%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWW099+1 : TPTP v9.2.1. Released v5.2.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n007.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 09:04:26 AM UTC 2026 % Result : Theorem 204.94s 205.29s % Output : Proof 0.35s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWW099+1 : TPTP v9.2.1. Released v5.2.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n007.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 21:36:26 EDT 2026 % 0.17/0.35 % CPUTime : % 0.29/0.50 %----Proving TF0_NAR, FOF, or CNF % 204.94/205.29 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 204.94/205.29 --- Run --no-e-matching --full-saturate-quant at 6... % 204.94/205.29 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 204.94/205.29 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 204.94/205.29 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 204.94/205.29 --- Run --trigger-sel=max --full-saturate-quant at 15... % 204.94/205.29 --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 33... % 204.94/205.29 --- Run --multi-trigger-cache --full-saturate-quant at 15... % 204.94/205.29 --- Run --prenex-quant=none --full-saturate-quant at 30... % 204.94/205.29 --- Run --enum-inst-interleave --decision=internal --full-saturate-quant at 15... % 204.94/205.29 --- Run --relevant-triggers --full-saturate-quant at 30... % 204.94/205.29 --- Run --finite-model-find --e-matching --sort-inference --uf-ss-fair at 15... % 204.94/205.29 % SZS status Theorem % 204.94/205.29 % SZS output start Proof % 204.94/205.29 ( % 204.94/205.29 (declare-sort $$unsorted 0) % 204.94/205.29 (declare-const tptp.not1 (-> $$unsorted $$unsorted)) % 204.94/205.29 (declare-const tptp.f1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 204.94/205.29 (declare-const tptp.f7 (-> $$unsorted $$unsorted)) % 204.94/205.29 (declare-const tptp.and1 (-> $$unsorted $$unsorted $$unsorted)) % 204.94/205.29 (declare-const tptp.impl (-> $$unsorted $$unsorted $$unsorted)) % 204.94/205.29 (declare-const tptp.lazy_impl (-> $$unsorted $$unsorted $$unsorted)) % 204.94/205.29 (declare-const tptp.bool (-> $$unsorted Bool)) % 204.94/205.29 (declare-const tptp.true $$unsorted) % 204.94/205.29 (declare-const tptp.existsprefers (-> $$unsorted $$unsorted Bool)) % 204.94/205.29 (declare-const tptp.exists1 (-> $$unsorted $$unsorted)) % 204.94/205.29 (declare-const tptp.not2 (-> $$unsorted $$unsorted)) % 204.94/205.29 (declare-const tptp.prop (-> $$unsorted $$unsorted)) % 204.94/205.29 (declare-const tptp.forallprefers (-> $$unsorted $$unsorted Bool)) % 204.94/205.29 (declare-const tptp.or2 (-> $$unsorted $$unsorted $$unsorted)) % 204.94/205.29 (declare-const tptp.d (-> $$unsorted Bool)) % 204.94/205.29 (declare-const tptp.false $$unsorted) % 204.94/205.29 (declare-const tptp.and2 (-> $$unsorted $$unsorted $$unsorted)) % 204.94/205.29 (declare-const tptp.lazy_and1 (-> $$unsorted $$unsorted $$unsorted)) % 204.94/205.29 (declare-const tptp.or1 (-> $$unsorted $$unsorted $$unsorted)) % 204.94/205.29 (declare-const tptp.f2 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 204.94/205.29 (declare-const tptp.err $$unsorted) % 204.94/205.29 (declare-const tptp.f6 (-> $$unsorted $$unsorted $$unsorted)) % 204.94/205.29 (declare-const tptp.phi (-> $$unsorted $$unsorted)) % 204.94/205.29 (declare-const tptp.lazy_and2 (-> $$unsorted $$unsorted $$unsorted)) % 204.94/205.29 (declare-const tptp.false2 $$unsorted) % 204.94/205.29 (declare-const tptp.apply (-> $$unsorted $$unsorted $$unsorted)) % 204.94/205.29 (declare-const tptp.f4 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 204.94/205.29 (declare-const tptp.f5 (-> $$unsorted $$unsorted $$unsorted)) % 204.94/205.29 (declare-const tptp.false1 $$unsorted) % 204.94/205.29 (declare-const tptp.f3 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 204.94/205.29 (declare-const tptp.exists2 (-> $$unsorted $$unsorted)) % 204.94/205.29 (define @t1 () (@var "X" $$unsorted)) % 204.94/205.29 (define @t2 () (= @t1 tptp.true)) % 204.94/205.29 (define @t3 () (= @t1 tptp.false)) % 204.94/205.29 (define @t4 () (or @t3 @t2)) % 204.94/205.29 (define @t5 () (tptp.bool @t1)) % 204.94/205.29 (define @t6 () (= @t5 @t4)) % 204.94/205.29 (define @t7 () (@list @t1)) % 204.94/205.29 (define @t8 () (forall @t7 @t6)) % 204.94/205.29 (define @t9 () (= tptp.false tptp.err)) % 204.94/205.29 (define @t10 () (not @t9)) % 204.94/205.29 (define @t11 () (= tptp.true tptp.err)) % 204.94/205.29 (define @t12 () (not @t11)) % 204.94/205.29 (define @t13 () (not (= tptp.true tptp.false))) % 204.94/205.29 (define @t14 () (tptp.d tptp.err)) % 204.94/205.29 (define @t15 () (tptp.d tptp.false)) % 204.94/205.29 (define @t16 () (tptp.d tptp.true)) % 204.94/205.29 (define @t17 () (@var "Y" $$unsorted)) % 204.94/205.29 (define @t18 () (and @t3 (= @t17 tptp.true))) % 204.94/205.29 (define @t19 () (not @t5)) % 204.94/205.29 (define @t20 () (tptp.d @t17)) % 204.94/205.29 (define @t21 () (tptp.d @t1)) % 204.94/205.29 (define @t22 () (and @t21 @t20 @t19 (tptp.bool @t17))) % 204.94/205.29 (define @t23 () (not @t21)) % 204.94/205.29 (define @t24 () (and @t23 @t20)) % 204.94/205.29 (define @t25 () (or @t24 @t22 @t18)) % 204.94/205.29 (define @t26 () (tptp.forallprefers @t1 @t17)) % 204.94/205.29 (define @t27 () (= @t26 @t25)) % 204.94/205.29 (define @t28 () (@list @t1 @t17)) % 204.94/205.29 (define @t29 () (forall @t28 @t27)) % 204.94/205.29 (define @t30 () (and @t2 (= @t17 tptp.false))) % 204.94/205.29 (define @t31 () (or @t24 @t22 @t30)) % 204.94/205.29 (define @t32 () (tptp.existsprefers @t1 @t17)) % 204.94/205.29 (define @t33 () (= @t32 @t31)) % 204.94/205.29 (define @t34 () (forall @t28 @t33)) % 204.94/205.29 (define @t35 () (tptp.phi @t1)) % 204.94/205.29 (define @t36 () (and @t23 (= @t35 tptp.err))) % 204.94/205.29 (define @t37 () (and @t21 (= @t35 @t1))) % 204.94/205.29 (define @t38 () (or @t37 @t36)) % 204.94/205.29 (define @t39 () (forall @t7 @t38)) % 204.94/205.29 (define @t40 () (tptp.prop @t1)) % 204.94/205.29 (define @t41 () (= @t40 tptp.true)) % 204.94/205.29 (define @t42 () (forall @t7 (= @t41 @t5))) % 204.94/205.29 (define @t43 () (= @t40 tptp.false)) % 204.94/205.29 (define @t44 () (forall @t7 (= @t43 @t19))) % 204.94/205.29 (define @t45 () (@var "A" $$unsorted)) % 204.94/205.29 (define @t46 () (tptp.phi @t45)) % 204.94/205.29 (define @t47 () (@var "B" $$unsorted)) % 204.94/205.29 (define @t48 () (tptp.impl @t45 @t47)) % 204.94/205.29 (define @t49 () (= @t48 @t46)) % 204.94/205.29 (define @t50 () (tptp.bool @t45)) % 204.94/205.29 (define @t51 () (not @t50)) % 204.94/205.29 (define @t52 () (@list @t45 @t47)) % 204.94/205.29 (define @t53 () (forall @t52 (=> @t51 @t49))) % 204.94/205.29 (define @t54 () (tptp.phi @t47)) % 204.94/205.29 (define @t55 () (= @t48 @t54)) % 204.94/205.29 (define @t56 () (tptp.bool @t47)) % 204.94/205.29 (define @t57 () (not @t56)) % 204.94/205.29 (define @t58 () (and @t50 @t57)) % 204.94/205.29 (define @t59 () (forall @t52 (=> @t58 @t55))) % 204.94/205.29 (define @t60 () (tptp.impl tptp.false @t47)) % 204.94/205.29 (define @t61 () (=> @t56 (= @t60 tptp.true))) % 204.94/205.29 (define @t62 () (@list @t47)) % 204.94/205.29 (define @t63 () (forall @t62 @t61)) % 204.94/205.29 (define @t64 () (tptp.impl tptp.true @t47)) % 204.94/205.29 (define @t65 () (=> @t56 (= @t64 @t47))) % 204.94/205.29 (define @t66 () (forall @t62 @t65)) % 204.94/205.29 (define @t67 () (tptp.lazy_impl @t45 @t47)) % 204.94/205.29 (define @t68 () (=> @t51 (= @t67 @t46))) % 204.94/205.29 (define @t69 () (forall @t52 @t68)) % 204.94/205.29 (define @t70 () (tptp.lazy_impl tptp.false @t47)) % 204.94/205.29 (define @t71 () (forall @t62 (= @t70 tptp.true))) % 204.94/205.29 (define @t72 () (tptp.lazy_impl tptp.true @t47)) % 204.94/205.29 (define @t73 () (forall @t62 (= @t72 @t54))) % 204.94/205.29 (define @t74 () (tptp.and1 @t45 @t47)) % 204.94/205.29 (define @t75 () (@var "R" $$unsorted)) % 204.94/205.29 (define @t76 () (@var "Q" $$unsorted)) % 204.94/205.29 (define @t77 () (tptp.impl @t76 @t75)) % 204.94/205.29 (define @t78 () (@var "P" $$unsorted)) % 204.94/205.29 (define @t79 () (tptp.prop @t75)) % 204.94/205.29 (define @t80 () (tptp.f1 @t78 @t76 @t75)) % 204.94/205.29 (define @t81 () (@list @t78 @t76 @t75)) % 204.94/205.29 (define @t82 () (@var "R1" $$unsorted)) % 204.94/205.29 (define @t83 () (@list @t82)) % 204.94/205.29 (define @t84 () (@list @t75)) % 204.94/205.29 (define @t85 () (@list @t78 @t76)) % 204.94/205.29 (define @t86 () (tptp.f2 @t78 @t76 @t75)) % 204.94/205.29 (define @t87 () (tptp.or1 @t45 @t47)) % 204.94/205.29 (define @t88 () (tptp.or1 tptp.false @t47)) % 204.94/205.29 (define @t89 () (=> @t56 (= @t88 @t47))) % 204.94/205.29 (define @t90 () (forall @t62 @t89)) % 204.94/205.29 (define @t91 () (tptp.f3 @t78 @t76 @t75)) % 204.94/205.29 (define @t92 () (tptp.apply @t78 @t1)) % 204.94/205.29 (define @t93 () (@var "X1" $$unsorted)) % 204.94/205.29 (define @t94 () (tptp.existsprefers (tptp.apply @t78 @t93) @t92)) % 204.94/205.29 (define @t95 () (@list @t93)) % 204.94/205.29 (define @t96 () (exists @t95 @t94)) % 204.94/205.29 (define @t97 () (not @t96)) % 204.94/205.29 (define @t98 () (tptp.exists1 @t78)) % 204.94/205.29 (define @t99 () (= @t98 (tptp.phi @t92))) % 204.94/205.29 (define @t100 () (and @t99 @t97)) % 204.94/205.29 (define @t101 () (exists @t7 @t100)) % 204.94/205.29 (define @t102 () (@list @t78)) % 204.94/205.29 (define @t103 () (forall @t102 @t101)) % 204.94/205.29 (define @t104 () (tptp.f4 @t78 @t1 @t75)) % 204.94/205.29 (define @t105 () (forall (@list @t78 @t1 @t75) (= @t104 (tptp.impl @t92 @t75)))) % 204.94/205.29 (define @t106 () (tptp.forallprefers (tptp.f4 @t78 @t93 @t75) @t104)) % 204.94/205.29 (define @t107 () (exists @t95 @t106)) % 204.94/205.29 (define @t108 () (not @t107)) % 204.94/205.29 (define @t109 () (tptp.f5 @t78 @t75)) % 204.94/205.29 (define @t110 () (= @t109 (tptp.phi @t104))) % 204.94/205.29 (define @t111 () (and @t110 @t108)) % 204.94/205.29 (define @t112 () (exists @t7 @t111)) % 204.94/205.29 (define @t113 () (@list @t78 @t75)) % 204.94/205.29 (define @t114 () (forall @t113 @t112)) % 204.94/205.29 (define @t115 () (tptp.f6 @t78 @t75)) % 204.94/205.29 (define @t116 () (forall @t113 (= @t115 (tptp.lazy_impl @t79 (tptp.impl @t109 @t75))))) % 204.94/205.29 (define @t117 () (tptp.forallprefers (tptp.f6 @t78 @t82) @t115)) % 204.94/205.29 (define @t118 () (exists @t83 @t117)) % 204.94/205.29 (define @t119 () (not @t118)) % 204.94/205.29 (define @t120 () (tptp.exists2 @t78)) % 204.94/205.29 (define @t121 () (= @t120 (tptp.phi @t115))) % 204.94/205.29 (define @t122 () (and @t121 @t119)) % 204.94/205.29 (define @t123 () (exists @t84 @t122)) % 204.94/205.29 (define @t124 () (forall @t102 @t123)) % 204.94/205.29 (define @t125 () (tptp.f7 @t78)) % 204.94/205.29 (define @t126 () (@var "P1" $$unsorted)) % 204.94/205.29 (define @t127 () (tptp.f7 @t126)) % 204.94/205.29 (define @t128 () (tptp.forallprefers @t127 @t125)) % 204.94/205.29 (define @t129 () (@list @t126)) % 204.94/205.29 (define @t130 () (exists @t129 @t128)) % 204.94/205.29 (define @t131 () (not @t130)) % 204.94/205.29 (define @t132 () (= tptp.false2 (tptp.phi @t125))) % 204.94/205.29 (define @t133 () (and @t132 @t131)) % 204.94/205.29 (define @t134 () (exists @t102 @t133)) % 204.94/205.29 (define @t135 () (tptp.not1 @t45)) % 204.94/205.29 (define @t136 () (=> @t51 (= @t135 @t46))) % 204.94/205.29 (define @t137 () (@list @t45)) % 204.94/205.29 (define @t138 () (forall @t137 @t136)) % 204.94/205.29 (define @t139 () (tptp.not1 tptp.false)) % 204.94/205.29 (define @t140 () (tptp.not1 tptp.true)) % 204.94/205.29 (define @t141 () (= @t98 @t120)) % 204.94/205.29 (define @t142 () (tptp.bool @t120)) % 204.94/205.29 (define @t143 () (tptp.bool @t98)) % 204.94/205.29 (define @t144 () (or @t143 @t142)) % 204.94/205.29 (define @t145 () (forall @t102 (=> @t144 @t141))) % 204.94/205.29 (define @t146 () (not @t145)) % 204.94/205.29 (define @t147 () (tptp.not1 tptp.false1)) % 204.94/205.29 (define @t148 () (@var "b_X" it_107_$$unsorted)) % 204.94/205.29 (define @t149 () (@var "b_P" it_106_$$unsorted)) % 204.94/205.29 (define @t150 () (@const 0 (-> it_106_$$unsorted $$unsorted))) % 204.94/205.29 (define @t151 () (_ @t150 @t149)) % 204.94/205.29 (define @t152 () (@const 1 (-> it_106_$$unsorted $$unsorted))) % 204.94/205.29 (define @t153 () (_ @t152 @t149)) % 204.94/205.29 (define @t154 () (forall (@list @t149) (or (and (not (tptp.bool @t153)) (not (tptp.bool @t151))) (= @t153 @t151)))) % 204.94/205.29 (define @t155 () (@quantifiers_skolemize @t154 0)) % 204.94/205.29 (define @t156 () (@const 2 (-> it_106_$$unsorted it_107_$$unsorted $$unsorted $$unsorted))) % 204.94/205.29 (define @t157 () (_ @t156 @t155 @t148 @t147)) % 204.94/205.29 (define @t158 () (@var "b_X1" it_107_$$unsorted)) % 204.94/205.29 (define @t159 () (_ @t156 @t155 @t158 @t147)) % 204.94/205.29 (define @t160 () (@list @t158)) % 204.94/205.29 (define @t161 () (@const 3 (-> it_106_$$unsorted $$unsorted $$unsorted))) % 204.94/205.29 (define @t162 () (_ @t161 @t155 @t147)) % 204.94/205.29 (define @t163 () (@list @t148)) % 204.94/205.29 (define @t164 () (@quantifiers_skolemize (forall @t163 (or (not (= @t162 (tptp.phi @t157))) (not (forall @t160 (not (tptp.forallprefers @t159 @t157)))))) 0)) % 204.94/205.29 (define @t165 () (@const 4 (-> it_106_$$unsorted it_107_$$unsorted $$unsorted))) % 204.94/205.29 (define @t166 () (_ @t165 @t155 @t164)) % 204.94/205.29 (define @t167 () (@list @t166)) % 204.94/205.29 (define @t168 () (_ @t156 @t155 @t164 @t147)) % 204.94/205.29 (define @t169 () (@list @t168)) % 204.94/205.29 (define @t170 () (= tptp.false1 @t1)) % 204.94/205.29 (define @t171 () (and @t170 (= @t147 @t17))) % 204.94/205.29 (define @t172 () (or @t24 @t22 @t171)) % 204.94/205.29 (define @t173 () (= @t26 @t172)) % 204.94/205.29 (define @t174 () (= tptp.true @t17)) % 204.94/205.29 (define @t175 () (= tptp.false @t1)) % 204.94/205.29 (define @t176 () (and @t175 @t174)) % 204.94/205.29 (define @t177 () (or @t24 @t22 @t176)) % 204.94/205.29 (define @t178 () (= @t26 @t177)) % 204.94/205.29 (define @t179 () (@const 5 (-> it_106_$$unsorted $$unsorted $$unsorted))) % 204.94/205.29 (define @t180 () (_ @t179 @t155 @t75)) % 204.94/205.29 (define @t181 () (_ @t179 @t155 @t82)) % 204.94/205.29 (define @t182 () (_ @t150 @t155)) % 204.94/205.29 (define @t183 () (forall @t84 (or (not (= @t182 (tptp.phi @t180))) (not (forall @t83 (not (tptp.forallprefers @t181 @t180))))))) % 204.94/205.29 (define @t184 () (@quantifiers_skolemize @t183 0)) % 204.94/205.29 (define @t185 () (_ @t179 @t155 @t184)) % 204.94/205.29 (define @t186 () (_ @t179 @t155 @t147)) % 204.94/205.29 (define @t187 () (= @t185 @t147)) % 204.94/205.29 (define @t188 () (and (= @t186 tptp.false1) @t187)) % 204.94/205.29 (define @t189 () (tptp.bool @t185)) % 204.94/205.29 (define @t190 () (tptp.bool @t186)) % 204.94/205.29 (define @t191 () (not @t190)) % 204.94/205.29 (define @t192 () (tptp.d @t185)) % 204.94/205.29 (define @t193 () (tptp.d @t186)) % 204.94/205.29 (define @t194 () (and @t193 @t192 @t191 @t189)) % 204.94/205.29 (define @t195 () (not @t193)) % 204.94/205.29 (define @t196 () (and @t195 @t192)) % 204.94/205.29 (define @t197 () (or @t196 @t194 @t188)) % 204.94/205.29 (define @t198 () (tptp.forallprefers @t186 @t185)) % 204.94/205.29 (define @t199 () (= @t198 @t197)) % 204.94/205.29 (define @t200 () (= @t1 tptp.false1)) % 204.94/205.29 (define @t201 () (forall @t28 (= @t26 (or @t24 @t22 (and @t200 (= @t17 @t147)))))) % 204.94/205.29 (define @t202 () (= @t147 @t185)) % 204.94/205.29 (define @t203 () (or @t196 @t194 (and (= tptp.false1 @t186) @t202))) % 204.94/205.29 (define @t204 () (= @t198 @t203)) % 204.94/205.29 (define @t205 () (@list false)) % 204.94/205.29 (define @t206 () (@list @t201)) % 204.94/205.29 (define @t207 () (@var "b_P" it_106_$$unsorted)) % 204.94/205.29 (define @t208 () (_ @t179 @t207 @t75)) % 204.94/205.29 (define @t209 () (forall (@list @t207) (not (forall @t84 (or (not (= (_ @t150 @t207) (tptp.phi @t208))) (not (forall @t83 (not (tptp.forallprefers (_ @t179 @t207 @t82) @t208))))))))) % 204.94/205.29 (define @t210 () (forall @t83 (not @t117))) % 204.94/205.29 (define @t211 () (not @t210)) % 204.94/205.29 (define @t212 () (and @t121 @t210)) % 204.94/205.29 (define @t213 () (forall @t84 (not @t212))) % 204.94/205.29 (define @t214 () (not @t213)) % 204.94/205.29 (define @t215 () (@list @t155)) % 204.94/205.29 (define @t216 () (forall @t83 (not (tptp.forallprefers @t181 @t185)))) % 204.94/205.29 (define @t217 () (not @t216)) % 204.94/205.29 (define @t218 () (tptp.phi @t185)) % 204.94/205.29 (define @t219 () (= @t182 @t218)) % 204.94/205.29 (define @t220 () (not @t219)) % 204.94/205.29 (define @t221 () (or @t220 @t217)) % 204.94/205.29 (define @t222 () (@list true)) % 204.94/205.29 (define @t223 () (@list @t221)) % 204.94/205.29 (define @t224 () (@list @t147)) % 204.94/205.29 (define @t225 () (not @t203)) % 204.94/205.29 (define @t226 () (@list true false)) % 204.94/205.29 (define @t227 () (@list @t203)) % 204.94/205.29 (define @t228 () (= @t147 @t1)) % 204.94/205.29 (define @t229 () (or @t170 @t228)) % 204.94/205.29 (define @t230 () (= @t5 @t229)) % 204.94/205.29 (define @t231 () (= tptp.true @t1)) % 204.94/205.29 (define @t232 () (or @t175 @t231)) % 204.94/205.29 (define @t233 () (= @t5 @t232)) % 204.94/205.29 (define @t234 () (@list tptp.err)) % 204.94/205.29 (define @t235 () (= tptp.err @t147)) % 204.94/205.29 (define @t236 () (= tptp.err tptp.false1)) % 204.94/205.29 (define @t237 () (or @t236 @t235)) % 204.94/205.29 (define @t238 () (not @t237)) % 204.94/205.29 (define @t239 () (@list true true)) % 204.94/205.29 (define @t240 () (tptp.bool tptp.err)) % 204.94/205.29 (define @t241 () (= @t240 @t237)) % 204.94/205.29 (define @t242 () (not @t240)) % 204.94/205.29 (define @t243 () (not @t154)) % 204.94/205.29 (define @t244 () (_ @t152 @t155)) % 204.94/205.29 (define @t245 () (= @t244 @t182)) % 204.94/205.29 (define @t246 () (tptp.bool @t182)) % 204.94/205.29 (define @t247 () (not @t246)) % 204.94/205.29 (define @t248 () (tptp.bool @t244)) % 204.94/205.29 (define @t249 () (not @t248)) % 204.94/205.29 (define @t250 () (and @t249 @t247)) % 204.94/205.29 (define @t251 () (or @t250 @t245)) % 204.94/205.29 (define @t252 () (@list @t251)) % 204.94/205.29 (define @t253 () (= @t244 @t147)) % 204.94/205.29 (define @t254 () (= @t244 tptp.false1)) % 204.94/205.29 (define @t255 () (or @t254 @t253)) % 204.94/205.29 (define @t256 () (= @t248 @t255)) % 204.94/205.29 (define @t257 () (= @t1 @t147)) % 204.94/205.29 (define @t258 () (forall @t7 (= @t5 (or @t200 @t257)))) % 204.94/205.29 (define @t259 () (@list @t244)) % 204.94/205.29 (define @t260 () (= @t147 @t244)) % 204.94/205.29 (define @t261 () (= tptp.false1 @t244)) % 204.94/205.29 (define @t262 () (or @t261 @t260)) % 204.94/205.29 (define @t263 () (= @t248 @t262)) % 204.94/205.29 (define @t264 () (@list @t258)) % 204.94/205.29 (define @t265 () (not @t263)) % 204.94/205.29 (define @t266 () (= @t5 (= @t147 @t40))) % 204.94/205.29 (define @t267 () (= tptp.true @t40)) % 204.94/205.29 (define @t268 () (= @t5 @t267)) % 204.94/205.29 (define @t269 () (tptp.prop @t244)) % 204.94/205.29 (define @t270 () (= @t248 (= @t269 @t147))) % 204.94/205.29 (define @t271 () (forall @t7 (= @t5 (= @t40 @t147)))) % 204.94/205.29 (define @t272 () (= @t147 @t269)) % 204.94/205.29 (define @t273 () (= @t248 @t272)) % 204.94/205.29 (define @t274 () (@list @t271)) % 204.94/205.29 (define @t275 () (not @t273)) % 204.94/205.29 (define @t276 () (= tptp.true @t60)) % 204.94/205.29 (define @t277 () (or @t57 @t276)) % 204.94/205.29 (define @t278 () (tptp.impl tptp.false1 @t244)) % 204.94/205.29 (define @t279 () (= @t147 @t278)) % 204.94/205.29 (define @t280 () (or @t249 @t279)) % 204.94/205.29 (define @t281 () (= @t47 @t64)) % 204.94/205.29 (define @t282 () (or @t57 @t281)) % 204.94/205.29 (define @t283 () (tptp.impl @t147 @t244)) % 204.94/205.29 (define @t284 () (= @t244 @t283)) % 204.94/205.29 (define @t285 () (or @t249 @t284)) % 204.94/205.29 (define @t286 () (= @t47 @t88)) % 204.94/205.29 (define @t287 () (or @t57 @t286)) % 204.94/205.29 (define @t288 () (= @t244 (tptp.or1 tptp.false1 @t244))) % 204.94/205.29 (define @t289 () (or @t249 @t288)) % 204.94/205.29 (define @t290 () (not @t245)) % 204.94/205.29 (define @t291 () (= tptp.false1 @t182)) % 204.94/205.29 (define @t292 () (not @t291)) % 204.94/205.29 (define @t293 () (not @t261)) % 204.94/205.29 (define @t294 () (not @t290)) % 204.94/205.29 (define @t295 () (and @t290 @t261)) % 204.94/205.29 (define @t296 () (tptp.bool @t147)) % 204.94/205.29 (define @t297 () (not @t296)) % 204.94/205.29 (define @t298 () (tptp.d @t244)) % 204.94/205.29 (define @t299 () (tptp.d @t147)) % 204.94/205.29 (define @t300 () (and @t299 @t298 @t297 @t248)) % 204.94/205.29 (define @t301 () (not @t299)) % 204.94/205.29 (define @t302 () (and @t301 @t298)) % 204.94/205.29 (define @t303 () (or @t302 @t300 @t261)) % 204.94/205.29 (define @t304 () (@var "b_X" it_107_$$unsorted)) % 204.94/205.29 (define @t305 () (@var "b_P" it_106_$$unsorted)) % 204.94/205.29 (define @t306 () (_ @t165 @t305 @t304)) % 204.94/205.29 (define @t307 () (@var "b_X1" it_107_$$unsorted)) % 204.94/205.29 (define @t308 () (@list @t307)) % 204.94/205.29 (define @t309 () (@list @t304)) % 204.94/205.29 (define @t310 () (forall (@list @t305) (not (forall @t309 (or (not (= (_ @t152 @t305) (tptp.phi @t306))) (not (forall @t308 (not (tptp.existsprefers (_ @t165 @t305 @t307) @t306))))))))) % 204.94/205.29 (define @t311 () (forall @t95 (not @t94))) % 204.94/205.29 (define @t312 () (not @t311)) % 204.94/205.29 (define @t313 () (and @t99 @t311)) % 204.94/205.29 (define @t314 () (forall @t7 (not @t313))) % 204.94/205.29 (define @t315 () (not @t314)) % 204.94/205.29 (define @t316 () (_ @t165 @t155 @t304)) % 204.94/205.29 (define @t317 () (_ @t165 @t155 @t307)) % 204.94/205.29 (define @t318 () (forall @t309 (or (not (= @t244 (tptp.phi @t316))) (not (forall @t308 (not (tptp.existsprefers @t317 @t316))))))) % 204.94/205.29 (define @t319 () (@quantifiers_skolemize @t318 0)) % 204.94/205.29 (define @t320 () (_ @t165 @t155 @t319)) % 204.94/205.29 (define @t321 () (tptp.phi @t320)) % 204.94/205.29 (define @t322 () (= @t244 @t321)) % 204.94/205.29 (define @t323 () (forall @t308 (not (tptp.existsprefers @t317 @t320)))) % 204.94/205.29 (define @t324 () (not @t323)) % 204.94/205.29 (define @t325 () (not @t322)) % 204.94/205.29 (define @t326 () (or @t325 @t324)) % 204.94/205.29 (define @t327 () (@list @t326)) % 204.94/205.29 (define @t328 () (= tptp.err @t321)) % 204.94/205.29 (define @t329 () (not @t328)) % 204.94/205.29 (define @t330 () (not @t288)) % 204.94/205.29 (define @t331 () (not @t236)) % 204.94/205.29 (define @t332 () (and @t331 @t261 @t288 @t322)) % 204.94/205.29 (define @t333 () (and @t228 (= tptp.false1 @t17))) % 204.94/205.29 (define @t334 () (or @t24 @t22 @t333)) % 204.94/205.29 (define @t335 () (= @t32 @t334)) % 204.94/205.29 (define @t336 () (= tptp.false @t17)) % 204.94/205.29 (define @t337 () (and @t231 @t336)) % 204.94/205.29 (define @t338 () (or @t24 @t22 @t337)) % 204.94/205.29 (define @t339 () (= @t32 @t338)) % 204.94/205.29 (define @t340 () (= @t147 @t147)) % 204.94/205.29 (define @t341 () (and @t340 @t254)) % 204.94/205.29 (define @t342 () (or @t302 @t300 @t341)) % 204.94/205.29 (define @t343 () (tptp.existsprefers @t147 @t244)) % 204.94/205.29 (define @t344 () (= @t343 @t342)) % 204.94/205.29 (define @t345 () (forall @t28 (= @t32 (or @t24 @t22 (and @t257 (= @t17 tptp.false1)))))) % 204.94/205.29 (define @t346 () (@list @t147 @t244)) % 204.94/205.29 (define @t347 () (= @t343 @t303)) % 204.94/205.29 (define @t348 () (@list @t345)) % 204.94/205.29 (define @t349 () (tptp.d @t320)) % 204.94/205.29 (define @t350 () (not @t349)) % 204.94/205.29 (define @t351 () (and @t350 @t328)) % 204.94/205.29 (define @t352 () (not @t351)) % 204.94/205.29 (define @t353 () (@list @t320)) % 204.94/205.29 (define @t354 () (= @t320 @t321)) % 204.94/205.29 (define @t355 () (and @t349 @t354)) % 204.94/205.29 (define @t356 () (or @t355 @t351)) % 204.94/205.29 (define @t357 () (not @t355)) % 204.94/205.29 (define @t358 () (= @t320 tptp.false1)) % 204.94/205.29 (define @t359 () (= @t166 @t147)) % 204.94/205.29 (define @t360 () (and @t359 @t358)) % 204.94/205.29 (define @t361 () (tptp.bool @t320)) % 204.94/205.29 (define @t362 () (tptp.bool @t166)) % 204.94/205.29 (define @t363 () (not @t362)) % 204.94/205.29 (define @t364 () (tptp.d @t166)) % 204.94/205.29 (define @t365 () (and @t364 @t349 @t363 @t361)) % 204.94/205.29 (define @t366 () (not @t364)) % 204.94/205.29 (define @t367 () (and @t366 @t349)) % 204.94/205.29 (define @t368 () (or @t367 @t365 @t360)) % 204.94/205.29 (define @t369 () (tptp.existsprefers @t166 @t320)) % 204.94/205.29 (define @t370 () (= @t369 @t368)) % 204.94/205.29 (define @t371 () (= tptp.false1 @t320)) % 204.94/205.29 (define @t372 () (= @t147 @t166)) % 204.94/205.29 (define @t373 () (or @t367 @t365 (and @t372 @t371))) % 204.94/205.29 (define @t374 () (= @t369 @t373)) % 204.94/205.29 (define @t375 () (not @t373)) % 204.94/205.29 (define @t376 () (@list @t373)) % 204.94/205.29 (define @t377 () (_ @t156 @t155 @t148 tptp.false1)) % 204.94/205.29 (define @t378 () (_ @t156 @t155 @t158 tptp.false1)) % 204.94/205.29 (define @t379 () (_ @t161 @t155 tptp.false1)) % 204.94/205.29 (define @t380 () (@quantifiers_skolemize (forall @t163 (or (not (= @t379 (tptp.phi @t377))) (not (forall @t160 (not (tptp.forallprefers @t378 @t377)))))) 0)) % 204.94/205.29 (define @t381 () (_ @t165 @t155 @t380)) % 204.94/205.29 (define @t382 () (= @t381 @t147)) % 204.94/205.29 (define @t383 () (and @t382 @t358)) % 204.94/205.29 (define @t384 () (tptp.bool @t381)) % 204.94/205.29 (define @t385 () (not @t384)) % 204.94/205.29 (define @t386 () (tptp.d @t381)) % 204.94/205.29 (define @t387 () (and @t386 @t349 @t385 @t361)) % 204.94/205.29 (define @t388 () (not @t386)) % 204.94/205.29 (define @t389 () (and @t388 @t349)) % 204.94/205.29 (define @t390 () (or @t389 @t387 @t383)) % 204.94/205.29 (define @t391 () (tptp.existsprefers @t381 @t320)) % 204.94/205.29 (define @t392 () (= @t391 @t390)) % 204.94/205.29 (define @t393 () (= @t147 @t381)) % 204.94/205.29 (define @t394 () (or @t389 @t387 (and @t393 @t371))) % 204.94/205.29 (define @t395 () (= @t391 @t394)) % 204.94/205.29 (define @t396 () (not @t394)) % 204.94/205.29 (define @t397 () (@list @t394)) % 204.94/205.29 (define @t398 () (and @t261 @t322 @t354)) % 204.94/205.29 (define @t399 () (not @t354)) % 204.94/205.29 (define @t400 () (tptp.bool tptp.false1)) % 204.94/205.29 (define @t401 () (= tptp.false1 @t147)) % 204.94/205.29 (define @t402 () (= tptp.false1 tptp.false1)) % 204.94/205.29 (define @t403 () (or @t402 @t401)) % 204.94/205.29 (define @t404 () (= @t400 @t403)) % 204.94/205.29 (define @t405 () (@list tptp.false1)) % 204.94/205.29 (define @t406 () (and @t261 @t400 @t322 @t354)) % 204.94/205.29 (define @t407 () (not @t372)) % 204.94/205.29 (define @t408 () (not @t371)) % 204.94/205.29 (define @t409 () (not @t343)) % 204.94/205.29 (define @t410 () (not @t369)) % 204.94/205.29 (define @t411 () (= false true)) % 204.94/205.29 (define @t412 () (and @t343 @t372 @t261 @t371 @t410)) % 204.94/205.29 (define @t413 () (not @t393)) % 204.94/205.29 (define @t414 () (not @t391)) % 204.94/205.29 (define @t415 () (and @t343 @t393 @t261 @t371 @t414)) % 204.94/205.29 (define @t416 () (not @t361)) % 204.94/205.29 (define @t417 () (not @t385)) % 204.94/205.29 (define @t418 () (or (= @t166 tptp.false1) @t359)) % 204.94/205.29 (define @t419 () (= @t362 @t418)) % 204.94/205.29 (define @t420 () (= tptp.false1 @t166)) % 204.94/205.29 (define @t421 () (or @t420 @t372)) % 204.94/205.29 (define @t422 () (= @t362 @t421)) % 204.94/205.29 (define @t423 () (or (= @t381 tptp.false1) @t382)) % 204.94/205.29 (define @t424 () (= @t384 @t423)) % 204.94/205.29 (define @t425 () (@list @t381)) % 204.94/205.29 (define @t426 () (= tptp.false1 @t381)) % 204.94/205.29 (define @t427 () (or @t426 @t393)) % 204.94/205.29 (define @t428 () (= @t384 @t427)) % 204.94/205.29 (define @t429 () (not @t421)) % 204.94/205.29 (define @t430 () (tptp.phi tptp.false1)) % 204.94/205.29 (define @t431 () (tptp.d tptp.false1)) % 204.94/205.29 (define @t432 () (not @t431)) % 204.94/205.29 (define @t433 () (and @t432 (= tptp.err @t430))) % 204.94/205.29 (define @t434 () (not @t433)) % 204.94/205.29 (define @t435 () (= tptp.false1 @t430)) % 204.94/205.29 (define @t436 () (and @t431 @t435)) % 204.94/205.29 (define @t437 () (or @t436 @t433)) % 204.94/205.29 (define @t438 () (tptp.phi @t147)) % 204.94/205.29 (define @t439 () (and @t301 (= tptp.err @t438))) % 204.94/205.29 (define @t440 () (not @t439)) % 204.94/205.29 (define @t441 () (= @t147 @t438)) % 204.94/205.29 (define @t442 () (and @t299 @t441)) % 204.94/205.29 (define @t443 () (or @t442 @t439)) % 204.94/205.29 (define @t444 () (= @t54 @t72)) % 204.94/205.29 (define @t445 () (= @t46 @t135)) % 204.94/205.29 (define @t446 () (not @t51)) % 204.94/205.29 (define @t447 () (tptp.not1 @t147)) % 204.94/205.29 (define @t448 () (or @t296 (= @t438 @t447))) % 204.94/205.29 (define @t449 () (forall @t137 (or @t50 @t445))) % 204.94/205.29 (define @t450 () (= @t447 @t438)) % 204.94/205.29 (define @t451 () (or @t296 @t450)) % 204.94/205.29 (define @t452 () (= tptp.false tptp.true)) % 204.94/205.29 (define @t453 () (tptp.impl @t147 @t147)) % 204.94/205.29 (define @t454 () (= @t147 @t453)) % 204.94/205.29 (define @t455 () (or @t297 @t454)) % 204.94/205.29 (define @t456 () (@list false false)) % 204.94/205.29 (define @t457 () (@var "b_P" it_106_$$unsorted)) % 204.94/205.29 (define @t458 () (forall (@list @t457 @t75) (= (_ @t179 @t457 @t75) (tptp.lazy_impl @t79 (tptp.impl (_ @t161 @t457 @t75) @t75))))) % 204.94/205.29 (define @t459 () (@list @t155 tptp.false1)) % 204.94/205.29 (define @t460 () (@var "b_P" it_106_$$unsorted)) % 204.94/205.29 (define @t461 () (_ @t156 @t460 @t148 @t75)) % 204.94/205.29 (define @t462 () (forall @t95 (not @t106))) % 204.94/205.29 (define @t463 () (not @t462)) % 204.94/205.29 (define @t464 () (and @t110 @t462)) % 204.94/205.29 (define @t465 () (forall @t7 (not @t464))) % 204.94/205.29 (define @t466 () (not @t465)) % 204.94/205.29 (define @t467 () (_ @t156 @t155 @t380 tptp.false1)) % 204.94/205.29 (define @t468 () (tptp.phi @t467)) % 204.94/205.29 (define @t469 () (= @t379 @t468)) % 204.94/205.29 (define @t470 () (forall @t160 (not (tptp.forallprefers @t378 @t467)))) % 204.94/205.29 (define @t471 () (not @t470)) % 204.94/205.29 (define @t472 () (not @t469)) % 204.94/205.29 (define @t473 () (or @t472 @t471)) % 204.94/205.29 (define @t474 () (@list @t473)) % 204.94/205.29 (define @t475 () (= tptp.true @t70)) % 204.94/205.29 (define @t476 () (tptp.impl tptp.false1 tptp.false1)) % 204.94/205.29 (define @t477 () (tptp.impl @t147 @t278)) % 204.94/205.29 (define @t478 () (tptp.impl @t477 @t244)) % 204.94/205.29 (define @t479 () (tptp.prop tptp.false1)) % 204.94/205.29 (define @t480 () (= @t400 (= @t479 @t147))) % 204.94/205.29 (define @t481 () (= @t147 @t479)) % 204.94/205.29 (define @t482 () (= @t400 @t481)) % 204.94/205.29 (define @t483 () (not @t400)) % 204.94/205.29 (define @t484 () (tptp.impl @t147 tptp.false1)) % 204.94/205.29 (define @t485 () (= tptp.false1 @t484)) % 204.94/205.29 (define @t486 () (or @t483 @t485)) % 204.94/205.29 (define @t487 () (@var "b_X" it_107_$$unsorted)) % 204.94/205.29 (define @t488 () (@var "b_P" it_106_$$unsorted)) % 204.94/205.29 (define @t489 () (tptp.lazy_impl @t147 tptp.false1)) % 204.94/205.29 (define @t490 () (= @t430 @t489)) % 204.94/205.29 (define @t491 () (tptp.impl @t379 tptp.false1)) % 204.94/205.29 (define @t492 () (tptp.lazy_impl @t479 @t491)) % 204.94/205.29 (define @t493 () (_ @t179 @t155 tptp.false1)) % 204.94/205.29 (define @t494 () (= @t493 @t492)) % 204.94/205.29 (define @t495 () (tptp.lazy_impl tptp.false1 @t476)) % 204.94/205.29 (define @t496 () (= @t147 @t495)) % 204.94/205.29 (define @t497 () (= tptp.false1 @t184)) % 204.94/205.29 (define @t498 () (= @t147 (tptp.lazy_impl tptp.false1 @t478))) % 204.94/205.29 (define @t499 () (tptp.impl @t381 tptp.false1)) % 204.94/205.29 (define @t500 () (= @t467 @t499)) % 204.94/205.29 (define @t501 () (tptp.lazy_impl tptp.false1 @t283)) % 204.94/205.29 (define @t502 () (tptp.impl @t501 @t244)) % 204.94/205.29 (define @t503 () (tptp.impl @t278 @t244)) % 204.94/205.29 (define @t504 () (tptp.impl @t278 @t503)) % 204.94/205.29 (define @t505 () (tptp.impl @t147 @t283)) % 204.94/205.29 (define @t506 () (tptp.impl @t244 tptp.false1)) % 204.94/205.29 (define @t507 () (tptp.impl tptp.false1 @t283)) % 204.94/205.29 (define @t508 () (tptp.impl @t495 tptp.false1)) % 204.94/205.29 (define @t509 () (and @t261 @t435 @t441 @t279 @t284 @t454 @t490 @t494 @t469 @t219 @t496 @t481 @t497 @t485 @t498 @t500 @t426)) % 204.94/205.29 (define @t510 () (not @t426)) % 204.94/205.29 (define @t511 () (not @t500)) % 204.94/205.29 (define @t512 () (not @t498)) % 204.94/205.29 (define @t513 () (not @t485)) % 204.94/205.29 (define @t514 () (not @t481)) % 204.94/205.29 (define @t515 () (not @t497)) % 204.94/205.29 (define @t516 () (not @t496)) % 204.94/205.29 (define @t517 () (not @t494)) % 204.94/205.29 (define @t518 () (not @t490)) % 204.94/205.29 (define @t519 () (not @t454)) % 204.94/205.29 (define @t520 () (not @t284)) % 204.94/205.29 (define @t521 () (not @t279)) % 204.94/205.29 (define @t522 () (not @t441)) % 204.94/205.29 (define @t523 () (not @t435)) % 204.94/205.29 (define @t524 () (tptp.prop @t147)) % 204.94/205.29 (define @t525 () (= @t296 (= @t524 @t147))) % 204.94/205.29 (define @t526 () (= @t147 @t524)) % 204.94/205.29 (define @t527 () (= @t296 @t526)) % 204.94/205.29 (define @t528 () (tptp.impl tptp.false1 @t147)) % 204.94/205.29 (define @t529 () (= @t147 @t528)) % 204.94/205.29 (define @t530 () (or @t297 @t529)) % 204.94/205.29 (define @t531 () (tptp.forallprefers tptp.false1 @t147)) % 204.94/205.29 (define @t532 () (and @t431 @t299 @t483 @t296)) % 204.94/205.29 (define @t533 () (and @t432 @t299)) % 204.94/205.29 (define @t534 () (and @t402 @t340)) % 204.94/205.29 (define @t535 () (or @t533 @t532 @t534)) % 204.94/205.29 (define @t536 () (= @t531 @t535)) % 204.94/205.29 (define @t537 () (@list @t155 @t147)) % 204.94/205.29 (define @t538 () (tptp.phi @t168)) % 204.94/205.29 (define @t539 () (= @t162 @t538)) % 204.94/205.29 (define @t540 () (forall @t160 (not (tptp.forallprefers @t159 @t168)))) % 204.94/205.29 (define @t541 () (not @t540)) % 204.94/205.29 (define @t542 () (not @t539)) % 204.94/205.29 (define @t543 () (or @t542 @t541)) % 204.94/205.29 (define @t544 () (@list @t543)) % 204.94/205.29 (define @t545 () (not @t420)) % 204.94/205.29 (define @t546 () (tptp.impl @t166 @t147)) % 204.94/205.29 (define @t547 () (= @t168 @t546)) % 204.94/205.29 (define @t548 () (not @t547)) % 204.94/205.29 (define @t549 () (tptp.forallprefers @t493 @t185)) % 204.94/205.29 (define @t550 () (_ @t161 @t155 @t184)) % 204.94/205.29 (define @t551 () (tptp.impl @t550 @t184)) % 204.94/205.29 (define @t552 () (tptp.prop @t184)) % 204.94/205.29 (define @t553 () (tptp.lazy_impl @t552 @t551)) % 204.94/205.29 (define @t554 () (= @t185 @t553)) % 204.94/205.29 (define @t555 () (not @t554)) % 204.94/205.29 (define @t556 () (= @t147 @t184)) % 204.94/205.29 (define @t557 () (not @t556)) % 204.94/205.29 (define @t558 () (not @t531)) % 204.94/205.29 (define @t559 () (tptp.lazy_impl @t147 @t147)) % 204.94/205.29 (define @t560 () (= @t438 @t559)) % 204.94/205.29 (define @t561 () (not @t560)) % 204.94/205.29 (define @t562 () (not @t529)) % 204.94/205.29 (define @t563 () (not @t526)) % 204.94/205.29 (define @t564 () (not @t549)) % 204.94/205.29 (define @t565 () (not @t564)) % 204.94/205.29 (define @t566 () (tptp.lazy_impl @t147 @t453)) % 204.94/205.29 (define @t567 () (tptp.impl @t550 @t147)) % 204.94/205.29 (define @t568 () (tptp.lazy_impl @t147 @t551)) % 204.94/205.29 (define @t569 () (and @t531 @t435 @t490 @t481 @t485 @t496 @t441 @t279 @t284 @t261 @t498 @t454 @t426 @t500 @t469 @t494 @t560 @t529 @t420 @t547 @t539 @t556 @t526 @t554 @t564)) % 204.94/205.29 (define @t570 () (or @t497 @t556)) % 204.94/205.29 (define @t571 () (or (= @t184 tptp.false1) (= @t184 @t147))) % 204.94/205.29 (define @t572 () (tptp.bool @t184)) % 204.94/205.29 (define @t573 () (= @t572 @t571)) % 204.94/205.29 (define @t574 () (@list @t184)) % 204.94/205.29 (define @t575 () (= @t572 @t570)) % 204.94/205.29 (define @t576 () (not @t572)) % 204.94/205.29 (define @t577 () (= @t19 (= tptp.false1 @t40))) % 204.94/205.29 (define @t578 () (= tptp.false @t40)) % 204.94/205.29 (define @t579 () (= @t19 @t578)) % 204.94/205.29 (define @t580 () (= @t552 tptp.false1)) % 204.94/205.29 (define @t581 () (forall @t7 (= @t19 (= @t40 tptp.false1)))) % 204.94/205.29 (define @t582 () (= @t576 @t580)) % 204.94/205.29 (define @t583 () (= tptp.false1 @t552)) % 204.94/205.29 (define @t584 () (= @t583 @t576)) % 204.94/205.29 (define @t585 () (@list @t581)) % 204.94/205.29 (define @t586 () (not @t584)) % 204.94/205.29 (define @t587 () (= @t147 @t476)) % 204.94/205.29 (define @t588 () (or @t483 @t587)) % 204.94/205.29 (define @t589 () (not @t587)) % 204.94/205.29 (define @t590 () (not @t583)) % 204.94/205.29 (define @t591 () (tptp.lazy_impl tptp.false1 @t551)) % 204.94/205.29 (define @t592 () (= @t147 @t591)) % 204.94/205.29 (define @t593 () (not @t592)) % 204.94/205.29 (define @t594 () (and @t531 @t435 @t490 @t481 @t485 @t496 @t441 @t587 @t426 @t261 @t500 @t469 @t494 @t592 @t583 @t554 @t564)) % 204.94/205.29 (define @t595 () (not @t262)) % 204.94/205.29 (define @t596 () (and @t431 @t298 @t483 @t248)) % 204.94/205.29 (define @t597 () (and @t432 @t298)) % 204.94/205.29 (define @t598 () (or @t597 @t596 @t260)) % 204.94/205.29 (define @t599 () (not @t260)) % 204.94/205.29 (define @t600 () (and @t402 @t253)) % 204.94/205.29 (define @t601 () (or @t597 @t596 @t600)) % 204.94/205.29 (define @t602 () (tptp.forallprefers tptp.false1 @t244)) % 204.94/205.29 (define @t603 () (= @t602 @t601)) % 204.94/205.29 (define @t604 () (= @t602 @t598)) % 204.94/205.29 (define @t605 () (forall @t129 (not @t128))) % 204.94/205.29 (define @t606 () (and @t132 @t605)) % 204.94/205.29 (define @t607 () (forall @t102 (not @t606))) % 204.94/205.29 (define @t608 () (not @t607)) % 204.94/205.29 (define @t609 () (not @t605)) % 204.94/205.29 (define @t610 () (@quantifiers_skolemize (forall @t102 (or (not @t132) @t609)) 0)) % 204.94/205.29 (define @t611 () (tptp.f7 @t610)) % 204.94/205.29 (define @t612 () (tptp.phi @t611)) % 204.94/205.29 (define @t613 () (= tptp.false2 @t612)) % 204.94/205.29 (define @t614 () (forall @t129 (not (tptp.forallprefers @t127 @t611)))) % 204.94/205.29 (define @t615 () (not @t614)) % 204.94/205.29 (define @t616 () (not @t613)) % 204.94/205.29 (define @t617 () (or @t616 @t615)) % 204.94/205.29 (define @t618 () (@list @t617)) % 204.94/205.29 (define @t619 () (@list @t610)) % 204.94/205.29 (define @t620 () (tptp.f7 @t244)) % 204.94/205.29 (define @t621 () (= tptp.false1 @t620)) % 204.94/205.29 (define @t622 () (not @t621)) % 204.94/205.29 (define @t623 () (tptp.lazy_impl @t269 @t244)) % 204.94/205.29 (define @t624 () (= @t620 @t623)) % 204.94/205.29 (define @t625 () (not @t624)) % 204.94/205.29 (define @t626 () (= @t147 (tptp.lazy_impl tptp.false1 @t610))) % 204.94/205.29 (define @t627 () (not @t626)) % 204.94/205.29 (define @t628 () (tptp.prop @t610)) % 204.94/205.29 (define @t629 () (= tptp.false1 @t628)) % 204.94/205.29 (define @t630 () (not @t629)) % 204.94/205.29 (define @t631 () (tptp.lazy_impl @t628 @t610)) % 204.94/205.29 (define @t632 () (= @t611 @t631)) % 204.94/205.29 (define @t633 () (not @t632)) % 204.94/205.29 (define @t634 () (tptp.lazy_impl @t147 @t611)) % 204.94/205.29 (define @t635 () (= @t612 @t634)) % 204.94/205.29 (define @t636 () (not @t635)) % 204.94/205.29 (define @t637 () (not @t272)) % 204.94/205.29 (define @t638 () (not @t401)) % 204.94/205.29 (define @t639 () (tptp.impl @t507 @t244)) % 204.94/205.29 (define @t640 () (tptp.lazy_impl @t269 @t639)) % 204.94/205.29 (define @t641 () (tptp.lazy_impl @t269 @t283)) % 204.94/205.29 (define @t642 () (and @t638 @t613 @t260 @t441 @t272 @t279 @t284 @t635 @t632 @t629 @t626 @t454 @t624)) % 204.94/205.29 (define @t643 () (@list @t628)) % 204.94/205.29 (define @t644 () (tptp.f7 @t628)) % 204.94/205.29 (define @t645 () (tptp.forallprefers @t644 @t611)) % 204.94/205.29 (define @t646 () (tptp.prop @t628)) % 204.94/205.29 (define @t647 () (tptp.lazy_impl @t646 @t628)) % 204.94/205.29 (define @t648 () (= @t644 @t647)) % 204.94/205.29 (define @t649 () (not @t648)) % 204.94/205.29 (define @t650 () (= @t147 @t646)) % 204.94/205.29 (define @t651 () (not @t650)) % 204.94/205.29 (define @t652 () (not @t602)) % 204.94/205.29 (define @t653 () (not @t645)) % 204.94/205.29 (define @t654 () (not @t653)) % 204.94/205.29 (define @t655 () (and @t602 @t435 @t490 @t650 @t629 @t648 @t260 @t626 @t632 @t653)) % 204.94/205.29 (define @t656 () (tptp.bool @t628)) % 204.94/205.29 (define @t657 () (= @t656 (= @t646 @t147))) % 204.94/205.29 (define @t658 () (= @t656 @t650)) % 204.94/205.29 (define @t659 () (= @t46 @t67)) % 204.94/205.29 (define @t660 () (tptp.phi @t628)) % 204.94/205.29 (define @t661 () (or @t656 (= @t660 @t631))) % 204.94/205.29 (define @t662 () (forall @t52 (or @t50 @t659))) % 204.94/205.29 (define @t663 () (= @t631 @t660)) % 204.94/205.29 (define @t664 () (or @t656 @t663)) % 204.94/205.29 (define @t665 () (and @t260 @t435 @t441 @t272 @t279 @t284 @t635 @t632 @t629 @t626 @t454 @t624 @t663)) % 204.94/205.29 (define @t666 () (not @t663)) % 204.94/205.29 (define @t667 () (= @t147 @t182)) % 204.94/205.29 (define @t668 () (not @t667)) % 204.94/205.29 (define @t669 () (and @t290 @t260)) % 204.94/205.29 (define @t670 () (not @t235)) % 204.94/205.29 (define @t671 () (not @t670)) % 204.94/205.29 (define @t672 () (and @t670 @t260 @t322)) % 204.94/205.29 (define @t673 () (tptp.bool @t610)) % 204.94/205.29 (define @t674 () (not @t673)) % 204.94/205.29 (define @t675 () (= @t628 tptp.false1)) % 204.94/205.29 (define @t676 () (= @t674 @t675)) % 204.94/205.29 (define @t677 () (= @t629 @t674)) % 204.94/205.29 (define @t678 () (not @t677)) % 204.94/205.29 (define @t679 () (and @t441 @t219 @t554 @t592 @t583)) % 204.94/205.29 (define @t680 () (= @t628 @t147)) % 204.94/205.29 (define @t681 () (= @t673 @t680)) % 204.94/205.29 (define @t682 () (= @t147 @t628)) % 204.94/205.29 (define @t683 () (= @t682 @t673)) % 204.94/205.29 (define @t684 () (or (= @t610 tptp.false1) (= @t610 @t147))) % 204.94/205.29 (define @t685 () (= @t673 @t684)) % 204.94/205.29 (define @t686 () (= @t147 @t610)) % 204.94/205.29 (define @t687 () (= tptp.false1 @t610)) % 204.94/205.29 (define @t688 () (or @t687 @t686)) % 204.94/205.29 (define @t689 () (= @t673 @t688)) % 204.94/205.29 (define @t690 () (= @t147 @t320)) % 204.94/205.29 (define @t691 () (and @t260 @t322 @t354)) % 204.94/205.29 (define @t692 () (= @t147 @t503)) % 204.94/205.29 (define @t693 () (and @t441 @t279 @t284 @t322 @t690)) % 204.94/205.29 (define @t694 () (not @t690)) % 204.94/205.29 (define @t695 () (or @t371 @t690)) % 204.94/205.29 (define @t696 () (or @t358 (= @t320 @t147))) % 204.94/205.29 (define @t697 () (= @t361 @t696)) % 204.94/205.29 (define @t698 () (= @t361 @t695)) % 204.94/205.29 (define @t699 () (not @t698)) % 204.94/205.29 (define @t700 () (not @t695)) % 204.94/205.29 (define @t701 () (not @t318)) % 204.94/205.29 (define @t702 () (not @t326)) % 204.94/205.29 (define @t703 () (forall @t7 (or (and @t21 (= @t1 @t35)) (and @t23 (= tptp.err @t35))))) % 204.94/205.29 (define @t704 () (not @t251)) % 204.94/205.29 (define @t705 () (forall @t62 (= @t147 (tptp.lazy_impl tptp.false1 @t47)))) % 204.94/205.29 (define @t706 () (not @t183)) % 204.94/205.29 (define @t707 () (not @t221)) % 204.94/205.29 (define @t708 () (= tptp.err @t182)) % 204.94/205.29 (define @t709 () (not @t708)) % 204.94/205.29 (define @t710 () (not @t242)) % 204.94/205.29 (define @t711 () (and @t708 @t242)) % 204.94/205.29 (define @t712 () (= @t503 @t185)) % 204.94/205.29 (define @t713 () (and @t260 @t708 @t441 @t279 @t284 @t322 @t219 @t712)) % 204.94/205.29 (define @t714 () (or (= @t182 tptp.false1) (= @t182 @t147))) % 204.94/205.29 (define @t715 () (= @t246 @t714)) % 204.94/205.29 (define @t716 () (@list @t182)) % 204.94/205.29 (define @t717 () (or @t291 @t667)) % 204.94/205.29 (define @t718 () (= @t246 @t717)) % 204.94/205.29 (define @t719 () (not @t718)) % 204.94/205.29 (define @t720 () (not @t717)) % 204.94/205.29 (define @t721 () (and @t260 @t441 @t279 @t284 @t526 @t454 @t560 @t556 @t554 @t539 @t547 @t372)) % 204.94/205.29 (define @t722 () (and @t260 @t441 @t279 @t284 @t526 @t529 @t454 @t560 @t556 @t554 @t539 @t547 @t420)) % 204.94/205.29 (define @t723 () (and @t435 @t441 @t490 @t494 @t469 @t219 @t496 @t481 @t497 @t587 @t485 @t500 @t426)) % 204.94/205.29 (define @t724 () (and @t260 @t435 @t441 @t279 @t284 @t454 @t560 @t494 @t469 @t496 @t481 @t497 @t587 @t485 @t500 @t393)) % 204.94/205.29 (define @t725 () (= tptp.err @t218)) % 204.94/205.29 (define @t726 () (not @t725)) % 204.94/205.29 (define @t727 () (and @t709 @t219)) % 204.94/205.29 (define @t728 () (not @t192)) % 204.94/205.29 (define @t729 () (and @t728 @t725)) % 204.94/205.29 (define @t730 () (not @t729)) % 204.94/205.29 (define @t731 () (= @t185 @t218)) % 204.94/205.29 (define @t732 () (and @t192 @t731)) % 204.94/205.29 (define @t733 () (or @t732 @t729)) % 204.94/205.29 (define @t734 () (not @t732)) % 204.94/205.29 (define @t735 () (not @t712)) % 204.94/205.29 (define @t736 () (not @t731)) % 204.94/205.29 (define @t737 () (not @t692)) % 204.94/205.29 (define @t738 () (and @t290 @t260 @t692 @t219 @t731)) % 204.94/205.29 (define @t739 () (@list @t319)) % 204.94/205.29 (define @t740 () (_ @t156 @t155 @t319 tptp.false1)) % 204.94/205.29 (define @t741 () (tptp.forallprefers @t740 @t467)) % 204.94/205.29 (define @t742 () (tptp.impl @t320 tptp.false2)) % 204.94/205.29 (define @t743 () (= (_ @t156 @t155 @t319 tptp.false2) @t742)) % 204.94/205.29 (define @t744 () (not @t743)) % 204.94/205.29 (define @t745 () (= tptp.false1 @t611)) % 204.94/205.29 (define @t746 () (not @t745)) % 204.94/205.29 (define @t747 () (not @t741)) % 204.94/205.29 (define @t748 () (tptp.lazy_impl @t479 @t508)) % 204.94/205.29 (define @t749 () (and @t531 @t485 @t496 @t260 @t322 @t354 @t435 @t490 @t481 @t745 @t635 @t613 @t743 @t587 @t426 @t500 @t747)) % 204.94/205.29 (define @t750 () (tptp.f7 @t182)) % 204.94/205.29 (define @t751 () (tptp.forallprefers @t750 @t611)) % 204.94/205.29 (define @t752 () (tptp.prop @t182)) % 204.94/205.29 (define @t753 () (tptp.lazy_impl @t752 @t182)) % 204.94/205.29 (define @t754 () (= @t750 @t753)) % 204.94/205.29 (define @t755 () (not @t754)) % 204.94/205.29 (define @t756 () (= @t147 @t611)) % 204.94/205.29 (define @t757 () (not @t756)) % 204.94/205.29 (define @t758 () (not @t751)) % 204.94/205.29 (define @t759 () (and @t531 @t435 @t490 @t481 @t291 @t754 @t756 @t758)) % 204.94/205.29 (define @t760 () (and @t687 @t435 @t632 @t682 @t490 @t496 @t481 @t485)) % 204.94/205.29 (define @t761 () (not @t687)) % 204.94/205.29 (define @t762 () (not @t682)) % 204.94/205.29 (define @t763 () (and @t686 @t441 @t632 @t682 @t454 @t560)) % 204.94/205.29 (define @t764 () (not @t686)) % 204.94/205.29 (define @t765 () (not @t249)) % 204.94/205.29 (define @t766 () (@list false true)) % 204.94/205.29 (define @t767 () (@list @t732)) % 204.94/205.29 (define @t768 () (and @t246 @t219 @t731)) % 204.94/205.29 (define @t769 () (@list false false false)) % 204.94/205.29 (define @t770 () (not @t189)) % 204.94/205.29 (define @t771 () (@list false false false true)) % 204.94/205.29 (define @t772 () (tptp.impl tptp.err @t147)) % 204.94/205.29 (define @t773 () (tptp.phi tptp.err)) % 204.94/205.29 (define @t774 () (or @t240 (= @t772 @t773))) % 204.94/205.29 (define @t775 () (forall @t52 (or @t50 @t49))) % 204.94/205.29 (define @t776 () (= @t773 @t772)) % 204.94/205.29 (define @t777 () (or @t240 @t776)) % 204.94/205.29 (define @t778 () (@list @t775)) % 204.94/205.29 (define @t779 () (= tptp.err @t773)) % 204.94/205.29 (define @t780 () (not @t14)) % 204.94/205.29 (define @t781 () (and @t780 @t779)) % 204.94/205.29 (define @t782 () (not @t781)) % 204.94/205.29 (define @t783 () (and @t14 @t779)) % 204.94/205.29 (define @t784 () (or @t783 @t781)) % 204.94/205.29 (define @t785 () (tptp.impl @t628 @t182)) % 204.94/205.29 (define @t786 () (tptp.impl tptp.err @t785)) % 204.94/205.29 (define @t787 () (or @t240 (= @t786 @t773))) % 204.94/205.29 (define @t788 () (= @t773 @t786)) % 204.94/205.29 (define @t789 () (or @t240 @t788)) % 204.94/205.29 (define @t790 () (= @t249 (= @t269 tptp.false1))) % 204.94/205.29 (define @t791 () (= tptp.false1 @t269)) % 204.94/205.29 (define @t792 () (= @t249 @t791)) % 204.94/205.29 (define @t793 () (not @t792)) % 204.94/205.29 (define @t794 () (not @t791)) % 204.94/205.29 (define @t795 () (and @t435 @t791 @t637 @t629 @t626)) % 204.94/205.29 (define @t796 () (and @t531 @t435 @t490 @t650 @t629 @t648 @t626 @t632 @t653)) % 204.94/205.29 (define @t797 () (and (= @t493 tptp.false1) @t187)) % 204.94/205.29 (define @t798 () (tptp.bool @t493)) % 204.94/205.29 (define @t799 () (not @t798)) % 204.94/205.29 (define @t800 () (tptp.d @t493)) % 204.94/205.29 (define @t801 () (and @t800 @t192 @t799 @t189)) % 204.94/205.29 (define @t802 () (not @t800)) % 204.94/205.29 (define @t803 () (and @t802 @t192)) % 204.94/205.29 (define @t804 () (or @t803 @t801 @t797)) % 204.94/205.29 (define @t805 () (= @t549 @t804)) % 204.94/205.29 (define @t806 () (= tptp.false1 @t493)) % 204.94/205.29 (define @t807 () (and @t806 @t202)) % 204.94/205.29 (define @t808 () (or @t803 @t801 @t807)) % 204.94/205.29 (define @t809 () (= @t549 @t808)) % 204.94/205.29 (define @t810 () (not @t808)) % 204.94/205.29 (define @t811 () (@list @t808)) % 204.94/205.29 (define @t812 () (= tptp.err @t491)) % 204.94/205.29 (define @t813 () (not @t812)) % 204.94/205.29 (define @t814 () (= @t773 (tptp.lazy_impl @t147 tptp.err))) % 204.94/205.29 (define @t815 () (not @t814)) % 204.94/205.29 (define @t816 () (not @t779)) % 204.94/205.29 (define @t817 () (= true false)) % 204.94/205.29 (define @t818 () (and @t242 @t779 @t814 @t481 @t812 @t494 @t798)) % 204.94/205.29 (define @t819 () (= tptp.err @t379)) % 204.94/205.29 (define @t820 () (tptp.impl tptp.err tptp.false1)) % 204.94/205.29 (define @t821 () (and @t291 @t682 @t779 @t496 @t485 @t788 @t819)) % 204.94/205.29 (define @t822 () (not @t819)) % 204.94/205.29 (define @t823 () (or @t745 @t756)) % 204.94/205.29 (define @t824 () (= tptp.err @t467)) % 204.94/205.29 (define @t825 () (and @t779 @t469 @t824)) % 204.94/205.29 (define @t826 () (not @t824)) % 204.94/205.29 (define @t827 () (= tptp.err @t468)) % 204.94/205.29 (define @t828 () (not @t827)) % 204.94/205.29 (define @t829 () (and @t469 @t822)) % 204.94/205.29 (define @t830 () (or @t361 (= @t742 @t321))) % 204.94/205.29 (define @t831 () (= @t321 @t742)) % 204.94/205.29 (define @t832 () (or @t361 @t831)) % 204.94/205.29 (define @t833 () (@list @t262)) % 204.94/205.29 (define @t834 () (= tptp.false1 @t447)) % 204.94/205.29 (define @t835 () (not @t834)) % 204.94/205.29 (define @t836 () (and @t834 @t371 @t354 @t322 @t293)) % 204.94/205.29 (define @t837 () (and @t441 @t690 @t354 @t322 @t599)) % 204.94/205.29 (define @t838 () (@list true false false)) % 204.94/205.29 (define @t839 () (tptp.bool @t740)) % 204.94/205.29 (define @t840 () (not @t839)) % 204.94/205.29 (define @t841 () (not @t831)) % 204.94/205.29 (define @t842 () (and @t613 @t249 @t745 @t435 @t635 @t490 @t322 @t743 @t831)) % 204.94/205.29 (define @t843 () (tptp.d @t467)) % 204.94/205.29 (define @t844 () (not @t843)) % 204.94/205.29 (define @t845 () (and @t844 @t827)) % 204.94/205.29 (define @t846 () (not @t845)) % 204.94/205.29 (define @t847 () (@list @t467)) % 204.94/205.29 (define @t848 () (= @t467 @t468)) % 204.94/205.29 (define @t849 () (and @t843 @t848)) % 204.94/205.29 (define @t850 () (or @t849 @t845)) % 204.94/205.29 (define @t851 () (not @t849)) % 204.94/205.29 (define @t852 () (= @t467 @t147)) % 204.94/205.29 (define @t853 () (and (= @t740 tptp.false1) @t852)) % 204.94/205.29 (define @t854 () (tptp.bool @t467)) % 204.94/205.29 (define @t855 () (tptp.d @t740)) % 204.94/205.29 (define @t856 () (and @t855 @t843 @t840 @t854)) % 204.94/205.29 (define @t857 () (not @t855)) % 204.94/205.29 (define @t858 () (and @t857 @t843)) % 204.94/205.29 (define @t859 () (or @t858 @t856 @t853)) % 204.94/205.29 (define @t860 () (= @t741 @t859)) % 204.94/205.29 (define @t861 () (= @t147 @t467)) % 204.94/205.29 (define @t862 () (or @t858 @t856 (and (= tptp.false1 @t740) @t861))) % 204.94/205.29 (define @t863 () (= @t741 @t862)) % 204.94/205.29 (define @t864 () (not @t862)) % 204.94/205.29 (define @t865 () (@list @t862)) % 204.94/205.29 (define @t866 () (not @t854)) % 204.94/205.29 (define @t867 () (and @t400 @t496 @t485 @t500 @t393)) % 204.94/205.29 (define @t868 () (or (= @t467 tptp.false1) @t852)) % 204.94/205.29 (define @t869 () (= @t854 @t868)) % 204.94/205.29 (define @t870 () (or (= tptp.false1 @t467) @t861)) % 204.94/205.29 (define @t871 () (= @t854 @t870)) % 204.94/205.29 (define @t872 () (and @t587 @t500 @t426)) % 204.94/205.29 (define @t873 () (tptp.phi @t381)) % 204.94/205.29 (define @t874 () (= @t499 @t873)) % 204.94/205.29 (define @t875 () (or @t384 @t874)) % 204.94/205.29 (define @t876 () (= tptp.err @t873)) % 204.94/205.29 (define @t877 () (and @t388 @t876)) % 204.94/205.29 (define @t878 () (not @t877)) % 204.94/205.29 (define @t879 () (= @t381 @t873)) % 204.94/205.29 (define @t880 () (and @t386 @t879)) % 204.94/205.29 (define @t881 () (or @t880 @t877)) % 204.94/205.29 (define @t882 () (not @t880)) % 204.94/205.29 (define @t883 () (= @t873 (tptp.lazy_impl @t147 @t381))) % 204.94/205.29 (define @t884 () (not @t883)) % 204.94/205.29 (define @t885 () (not @t879)) % 204.94/205.29 (define @t886 () (not @t874)) % 204.94/205.29 (define @t887 () (not @t848)) % 204.94/205.29 (define @t888 () (tptp.impl @t476 tptp.false1)) % 204.94/205.29 (define @t889 () (and @t385 @t879 @t874 @t500 @t883 @t481 @t485 @t496 @t587 @t848 @t469 @t494 @t798)) % 204.94/205.29 (define @t890 () (and @t500 @t874 @t386 @t879)) % 204.94/205.29 (define @t891 () (not @t876)) % 204.94/205.29 (define @t892 () (and @t826 @t500 @t874)) % 204.94/205.29 (define @t893 () (tptp.lazy_impl @t147 @t168)) % 204.94/205.29 (define @t894 () (= @t538 @t893)) % 204.94/205.29 (define @t895 () (not @t894)) % 204.94/205.29 (define @t896 () (= tptp.err @t162)) % 204.94/205.29 (define @t897 () (not @t896)) % 204.94/205.29 (define @t898 () (tptp.impl @t162 @t147)) % 204.94/205.29 (define @t899 () (tptp.lazy_impl @t524 @t898)) % 204.94/205.29 (define @t900 () (= @t186 @t899)) % 204.94/205.29 (define @t901 () (not @t900)) % 204.94/205.29 (define @t902 () (not @t776)) % 204.94/205.29 (define @t903 () (tptp.lazy_impl @t752 @t546)) % 204.94/205.29 (define @t904 () (tptp.impl @t903 @t147)) % 204.94/205.29 (define @t905 () (and @t242 @t779 @t814 @t526 @t776 @t896 @t539 @t894 @t667 @t547 @t900 @t190)) % 204.94/205.29 (define @t906 () (= tptp.err @t538)) % 204.94/205.29 (define @t907 () (not @t906)) % 204.94/205.29 (define @t908 () (not @t897)) % 204.94/205.29 (define @t909 () (and @t539 @t897)) % 204.94/205.29 (define @t910 () (tptp.d @t168)) % 204.94/205.29 (define @t911 () (not @t910)) % 204.94/205.29 (define @t912 () (and @t911 @t906)) % 204.94/205.29 (define @t913 () (not @t912)) % 204.94/205.29 (define @t914 () (= @t168 @t538)) % 204.94/205.29 (define @t915 () (and @t910 @t914)) % 204.94/205.29 (define @t916 () (or @t915 @t912)) % 204.94/205.29 (define @t917 () (not @t915)) % 204.94/205.29 (define @t918 () (@list @t915)) % 204.94/205.29 (define @t919 () (tptp.impl tptp.err @t244)) % 204.94/205.29 (define @t920 () (or @t240 (= @t919 @t773))) % 204.94/205.29 (define @t921 () (= @t773 @t919)) % 204.94/205.29 (define @t922 () (or @t240 @t921)) % 204.94/205.29 (define @t923 () (tptp.impl (tptp.impl tptp.err @t919) @t244)) % 204.94/205.29 (define @t924 () (tptp.impl tptp.err tptp.err)) % 204.94/205.29 (define @t925 () (or @t240 (= @t924 @t773))) % 204.94/205.29 (define @t926 () (= @t773 @t924)) % 204.94/205.29 (define @t927 () (or @t240 @t926)) % 204.94/205.29 (define @t928 () (tptp.phi @t244)) % 204.94/205.29 (define @t929 () (= @t506 @t928)) % 204.94/205.29 (define @t930 () (or @t248 @t929)) % 204.94/205.29 (define @t931 () (or @t51 @t56 @t55)) % 204.94/205.29 (define @t932 () (= @t283 @t928)) % 204.94/205.29 (define @t933 () (or @t297 @t248 @t932)) % 204.94/205.29 (define @t934 () (tptp.impl @t182 tptp.err)) % 204.94/205.29 (define @t935 () (or @t247 @t240 (= @t934 @t773))) % 204.94/205.29 (define @t936 () (forall @t52 @t931)) % 204.94/205.29 (define @t937 () (= @t773 @t934)) % 204.94/205.29 (define @t938 () (or @t247 @t240 @t937)) % 204.94/205.29 (define @t939 () (= @t147 (tptp.lazy_impl tptp.false1 @t923))) % 204.94/205.29 (define @t940 () (tptp.impl @t919 @t244)) % 204.94/205.29 (define @t941 () (tptp.lazy_impl tptp.false1 @t919)) % 204.94/205.29 (define @t942 () (and @t667 @t779 @t322 @t328 @t937 @t819 @t929 @t921 @t939 @t932 @t926)) % 204.94/205.29 (define @t943 () (and @t667 @t219 @t731)) % 204.94/205.29 (define @t944 () (not @t806)) % 204.94/205.29 (define @t945 () (and @t435 @t441 @t490 @t494 @t469 @t496 @t481 @t587 @t485 @t500 @t426)) % 204.94/205.29 (define @t946 () (and @t431 @t496 @t485 @t500 @t393)) % 204.94/205.29 (define @t947 () (@list false false false false false)) % 204.94/205.29 (define @t948 () (= tptp.false2 @t147)) % 204.94/205.29 (define @t949 () (= tptp.false2 @t628)) % 204.94/205.29 (define @t950 () (and @t613 @t686 @t441 @t635 @t632 @t682 @t454 @t560)) % 204.94/205.29 (define @t951 () (_ @t156 @t155 @t319 @t147)) % 204.94/205.29 (define @t952 () (tptp.bool @t951)) % 204.94/205.29 (define @t953 () (not @t952)) % 204.94/205.29 (define @t954 () (not @t949)) % 204.94/205.29 (define @t955 () (and @t249 @t949 @t682 @t322 @t743 @t831)) % 204.94/205.29 (define @t956 () (not @t298)) % 204.94/205.29 (define @t957 () (not @t956)) % 204.94/205.29 (define @t958 () (and @t349 @t354 @t322 @t956)) % 204.94/205.29 (define @t959 () (@list false false false false true)) % 204.94/205.29 (define @t960 () (and @t14 @t328 @t322 @t956)) % 204.94/205.29 (define @t961 () (tptp.d @t951)) % 204.94/205.29 (define @t962 () (and @t949 @t682 @t298 @t322 @t743 @t831)) % 204.94/205.29 (define @t963 () (= @t147 @t162)) % 204.94/205.29 (define @t964 () (not @t963)) % 204.94/205.29 (define @t965 () (and @t670 @t539 @t963)) % 204.94/205.29 (define @t966 () (and (= @t951 tptp.false1) (= @t168 @t147))) % 204.94/205.29 (define @t967 () (tptp.bool @t168)) % 204.94/205.29 (define @t968 () (and @t961 @t910 @t953 @t967)) % 204.94/205.29 (define @t969 () (not @t961)) % 204.94/205.29 (define @t970 () (and @t969 @t910)) % 204.94/205.29 (define @t971 () (or @t970 @t968 @t966)) % 204.94/205.29 (define @t972 () (tptp.forallprefers @t951 @t168)) % 204.94/205.29 (define @t973 () (= @t972 @t971)) % 204.94/205.29 (define @t974 () (= @t147 @t168)) % 204.94/205.29 (define @t975 () (or @t970 @t968 (and (= tptp.false1 @t951) @t974))) % 204.94/205.29 (define @t976 () (= @t972 @t975)) % 204.94/205.29 (define @t977 () (not @t975)) % 204.94/205.29 (define @t978 () (not @t967)) % 204.94/205.29 (define @t979 () (and @t296 @t539 @t963 @t914)) % 204.94/205.29 (define @t980 () (not @t914)) % 204.94/205.29 (define @t981 () (not @t964)) % 204.94/205.29 (define @t982 () (= @t162 @t166)) % 204.94/205.29 (define @t983 () (and @t441 @t372 @t982 @t964)) % 204.94/205.29 (define @t984 () (and @t441 @t974 @t914 @t539 @t964)) % 204.94/205.29 (define @t985 () (tptp.phi @t166)) % 204.94/205.29 (define @t986 () (= @t546 @t985)) % 204.94/205.29 (define @t987 () (or @t362 @t986)) % 204.94/205.29 (define @t988 () (= tptp.err @t985)) % 204.94/205.29 (define @t989 () (not @t988)) % 204.94/205.29 (define @t990 () (not @t986)) % 204.94/205.29 (define @t991 () (and @t539 @t547 @t897 @t986 @t914)) % 204.94/205.29 (define @t992 () (and @t366 @t988)) % 204.94/205.29 (define @t993 () (not @t992)) % 204.94/205.29 (define @t994 () (not @t982)) % 204.94/205.29 (define @t995 () (and @t978 @t914 @t894 @t526 @t547 @t982 @t539 @t667 @t900 @t190)) % 204.94/205.29 (define @t996 () (= @t166 @t985)) % 204.94/205.29 (define @t997 () (not @t996)) % 204.94/205.29 (define @t998 () (= @t985 @t166)) % 204.94/205.29 (define @t999 () (and @t539 @t547 @t986 @t914 @t994)) % 204.94/205.29 (define @t1000 () (and @t364 @t996)) % 204.94/205.29 (define @t1001 () (not @t1000)) % 204.94/205.29 (define @t1002 () (or @t1000 @t992)) % 204.94/205.29 (assume @p1 @t8) % 204.94/205.29 (assume @p2 (and @t13 @t12 @t10)) % 204.94/205.29 (assume @p3 (and @t16 @t15 @t14)) % 204.94/205.29 (assume @p4 @t29) % 204.94/205.29 (assume @p5 @t34) % 204.94/205.29 (assume @p6 @t39) % 204.94/205.29 (assume @p7 @t42) % 204.94/205.29 (assume @p8 @t44) % 204.94/205.29 (assume @p9 @t53) % 204.94/205.29 (assume @p10 @t59) % 204.94/205.29 (assume @p11 @t63) % 204.94/205.29 (assume @p12 @t66) % 204.94/205.29 (assume @p13 @t69) % 204.94/205.29 (assume @p14 @t71) % 204.94/205.29 (assume @p15 @t73) % 204.94/205.29 (assume @p16 (forall @t52 (=> @t51 (= @t74 @t46)))) % 204.94/205.29 (assume @p17 (forall @t52 (=> @t58 (= @t74 @t54)))) % 204.94/205.29 (assume @p18 (forall @t62 (=> @t56 (= (tptp.and1 tptp.false @t47) tptp.false)))) % 204.94/205.29 (assume @p19 (forall @t62 (=> @t56 (= (tptp.and1 tptp.true @t47) @t47)))) % 204.94/205.29 (assume @p20 (forall @t81 (= @t80 (tptp.lazy_impl @t79 (tptp.impl (tptp.impl @t78 @t77) @t75))))) % 204.94/205.29 (assume @p21 (forall @t85 (exists @t84 (and (= (tptp.and2 @t78 @t76) (tptp.phi @t80)) (not (exists @t83 (tptp.forallprefers (tptp.f1 @t78 @t76 @t82) @t80))))))) % 204.94/205.29 (assume @p22 (forall @t52 (=> @t51 (= (tptp.lazy_and1 @t45 @t47) @t46)))) % 204.94/205.29 (assume @p23 (forall @t62 (= (tptp.lazy_and1 tptp.false @t47) tptp.false))) % 204.94/205.29 (assume @p24 (forall @t62 (= (tptp.lazy_and1 tptp.true @t47) @t54))) % 204.94/205.29 (assume @p25 (forall @t81 (= @t86 (tptp.lazy_impl @t79 (tptp.impl (tptp.lazy_impl @t78 @t77) @t75))))) % 204.94/205.29 (assume @p26 (forall @t85 (exists @t84 (and (= (tptp.lazy_and2 @t78 @t76) (tptp.phi @t86)) (not (exists @t83 (tptp.forallprefers (tptp.f2 @t78 @t76 @t82) @t86))))))) % 204.94/205.29 (assume @p27 (forall @t52 (=> @t51 (= @t87 @t46)))) % 204.94/205.29 (assume @p28 (forall @t52 (=> @t58 (= @t87 @t54)))) % 204.94/205.29 (assume @p29 (forall @t62 (=> @t56 (= (tptp.or1 tptp.true @t47) tptp.true)))) % 204.94/205.29 (assume @p30 @t90) % 204.94/205.29 (assume @p31 (forall @t81 (= @t91 (tptp.lazy_impl @t79 (tptp.impl (tptp.impl @t78 @t75) (tptp.impl @t77 @t75)))))) % 204.94/205.29 (assume @p32 (forall @t85 (exists @t84 (and (= (tptp.or2 @t78 @t76) (tptp.phi @t91)) (not (exists @t83 (tptp.forallprefers (tptp.f3 @t78 @t76 @t82) @t91))))))) % 204.94/205.29 (assume @p33 @t103) % 204.94/205.29 (assume @p34 @t105) % 204.94/205.29 (assume @p35 @t114) % 204.94/205.29 (assume @p36 @t116) % 204.94/205.29 (assume @p37 @t124) % 204.94/205.29 (assume @p38 (= tptp.false1 tptp.false)) % 204.94/205.29 (assume @p39 (forall @t102 (= @t125 (tptp.lazy_impl (tptp.prop @t78) @t78)))) % 204.94/205.29 (assume @p40 @t134) % 204.94/205.29 (assume @p41 @t138) % 204.94/205.29 (assume @p42 (= @t139 tptp.true)) % 204.94/205.29 (assume @p43 (= @t140 tptp.false)) % 204.94/205.29 (assume @p44 (forall @t102 (= (tptp.not2 @t78) (tptp.impl @t78 tptp.false2)))) % 204.94/205.29 (assume @p45 @t146) % 204.94/205.29 (assume @p46 true) % 204.94/205.29 (step @p47 :rule eq-symm :args (@t35 tptp.err)) % 204.94/205.29 (step @p48 :rule refl :args (@t23)) % 204.94/205.29 (step @p49 :rule nary_cong :premises (@p48 @p47) :args (@t36)) % 204.94/205.29 (step @p50 :rule eq-symm :args (@t35 @t1)) % 204.94/205.29 (step @p51 :rule refl :args (@t21)) % 204.94/205.29 (step @p52 :rule nary_cong :premises (@p51 @p50) :args (@t37)) % 204.94/205.29 (step @p53 :rule nary_cong :premises (@p52 @p49) :args (@t38)) % 204.94/205.29 (step @p54 :rule cong :premises (@p53) :args (@t39)) % 204.94/205.29 (step @p55 :rule eq_resolve :premises (@p6 @p54)) % 204.94/205.29 (step @p56 :rule instantiate :premises (@p55) :args (@t167)) % 204.94/205.29 (step @p57 :rule instantiate :premises (@p55) :args (@t169)) % 204.94/205.29 (step @p58 :rule eq-symm :args (@t147 @t17)) % 204.94/205.29 (step @p59 :rule eq-symm :args (tptp.false1 @t1)) % 204.94/205.29 (step @p60 :rule nary_cong :premises (@p59 @p58) :args (@t171)) % 204.94/205.29 (step @p61 :rule refl :args (@t22)) % 204.94/205.29 (step @p62 :rule refl :args (@t24)) % 204.94/205.29 (step @p63 :rule nary_cong :premises (@p62 @p61 @p60) :args (@t172)) % 204.94/205.29 (step @p64 :rule refl :args (@t26)) % 204.94/205.29 (step @p65 :rule cong :premises (@p64 @p63) :args (@t173)) % 204.94/205.29 (step @p66 :rule cong :premises (@p65) :args ((forall @t28 @t173))) % 204.94/205.29 (step @p67 :rule refl :args (@t17)) % 204.94/205.29 (step @p68 :rule symm :premises (@p38)) % 204.94/205.29 (step @p69 :rule cong :premises (@p68) :args (@t139)) % 204.94/205.29 (step @p70 :rule refl :args (tptp.true)) % 204.94/205.29 (step @p71 :rule cong :premises (@p70 @p69) :args ((= tptp.true @t139))) % 204.94/205.29 (step @p72 :rule symm :premises (@p42)) % 204.94/205.29 (step @p73 :rule eq_resolve :premises (@p72 @p71)) % 204.94/205.29 (step @p74 :rule cong :premises (@p73 @p67) :args (@t174)) % 204.94/205.29 (step @p75 :rule refl :args (@t1)) % 204.94/205.29 (step @p76 :rule cong :premises (@p68 @p75) :args (@t175)) % 204.94/205.29 (step @p77 :rule nary_cong :premises (@p76 @p74) :args (@t176)) % 204.94/205.29 (step @p78 :rule nary_cong :premises (@p62 @p61 @p77) :args (@t177)) % 204.94/205.29 (step @p79 :rule cong :premises (@p64 @p78) :args (@t178)) % 204.94/205.29 (step @p80 :rule cong :premises (@p79) :args ((forall @t28 @t178))) % 204.94/205.29 (step @p81 :rule trans :premises (@p80 @p66)) % 204.94/205.29 (step @p82 :rule eq-symm :args (@t17 tptp.true)) % 204.94/205.29 (step @p83 :rule eq-symm :args (@t1 tptp.false)) % 204.94/205.29 (step @p84 :rule nary_cong :premises (@p83 @p82) :args (@t18)) % 204.94/205.29 (step @p85 :rule nary_cong :premises (@p62 @p61 @p84) :args (@t25)) % 204.94/205.29 (step @p86 :rule cong :premises (@p64 @p85) :args (@t27)) % 204.94/205.29 (step @p87 :rule cong :premises (@p86) :args (@t29)) % 204.94/205.29 (step @p88 :rule trans :premises (@p87 @p81)) % 204.94/205.29 (step @p89 :rule eq_resolve :premises (@p4 @p88)) % 204.94/205.29 (step @p90 :rule eq-symm :args (@t185 @t147)) % 204.94/205.29 (step @p91 :rule eq-symm :args (@t186 tptp.false1)) % 204.94/205.29 (step @p92 :rule nary_cong :premises (@p91 @p90) :args (@t188)) % 204.94/205.29 (step @p93 :rule refl :args (@t194)) % 204.94/205.29 (step @p94 :rule refl :args (@t196)) % 204.94/205.29 (step @p95 :rule nary_cong :premises (@p94 @p93 @p92) :args (@t197)) % 204.94/205.29 (step @p96 :rule refl :args (@t198)) % 204.94/205.29 (step @p97 :rule cong :premises (@p96 @p95) :args (@t199)) % 204.94/205.29 (step @p98 :rule refl :args (@t201)) % 204.94/205.29 (step @p99 :rule cong :premises (@p98 @p97) :args ((=> @t201 @t199))) % 204.94/205.29 (assume-push @p4631 @t201) % 204.94/205.29 (step @p101 :rule instantiate :premises (@p89) :args ((@list @t186 @t185))) % 204.94/205.29 (step-pop @p4632 :rule scope :premises (@p101)) % 204.94/205.29 (step @p102 :rule process_scope :premises (@p4632) :args (@t199)) % 204.94/205.29 (step @p104 :rule eq_resolve :premises (@p102 @p99)) % 204.94/205.29 (step @p105 :rule implies_elim :premises (@p104)) % 204.94/205.29 (step @p106 :rule chain_m_resolution :premises (@p105 @p89) :args (@t204 @t205 @t206)) % 204.94/205.29 ; WARNING: add trust step for TRUST % 204.94/205.29 ; trust TRUST PREPROCESS_SORT_INFER % 204.94/205.29 (step @p107 :rule trust :premises () :args ((= (forall @t102 (not (forall @t84 (or (not @t121) @t211)))) @t209))) % 204.94/205.29 (step @p108 :rule bool-and-de-morgan :args (@t121 @t210 true)) % 204.94/205.29 (step @p109 :rule cong :premises (@p108) :args (@t213)) % 204.94/205.29 (step @p110 :rule cong :premises (@p109) :args (@t214)) % 204.94/205.29 (step @p111 :rule exists-elim :args ((= (exists @t84 @t212) @t214))) % 204.94/205.29 (step @p112 :rule trans :premises (@p111 @p110)) % 204.94/205.29 (step @p113 :rule bool-double-not-elim :args (@t210)) % 204.94/205.29 (step @p114 :rule exists-elim :args ((= @t118 @t211))) % 204.94/205.29 (step @p115 :rule cong :premises (@p114) :args (@t119)) % 204.94/205.29 (step @p116 :rule trans :premises (@p115 @p113)) % 204.94/205.29 (step @p117 :rule refl :args (@t121)) % 204.94/205.29 (step @p118 :rule nary_cong :premises (@p117 @p116) :args (@t122)) % 204.94/205.29 (step @p119 :rule cong :premises (@p118) :args (@t123)) % 204.94/205.29 (step @p120 :rule trans :premises (@p119 @p112)) % 204.94/205.29 (step @p121 :rule cong :premises (@p120) :args (@t124)) % 204.94/205.29 (step @p122 :rule trans :premises (@p121 @p107)) % 204.94/205.29 (step @p123 :rule eq_resolve :premises (@p37 @p122)) % 204.94/205.29 (step @p124 :rule instantiate :premises (@p123) :args (@t215)) % 204.94/205.29 (step @p125 :rule skolemize :premises (@p124)) % 204.94/205.29 (step @p126 :rule bool-double-not-elim :args (@t216)) % 204.94/205.29 (step @p127 :rule refl :args (@t221)) % 204.94/205.29 (step @p128 :rule nary_cong :premises (@p127 @p126) :args ((or @t221 (not @t217)))) % 204.94/205.29 (step @p129 :rule cnf_or_neg :args (@t221 1)) % 204.94/205.29 (step @p130 :rule eq_resolve :premises (@p129 @p128)) % 204.94/205.29 (step @p131 :rule reordering :premises (@p130) :args ((or @t216 @t221))) % 204.94/205.29 (step @p132 :rule chain_m_resolution :premises (@p131 @p125) :args (@t216 @t222 @t223)) % 204.94/205.29 (step @p133 :rule instantiate :premises (@p132) :args (@t224)) % 204.94/205.29 (step @p134 :rule cnf_equiv_pos2 :args (@t204)) % 204.94/205.29 (step @p135 :rule reordering :premises (@p134) :args ((or @t198 @t225 (not @t204)))) % 204.94/205.29 (step @p136 :rule chain_m_resolution :premises (@p135 @p133 @p106) :args (@t225 @t226 (@list @t198 @t204))) % 204.94/205.29 (step @p137 :rule cnf_or_neg :args (@t203 1)) % 204.94/205.29 (step @p138 :rule chain_m_resolution :premises (@p137 @p136) :args ((not @t194) @t222 @t227)) % 204.94/205.29 (step @p139 :rule cnf_or_neg :args (@t203 0)) % 204.94/205.29 (step @p140 :rule chain_m_resolution :premises (@p139 @p136) :args ((not @t196) @t222 @t227)) % 204.94/205.29 (step @p141 :rule instantiate :premises (@p55) :args ((@list @t185))) % 204.94/205.29 (step @p142 :rule bool-double-not-elim :args (@t219)) % 204.94/205.29 (step @p143 :rule nary_cong :premises (@p127 @p142) :args ((or @t221 (not @t220)))) % 204.94/205.29 (step @p144 :rule cnf_or_neg :args (@t221 0)) % 204.94/205.29 (step @p145 :rule eq_resolve :premises (@p144 @p143)) % 204.94/205.29 (step @p146 :rule reordering :premises (@p145) :args ((or @t219 @t221))) % 204.94/205.29 (step @p147 :rule chain_m_resolution :premises (@p146 @p125) :args (@t219 @t222 @t223)) % 204.94/205.29 (step @p148 :rule eq-symm :args (@t147 @t1)) % 204.94/205.29 (step @p149 :rule nary_cong :premises (@p59 @p148) :args (@t229)) % 204.94/205.29 (step @p150 :rule refl :args (@t5)) % 204.94/205.29 (step @p151 :rule cong :premises (@p150 @p149) :args (@t230)) % 204.94/205.29 (step @p152 :rule cong :premises (@p151) :args ((forall @t7 @t230))) % 204.94/205.29 (step @p153 :rule cong :premises (@p73 @p75) :args (@t231)) % 204.94/205.29 (step @p154 :rule nary_cong :premises (@p76 @p153) :args (@t232)) % 204.94/205.29 (step @p155 :rule cong :premises (@p150 @p154) :args (@t233)) % 204.94/205.29 (step @p156 :rule cong :premises (@p155) :args ((forall @t7 @t233))) % 204.94/205.29 (step @p157 :rule trans :premises (@p156 @p152)) % 204.94/205.29 (step @p158 :rule eq-symm :args (@t1 tptp.true)) % 204.94/205.29 (step @p159 :rule nary_cong :premises (@p83 @p158) :args (@t4)) % 204.94/205.29 (step @p160 :rule cong :premises (@p150 @p159) :args (@t6)) % 204.94/205.29 (step @p161 :rule cong :premises (@p160) :args (@t8)) % 204.94/205.29 (step @p162 :rule trans :premises (@p161 @p157)) % 204.94/205.29 (step @p163 :rule eq_resolve :premises (@p1 @p162)) % 204.94/205.29 (step @p164 :rule instantiate :premises (@p163) :args (@t234)) % 204.94/205.29 (step @p165 :rule eq-symm :args (tptp.false1 tptp.err)) % 204.94/205.29 (step @p166 :rule cong :premises (@p165) :args ((not (= tptp.false1 tptp.err)))) % 204.94/205.29 (step @p167 :rule refl :args (tptp.err)) % 204.94/205.29 (step @p168 :rule cong :premises (@p68 @p167) :args (@t9)) % 204.94/205.29 (step @p169 :rule cong :premises (@p168) :args (@t10)) % 204.94/205.29 (step @p170 :rule trans :premises (@p169 @p166)) % 204.94/205.29 (step @p171 :rule and_elim :premises (@p2) :args (2)) % 204.94/205.29 (step @p172 :rule eq_resolve :premises (@p171 @p170)) % 204.94/205.29 (step @p173 :rule eq-symm :args (@t147 tptp.err)) % 204.94/205.29 (step @p174 :rule cong :premises (@p173) :args ((not (= @t147 tptp.err)))) % 204.94/205.29 (step @p175 :rule cong :premises (@p73 @p167) :args (@t11)) % 204.94/205.29 (step @p176 :rule cong :premises (@p175) :args (@t12)) % 204.94/205.29 (step @p177 :rule trans :premises (@p176 @p174)) % 204.94/205.29 (step @p178 :rule and_elim :premises (@p2) :args (1)) % 204.94/205.29 (step @p179 :rule eq_resolve :premises (@p178 @p177)) % 204.94/205.29 (step @p180 :rule cnf_or_pos :args (@t237)) % 204.94/205.29 (step @p181 :rule reordering :premises (@p180) :args ((or @t235 @t236 @t238))) % 204.94/205.29 (step @p182 :rule chain_m_resolution :premises (@p181 @p179 @p172) :args (@t238 @t239 (@list @t235 @t236))) % 204.94/205.29 (step @p183 :rule cnf_equiv_pos1 :args (@t241)) % 204.94/205.29 (step @p184 :rule reordering :premises (@p183) :args ((or @t242 @t237 (not @t241)))) % 204.94/205.29 (step @p185 :rule chain_m_resolution :premises (@p184 @p182 @p164) :args (@t242 @t226 (@list @t237 @t241))) % 204.94/205.29 ; trust TRUST PREPROCESS_SORT_INFER % 204.94/205.29 (step @p186 :rule trust :premises () :args ((= (not (forall @t102 (or (and (not @t143) (not @t142)) @t141))) @t243))) % 204.94/205.29 (step @p187 :rule refl :args (@t141)) % 204.94/205.29 (step @p188 :rule bool-or-de-morgan :args (@t143 @t142 false)) % 204.94/205.29 (step @p189 :rule nary_cong :premises (@p188 @p187) :args ((or (not @t144) @t141))) % 204.94/205.29 (step @p190 :rule bool-impl-elim :args (@t144 @t141)) % 204.94/205.29 (step @p191 :rule trans :premises (@p190 @p189)) % 204.94/205.29 (step @p192 :rule cong :premises (@p191) :args (@t145)) % 204.94/205.29 (step @p193 :rule cong :premises (@p192) :args (@t146)) % 204.94/205.29 (step @p194 :rule trans :premises (@p193 @p186)) % 204.94/205.29 (step @p195 :rule eq_resolve :premises (@p45 @p194)) % 204.94/205.29 (step @p196 :rule skolemize :premises (@p195)) % 204.94/205.29 (step @p197 :rule cnf_or_neg :args (@t251 0)) % 204.94/205.29 (step @p198 :rule chain_m_resolution :premises (@p197 @p196) :args ((not @t250) @t222 @t252)) % 204.94/205.29 (step @p199 :rule eq-symm :args (@t244 @t147)) % 204.94/205.29 (step @p200 :rule eq-symm :args (@t244 tptp.false1)) % 204.94/205.29 (step @p201 :rule nary_cong :premises (@p200 @p199) :args (@t255)) % 204.94/205.29 (step @p202 :rule refl :args (@t248)) % 204.94/205.29 (step @p203 :rule cong :premises (@p202 @p201) :args (@t256)) % 204.94/205.29 (step @p204 :rule refl :args (@t258)) % 204.94/205.29 (step @p205 :rule cong :premises (@p204 @p203) :args ((=> @t258 @t256))) % 204.94/205.29 (assume-push @p4633 @t258) % 204.94/205.29 (step @p207 :rule instantiate :premises (@p163) :args (@t259)) % 204.94/205.29 (step-pop @p4634 :rule scope :premises (@p207)) % 204.94/205.29 (step @p208 :rule process_scope :premises (@p4634) :args (@t256)) % 204.94/205.29 (step @p210 :rule eq_resolve :premises (@p208 @p205)) % 204.94/205.29 (step @p211 :rule implies_elim :premises (@p210)) % 204.94/205.29 (step @p212 :rule chain_m_resolution :premises (@p211 @p163) :args (@t263 @t205 @t264)) % 204.94/205.29 (step @p213 :rule cnf_equiv_pos1 :args (@t263)) % 204.94/205.29 (step @p214 :rule reordering :premises (@p213) :args ((or @t249 @t262 @t265))) % 204.94/205.29 (step @p215 :rule eq-symm :args (@t147 @t40)) % 204.94/205.29 (step @p216 :rule cong :premises (@p150 @p215) :args (@t266)) % 204.94/205.29 (step @p217 :rule cong :premises (@p216) :args ((forall @t7 @t266))) % 204.94/205.29 (step @p218 :rule refl :args (@t40)) % 204.94/205.29 (step @p219 :rule cong :premises (@p73 @p218) :args (@t267)) % 204.94/205.29 (step @p220 :rule cong :premises (@p150 @p219) :args (@t268)) % 204.94/205.29 (step @p221 :rule cong :premises (@p220) :args ((forall @t7 @t268))) % 204.94/205.29 (step @p222 :rule trans :premises (@p221 @p217)) % 204.94/205.29 (step @p223 :rule eq-symm :args (@t40 tptp.true)) % 204.94/205.29 (step @p224 :rule cong :premises (@p150 @p223) :args ((= @t5 @t41))) % 204.94/205.29 (step @p225 :rule eq-symm :args (@t41 @t5)) % 204.94/205.29 (step @p226 :rule trans :premises (@p225 @p224)) % 204.94/205.29 (step @p227 :rule cong :premises (@p226) :args (@t42)) % 204.94/205.29 (step @p228 :rule trans :premises (@p227 @p222)) % 204.94/205.29 (step @p229 :rule eq_resolve :premises (@p7 @p228)) % 204.94/205.29 (step @p230 :rule eq-symm :args (@t269 @t147)) % 204.94/205.29 (step @p231 :rule cong :premises (@p202 @p230) :args (@t270)) % 204.94/205.29 (step @p232 :rule refl :args (@t271)) % 204.94/205.29 (step @p233 :rule cong :premises (@p232 @p231) :args ((=> @t271 @t270))) % 204.94/205.29 (assume-push @p4635 @t271) % 204.94/205.29 (step @p235 :rule instantiate :premises (@p229) :args (@t259)) % 204.94/205.29 (step-pop @p4636 :rule scope :premises (@p235)) % 204.94/205.29 (step @p236 :rule process_scope :premises (@p4636) :args (@t270)) % 204.94/205.29 (step @p238 :rule eq_resolve :premises (@p236 @p233)) % 204.94/205.29 (step @p239 :rule implies_elim :premises (@p238)) % 204.94/205.29 (step @p240 :rule chain_m_resolution :premises (@p239 @p229) :args (@t273 @t205 @t274)) % 204.94/205.29 (step @p241 :rule cnf_equiv_pos1 :args (@t273)) % 204.94/205.29 (step @p242 :rule reordering :premises (@p241) :args ((or @t249 @t272 @t275))) % 204.94/205.29 (step @p243 :rule refl :args (@t47)) % 204.94/205.29 (step @p244 :rule cong :premises (@p68 @p243) :args (@t60)) % 204.94/205.29 (step @p245 :rule cong :premises (@p73 @p244) :args (@t276)) % 204.94/205.29 (step @p246 :rule refl :args (@t57)) % 204.94/205.29 (step @p247 :rule nary_cong :premises (@p246 @p245) :args (@t277)) % 204.94/205.29 (step @p248 :rule cong :premises (@p247) :args ((forall @t62 @t277))) % 204.94/205.29 (step @p249 :rule bool-impl-elim :args (@t56 @t276)) % 204.94/205.29 (step @p250 :rule cong :premises (@p249) :args ((forall @t62 (=> @t56 @t276)))) % 204.94/205.29 (step @p251 :rule eq-symm :args (@t60 tptp.true)) % 204.94/205.29 (step @p252 :rule refl :args (@t56)) % 204.94/205.29 (step @p253 :rule cong :premises (@p252 @p251) :args (@t61)) % 204.94/205.29 (step @p254 :rule cong :premises (@p253) :args (@t63)) % 204.94/205.29 (step @p255 :rule trans :premises (@p254 @p250)) % 204.94/205.29 (step @p256 :rule trans :premises (@p255 @p248)) % 204.94/205.29 (step @p257 :rule eq_resolve :premises (@p11 @p256)) % 204.94/205.29 (step @p258 :rule instantiate :premises (@p257) :args (@t259)) % 204.94/205.29 (step @p259 :rule cnf_or_pos :args (@t280)) % 204.94/205.29 (step @p260 :rule reordering :premises (@p259) :args ((or @t249 @t279 (not @t280)))) % 204.94/205.29 (step @p261 :rule cong :premises (@p73 @p243) :args (@t64)) % 204.94/205.29 (step @p262 :rule cong :premises (@p243 @p261) :args (@t281)) % 204.94/205.29 (step @p263 :rule nary_cong :premises (@p246 @p262) :args (@t282)) % 204.94/205.29 (step @p264 :rule cong :premises (@p263) :args ((forall @t62 @t282))) % 204.94/205.29 (step @p265 :rule bool-impl-elim :args (@t56 @t281)) % 204.94/205.29 (step @p266 :rule cong :premises (@p265) :args ((forall @t62 (=> @t56 @t281)))) % 204.94/205.29 (step @p267 :rule eq-symm :args (@t64 @t47)) % 204.94/205.29 (step @p268 :rule cong :premises (@p252 @p267) :args (@t65)) % 204.94/205.29 (step @p269 :rule cong :premises (@p268) :args (@t66)) % 204.94/205.29 (step @p270 :rule trans :premises (@p269 @p266)) % 204.94/205.29 (step @p271 :rule trans :premises (@p270 @p264)) % 204.94/205.29 (step @p272 :rule eq_resolve :premises (@p12 @p271)) % 204.94/205.29 (step @p273 :rule instantiate :premises (@p272) :args (@t259)) % 204.94/205.29 (step @p274 :rule cnf_or_pos :args (@t285)) % 204.94/205.29 (step @p275 :rule reordering :premises (@p274) :args ((or @t249 @t284 (not @t285)))) % 204.94/205.29 (step @p276 :rule cong :premises (@p68 @p243) :args (@t88)) % 204.94/205.29 (step @p277 :rule cong :premises (@p243 @p276) :args (@t286)) % 204.94/205.29 (step @p278 :rule nary_cong :premises (@p246 @p277) :args (@t287)) % 204.94/205.29 (step @p279 :rule cong :premises (@p278) :args ((forall @t62 @t287))) % 204.94/205.29 (step @p280 :rule bool-impl-elim :args (@t56 @t286)) % 204.94/205.29 (step @p281 :rule cong :premises (@p280) :args ((forall @t62 (=> @t56 @t286)))) % 204.94/205.29 (step @p282 :rule eq-symm :args (@t88 @t47)) % 204.94/205.29 (step @p283 :rule cong :premises (@p252 @p282) :args (@t89)) % 204.94/205.29 (step @p284 :rule cong :premises (@p283) :args (@t90)) % 204.94/205.29 (step @p285 :rule trans :premises (@p284 @p281)) % 204.94/205.29 (step @p286 :rule trans :premises (@p285 @p279)) % 204.94/205.29 (step @p287 :rule eq_resolve :premises (@p30 @p286)) % 204.94/205.29 (step @p288 :rule instantiate :premises (@p287) :args (@t259)) % 204.94/205.29 (step @p289 :rule 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204.94/205.29 (step @p319 :rule reordering :premises (@p318) :args ((or @t293 @t303))) % 204.94/205.29 ; trust TRUST PREPROCESS_SORT_INFER % 204.94/205.29 (step @p320 :rule trust :premises () :args ((= (forall @t102 (not (forall @t7 (or (not @t99) @t312)))) @t310))) % 204.94/205.29 (step @p321 :rule bool-and-de-morgan :args (@t99 @t311 true)) % 204.94/205.29 (step @p322 :rule cong :premises (@p321) :args (@t314)) % 204.94/205.29 (step @p323 :rule cong :premises (@p322) :args (@t315)) % 204.94/205.29 (step @p324 :rule exists-elim :args ((= (exists @t7 @t313) @t315))) % 204.94/205.29 (step @p325 :rule trans :premises (@p324 @p323)) % 204.94/205.29 (step @p326 :rule bool-double-not-elim :args (@t311)) % 204.94/205.29 (step @p327 :rule exists-elim :args ((= @t96 @t312))) % 204.94/205.29 (step @p328 :rule cong :premises (@p327) :args (@t97)) % 204.94/205.29 (step @p329 :rule trans :premises (@p328 @p326)) % 204.94/205.29 (step @p330 :rule refl :args (@t99)) % 204.94/205.29 (step @p331 :rule 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(step @p404 :rule cong :premises (@p403) :args (@t34)) % 204.94/205.29 (step @p405 :rule trans :premises (@p404 @p399)) % 204.94/205.29 (step @p406 :rule eq_resolve :premises (@p5 @p405)) % 204.94/205.29 (step @p407 :rule aci_norm :args ((= (and true @t261) @t261))) % 204.94/205.29 (step @p408 :rule eq-refl :args (@t147)) % 204.94/205.29 (step @p409 :rule nary_cong :premises (@p408 @p200) :args (@t341)) % 204.94/205.29 (step @p410 :rule trans :premises (@p409 @p407)) % 204.94/205.29 (step @p411 :rule refl :args (@t300)) % 204.94/205.29 (step @p412 :rule refl :args (@t302)) % 204.94/205.29 (step @p413 :rule nary_cong :premises (@p412 @p411 @p410) :args (@t342)) % 204.94/205.29 (step @p414 :rule refl :args (@t343)) % 204.94/205.29 (step @p415 :rule cong :premises (@p414 @p413) :args (@t344)) % 204.94/205.29 (step @p416 :rule refl :args (@t345)) % 204.94/205.29 (step @p417 :rule cong :premises (@p416 @p415) :args ((=> @t345 @t344))) % 204.94/205.29 (assume-push @p4661 @t345) % 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@t345) % 204.94/205.29 (step @p446 :rule instantiate :premises (@p406) :args ((@list @t166 @t320))) % 204.94/205.29 (step-pop @p4664 :rule scope :premises (@p446)) % 204.94/205.29 (step @p447 :rule process_scope :premises (@p4664) :args (@t370)) % 204.94/205.29 (step @p449 :rule eq_resolve :premises (@p447 @p444)) % 204.94/205.29 (step @p450 :rule implies_elim :premises (@p449)) % 204.94/205.29 (step @p451 :rule chain_m_resolution :premises (@p450 @p406) :args (@t374 @t205 @t348)) % 204.94/205.29 (step @p452 :rule bool-double-not-elim :args (@t323)) % 204.94/205.29 (step @p453 :rule nary_cong :premises (@p340 @p452) :args ((or @t326 (not @t324)))) % 204.94/205.29 (step @p454 :rule cnf_or_neg :args (@t326 1)) % 204.94/205.29 (step @p455 :rule eq_resolve :premises (@p454 @p453)) % 204.94/205.29 (step @p456 :rule reordering :premises (@p455) :args ((or @t323 @t326))) % 204.94/205.29 (step @p457 :rule chain_m_resolution :premises (@p456 @p338) :args (@t323 @t222 @t327)) % 204.94/205.29 (step @p458 :rule instantiate :premises (@p457) :args ((@list @t164))) % 204.94/205.29 (step @p459 :rule cnf_equiv_pos2 :args (@t374)) % 204.94/205.29 (step @p460 :rule reordering :premises (@p459) :args ((or @t369 @t375 (not @t374)))) % 204.94/205.29 (step @p461 :rule chain_m_resolution :premises (@p460 @p458 @p451) :args (@t375 @t226 (@list @t369 @t374))) % 204.94/205.29 (step @p462 :rule cnf_or_neg :args (@t373 0)) % 204.94/205.29 (step @p463 :rule chain_m_resolution :premises (@p462 @p461) :args ((not @t367) @t222 @t376)) % 204.94/205.29 (step @p464 :rule refl :args (@t350)) % 204.94/205.29 (step @p465 :rule bool-double-not-elim :args (@t364)) % 204.94/205.29 (step @p466 :rule nary_cong :premises (@p440 @p465 @p464) :args ((or @t367 (not @t366) @t350))) % 204.94/205.29 (step @p467 :rule cnf_and_neg :args (@t367)) % 204.94/205.29 (step @p468 :rule eq_resolve :premises (@p467 @p466)) % 204.94/205.29 (step @p469 :rule reordering :premises (@p468) :args ((or @t350 @t364 @t367))) % 204.94/205.29 (step @p470 :rule eq-symm :args (@t381 @t147)) % 204.94/205.29 (step @p471 :rule nary_cong :premises (@p470 @p436) :args (@t383)) % 204.94/205.29 (step @p472 :rule refl :args (@t387)) % 204.94/205.29 (step @p473 :rule refl :args (@t389)) % 204.94/205.29 (step @p474 :rule nary_cong :premises (@p473 @p472 @p471) :args (@t390)) % 204.94/205.29 (step @p475 :rule refl :args (@t391)) % 204.94/205.29 (step @p476 :rule cong :premises (@p475 @p474) :args (@t392)) % 204.94/205.29 (step @p477 :rule cong :premises (@p416 @p476) :args ((=> @t345 @t392))) % 204.94/205.29 (assume-push @p4665 @t345) % 204.94/205.29 (step @p479 :rule instantiate :premises (@p406) :args ((@list @t381 @t320))) % 204.94/205.29 (step-pop @p4666 :rule scope :premises (@p479)) % 204.94/205.29 (step @p480 :rule process_scope :premises (@p4666) :args (@t392)) % 204.94/205.29 (step @p482 :rule eq_resolve :premises (@p480 @p477)) % 204.94/205.29 (step @p483 :rule implies_elim :premises (@p482)) % 204.94/205.29 (step @p484 :rule chain_m_resolution :premises (@p483 @p406) :args (@t395 @t205 @t348)) % 204.94/205.29 (step @p485 :rule instantiate :premises (@p457) :args ((@list @t380))) % 204.94/205.29 (step @p486 :rule cnf_equiv_pos2 :args (@t395)) % 204.94/205.29 (step @p487 :rule reordering :premises (@p486) :args ((or @t391 @t396 (not @t395)))) % 204.94/205.29 (step @p488 :rule chain_m_resolution :premises (@p487 @p485 @p484) :args (@t396 @t226 (@list @t391 @t395))) % 204.94/205.29 (step @p489 :rule cnf_or_neg :args (@t394 0)) % 204.94/205.29 (step @p490 :rule chain_m_resolution :premises (@p489 @p488) :args ((not @t389) @t222 @t397)) % 204.94/205.29 (step @p491 :rule bool-double-not-elim :args (@t386)) % 204.94/205.29 (step @p492 :rule nary_cong :premises (@p473 @p491 @p464) :args ((or @t389 (not @t388) @t350))) % 204.94/205.29 (step @p493 :rule cnf_and_neg :args (@t389)) % 204.94/205.29 (step @p494 :rule eq_resolve :premises (@p493 @p492)) % 204.94/205.29 (step @p495 :rule reordering 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@p734)) % 204.94/205.29 (step @p737 :rule cong :premises (@p736) :args ((forall @t137 (=> @t51 @t445)))) % 204.94/205.29 (step @p738 :rule eq-symm :args (@t135 @t46)) % 204.94/205.29 (step @p739 :rule refl :args (@t51)) % 204.94/205.29 (step @p740 :rule cong :premises (@p739 @p738) :args (@t136)) % 204.94/205.29 (step @p741 :rule cong :premises (@p740) :args (@t138)) % 204.94/205.29 (step @p742 :rule trans :premises (@p741 @p737)) % 204.94/205.29 (step @p743 :rule eq_resolve :premises (@p41 @p742)) % 204.94/205.29 (step @p744 :rule eq-symm :args (@t438 @t447)) % 204.94/205.29 (step @p745 :rule refl :args (@t296)) % 204.94/205.29 (step @p746 :rule nary_cong :premises (@p745 @p744) :args (@t448)) % 204.94/205.29 (step @p747 :rule refl :args (@t449)) % 204.94/205.29 (step @p748 :rule cong :premises (@p747 @p746) :args ((=> @t449 @t448))) % 204.94/205.29 (assume-push @p4741 @t449) % 204.94/205.29 (step @p750 :rule instantiate :premises (@p743) :args (@t224)) % 204.94/205.29 (step-pop @p4742 :rule scope :premises (@p750)) % 204.94/205.29 (step @p751 :rule process_scope :premises (@p4742) :args (@t448)) % 204.94/205.29 (step @p753 :rule eq_resolve :premises (@p751 @p748)) % 204.94/205.29 (step @p754 :rule implies_elim :premises (@p753)) % 204.94/205.29 (step @p755 :rule chain_m_resolution :premises (@p754 @p743) :args (@t451 @t205 (@list @t449))) % 204.94/205.29 (step @p756 :rule cong :premises (@p68 @p73) :args (@t452)) % 204.94/205.29 (step @p757 :rule cong :premises (@p756) :args ((not @t452))) % 204.94/205.29 (step @p758 :rule eq-symm :args (tptp.true tptp.false)) % 204.94/205.29 (step @p759 :rule cong :premises (@p758) :args (@t13)) % 204.94/205.29 (step @p760 :rule trans :premises (@p759 @p757)) % 204.94/205.29 (step @p761 :rule and_elim :premises (@p2) :args (0)) % 204.94/205.29 (step @p762 :rule eq_resolve :premises (@p761 @p760)) % 204.94/205.29 (step @p763 :rule false_intro :premises (@p762)) % 204.94/205.29 (step @p764 :rule symm :premises (@p721)) % 204.94/205.29 (step @p765 :rule cong :premises (@p73) :args (@t140)) % 204.94/205.29 (step @p766 :rule cong :premises (@p68 @p765) :args ((= tptp.false @t140))) % 204.94/205.29 (step @p767 :rule eq-symm :args (@t140 tptp.false)) % 204.94/205.29 (step @p768 :rule trans :premises (@p767 @p766)) % 204.94/205.29 (step @p769 :rule eq_resolve :premises (@p43 @p768)) % 204.94/205.29 (step @p770 :rule symm :premises (@p769)) % 204.94/205.29 (step @p771 :rule cong :premises (@p770 @p764) :args (@t450)) % 204.94/205.29 (step @p772 :rule trans :premises (@p771 @p763)) % 204.94/205.29 (step @p773 :rule false_elim :premises (@p772)) % 204.94/205.29 (step @p774 :rule cnf_or_pos :args (@t451)) % 204.94/205.29 (step @p775 :rule reordering :premises (@p774) :args ((or @t296 @t450 (not @t451)))) % 204.94/205.29 (step @p776 :rule chain_m_resolution :premises (@p775 @p773 @p755) :args (@t296 @t226 (@list @t450 @t451))) % 204.94/205.29 (step @p777 :rule cnf_or_pos :args (@t455)) % 204.94/205.29 (step @p778 :rule reordering :premises (@p777) :args ((or @t297 @t454 (not @t455)))) % 204.94/205.29 (step @p779 :rule chain_m_resolution :premises (@p778 @p776 @p731) :args (@t454 @t456 (@list @t296 @t455))) % 204.94/205.29 ; trust TRUST PREPROCESS_SORT_INFER % 204.94/205.29 (step @p780 :rule trust :premises () :args ((= @t116 @t458))) % 204.94/205.29 (step @p781 :rule eq_resolve :premises (@p36 @p780)) % 204.94/205.29 (step @p782 :rule instantiate :premises (@p781) :args (@t459)) % 204.94/205.29 ; trust TRUST PREPROCESS_SORT_INFER % 204.94/205.29 (step @p783 :rule trust :premises () :args ((= (forall @t113 (not (forall @t7 (or (not @t110) @t463)))) (forall (@list @t460 @t75) (not (forall @t163 (or (not (= (_ @t161 @t460 @t75) (tptp.phi @t461))) (not (forall @t160 (not (tptp.forallprefers (_ @t156 @t460 @t158 @t75) @t461))))))))))) % 204.94/205.29 (step @p784 :rule bool-and-de-morgan :args (@t110 @t462 true)) % 204.94/205.29 (step @p785 :rule cong :premises (@p784) :args (@t465)) % 204.94/205.29 (step @p786 :rule cong :premises (@p785) :args (@t466)) % 204.94/205.29 (step @p787 :rule exists-elim :args ((= (exists @t7 @t464) @t466))) % 204.94/205.29 (step @p788 :rule trans :premises (@p787 @p786)) % 204.94/205.29 (step @p789 :rule bool-double-not-elim :args (@t462)) % 204.94/205.29 (step @p790 :rule exists-elim :args ((= @t107 @t463))) % 204.94/205.29 (step @p791 :rule cong :premises (@p790) :args (@t108)) % 204.94/205.29 (step @p792 :rule trans :premises (@p791 @p789)) % 204.94/205.29 (step @p793 :rule refl :args (@t110)) % 204.94/205.29 (step @p794 :rule nary_cong :premises (@p793 @p792) :args (@t111)) % 204.94/205.29 (step @p795 :rule cong :premises (@p794) :args (@t112)) % 204.94/205.29 (step @p796 :rule trans :premises (@p795 @p788)) % 204.94/205.29 (step @p797 :rule cong :premises (@p796) :args (@t114)) % 204.94/205.29 (step @p798 :rule trans :premises (@p797 @p783)) % 204.94/205.29 (step @p799 :rule eq_resolve :premises (@p35 @p798)) % 204.94/205.29 (step @p800 :rule instantiate :premises (@p799) :args (@t459)) % 204.94/205.29 (step @p801 :rule skolemize :premises (@p800)) % 204.94/205.29 (step @p802 :rule bool-double-not-elim :args (@t469)) % 204.94/205.29 (step @p803 :rule refl :args (@t473)) % 204.94/205.29 (step @p804 :rule nary_cong :premises (@p803 @p802) :args ((or @t473 (not @t472)))) % 204.94/205.29 (step @p805 :rule cnf_or_neg :args (@t473 0)) % 204.94/205.29 (step @p806 :rule eq_resolve :premises (@p805 @p804)) % 204.94/205.29 (step @p807 :rule reordering :premises (@p806) :args ((or @t469 @t473))) % 204.94/205.29 (step @p808 :rule chain_m_resolution :premises (@p807 @p801) :args (@t469 @t222 @t474)) % 204.94/205.29 (step @p809 :rule cong :premises (@p68 @p243) :args (@t70)) % 204.94/205.29 (step @p810 :rule cong :premises (@p73 @p809) :args (@t475)) % 204.94/205.29 (step @p811 :rule cong :premises (@p810) :args ((forall @t62 @t475))) % 204.94/205.29 (step @p812 :rule eq-symm :args (@t70 tptp.true)) % 204.94/205.29 (step @p813 :rule cong :premises (@p812) :args (@t71)) % 204.94/205.29 (step @p814 :rule trans :premises (@p813 @p811)) % 204.94/205.29 (step @p815 :rule eq_resolve :premises (@p14 @p814)) % 204.94/205.29 (step @p816 :rule instantiate :premises (@p815) :args ((@list @t476))) % 204.94/205.29 (step @p817 :rule instantiate :premises (@p815) :args ((@list @t478))) % 204.94/205.29 (step @p818 :rule eq-symm :args (@t479 @t147)) % 204.94/205.29 (step @p819 :rule cong :premises (@p524 @p818) :args (@t480)) % 204.94/205.29 (step @p820 :rule cong :premises (@p232 @p819) :args ((=> @t271 @t480))) % 204.94/205.29 (assume-push @p4743 @t271) % 204.94/205.29 (step @p822 :rule instantiate :premises (@p229) :args (@t405)) % 204.94/205.29 (step-pop @p4744 :rule scope :premises (@p822)) % 204.94/205.29 (step @p823 :rule process_scope :premises (@p4744) :args (@t480)) % 204.94/205.29 (step @p825 :rule eq_resolve :premises (@p823 @p820)) % 204.94/205.29 (step @p826 :rule implies_elim :premises (@p825)) % 204.94/205.29 (step @p827 :rule chain_m_resolution :premises (@p826 @p229) :args (@t482 @t205 @t274)) % 204.94/205.29 (step @p828 :rule cnf_equiv_pos1 :args (@t482)) % 204.94/205.29 (step @p829 :rule reordering :premises (@p828) :args ((or @t483 @t481 (not @t482)))) % 204.94/205.29 (step @p830 :rule chain_m_resolution :premises (@p829 @p534 @p827) :args (@t481 @t456 (@list @t400 @t482))) % 204.94/205.29 (step @p831 :rule instantiate :premises (@p272) :args (@t405)) % 204.94/205.29 (step @p832 :rule cnf_or_pos :args (@t486)) % 204.94/205.29 (step @p833 :rule reordering :premises (@p832) :args ((or @t483 @t485 (not @t486)))) % 204.94/205.29 (step @p834 :rule chain_m_resolution :premises (@p833 @p534 @p831) :args (@t485 @t456 (@list @t400 @t486))) % 204.94/205.29 ; trust TRUST PREPROCESS_SORT_INFER % 204.94/205.29 (step @p835 :rule trust :premises () :args ((= @t105 (forall (@list @t488 @t487 @t75) (= (_ @t156 @t488 @t487 @t75) (tptp.impl (_ @t165 @t488 @t487) @t75)))))) % 204.94/205.29 (step @p836 :rule eq_resolve :premises (@p34 @p835)) % 204.94/205.29 (step @p837 :rule instantiate :premises (@p836) :args ((@list @t155 @t380 tptp.false1))) % 204.94/205.29 (assume-push @p4745 @t261) % 204.94/205.29 (assume-push @p4746 @t435) % 204.94/205.29 (assume-push @p4747 @t441) % 204.94/205.29 (assume-push @p4748 @t279) % 204.94/205.29 (assume-push @p4749 @t284) % 204.94/205.29 (assume-push @p4750 @t454) % 204.94/205.29 (assume-push @p4751 @t490) % 204.94/205.29 (assume-push @p4752 @t494) % 204.94/205.29 (assume-push @p4753 @t469) % 204.94/205.29 (assume-push @p4754 @t219) % 204.94/205.29 (assume-push @p4755 @t496) % 204.94/205.29 (assume-push @p4756 @t481) % 204.94/205.29 (assume-push @p4757 @t497) % 204.94/205.29 (assume-push @p4758 @t485) % 204.94/205.29 (assume-push @p4759 @t498) % 204.94/205.29 (assume-push @p4760 @t500) % 204.94/205.29 (assume-push @p4761 @t426) % 204.94/205.29 (assume-push @p4762 @t219) % 204.94/205.29 (assume-push @p4763 @t497) % 204.94/205.29 (assume-push @p4764 @t494) % 204.94/205.29 (assume-push @p4765 @t481) % 204.94/205.29 (assume-push @p4766 @t469) % 204.94/205.29 (assume-push @p4767 @t500) % 204.94/205.29 (assume-push @p4768 @t426) % 204.94/205.29 (assume-push @p4769 @t261) % 204.94/205.29 (assume-push @p4770 @t284) % 204.94/205.29 (assume-push @p4771 @t498) % 204.94/205.29 (assume-push @p4772 @t279) % 204.94/205.29 (assume-push @p4773 @t454) % 204.94/205.29 (assume-push @p4774 @t441) % 204.94/205.29 (assume-push @p4775 @t496) % 204.94/205.29 (assume-push @p4776 @t485) % 204.94/205.29 (assume-push @p4777 @t490) % 204.94/205.29 (assume-push @p4778 @t435) % 204.94/205.29 (step @p872 :rule symm :premises (@p147)) % 204.94/205.29 (step @p873 :rule refl :args (@t155)) % 204.94/205.29 (step @p874 :rule cong :premises (@p873 @p4757) :args (@t493)) % 204.94/205.29 (step @p875 :rule symm :premises (@p782)) % 204.94/205.29 (step @p876 :rule refl :args (tptp.false1)) % 204.94/205.29 (step @p877 :rule symm :premises (@p808)) % 204.94/205.29 (step @p878 :rule symm :premises (@p837)) % 204.94/205.29 (step @p879 :rule symm :premises (@p4745)) % 204.94/205.29 (step @p880 :rule symm :premises (@p4749)) % 204.94/205.29 (step @p881 :rule refl :args (@t244)) % 204.94/205.29 (step @p882 :rule symm :premises (@p817)) % 204.94/205.29 (step @p883 :rule refl :args (@t147)) % 204.94/205.29 (step @p884 :rule cong :premises (@p883 @p4748) :args (@t453)) % 204.94/205.29 (step @p885 :rule trans :premises (@p779 @p884)) % 204.94/205.29 (step @p886 :rule cong :premises (@p885 @p881) :args (@t283)) % 204.94/205.29 (step @p887 :rule cong :premises (@p876 @p886) :args (@t501)) % 204.94/205.29 (step @p888 :rule trans :premises (@p887 @p882)) % 204.94/205.29 (step @p889 :rule cong :premises (@p888 @p881) :args (@t502)) % 204.94/205.29 (step @p890 :rule symm :premises (@p4748)) % 204.94/205.29 (step @p891 :rule cong :premises (@p890 @p881) :args (@t503)) % 204.94/205.29 (step @p892 :rule trans :premises (@p891 @p880)) % 204.94/205.29 (step @p893 :rule symm :premises (@p888)) % 204.94/205.29 (step @p894 :rule trans :premises (@p890 @p893)) % 204.94/205.29 (step @p895 :rule cong :premises (@p894 @p892) :args (@t504)) % 204.94/205.29 (step @p896 :rule symm :premises (@p891)) % 204.94/205.29 (step @p897 :rule cong :premises (@p4748 @p896) :args (@t505)) % 204.94/205.29 (step @p898 :rule trans :premises (@p897 @p895 @p889 @p880 @p879)) % 204.94/205.29 (step @p899 :rule symm :premises (@p897)) % 204.94/205.29 (step @p900 :rule symm :premises (@p895)) % 204.94/205.29 (step @p901 :rule symm :premises (@p889)) % 204.94/205.29 (step @p902 :rule trans :premises (@p901 @p900 @p899)) % 204.94/205.29 (step @p903 :rule trans :premises (@p4749 @p902 @p898 @p4761)) % 204.94/205.29 (step @p904 :rule cong :premises (@p903 @p876) :args (@t506)) % 204.94/205.29 (step @p905 :rule trans :premises (@p880 @p879)) % 204.94/205.29 (step @p906 :rule cong :premises (@p4745 @p905) :args (@t507)) % 204.94/205.29 (step @p907 :rule cong :premises (@p876 @p4749) :args (@t278)) % 204.94/205.29 (step @p908 :rule trans :premises (@p4748 @p907 @p906 @p904 @p878)) % 204.94/205.29 (step @p909 :rule cong :premises (@p908) :args (@t438)) % 204.94/205.29 (step @p910 :rule trans :premises (@p721 @p909 @p877)) % 204.94/205.29 (step @p911 :rule symm :premises (@p816)) % 204.94/205.29 (step @p912 :rule trans :premises (@p911 @p910)) % 204.94/205.29 (step @p913 :rule cong :premises (@p912 @p876) :args (@t508)) % 204.94/205.29 (step @p914 :rule cong :premises (@p816 @p876) :args (@t484)) % 204.94/205.29 (step @p915 :rule trans :premises (@p834 @p914 @p913)) % 204.94/205.29 (step @p916 :rule cong :premises (@p830 @p915) :args (@t489)) % 204.94/205.29 (step @p917 :rule trans :premises (@p708 @p730 @p916 @p875 @p874)) % 204.94/205.29 (step @p918 :rule cong :premises (@p917) :args (@t430)) % 204.94/205.29 (step @p919 :rule trans :premises (@p708 @p918 @p872)) % 204.94/205.29 (step-pop @p4779 :rule scope :premises (@p919)) % 204.94/205.29 (step-pop @p4780 :rule scope :premises (@p4779)) % 204.94/205.29 (step-pop @p4781 :rule scope :premises (@p4780)) % 204.94/205.29 (step-pop @p4782 :rule scope :premises (@p4781)) % 204.94/205.29 (step-pop @p4783 :rule scope :premises (@p4782)) % 204.94/205.29 (step-pop @p4784 :rule scope :premises (@p4783)) % 204.94/205.29 (step-pop @p4785 :rule scope :premises (@p4784)) % 204.94/205.29 (step-pop @p4786 :rule scope :premises (@p4785)) % 204.94/205.29 (step-pop @p4787 :rule scope :premises (@p4786)) % 204.94/205.29 (step-pop @p4788 :rule scope :premises (@p4787)) % 204.94/205.29 (step-pop @p4789 :rule scope :premises (@p4788)) % 204.94/205.29 (step-pop @p4790 :rule scope :premises (@p4789)) % 204.94/205.29 (step-pop @p4791 :rule scope :premises (@p4790)) % 204.94/205.29 (step-pop @p4792 :rule scope :premises (@p4791)) % 204.94/205.29 (step-pop @p4793 :rule scope :premises (@p4792)) % 204.94/205.29 (step-pop @p4794 :rule scope :premises (@p4793)) % 204.94/205.29 (step-pop @p4795 :rule scope :premises (@p4794)) % 204.94/205.29 (step @p920 :rule process_scope :premises (@p4795) :args (@t291)) % 204.94/205.29 (step @p938 :rule and_intro :premises (@p147 @p4757 @p782 @p830 @p808 @p837 @p4761 @p4745 @p4749 @p817 @p4748 @p779 @p721 @p816 @p834 @p730 @p708)) % 204.94/205.29 (step @p939 :rule modus_ponens :premises (@p938 @p920)) % 204.94/205.29 (step-pop @p4796 :rule scope :premises (@p939)) % 204.94/205.29 (step-pop @p4797 :rule scope :premises (@p4796)) % 204.94/205.29 (step-pop @p4798 :rule scope :premises (@p4797)) % 204.94/205.29 (step-pop @p4799 :rule scope :premises (@p4798)) % 204.94/205.29 (step-pop @p4800 :rule scope :premises (@p4799)) % 204.94/205.29 (step-pop @p4801 :rule scope :premises (@p4800)) % 204.94/205.29 (step-pop @p4802 :rule scope :premises (@p4801)) % 204.94/205.29 (step-pop @p4803 :rule scope :premises (@p4802)) % 204.94/205.29 (step-pop @p4804 :rule scope :premises (@p4803)) % 204.94/205.29 (step-pop @p4805 :rule scope :premises (@p4804)) % 204.94/205.29 (step-pop @p4806 :rule scope :premises (@p4805)) % 204.94/205.29 (step-pop @p4807 :rule scope :premises (@p4806)) % 204.94/205.29 (step-pop @p4808 :rule scope :premises (@p4807)) % 204.94/205.29 (step-pop @p4809 :rule scope :premises (@p4808)) % 204.94/205.29 (step-pop @p4810 :rule scope :premises (@p4809)) % 204.94/205.29 (step-pop @p4811 :rule scope :premises (@p4810)) % 204.94/205.29 (step-pop @p4812 :rule scope :premises (@p4811)) % 204.94/205.29 (step @p940 :rule process_scope :premises (@p4812) :args (@t291)) % 204.94/205.29 (step @p958 :rule implies_elim :premises (@p940)) % 204.94/205.29 (step @p959 :rule cnf_and_neg :args (@t509)) % 204.94/205.29 (step @p960 :rule resolution :premises (@p959 @p958) :args (true @t509)) % 204.94/205.29 (step @p961 :rule reordering :premises (@p960) :args ((or @t293 @t523 @t522 @t521 @t520 @t291 @t519 @t518 @t517 @t472 @t220 @t516 @t515 @t514 @t513 @t512 @t511 @t510))) % 204.94/205.29 (step @p962 :rule eq-symm :args (@t524 @t147)) % 204.94/205.29 (step @p963 :rule cong :premises (@p745 @p962) :args (@t525)) % 204.94/205.29 (step @p964 :rule cong :premises (@p232 @p963) :args ((=> @t271 @t525))) % 204.94/205.29 (assume-push @p4813 @t271) % 204.94/205.29 (step @p966 :rule instantiate :premises (@p229) :args (@t224)) % 204.94/205.29 (step-pop @p4814 :rule scope :premises (@p966)) % 204.94/205.29 (step @p967 :rule process_scope :premises (@p4814) :args (@t525)) % 204.94/205.29 (step @p969 :rule eq_resolve :premises (@p967 @p964)) % 204.94/205.29 (step @p970 :rule implies_elim :premises (@p969)) % 204.94/205.29 (step @p971 :rule chain_m_resolution :premises (@p970 @p229) :args (@t527 @t205 @t274)) % 204.94/205.29 (step @p972 :rule cnf_equiv_pos1 :args (@t527)) % 204.94/205.29 (step @p973 :rule reordering :premises (@p972) :args ((or @t297 @t526 (not @t527)))) % 204.94/205.29 (step @p974 :rule chain_m_resolution :premises (@p973 @p776 @p971) :args (@t526 @t456 (@list @t296 @t527))) % 204.94/205.29 (step @p975 :rule instantiate :premises (@p257) :args (@t224)) % 204.94/205.29 (step @p976 :rule cnf_or_pos :args (@t530)) % 204.94/205.29 (step @p977 :rule reordering :premises (@p976) :args ((or @t297 @t529 (not @t530)))) % 204.94/205.29 (step @p978 :rule chain_m_resolution :premises (@p977 @p776 @p975) :args (@t529 @t456 (@list @t296 @t530))) % 204.94/205.29 (step @p979 :rule instantiate :premises (@p729) :args (@t224)) % 204.94/205.29 (step @p980 :rule bool-eq-true :args (@t531)) % 204.94/205.29 (step @p981 :rule absorb :args ((= (or @t533 @t532 true) true))) % 204.94/205.29 (step @p982 :rule evaluate :args ((and true true))) % 204.94/205.29 (step @p983 :rule nary_cong :premises (@p521 @p408) :args (@t534)) % 204.94/205.29 (step @p984 :rule trans :premises (@p983 @p982)) % 204.94/205.29 (step @p985 :rule refl :args (@t532)) % 204.94/205.29 (step @p986 :rule refl :args (@t533)) % 204.94/205.29 (step @p987 :rule nary_cong :premises (@p986 @p985 @p984) :args (@t535)) % 204.94/205.29 (step @p988 :rule trans :premises (@p987 @p981)) % 204.94/205.29 (step @p989 :rule refl :args (@t531)) % 204.94/205.29 (step @p990 :rule cong :premises (@p989 @p988) :args (@t536)) % 204.94/205.29 (step @p991 :rule trans :premises (@p990 @p980)) % 204.94/205.29 (step @p992 :rule cong :premises (@p98 @p991) :args ((=> @t201 @t536))) % 204.94/205.29 (assume-push @p4815 @t201) % 204.94/205.29 (step @p994 :rule instantiate :premises (@p89) :args ((@list tptp.false1 @t147))) % 204.94/205.29 (step-pop @p4816 :rule scope :premises (@p994)) % 204.94/205.29 (step @p995 :rule process_scope :premises (@p4816) :args (@t536)) % 204.94/205.29 (step @p997 :rule eq_resolve :premises (@p995 @p992)) % 204.94/205.29 (step @p998 :rule implies_elim :premises (@p997)) % 204.94/205.29 (step @p999 :rule chain_m_resolution :premises (@p998 @p89) :args (@t531 @t205 @t206)) % 204.94/205.29 (step @p1000 :rule instantiate :premises (@p781) :args ((@list @t155 @t184))) % 204.94/205.29 (step @p1001 :rule instantiate :premises (@p799) :args (@t537)) % 204.94/205.29 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(assume-push @p4933 @t494) % 204.94/205.29 (assume-push @p4934 @t592) % 204.94/205.29 (assume-push @p4935 @t583) % 204.94/205.29 (assume-push @p4936 @t554) % 204.94/205.29 (assume-push @p4937 @t564) % 204.94/205.29 (step @p574 :rule evaluate :args (@t411)) % 204.94/205.29 (step @p1062 :rule true_intro :premises (@p999)) % 204.94/205.29 (step @p1298 :rule symm :premises (@p1272)) % 204.94/205.29 (step @p1106 :rule refl :args (@t551)) % 204.94/205.29 (step @p1299 :rule symm :premises (@p4935)) % 204.94/205.29 (step @p1300 :rule cong :premises (@p1299 @p1106) :args (@t553)) % 204.94/205.29 (step @p1301 :rule trans :premises (@p1000 @p1300 @p1298)) % 204.94/205.29 (step @p1112 :rule symm :premises (@p708)) % 204.94/205.29 (step @p1113 :rule symm :premises (@p730)) % 204.94/205.29 (step @p1114 :rule symm :premises (@p834)) % 204.94/205.29 (step @p876 :rule refl :args (tptp.false1)) % 204.94/205.29 (step @p911 :rule symm :premises (@p816)) % 204.94/205.29 (step @p1115 :rule cong :premises 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(assume-push @p4962 @t496) % 204.94/205.29 (assume-push @p4963 @t481) % 204.94/205.29 (assume-push @p4964 @t554) % 204.94/205.29 (assume-push @p4965 @t592) % 204.94/205.29 (assume-push @p4966 @t583) % 204.94/205.29 (assume-push @p4967 @t564) % 204.94/205.29 (assume-push @p4968 @t587) % 204.94/205.29 (assume-push @p4969 @t485) % 204.94/205.29 (assume-push @p4970 @t500) % 204.94/205.29 (assume-push @p4971 @t426) % 204.94/205.29 (step @p1354 :rule and_intro :premises (@p999 @p708 @p730 @p830 @p834 @p816 @p721 @p1276 @p4971 @p4955 @p837 @p808 @p782 @p1272 @p4966 @p1000 @p1010)) % 204.94/205.29 (step-pop @p4972 :rule scope :premises (@p1354)) % 204.94/205.29 (step-pop @p4973 :rule scope :premises (@p4972)) % 204.94/205.29 (step-pop @p4974 :rule scope :premises (@p4973)) % 204.94/205.29 (step-pop @p4975 :rule scope :premises (@p4974)) % 204.94/205.29 (step-pop @p4976 :rule scope :premises (@p4975)) % 204.94/205.29 (step-pop @p4977 :rule scope :premises (@p4976)) % 204.94/205.29 (step-pop @p4978 :rule scope :premises (@p4977)) % 204.94/205.29 (step-pop @p4979 :rule scope :premises (@p4978)) % 204.94/205.29 (step-pop @p4980 :rule scope :premises (@p4979)) % 204.94/205.29 (step-pop @p4981 :rule scope :premises (@p4980)) % 204.94/205.29 (step-pop @p4982 :rule scope :premises (@p4981)) % 204.94/205.29 (step-pop @p4983 :rule scope :premises (@p4982)) % 204.94/205.29 (step-pop @p4984 :rule scope :premises (@p4983)) % 204.94/205.29 (step-pop @p4985 :rule scope :premises (@p4984)) % 204.94/205.29 (step-pop @p4986 :rule scope :premises (@p4985)) % 204.94/205.29 (step-pop @p4987 :rule scope :premises (@p4986)) % 204.94/205.29 (step-pop @p4988 :rule scope :premises (@p4987)) % 204.94/205.29 (step @p1355 :rule process_scope :premises (@p4988) :args (@t594)) % 204.94/205.29 (step @p1373 :rule implies_elim :premises (@p1355)) % 204.94/205.29 (step @p1374 :rule resolution :premises (@p1373 @p1319) :args (true @t594)) % 204.94/205.29 (step @p1375 :rule not_and :premises (@p1374)) % 204.94/205.29 (step @p1376 :rule eq_resolve :premises (@p1375 @p1280)) % 204.94/205.29 (step @p1377 :rule reordering :premises (@p1376) :args ((or @t293 @t523 @t522 @t518 @t558 @t517 @t472 @t516 @t555 @t593 @t549 @t514 @t589 @t513 @t511 @t510 @t590))) % 204.94/205.29 (step @p1378 :rule chain_m_resolution :premises (@p1377 @p837 @p834 @p1276 @p830 @p1010 @p1272 @p1000 @p816 @p808 @p782 @p999 @p730 @p721 @p708 @p1271 @p1264 @p1235 @p1233 @p1220 @p1218 @p1011 @p837 @p834 @p830 @p817 @p1010 @p1009 @p1000 @p816 @p808 @p782 @p999 @p979 @p779 @p978 @p730 @p974 @p721 @p708 @p961 @p837 @p834 @p830 @p817 @p816 @p147 @p808 @p782 @p779 @p730 @p721 @p708 @p695 @p693 @p691 @p689 @p677 @p675 @p663 @p657 @p655 @p648 @p646 @p485 @p606 @p458 @p563 @p534 @p345 @p517 @p345 @p495 @p490 @p469 @p463 @p435 @p433 @p431 @p429 @p428 @p426 @p424 @p387 @p345 @p172 @p319 @p317 @p292) :args ((or @t293 @t521 @t520 @t330) (@list false false false false true false false false false false false false false false false false true false true true false false false false false true false false false false false false false false false false false false false true false false false false false false false false false false false false false false false false false false false true false true true true true true false false false false false false true false true false false false false true false false true false true false true true) (@list @t500 @t485 @t587 @t481 @t549 @t592 @t554 @t496 @t469 @t494 @t531 @t490 @t441 @t435 @t583 @t584 @t572 @t575 @t570 @t556 @t547 @t500 @t485 @t481 @t498 @t549 @t539 @t554 @t496 @t469 @t494 @t531 @t560 @t454 @t529 @t490 @t526 @t441 @t435 @t497 @t500 @t485 @t481 @t498 @t496 @t219 @t469 @t494 @t454 @t490 @t441 @t435 @t426 @t420 @t427 @t428 @t421 @t422 @t384 @t387 @t362 @t365 @t393 @t391 @t372 @t369 @t361 @t400 @t322 @t371 @t322 @t386 @t389 @t364 @t367 @t354 @t349 @t355 @t356 @t351 @t343 @t347 @t328 @t322 @t236 @t303 @t291 @t245))) % 204.94/205.29 (step @p1379 :rule 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(step @p1393 :rule instantiate :premises (@p89) :args ((@list tptp.false1 @t244))) % 204.94/205.29 (step-pop @p4990 :rule scope :premises (@p1393)) % 204.94/205.29 (step @p1394 :rule process_scope :premises (@p4990) :args (@t603)) % 204.94/205.29 (step @p1396 :rule eq_resolve :premises (@p1394 @p1391)) % 204.94/205.29 (step @p1397 :rule implies_elim :premises (@p1396)) % 204.94/205.29 (step @p1398 :rule cnf_equiv_pos2 :args (@t604)) % 204.94/205.29 (step @p1399 :rule reordering :premises (@p1398) :args ((or @t602 (not @t598) (not @t604)))) % 204.94/205.29 (step @p1400 :rule bool-and-de-morgan :args (@t132 @t605 true)) % 204.94/205.29 (step @p1401 :rule cong :premises (@p1400) :args (@t607)) % 204.94/205.29 (step @p1402 :rule cong :premises (@p1401) :args (@t608)) % 204.94/205.29 (step @p1403 :rule exists-elim :args ((= (exists @t102 @t606) @t608))) % 204.94/205.29 (step @p1404 :rule trans :premises (@p1403 @p1402)) % 204.94/205.29 (step @p1405 :rule bool-double-not-elim :args (@t605)) 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204.94/205.30 (assume-push @p5570 @t481) % 204.94/205.30 (assume-push @p5571 @t587) % 204.94/205.30 (assume-push @p5572 @t485) % 204.94/205.30 (assume-push @p5573 @t354) % 204.94/205.30 (assume-push @p5574 @t500) % 204.94/205.30 (assume-push @p5575 @t426) % 204.94/205.30 (assume-push @p5576 @t743) % 204.94/205.30 (assume-push @p5577 @t747) % 204.94/205.30 (step @p2558 :rule and_intro :premises (@p999 @p834 @p816 @p5562 @p345 @p5573 @p708 @p730 @p830 @p5563 @p1422 @p1421 @p2471 @p1276 @p5575 @p837 @p2478)) % 204.94/205.30 (step-pop @p5578 :rule scope :premises (@p2558)) % 204.94/205.30 (step-pop @p5579 :rule scope :premises (@p5578)) % 204.94/205.30 (step-pop @p5580 :rule scope :premises (@p5579)) % 204.94/205.30 (step-pop @p5581 :rule scope :premises (@p5580)) % 204.94/205.30 (step-pop @p5582 :rule scope :premises (@p5581)) % 204.94/205.30 (step-pop @p5583 :rule scope :premises (@p5582)) % 204.94/205.30 (step-pop @p5584 :rule scope :premises (@p5583)) % 204.94/205.30 (step-pop @p5585 :rule scope :premises (@p5584)) % 204.94/205.30 (step-pop @p5586 :rule scope :premises (@p5585)) % 204.94/205.30 (step-pop @p5587 :rule scope :premises (@p5586)) % 204.94/205.30 (step-pop @p5588 :rule scope :premises (@p5587)) % 204.94/205.30 (step-pop @p5589 :rule scope :premises (@p5588)) % 204.94/205.30 (step-pop @p5590 :rule scope :premises (@p5589)) % 204.94/205.30 (step-pop @p5591 :rule scope :premises (@p5590)) % 204.94/205.30 (step-pop @p5592 :rule scope :premises (@p5591)) % 204.94/205.30 (step-pop @p5593 :rule scope :premises (@p5592)) % 204.94/205.30 (step-pop @p5594 :rule scope :premises (@p5593)) % 204.94/205.30 (step @p2559 :rule process_scope :premises (@p5594) :args (@t749)) % 204.94/205.30 (step @p2577 :rule implies_elim :premises (@p2559)) % 204.94/205.30 (step @p2578 :rule resolution :premises (@p2577 @p2523) :args (true @t749)) % 204.94/205.30 (step @p2579 :rule not_and :premises (@p2578)) % 204.94/205.30 (step @p2580 :rule eq_resolve :premises (@p2579 @p2483)) % 204.94/205.30 (step @p2581 :rule reordering :premises (@p2580) :args ((or @t616 @t599 @t523 @t636 @t746 @t518 @t558 @t325 @t516 @t514 @t589 @t513 @t399 @t511 @t510 @t744 @t741))) % 204.94/205.30 (step @p2582 :rule instantiate :premises (@p39) :args (@t716)) % 204.94/205.30 (step @p2583 :rule instantiate :premises (@p1548) :args (@t716)) % 204.94/205.30 (step @p2584 :rule bool-double-not-elim :args (@t751)) % 204.94/205.30 (step @p2585 :rule refl :args (@t755)) % 204.94/205.30 (step @p2586 :rule refl :args (@t757)) % 204.94/205.30 (step @p2587 :rule nary_cong :premises (@p2586 @p1035 @p293 @p1028 @p2585 @p1026 @p1022 @p2584) :args ((or @t757 @t523 @t292 @t518 @t755 @t558 @t514 (not @t758)))) % 204.94/205.30 (assume-push @p5595 @t531) % 204.94/205.30 (assume-push @p5596 @t435) % 204.94/205.30 (assume-push @p5597 @t490) % 204.94/205.30 (assume-push @p5598 @t481) % 204.94/205.30 (assume-push @p5599 @t291) % 204.94/205.30 (assume-push @p5600 @t754) % 204.94/205.30 (assume-push @p5601 @t756) % 204.94/205.30 (assume-push @p5602 @t758) % 204.94/205.30 (step @p574 :rule evaluate :args (@t411)) % 204.94/205.30 (step @p1062 :rule true_intro :premises (@p999)) % 204.94/205.30 (step @p2596 :rule symm :premises (@p5601)) % 204.94/205.30 (step @p1112 :rule symm :premises (@p708)) % 204.94/205.30 (step @p1113 :rule symm :premises (@p730)) % 204.94/205.30 (step @p2597 :rule symm :premises (@p5599)) % 204.94/205.30 (step @p1128 :rule symm :premises (@p830)) % 204.94/205.30 (step @p2598 :rule cong :premises (@p2597) :args (@t752)) % 204.94/205.30 (step @p2599 :rule trans :premises (@p2598 @p1128)) % 204.94/205.30 (step @p2600 :rule cong :premises (@p2599 @p2597) :args (@t753)) % 204.94/205.30 (step @p2601 :rule trans :premises (@p2582 @p2600 @p1113 @p1112)) % 204.94/205.30 (step @p2602 :rule cong :premises (@p2601 @p2596) :args (@t751)) % 204.94/205.30 (step @p2603 :rule false_intro :premises (@p2583)) % 204.94/205.30 (step @p2604 :rule symm :premises (@p2603)) % 204.94/205.30 (step @p2605 :rule trans :premises (@p2604 @p2602 @p1062)) % 204.94/205.30 (step @p2606 false :rule eq_resolve :premises (@p2605 @p574)) % 204.94/205.30 (step-pop @p5603 :rule scope :premises (@p2606)) % 204.94/205.30 (step-pop @p5604 :rule scope :premises (@p5603)) % 204.94/205.30 (step-pop @p5605 :rule scope :premises (@p5604)) % 204.94/205.30 (step-pop @p5606 :rule scope :premises (@p5605)) % 204.94/205.30 (step-pop @p5607 :rule scope :premises (@p5606)) % 204.94/205.30 (step-pop @p5608 :rule scope :premises (@p5607)) % 204.94/205.30 (step-pop @p5609 :rule scope :premises (@p5608)) % 204.94/205.30 (step-pop @p5610 :rule scope :premises (@p5609)) % 204.94/205.30 (step @p2607 :rule process_scope :premises (@p5610) :args (false)) % 204.94/205.30 (assume-push @p5611 @t756) % 204.94/205.30 (assume-push @p5612 @t435) % 204.94/205.30 (assume-push @p5613 @t291) % 204.94/205.30 (assume-push @p5614 @t490) % 204.94/205.30 (assume-push @p5615 @t754) % 204.94/205.30 (assume-push @p5616 @t531) % 204.94/205.30 (assume-push @p5617 @t481) % 204.94/205.30 (assume-push @p5618 @t758) % 204.94/205.30 (step @p2624 :rule and_intro :premises (@p999 @p708 @p730 @p830 @p5613 @p2582 @p5611 @p2583)) % 204.94/205.30 (step-pop @p5619 :rule scope :premises (@p2624)) % 204.94/205.30 (step-pop @p5620 :rule scope :premises (@p5619)) % 204.94/205.30 (step-pop @p5621 :rule scope :premises (@p5620)) % 204.94/205.30 (step-pop @p5622 :rule scope :premises (@p5621)) % 204.94/205.30 (step-pop @p5623 :rule scope :premises (@p5622)) % 204.94/205.30 (step-pop @p5624 :rule scope :premises (@p5623)) % 204.94/205.30 (step-pop @p5625 :rule scope :premises (@p5624)) % 204.94/205.30 (step-pop @p5626 :rule scope :premises (@p5625)) % 204.94/205.30 (step @p2625 :rule process_scope :premises (@p5626) :args (@t759)) % 204.94/205.30 (step @p2634 :rule implies_elim :premises (@p2625)) % 204.94/205.30 (step @p2635 :rule resolution :premises (@p2634 @p2607) :args (true @t759)) % 204.94/205.30 (step @p2636 :rule not_and :premises (@p2635)) % 204.94/205.30 (step @p2637 :rule eq_resolve :premises (@p2636 @p2587)) % 204.94/205.30 (step @p2638 :rule reordering :premises (@p2637) :args ((or @t523 @t292 @t757 @t518 @t755 @t558 @t514 @t751))) % 204.94/205.30 (assume-push @p5627 @t687) % 204.94/205.30 (assume-push @p5628 @t435) % 204.94/205.30 (assume-push @p5629 @t632) % 204.94/205.30 (assume-push @p5630 @t682) % 204.94/205.30 (assume-push @p5631 @t490) % 204.94/205.30 (assume-push @p5632 @t496) % 204.94/205.30 (assume-push @p5633 @t481) % 204.94/205.30 (assume-push @p5634 @t485) % 204.94/205.30 (assume-push @p5635 @t632) % 204.94/205.30 (assume-push @p5636 @t682) % 204.94/205.30 (assume-push @p5637 @t481) % 204.94/205.30 (assume-push @p5638 @t687) % 204.94/205.30 (assume-push @p5639 @t485) % 204.94/205.30 (assume-push @p5640 @t496) % 204.94/205.30 (assume-push @p5641 @t490) % 204.94/205.30 (assume-push @p5642 @t435) % 204.94/205.30 (step @p1465 :rule symm :premises (@p1423)) % 204.94/205.30 (step @p1114 :rule symm :premises (@p834)) % 204.94/205.30 (step @p876 :rule refl :args (tptp.false1)) % 204.94/205.30 (step @p911 :rule symm :premises (@p816)) % 204.94/205.30 (step @p1115 :rule cong :premises (@p911 @p876) :args (@t508)) % 204.94/205.30 (step @p2655 :rule trans :premises (@p1115 @p1114 @p5627)) % 204.94/205.30 (step @p1128 :rule symm :premises (@p830)) % 204.94/205.30 (step @p2656 :rule trans :premises (@p1128 @p5630)) % 204.94/205.30 (step @p2657 :rule cong :premises (@p2656 @p2655) :args (@t748)) % 204.94/205.30 (step @p914 :rule cong :premises (@p816 @p876) :args (@t484)) % 204.94/205.30 (step @p2658 :rule trans :premises (@p834 @p914)) % 204.94/205.30 (step @p2659 :rule cong :premises (@p830 @p2658) :args (@t489)) % 204.94/205.30 (step @p2660 :rule trans :premises (@p708 @p730 @p2659 @p2657 @p1465)) % 204.94/205.30 (step-pop @p5643 :rule scope :premises (@p2660)) % 204.94/205.30 (step-pop @p5644 :rule scope :premises (@p5643)) % 204.94/205.30 (step-pop @p5645 :rule scope :premises (@p5644)) % 204.94/205.30 (step-pop @p5646 :rule scope :premises (@p5645)) % 204.94/205.30 (step-pop @p5647 :rule scope :premises (@p5646)) % 204.94/205.30 (step-pop @p5648 :rule scope :premises (@p5647)) % 204.94/205.30 (step-pop @p5649 :rule scope :premises (@p5648)) % 204.94/205.30 (step-pop @p5650 :rule scope :premises (@p5649)) % 204.94/205.30 (step @p2661 :rule process_scope :premises (@p5650) :args (@t745)) % 204.94/205.30 (step @p2670 :rule and_intro :premises (@p1423 @p5630 @p830 @p5627 @p834 @p816 @p730 @p708)) % 204.94/205.30 (step @p2671 :rule modus_ponens :premises (@p2670 @p2661)) % 204.94/205.30 (step-pop @p5651 :rule scope :premises (@p2671)) % 204.94/205.30 (step-pop @p5652 :rule scope :premises (@p5651)) % 204.94/205.30 (step-pop @p5653 :rule scope :premises (@p5652)) % 204.94/205.30 (step-pop @p5654 :rule scope :premises (@p5653)) % 204.94/205.30 (step-pop @p5655 :rule scope :premises (@p5654)) % 204.94/205.30 (step-pop @p5656 :rule scope :premises (@p5655)) % 204.94/205.30 (step-pop @p5657 :rule scope :premises (@p5656)) % 204.94/205.30 (step-pop @p5658 :rule scope :premises (@p5657)) % 204.94/205.30 (step @p2672 :rule process_scope :premises (@p5658) :args (@t745)) % 204.94/205.30 (step @p2681 :rule implies_elim :premises (@p2672)) % 204.94/205.30 (step @p2682 :rule cnf_and_neg :args (@t760)) % 204.94/205.30 (step @p2683 :rule resolution :premises (@p2682 @p2681) :args (true @t760)) % 204.94/205.30 (step @p2684 :rule reordering :premises (@p2683) :args ((or @t745 @t523 @t633 @t518 @t762 @t761 @t516 @t514 @t513))) % 204.94/205.30 (assume-push @p5659 @t686) % 204.94/205.30 (assume-push @p5660 @t441) % 204.94/205.30 (assume-push @p5661 @t632) % 204.94/205.30 (assume-push @p5662 @t682) % 204.94/205.30 (assume-push @p5663 @t454) % 204.94/205.30 (assume-push @p5664 @t560) % 204.94/205.30 (assume-push @p5665 @t632) % 204.94/205.30 (assume-push @p5666 @t682) % 204.94/205.30 (assume-push @p5667 @t686) % 204.94/205.30 (assume-push @p5668 @t454) % 204.94/205.30 (assume-push @p5669 @t560) % 204.94/205.30 (assume-push @p5670 @t441) % 204.94/205.30 (step @p1465 :rule symm :premises (@p1423)) % 204.94/205.30 (step @p1064 :rule symm :premises (@p779)) % 204.94/205.30 (step @p2697 :rule trans :premises (@p1064 @p5659)) % 204.94/205.30 (step @p2698 :rule cong :premises (@p5662 @p2697) :args (@t566)) % 204.94/205.30 (step @p883 :rule refl :args (@t147)) % 204.94/205.30 (step @p2126 :rule cong :premises (@p883 @p779) :args (@t559)) % 204.94/205.30 (step @p2699 :rule trans :premises (@p721 @p979 @p2126 @p2698 @p1465)) % 204.94/205.30 (step-pop @p5671 :rule scope :premises (@p2699)) % 204.94/205.30 (step-pop @p5672 :rule scope :premises (@p5671)) % 204.94/205.30 (step-pop @p5673 :rule scope :premises (@p5672)) % 204.94/205.30 (step-pop @p5674 :rule scope :premises (@p5673)) % 204.94/205.30 (step-pop @p5675 :rule scope :premises (@p5674)) % 204.94/205.30 (step-pop @p5676 :rule scope :premises (@p5675)) % 204.94/205.30 (step @p2700 :rule process_scope :premises (@p5676) :args (@t756)) % 204.94/205.30 (step @p2707 :rule and_intro :premises (@p1423 @p5662 @p5659 @p779 @p979 @p721)) % 204.94/205.30 (step @p2708 :rule modus_ponens :premises (@p2707 @p2700)) % 204.94/205.30 (step-pop @p5677 :rule scope :premises (@p2708)) % 204.94/205.30 (step-pop @p5678 :rule scope :premises (@p5677)) % 204.94/205.30 (step-pop @p5679 :rule scope :premises (@p5678)) % 204.94/205.30 (step-pop @p5680 :rule scope :premises (@p5679)) % 204.94/205.30 (step-pop @p5681 :rule scope :premises (@p5680)) % 204.94/205.30 (step-pop @p5682 :rule scope :premises (@p5681)) % 204.94/205.30 (step @p2709 :rule process_scope :premises (@p5682) :args (@t756)) % 204.94/205.30 (step @p2716 :rule implies_elim :premises (@p2709)) % 204.94/205.30 (step @p2717 :rule cnf_and_neg :args (@t763)) % 204.94/205.30 (step @p2718 :rule resolution :premises (@p2717 @p2716) :args (true @t763)) % 204.94/205.30 (step @p2719 :rule reordering :premises (@p2718) :args ((or @t756 @t522 @t633 @t519 @t762 @t764 @t561))) % 204.94/205.30 (step @p2720 :rule cnf_or_pos :args (@t688)) % 204.94/205.30 (step @p2721 :rule reordering :premises (@p2720) :args ((or @t687 @t686 (not @t688)))) % 204.94/205.30 (step @p2722 :rule chain_m_resolution :premises (@p2721 @p2719 @p979 @p779 @p721 @p1423 @p2684 @p834 @p830 @p816 @p730 @p708 @p1423 @p2638 @p830 @p2583 @p999 @p2582 @p730 @p708 @p2581 @p2478 @p2471 @p837 @p834 @p1276 @p830 @p816 @p345 @p999 @p730 @p708 @p1422 @p1421 @p2313 @p837 @p834 @p1276 @p830 @p816 @p147 @p808 @p782 @p730 @p721 @p708 @p695 @p2399 @p837 @p834 @p1276 @p830 @p816 @p808 @p782 @p979 @p779 @p721 @p708 @p1220 @p2241 @p2470 @p147 @p292 @p2430 @p2428 @p141 @p2426 @p2424 @p147 @p2400 @p691 @p689 @p663 @p657 @p1942 @p1940 @p1928 @p1926 @p345 @p721 @p1895 @p345 @p495 @p490 @p435 @p433 @p1235 @p1233 @p431 @p429 @p1271 @p1264 @p1873 @p1871 @p1859 @p1857 @p428 @p1844 @p1272 @p1000 @p147 @p721 @p1811 @p1804 @p1791 @p345 @p179 @p1763 @p292 @p1742 @p1380 @p1378 @p290 @p288 @p275 @p273 @p260 @p258 @p242 @p240 @p214 @p212) :args (@t249 (@list true false false false false true false false false false false false true false true false false false false true true false false false false false false false false false false false false false false false false false false false false false false false false false true false false false false false false false false false false false false true true false true false false false true true false true false false false true false false false false false false false false false true false false false false false false false false false false false false true true false false false false false false true false true true true true false true false false false false false false false false false false) (@list @t686 @t560 @t454 @t441 @t632 @t687 @t485 @t481 @t496 @t490 @t435 @t632 @t756 @t481 @t751 @t531 @t754 @t490 @t435 @t745 @t741 @t743 @t500 @t485 @t587 @t481 @t496 @t322 @t531 @t490 @t435 @t635 @t613 @t291 @t500 @t485 @t587 @t481 @t496 @t219 @t469 @t494 @t490 @t441 @t435 @t426 @t393 @t500 @t485 @t587 @t481 @t496 @t469 @t494 @t560 @t454 @t441 @t435 @t497 @t556 @t712 @t219 @t245 @t731 @t732 @t733 @t729 @t725 @t219 @t708 @t427 @t428 @t384 @t387 @t361 @t698 @t695 @t692 @t322 @t441 @t690 @t322 @t386 @t389 @t354 @t349 @t570 @t575 @t355 @t356 @t572 @t584 @t688 @t689 @t682 @t683 @t351 @t583 @t592 @t554 @t219 @t441 @t673 @t677 @t328 @t322 @t235 @t667 @t245 @t629 @t260 @t261 @t288 @t289 @t284 @t285 @t279 @t280 @t272 @t273 @t262 @t263))) % 204.94/205.30 (step @p2723 :rule bool-double-not-elim :args (@t246)) % 204.94/205.30 (step @p2724 :rule bool-double-not-elim :args (@t248)) % 204.94/205.30 (step @p2725 :rule refl :args (@t250)) % 204.94/205.30 (step @p2726 :rule nary_cong :premises (@p2725 @p2724 @p2723) :args ((or @t250 @t765 (not @t247)))) % 204.94/205.30 (step @p2727 :rule cnf_and_neg :args (@t250)) % 204.94/205.30 (step @p2728 :rule eq_resolve :premises (@p2727 @p2726)) % 204.94/205.30 (step @p2729 :rule reordering :premises (@p2728) :args ((or @t248 @t246 @t250))) % 204.94/205.30 (step @p2730 :rule chain_m_resolution :premises (@p2729 @p2722 @p198) :args (@t246 @t239 (@list @t248 @t250))) % 204.94/205.30 (step @p2731 :rule chain_m_resolution :premises (@p2020 @p2730 @p185) :args (@t709 @t766 (@list @t246 @t240))) % 204.94/205.30 (step @p2732 :rule chain_m_resolution :premises (@p2424 @p2731 @p147) :args (@t726 @t226 (@list @t708 @t219))) % 204.94/205.30 (step @p2733 :rule chain_m_resolution :premises (@p2426 @p2732) :args (@t730 @t222 (@list @t725))) % 204.94/205.30 (step @p2734 :rule chain_m_resolution :premises (@p2428 @p2733 @p141) :args (@t732 @t226 (@list @t729 @t733))) % 204.94/205.30 (step @p2735 :rule cnf_and_pos :args (@t732 0)) % 204.94/205.30 (step @p2736 :rule reordering :premises (@p2735) :args ((or @t192 @t734))) % 204.94/205.30 (step @p2737 :rule chain_m_resolution :premises (@p2736 @p2734) :args (@t192 @t205 @t767)) % 204.94/205.30 (step @p2738 :rule 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@p2117)) % 0.35/205.30 (step @p4477 :rule cong :premises (@p167 @p4476) :args (@t988)) % 0.35/205.30 (step @p4478 :rule trans :premises (@p4477 @p4474)) % 0.35/205.30 (step @p4479 :rule false_elim :premises (@p4478)) % 0.35/205.30 (step-pop @p6461 :rule scope :premises (@p4479)) % 0.35/205.30 (step-pop @p6462 :rule scope :premises (@p6461)) % 0.35/205.30 (step-pop @p6463 :rule scope :premises (@p6462)) % 0.35/205.30 (step-pop @p6464 :rule scope :premises (@p6463)) % 0.35/205.30 (step-pop @p6465 :rule scope :premises (@p6464)) % 0.35/205.30 (step @p4480 :rule process_scope :premises (@p6465) :args (@t989)) % 0.35/205.30 (step @p4486 :rule and_intro :premises (@p6453 @p1009 @p6455 @p1011 @p6454)) % 0.35/205.30 (step @p4487 :rule modus_ponens :premises (@p4486 @p4480)) % 0.35/205.30 (step-pop @p6466 :rule scope :premises (@p4487)) % 0.35/205.30 (step-pop @p6467 :rule scope :premises (@p6466)) % 0.35/205.30 (step-pop @p6468 :rule scope :premises (@p6467)) % 0.35/205.30 (step-pop @p6469 :rule scope :premises (@p6468)) % 0.35/205.30 (step-pop @p6470 :rule scope :premises (@p6469)) % 0.35/205.30 (step @p4488 :rule process_scope :premises (@p6470) :args (@t989)) % 0.35/205.30 (step @p4494 :rule implies_elim :premises (@p4488)) % 0.35/205.30 (step @p4495 :rule cnf_and_neg :args (@t991)) % 0.35/205.30 (step @p4496 :rule resolution :premises (@p4495 @p4494) :args (true @t991)) % 0.35/205.30 (step @p4497 :rule eq_resolve :premises (@p4496 @p4463)) % 0.35/205.30 (step @p4498 :rule chain_m_resolution :premises (@p4497 @p1009 @p1011 @p3690 @p4459 @p3723) :args (@t989 (@list false false true false false) (@list @t539 @t547 @t896 @t986 @t914))) % 0.35/205.30 (step @p4499 :rule cnf_and_pos :args (@t992 1)) % 0.35/205.30 (step @p4500 :rule reordering :premises (@p4499) :args ((or @t988 @t993))) % 0.35/205.30 (step @p4501 :rule chain_m_resolution :premises (@p4500 @p4498) :args (@t993 @t222 (@list @t988))) % 0.35/205.30 (step @p4502 :rule chain_m_resolution :premises (@p4241 @p3720) :args (@t910 @t205 @t918)) % 0.35/205.30 (step @p4503 :rule chain_m_resolution :premises (@p4277 @p4212 @p4100 @p4269 @p4502) :args (@t978 (@list false true true false) (@list @t961 @t952 @t968 @t910))) % 0.35/205.30 (step @p4504 :rule refl :args (@t994)) % 0.35/205.30 (step @p4505 :rule bool-double-not-elim :args (@t967)) % 0.35/205.30 (step @p4506 :rule nary_cong :premises (@p1743 @p1031 @p1019 @p1014 @p3611 @p3609 @p4505 @p3608 @p4461 @p4504) :args ((or @t668 @t563 @t542 @t548 @t901 @t895 (not @t978) @t191 @t980 @t994))) % 0.35/205.30 (assume-push @p6471 @t978) % 0.35/205.30 (assume-push @p6472 @t914) % 0.35/205.30 (assume-push @p6473 @t894) % 0.35/205.30 (assume-push @p6474 @t526) % 0.35/205.30 (assume-push @p6475 @t547) % 0.35/205.30 (assume-push @p6476 @t982) % 0.35/205.30 (assume-push @p6477 @t539) % 0.35/205.30 (assume-push @p6478 @t667) % 0.35/205.30 (assume-push @p6479 @t900) % 0.35/205.30 (assume-push @p6480 @t190) % 0.35/205.30 (step @p2997 :rule evaluate :args (@t817)) % 0.35/205.30 (step @p4517 :rule false_intro :premises (@p6471)) % 0.35/205.30 (step @p4518 :rule symm :premises (@p6472)) % 0.35/205.30 (step @p3628 :rule symm :premises (@p2779)) % 0.35/205.30 (step @p2118 :rule symm :premises (@p1011)) % 0.35/205.30 (step @p883 :rule refl :args (@t147)) % 0.35/205.30 (step @p2117 :rule symm :premises (@p1009)) % 0.35/205.30 (step @p4519 :rule trans :premises (@p2118 @p6472 @p2117)) % 0.35/205.30 (step @p4520 :rule trans :premises (@p4519 @p6476)) % 0.35/205.30 (step @p4521 :rule cong :premises (@p4520 @p883) :args ((tptp.impl @t546 @t147))) % 0.35/205.30 (step @p4522 :rule symm :premises (@p4519)) % 0.35/205.30 (step @p1107 :rule symm :premises (@p974)) % 0.35/205.30 (step @p4523 :rule symm :premises (@p6478)) % 0.35/205.30 (step @p4524 :rule cong :premises (@p4523) :args (@t752)) % 0.35/205.30 (step @p4525 :rule trans :premises (@p4524 @p1107)) % 0.35/205.30 (step @p4526 :rule cong :premises (@p4525 @p2118) :args (@t903)) % 0.35/205.30 (step @p4527 :rule trans :premises (@p4526 @p3628 @p2117)) % 0.35/205.30 (step @p4528 :rule trans :premises (@p4527 @p4522)) % 0.35/205.30 (step @p4529 :rule cong :premises (@p4528 @p883) :args (@t904)) % 0.35/205.30 (step @p4530 :rule symm :premises (@p4527)) % 0.35/205.30 (step @p4531 :rule cong :premises (@p4530 @p883) :args (@t898)) % 0.35/205.30 (step @p4532 :rule trans :premises (@p4531 @p4529 @p4521 @p2118)) % 0.35/205.30 (step @p4533 :rule cong :premises (@p1107 @p4532) :args (@t899)) % 0.35/205.30 (step @p4534 :rule trans :premises (@p2780 @p4533 @p3628 @p4518)) % 0.35/205.30 (step @p4535 :rule cong :premises (@p4534) :args (@t190)) % 0.35/205.30 (step @p4536 :rule true_intro :premises (@p6480)) % 0.35/205.30 (step @p4537 :rule symm :premises (@p4536)) % 0.35/205.30 (step @p4538 :rule trans :premises (@p4537 @p4535 @p4517)) % 0.35/205.30 (step @p4539 false :rule eq_resolve :premises (@p4538 @p2997)) % 0.35/205.30 (step-pop @p6481 :rule scope :premises (@p4539)) % 0.35/205.30 (step-pop @p6482 :rule scope :premises (@p6481)) % 0.35/205.30 (step-pop @p6483 :rule scope :premises (@p6482)) % 0.35/205.30 (step-pop @p6484 :rule scope :premises (@p6483)) % 0.35/205.30 (step-pop @p6485 :rule scope :premises (@p6484)) % 0.35/205.30 (step-pop @p6486 :rule scope :premises (@p6485)) % 0.35/205.30 (step-pop @p6487 :rule scope :premises (@p6486)) % 0.35/205.30 (step-pop @p6488 :rule scope :premises (@p6487)) % 0.35/205.30 (step-pop @p6489 :rule scope :premises (@p6488)) % 0.35/205.30 (step-pop @p6490 :rule scope :premises (@p6489)) % 0.35/205.30 (step @p4540 :rule process_scope :premises (@p6490) :args (false)) % 0.35/205.30 (assume-push @p6491 @t667) % 0.35/205.30 (assume-push @p6492 @t526) % 0.35/205.30 (assume-push @p6493 @t539) % 0.35/205.30 (assume-push @p6494 @t547) % 0.35/205.30 (assume-push @p6495 @t900) % 0.35/205.30 (assume-push @p6496 @t894) % 0.35/205.30 (assume-push @p6497 @t978) % 0.35/205.30 (assume-push @p6498 @t190) % 0.35/205.30 (assume-push @p6499 @t914) % 0.35/205.30 (assume-push @p6500 @t982) % 0.35/205.30 (step @p4561 :rule and_intro :premises (@p6497 @p6499 @p2779 @p974 @p1011 @p6500 @p1009 @p6491 @p2780 @p6498)) % 0.35/205.30 (step-pop @p6501 :rule scope :premises (@p4561)) % 0.35/205.30 (step-pop @p6502 :rule scope :premises (@p6501)) % 0.35/205.30 (step-pop @p6503 :rule scope :premises (@p6502)) % 0.35/205.30 (step-pop @p6504 :rule scope :premises (@p6503)) % 0.35/205.30 (step-pop @p6505 :rule scope :premises (@p6504)) % 0.35/205.30 (step-pop @p6506 :rule scope :premises (@p6505)) % 0.35/205.30 (step-pop @p6507 :rule scope :premises (@p6506)) % 0.35/205.30 (step-pop @p6508 :rule scope :premises (@p6507)) % 0.35/205.30 (step-pop @p6509 :rule scope :premises (@p6508)) % 0.35/205.30 (step-pop @p6510 :rule scope :premises (@p6509)) % 0.35/205.30 (step @p4562 :rule process_scope :premises (@p6510) :args (@t995)) % 0.35/205.30 (step @p4573 :rule implies_elim :premises (@p4562)) % 0.35/205.30 (step @p4574 :rule resolution :premises (@p4573 @p4540) :args (true @t995)) % 0.35/205.30 (step @p4575 :rule not_and :premises (@p4574)) % 0.35/205.30 (step @p4576 :rule eq_resolve :premises (@p4575 @p4506)) % 0.35/205.30 (step @p4577 :rule chain_m_resolution :premises (@p4576 @p3607 @p974 @p1009 @p1011 @p2780 @p2779 @p4503 @p2778 @p3723) :args (@t994 (@list false false false false false false true false false) (@list @t667 @t526 @t539 @t547 @t900 @t894 @t967 @t190 @t914))) % 0.35/205.30 (step @p4578 :rule refl :args (@t997)) % 0.35/205.30 (step @p4579 :rule bool-double-not-elim :args (@t982)) % 0.35/205.30 (step @p4580 :rule nary_cong :premises (@p1019 @p1014 @p4462 @p4461 @p4579 @p4578) :args ((or @t542 @t548 @t990 @t980 (not @t994) @t997))) % 0.35/205.30 (assume-push @p6511 @t539) % 0.35/205.30 (assume-push @p6512 @t547) % 0.35/205.30 (assume-push @p6513 @t986) % 0.35/205.30 (assume-push @p6514 @t914) % 0.35/205.30 (assume-push @p6515 @t994) % 0.35/205.30 (assume-push @p6516 @t539) % 0.35/205.30 (assume-push @p6517 @t914) % 0.35/205.30 (assume-push @p6518 @t547) % 0.35/205.30 (assume-push @p6519 @t986) % 0.35/205.30 (assume-push @p6520 @t994) % 0.35/205.30 (step @p4591 :rule bool-eq-false :args (@t996)) % 0.35/205.30 (step @p4592 :rule symm :premises (@p4591)) % 0.35/205.30 (step @p4593 :rule eq-symm :args (@t985 @t166)) % 0.35/205.30 (step @p4594 :rule cong :premises (@p4593) :args ((not @t998))) % 0.35/205.30 (step @p4595 :rule bool-eq-false :args (@t998)) % 0.35/205.30 (step @p4596 :rule trans :premises (@p4595 @p4594)) % 0.35/205.30 (step @p4597 :rule trans :premises (@p4596 @p4592)) % 0.35/205.30 (step @p4598 :rule false_intro :premises (@p6515)) % 0.35/205.30 (step @p4599 :rule refl :args (@t166)) % 0.35/205.30 (step @p2117 :rule symm :premises (@p1009)) % 0.35/205.30 (step @p2118 :rule symm :premises (@p1011)) % 0.35/205.30 (step @p4600 :rule symm :premises (@p6513)) % 0.35/205.30 (step @p4601 :rule trans :premises (@p4600 @p2118 @p6514 @p2117)) % 0.35/205.30 (step @p4602 :rule cong :premises (@p4601 @p4599) :args (@t998)) % 0.35/205.30 (step @p4603 :rule trans :premises (@p4602 @p4598)) % 0.35/205.30 (step @p4604 :rule eq_resolve :premises (@p4603 @p4597)) % 0.35/205.30 (step @p4605 :rule false_elim :premises (@p4604)) % 0.35/205.30 (step-pop @p6521 :rule scope :premises (@p4605)) % 0.35/205.30 (step-pop @p6522 :rule scope :premises (@p6521)) % 0.35/205.30 (step-pop @p6523 :rule scope :premises (@p6522)) % 0.35/205.30 (step-pop @p6524 :rule scope :premises (@p6523)) % 0.35/205.30 (step-pop @p6525 :rule scope :premises (@p6524)) % 0.35/205.30 (step @p4606 :rule process_scope :premises (@p6525) :args (@t997)) % 0.35/205.30 (step @p4612 :rule and_intro :premises (@p1009 @p6514 @p1011 @p6513 @p6515)) % 0.35/205.30 (step @p4613 :rule modus_ponens :premises (@p4612 @p4606)) % 0.35/205.30 (step-pop @p6526 :rule scope :premises (@p4613)) % 0.35/205.30 (step-pop @p6527 :rule scope :premises (@p6526)) % 0.35/205.30 (step-pop @p6528 :rule scope :premises (@p6527)) % 0.35/205.30 (step-pop @p6529 :rule scope :premises (@p6528)) % 0.35/205.30 (step-pop @p6530 :rule scope :premises (@p6529)) % 0.35/205.30 (step @p4614 :rule process_scope :premises (@p6530) :args (@t997)) % 0.35/205.30 (step @p4620 :rule implies_elim :premises (@p4614)) % 0.35/205.30 (step @p4621 :rule cnf_and_neg :args (@t999)) % 0.35/205.30 (step @p4622 :rule resolution :premises (@p4621 @p4620) :args (true @t999)) % 0.35/205.30 (step @p4623 :rule eq_resolve :premises (@p4622 @p4580)) % 0.35/205.30 (step @p4624 :rule chain_m_resolution :premises (@p4623 @p1009 @p1011 @p4459 @p3723 @p4577) :args (@t997 @t959 (@list @t539 @t547 @t986 @t914 @t982))) % 0.35/205.30 (step @p4625 :rule cnf_and_pos :args (@t1000 1)) % 0.35/205.30 (step @p4626 :rule reordering :premises (@p4625) :args ((or @t996 @t1001))) % 0.35/205.30 (step @p4627 :rule chain_m_resolution :premises (@p4626 @p4624) :args (@t1001 @t222 (@list @t996))) % 0.35/205.30 (step @p4628 :rule cnf_or_pos :args (@t1002)) % 0.35/205.30 (step @p4629 :rule reordering :premises (@p4628) :args ((or @t1000 @t992 (not @t1002)))) % 0.35/205.30 (step @p4630 false :rule chain_m_resolution :premises (@p4629 @p4627 @p4501 @p56) :args (false (@list true true false) (@list @t1000 @t992 @t1002))) % 0.35/205.30 ) % 0.35/205.30 % SZS output end Proof % 0.35/205.30 % cvc5 exiting %------------------------------------------------------------------------------