%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWW100+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 : n005.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 203.69s 204.06s % Output : Proof 203.69s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWW100+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 % 0.16/0.34 % Computer : n005.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 21:37:03 EDT 2026 % 0.16/0.34 % CPUTime : % 0.28/0.50 %----Proving TF0_NAR, FOF, or CNF % 203.69/204.06 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 203.69/204.06 --- Run --no-e-matching --full-saturate-quant at 6... % 203.69/204.06 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 203.69/204.06 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 203.69/204.06 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 203.69/204.06 --- Run --trigger-sel=max --full-saturate-quant at 15... % 203.69/204.06 --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 33... % 203.69/204.06 --- Run --multi-trigger-cache --full-saturate-quant at 15... % 203.69/204.06 --- Run --prenex-quant=none --full-saturate-quant at 30... % 203.69/204.06 --- Run --enum-inst-interleave --decision=internal --full-saturate-quant at 15... % 203.69/204.06 --- Run --relevant-triggers --full-saturate-quant at 30... % 203.69/204.06 --- Run --finite-model-find --e-matching --sort-inference --uf-ss-fair at 15... % 203.69/204.06 % SZS status Theorem % 203.69/204.06 % SZS output start Proof % 203.69/204.06 ( % 203.69/204.06 (declare-sort $$unsorted 0) % 203.69/204.06 (declare-const tptp.not1 (-> $$unsorted $$unsorted)) % 203.69/204.06 (declare-const tptp.f1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 203.69/204.06 (declare-const tptp.f7 (-> $$unsorted $$unsorted)) % 203.69/204.06 (declare-const tptp.and1 (-> $$unsorted $$unsorted $$unsorted)) % 203.69/204.06 (declare-const tptp.impl (-> $$unsorted $$unsorted $$unsorted)) % 203.69/204.06 (declare-const tptp.lazy_impl (-> $$unsorted $$unsorted $$unsorted)) % 203.69/204.06 (declare-const tptp.bool (-> $$unsorted Bool)) % 203.69/204.06 (declare-const tptp.true $$unsorted) % 203.69/204.06 (declare-const tptp.existsprefers (-> $$unsorted $$unsorted Bool)) % 203.69/204.06 (declare-const tptp.exists1 (-> $$unsorted $$unsorted)) % 203.69/204.06 (declare-const tptp.not2 (-> $$unsorted $$unsorted)) % 203.69/204.06 (declare-const tptp.prop (-> $$unsorted $$unsorted)) % 203.69/204.06 (declare-const tptp.forallprefers (-> $$unsorted $$unsorted Bool)) % 203.69/204.06 (declare-const tptp.or2 (-> $$unsorted $$unsorted $$unsorted)) % 203.69/204.06 (declare-const tptp.d (-> $$unsorted Bool)) % 203.69/204.06 (declare-const tptp.false $$unsorted) % 203.69/204.06 (declare-const tptp.and2 (-> $$unsorted $$unsorted $$unsorted)) % 203.69/204.06 (declare-const tptp.lazy_and1 (-> $$unsorted $$unsorted $$unsorted)) % 203.69/204.06 (declare-const tptp.or1 (-> $$unsorted $$unsorted $$unsorted)) % 203.69/204.06 (declare-const tptp.f2 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 203.69/204.06 (declare-const tptp.err $$unsorted) % 203.69/204.06 (declare-const tptp.f6 (-> $$unsorted $$unsorted $$unsorted)) % 203.69/204.06 (declare-const tptp.phi (-> $$unsorted $$unsorted)) % 203.69/204.06 (declare-const tptp.lazy_and2 (-> $$unsorted $$unsorted $$unsorted)) % 203.69/204.06 (declare-const tptp.false2 $$unsorted) % 203.69/204.06 (declare-const tptp.apply (-> $$unsorted $$unsorted $$unsorted)) % 203.69/204.06 (declare-const tptp.f4 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 203.69/204.06 (declare-const tptp.f5 (-> $$unsorted $$unsorted $$unsorted)) % 203.69/204.06 (declare-const tptp.false1 $$unsorted) % 203.69/204.06 (declare-const tptp.f3 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 203.69/204.06 (declare-const tptp.exists2 (-> $$unsorted $$unsorted)) % 203.69/204.06 (define @t1 () (@var "X" $$unsorted)) % 203.69/204.06 (define @t2 () (= @t1 tptp.true)) % 203.69/204.06 (define @t3 () (= @t1 tptp.false)) % 203.69/204.06 (define @t4 () (or @t3 @t2)) % 203.69/204.06 (define @t5 () (tptp.bool @t1)) % 203.69/204.06 (define @t6 () (= @t5 @t4)) % 203.69/204.06 (define @t7 () (@list @t1)) % 203.69/204.06 (define @t8 () (forall @t7 @t6)) % 203.69/204.06 (define @t9 () (= tptp.false tptp.err)) % 203.69/204.06 (define @t10 () (not @t9)) % 203.69/204.06 (define @t11 () (= tptp.true tptp.err)) % 203.69/204.06 (define @t12 () (not @t11)) % 203.69/204.06 (define @t13 () (not (= tptp.true tptp.false))) % 203.69/204.06 (define @t14 () (tptp.d tptp.err)) % 203.69/204.06 (define @t15 () (tptp.d tptp.false)) % 203.69/204.06 (define @t16 () (tptp.d tptp.true)) % 203.69/204.06 (define @t17 () (@var "Y" $$unsorted)) % 203.69/204.06 (define @t18 () (and @t3 (= @t17 tptp.true))) % 203.69/204.06 (define @t19 () (not @t5)) % 203.69/204.06 (define @t20 () (tptp.d @t17)) % 203.69/204.06 (define @t21 () (tptp.d @t1)) % 203.69/204.06 (define @t22 () (and @t21 @t20 @t19 (tptp.bool @t17))) % 203.69/204.06 (define @t23 () (not @t21)) % 203.69/204.06 (define @t24 () (and @t23 @t20)) % 203.69/204.06 (define @t25 () (or @t24 @t22 @t18)) % 203.69/204.06 (define @t26 () (tptp.forallprefers @t1 @t17)) % 203.69/204.06 (define @t27 () (= @t26 @t25)) % 203.69/204.06 (define @t28 () (@list @t1 @t17)) % 203.69/204.06 (define @t29 () (forall @t28 @t27)) % 203.69/204.06 (define @t30 () (and @t2 (= @t17 tptp.false))) % 203.69/204.06 (define @t31 () (or @t24 @t22 @t30)) % 203.69/204.06 (define @t32 () (tptp.existsprefers @t1 @t17)) % 203.69/204.06 (define @t33 () (= @t32 @t31)) % 203.69/204.06 (define @t34 () (forall @t28 @t33)) % 203.69/204.06 (define @t35 () (tptp.phi @t1)) % 203.69/204.06 (define @t36 () (and @t23 (= @t35 tptp.err))) % 203.69/204.06 (define @t37 () (and @t21 (= @t35 @t1))) % 203.69/204.06 (define @t38 () (or @t37 @t36)) % 203.69/204.06 (define @t39 () (forall @t7 @t38)) % 203.69/204.06 (define @t40 () (tptp.prop @t1)) % 203.69/204.06 (define @t41 () (= @t40 tptp.true)) % 203.69/204.06 (define @t42 () (forall @t7 (= @t41 @t5))) % 203.69/204.06 (define @t43 () (= @t40 tptp.false)) % 203.69/204.06 (define @t44 () (forall @t7 (= @t43 @t19))) % 203.69/204.06 (define @t45 () (@var "A" $$unsorted)) % 203.69/204.06 (define @t46 () (tptp.phi @t45)) % 203.69/204.06 (define @t47 () (@var "B" $$unsorted)) % 203.69/204.06 (define @t48 () (tptp.impl @t45 @t47)) % 203.69/204.06 (define @t49 () (= @t48 @t46)) % 203.69/204.06 (define @t50 () (tptp.bool @t45)) % 203.69/204.06 (define @t51 () (not @t50)) % 203.69/204.06 (define @t52 () (@list @t45 @t47)) % 203.69/204.06 (define @t53 () (forall @t52 (=> @t51 @t49))) % 203.69/204.06 (define @t54 () (tptp.phi @t47)) % 203.69/204.06 (define @t55 () (= @t48 @t54)) % 203.69/204.06 (define @t56 () (tptp.bool @t47)) % 203.69/204.06 (define @t57 () (not @t56)) % 203.69/204.06 (define @t58 () (and @t50 @t57)) % 203.69/204.06 (define @t59 () (forall @t52 (=> @t58 @t55))) % 203.69/204.06 (define @t60 () (tptp.impl tptp.false @t47)) % 203.69/204.06 (define @t61 () (=> @t56 (= @t60 tptp.true))) % 203.69/204.06 (define @t62 () (@list @t47)) % 203.69/204.06 (define @t63 () (forall @t62 @t61)) % 203.69/204.06 (define @t64 () (tptp.impl tptp.true @t47)) % 203.69/204.06 (define @t65 () (=> @t56 (= @t64 @t47))) % 203.69/204.06 (define @t66 () (forall @t62 @t65)) % 203.69/204.06 (define @t67 () (tptp.lazy_impl tptp.false @t47)) % 203.69/204.06 (define @t68 () (forall @t62 (= @t67 tptp.true))) % 203.69/204.06 (define @t69 () (tptp.lazy_impl tptp.true @t47)) % 203.69/204.06 (define @t70 () (forall @t62 (= @t69 @t54))) % 203.69/204.06 (define @t71 () (tptp.and1 @t45 @t47)) % 203.69/204.06 (define @t72 () (@var "R" $$unsorted)) % 203.69/204.06 (define @t73 () (@var "Q" $$unsorted)) % 203.69/204.06 (define @t74 () (tptp.impl @t73 @t72)) % 203.69/204.06 (define @t75 () (@var "P" $$unsorted)) % 203.69/204.06 (define @t76 () (tptp.prop @t72)) % 203.69/204.06 (define @t77 () (tptp.f1 @t75 @t73 @t72)) % 203.69/204.06 (define @t78 () (@list @t75 @t73 @t72)) % 203.69/204.06 (define @t79 () (@var "R1" $$unsorted)) % 203.69/204.06 (define @t80 () (@list @t79)) % 203.69/204.06 (define @t81 () (@list @t72)) % 203.69/204.06 (define @t82 () (@list @t75 @t73)) % 203.69/204.06 (define @t83 () (tptp.f2 @t75 @t73 @t72)) % 203.69/204.06 (define @t84 () (tptp.or1 @t45 @t47)) % 203.69/204.06 (define @t85 () (tptp.f3 @t75 @t73 @t72)) % 203.69/204.06 (define @t86 () (tptp.apply @t75 @t1)) % 203.69/204.06 (define @t87 () (@var "X1" $$unsorted)) % 203.69/204.06 (define @t88 () (tptp.apply @t75 @t87)) % 203.69/204.06 (define @t89 () (tptp.existsprefers @t88 @t86)) % 203.69/204.06 (define @t90 () (@list @t87)) % 203.69/204.06 (define @t91 () (exists @t90 @t89)) % 203.69/204.06 (define @t92 () (not @t91)) % 203.69/204.06 (define @t93 () (tptp.exists1 @t75)) % 203.69/204.06 (define @t94 () (= @t93 (tptp.phi @t86))) % 203.69/204.06 (define @t95 () (and @t94 @t92)) % 203.69/204.06 (define @t96 () (exists @t7 @t95)) % 203.69/204.06 (define @t97 () (@list @t75)) % 203.69/204.06 (define @t98 () (forall @t97 @t96)) % 203.69/204.06 (define @t99 () (tptp.f4 @t75 @t1 @t72)) % 203.69/204.06 (define @t100 () (forall (@list @t75 @t1 @t72) (= @t99 (tptp.impl @t86 @t72)))) % 203.69/204.06 (define @t101 () (tptp.forallprefers (tptp.f4 @t75 @t87 @t72) @t99)) % 203.69/204.06 (define @t102 () (exists @t90 @t101)) % 203.69/204.06 (define @t103 () (not @t102)) % 203.69/204.06 (define @t104 () (tptp.f5 @t75 @t72)) % 203.69/204.06 (define @t105 () (= @t104 (tptp.phi @t99))) % 203.69/204.06 (define @t106 () (and @t105 @t103)) % 203.69/204.06 (define @t107 () (exists @t7 @t106)) % 203.69/204.06 (define @t108 () (@list @t75 @t72)) % 203.69/204.06 (define @t109 () (forall @t108 @t107)) % 203.69/204.06 (define @t110 () (tptp.f6 @t75 @t72)) % 203.69/204.06 (define @t111 () (forall @t108 (= @t110 (tptp.lazy_impl @t76 (tptp.impl @t104 @t72))))) % 203.69/204.06 (define @t112 () (tptp.forallprefers (tptp.f6 @t75 @t79) @t110)) % 203.69/204.06 (define @t113 () (exists @t80 @t112)) % 203.69/204.06 (define @t114 () (not @t113)) % 203.69/204.06 (define @t115 () (tptp.exists2 @t75)) % 203.69/204.06 (define @t116 () (= @t115 (tptp.phi @t110))) % 203.69/204.06 (define @t117 () (and @t116 @t114)) % 203.69/204.06 (define @t118 () (exists @t81 @t117)) % 203.69/204.06 (define @t119 () (forall @t97 @t118)) % 203.69/204.06 (define @t120 () (tptp.f7 @t75)) % 203.69/204.06 (define @t121 () (@var "P1" $$unsorted)) % 203.69/204.06 (define @t122 () (tptp.f7 @t121)) % 203.69/204.06 (define @t123 () (tptp.forallprefers @t122 @t120)) % 203.69/204.06 (define @t124 () (@list @t121)) % 203.69/204.06 (define @t125 () (exists @t124 @t123)) % 203.69/204.06 (define @t126 () (not @t125)) % 203.69/204.06 (define @t127 () (= tptp.false2 (tptp.phi @t120))) % 203.69/204.06 (define @t128 () (and @t127 @t126)) % 203.69/204.06 (define @t129 () (exists @t97 @t128)) % 203.69/204.06 (define @t130 () (tptp.not1 @t45)) % 203.69/204.06 (define @t131 () (=> @t51 (= @t130 @t46))) % 203.69/204.06 (define @t132 () (@list @t45)) % 203.69/204.06 (define @t133 () (forall @t132 @t131)) % 203.69/204.06 (define @t134 () (tptp.not1 tptp.false)) % 203.69/204.06 (define @t135 () (tptp.not1 tptp.true)) % 203.69/204.06 (define @t136 () (= @t93 @t115)) % 203.69/204.06 (define @t137 () (@var "X2" $$unsorted)) % 203.69/204.06 (define @t138 () (tptp.apply @t75 @t137)) % 203.69/204.06 (define @t139 () (= @t88 @t138)) % 203.69/204.06 (define @t140 () (tptp.bool @t138)) % 203.69/204.06 (define @t141 () (not @t140)) % 203.69/204.06 (define @t142 () (tptp.bool @t88)) % 203.69/204.06 (define @t143 () (not @t142)) % 203.69/204.06 (define @t144 () (and @t143 @t141)) % 203.69/204.06 (define @t145 () (@list @t87 @t137)) % 203.69/204.06 (define @t146 () (forall @t145 (=> @t144 @t139))) % 203.69/204.06 (define @t147 () (=> @t146 @t136)) % 203.69/204.06 (define @t148 () (forall @t97 @t147)) % 203.69/204.06 (define @t149 () (not @t148)) % 203.69/204.06 (define @t150 () (tptp.not1 tptp.false1)) % 203.69/204.06 (define @t151 () (= @t150 @t1)) % 203.69/204.06 (define @t152 () (= tptp.false1 @t1)) % 203.69/204.06 (define @t153 () (or @t152 @t151)) % 203.69/204.06 (define @t154 () (= @t5 @t153)) % 203.69/204.06 (define @t155 () (= tptp.true @t1)) % 203.69/204.06 (define @t156 () (= tptp.false @t1)) % 203.69/204.06 (define @t157 () (or @t156 @t155)) % 203.69/204.06 (define @t158 () (= @t5 @t157)) % 203.69/204.06 (define @t159 () (@var "b_X" it_107_$$unsorted)) % 203.69/204.06 (define @t160 () (@var "b_P" it_106_$$unsorted)) % 203.69/204.06 (define @t161 () (@const 0 (-> it_106_$$unsorted $$unsorted))) % 203.69/204.06 (define @t162 () (@const 1 (-> it_106_$$unsorted $$unsorted))) % 203.69/204.06 (define @t163 () (@var "b_X2" it_107_$$unsorted)) % 203.69/204.06 (define @t164 () (@const 2 (-> it_106_$$unsorted it_107_$$unsorted $$unsorted))) % 203.69/204.06 (define @t165 () (_ @t164 @t160 @t163)) % 203.69/204.06 (define @t166 () (@var "b_X1" it_107_$$unsorted)) % 203.69/204.06 (define @t167 () (_ @t164 @t160 @t166)) % 203.69/204.06 (define @t168 () (@list @t166 @t163)) % 203.69/204.06 (define @t169 () (forall (@list @t160) (or (not (forall @t168 (or (tptp.bool @t167) (tptp.bool @t165) (= @t167 @t165)))) (= (_ @t162 @t160) (_ @t161 @t160))))) % 203.69/204.06 (define @t170 () (@quantifiers_skolemize @t169 0)) % 203.69/204.06 (define @t171 () (@const 3 (-> it_106_$$unsorted it_107_$$unsorted $$unsorted $$unsorted))) % 203.69/204.06 (define @t172 () (_ @t171 @t170 @t159 tptp.false1)) % 203.69/204.06 (define @t173 () (@var "b_X1" it_107_$$unsorted)) % 203.69/204.06 (define @t174 () (_ @t171 @t170 @t173 tptp.false1)) % 203.69/204.06 (define @t175 () (@list @t173)) % 203.69/204.06 (define @t176 () (@const 4 (-> it_106_$$unsorted $$unsorted $$unsorted))) % 203.69/204.06 (define @t177 () (_ @t176 @t170 tptp.false1)) % 203.69/204.06 (define @t178 () (@list @t159)) % 203.69/204.06 (define @t179 () (@quantifiers_skolemize (forall @t178 (or (not (= @t177 (tptp.phi @t172))) (not (forall @t175 (not (tptp.forallprefers @t174 @t172)))))) 0)) % 203.69/204.06 (define @t180 () (_ @t171 @t170 @t179 @t150)) % 203.69/204.06 (define @t181 () (= @t180 tptp.false1)) % 203.69/204.06 (define @t182 () (or @t181 (= @t180 @t150))) % 203.69/204.06 (define @t183 () (tptp.bool @t180)) % 203.69/204.06 (define @t184 () (= @t183 @t182)) % 203.69/204.06 (define @t185 () (= @t1 @t150)) % 203.69/204.06 (define @t186 () (= @t1 tptp.false1)) % 203.69/204.06 (define @t187 () (forall @t7 (= @t5 (or @t186 @t185)))) % 203.69/204.06 (define @t188 () (= @t150 @t180)) % 203.69/204.06 (define @t189 () (= tptp.false1 @t180)) % 203.69/204.06 (define @t190 () (or @t189 @t188)) % 203.69/204.06 (define @t191 () (= @t183 @t190)) % 203.69/204.06 (define @t192 () (@list false)) % 203.69/204.06 (define @t193 () (@list @t187)) % 203.69/204.06 (define @t194 () (_ @t171 @t170 @t159 @t150)) % 203.69/204.06 (define @t195 () (_ @t171 @t170 @t173 @t150)) % 203.69/204.06 (define @t196 () (_ @t176 @t170 @t150)) % 203.69/204.06 (define @t197 () (@quantifiers_skolemize (forall @t178 (or (not (= @t196 (tptp.phi @t194))) (not (forall @t175 (not (tptp.forallprefers @t195 @t194)))))) 0)) % 203.69/204.06 (define @t198 () (_ @t164 @t170 @t197)) % 203.69/204.06 (define @t199 () (= @t198 @t150)) % 203.69/204.06 (define @t200 () (or (= @t198 tptp.false1) @t199)) % 203.69/204.06 (define @t201 () (tptp.bool @t198)) % 203.69/204.06 (define @t202 () (= @t201 @t200)) % 203.69/204.06 (define @t203 () (= @t150 @t198)) % 203.69/204.06 (define @t204 () (= tptp.false1 @t198)) % 203.69/204.06 (define @t205 () (or @t204 @t203)) % 203.69/204.06 (define @t206 () (= @t201 @t205)) % 203.69/204.06 (define @t207 () (and @t152 (= @t150 @t17))) % 203.69/204.06 (define @t208 () (or @t24 @t22 @t207)) % 203.69/204.06 (define @t209 () (= @t26 @t208)) % 203.69/204.06 (define @t210 () (= tptp.true @t17)) % 203.69/204.06 (define @t211 () (and @t156 @t210)) % 203.69/204.06 (define @t212 () (or @t24 @t22 @t211)) % 203.69/204.06 (define @t213 () (= @t26 @t212)) % 203.69/204.06 (define @t214 () (@const 5 (-> it_106_$$unsorted $$unsorted $$unsorted))) % 203.69/204.06 (define @t215 () (_ @t214 @t170 @t72)) % 203.69/204.06 (define @t216 () (_ @t214 @t170 @t79)) % 203.69/204.06 (define @t217 () (_ @t161 @t170)) % 203.69/204.06 (define @t218 () (forall @t81 (or (not (= @t217 (tptp.phi @t215))) (not (forall @t80 (not (tptp.forallprefers @t216 @t215))))))) % 203.69/204.06 (define @t219 () (@quantifiers_skolemize @t218 0)) % 203.69/204.06 (define @t220 () (_ @t214 @t170 @t219)) % 203.69/204.06 (define @t221 () (_ @t214 @t170 @t150)) % 203.69/204.06 (define @t222 () (= @t220 @t150)) % 203.69/204.06 (define @t223 () (and (= @t221 tptp.false1) @t222)) % 203.69/204.06 (define @t224 () (tptp.bool @t220)) % 203.69/204.06 (define @t225 () (tptp.bool @t221)) % 203.69/204.06 (define @t226 () (not @t225)) % 203.69/204.06 (define @t227 () (tptp.d @t220)) % 203.69/204.06 (define @t228 () (tptp.d @t221)) % 203.69/204.06 (define @t229 () (and @t228 @t227 @t226 @t224)) % 203.69/204.06 (define @t230 () (not @t228)) % 203.69/204.06 (define @t231 () (and @t230 @t227)) % 203.69/204.06 (define @t232 () (or @t231 @t229 @t223)) % 203.69/204.06 (define @t233 () (tptp.forallprefers @t221 @t220)) % 203.69/204.06 (define @t234 () (= @t233 @t232)) % 203.69/204.06 (define @t235 () (forall @t28 (= @t26 (or @t24 @t22 (and @t186 (= @t17 @t150)))))) % 203.69/204.06 (define @t236 () (= @t150 @t220)) % 203.69/204.06 (define @t237 () (or @t231 @t229 (and (= tptp.false1 @t221) @t236))) % 203.69/204.06 (define @t238 () (= @t233 @t237)) % 203.69/204.06 (define @t239 () (@list @t235)) % 203.69/204.06 (define @t240 () (@var "b_P" it_106_$$unsorted)) % 203.69/204.06 (define @t241 () (_ @t214 @t240 @t72)) % 203.69/204.06 (define @t242 () (forall (@list @t240) (not (forall @t81 (or (not (= (_ @t161 @t240) (tptp.phi @t241))) (not (forall @t80 (not (tptp.forallprefers (_ @t214 @t240 @t79) @t241))))))))) % 203.69/204.06 (define @t243 () (forall @t80 (not @t112))) % 203.69/204.06 (define @t244 () (not @t243)) % 203.69/204.06 (define @t245 () (and @t116 @t243)) % 203.69/204.06 (define @t246 () (forall @t81 (not @t245))) % 203.69/204.06 (define @t247 () (not @t246)) % 203.69/204.06 (define @t248 () (@list @t170)) % 203.69/204.06 (define @t249 () (forall @t80 (not (tptp.forallprefers @t216 @t220)))) % 203.69/204.06 (define @t250 () (not @t249)) % 203.69/204.06 (define @t251 () (tptp.phi @t220)) % 203.69/204.06 (define @t252 () (= @t217 @t251)) % 203.69/204.06 (define @t253 () (not @t252)) % 203.69/204.06 (define @t254 () (or @t253 @t250)) % 203.69/204.06 (define @t255 () (@list true)) % 203.69/204.06 (define @t256 () (@list @t254)) % 203.69/204.06 (define @t257 () (@list @t150)) % 203.69/204.06 (define @t258 () (not @t237)) % 203.69/204.06 (define @t259 () (@list true false)) % 203.69/204.06 (define @t260 () (@list @t237)) % 203.69/204.06 (define @t261 () (= tptp.true @t67)) % 203.69/204.06 (define @t262 () (_ @t176 @t170 @t219)) % 203.69/204.06 (define @t263 () (tptp.impl @t262 @t219)) % 203.69/204.06 (define @t264 () (= @t19 (= tptp.false1 @t40))) % 203.69/204.06 (define @t265 () (= tptp.false @t40)) % 203.69/204.06 (define @t266 () (= @t19 @t265)) % 203.69/204.06 (define @t267 () (tptp.bool @t219)) % 203.69/204.06 (define @t268 () (not @t267)) % 203.69/204.06 (define @t269 () (tptp.prop @t219)) % 203.69/204.06 (define @t270 () (= @t269 tptp.false1)) % 203.69/204.06 (define @t271 () (forall @t7 (= @t19 (= @t40 tptp.false1)))) % 203.69/204.06 (define @t272 () (= @t268 @t270)) % 203.69/204.06 (define @t273 () (@list @t219)) % 203.69/204.06 (define @t274 () (= tptp.false1 @t269)) % 203.69/204.06 (define @t275 () (= @t274 @t268)) % 203.69/204.06 (define @t276 () (@list @t271)) % 203.69/204.06 (define @t277 () (or (= @t219 tptp.false1) (= @t219 @t150))) % 203.69/204.06 (define @t278 () (= @t267 @t277)) % 203.69/204.06 (define @t279 () (= @t150 @t219)) % 203.69/204.06 (define @t280 () (= tptp.false1 @t219)) % 203.69/204.06 (define @t281 () (or @t280 @t279)) % 203.69/204.06 (define @t282 () (= @t267 @t281)) % 203.69/204.06 (define @t283 () (@list tptp.err)) % 203.69/204.06 (define @t284 () (tptp.phi tptp.err)) % 203.69/204.06 (define @t285 () (= tptp.err @t284)) % 203.69/204.06 (define @t286 () (not @t14)) % 203.69/204.06 (define @t287 () (and @t286 @t285)) % 203.69/204.06 (define @t288 () (not @t287)) % 203.69/204.06 (define @t289 () (and @t14 @t285)) % 203.69/204.06 (define @t290 () (or @t289 @t287)) % 203.69/204.06 (define @t291 () (not @t169)) % 203.69/204.06 (define @t292 () (or @t142 @t140 @t139)) % 203.69/204.06 (define @t293 () (forall @t145 @t292)) % 203.69/204.06 (define @t294 () (_ @t162 @t170)) % 203.69/204.06 (define @t295 () (= @t294 @t217)) % 203.69/204.06 (define @t296 () (_ @t164 @t170 @t163)) % 203.69/204.06 (define @t297 () (_ @t164 @t170 @t166)) % 203.69/204.06 (define @t298 () (forall @t168 (or (tptp.bool @t297) (tptp.bool @t296) (= @t297 @t296)))) % 203.69/204.06 (define @t299 () (not @t298)) % 203.69/204.06 (define @t300 () (or @t299 @t295)) % 203.69/204.06 (define @t301 () (not @t295)) % 203.69/204.06 (define @t302 () (@list @t300)) % 203.69/204.06 (define @t303 () (@var "b_X" it_107_$$unsorted)) % 203.69/204.06 (define @t304 () (@var "b_P" it_106_$$unsorted)) % 203.69/204.06 (define @t305 () (_ @t164 @t304 @t303)) % 203.69/204.06 (define @t306 () (@var "b_X1" it_107_$$unsorted)) % 203.69/204.06 (define @t307 () (@list @t306)) % 203.69/204.06 (define @t308 () (@list @t303)) % 203.69/204.06 (define @t309 () (forall (@list @t304) (not (forall @t308 (or (not (= (_ @t162 @t304) (tptp.phi @t305))) (not (forall @t307 (not (tptp.existsprefers (_ @t164 @t304 @t306) @t305))))))))) % 203.69/204.06 (define @t310 () (forall @t90 (not @t89))) % 203.69/204.06 (define @t311 () (not @t310)) % 203.69/204.06 (define @t312 () (and @t94 @t310)) % 203.69/204.06 (define @t313 () (forall @t7 (not @t312))) % 203.69/204.06 (define @t314 () (not @t313)) % 203.69/204.06 (define @t315 () (_ @t164 @t170 @t303)) % 203.69/204.06 (define @t316 () (_ @t164 @t170 @t306)) % 203.69/204.06 (define @t317 () (forall @t308 (or (not (= @t294 (tptp.phi @t315))) (not (forall @t307 (not (tptp.existsprefers @t316 @t315))))))) % 203.69/204.06 (define @t318 () (@quantifiers_skolemize @t317 0)) % 203.69/204.06 (define @t319 () (_ @t164 @t170 @t318)) % 203.69/204.06 (define @t320 () (tptp.phi @t319)) % 203.69/204.06 (define @t321 () (= @t294 @t320)) % 203.69/204.06 (define @t322 () (forall @t307 (not (tptp.existsprefers @t316 @t319)))) % 203.69/204.06 (define @t323 () (not @t322)) % 203.69/204.06 (define @t324 () (not @t321)) % 203.69/204.06 (define @t325 () (or @t324 @t323)) % 203.69/204.06 (define @t326 () (@list @t325)) % 203.69/204.06 (define @t327 () (= tptp.err @t319)) % 203.69/204.06 (define @t328 () (not @t327)) % 203.69/204.06 (define @t329 () (not @t285)) % 203.69/204.06 (define @t330 () (= tptp.err @t217)) % 203.69/204.06 (define @t331 () (not @t330)) % 203.69/204.06 (define @t332 () (not @t301)) % 203.69/204.06 (define @t333 () (= @t319 @t320)) % 203.69/204.06 (define @t334 () (= false true)) % 203.69/204.06 (define @t335 () (and @t285 @t327 @t333 @t321 @t330 @t301)) % 203.69/204.06 (define @t336 () (tptp.phi @t150)) % 203.69/204.06 (define @t337 () (tptp.d @t150)) % 203.69/204.06 (define @t338 () (not @t337)) % 203.69/204.06 (define @t339 () (and @t338 (= tptp.err @t336))) % 203.69/204.06 (define @t340 () (not @t339)) % 203.69/204.06 (define @t341 () (= @t150 @t336)) % 203.69/204.06 (define @t342 () (and @t337 @t341)) % 203.69/204.06 (define @t343 () (or @t342 @t339)) % 203.69/204.06 (define @t344 () (or @t51 @t56 @t55)) % 203.69/204.06 (define @t345 () (tptp.impl @t150 tptp.err)) % 203.69/204.06 (define @t346 () (tptp.bool tptp.err)) % 203.69/204.06 (define @t347 () (tptp.bool @t150)) % 203.69/204.06 (define @t348 () (not @t347)) % 203.69/204.06 (define @t349 () (or @t348 @t346 (= @t345 @t284))) % 203.69/204.06 (define @t350 () (forall @t52 @t344)) % 203.69/204.06 (define @t351 () (= @t284 @t345)) % 203.69/204.06 (define @t352 () (or @t348 @t346 @t351)) % 203.69/204.06 (define @t353 () (= tptp.err @t150)) % 203.69/204.06 (define @t354 () (= tptp.err tptp.false1)) % 203.69/204.06 (define @t355 () (or @t354 @t353)) % 203.69/204.06 (define @t356 () (not @t355)) % 203.69/204.06 (define @t357 () (@list true true)) % 203.69/204.06 (define @t358 () (= @t346 @t355)) % 203.69/204.06 (define @t359 () (not @t346)) % 203.69/204.06 (define @t360 () (= @t46 @t130)) % 203.69/204.06 (define @t361 () (not @t51)) % 203.69/204.06 (define @t362 () (tptp.not1 @t150)) % 203.69/204.06 (define @t363 () (or @t347 (= @t336 @t362))) % 203.69/204.06 (define @t364 () (forall @t132 (or @t50 @t360))) % 203.69/204.06 (define @t365 () (= @t362 @t336)) % 203.69/204.06 (define @t366 () (or @t347 @t365)) % 203.69/204.06 (define @t367 () (@list @t364)) % 203.69/204.06 (define @t368 () (= tptp.false tptp.true)) % 203.69/204.06 (define @t369 () (tptp.prop tptp.err)) % 203.69/204.06 (define @t370 () (= @t359 (= @t369 tptp.false1))) % 203.69/204.06 (define @t371 () (= tptp.false1 @t369)) % 203.69/204.06 (define @t372 () (= @t359 @t371)) % 203.69/204.06 (define @t373 () (not @t372)) % 203.69/204.06 (define @t374 () (not @t359)) % 203.69/204.06 (define @t375 () (tptp.impl tptp.err tptp.err)) % 203.69/204.06 (define @t376 () (or @t346 (= @t375 @t284))) % 203.69/204.06 (define @t377 () (forall @t52 (or @t50 @t49))) % 203.69/204.06 (define @t378 () (= @t284 @t375)) % 203.69/204.06 (define @t379 () (or @t346 @t378)) % 203.69/204.06 (define @t380 () (@list @t377)) % 203.69/204.06 (define @t381 () (@var "b_P" it_106_$$unsorted)) % 203.69/204.06 (define @t382 () (tptp.lazy_impl tptp.err @t375)) % 203.69/204.06 (define @t383 () (tptp.impl @t382 tptp.err)) % 203.69/204.06 (define @t384 () (tptp.lazy_impl @t369 @t383)) % 203.69/204.06 (define @t385 () (tptp.lazy_impl tptp.err @t345)) % 203.69/204.06 (define @t386 () (tptp.impl @t385 tptp.err)) % 203.69/204.06 (define @t387 () (tptp.lazy_impl @t369 @t386)) % 203.69/204.06 (define @t388 () (= tptp.err @t387)) % 203.69/204.06 (define @t389 () (tptp.lazy_impl @t269 @t263)) % 203.69/204.06 (define @t390 () (= @t220 @t389)) % 203.69/204.06 (define @t391 () (tptp.lazy_impl tptp.false1 @t383)) % 203.69/204.06 (define @t392 () (= @t150 @t391)) % 203.69/204.06 (define @t393 () (tptp.lazy_impl tptp.false1 @t263)) % 203.69/204.06 (define @t394 () (= @t150 @t393)) % 203.69/204.06 (define @t395 () (and @t330 @t341 @t351 @t371 @t378 @t252 @t390 @t392 @t274 @t394)) % 203.69/204.06 (define @t396 () (not @t394)) % 203.69/204.06 (define @t397 () (not @t274)) % 203.69/204.06 (define @t398 () (not @t390)) % 203.69/204.06 (define @t399 () (not @t351)) % 203.69/204.06 (define @t400 () (not @t341)) % 203.69/204.06 (define @t401 () (= tptp.err @t320)) % 203.69/204.06 (define @t402 () (not @t401)) % 203.69/204.06 (define @t403 () (and @t285 @t401 @t321 @t330 @t301)) % 203.69/204.06 (define @t404 () (not @t317)) % 203.69/204.06 (define @t405 () (not @t325)) % 203.69/204.06 (define @t406 () (forall @t7 (or (and @t21 (= @t1 @t35)) (and @t23 (= tptp.err @t35))))) % 203.69/204.06 (define @t407 () (not @t300)) % 203.69/204.06 (define @t408 () (tptp.d @t319)) % 203.69/204.06 (define @t409 () (not @t408)) % 203.69/204.06 (define @t410 () (and @t409 @t401)) % 203.69/204.06 (define @t411 () (not @t410)) % 203.69/204.06 (define @t412 () (@list @t319)) % 203.69/204.06 (define @t413 () (and @t408 @t333)) % 203.69/204.06 (define @t414 () (or @t413 @t410)) % 203.69/204.06 (define @t415 () (not @t413)) % 203.69/204.06 (define @t416 () (= tptp.err @t294)) % 203.69/204.06 (define @t417 () (not @t416)) % 203.69/204.06 (define @t418 () (and @t285 @t416 @t330 @t301)) % 203.69/204.06 (define @t419 () (and @t151 (= tptp.false1 @t17))) % 203.69/204.06 (define @t420 () (or @t24 @t22 @t419)) % 203.69/204.06 (define @t421 () (= @t32 @t420)) % 203.69/204.06 (define @t422 () (= tptp.false @t17)) % 203.69/204.06 (define @t423 () (and @t155 @t422)) % 203.69/204.06 (define @t424 () (or @t24 @t22 @t423)) % 203.69/204.06 (define @t425 () (= @t32 @t424)) % 203.69/204.06 (define @t426 () (= @t319 tptp.false1)) % 203.69/204.06 (define @t427 () (and @t199 @t426)) % 203.69/204.06 (define @t428 () (tptp.bool @t319)) % 203.69/204.06 (define @t429 () (not @t201)) % 203.69/204.06 (define @t430 () (tptp.d @t198)) % 203.69/204.06 (define @t431 () (and @t430 @t408 @t429 @t428)) % 203.69/204.06 (define @t432 () (not @t430)) % 203.69/204.06 (define @t433 () (and @t432 @t408)) % 203.69/204.06 (define @t434 () (or @t433 @t431 @t427)) % 203.69/204.06 (define @t435 () (tptp.existsprefers @t198 @t319)) % 203.69/204.06 (define @t436 () (= @t435 @t434)) % 203.69/204.06 (define @t437 () (forall @t28 (= @t32 (or @t24 @t22 (and @t185 (= @t17 tptp.false1)))))) % 203.69/204.06 (define @t438 () (not @t435)) % 203.69/204.06 (define @t439 () (= tptp.false1 @t319)) % 203.69/204.06 (define @t440 () (or @t433 @t431 (and @t203 @t439))) % 203.69/204.06 (define @t441 () (= @t435 @t440)) % 203.69/204.06 (define @t442 () (not @t440)) % 203.69/204.06 (define @t443 () (= tptp.true @t60)) % 203.69/204.06 (define @t444 () (or @t57 @t443)) % 203.69/204.06 (define @t445 () (tptp.impl tptp.false1 @t150)) % 203.69/204.06 (define @t446 () (= @t150 @t445)) % 203.69/204.06 (define @t447 () (or @t348 @t446)) % 203.69/204.06 (define @t448 () (@list false false)) % 203.69/204.06 (define @t449 () (@var "b_P" it_106_$$unsorted)) % 203.69/204.06 (define @t450 () (_ @t171 @t449 @t159 @t72)) % 203.69/204.06 (define @t451 () (forall @t90 (not @t101))) % 203.69/204.06 (define @t452 () (not @t451)) % 203.69/204.06 (define @t453 () (and @t105 @t451)) % 203.69/204.06 (define @t454 () (forall @t7 (not @t453))) % 203.69/204.06 (define @t455 () (not @t454)) % 203.69/204.06 (define @t456 () (@list @t170 @t150)) % 203.69/204.06 (define @t457 () (_ @t171 @t170 @t197 @t150)) % 203.69/204.06 (define @t458 () (tptp.phi @t457)) % 203.69/204.06 (define @t459 () (= @t196 @t458)) % 203.69/204.06 (define @t460 () (forall @t175 (not (tptp.forallprefers @t195 @t457)))) % 203.69/204.06 (define @t461 () (not @t460)) % 203.69/204.06 (define @t462 () (not @t459)) % 203.69/204.06 (define @t463 () (or @t462 @t461)) % 203.69/204.06 (define @t464 () (@list @t463)) % 203.69/204.06 (define @t465 () (@var "b_X" it_107_$$unsorted)) % 203.69/204.06 (define @t466 () (@var "b_P" it_106_$$unsorted)) % 203.69/204.06 (define @t467 () (= tptp.err @t262)) % 203.69/204.06 (define @t468 () (tptp.impl @t198 @t150)) % 203.69/204.06 (define @t469 () (= @t457 @t468)) % 203.69/204.06 (define @t470 () (and @t341 @t446 @t279 @t467 @t459 @t469 @t204)) % 203.69/204.06 (define @t471 () (not @t204)) % 203.69/204.06 (define @t472 () (not @t469)) % 203.69/204.06 (define @t473 () (not @t467)) % 203.69/204.06 (define @t474 () (not @t279)) % 203.69/204.06 (define @t475 () (not @t446)) % 203.69/204.06 (define @t476 () (= @t47 @t64)) % 203.69/204.06 (define @t477 () (or @t57 @t476)) % 203.69/204.06 (define @t478 () (tptp.impl @t150 @t150)) % 203.69/204.06 (define @t479 () (= @t150 @t478)) % 203.69/204.06 (define @t480 () (or @t348 @t479)) % 203.69/204.06 (define @t481 () (and @t341 @t479 @t279 @t467 @t459 @t469 @t203)) % 203.69/204.06 (define @t482 () (not @t203)) % 203.69/204.06 (define @t483 () (not @t479)) % 203.69/204.06 (define @t484 () (not @t205)) % 203.69/204.06 (define @t485 () (@list @t437)) % 203.69/204.06 (define @t486 () (@list @t440)) % 203.69/204.06 (define @t487 () (not @t428)) % 203.69/204.06 (define @t488 () (or @t201 @t428 (= @t198 @t319))) % 203.69/204.06 (define @t489 () (= @t319 @t198)) % 203.69/204.06 (define @t490 () (or @t201 @t428 @t489)) % 203.69/204.06 (define @t491 () (@list @t298)) % 203.69/204.06 (define @t492 () (tptp.impl @t319 @t150)) % 203.69/204.06 (define @t493 () (or @t428 (= @t492 @t320))) % 203.69/204.06 (define @t494 () (= @t320 @t492)) % 203.69/204.06 (define @t495 () (or @t428 @t494)) % 203.69/204.06 (define @t496 () (and @t321 @t279 @t467 @t459 @t333 @t469 @t489 @t494)) % 203.69/204.06 (define @t497 () (not @t489)) % 203.69/204.06 (define @t498 () (not @t494)) % 203.69/204.06 (define @t499 () (not @t333)) % 203.69/204.06 (define @t500 () (tptp.impl tptp.err @t219)) % 203.69/204.06 (define @t501 () (or @t346 (= @t500 @t284))) % 203.69/204.06 (define @t502 () (= @t284 @t500)) % 203.69/204.06 (define @t503 () (or @t346 @t502)) % 203.69/204.06 (define @t504 () (= tptp.err @t198)) % 203.69/204.06 (define @t505 () (tptp.impl tptp.err @t150)) % 203.69/204.06 (define @t506 () (and @t285 @t279 @t502 @t459 @t469 @t504)) % 203.69/204.06 (define @t507 () (not @t502)) % 203.69/204.06 (define @t508 () (= tptp.err @t457)) % 203.69/204.06 (define @t509 () (and @t285 @t279 @t459 @t508)) % 203.69/204.06 (define @t510 () (not @t508)) % 203.69/204.06 (define @t511 () (= @t54 @t69)) % 203.69/204.06 (define @t512 () (= @t5 (= @t150 @t40))) % 203.69/204.06 (define @t513 () (= tptp.true @t40)) % 203.69/204.06 (define @t514 () (= @t5 @t513)) % 203.69/204.06 (define @t515 () (tptp.prop @t150)) % 203.69/204.06 (define @t516 () (= @t347 (= @t515 @t150))) % 203.69/204.06 (define @t517 () (forall @t7 (= @t5 (= @t40 @t150)))) % 203.69/204.06 (define @t518 () (= @t150 @t515)) % 203.69/204.06 (define @t519 () (= @t347 @t518)) % 203.69/204.06 (define @t520 () (@list @t517)) % 203.69/204.06 (define @t521 () (@list tptp.false1)) % 203.69/204.06 (define @t522 () (tptp.phi tptp.false1)) % 203.69/204.06 (define @t523 () (tptp.bool tptp.false1)) % 203.69/204.06 (define @t524 () (or @t523 (= @t522 @t150))) % 203.69/204.06 (define @t525 () (= @t150 @t522)) % 203.69/204.06 (define @t526 () (or @t523 @t525)) % 203.69/204.06 (define @t527 () (tptp.d tptp.false1)) % 203.69/204.06 (define @t528 () (not @t527)) % 203.69/204.06 (define @t529 () (and @t528 (= tptp.err @t522))) % 203.69/204.06 (define @t530 () (not @t529)) % 203.69/204.06 (define @t531 () (= tptp.false1 @t522)) % 203.69/204.06 (define @t532 () (and @t527 @t531)) % 203.69/204.06 (define @t533 () (or @t532 @t529)) % 203.69/204.06 (define @t534 () (not @t525)) % 203.69/204.06 (define @t535 () (not @t531)) % 203.69/204.06 (define @t536 () (= tptp.false1 @t150)) % 203.69/204.06 (define @t537 () (not @t536)) % 203.69/204.06 (define @t538 () (and @t531 @t525 @t537)) % 203.69/204.06 (define @t539 () (tptp.impl tptp.false1 tptp.false1)) % 203.69/204.06 (define @t540 () (= @t150 @t539)) % 203.69/204.06 (define @t541 () (not @t523)) % 203.69/204.06 (define @t542 () (or @t541 @t540)) % 203.69/204.06 (define @t543 () (tptp.impl @t150 tptp.false1)) % 203.69/204.06 (define @t544 () (= tptp.false1 @t543)) % 203.69/204.06 (define @t545 () (or @t541 @t544)) % 203.69/204.06 (define @t546 () (tptp.prop tptp.false1)) % 203.69/204.06 (define @t547 () (= @t523 (= @t546 @t150))) % 203.69/204.06 (define @t548 () (= @t150 @t546)) % 203.69/204.06 (define @t549 () (= @t523 @t548)) % 203.69/204.06 (define @t550 () (tptp.lazy_impl @t150 @t150)) % 203.69/204.06 (define @t551 () (= @t336 @t550)) % 203.69/204.06 (define @t552 () (tptp.impl @t543 tptp.false1)) % 203.69/204.06 (define @t553 () (tptp.impl @t539 tptp.false1)) % 203.69/204.06 (define @t554 () (tptp.impl @t543 @t553)) % 203.69/204.06 (define @t555 () (tptp.lazy_impl @t546 @t554)) % 203.69/204.06 (define @t556 () (tptp.impl @t262 @t150)) % 203.69/204.06 (define @t557 () (tptp.lazy_impl @t150 @t263)) % 203.69/204.06 (define @t558 () (and @t330 @t341 @t518 @t540 @t544 @t479 @t551 @t548 @t252 @t279 @t390 @t459 @t469 @t203)) % 203.69/204.06 (define @t559 () (not @t548)) % 203.69/204.06 (define @t560 () (not @t551)) % 203.69/204.06 (define @t561 () (not @t544)) % 203.69/204.06 (define @t562 () (not @t540)) % 203.69/204.06 (define @t563 () (not @t518)) % 203.69/204.06 (define @t564 () (and @t330 @t341 @t518 @t540 @t446 @t544 @t479 @t551 @t548 @t252 @t279 @t390 @t459 @t469 @t204)) % 203.69/204.06 (define @t565 () (tptp.impl @t196 @t150)) % 203.69/204.06 (define @t566 () (tptp.lazy_impl @t515 @t565)) % 203.69/204.06 (define @t567 () (= @t221 @t566)) % 203.69/204.06 (define @t568 () (tptp.lazy_impl @t150 @t319)) % 203.69/204.06 (define @t569 () (= @t320 @t568)) % 203.69/204.06 (define @t570 () (and @t330 @t518 @t321 @t252 @t279 @t459 @t333 @t469 @t489 @t567 @t494 @t569)) % 203.69/204.06 (define @t571 () (not @t569)) % 203.69/204.06 (define @t572 () (not @t567)) % 203.69/204.06 (define @t573 () (not @t275)) % 203.69/204.06 (define @t574 () (not @t281)) % 203.69/204.06 (define @t575 () (@list @t170 tptp.false1)) % 203.69/204.06 (define @t576 () (_ @t171 @t170 @t179 tptp.false1)) % 203.69/204.06 (define @t577 () (tptp.phi @t576)) % 203.69/204.06 (define @t578 () (= @t177 @t577)) % 203.69/204.06 (define @t579 () (forall @t175 (not (tptp.forallprefers @t174 @t576)))) % 203.69/204.06 (define @t580 () (not @t579)) % 203.69/204.06 (define @t581 () (not @t578)) % 203.69/204.06 (define @t582 () (or @t581 @t580)) % 203.69/204.06 (define @t583 () (@list @t582)) % 203.69/204.06 (define @t584 () (tptp.lazy_impl @t150 tptp.false1)) % 203.69/204.06 (define @t585 () (= @t522 @t584)) % 203.69/204.06 (define @t586 () (_ @t164 @t170 @t179)) % 203.69/204.06 (define @t587 () (tptp.impl @t586 tptp.false1)) % 203.69/204.06 (define @t588 () (= @t576 @t587)) % 203.69/204.06 (define @t589 () (= tptp.false1 @t586)) % 203.69/204.06 (define @t590 () (tptp.impl @t177 tptp.false1)) % 203.69/204.06 (define @t591 () (tptp.lazy_impl @t546 @t590)) % 203.69/204.06 (define @t592 () (_ @t214 @t170 tptp.false1)) % 203.69/204.06 (define @t593 () (= @t592 @t591)) % 203.69/204.06 (define @t594 () (tptp.lazy_impl @t546 tptp.false1)) % 203.69/204.06 (define @t595 () (and @t330 @t531 @t341 @t540 @t544 @t548 @t585 @t578 @t252 @t588 @t280 @t589 @t593)) % 203.69/204.06 (define @t596 () (not @t589)) % 203.69/204.06 (define @t597 () (not @t593)) % 203.69/204.06 (define @t598 () (not @t280)) % 203.69/204.06 (define @t599 () (not @t588)) % 203.69/204.06 (define @t600 () (not @t585)) % 203.69/204.06 (define @t601 () (tptp.lazy_impl @t150 @t576)) % 203.69/204.06 (define @t602 () (= @t577 @t601)) % 203.69/204.06 (define @t603 () (not @t602)) % 203.69/204.06 (define @t604 () (= @t150 @t576)) % 203.69/204.06 (define @t605 () (not @t604)) % 203.69/204.06 (define @t606 () (not @t354)) % 203.69/204.06 (define @t607 () (not @t606)) % 203.69/204.06 (define @t608 () (tptp.impl @t587 tptp.false1)) % 203.69/204.06 (define @t609 () (tptp.impl @t539 @t608)) % 203.69/204.06 (define @t610 () (= tptp.err @t609)) % 203.69/204.06 (define @t611 () (not @t610)) % 203.69/204.06 (define @t612 () (tptp.impl @t586 @t543)) % 203.69/204.06 (define @t613 () (and @t611 @t610)) % 203.69/204.06 (define @t614 () (= tptp.false1 @t576)) % 203.69/204.06 (define @t615 () (not @t614)) % 203.69/204.06 (define @t616 () (not @t353)) % 203.69/204.06 (define @t617 () (= tptp.err @t576)) % 203.69/204.06 (define @t618 () (= @t150 @t586)) % 203.69/204.06 (define @t619 () (and @t544 @t617 @t588 @t618)) % 203.69/204.06 (define @t620 () (not @t618)) % 203.69/204.06 (define @t621 () (not @t617)) % 203.69/204.06 (define @t622 () (or @t589 @t618)) % 203.69/204.06 (define @t623 () (not @t622)) % 203.69/204.06 (define @t624 () (or (= @t586 tptp.false1) (= @t586 @t150))) % 203.69/204.06 (define @t625 () (tptp.bool @t586)) % 203.69/204.06 (define @t626 () (= @t625 @t624)) % 203.69/204.06 (define @t627 () (@list @t586)) % 203.69/204.06 (define @t628 () (= @t625 @t622)) % 203.69/204.06 (define @t629 () (not @t625)) % 203.69/204.06 (define @t630 () (tptp.phi @t586)) % 203.69/204.06 (define @t631 () (= @t587 @t630)) % 203.69/204.06 (define @t632 () (or @t625 @t631)) % 203.69/204.06 (define @t633 () (tptp.impl @t586 @t150)) % 203.69/204.06 (define @t634 () (= @t633 @t630)) % 203.69/204.06 (define @t635 () (or @t625 @t634)) % 203.69/204.06 (define @t636 () (= @t150 @t150)) % 203.69/204.06 (define @t637 () (and @t354 @t636)) % 203.69/204.06 (define @t638 () (and @t14 @t337 @t359 @t347)) % 203.69/204.06 (define @t639 () (and @t286 @t337)) % 203.69/204.06 (define @t640 () (or @t639 @t638 @t637)) % 203.69/204.06 (define @t641 () (tptp.forallprefers tptp.err @t150)) % 203.69/204.06 (define @t642 () (= @t641 @t640)) % 203.69/204.06 (define @t643 () (@list tptp.err @t150)) % 203.69/204.06 (define @t644 () (or @t639 @t638 @t354)) % 203.69/204.06 (define @t645 () (= @t641 @t644)) % 203.69/204.06 (define @t646 () (@list false false false true)) % 203.69/204.06 (define @t647 () (@list @t179)) % 203.69/204.06 (define @t648 () (tptp.forallprefers @t180 @t457)) % 203.69/204.06 (define @t649 () (not @t634)) % 203.69/204.06 (define @t650 () (not @t631)) % 203.69/204.06 (define @t651 () (= @t180 @t633)) % 203.69/204.06 (define @t652 () (not @t651)) % 203.69/204.06 (define @t653 () (not @t641)) % 203.69/204.06 (define @t654 () (not @t648)) % 203.69/204.06 (define @t655 () (not @t654)) % 203.69/204.06 (define @t656 () (and @t641 @t617 @t588 @t631 @t634 @t651 @t446 @t204 @t469 @t654)) % 203.69/204.06 (define @t657 () (= @t319 @t586)) % 203.69/204.06 (define @t658 () (and @t321 @t617 @t588 @t657 @t631)) % 203.69/204.06 (define @t659 () (not @t657)) % 203.69/204.06 (define @t660 () (or @t625 @t428 (= @t586 @t319))) % 203.69/204.06 (define @t661 () (or @t625 @t428 @t657)) % 203.69/204.06 (define @t662 () (and @t641 @t617 @t588 @t631 @t634 @t651 @t479 @t203 @t469 @t654)) % 203.69/204.06 (define @t663 () (and @t321 @t328 @t333)) % 203.69/204.06 (define @t664 () (tptp.impl tptp.err tptp.false1)) % 203.69/204.06 (define @t665 () (or @t346 (= @t664 @t284))) % 203.69/204.06 (define @t666 () (= @t284 @t664)) % 203.69/204.06 (define @t667 () (or @t346 @t666)) % 203.69/204.06 (define @t668 () (= tptp.err @t586)) % 203.69/204.06 (define @t669 () (and @t285 @t588 @t666 @t668)) % 203.69/204.06 (define @t670 () (not @t666)) % 203.69/204.06 (define @t671 () (and @t330 @t531 @t341 @t540 @t544 @t551 @t548 @t578 @t252 @t588 @t280 @t593 @t618)) % 203.69/204.06 (define @t672 () (tptp.impl @t319 tptp.false1)) % 203.69/204.06 (define @t673 () (and @t544 @t548 @t321 @t578 @t252 @t588 @t280 @t657 @t593 @t333 @t631 @t569 @t602)) % 203.69/204.06 (define @t674 () (not @t188)) % 203.69/204.06 (define @t675 () (and @t588 @t651 @t631 @t634 @t605)) % 203.69/204.06 (define @t676 () (not @t189)) % 203.69/204.06 (define @t677 () (and @t588 @t651 @t631 @t634 @t615)) % 203.69/204.06 (define @t678 () (not @t190)) % 203.69/204.06 (define @t679 () (not @t183)) % 203.69/204.06 (define @t680 () (tptp.d @t457)) % 203.69/204.06 (define @t681 () (and @t337 @t446 @t469 @t204)) % 203.69/204.06 (define @t682 () (tptp.bool @t457)) % 203.69/204.06 (define @t683 () (and @t347 @t446 @t469 @t204)) % 203.69/204.06 (define @t684 () (= @t457 @t150)) % 203.69/204.06 (define @t685 () (and @t181 @t684)) % 203.69/204.06 (define @t686 () (tptp.d @t180)) % 203.69/204.06 (define @t687 () (and @t686 @t680 @t679 @t682)) % 203.69/204.06 (define @t688 () (not @t686)) % 203.69/204.06 (define @t689 () (and @t688 @t680)) % 203.69/204.06 (define @t690 () (or @t689 @t687 @t685)) % 203.69/204.06 (define @t691 () (= @t648 @t690)) % 203.69/204.06 (define @t692 () (= @t150 @t457)) % 203.69/204.06 (define @t693 () (and @t189 @t692)) % 203.69/204.06 (define @t694 () (or @t689 @t687 @t693)) % 203.69/204.06 (define @t695 () (= @t648 @t694)) % 203.69/204.06 (define @t696 () (not @t694)) % 203.69/204.06 (define @t697 () (@list @t694)) % 203.69/204.06 (define @t698 () (not @t682)) % 203.69/204.06 (define @t699 () (not @t680)) % 203.69/204.06 (define @t700 () (@list true false false false false false false false false)) % 203.69/204.06 (define @t701 () (and @t347 @t479 @t469 @t203)) % 203.69/204.06 (define @t702 () (and @t337 @t479 @t469 @t203)) % 203.69/204.06 (define @t703 () (= tptp.err @t220)) % 203.69/204.06 (define @t704 () (and @t285 @t252 @t703)) % 203.69/204.06 (define @t705 () (not @t703)) % 203.69/204.06 (define @t706 () (@list true false false)) % 203.69/204.06 (define @t707 () (= tptp.false1 @t294)) % 203.69/204.06 (define @t708 () (not @t707)) % 203.69/204.06 (define @t709 () (and @t606 @t707 @t321)) % 203.69/204.06 (define @t710 () (= tptp.false1 @t362)) % 203.69/204.06 (define @t711 () (not @t710)) % 203.69/204.06 (define @t712 () (not @t439)) % 203.69/204.06 (define @t713 () (and @t710 @t707 @t321 @t333 @t712)) % 203.69/204.06 (define @t714 () (and @t523 @t439)) % 203.69/204.06 (define @t715 () (tptp.existsprefers @t150 tptp.false1)) % 203.69/204.06 (define @t716 () (and @t337 @t527 @t348 @t523)) % 203.69/204.06 (define @t717 () (and @t338 @t527)) % 203.69/204.06 (define @t718 () (= tptp.false1 tptp.false1)) % 203.69/204.06 (define @t719 () (and @t636 @t718)) % 203.69/204.06 (define @t720 () (or @t717 @t716 @t719)) % 203.69/204.06 (define @t721 () (= @t715 @t720)) % 203.69/204.06 (define @t722 () (not @t715)) % 203.69/204.06 (define @t723 () (and @t715 @t203 @t439 @t438)) % 203.69/204.06 (define @t724 () (tptp.forallprefers tptp.false1 @t150)) % 203.69/204.06 (define @t725 () (and @t527 @t337 @t541 @t347)) % 203.69/204.06 (define @t726 () (and @t528 @t337)) % 203.69/204.06 (define @t727 () (and @t718 @t636)) % 203.69/204.06 (define @t728 () (or @t726 @t725 @t727)) % 203.69/204.06 (define @t729 () (= @t724 @t728)) % 203.69/204.06 (define @t730 () (tptp.forallprefers @t592 @t220)) % 203.69/204.06 (define @t731 () (not @t724)) % 203.69/204.06 (define @t732 () (not @t730)) % 203.69/204.06 (define @t733 () (not @t732)) % 203.69/204.06 (define @t734 () (and @t724 @t531 @t585 @t548 @t544 @t341 @t540 @t589 @t588 @t578 @t593 @t551 @t479 @t446 @t204 @t469 @t459 @t279 @t518 @t390 @t732)) % 203.69/204.06 (define @t735 () (and @t707 @t531 @t341 @t540 @t544 @t548 @t585 @t578 @t252 @t588 @t280 @t589 @t593)) % 203.69/204.06 (define @t736 () (forall @t124 (not @t123))) % 203.69/204.06 (define @t737 () (and @t127 @t736)) % 203.69/204.06 (define @t738 () (forall @t97 (not @t737))) % 203.69/204.06 (define @t739 () (not @t738)) % 203.69/204.06 (define @t740 () (not @t736)) % 203.69/204.06 (define @t741 () (@quantifiers_skolemize (forall @t97 (or (not @t127) @t740)) 0)) % 203.69/204.06 (define @t742 () (tptp.f7 @t741)) % 203.69/204.06 (define @t743 () (tptp.phi @t742)) % 203.69/204.06 (define @t744 () (= tptp.false2 @t743)) % 203.69/204.06 (define @t745 () (forall @t124 (not (tptp.forallprefers @t122 @t742)))) % 203.69/204.06 (define @t746 () (not @t745)) % 203.69/204.06 (define @t747 () (not @t744)) % 203.69/204.06 (define @t748 () (or @t747 @t746)) % 203.69/204.06 (define @t749 () (@list @t748)) % 203.69/204.06 (define @t750 () (@list @t741)) % 203.69/204.06 (define @t751 () (tptp.bool @t741)) % 203.69/204.06 (define @t752 () (tptp.prop @t741)) % 203.69/204.06 (define @t753 () (= @t150 @t752)) % 203.69/204.06 (define @t754 () (= @t751 (= @t752 @t150))) % 203.69/204.06 (define @t755 () (= @t753 @t751)) % 203.69/204.06 (define @t756 () (not @t751)) % 203.69/204.06 (define @t757 () (= @t752 tptp.false1)) % 203.69/204.06 (define @t758 () (= @t756 @t757)) % 203.69/204.06 (define @t759 () (= tptp.false1 @t752)) % 203.69/204.06 (define @t760 () (= @t759 @t756)) % 203.69/204.06 (define @t761 () (tptp.f7 tptp.false1)) % 203.69/204.06 (define @t762 () (tptp.forallprefers @t761 @t742)) % 203.69/204.06 (define @t763 () (= @t761 @t594)) % 203.69/204.06 (define @t764 () (not @t763)) % 203.69/204.06 (define @t765 () (tptp.lazy_impl tptp.false1 @t741)) % 203.69/204.06 (define @t766 () (= @t150 @t765)) % 203.69/204.06 (define @t767 () (not @t766)) % 203.69/204.06 (define @t768 () (not @t759)) % 203.69/204.06 (define @t769 () (tptp.lazy_impl @t752 @t741)) % 203.69/204.06 (define @t770 () (= @t742 @t769)) % 203.69/204.06 (define @t771 () (not @t770)) % 203.69/204.06 (define @t772 () (not @t762)) % 203.69/204.06 (define @t773 () (not @t772)) % 203.69/204.06 (define @t774 () (= true false)) % 203.69/204.06 (define @t775 () (tptp.lazy_impl @t150 @t539)) % 203.69/204.06 (define @t776 () (tptp.impl @t775 tptp.false1)) % 203.69/204.06 (define @t777 () (and @t772 @t763 @t544 @t341 @t551 @t540 @t548 @t585 @t531 @t770 @t759 @t766 @t724)) % 203.69/204.06 (define @t778 () (not @t760)) % 203.69/204.06 (define @t779 () (or (= @t741 tptp.false1) (= @t741 @t150))) % 203.69/204.06 (define @t780 () (= @t751 @t779)) % 203.69/204.06 (define @t781 () (= @t150 @t741)) % 203.69/204.06 (define @t782 () (= tptp.false1 @t741)) % 203.69/204.06 (define @t783 () (or @t782 @t781)) % 203.69/204.06 (define @t784 () (= @t751 @t783)) % 203.69/204.06 (define @t785 () (not @t753)) % 203.69/204.06 (define @t786 () (not @t781)) % 203.69/204.06 (define @t787 () (and @t724 @t531 @t585 @t548 @t763 @t341 @t551 @t540 @t544 @t753 @t781 @t770 @t772)) % 203.69/204.06 (define @t788 () (tptp.not2 @t586)) % 203.69/204.06 (define @t789 () (= @t788 (tptp.impl @t586 tptp.false2))) % 203.69/204.06 (define @t790 () (not @t789)) % 203.69/204.06 (define @t791 () (tptp.impl tptp.false1 tptp.false2)) % 203.69/204.06 (define @t792 () (= (tptp.not2 tptp.false1) @t791)) % 203.69/204.06 (define @t793 () (not @t792)) % 203.69/204.06 (define @t794 () (tptp.lazy_impl @t150 @t742)) % 203.69/204.06 (define @t795 () (= @t743 @t794)) % 203.69/204.06 (define @t796 () (not @t795)) % 203.69/204.06 (define @t797 () (not @t782)) % 203.69/204.06 (define @t798 () (and @t724 @t531 @t585 @t548 @t544 @t341 @t551 @t540 @t753 @t782 @t770 @t795 @t744 @t792 @t589 @t789 @t588 @t602 @t578 @t593 @t394 @t274 @t390 @t732)) % 203.69/204.06 (define @t799 () (tptp.existsprefers @t586 @t319)) % 203.69/204.06 (define @t800 () (not @t799)) % 203.69/204.06 (define @t801 () (and @t715 @t618 @t439 @t800)) % 203.69/204.06 (define @t802 () (and @t724 @t614 @t588 @t631 @t634 @t651 @t446 @t204 @t469 @t654)) % 203.69/204.06 (define @t803 () (= tptp.false1 @t592)) % 203.69/204.06 (define @t804 () (and @t531 @t341 @t540 @t544 @t551 @t548 @t585 @t578 @t604 @t593 @t602)) % 203.69/204.06 (define @t805 () (and @t707 @t531 @t341 @t540 @t544 @t551 @t548 @t585 @t578 @t252 @t604 @t280 @t593 @t602)) % 203.69/204.06 (define @t806 () (and (= @t592 tptp.false1) @t222)) % 203.69/204.06 (define @t807 () (tptp.bool @t592)) % 203.69/204.06 (define @t808 () (not @t807)) % 203.69/204.06 (define @t809 () (tptp.d @t592)) % 203.69/204.06 (define @t810 () (and @t809 @t227 @t808 @t224)) % 203.69/204.06 (define @t811 () (not @t809)) % 203.69/204.06 (define @t812 () (and @t811 @t227)) % 203.69/204.06 (define @t813 () (or @t812 @t810 @t806)) % 203.69/204.06 (define @t814 () (= @t730 @t813)) % 203.69/204.06 (define @t815 () (and @t803 @t236)) % 203.69/204.06 (define @t816 () (or @t812 @t810 @t815)) % 203.69/204.06 (define @t817 () (= @t730 @t816)) % 203.69/204.06 (define @t818 () (not @t816)) % 203.69/204.06 (define @t819 () (@list @t816)) % 203.69/204.06 (define @t820 () (and @t341 @t518 @t540 @t446 @t544 @t479 @t551 @t548 @t279 @t459 @t469 @t204 @t567)) % 203.69/204.06 (define @t821 () (and @t390 @t274 @t394)) % 203.69/204.06 (define @t822 () (and @t710 @t439 @t333 @t321 @t708)) % 203.69/204.06 (define @t823 () (@list false true false false)) % 203.69/204.06 (define @t824 () (tptp.lazy_impl @t150 tptp.err)) % 203.69/204.06 (define @t825 () (= @t284 @t824)) % 203.69/204.06 (define @t826 () (and @t518 @t285 @t825 @t279 @t390 @t467 @t502)) % 203.69/204.06 (define @t827 () (not @t825)) % 203.69/204.06 (define @t828 () (= @t150 @t319)) % 203.69/204.06 (define @t829 () (not @t828)) % 203.69/204.06 (define @t830 () (_ @t171 @t170 @t318 @t150)) % 203.69/204.06 (define @t831 () (tptp.bool @t830)) % 203.69/204.06 (define @t832 () (not @t831)) % 203.69/204.06 (define @t833 () (= @t830 @t492)) % 203.69/204.06 (define @t834 () (not @t833)) % 203.69/204.06 (define @t835 () (and @t359 @t401 @t494 @t833 @t831)) % 203.69/204.06 (define @t836 () (or @t439 @t828)) % 203.69/204.06 (define @t837 () (or @t426 (= @t319 @t150))) % 203.69/204.06 (define @t838 () (= @t428 @t837)) % 203.69/204.06 (define @t839 () (= @t428 @t836)) % 203.69/204.06 (define @t840 () (tptp.d @t830)) % 203.69/204.06 (define @t841 () (and @t14 @t833 @t401 @t494)) % 203.69/204.06 (define @t842 () (and (= @t830 tptp.false1) @t684)) % 203.69/204.06 (define @t843 () (and @t840 @t680 @t832 @t682)) % 203.69/204.06 (define @t844 () (not @t840)) % 203.69/204.06 (define @t845 () (and @t844 @t680)) % 203.69/204.06 (define @t846 () (or @t845 @t843 @t842)) % 203.69/204.06 (define @t847 () (tptp.forallprefers @t830 @t457)) % 203.69/204.06 (define @t848 () (= @t847 @t846)) % 203.69/204.06 (define @t849 () (or @t845 @t843 (and (= tptp.false1 @t830) @t692))) % 203.69/204.06 (define @t850 () (= @t847 @t849)) % 203.69/204.06 (define @t851 () (@list @t318)) % 203.69/204.06 (define @t852 () (not @t849)) % 203.69/204.06 (define @t853 () (@list @t849)) % 203.69/204.06 (define @t854 () (and @t401 @t469 @t489 @t494)) % 203.69/204.06 (define @t855 () (and @t518 @t321 @t252 @t279 @t459 @t333 @t469 @t489 @t567 @t494 @t569)) % 203.69/204.06 (define @t856 () (and @t341 @t518 @t540 @t446 @t544 @t479 @t551 @t548 @t321 @t252 @t828 @t279 @t459 @t469 @t204 @t567 @t569)) % 203.69/204.06 (define @t857 () (and @t341 @t518 @t540 @t544 @t479 @t551 @t548 @t321 @t252 @t828 @t279 @t459 @t469 @t203 @t567 @t569)) % 203.69/204.06 (define @t858 () (not @t487)) % 203.69/204.06 (define @t859 () (and @t833 @t333 @t494 @t487)) % 203.69/204.06 (define @t860 () (and @t833 @t408 @t333 @t494)) % 203.69/204.06 (define @t861 () (tptp.impl @t150 @t345)) % 203.69/204.06 (define @t862 () (and @t285 @t548 @t825 @t351 @t578 @t617 @t280 @t593 @t666)) % 203.69/204.06 (define @t863 () (and @t285 @t548 @t825 @t359 @t351 @t578 @t617 @t593 @t666 @t602)) % 203.69/204.06 (define @t864 () (and @t14 @t285 @t548 @t825 @t351 @t578 @t617 @t593 @t666 @t602)) % 203.69/204.06 (define @t865 () (and @t347 @t390 @t274 @t394)) % 203.69/204.06 (define @t866 () (and @t337 @t390 @t274 @t394)) % 203.69/204.06 (define @t867 () (not @t224)) % 203.69/204.06 (define @t868 () (not @t227)) % 203.69/204.06 (define @t869 () (tptp.impl @t150 tptp.false2)) % 203.69/204.06 (define @t870 () (= (tptp.not2 @t150) @t869)) % 203.69/204.06 (define @t871 () (and @t744 @t782 @t531 @t341 @t795 @t770 @t347 @t753 @t540 @t544 @t551 @t548 @t585 @t870 @t578 @t588 @t280 @t593 @t618 @t789 @t602)) % 203.69/204.06 (define @t872 () (not @t870)) % 203.69/204.06 (define @t873 () (and @t337 @t744 @t782 @t531 @t341 @t795 @t770 @t753 @t540 @t544 @t551 @t548 @t585 @t870 @t578 @t588 @t280 @t593 @t618 @t789 @t602)) % 203.69/204.06 (define @t874 () (and @t531 @t341 @t540 @t544 @t551 @t548 @t321 @t578 @t252 @t828 @t588 @t280 @t593 @t618)) % 203.69/204.06 (define @t875 () (or @t346 (= @t505 @t284))) % 203.69/204.06 (define @t876 () (= @t284 @t505)) % 203.69/204.06 (define @t877 () (or @t346 @t876)) % 203.69/204.06 (define @t878 () (not @t876)) % 203.69/204.06 (define @t879 () (and @t359 @t285 @t825 @t518 @t876 @t351 @t508 @t459 @t567 @t225)) % 203.69/204.06 (define @t880 () (and @t487 @t333 @t569 @t518 @t494 @t489 @t469 @t459 @t567 @t225)) % 203.69/204.06 (define @t881 () (and @t588 @t657 @t401 @t631)) % 203.69/204.06 (define @t882 () (and @t527 @t744 @t782 @t531 @t341 @t795 @t770 @t753 @t540 @t544 @t551 @t548 @t585 @t792 @t578 @t588 @t280 @t589 @t593 @t789 @t602)) % 203.69/204.06 (define @t883 () (and @t744 @t782 @t531 @t341 @t795 @t770 @t523 @t753 @t540 @t544 @t551 @t548 @t585 @t792 @t578 @t588 @t280 @t589 @t593 @t789 @t602)) % 203.69/204.06 (define @t884 () (not @t218)) % 203.69/204.06 (define @t885 () (not @t254)) % 203.69/204.06 (define @t886 () (@list false false false)) % 203.69/204.06 (define @t887 () (_ @t171 @t170 @t318 tptp.false1)) % 203.69/204.06 (define @t888 () (tptp.forallprefers @t887 @t576)) % 203.69/204.06 (define @t889 () (= @t887 @t672)) % 203.69/204.06 (define @t890 () (not @t889)) % 203.69/204.06 (define @t891 () (not @t888)) % 203.69/204.06 (define @t892 () (not @t891)) % 203.69/204.06 (define @t893 () (and @t724 @t544 @t828 @t889 @t540 @t589 @t588 @t891)) % 203.69/204.06 (define @t894 () (= @t150 @t294)) % 203.69/204.06 (define @t895 () (not @t894)) % 203.69/204.06 (define @t896 () (and @t321 @t333 @t895)) % 203.69/204.06 (define @t897 () (tptp.impl @t319 @t219)) % 203.69/204.06 (define @t898 () (= (_ @t171 @t170 @t318 @t219) @t897)) % 203.69/204.06 (define @t899 () (not @t898)) % 203.69/204.06 (define @t900 () (and @t724 @t544 @t894 @t321 @t333 @t280 @t898 @t604 @t891)) % 203.69/204.06 (define @t901 () (and @t479 @t469 @t203)) % 203.69/204.06 (define @t902 () (and @t518 @t459 @t408 @t333 @t469 @t489 @t567 @t494 @t569)) % 203.69/204.06 (define @t903 () (@list false false false false)) % 203.69/204.06 (define @t904 () (@list false true)) % 203.69/204.06 (define @t905 () (@list @t413)) % 203.69/204.06 (define @t906 () (and @t659 @t333 @t321 @t894 @t618 @t341)) % 203.69/204.06 (assume @p1 @t8) % 203.69/204.06 (assume @p2 (and @t13 @t12 @t10)) % 203.69/204.06 (assume @p3 (and @t16 @t15 @t14)) % 203.69/204.06 (assume @p4 @t29) % 203.69/204.06 (assume @p5 @t34) % 203.69/204.06 (assume @p6 @t39) % 203.69/204.06 (assume @p7 @t42) % 203.69/204.06 (assume @p8 @t44) % 203.69/204.06 (assume @p9 @t53) % 203.69/204.06 (assume @p10 @t59) % 203.69/204.06 (assume @p11 @t63) % 203.69/204.06 (assume @p12 @t66) % 203.69/204.06 (assume @p13 (forall @t52 (=> @t51 (= (tptp.lazy_impl @t45 @t47) @t46)))) % 203.69/204.06 (assume @p14 @t68) % 203.69/204.06 (assume @p15 @t70) % 203.69/204.06 (assume @p16 (forall @t52 (=> @t51 (= @t71 @t46)))) % 203.69/204.06 (assume @p17 (forall @t52 (=> @t58 (= @t71 @t54)))) % 203.69/204.06 (assume @p18 (forall @t62 (=> @t56 (= (tptp.and1 tptp.false @t47) tptp.false)))) % 203.69/204.06 (assume @p19 (forall @t62 (=> @t56 (= (tptp.and1 tptp.true @t47) @t47)))) % 203.69/204.06 (assume @p20 (forall @t78 (= @t77 (tptp.lazy_impl @t76 (tptp.impl (tptp.impl @t75 @t74) @t72))))) % 203.69/204.06 (assume @p21 (forall @t82 (exists @t81 (and (= (tptp.and2 @t75 @t73) (tptp.phi @t77)) (not (exists @t80 (tptp.forallprefers (tptp.f1 @t75 @t73 @t79) @t77))))))) % 203.69/204.06 (assume @p22 (forall @t52 (=> @t51 (= (tptp.lazy_and1 @t45 @t47) @t46)))) % 203.69/204.06 (assume @p23 (forall @t62 (= (tptp.lazy_and1 tptp.false @t47) tptp.false))) % 203.69/204.06 (assume @p24 (forall @t62 (= (tptp.lazy_and1 tptp.true @t47) @t54))) % 203.69/204.06 (assume @p25 (forall @t78 (= @t83 (tptp.lazy_impl @t76 (tptp.impl (tptp.lazy_impl @t75 @t74) @t72))))) % 203.69/204.06 (assume @p26 (forall @t82 (exists @t81 (and (= (tptp.lazy_and2 @t75 @t73) (tptp.phi @t83)) (not (exists @t80 (tptp.forallprefers (tptp.f2 @t75 @t73 @t79) @t83))))))) % 203.69/204.06 (assume @p27 (forall @t52 (=> @t51 (= @t84 @t46)))) % 203.69/204.06 (assume @p28 (forall @t52 (=> @t58 (= @t84 @t54)))) % 203.69/204.06 (assume @p29 (forall @t62 (=> @t56 (= (tptp.or1 tptp.true @t47) tptp.true)))) % 203.69/204.06 (assume @p30 (forall @t62 (=> @t56 (= (tptp.or1 tptp.false @t47) @t47)))) % 203.69/204.06 (assume @p31 (forall @t78 (= @t85 (tptp.lazy_impl @t76 (tptp.impl (tptp.impl @t75 @t72) (tptp.impl @t74 @t72)))))) % 203.69/204.06 (assume @p32 (forall @t82 (exists @t81 (and (= (tptp.or2 @t75 @t73) (tptp.phi @t85)) (not (exists @t80 (tptp.forallprefers (tptp.f3 @t75 @t73 @t79) @t85))))))) % 203.69/204.06 (assume @p33 @t98) % 203.69/204.06 (assume @p34 @t100) % 203.69/204.06 (assume @p35 @t109) % 203.69/204.06 (assume @p36 @t111) % 203.69/204.06 (assume @p37 @t119) % 203.69/204.06 (assume @p38 (= tptp.false1 tptp.false)) % 203.69/204.06 (assume @p39 (forall @t97 (= @t120 (tptp.lazy_impl (tptp.prop @t75) @t75)))) % 203.69/204.06 (assume @p40 @t129) % 203.69/204.06 (assume @p41 @t133) % 203.69/204.06 (assume @p42 (= @t134 tptp.true)) % 203.69/204.06 (assume @p43 (= @t135 tptp.false)) % 203.69/204.06 (assume @p44 (forall @t97 (= (tptp.not2 @t75) (tptp.impl @t75 tptp.false2)))) % 203.69/204.06 (assume @p45 @t149) % 203.69/204.06 (assume @p46 true) % 203.69/204.06 (step @p47 :rule eq-symm :args (@t150 @t1)) % 203.69/204.06 (step @p48 :rule eq-symm :args (tptp.false1 @t1)) % 203.69/204.06 (step @p49 :rule nary_cong :premises (@p48 @p47) :args (@t153)) % 203.69/204.06 (step @p50 :rule refl :args (@t5)) % 203.69/204.06 (step @p51 :rule cong :premises (@p50 @p49) :args (@t154)) % 203.69/204.06 (step @p52 :rule cong :premises (@p51) :args ((forall @t7 @t154))) % 203.69/204.06 (step @p53 :rule refl :args (@t1)) % 203.69/204.06 (step @p54 :rule symm :premises (@p38)) % 203.69/204.06 (step @p55 :rule cong :premises (@p54) :args (@t134)) % 203.69/204.06 (step @p56 :rule refl :args (tptp.true)) % 203.69/204.06 (step @p57 :rule cong :premises (@p56 @p55) :args ((= tptp.true @t134))) % 203.69/204.06 (step @p58 :rule symm :premises (@p42)) % 203.69/204.06 (step @p59 :rule eq_resolve :premises (@p58 @p57)) % 203.69/204.06 (step @p60 :rule cong :premises (@p59 @p53) :args (@t155)) % 203.69/204.06 (step @p61 :rule cong :premises (@p54 @p53) :args (@t156)) % 203.69/204.06 (step @p62 :rule nary_cong :premises (@p61 @p60) :args (@t157)) % 203.69/204.06 (step @p63 :rule cong :premises (@p50 @p62) :args (@t158)) % 203.69/204.06 (step @p64 :rule cong :premises (@p63) :args ((forall @t7 @t158))) % 203.69/204.06 (step @p65 :rule trans :premises (@p64 @p52)) % 203.69/204.06 (step @p66 :rule eq-symm :args (@t1 tptp.true)) % 203.69/204.06 (step @p67 :rule eq-symm :args (@t1 tptp.false)) % 203.69/204.06 (step @p68 :rule nary_cong :premises (@p67 @p66) :args (@t4)) % 203.69/204.06 (step @p69 :rule cong :premises (@p50 @p68) :args (@t6)) % 203.69/204.06 (step @p70 :rule cong :premises (@p69) :args (@t8)) % 203.69/204.06 (step @p71 :rule trans :premises (@p70 @p65)) % 203.69/204.06 (step @p72 :rule eq_resolve :premises (@p1 @p71)) % 203.69/204.06 (step @p73 :rule eq-symm :args (@t180 @t150)) % 203.69/204.06 (step @p74 :rule eq-symm :args (@t180 tptp.false1)) % 203.69/204.06 (step @p75 :rule nary_cong :premises (@p74 @p73) :args (@t182)) % 203.69/204.06 (step @p76 :rule refl :args (@t183)) % 203.69/204.06 (step @p77 :rule cong :premises (@p76 @p75) :args (@t184)) % 203.69/204.06 (step @p78 :rule refl :args (@t187)) % 203.69/204.06 (step @p79 :rule cong :premises (@p78 @p77) :args ((=> @t187 @t184))) % 203.69/204.06 (assume-push @p5850 @t187) % 203.69/204.06 (step @p81 :rule instantiate :premises (@p72) :args ((@list @t180))) % 203.69/204.06 (step-pop @p5851 :rule scope :premises (@p81)) % 203.69/204.06 (step @p82 :rule process_scope :premises (@p5851) :args (@t184)) % 203.69/204.06 (step @p84 :rule eq_resolve :premises (@p82 @p79)) % 203.69/204.06 (step @p85 :rule implies_elim :premises (@p84)) % 203.69/204.06 (step @p86 :rule chain_m_resolution :premises (@p85 @p72) :args (@t191 @t192 @t193)) % 203.69/204.06 (step @p87 :rule eq-symm :args (@t198 @t150)) % 203.69/204.06 (step @p88 :rule eq-symm :args (@t198 tptp.false1)) % 203.69/204.06 (step @p89 :rule nary_cong :premises (@p88 @p87) :args (@t200)) % 203.69/204.06 (step @p90 :rule refl :args (@t201)) % 203.69/204.06 (step @p91 :rule cong :premises (@p90 @p89) :args (@t202)) % 203.69/204.06 (step @p92 :rule cong :premises (@p78 @p91) :args ((=> @t187 @t202))) % 203.69/204.06 (assume-push @p5852 @t187) % 203.69/204.06 (step @p94 :rule instantiate :premises (@p72) :args ((@list @t198))) % 203.69/204.06 (step-pop @p5853 :rule scope :premises (@p94)) % 203.69/204.06 (step @p95 :rule process_scope :premises (@p5853) :args (@t202)) % 203.69/204.06 (step @p97 :rule eq_resolve :premises (@p95 @p92)) % 203.69/204.06 (step @p98 :rule implies_elim :premises (@p97)) % 203.69/204.06 (step @p99 :rule chain_m_resolution :premises (@p98 @p72) :args (@t206 @t192 @t193)) % 203.69/204.06 (step @p100 :rule eq-symm :args (@t150 @t17)) % 203.69/204.06 (step @p101 :rule nary_cong :premises (@p48 @p100) :args (@t207)) % 203.69/204.06 (step @p102 :rule refl :args (@t22)) % 203.69/204.06 (step @p103 :rule refl :args (@t24)) % 203.69/204.06 (step @p104 :rule nary_cong :premises (@p103 @p102 @p101) :args (@t208)) % 203.69/204.06 (step @p105 :rule refl :args (@t26)) % 203.69/204.06 (step @p106 :rule cong :premises (@p105 @p104) :args (@t209)) % 203.69/204.06 (step @p107 :rule cong :premises (@p106) :args ((forall @t28 @t209))) % 203.69/204.06 (step @p108 :rule refl :args (@t17)) % 203.69/204.06 (step @p109 :rule cong :premises (@p59 @p108) :args (@t210)) % 203.69/204.06 (step @p110 :rule nary_cong :premises (@p61 @p109) :args (@t211)) % 203.69/204.06 (step @p111 :rule nary_cong :premises (@p103 @p102 @p110) :args (@t212)) % 203.69/204.06 (step @p112 :rule cong :premises (@p105 @p111) :args (@t213)) % 203.69/204.06 (step @p113 :rule cong :premises (@p112) :args ((forall @t28 @t213))) % 203.69/204.06 (step @p114 :rule trans :premises (@p113 @p107)) % 203.69/204.06 (step @p115 :rule eq-symm :args (@t17 tptp.true)) % 203.69/204.06 (step @p116 :rule nary_cong :premises (@p67 @p115) :args (@t18)) % 203.69/204.06 (step @p117 :rule nary_cong :premises (@p103 @p102 @p116) :args (@t25)) % 203.69/204.06 (step @p118 :rule cong :premises (@p105 @p117) :args (@t27)) % 203.69/204.06 (step @p119 :rule cong :premises (@p118) :args (@t29)) % 203.69/204.06 (step @p120 :rule trans :premises (@p119 @p114)) % 203.69/204.06 (step @p121 :rule eq_resolve :premises (@p4 @p120)) % 203.69/204.06 (step @p122 :rule eq-symm :args (@t220 @t150)) % 203.69/204.06 (step @p123 :rule eq-symm :args (@t221 tptp.false1)) % 203.69/204.06 (step @p124 :rule nary_cong :premises (@p123 @p122) :args (@t223)) % 203.69/204.06 (step @p125 :rule refl :args (@t229)) % 203.69/204.06 (step @p126 :rule refl :args (@t231)) % 203.69/204.06 (step @p127 :rule nary_cong :premises (@p126 @p125 @p124) :args (@t232)) % 203.69/204.06 (step @p128 :rule refl :args (@t233)) % 203.69/204.06 (step @p129 :rule cong :premises (@p128 @p127) :args (@t234)) % 203.69/204.06 (step @p130 :rule refl :args (@t235)) % 203.69/204.06 (step @p131 :rule cong :premises (@p130 @p129) :args ((=> @t235 @t234))) % 203.69/204.06 (assume-push @p5854 @t235) % 203.69/204.06 (step @p133 :rule instantiate :premises (@p121) :args ((@list @t221 @t220))) % 203.69/204.06 (step-pop @p5855 :rule scope :premises (@p133)) % 203.69/204.06 (step @p134 :rule process_scope :premises (@p5855) :args (@t234)) % 203.69/204.06 (step @p136 :rule eq_resolve :premises (@p134 @p131)) % 203.69/204.06 (step @p137 :rule implies_elim :premises (@p136)) % 203.69/204.06 (step @p138 :rule chain_m_resolution :premises (@p137 @p121) :args (@t238 @t192 @t239)) % 203.69/204.06 ; WARNING: add trust step for TRUST % 203.69/204.06 ; trust TRUST PREPROCESS_SORT_INFER % 203.69/204.06 (step @p139 :rule trust :premises () :args ((= (forall @t97 (not (forall @t81 (or (not @t116) @t244)))) @t242))) % 203.69/204.06 (step @p140 :rule bool-and-de-morgan :args (@t116 @t243 true)) % 203.69/204.06 (step @p141 :rule cong :premises (@p140) :args (@t246)) % 203.69/204.06 (step @p142 :rule cong :premises (@p141) :args (@t247)) % 203.69/204.06 (step @p143 :rule exists-elim :args ((= (exists @t81 @t245) @t247))) % 203.69/204.06 (step @p144 :rule trans :premises (@p143 @p142)) % 203.69/204.06 (step @p145 :rule bool-double-not-elim :args (@t243)) % 203.69/204.06 (step @p146 :rule exists-elim :args ((= @t113 @t244))) % 203.69/204.06 (step @p147 :rule cong :premises (@p146) :args (@t114)) % 203.69/204.06 (step @p148 :rule trans :premises (@p147 @p145)) % 203.69/204.06 (step @p149 :rule refl :args (@t116)) % 203.69/204.06 (step @p150 :rule nary_cong :premises (@p149 @p148) :args (@t117)) % 203.69/204.06 (step @p151 :rule cong :premises (@p150) :args (@t118)) % 203.69/204.06 (step @p152 :rule trans :premises (@p151 @p144)) % 203.69/204.06 (step @p153 :rule cong :premises (@p152) :args (@t119)) % 203.69/204.06 (step @p154 :rule trans :premises (@p153 @p139)) % 203.69/204.06 (step @p155 :rule eq_resolve :premises (@p37 @p154)) % 203.69/204.06 (step @p156 :rule instantiate :premises (@p155) :args (@t248)) % 203.69/204.06 (step @p157 :rule skolemize :premises (@p156)) % 203.69/204.06 (step @p158 :rule bool-double-not-elim :args (@t249)) % 203.69/204.06 (step @p159 :rule refl :args (@t254)) % 203.69/204.06 (step @p160 :rule nary_cong :premises (@p159 @p158) :args ((or @t254 (not @t250)))) % 203.69/204.06 (step @p161 :rule cnf_or_neg :args (@t254 1)) % 203.69/204.06 (step @p162 :rule eq_resolve :premises (@p161 @p160)) % 203.69/204.06 (step @p163 :rule reordering :premises (@p162) :args ((or @t249 @t254))) % 203.69/204.06 (step @p164 :rule chain_m_resolution :premises (@p163 @p157) :args (@t249 @t255 @t256)) % 203.69/204.06 (step @p165 :rule instantiate :premises (@p164) :args (@t257)) % 203.69/204.06 (step @p166 :rule cnf_equiv_pos2 :args (@t238)) % 203.69/204.06 (step @p167 :rule reordering :premises (@p166) :args ((or @t233 @t258 (not @t238)))) % 203.69/204.06 (step @p168 :rule chain_m_resolution :premises (@p167 @p165 @p138) :args (@t258 @t259 (@list @t233 @t238))) % 203.69/204.06 (step @p169 :rule cnf_or_neg :args (@t237 1)) % 203.69/204.06 (step @p170 :rule chain_m_resolution :premises (@p169 @p168) :args ((not @t229) @t255 @t260)) % 203.69/204.06 (step @p171 :rule cnf_or_neg :args (@t237 0)) % 203.69/204.06 (step @p172 :rule chain_m_resolution :premises (@p171 @p168) :args ((not @t231) @t255 @t260)) % 203.69/204.06 (step @p173 :rule refl :args (@t47)) % 203.69/204.06 (step @p174 :rule cong :premises (@p54 @p173) :args (@t67)) % 203.69/204.06 (step @p175 :rule cong :premises (@p59 @p174) :args (@t261)) % 203.69/204.06 (step @p176 :rule cong :premises (@p175) :args ((forall @t62 @t261))) % 203.69/204.06 (step @p177 :rule eq-symm :args (@t67 tptp.true)) % 203.69/204.06 (step @p178 :rule cong :premises (@p177) :args (@t68)) % 203.69/204.06 (step @p179 :rule trans :premises (@p178 @p176)) % 203.69/204.06 (step @p180 :rule eq_resolve :premises (@p14 @p179)) % 203.69/204.06 (step @p181 :rule instantiate :premises (@p180) :args ((@list @t263))) % 203.69/204.06 (step @p182 :rule eq-symm :args (tptp.false1 @t40)) % 203.69/204.06 (step @p183 :rule refl :args (@t19)) % 203.69/204.06 (step @p184 :rule cong :premises (@p183 @p182) :args (@t264)) % 203.69/204.06 (step @p185 :rule cong :premises (@p184) :args ((forall @t7 @t264))) % 203.69/204.06 (step @p186 :rule refl :args (@t40)) % 203.69/204.06 (step @p187 :rule cong :premises (@p54 @p186) :args (@t265)) % 203.69/204.06 (step @p188 :rule cong :premises (@p183 @p187) :args (@t266)) % 203.69/204.06 (step @p189 :rule cong :premises (@p188) :args ((forall @t7 @t266))) % 203.69/204.06 (step @p190 :rule trans :premises (@p189 @p185)) % 203.69/204.06 (step @p191 :rule eq-symm :args (@t40 tptp.false)) % 203.69/204.06 (step @p192 :rule cong :premises (@p183 @p191) :args ((= @t19 @t43))) % 203.69/204.06 (step @p193 :rule eq-symm :args (@t43 @t19)) % 203.69/204.06 (step @p194 :rule trans :premises (@p193 @p192)) % 203.69/204.06 (step @p195 :rule cong :premises (@p194) :args (@t44)) % 203.69/204.06 (step @p196 :rule trans :premises (@p195 @p190)) % 203.69/204.06 (step @p197 :rule eq_resolve :premises (@p8 @p196)) % 203.69/204.06 (step @p198 :rule refl :args (@t268)) % 203.69/204.06 (step @p199 :rule eq-symm :args (@t269 tptp.false1)) % 203.69/204.06 (step @p200 :rule cong :premises (@p199 @p198) :args ((= @t270 @t268))) % 203.69/204.06 (step @p201 :rule eq-symm :args (@t268 @t270)) % 203.69/204.06 (step @p202 :rule trans :premises (@p201 @p200)) % 203.69/204.06 (step @p203 :rule refl :args (@t271)) % 203.69/204.06 (step @p204 :rule cong :premises (@p203 @p202) :args ((=> @t271 @t272))) % 203.69/204.06 (assume-push @p5856 @t271) % 203.69/204.06 (step @p206 :rule instantiate :premises (@p197) :args (@t273)) % 203.69/204.06 (step-pop @p5857 :rule scope :premises (@p206)) % 203.69/204.06 (step @p207 :rule process_scope :premises (@p5857) :args (@t272)) % 203.69/204.06 (step @p209 :rule eq_resolve :premises (@p207 @p204)) % 203.69/204.06 (step @p210 :rule implies_elim :premises (@p209)) % 203.69/204.06 (step @p211 :rule chain_m_resolution :premises (@p210 @p197) :args (@t275 @t192 @t276)) % 203.69/204.06 (step @p212 :rule eq-symm :args (@t219 @t150)) % 203.69/204.06 (step @p213 :rule eq-symm :args (@t219 tptp.false1)) % 203.69/204.06 (step @p214 :rule nary_cong :premises (@p213 @p212) :args (@t277)) % 203.69/204.06 (step @p215 :rule refl :args (@t267)) % 203.69/204.06 (step @p216 :rule cong :premises (@p215 @p214) :args (@t278)) % 203.69/204.06 (step @p217 :rule cong :premises (@p78 @p216) :args ((=> @t187 @t278))) % 203.69/204.06 (assume-push @p5858 @t187) % 203.69/204.06 (step @p219 :rule instantiate :premises (@p72) :args (@t273)) % 203.69/204.06 (step-pop @p5859 :rule scope :premises (@p219)) % 203.69/204.06 (step @p220 :rule process_scope :premises (@p5859) :args (@t278)) % 203.69/204.06 (step @p222 :rule eq_resolve :premises (@p220 @p217)) % 203.69/204.06 (step @p223 :rule implies_elim :premises (@p222)) % 203.69/204.06 (step @p224 :rule chain_m_resolution :premises (@p223 @p72) :args (@t282 @t192 @t193)) % 203.69/204.06 (step @p225 :rule bool-double-not-elim :args (@t252)) % 203.69/204.06 (step @p226 :rule nary_cong :premises (@p159 @p225) :args ((or @t254 (not @t253)))) % 203.69/204.06 (step @p227 :rule cnf_or_neg :args (@t254 0)) % 203.69/204.06 (step @p228 :rule eq_resolve :premises (@p227 @p226)) % 203.69/204.06 (step @p229 :rule reordering :premises (@p228) :args ((or @t252 @t254))) % 203.69/204.06 (step @p230 :rule chain_m_resolution :premises (@p229 @p157) :args (@t252 @t255 @t256)) % 203.69/204.06 (step @p231 :rule eq-symm :args (@t35 tptp.err)) % 203.69/204.06 (step @p232 :rule refl :args (@t23)) % 203.69/204.06 (step @p233 :rule nary_cong :premises (@p232 @p231) :args (@t36)) % 203.69/204.06 (step @p234 :rule eq-symm :args (@t35 @t1)) % 203.69/204.06 (step @p235 :rule refl :args (@t21)) % 203.69/204.06 (step @p236 :rule nary_cong :premises (@p235 @p234) :args (@t37)) % 203.69/204.06 (step @p237 :rule nary_cong :premises (@p236 @p233) :args (@t38)) % 203.69/204.06 (step @p238 :rule cong :premises (@p237) :args (@t39)) % 203.69/204.06 (step @p239 :rule eq_resolve :premises (@p6 @p238)) % 203.69/204.06 (step @p240 :rule instantiate :premises (@p239) :args (@t283)) % 203.69/204.06 (step @p241 :rule and_elim :premises (@p3) :args (2)) % 203.69/204.06 (step @p242 :rule cnf_and_pos :args (@t287 0)) % 203.69/204.06 (step @p243 :rule reordering :premises (@p242) :args ((or @t286 @t288))) % 203.69/204.06 (step @p244 :rule chain_m_resolution :premises (@p243 @p241) :args (@t288 @t192 (@list @t14))) % 203.69/204.06 (step @p245 :rule cnf_or_pos :args (@t290)) % 203.69/204.06 (step @p246 :rule reordering :premises (@p245) :args ((or @t289 @t287 (not @t290)))) % 203.69/204.06 (step @p247 :rule chain_m_resolution :premises (@p246 @p244 @p240) :args (@t289 @t259 (@list @t287 @t290))) % 203.69/204.06 (step @p248 :rule cnf_and_pos :args (@t289 1)) % 203.69/204.06 (step @p249 :rule reordering :premises (@p248) :args ((or @t285 (not @t289)))) % 203.69/204.06 (step @p250 :rule chain_m_resolution :premises (@p249 @p247) :args (@t285 @t192 (@list @t289))) % 203.69/204.06 ; trust TRUST PREPROCESS_SORT_INFER % 203.69/204.06 (step @p251 :rule trust :premises () :args ((= (not (forall @t97 (or (not @t293) @t136))) @t291))) % 203.69/204.06 (step @p252 :rule bool-impl-elim :args (@t293 @t136)) % 203.69/204.06 (step @p253 :rule cong :premises (@p252) :args ((forall @t97 (=> @t293 @t136)))) % 203.69/204.06 (step @p254 :rule refl :args (@t136)) % 203.69/204.06 (step @p255 :rule aci_norm :args ((= (or (or @t142 @t140) @t139) @t292))) % 203.69/204.06 (step @p256 :rule refl :args (@t139)) % 203.69/204.06 (step @p257 :rule bool-double-not-elim :args (@t140)) % 203.69/204.06 (step @p258 :rule bool-double-not-elim :args (@t142)) % 203.69/204.06 (step @p259 :rule nary_cong :premises (@p258 @p257) :args ((or (not @t143) (not @t141)))) % 203.69/204.06 (step @p260 :rule bool-and-de-morgan :args (@t143 @t141 true)) % 203.69/204.06 (step @p261 :rule trans :premises (@p260 @p259)) % 203.69/204.06 (step @p262 :rule nary_cong :premises (@p261 @p256) :args ((or (not @t144) @t139))) % 203.69/204.06 (step @p263 :rule trans :premises (@p262 @p255)) % 203.69/204.06 (step @p264 :rule bool-impl-elim :args (@t144 @t139)) % 203.69/204.06 (step @p265 :rule trans :premises (@p264 @p263)) % 203.69/204.06 (step @p266 :rule cong :premises (@p265) :args (@t146)) % 203.69/204.06 (step @p267 :rule cong :premises (@p266 @p254) :args (@t147)) % 203.69/204.06 (step @p268 :rule cong :premises (@p267) :args (@t148)) % 203.69/204.06 (step @p269 :rule trans :premises (@p268 @p253)) % 203.69/204.06 (step @p270 :rule cong :premises (@p269) :args (@t149)) % 203.69/204.06 (step @p271 :rule trans :premises (@p270 @p251)) % 203.69/204.06 (step @p272 :rule eq_resolve :premises (@p45 @p271)) % 203.69/204.06 (step @p273 :rule skolemize :premises (@p272)) % 203.69/204.06 (step @p274 :rule cnf_or_neg :args (@t300 1)) % 203.69/204.06 (step @p275 :rule chain_m_resolution :premises (@p274 @p273) :args (@t301 @t255 @t302)) % 203.69/204.06 ; trust TRUST PREPROCESS_SORT_INFER % 203.69/204.06 (step @p276 :rule trust :premises () :args ((= (forall @t97 (not (forall @t7 (or (not @t94) @t311)))) @t309))) % 203.69/204.06 (step @p277 :rule bool-and-de-morgan :args (@t94 @t310 true)) % 203.69/204.06 (step @p278 :rule cong :premises (@p277) :args (@t313)) % 203.69/204.06 (step @p279 :rule cong :premises (@p278) :args (@t314)) % 203.69/204.06 (step @p280 :rule exists-elim :args ((= (exists @t7 @t312) @t314))) % 203.69/204.06 (step @p281 :rule trans :premises (@p280 @p279)) % 203.69/204.06 (step @p282 :rule bool-double-not-elim :args (@t310)) % 203.69/204.06 (step @p283 :rule exists-elim :args ((= @t91 @t311))) % 203.69/204.06 (step @p284 :rule cong :premises (@p283) :args (@t92)) % 203.69/204.06 (step @p285 :rule trans :premises (@p284 @p282)) % 203.69/204.06 (step @p286 :rule refl :args (@t94)) % 203.69/204.06 (step @p287 :rule nary_cong :premises (@p286 @p285) :args (@t95)) % 203.69/204.06 (step @p288 :rule cong :premises (@p287) :args (@t96)) % 203.69/204.06 (step @p289 :rule trans :premises (@p288 @p281)) % 203.69/204.06 (step @p290 :rule cong :premises (@p289) :args (@t98)) % 203.69/204.06 (step @p291 :rule trans :premises (@p290 @p276)) % 203.69/204.06 (step @p292 :rule eq_resolve :premises (@p33 @p291)) % 203.69/204.06 (step @p293 :rule instantiate :premises (@p292) :args (@t248)) % 203.69/204.06 (step @p294 :rule skolemize :premises (@p293)) % 203.69/204.06 (step @p295 :rule bool-double-not-elim :args (@t321)) % 203.69/204.06 (step @p296 :rule refl :args (@t325)) % 203.69/204.06 (step @p297 :rule nary_cong :premises (@p296 @p295) :args ((or @t325 (not @t324)))) % 203.69/204.06 (step @p298 :rule cnf_or_neg :args (@t325 0)) % 203.69/204.06 (step @p299 :rule eq_resolve :premises (@p298 @p297)) % 203.69/204.06 (step @p300 :rule reordering :premises (@p299) :args ((or @t321 @t325))) % 203.69/204.06 (step @p301 :rule chain_m_resolution :premises (@p300 @p294) :args (@t321 @t255 @t326)) % 203.69/204.06 (step @p302 :rule refl :args (@t328)) % 203.69/204.06 (step @p303 :rule refl :args (@t324)) % 203.69/204.06 (step @p304 :rule refl :args (@t329)) % 203.69/204.06 (step @p305 :rule refl :args (@t331)) % 203.69/204.06 (step @p306 :rule bool-double-not-elim :args (@t295)) % 203.69/204.06 (step @p307 :rule nary_cong :premises (@p306 @p305 @p304 @p303 @p302) :args ((or @t332 @t331 @t329 @t324 @t328))) % 203.69/204.06 (assume-push @p5860 @t285) % 203.69/204.06 (assume-push @p5861 @t327) % 203.69/204.06 (assume-push @p5862 @t333) % 203.69/204.06 (assume-push @p5863 @t321) % 203.69/204.06 (assume-push @p5864 @t330) % 203.69/204.06 (assume-push @p5865 @t301) % 203.69/204.06 (step @p314 :rule evaluate :args (@t334)) % 203.69/204.06 (step @p315 :rule symm :premises (@p5864)) % 203.69/204.06 (step @p316 :rule trans :premises (@p315 @p250)) % 203.69/204.06 (step @p317 :rule symm :premises (@p316)) % 203.69/204.06 (step @p318 :rule symm :premises (@p5861)) % 203.69/204.06 (step @p319 :rule symm :premises (@p5862)) % 203.69/204.06 (step @p320 :rule trans :premises (@p301 @p319 @p318)) % 203.69/204.06 (step @p321 :rule trans :premises (@p320 @p250 @p317)) % 203.69/204.06 (step @p322 :rule true_intro :premises (@p321)) % 203.69/204.06 (step @p323 :rule false_intro :premises (@p275)) % 203.69/204.06 (step @p324 :rule symm :premises (@p323)) % 203.69/204.06 (step @p325 :rule trans :premises (@p324 @p322)) % 203.69/204.06 (step @p326 false :rule eq_resolve :premises (@p325 @p314)) % 203.69/204.06 (step-pop @p5866 :rule scope :premises (@p326)) % 203.69/204.06 (step-pop @p5867 :rule scope :premises (@p5866)) % 203.69/204.06 (step-pop @p5868 :rule scope :premises (@p5867)) % 203.69/204.06 (step-pop @p5869 :rule scope :premises (@p5868)) % 203.69/204.06 (step-pop @p5870 :rule scope :premises (@p5869)) % 203.69/204.06 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@p5945 @t330) % 203.69/204.07 (assume-push @p5946 @t285) % 203.69/204.07 (assume-push @p5947 @t321) % 203.69/204.07 (assume-push @p5948 @t401) % 203.69/204.07 (step @p615 :rule and_intro :premises (@p250 @p5948 @p301 @p5945 @p275)) % 203.69/204.07 (step-pop @p5949 :rule scope :premises (@p615)) % 203.69/204.07 (step-pop @p5950 :rule scope :premises (@p5949)) % 203.69/204.07 (step-pop @p5951 :rule scope :premises (@p5950)) % 203.69/204.07 (step-pop @p5952 :rule scope :premises (@p5951)) % 203.69/204.07 (step-pop @p5953 :rule scope :premises (@p5952)) % 203.69/204.07 (step @p616 :rule process_scope :premises (@p5953) :args (@t403)) % 203.69/204.07 (step @p622 :rule implies_elim :premises (@p616)) % 203.69/204.07 (step @p623 :rule resolution :premises (@p622 @p604) :args (true @t403)) % 203.69/204.07 (step @p624 :rule not_and :premises (@p623)) % 203.69/204.07 (step @p625 :rule eq_resolve :premises (@p624 @p589)) % 203.69/204.07 (assume-push @p5954 @t309) % 203.69/204.07 (step-pop @p5955 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(step @p642 :rule refl :args (@t407)) % 203.69/204.07 (step @p643 :rule bool-double-not-elim :args (@t169)) % 203.69/204.07 (step @p644 :rule nary_cong :premises (@p643 @p642) :args ((or (not @t291) @t407))) % 203.69/204.07 (assume-push @p5960 @t291) % 203.69/204.07 (step-pop @p5961 :rule scope :premises (@p273)) % 203.69/204.07 (step @p646 :rule process_scope :premises (@p5961) :args (@t407)) % 203.69/204.07 (step @p648 :rule implies_elim :premises (@p646)) % 203.69/204.07 (step @p649 :rule eq_resolve :premises (@p648 @p644)) % 203.69/204.07 (step @p650 :rule cnf_and_pos :args (@t410 1)) % 203.69/204.07 (step @p651 :rule reordering :premises (@p650) :args ((or @t401 @t411))) % 203.69/204.07 (assume-push @p5962 @t406) % 203.69/204.07 (step @p653 :rule instantiate :premises (@p239) :args (@t412)) % 203.69/204.07 (step-pop @p5963 :rule scope :premises (@p653)) % 203.69/204.07 (step @p654 :rule process_scope :premises (@p5963) :args (@t414)) % 203.69/204.07 (step @p656 :rule implies_elim 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@p671 :rule trans :premises (@p670 @p250 @p669)) % 203.69/204.07 (step @p672 :rule true_intro :premises (@p671)) % 203.69/204.07 (step @p323 :rule false_intro :premises (@p275)) % 203.69/204.07 (step @p324 :rule symm :premises (@p323)) % 203.69/204.07 (step @p673 :rule trans :premises (@p324 @p672)) % 203.69/204.07 (step @p674 false :rule eq_resolve :premises (@p673 @p314)) % 203.69/204.07 (step-pop @p5968 :rule scope :premises (@p674)) % 203.69/204.07 (step-pop @p5969 :rule scope :premises (@p5968)) % 203.69/204.07 (step-pop @p5970 :rule scope :premises (@p5969)) % 203.69/204.07 (step-pop @p5971 :rule scope :premises (@p5970)) % 203.69/204.07 (step @p675 :rule process_scope :premises (@p5971) :args (false)) % 203.69/204.07 (assume-push @p5972 @t301) % 203.69/204.07 (assume-push @p5973 @t330) % 203.69/204.07 (assume-push @p5974 @t285) % 203.69/204.07 (assume-push @p5975 @t416) % 203.69/204.07 (step @p684 :rule and_intro :premises (@p250 @p5975 @p5973 @p275)) % 203.69/204.07 (step-pop 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203.69/204.07 (step @p699 :rule refl :args (@t32)) % 203.69/204.07 (step @p700 :rule cong :premises (@p699 @p698) :args (@t421)) % 203.69/204.07 (step @p701 :rule cong :premises (@p700) :args ((forall @t28 @t421))) % 203.69/204.07 (step @p702 :rule cong :premises (@p54 @p108) :args (@t422)) % 203.69/204.07 (step @p703 :rule nary_cong :premises (@p60 @p702) :args (@t423)) % 203.69/204.07 (step @p704 :rule nary_cong :premises (@p103 @p102 @p703) :args (@t424)) % 203.69/204.07 (step @p705 :rule cong :premises (@p699 @p704) :args (@t425)) % 203.69/204.07 (step @p706 :rule cong :premises (@p705) :args ((forall @t28 @t425))) % 203.69/204.07 (step @p707 :rule trans :premises (@p706 @p701)) % 203.69/204.07 (step @p708 :rule eq-symm :args (@t17 tptp.false)) % 203.69/204.07 (step @p709 :rule nary_cong :premises (@p66 @p708) :args (@t30)) % 203.69/204.07 (step @p710 :rule nary_cong :premises (@p103 @p102 @p709) :args (@t31)) % 203.69/204.07 (step @p711 :rule cong :premises (@p699 @p710) :args 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@p5981 :rule scope :premises (@p725)) % 203.69/204.07 (step @p726 :rule process_scope :premises (@p5981) :args (@t436)) % 203.69/204.07 (step @p728 :rule eq_resolve :premises (@p726 @p723)) % 203.69/204.07 (step @p729 :rule implies_elim :premises (@p728)) % 203.69/204.07 (step @p730 :rule bool-double-not-elim :args (@t322)) % 203.69/204.07 (step @p731 :rule nary_cong :premises (@p296 @p730) :args ((or @t325 (not @t323)))) % 203.69/204.07 (step @p732 :rule cnf_or_neg :args (@t325 1)) % 203.69/204.07 (step @p733 :rule eq_resolve :premises (@p732 @p731)) % 203.69/204.07 (step @p734 :rule reordering :premises (@p733) :args ((or @t322 @t325))) % 203.69/204.07 (assume-push @p5982 @t322) % 203.69/204.07 (step @p736 :rule skolemize :premises (@p293)) % 203.69/204.07 (step @p737 :rule chain_m_resolution :premises (@p734 @p736) :args (@t322 @t255 @t326)) % 203.69/204.07 (step @p738 :rule instantiate :premises (@p737) :args ((@list @t197))) % 203.69/204.07 (step-pop @p5983 :rule scope :premises (@p738)) % 203.69/204.07 (step @p739 :rule process_scope :premises (@p5983) :args (@t438)) % 203.69/204.07 (step @p741 :rule implies_elim :premises (@p739)) % 203.69/204.07 (step @p742 :rule cnf_equiv_pos2 :args (@t441)) % 203.69/204.07 (step @p743 :rule reordering :premises (@p742) :args ((or @t435 @t442 (not @t441)))) % 203.69/204.07 (step @p744 :rule cnf_or_neg :args (@t440 0)) % 203.69/204.07 (step @p745 :rule refl :args (@t409)) % 203.69/204.07 (step @p746 :rule bool-double-not-elim :args (@t430)) % 203.69/204.07 (step @p747 :rule nary_cong :premises (@p718 @p746 @p745) :args ((or @t433 (not @t432) @t409))) % 203.69/204.07 (step @p748 :rule cnf_and_neg :args (@t433)) % 203.69/204.07 (step @p749 :rule eq_resolve :premises (@p748 @p747)) % 203.69/204.07 (step @p750 :rule reordering :premises (@p749) :args ((or @t409 @t430 @t433))) % 203.69/204.07 (step @p751 :rule cong :premises (@p54 @p173) :args (@t60)) % 203.69/204.07 (step @p752 :rule cong :premises (@p59 @p751) :args (@t443)) % 203.69/204.07 (step @p753 :rule refl :args (@t57)) % 203.69/204.07 (step @p754 :rule nary_cong :premises (@p753 @p752) :args (@t444)) % 203.69/204.07 (step @p755 :rule cong :premises (@p754) :args ((forall @t62 @t444))) % 203.69/204.07 (step @p756 :rule bool-impl-elim :args (@t56 @t443)) % 203.69/204.07 (step @p757 :rule cong :premises (@p756) :args ((forall @t62 (=> @t56 @t443)))) % 203.69/204.07 (step @p758 :rule eq-symm :args (@t60 tptp.true)) % 203.69/204.07 (step @p759 :rule refl :args (@t56)) % 203.69/204.07 (step @p760 :rule cong :premises (@p759 @p758) :args (@t61)) % 203.69/204.07 (step @p761 :rule cong :premises (@p760) :args (@t63)) % 203.69/204.07 (step @p762 :rule trans :premises (@p761 @p757)) % 203.69/204.07 (step @p763 :rule trans :premises (@p762 @p755)) % 203.69/204.07 (step @p764 :rule eq_resolve :premises (@p11 @p763)) % 203.69/204.07 (step @p765 :rule instantiate :premises (@p764) :args (@t257)) % 203.69/204.07 (step @p766 :rule cnf_or_pos :args (@t447)) % 203.69/204.07 (step @p767 :rule reordering :premises (@p766) :args ((or @t348 @t446 (not @t447)))) % 203.69/204.07 (step @p768 :rule chain_m_resolution :premises (@p767 @p465 @p765) :args (@t446 @t448 (@list @t347 @t447))) % 203.69/204.07 ; trust TRUST PREPROCESS_SORT_INFER % 203.69/204.07 (step @p769 :rule trust :premises () :args ((= (forall @t108 (not (forall @t7 (or (not @t105) @t452)))) (forall (@list @t449 @t72) (not (forall @t178 (or (not (= (_ @t176 @t449 @t72) (tptp.phi @t450))) (not (forall @t175 (not (tptp.forallprefers (_ @t171 @t449 @t173 @t72) @t450))))))))))) % 203.69/204.07 (step @p770 :rule bool-and-de-morgan :args (@t105 @t451 true)) % 203.69/204.07 (step @p771 :rule cong :premises (@p770) :args (@t454)) % 203.69/204.07 (step @p772 :rule cong :premises (@p771) :args (@t455)) % 203.69/204.07 (step @p773 :rule exists-elim :args ((= (exists @t7 @t453) @t455))) % 203.69/204.07 (step @p774 :rule trans :premises (@p773 @p772)) % 203.69/204.07 (step @p775 :rule 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203.69/204.07 (step @p790 :rule nary_cong :premises (@p789 @p788) :args ((or @t463 (not @t462)))) % 203.69/204.07 (step @p791 :rule cnf_or_neg :args (@t463 0)) % 203.69/204.07 (step @p792 :rule eq_resolve :premises (@p791 @p790)) % 203.69/204.07 (step @p793 :rule reordering :premises (@p792) :args ((or @t459 @t463))) % 203.69/204.07 (step @p794 :rule chain_m_resolution :premises (@p793 @p787) :args (@t459 @t255 @t464)) % 203.69/204.07 ; trust TRUST PREPROCESS_SORT_INFER % 203.69/204.07 (step @p795 :rule trust :premises () :args ((= @t100 (forall (@list @t466 @t465 @t72) (= (_ @t171 @t466 @t465 @t72) (tptp.impl (_ @t164 @t466 @t465) @t72)))))) % 203.69/204.07 (step @p796 :rule eq_resolve :premises (@p34 @p795)) % 203.69/204.07 (step @p797 :rule instantiate :premises (@p796) :args ((@list @t170 @t197 @t150))) % 203.69/204.07 (assume-push @p5984 @t341) % 203.69/204.07 (assume-push @p5985 @t446) % 203.69/204.07 (assume-push @p5986 @t279) % 203.69/204.07 (assume-push @p5987 @t467) % 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process_scope :premises (@p7187) :args (@t787)) % 203.69/204.07 (step @p3274 :rule implies_elim :premises (@p3260)) % 203.69/204.07 (step @p3275 :rule resolution :premises (@p3274 @p3232) :args (true @t787)) % 203.69/204.07 (step @p3276 :rule not_and :premises (@p3275)) % 203.69/204.07 (step @p3277 :rule eq_resolve :premises (@p3276 @p3195)) % 203.69/204.07 (step @p3278 :rule reordering :premises (@p3277) :args ((or @t535 @t400 @t771 @t785 @t562 @t561 @t560 @t786 @t559 @t600 @t731 @t764 @t762))) % 203.69/204.07 (step @p3279 :rule chain_m_resolution :premises (@p3278 @p1147 @p372 @p3040 @p3177 @p1183 @p1187 @p1094 @p1200 @p1484 @p2800 @p3069 @p3076) :args (@t786 (@list false false false false false false false false false false false true) (@list @t531 @t341 @t770 @t753 @t540 @t544 @t551 @t548 @t585 @t724 @t763 @t762))) % 203.69/204.07 (step @p3280 :rule cnf_or_pos :args (@t783)) % 203.69/204.07 (step @p3281 :rule reordering :premises (@p3280) :args ((or @t782 @t781 (not @t783)))) % 203.69/204.07 (step @p3282 :rule chain_m_resolution :premises (@p3281 @p3279 @p3192) :args (@t782 @t259 (@list @t781 @t783))) % 203.69/204.07 (step @p3283 :rule instantiate :premises (@p44) :args (@t627)) % 203.69/204.07 (step @p3284 :rule refl :args (@t790)) % 203.69/204.07 (step @p3285 :rule refl :args (@t396)) % 203.69/204.07 (step @p3286 :rule refl :args (@t397)) % 203.69/204.07 (step @p3287 :rule refl :args (@t793)) % 203.69/204.07 (step @p3288 :rule refl :args (@t796)) % 203.69/204.07 (step @p3289 :rule refl :args (@t797)) % 203.69/204.07 (step @p3290 :rule refl :args (@t747)) % 203.69/204.07 (step @p3291 :rule nary_cong :premises (@p3290 @p3289 @p1149 @p1589 @p3288 @p3081 @p3193 @p1588 @p1587 @p1586 @p1585 @p1584 @p3287 @p2807 @p1583 @p1580 @p2805 @p2804 @p1578 @p2802 @p3286 @p3285 @p3284 @p1577) :args ((or @t747 @t797 @t535 @t400 @t796 @t771 @t785 @t562 @t561 @t560 @t559 @t600 @t793 @t731 @t581 @t599 @t596 @t398 @t597 @t733 @t397 @t396 @t790 @t603))) % 203.69/204.07 (assume-push @p7188 @t724) % 203.69/204.07 (assume-push @p7189 @t531) % 203.69/204.07 (assume-push @p7190 @t585) % 203.69/204.07 (assume-push @p7191 @t548) % 203.69/204.07 (assume-push @p7192 @t544) % 203.69/204.07 (assume-push @p7193 @t341) % 203.69/204.07 (assume-push @p7194 @t551) % 203.69/204.07 (assume-push @p7195 @t540) % 203.69/204.07 (assume-push @p7196 @t753) % 203.69/204.07 (assume-push @p7197 @t782) % 203.69/204.07 (assume-push @p7198 @t770) % 203.69/204.07 (assume-push @p7199 @t795) % 203.69/204.07 (assume-push @p7200 @t744) % 203.69/204.07 (assume-push @p7201 @t792) % 203.69/204.07 (assume-push @p7202 @t589) % 203.69/204.07 (assume-push @p7203 @t789) % 203.69/204.07 (assume-push @p7204 @t588) % 203.69/204.07 (assume-push @p7205 @t602) % 203.69/204.07 (assume-push @p7206 @t578) % 203.69/204.07 (assume-push @p7207 @t593) % 203.69/204.07 (assume-push @p7208 @t394) % 203.69/204.07 (assume-push @p7209 @t274) % 203.69/204.07 (assume-push @p7210 @t390) % 203.69/204.07 (assume-push @p7211 @t732) % 203.69/204.07 (step @p314 :rule evaluate :args (@t334)) % 203.69/204.07 (step @p2831 :rule true_intro :premises (@p2800)) % 203.69/204.07 (step @p553 :rule symm :premises (@p181)) % 203.69/204.07 (step @p554 :rule refl :args (@t263)) % 203.69/204.07 (step @p3316 :rule symm :premises (@p7209)) % 203.69/204.07 (step @p3317 :rule cong :premises (@p3316 @p554) :args (@t389)) % 203.69/204.07 (step @p3318 :rule trans :premises (@p510 @p3317 @p553)) % 203.69/204.07 (step @p1522 :rule symm :premises (@p1147)) % 203.69/204.07 (step @p1523 :rule symm :premises (@p1484)) % 203.69/204.08 (step @p1231 :rule refl :args (tptp.false1)) % 203.69/204.08 (step @p3319 :rule symm :premises (@p7191)) % 203.69/204.08 (step @p3320 :rule cong :premises (@p3319 @p1231) :args (@t594)) % 203.69/204.08 (step @p3321 :rule symm :premises (@p7192)) % 203.69/204.08 (step @p1229 :rule symm :premises (@p1094)) % 203.69/204.08 (step @p3322 :rule symm :premises (@p7195)) % 203.69/204.08 (step 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@p3336 :rule cong :premises (@p7191 @p3335) :args (@t794)) % 203.69/204.08 (step @p3337 :rule trans :premises (@p3038 @p3039 @p3336 @p3320 @p1523 @p1522)) % 203.69/204.08 (step @p3338 :rule cong :premises (@p1231 @p3337) :args (@t791)) % 203.69/204.08 (step @p3339 :rule symm :premises (@p7202)) % 203.69/204.08 (step @p3340 :rule cong :premises (@p3339) :args (@t788)) % 203.69/204.08 (step @p3341 :rule symm :premises (@p3283)) % 203.69/204.08 (step @p3342 :rule symm :premises (@p3337)) % 203.69/204.08 (step @p1634 :rule refl :args (@t586)) % 203.69/204.08 (step @p3343 :rule cong :premises (@p1634 @p3342) :args (@t587)) % 203.69/204.08 (step @p3344 :rule trans :premises (@p1494 @p3343 @p3341 @p3340 @p3041 @p3338 @p3330 @p3329)) % 203.69/204.08 (step @p3345 :rule cong :premises (@p7191 @p3344) :args (@t601)) % 203.69/204.08 (step @p3346 :rule trans :premises (@p1493 @p1576 @p3345 @p3328 @p1229 @p453)) % 203.69/204.08 (step @p3347 :rule cong :premises (@p3346 @p1231) :args (@t590)) % 203.69/204.08 (step @p3348 :rule trans :premises (@p3347 @p3321)) % 203.69/204.08 (step @p1535 :rule refl :args (@t546)) % 203.69/204.08 (step @p3349 :rule cong :premises (@p1535 @p3348) :args (@t591)) % 203.69/204.08 (step @p3350 :rule trans :premises (@p1495 @p3349 @p3320 @p1523 @p1522)) % 203.69/204.08 (step @p3351 :rule cong :premises (@p3350 @p3318) :args (@t730)) % 203.69/204.08 (step @p2869 :rule false_intro :premises (@p2801)) % 203.69/204.08 (step @p2870 :rule symm :premises (@p2869)) % 203.69/204.08 (step @p3352 :rule trans :premises (@p2870 @p3351 @p2831)) % 203.69/204.08 (step @p3353 false :rule eq_resolve :premises (@p3352 @p314)) % 203.69/204.08 (step-pop @p7212 :rule scope :premises (@p3353)) % 203.69/204.08 (step-pop @p7213 :rule scope :premises (@p7212)) % 203.69/204.08 (step-pop @p7214 :rule scope :premises (@p7213)) % 203.69/204.08 (step-pop @p7215 :rule scope :premises (@p7214)) % 203.69/204.08 (step-pop @p7216 :rule scope :premises (@p7215)) % 203.69/204.08 (step-pop @p7217 :rule scope :premises (@p7216)) % 203.69/204.08 (step-pop @p7218 :rule scope :premises (@p7217)) % 203.69/204.08 (step-pop @p7219 :rule scope :premises (@p7218)) % 203.69/204.08 (step-pop @p7220 :rule scope :premises (@p7219)) % 203.69/204.08 (step-pop @p7221 :rule scope :premises (@p7220)) % 203.69/204.08 (step-pop @p7222 :rule scope :premises (@p7221)) % 203.69/204.08 (step-pop @p7223 :rule scope :premises (@p7222)) % 203.69/204.08 (step-pop @p7224 :rule scope :premises (@p7223)) % 203.69/204.08 (step-pop @p7225 :rule scope :premises (@p7224)) % 203.69/204.08 (step-pop @p7226 :rule scope :premises (@p7225)) % 203.69/204.08 (step-pop @p7227 :rule scope :premises (@p7226)) % 203.69/204.08 (step-pop @p7228 :rule scope :premises (@p7227)) % 203.69/204.08 (step-pop @p7229 :rule scope :premises (@p7228)) % 203.69/204.08 (step-pop @p7230 :rule scope :premises (@p7229)) % 203.69/204.08 (step-pop @p7231 :rule scope :premises (@p7230)) % 203.69/204.08 (step-pop @p7232 :rule scope :premises (@p7231)) % 203.69/204.08 (step-pop @p7233 :rule scope :premises (@p7232)) % 203.69/204.08 (step-pop @p7234 :rule scope :premises (@p7233)) % 203.69/204.08 (step-pop @p7235 :rule scope :premises (@p7234)) % 203.69/204.08 (step @p3354 :rule process_scope :premises (@p7235) :args (false)) % 203.69/204.08 (assume-push @p7236 @t744) % 203.69/204.08 (assume-push @p7237 @t782) % 203.69/204.08 (assume-push @p7238 @t531) % 203.69/204.08 (assume-push @p7239 @t341) % 203.69/204.08 (assume-push @p7240 @t795) % 203.69/204.08 (assume-push @p7241 @t770) % 203.69/204.08 (assume-push @p7242 @t753) % 203.69/204.08 (assume-push @p7243 @t540) % 203.69/204.08 (assume-push @p7244 @t544) % 203.69/204.08 (assume-push @p7245 @t551) % 203.69/204.08 (assume-push @p7246 @t548) % 203.69/204.08 (assume-push @p7247 @t585) % 203.69/204.08 (assume-push @p7248 @t792) % 203.69/204.08 (assume-push @p7249 @t724) % 203.69/204.08 (assume-push @p7250 @t578) % 203.69/204.08 (assume-push @p7251 @t588) % 203.69/204.08 (assume-push @p7252 @t589) % 203.69/204.08 (assume-push @p7253 @t390) % 203.69/204.08 (assume-push @p7254 @t593) % 203.69/204.08 (assume-push @p7255 @t732) % 203.69/204.08 (assume-push @p7256 @t274) % 203.69/204.08 (assume-push @p7257 @t394) % 203.69/204.08 (assume-push @p7258 @t789) % 203.69/204.08 (assume-push @p7259 @t602) % 203.69/204.08 (step @p3403 :rule and_intro :premises (@p2800 @p1147 @p1484 @p7246 @p7244 @p372 @p1094 @p7243 @p7242 @p7237 @p3040 @p3039 @p3038 @p3041 @p7252 @p3283 @p1494 @p1576 @p1493 @p1495 @p181 @p7256 @p510 @p2801)) % 203.69/204.08 (step-pop @p7260 :rule scope :premises (@p3403)) % 203.69/204.08 (step-pop @p7261 :rule scope :premises (@p7260)) % 203.69/204.08 (step-pop @p7262 :rule scope :premises (@p7261)) % 203.69/204.08 (step-pop @p7263 :rule scope :premises (@p7262)) % 203.69/204.08 (step-pop @p7264 :rule scope :premises (@p7263)) % 203.69/204.08 (step-pop @p7265 :rule scope :premises (@p7264)) % 203.69/204.08 (step-pop @p7266 :rule scope :premises (@p7265)) % 203.69/204.08 (step-pop @p7267 :rule scope :premises (@p7266)) % 203.69/204.08 (step-pop @p7268 :rule scope :premises (@p7267)) % 203.69/204.08 (step-pop @p7269 :rule scope :premises (@p7268)) % 203.69/204.08 (step-pop @p7270 :rule scope :premises (@p7269)) % 203.69/204.08 (step-pop @p7271 :rule scope :premises (@p7270)) % 203.69/204.08 (step-pop @p7272 :rule scope :premises (@p7271)) % 203.69/204.08 (step-pop @p7273 :rule scope :premises (@p7272)) % 203.69/204.08 (step-pop @p7274 :rule scope :premises (@p7273)) % 203.69/204.08 (step-pop @p7275 :rule scope :premises (@p7274)) % 203.69/204.08 (step-pop @p7276 :rule scope :premises (@p7275)) % 203.69/204.08 (step-pop @p7277 :rule scope :premises (@p7276)) % 203.69/204.08 (step-pop @p7278 :rule scope :premises (@p7277)) % 203.69/204.08 (step-pop @p7279 :rule scope :premises (@p7278)) % 203.69/204.08 (step-pop @p7280 :rule scope :premises (@p7279)) % 203.69/204.08 (step-pop @p7281 :rule scope :premises (@p7280)) % 203.69/204.08 (step-pop @p7282 :rule scope :premises (@p7281)) % 203.69/204.08 (step-pop @p7283 :rule scope :premises (@p7282)) % 203.69/204.08 (step @p3404 :rule process_scope :premises (@p7283) :args (@t798)) % 203.69/204.08 (step @p3429 :rule implies_elim :premises (@p3404)) % 203.69/204.08 (step @p3430 :rule resolution :premises (@p3429 @p3354) :args (true @t798)) % 203.69/204.08 (step @p3431 :rule not_and :premises (@p3430)) % 203.69/204.08 (step @p3432 :rule eq_resolve :premises (@p3431 @p3291)) % 203.69/204.08 (step @p3433 :rule reordering :premises (@p3432) :args ((or @t747 @t535 @t400 @t796 @t771 @t785 @t562 @t561 @t560 @t797 @t559 @t600 @t793 @t731 @t581 @t599 @t398 @t597 @t596 @t730 @t397 @t396 @t790 @t603))) % 203.69/204.08 (step @p3434 :rule chain_m_resolution :premises (@p3433 @p1576 @p3283 @p181 @p3282 @p2801 @p1495 @p510 @p1494 @p1493 @p3177 @p1200 @p1187 @p1183 @p2800 @p3041 @p1484 @p1094 @p372 @p1147 @p3040 @p3039 @p3038 @p1479 @p211 @p1481 @p224 @p1483 @p3016 @p1495 @p1494 @p230 @p1493 @p1200 @p1187 @p1183 @p1484 @p372 @p1147 @p275 @p2943 @p797 @p2801 @p794 @p1495 @p510 @p1494 @p1493 @p1200 @p1187 @p1183 @p2800 @p1484 @p859 @p768 @p1122 @p1094 @p372 @p1147 @p905 @p2781 @p2743 @p907 @p98 @p72 @p920 @p2723 @p1179 @p1133 @p432 @p1176 @p451 @p1146 @p1143 @p2703 @p1140 @p1138 @p2699 @p912 @p750 @p744 @p743 @p741 @p734 @p729 @p714 @p695 @p658 @p656 @p239 @p651 @p2659 @p407 @p300 @p637 @p629 @p292) :args ((or @t708 @t596) (@list 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 false false false false false false false false false false true true false true 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 true true false false false true false false true false true true true false false false false false false false true true true false true true false) (@list @t602 @t789 @t394 @t782 @t730 @t593 @t390 @t588 @t578 @t753 @t548 @t544 @t540 @t724 @t792 @t585 @t551 @t341 @t531 @t770 @t795 @t744 @t274 @t275 @t267 @t282 @t281 @t280 @t593 @t588 @t252 @t578 @t548 @t544 @t540 @t585 @t341 @t531 @t295 @t279 @t469 @t730 @t459 @t593 @t390 @t588 @t578 @t548 @t544 @t540 @t724 @t585 @t479 @t446 @t518 @t551 @t341 @t531 @t204 @t203 @t715 @t205 @t206 @t187 @t201 @t428 @t523 @t526 @t364 @t525 @t536 @t531 @t532 @t533 @t529 @t527 @t439 @t431 @t430 @t433 @t440 @t435 @t322 @t441 @t437 @t408 @t413 @t414 @t406 @t410 @t401 @t354 @t321 @t325 @t317 @t309))) % 203.69/204.08 (step @p3435 :rule chain_m_resolution :premises (@p2743 @p714) :args (@t715 @t192 @t485)) % 203.69/204.08 (step @p3436 :rule instantiate :premises (@p909) :args (@t647)) % 203.69/204.08 (step @p3437 :rule bool-double-not-elim :args (@t799)) % 203.69/204.08 (step @p3438 :rule refl :args (@t620)) % 203.69/204.08 (step @p3439 :rule nary_cong :premises (@p2746 @p2745 @p3438 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@p4418 @p3930 @p4388 @p3930 @p660 @p695 @p658 @p653 @p4072 @p5111 @p1394 @p5044 @p794 @p468 @p420 @p3864 @p250 @p1122 @p953 @p951 @p3985 @p3983 @p3972 @p5031 @p170 @p5025 @p172 @p5020 @p1495 @p1494 @p230 @p1493 @p301 @p1200 @p1187 @p1183 @p1094 @p372 @p1147 @p275 @p4933 @p1576 @p3283 @p3282 @p1495 @p1494 @p1493 @p3177 @p1200 @p1187 @p1183 @p4677 @p1484 @p1094 @p372 @p1147 @p3040 @p3039 @p3038 @p363 @p4805 @p1576 @p3283 @p3282 @p1495 @p1494 @p1493 @p3177 @p1200 @p1187 @p1183 @p4677 @p1484 @p1094 @p465 @p372 @p1147 @p3040 @p3039 @p3038) :args ((or @t439 @t598 @t620) (@list false true false false true true true false false false false false false false true false false false false false true true false false false false true false false false false false true false true false true false true true 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 false 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@t753 @t548 @t544 @t540 @t523 @t792 @t585 @t551 @t341 @t531 @t770 @t795 @t744))) % 203.69/204.08 (step @p5468 :rule chain_m_resolution :premises (@p5025 @p172 @p5467 @p5337 @p1576 @p3283 @p3282 @p1495 @p1494 @p1493 @p3177 @p1200 @p1187 @p1183 @p3041 @p1484 @p1094 @p372 @p1147 @p3040 @p3039 @p3038 @p1138 @p1910 @p1925 @p1923 @p5111 @p1394 @p5044 @p794 @p468 @p420 @p3864 @p250 @p1122 @p5208 @p3985 @p3983 @p4072 @p651 @p3972 @p658 @p653 @p3929 @p363 @p695 @p5180) :args ((or @t617 @t439 @t598 @t408) (@list 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 true false false false false true false false false false true false false false true false false true false true true) (@list @t231 @t228 @t227 @t602 @t789 @t782 @t593 @t588 @t578 @t753 @t548 @t544 @t540 @t792 @t585 @t551 @t341 @t531 @t770 @t795 @t744 @t527 @t589 @t622 @t628 @t225 @t567 @t876 @t459 @t351 @t346 @t825 @t285 @t518 @t625 @t428 @t839 @t508 @t401 @t836 @t410 @t414 @t828 @t337 @t413 @t618))) % 203.69/204.08 (assume-push @p8466 @t242) % 203.69/204.08 (step-pop @p8467 :rule scope :premises (@p156)) % 203.69/204.08 (step @p5470 :rule process_scope :premises (@p8467) :args (@t884)) % 203.69/204.08 (step @p5472 :rule implies_elim :premises (@p5470)) % 203.69/204.08 (step @p5473 :rule refl :args (@t885)) % 203.69/204.08 (step @p5474 :rule bool-double-not-elim :args (@t218)) % 203.69/204.08 (step @p5475 :rule nary_cong :premises (@p5474 @p5473) :args ((or (not @t884) @t885))) % 203.69/204.08 (assume-push @p8468 @t884) % 203.69/204.08 (step-pop @p8469 :rule scope :premises (@p157)) % 203.69/204.08 (step @p5477 :rule process_scope :premises (@p8469) :args (@t885)) % 203.69/204.08 (step @p5479 :rule implies_elim :premises (@p5477)) % 203.69/204.08 (step @p5480 :rule eq_resolve :premises (@p5479 @p5475)) % 203.69/204.08 (step @p5481 :rule cnf_or_neg :args (@t849 0)) % 203.69/204.08 (step @p5482 :rule chain_m_resolution 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203.69/204.08 (step @p5520 false :rule eq_resolve :premises (@p5519 @p314)) % 203.69/204.08 (step-pop @p8478 :rule scope :premises (@p5520)) % 203.69/204.08 (step-pop @p8479 :rule scope :premises (@p8478)) % 203.69/204.08 (step-pop @p8480 :rule scope :premises (@p8479)) % 203.69/204.08 (step-pop @p8481 :rule scope :premises (@p8480)) % 203.69/204.08 (step-pop @p8482 :rule scope :premises (@p8481)) % 203.69/204.08 (step-pop @p8483 :rule scope :premises (@p8482)) % 203.69/204.08 (step-pop @p8484 :rule scope :premises (@p8483)) % 203.69/204.08 (step-pop @p8485 :rule scope :premises (@p8484)) % 203.69/204.08 (step @p5521 :rule process_scope :premises (@p8485) :args (false)) % 203.69/204.08 (assume-push @p8486 @t540) % 203.69/204.08 (assume-push @p8487 @t544) % 203.69/204.08 (assume-push @p8488 @t724) % 203.69/204.08 (assume-push @p8489 @t828) % 203.69/204.08 (assume-push @p8490 @t588) % 203.69/204.08 (assume-push @p8491 @t589) % 203.69/204.08 (assume-push @p8492 @t889) % 203.69/204.08 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@p5581 @p5496 @p301 @p1187 @p2800 @p1910 @p5580 @p301 @p5552 @p5496 @p5489 @p1494 @p1187 @p1183 @p2800 @p3972 @p3863 @p3985 @p3983 @p5488 @p4043 @p4037 @p5487 @p5482 @p2483 @p797 @p768 @p363 @p2513 @p797 @p768 @p465 @p5180 @p660 @p658 @p656 @p1880 @p5468 @p4675 @p4419 @p2631 @p249 @p246 @p641 @p243 @p241 @p229 @p5480 @p5472 @p155 @p2609 @p3862 @p458 @p1146 @p1143 @p2703 @p239 @p1140 @p1138 @p300 @p637 @p629 @p292 @p3813) :args ((or @t598 @t471) (@list false false false false false false false true false true false true false false false true false false true true false false false false false false true false false false false true false true false false false false false false false false true false false false true false true true true false false false true false false true true false true true false false false false false true false false true true false true) (@list @t651 @t588 @t188 @t634 @t635 @t631 @t632 @t625 @t628 @t604 @t898 @t888 @t321 @t544 @t724 @t622 @t894 @t321 @t589 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203.69/204.08 (step-pop @p8558 :rule scope :premises (@p8557)) % 203.69/204.08 (step @p5651 :rule process_scope :premises (@p8558) :args (@t692)) % 203.69/204.08 (step @p5655 :rule and_intro :premises (@p797 @p8552 @p859)) % 203.69/204.08 (step @p5656 :rule modus_ponens :premises (@p5655 @p5651)) % 203.69/204.08 (step-pop @p8559 :rule scope :premises (@p5656)) % 203.69/204.08 (step-pop @p8560 :rule scope :premises (@p8559)) % 203.69/204.08 (step-pop @p8561 :rule scope :premises (@p8560)) % 203.69/204.08 (step @p5657 :rule process_scope :premises (@p8561) :args (@t692)) % 203.69/204.08 (step @p5661 :rule implies_elim :premises (@p5657)) % 203.69/204.08 (step @p5662 :rule cnf_and_neg :args (@t901)) % 203.69/204.08 (step @p5663 :rule resolution :premises (@p5662 @p5661) :args (true @t901)) % 203.69/204.08 (step @p5664 :rule reordering :premises (@p5663) :args ((or @t483 @t692 @t472 @t482))) % 203.69/204.08 (step @p5665 :rule cnf_or_neg :args (@t694 2)) % 203.69/204.08 (step @p5666 :rule chain_m_resolution :premises (@p5665 @p2531) :args ((not @t693) @t255 @t697)) % 203.69/204.08 (step @p5667 :rule cnf_and_neg :args (@t693)) % 203.69/204.08 (step @p5668 :rule chain_m_resolution :premises (@p2411 @p1962 @p1494 @p1931 @p1929 @p1928 @p1926 @p1925 @p1923 @p5640 @p5581 @p5496 @p301 @p1187 @p2800 @p1910 @p5580 @p301 @p5552 @p5496 @p5489 @p1494 @p1187 @p1183 @p2800 @p3972 @p3863 @p2451 @p3985 @p3983 @p2453 @p86 @p5488 @p2541 @p2533 @p5667 @p5666 @p4043 @p4037 @p5487 @p5482 @p2549 @p2544 @p5664 @p797 @p859 @p2608 @p797 @p859 @p363 @p2579 @p797 @p859 @p465 @p5180 @p660 @p658 @p656 @p1880 @p5468 @p4675 @p4419 @p2631 @p249 @p246 @p641 @p243 @p241 @p229 @p5480 @p5472 @p155 @p2609 @p3862 @p458 @p1146 @p1143 @p2703 @p239 @p1140 @p1138 @p300 @p637 @p629 @p292 @p3813) :args ((or @t598 @t482) (@list false false false false false false true false true false true false false false true false false true true false false false false false false true false false false false false false false true true true false true false true false true false false false false false false false false false false false true false false false true false true true true false false false true false false true true false true true false false false false false true false false true true false true) (@list @t651 @t588 @t634 @t635 @t631 @t632 @t625 @t628 @t604 @t898 @t888 @t321 @t544 @t724 @t622 @t894 @t321 @t589 @t888 @t889 @t588 @t544 @t540 @t724 @t828 @t439 @t188 @t836 @t839 @t190 @t191 @t428 @t183 @t687 @t189 @t693 @t831 @t843 @t840 @t845 @t686 @t689 @t692 @t469 @t479 @t680 @t469 @t479 @t337 @t682 @t469 @t479 @t347 @t618 @t333 @t413 @t414 @t410 @t408 @t617 @t279 @t703 @t285 @t289 @t290 @t287 @t14 @t252 @t254 @t218 @t242 @t330 @t439 @t710 @t531 @t532 @t533 @t406 @t529 @t527 @t321 @t325 @t317 @t309 @t707))) % 203.69/204.08 (step @p5669 :rule chain_m_resolution :premises (@p907 @p99 @p905 @p941 @p939 @p4044 @p4045 @p5179 @p1395 @p1394 @p797 @p794 @p1122 @p4418 @p3930 @p5488 @p953 @p951) :args ((or @t409 @t499 @t428 @t226) (@list false true false false true true true false false false false false false false true false false) (@list @t206 @t205 @t201 @t490 @t204 @t203 @t489 @t569 @t567 @t469 @t459 @t518 @t840 @t833 @t831 @t494 @t495))) % 203.69/204.08 (assume-push @p8562 @t518) % 203.69/204.08 (assume-push @p8563 @t459) % 203.69/204.08 (assume-push @p8564 @t408) % 203.69/204.08 (assume-push @p8565 @t333) % 203.69/204.08 (assume-push @p8566 @t469) % 203.69/204.08 (assume-push @p8567 @t489) % 203.69/204.08 (assume-push @p8568 @t567) % 203.69/204.08 (assume-push @p8569 @t494) % 203.69/204.08 (assume-push @p8570 @t569) % 203.69/204.08 (assume-push @p8571 @t408) % 203.69/204.08 (assume-push @p8572 @t333) % 203.69/204.08 (assume-push @p8573 @t569) % 203.69/204.08 (assume-push @p8574 @t518) % 203.69/204.08 (assume-push @p8575 @t494) % 203.69/204.08 (assume-push @p8576 @t489) % 203.69/204.08 (assume-push @p8577 @t469) % 203.69/204.08 (assume-push @p8578 @t459) % 203.69/204.08 (assume-push @p8579 @t567) % 203.69/204.08 (step @p5688 :rule true_intro :premises (@p8564)) % 203.69/204.08 (step @p5689 :rule symm :premises (@p8565)) % 203.69/204.08 (step @p1421 :rule symm :premises (@p1395)) % 203.69/204.08 (step @p5690 :rule symm :premises (@p8569)) % 203.69/204.08 (step @p813 :rule refl :args (@t150)) % 203.69/204.08 (step @p5691 :rule symm :premises (@p8567)) % 203.69/204.08 (step @p5692 :rule cong :premises (@p5691 @p813) :args (@t468)) % 203.69/204.08 (step @p5693 :rule trans :premises (@p797 @p5692 @p5690 @p5689)) % 203.69/204.08 (step @p5694 :rule cong :premises (@p5693) :args (@t458)) % 203.69/204.08 (step @p5695 :rule trans :premises (@p794 @p5694 @p5689)) % 203.69/204.08 (step @p5696 :rule cong :premises (@p5695 @p813) :args (@t565)) % 203.69/204.08 (step @p5697 :rule trans :premises (@p5696 @p5690 @p5689)) % 203.69/204.08 (step @p1255 :rule symm :premises (@p1122)) % 203.69/204.08 (step @p5698 :rule cong :premises (@p1255 @p5697) :args (@t566)) % 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:premises (@p5726 @p5725) :args (true @t902)) % 203.69/204.08 (step @p5728 :rule reordering :premises (@p5727) :args ((or @t563 @t462 @t409 @t499 @t472 @t572 @t498 @t571 @t497 @t228))) % 203.69/204.08 (step @p5729 :rule chain_m_resolution :premises (@p2373 @p1576 @p1395 @p1495 @p1494 @p230 @p1493 @p301 @p1200 @p1187 @p275 @p2081 @p2079 @p1928 @p1926 @p1925 @p1923 @p1910 @p5467 @p5728 @p1395 @p1394 @p797 @p794 @p1122 @p5669 @p953 @p951 @p941 @p939 @p920 @p913 @p907 @p99 @p905 @p5668 @p5642 @p660 @p658 @p653 @p750 @p1878 @p1880 @p5180 @p3863 @p5468 @p4676 @p3863) :args (@t598 (@list false false false false false false false false false true false false false false true false true true false false false false false false true false false false false true true true false true true true false false false false true true true true false true true) (@list @t602 @t569 @t593 @t588 @t252 @t578 @t321 @t548 @t544 @t295 @t657 @t661 @t631 @t632 @t625 @t628 @t622 @t589 @t228 @t569 @t567 @t469 @t459 @t518 @t225 @t494 @t495 @t489 @t490 @t428 @t431 @t201 @t206 @t205 @t203 @t204 @t333 @t413 @t414 @t430 @t433 @t410 @t618 @t439 @t408 @t617 @t439))) % 203.69/204.08 (step @p5730 :rule chain_m_resolution :premises (@p1483 @p5729 @p4420) :args (@t574 @t357 (@list @t280 @t279))) % 203.69/204.08 (step @p5731 :rule chain_m_resolution :premises (@p1481 @p5730 @p224) :args (@t268 @t259 (@list @t281 @t282))) % 203.69/204.08 (step @p5732 :rule chain_m_resolution :premises (@p1479 @p5731 @p211) :args (@t274 @t259 (@list @t267 @t275))) % 203.69/204.08 (step @p5733 :rule chain_m_resolution :premises (@p4664 @p363 @p510 @p5732 @p181) :args (@t227 @t903 (@list @t337 @t390 @t274 @t394))) % 203.69/204.08 (step @p5734 :rule chain_m_resolution :premises (@p5025 @p5733 @p172) :args (@t228 @t904 (@list @t227 @t231))) % 203.69/204.08 (step @p5735 :rule chain_m_resolution :premises (@p4635 @p465 @p510 @p5732 @p181) :args (@t224 @t903 (@list @t347 @t390 @t274 @t394))) % 203.69/204.08 (step @p5736 :rule chain_m_resolution :premises (@p5031 @p5733 @p5735 @p5734 @p170) :args (@t225 @t646 (@list @t227 @t224 @t228 @t229))) % 203.69/204.08 (step @p5737 :rule chain_m_resolution :premises (@p5111 @p1122 @p250 @p420 @p3864 @p468 @p794 @p5044 @p1394 @p5736) :args (@t510 (@list false false true false false false false false false) (@list @t518 @t285 @t346 @t825 @t351 @t459 @t876 @t567 @t225))) % 203.69/204.08 (step @p5738 :rule chain_m_resolution :premises (@p4072 @p3863 @p5737) :args (@t411 @t357 (@list @t439 @t508))) % 203.69/204.08 (step @p5739 :rule chain_m_resolution :premises (@p658 @p5738 @p653) :args (@t413 @t259 (@list @t410 @t414))) % 203.69/204.08 (step @p5740 :rule chain_m_resolution :premises (@p660 @p5739) :args (@t333 @t192 @t905)) % 203.69/204.08 (step @p5741 :rule chain_m_resolution :premises (@p695 @p5739) :args (@t408 @t192 @t905)) % 203.69/204.08 (step @p5742 :rule chain_m_resolution :premises (@p5669 @p5741 @p5740 @p5736) :args (@t428 @t886 (@list @t408 @t333 @t225))) % 203.69/204.08 (step @p5743 :rule chain_m_resolution :premises (@p750 @p5741 @p1878) :args (@t430 @t904 (@list @t408 @t433))) % 203.69/204.08 (step @p5744 :rule chain_m_resolution :premises (@p920 @p5741 @p5743 @p913 @p5742) :args (@t201 (@list false false true false) (@list @t408 @t430 @t431 @t428))) % 203.69/204.08 (step @p5745 :rule chain_m_resolution :premises (@p907 @p5744 @p99) :args (@t205 @t448 (@list @t201 @t206))) % 203.69/204.08 (step @p5746 :rule chain_m_resolution :premises (@p3985 @p5742 @p3983) :args (@t836 @t448 (@list @t428 @t839))) % 203.69/204.08 (step @p5747 :rule chain_m_resolution :premises (@p3972 @p3863 @p5746) :args (@t828 @t259 (@list @t439 @t836))) % 203.69/204.08 (step @p5748 :rule chain_m_resolution :premises (@p5580 @p301 @p5740 @p5747) :args (@t894 @t886 (@list @t321 @t333 @t828))) % 203.69/204.08 (step @p5749 :rule nary_cong :premises (@p306 @p5583 @p1589 @p303 @p1582 @p2804 @p3438 @p2141 @p3286 @p3285) :args ((or @t332 @t895 @t400 @t324 @t253 @t398 @t620 @t499 @t397 @t396))) % 203.69/204.08 (assume-push @p8598 @t659) % 203.69/204.08 (assume-push @p8599 @t333) % 203.69/204.08 (assume-push @p8600 @t321) % 203.69/204.08 (assume-push @p8601 @t894) % 203.69/204.08 (assume-push @p8602 @t618) % 203.69/204.08 (assume-push @p8603 @t341) % 203.69/204.08 (step @p3096 :rule evaluate :args (@t774)) % 203.69/204.08 (step @p5756 :rule false_intro :premises (@p8598)) % 203.69/204.08 (step @p5757 :rule trans :premises (@p453 @p8602)) % 203.69/204.08 (step @p5758 :rule symm :premises (@p8599)) % 203.69/204.08 (step @p5759 :rule trans :premises (@p8601 @p301 @p5758)) % 203.69/204.08 (step @p5760 :rule symm :premises (@p5759)) % 203.69/204.08 (step @p5761 :rule trans :premises (@p5760 @p372 @p5757)) % 203.69/204.08 (step @p5762 :rule true_intro :premises (@p5761)) % 203.69/204.08 (step @p5763 :rule symm :premises (@p5762)) % 203.69/204.08 (step @p5764 :rule trans :premises (@p5763 @p5756)) % 203.69/204.08 (step @p5765 false :rule eq_resolve :premises (@p5764 @p3096)) % 203.69/204.08 (step-pop @p8604 :rule scope :premises (@p5765)) % 203.69/204.08 (step-pop @p8605 :rule scope :premises (@p8604)) % 203.69/204.08 (step-pop @p8606 :rule scope :premises (@p8605)) % 203.69/204.08 (step-pop @p8607 :rule scope :premises (@p8606)) % 203.69/204.08 (step-pop @p8608 :rule scope :premises (@p8607)) % 203.69/204.08 (step-pop @p8609 :rule scope :premises (@p8608)) % 203.69/204.08 (step @p5766 :rule process_scope :premises (@p8609) :args (false)) % 203.69/204.08 (assume-push @p8610 @t301) % 203.69/204.08 (assume-push @p8611 @t894) % 203.69/204.08 (assume-push @p8612 @t341) % 203.69/204.08 (assume-push @p8613 @t321) % 203.69/204.08 (assume-push @p8614 @t252) % 203.69/204.08 (assume-push @p8615 @t390) % 203.69/204.08 (assume-push @p8616 @t618) % 203.69/204.08 (assume-push @p8617 @t333) % 203.69/204.08 (assume-push @p8618 @t274) % 203.69/204.08 (assume-push @p8619 @t394) % 203.69/204.08 (assume-push @p8620 @t301) % 203.69/204.08 (assume-push @p8621 @t321) % 203.69/204.08 (assume-push @p8622 @t333) % 203.69/204.08 (assume-push @p8623 @t252) % 203.69/204.08 (assume-push @p8624 @t390) % 203.69/204.08 (assume-push @p8625 @t274) % 203.69/204.08 (assume-push @p8626 @t394) % 203.69/204.08 (assume-push @p8627 @t341) % 203.69/204.08 (assume-push @p8628 @t618) % 203.69/204.08 (step @p323 :rule false_intro :premises (@p275)) % 203.69/204.08 (step @p2320 :rule symm :premises (@p230)) % 203.69/204.08 (step @p3796 :rule symm :premises (@p510)) % 203.69/204.08 (step @p554 :rule refl :args (@t263)) % 203.69/204.08 (step @p5792 :rule cong :premises (@p8618 @p554) :args (@t393)) % 203.69/204.08 (step @p5793 :rule trans :premises (@p181 @p5792 @p3796)) % 203.69/204.08 (step @p5794 :rule cong :premises (@p5793) :args (@t336)) % 203.69/204.08 (step @p5795 :rule symm :premises (@p8616)) % 203.69/204.08 (step @p5796 :rule trans :premises (@p5795 @p372 @p5794 @p2320)) % 203.69/204.08 (step @p970 :rule symm :premises (@p301)) % 203.69/204.08 (step @p5797 :rule trans :premises (@p8617 @p970)) % 203.69/204.08 (step @p5798 :rule cong :premises (@p5797 @p5796) :args (@t657)) % 203.69/204.08 (step @p5799 :rule trans :premises (@p5798 @p323)) % 203.69/204.08 (step @p5800 :rule false_elim :premises (@p5799)) % 203.69/204.08 (step-pop @p8629 :rule scope :premises (@p5800)) % 203.69/204.08 (step-pop @p8630 :rule scope :premises (@p8629)) % 203.69/204.08 (step-pop @p8631 :rule scope :premises (@p8630)) % 203.69/204.08 (step-pop @p8632 :rule scope :premises (@p8631)) % 203.69/204.08 (step-pop @p8633 :rule scope :premises (@p8632)) % 203.69/204.08 (step-pop @p8634 :rule scope :premises (@p8633)) % 203.69/204.08 (step-pop @p8635 :rule scope :premises (@p8634)) % 203.69/204.08 (step-pop @p8636 :rule scope :premises (@p8635)) % 203.69/204.08 (step-pop @p8637 :rule scope :premises (@p8636)) % 203.69/204.08 (step @p5801 :rule process_scope :premises (@p8637) :args (@t659)) % 203.69/204.08 (step @p5811 :rule and_intro :premises (@p275 @p301 @p8617 @p230 @p510 @p8618 @p181 @p372 @p8616)) % 203.69/204.08 (step @p5812 :rule modus_ponens :premises (@p5811 @p5801)) % 203.69/204.08 (step @p5813 :rule and_intro :premises (@p5812 @p8617 @p301 @p8611 @p8616 @p372)) % 203.69/204.08 (step-pop @p8638 :rule scope :premises (@p5813)) % 203.69/204.08 (step-pop @p8639 :rule scope :premises (@p8638)) % 203.69/204.08 (step-pop @p8640 :rule scope :premises (@p8639)) % 203.69/204.08 (step-pop @p8641 :rule scope :premises (@p8640)) % 203.69/204.08 (step-pop @p8642 :rule scope :premises (@p8641)) % 203.69/204.08 (step-pop @p8643 :rule scope :premises (@p8642)) % 203.69/204.08 (step-pop @p8644 :rule scope :premises (@p8643)) % 203.69/204.08 (step-pop @p8645 :rule scope :premises (@p8644)) % 203.69/204.08 (step-pop @p8646 :rule scope :premises (@p8645)) % 203.69/204.08 (step-pop @p8647 :rule scope :premises (@p8646)) % 203.69/204.08 (step @p5814 :rule process_scope :premises (@p8647) :args (@t906)) % 203.69/204.08 (step @p5825 :rule implies_elim :premises (@p5814)) % 203.69/204.08 (step @p5826 :rule resolution :premises (@p5825 @p5766) :args (true @t906)) % 203.69/204.08 (step @p5827 :rule not_and :premises (@p5826)) % 203.69/204.08 (step @p5828 :rule eq_resolve :premises (@p5827 @p5749)) % 203.69/204.08 (step @p5829 :rule reordering :premises (@p5828) :args ((or @t295 @t400 @t324 @t253 @t398 @t620 @t499 @t895 @t397 @t396))) % 203.69/204.08 (step @p5830 :rule chain_m_resolution :premises (@p5829 @p275 @p372 @p301 @p230 @p510 @p5740 @p5748 @p5732 @p181) :args (@t620 @t700 (@list @t295 @t341 @t321 @t252 @t390 @t333 @t894 @t274 @t394))) % 203.69/204.08 (step @p5831 :rule chain_m_resolution :premises (@p3433 @p3038 @p1147 @p372 @p3039 @p3040 @p3177 @p1183 @p1187 @p1094 @p3282 @p1200 @p1484 @p3041 @p2800 @p1493 @p1494 @p510 @p1495 @p2801 @p5732 @p181 @p3283 @p1576) :args (@t596 (@list false false false false false false false false false false false false false false false false false false true false false false false) (@list @t744 @t531 @t341 @t795 @t770 @t753 @t540 @t544 @t551 @t782 @t548 @t585 @t792 @t724 @t578 @t588 @t390 @t593 @t730 @t274 @t394 @t789 @t602))) % 203.69/204.08 (step @p5832 :rule chain_m_resolution :premises (@p1910 @p5831 @p5830) :args (@t623 @t357 (@list @t589 @t618))) % 203.69/204.08 (step @p5833 :rule chain_m_resolution :premises (@p1925 @p5832 @p1923) :args (@t629 @t259 (@list @t622 @t628))) % 203.69/204.08 (step @p5834 :rule chain_m_resolution :premises (@p1931 @p5833 @p1929) :args (@t634 @t259 (@list @t625 @t635))) % 203.69/204.08 (step @p5835 :rule chain_m_resolution :premises (@p1928 @p5833 @p1926) :args (@t631 @t259 (@list @t625 @t632))) % 203.69/204.08 (step @p5836 :rule chain_m_resolution :premises (@p3812 @p510 @p5732 @p181) :args (@t236 @t886 (@list @t390 @t274 @t394))) % 203.69/204.08 (step @p5837 :rule chain_m_resolution :premises (@p3707 @p3706 @p5836) :args ((not @t803) @t259 (@list @t815 @t236))) % 203.69/204.08 (step @p5838 :rule chain_m_resolution :premises (@p3599 @p1147 @p372 @p1183 @p1187 @p1094 @p1200 @p1484 @p1493 @p1495 @p5837 @p1576) :args (@t605 (@list false false false false false false false false false true false) (@list @t531 @t341 @t540 @t544 @t551 @t548 @t585 @t578 @t593 @t803 @t602))) % 203.69/204.08 (step @p5839 :rule chain_m_resolution :premises (@p2411 @p5838 @p1494 @p1962 @p5835 @p5834) :args (@t674 (@list true false false false false) (@list @t604 @t588 @t651 @t631 @t634))) % 203.69/204.08 (step @p5840 :rule chain_m_resolution :premises (@p5641 @p5835 @p5834 @p5839) :args (@t471 (@list false false true) (@list @t631 @t634 @t188))) % 203.69/204.08 (step @p5841 :rule chain_m_resolution :premises (@p905 @p5840 @p5745) :args (@t203 @t259 (@list @t204 @t205))) % 203.69/204.08 (step @p5842 :rule chain_m_resolution :premises (@p2579 @p465 @p859 @p797 @p5841) :args (@t682 @t903 (@list @t347 @t479 @t469 @t203))) % 203.69/204.08 (step @p5843 :rule chain_m_resolution :premises (@p2608 @p363 @p859 @p797 @p5841) :args (@t680 @t903 (@list @t337 @t479 @t469 @t203))) % 203.69/204.08 (step @p5844 :rule chain_m_resolution :premises (@p2549 @p2544 @p5843) :args (@t686 @t259 (@list @t689 @t680))) % 203.69/204.08 (step @p5845 :rule chain_m_resolution :premises (@p2541 @p5844 @p2533 @p5843 @p5842) :args (@t183 @t823 (@list @t686 @t687 @t680 @t682))) % 203.69/204.08 (step @p5846 :rule chain_m_resolution :premises (@p5664 @p859 @p797 @p5841) :args (@t692 @t886 (@list @t479 @t469 @t203))) % 203.69/204.08 (step @p5847 :rule chain_m_resolution :premises (@p5667 @p5666 @p5846) :args (@t676 @t259 (@list @t693 @t692))) % 203.69/204.08 (step @p5848 :rule chain_m_resolution :premises (@p2451 @p5847 @p5839) :args (@t678 @t357 (@list @t189 @t188))) % 203.69/204.08 (step @p5849 false :rule chain_m_resolution :premises (@p2453 @p5848 @p5845 @p86) :args (false @t706 (@list @t190 @t183 @t191))) % 203.69/204.08 ) % 203.69/204.08 % SZS output end Proof % 203.69/204.08 % cvc5 exiting %------------------------------------------------------------------------------