%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEV537+1 : TPTP v9.2.1. Released v9.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n019.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 08:56:04 AM UTC 2026 % Result : Theorem 281.18s 281.48s % Output : Proof 281.18s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.13 % Problem : SEV537+1 : TPTP v9.2.1. Released v9.1.0. % 0.12/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n019.cluster.edu % 0.17/0.35 % Model : x86_64 x86_64 % 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.35 % Memory : 8042.1875MB % 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Tue Jun 2 18:37:34 EDT 2026 % 0.17/0.35 % CPUTime : % 0.28/0.51 %----Proving TF0_NAR, FOF, or CNF % 281.18/281.48 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 281.18/281.48 --- Run --no-e-matching --full-saturate-quant at 6... % 281.18/281.48 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 281.18/281.48 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 281.18/281.48 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 281.18/281.48 --- Run --trigger-sel=max --full-saturate-quant at 15... % 281.18/281.48 --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 33... % 281.18/281.48 --- Run --multi-trigger-cache --full-saturate-quant at 15... % 281.18/281.48 --- Run --prenex-quant=none --full-saturate-quant at 30... % 281.18/281.48 --- Run --enum-inst-interleave --decision=internal --full-saturate-quant at 15... % 281.18/281.48 --- Run --relevant-triggers --full-saturate-quant at 30... % 281.18/281.48 --- Run --finite-model-find --e-matching --sort-inference --uf-ss-fair at 15... % 281.18/281.48 --- Run --pre-skolem-quant=on --full-saturate-quant at 15... % 281.18/281.48 --- Run --cbqi-vo-exp --full-saturate-quant at 36... % 281.18/281.48 --- Run --no-cbqi --full-saturate-quant at 9... % 281.18/281.48 --- Run --macros-quant --macros-quant-mode=all --full-saturate-quant at 15... % 281.18/281.48 % SZS status Theorem % 281.18/281.48 % SZS output start Proof % 281.18/281.48 ( % 281.18/281.48 (declare-sort $$unsorted 0) % 281.18/281.48 (declare-const tptp.atleast16p (-> $$unsorted Bool)) % 281.18/281.48 (declare-const tptp.atleast15p (-> $$unsorted Bool)) % 281.18/281.48 (declare-const tptp.atleast14p (-> $$unsorted Bool)) % 281.18/281.48 (declare-const tptp.atleast12p (-> $$unsorted Bool)) % 281.18/281.48 (declare-const tptp.atleast11p (-> $$unsorted Bool)) % 281.18/281.48 (declare-const tptp.atleast10p (-> $$unsorted Bool)) % 281.18/281.48 (declare-const tptp.atleast8p (-> $$unsorted Bool)) % 281.18/281.48 (declare-const tptp.atleast6p (-> $$unsorted Bool)) % 281.18/281.48 (declare-const tptp.atleast5p (-> $$unsorted Bool)) % 281.18/281.48 (declare-const tptp.atleast9p (-> $$unsorted Bool)) % 281.18/281.48 (declare-const tptp.mem (-> $$unsorted $$unsorted Bool)) % 281.18/281.48 (declare-const tptp.disj (-> $$unsorted $$unsorted Bool)) % 281.18/281.48 (declare-const tptp.s (-> $$unsorted $$unsorted)) % 281.18/281.48 (declare-const tptp.atleast2p (-> $$unsorted Bool)) % 281.18/281.48 (declare-const tptp.e $$unsorted) % 281.18/281.48 (declare-const tptp.u (-> $$unsorted $$unsorted $$unsorted)) % 281.18/281.48 (declare-const tptp.atleast13p (-> $$unsorted Bool)) % 281.18/281.48 (declare-const tptp.subq (-> $$unsorted $$unsorted Bool)) % 281.18/281.48 (declare-const tptp.p (-> $$unsorted $$unsorted)) % 281.18/281.48 (declare-const tptp.m (-> $$unsorted $$unsorted $$unsorted)) % 281.18/281.48 (declare-const tptp.a (-> $$unsorted $$unsorted $$unsorted)) % 281.18/281.48 (declare-const tptp.atleast7p (-> $$unsorted Bool)) % 281.18/281.48 (declare-const tptp.atleast3p (-> $$unsorted Bool)) % 281.18/281.48 (declare-const tptp.n (-> $$unsorted $$unsorted)) % 281.18/281.48 (declare-const tptp.atleast4p (-> $$unsorted Bool)) % 281.18/281.48 (define @t1 () (@var "Y" $$unsorted)) % 281.18/281.48 (define @t2 () (@var "Z" $$unsorted)) % 281.18/281.48 (define @t3 () (tptp.mem @t2 @t1)) % 281.18/281.48 (define @t4 () (@var "X" $$unsorted)) % 281.18/281.48 (define @t5 () (tptp.mem @t2 @t4)) % 281.18/281.48 (define @t6 () (@list @t2)) % 281.18/281.48 (define @t7 () (forall @t6 (=> @t5 @t3))) % 281.18/281.48 (define @t8 () (tptp.subq @t4 @t1)) % 281.18/281.48 (define @t9 () (= @t8 @t7)) % 281.18/281.48 (define @t10 () (@list @t4 @t1)) % 281.18/281.48 (define @t11 () (forall @t10 @t9)) % 281.18/281.48 (define @t12 () (= @t4 @t1)) % 281.18/281.48 (define @t13 () (tptp.subq @t1 @t4)) % 281.18/281.48 (define @t14 () (@list @t4)) % 281.18/281.48 (define @t15 () (tptp.s @t1)) % 281.18/281.48 (define @t16 () (tptp.mem @t4 @t15)) % 281.18/281.48 (define @t17 () (forall @t10 (= @t16 @t12))) % 281.18/281.48 (define @t18 () (tptp.mem @t4 @t2)) % 281.18/281.48 (define @t19 () (tptp.mem @t4 @t1)) % 281.18/281.48 (define @t20 () (@list @t4 @t1 @t2)) % 281.18/281.48 (define @t21 () (forall @t10 (= (tptp.a @t4 @t1) (tptp.u @t4 @t15)))) % 281.18/281.48 (define @t22 () (tptp.n @t4)) % 281.18/281.48 (define @t23 () (= @t22 (tptp.a @t4 @t4))) % 281.18/281.48 (define @t24 () (forall @t14 @t23)) % 281.18/281.48 (define @t25 () (tptp.p @t1)) % 281.18/281.48 (define @t26 () (tptp.mem @t4 @t25)) % 281.18/281.48 (define @t27 () (forall @t10 (= @t26 @t8))) % 281.18/281.48 (define @t28 () (tptp.subq @t4 @t25)) % 281.18/281.48 (define @t29 () (not @t28)) % 281.18/281.48 (define @t30 () (tptp.mem @t1 @t4)) % 281.18/281.48 (define @t31 () (and @t30 @t29)) % 281.18/281.48 (define @t32 () (@list @t1)) % 281.18/281.48 (define @t33 () (exists @t32 @t31)) % 281.18/281.48 (define @t34 () (tptp.atleast2p @t4)) % 281.18/281.48 (define @t35 () (= @t34 @t33)) % 281.18/281.48 (define @t36 () (forall @t14 @t35)) % 281.18/281.48 (define @t37 () (not @t8)) % 281.18/281.48 (define @t38 () (tptp.atleast2p @t1)) % 281.18/281.48 (define @t39 () (and @t13 @t38 @t37)) % 281.18/281.48 (define @t40 () (exists @t32 @t39)) % 281.18/281.48 (define @t41 () (tptp.atleast3p @t4)) % 281.18/281.48 (define @t42 () (= @t41 @t40)) % 281.18/281.48 (define @t43 () (forall @t14 @t42)) % 281.18/281.48 (define @t44 () (tptp.n tptp.e)) % 281.18/281.48 (define @t45 () (tptp.s @t44)) % 281.18/281.48 (define @t46 () (tptp.p @t45)) % 281.18/281.48 (define @t47 () (tptp.p @t46)) % 281.18/281.48 (define @t48 () (tptp.s @t45)) % 281.18/281.48 (define @t49 () (tptp.u @t48 @t47)) % 281.18/281.48 (define @t50 () (not (tptp.atleast3p (tptp.a @t49 (tptp.a @t45 (tptp.n @t44)))))) % 281.18/281.48 (define @t51 () (not @t5)) % 281.18/281.48 (define @t52 () (forall @t6 (or @t51 @t3))) % 281.18/281.48 (define @t53 () (@var "BOUND_VARIABLE_7776" $$unsorted)) % 281.18/281.48 (define @t54 () (@var "BOUND_VARIABLE_7775" $$unsorted)) % 281.18/281.48 (define @t55 () (lambda (@list @t54 @t53) (forall @t6 (or (not (tptp.mem @t2 @t54)) (tptp.mem @t2 @t53))))) % 281.18/281.48 (define @t56 () (_ @t55 @t4 @t1)) % 281.18/281.48 (define @t57 () (= @t8 @t26)) % 281.18/281.48 (define @t58 () (tptp.s tptp.e)) % 281.18/281.48 (define @t59 () (tptp.u tptp.e @t58)) % 281.18/281.48 (define @t60 () (tptp.s @t59)) % 281.18/281.48 (define @t61 () (tptp.u @t59 @t60)) % 281.18/281.48 (define @t62 () (tptp.u @t60 (tptp.s @t61))) % 281.18/281.48 (define @t63 () (tptp.s @t62)) % 281.18/281.48 (define @t64 () (tptp.p @t60)) % 281.18/281.48 (define @t65 () (tptp.p @t64)) % 281.18/281.48 (define @t66 () (tptp.s @t60)) % 281.18/281.48 (define @t67 () (tptp.u @t66 @t65)) % 281.18/281.48 (define @t68 () (tptp.u @t67 @t63)) % 281.18/281.48 (define @t69 () (tptp.mem @t2 @t68)) % 281.18/281.48 (define @t70 () (tptp.mem @t2 @t64)) % 281.18/281.48 (define @t71 () (forall @t6 (or (not @t70) @t69))) % 281.18/281.48 (define @t72 () (@quantifiers_skolemize @t71 0)) % 281.18/281.48 (define @t73 () (tptp.p @t59)) % 281.18/281.48 (define @t74 () (forall @t6 (or (not (tptp.mem @t2 @t73)) @t69))) % 281.18/281.48 (define @t75 () (@quantifiers_skolemize @t74 0)) % 281.18/281.48 (define @t76 () (tptp.mem @t75 @t73)) % 281.18/281.48 (define @t77 () (tptp.mem @t75 @t68)) % 281.18/281.48 (define @t78 () (not @t76)) % 281.18/281.48 (define @t79 () (or @t78 @t77)) % 281.18/281.48 (define @t80 () (tptp.mem @t2 @t59)) % 281.18/281.48 (define @t81 () (not (tptp.mem @t2 @t75))) % 281.18/281.48 (define @t82 () (forall @t6 (or @t81 @t80))) % 281.18/281.48 (define @t83 () (= @t76 @t82)) % 281.18/281.48 (define @t84 () (forall @t6 (or (not (tptp.mem @t2 @t65)) @t69))) % 281.18/281.48 (define @t85 () (@quantifiers_skolemize @t84 0)) % 281.18/281.48 (define @t86 () (tptp.mem @t85 @t65)) % 281.18/281.48 (define @t87 () (tptp.mem @t85 @t68)) % 281.18/281.48 (define @t88 () (not @t86)) % 281.18/281.48 (define @t89 () (or @t88 @t87)) % 281.18/281.48 (define @t90 () (or (tptp.mem @t85 @t66) @t86)) % 281.18/281.48 (define @t91 () (tptp.mem @t85 @t67)) % 281.18/281.48 (define @t92 () (or @t91 (tptp.mem @t85 @t63))) % 281.18/281.48 (define @t93 () (= @t87 @t92)) % 281.18/281.48 (define @t94 () (= @t91 @t90)) % 281.18/281.48 (define @t95 () (@list false false true false false true false)) % 281.18/281.48 (define @t96 () (not @t89)) % 281.18/281.48 (define @t97 () (not @t84)) % 281.18/281.48 (define @t98 () (@list false)) % 281.18/281.48 (define @t99 () (tptp.mem @t75 @t65)) % 281.18/281.48 (define @t100 () (not @t99)) % 281.18/281.48 (define @t101 () (or @t100 @t77)) % 281.18/281.48 (define @t102 () (forall @t6 (or @t81 @t70))) % 281.18/281.48 (define @t103 () (@quantifiers_skolemize @t102 0)) % 281.18/281.48 (define @t104 () (@list @t103)) % 281.18/281.48 (define @t105 () (tptp.mem @t103 @t59)) % 281.18/281.48 (define @t106 () (tptp.mem @t103 @t75)) % 281.18/281.48 (define @t107 () (not @t106)) % 281.18/281.48 (define @t108 () (or @t107 @t105)) % 281.18/281.48 (define @t109 () (= @t99 @t102)) % 281.18/281.48 (define @t110 () (not @t102)) % 281.18/281.48 (define @t111 () (tptp.mem @t103 @t64)) % 281.18/281.48 (define @t112 () (or @t107 @t111)) % 281.18/281.48 (define @t113 () (not @t112)) % 281.18/281.48 (define @t114 () (not @t80)) % 281.18/281.48 (define @t115 () (forall @t6 (or @t114 @t70))) % 281.18/281.48 (define @t116 () (@quantifiers_skolemize @t115 0)) % 281.18/281.48 (define @t117 () (tptp.mem @t116 @t59)) % 281.18/281.48 (define @t118 () (tptp.mem @t116 @t64)) % 281.18/281.48 (define @t119 () (not @t117)) % 281.18/281.48 (define @t120 () (or @t119 @t118)) % 281.18/281.48 (define @t121 () (tptp.mem @t116 @t58)) % 281.18/281.48 (define @t122 () (tptp.mem @t116 tptp.e)) % 281.18/281.48 (define @t123 () (or @t122 @t121)) % 281.18/281.48 (define @t124 () (= @t117 @t123)) % 281.18/281.48 (define @t125 () (tptp.mem @t2 @t60)) % 281.18/281.48 (define @t126 () (forall @t6 (or (not (tptp.mem @t2 @t116)) @t125))) % 281.18/281.48 (define @t127 () (= @t118 @t126)) % 281.18/281.48 (define @t128 () (not @t126)) % 281.18/281.48 (define @t129 () (tptp.mem @t2 tptp.e)) % 281.18/281.48 (define @t130 () (forall @t6 (or (not @t129) @t70))) % 281.18/281.48 (define @t131 () (@quantifiers_skolemize @t130 0)) % 281.18/281.48 (define @t132 () (tptp.mem @t131 tptp.e)) % 281.18/281.48 (define @t133 () (not @t132)) % 281.18/281.48 (define @t134 () (or @t133 (tptp.mem @t131 @t64))) % 281.18/281.48 (define @t135 () (@list true)) % 281.18/281.48 (define @t136 () (not @t134)) % 281.18/281.48 (define @t137 () (not @t130)) % 281.18/281.48 (define @t138 () (not @t122)) % 281.18/281.48 (define @t139 () (or @t138 @t118)) % 281.18/281.48 (define @t140 () (@quantifiers_skolemize @t126 0)) % 281.18/281.48 (define @t141 () (tptp.mem @t140 @t116)) % 281.18/281.48 (define @t142 () (not @t141)) % 281.18/281.48 (define @t143 () (or @t142 (tptp.mem @t140 @t60))) % 281.18/281.48 (define @t144 () (not @t143)) % 281.18/281.48 (define @t145 () (= @t116 tptp.e)) % 281.18/281.48 (define @t146 () (forall @t10 (= @t12 @t16))) % 281.18/281.48 (define @t147 () (= @t145 @t121)) % 281.18/281.48 (define @t148 () (= tptp.e @t116)) % 281.18/281.48 (define @t149 () (= @t121 @t148)) % 281.18/281.48 (define @t150 () (@list @t146)) % 281.18/281.48 (define @t151 () (tptp.mem @t140 tptp.e)) % 281.18/281.48 (define @t152 () (not @t148)) % 281.18/281.48 (define @t153 () (not @t151)) % 281.18/281.48 (define @t154 () (= true false)) % 281.18/281.48 (define @t155 () (and @t153 @t148 @t141)) % 281.18/281.48 (define @t156 () (not @t120)) % 281.18/281.48 (define @t157 () (not @t115)) % 281.18/281.48 (define @t158 () (not @t105)) % 281.18/281.48 (define @t159 () (or @t158 @t111)) % 281.18/281.48 (define @t160 () (@list @t115)) % 281.18/281.48 (define @t161 () (not @t79)) % 281.18/281.48 (define @t162 () (not @t74)) % 281.18/281.48 (define @t163 () (tptp.mem @t72 @t68)) % 281.18/281.48 (define @t164 () (tptp.mem @t72 @t73)) % 281.18/281.48 (define @t165 () (not @t164)) % 281.18/281.48 (define @t166 () (or @t165 @t163)) % 281.18/281.48 (define @t167 () (@var "BOUND_VARIABLE_7936" $$unsorted)) % 281.18/281.48 (define @t168 () (tptp.mem @t167 @t1)) % 281.18/281.48 (define @t169 () (@var "BOUND_VARIABLE_7925" $$unsorted)) % 281.18/281.48 (define @t170 () (@var "BOUND_VARIABLE_7927" $$unsorted)) % 281.18/281.48 (define @t171 () (tptp.mem @t170 (tptp.p @t169))) % 281.18/281.48 (define @t172 () (not (tptp.mem @t170 @t1))) % 281.18/281.48 (define @t173 () (not (tptp.mem @t169 @t1))) % 281.18/281.48 (define @t174 () (not @t3)) % 281.18/281.48 (define @t175 () (@list @t1 @t169 @t170 @t167)) % 281.18/281.48 (define @t176 () (forall @t175 (or (not (forall @t6 (or @t174 @t69))) @t173 @t172 @t171 (not (tptp.mem @t167 @t68)) @t168))) % 281.18/281.48 (define @t177 () (@var "BOUND_VARIABLE_7950" $$unsorted)) % 281.18/281.48 (define @t178 () (lambda (@list @t177) (not (forall @t175 (or (not (forall @t6 (or @t174 (tptp.mem @t2 @t177)))) @t173 @t172 @t171 (not (tptp.mem @t167 @t177)) @t168))))) % 281.18/281.48 (define @t179 () (@var "BOUND_VARIABLE_7821" $$unsorted)) % 281.18/281.48 (define @t180 () (@var "BOUND_VARIABLE_7820" $$unsorted)) % 281.18/281.48 (define @t181 () (lambda (@list @t180 @t179) (tptp.u @t180 (tptp.s @t179)))) % 281.18/281.48 (define @t182 () (@var "BOUND_VARIABLE_7840" $$unsorted)) % 281.18/281.48 (define @t183 () (lambda (@list @t182) (tptp.u @t182 (tptp.s @t182)))) % 281.18/281.48 (define @t184 () (_ @t183 tptp.e)) % 281.18/281.48 (define @t185 () (_ @t183 @t184)) % 281.18/281.48 (define @t186 () (tptp.s @t184)) % 281.18/281.48 (define @t187 () (_ @t181 @t186 @t185)) % 281.18/281.48 (define @t188 () (tptp.p @t186)) % 281.18/281.48 (define @t189 () (tptp.p @t188)) % 281.18/281.48 (define @t190 () (tptp.s @t186)) % 281.18/281.48 (define @t191 () (tptp.u @t190 @t189)) % 281.18/281.48 (define @t192 () (_ @t181 @t191 @t187)) % 281.18/281.48 (define @t193 () (_ @t178 @t192)) % 281.18/281.48 (define @t194 () (tptp.u @t4 (tptp.s @t4))) % 281.18/281.48 (define @t195 () (_ @t181 @t4 @t4)) % 281.18/281.48 (define @t196 () (= @t22 @t195)) % 281.18/281.48 (define @t197 () (not (tptp.mem @t167 @t4))) % 281.18/281.48 (define @t198 () (forall @t6 (or @t174 @t5))) % 281.18/281.48 (define @t199 () (not @t198)) % 281.18/281.48 (define @t200 () (or @t199 @t173 @t172 @t171 @t197 @t168)) % 281.18/281.48 (define @t201 () (or @t197 @t168)) % 281.18/281.48 (define @t202 () (or @t173 @t172 @t171)) % 281.18/281.48 (define @t203 () (or @t199 @t202 @t201)) % 281.18/281.48 (define @t204 () (forall @t175 @t203)) % 281.18/281.48 (define @t205 () (forall (@list @t169 @t170 @t167) @t203)) % 281.18/281.48 (define @t206 () (forall (@list @t167) @t201)) % 281.18/281.48 (define @t207 () (@list @t2)) % 281.18/281.48 (define @t208 () (forall (@list @t169 @t170) @t202)) % 281.18/281.48 (define @t209 () (@var "BOUND_VARIABLE_7867" $$unsorted)) % 281.18/281.48 (define @t210 () (@var "BOUND_VARIABLE_7903" $$unsorted)) % 281.18/281.48 (define @t211 () (or @t199 @t208 @t206)) % 281.18/281.48 (define @t212 () (tptp.mem @t209 (tptp.p @t210))) % 281.18/281.48 (define @t213 () (@list @t210 @t209)) % 281.18/281.48 (define @t214 () (forall @t213 (or (not (tptp.mem @t210 @t1)) (not (tptp.mem @t209 @t1)) @t212))) % 281.18/281.48 (define @t215 () (@var "BOUND_VARIABLE_7881" $$unsorted)) % 281.18/281.49 (define @t216 () (not (tptp.mem @t209 @t215))) % 281.18/281.49 (define @t217 () (@list @t215)) % 281.18/281.49 (define @t218 () (tptp.mem @t209 @t25)) % 281.18/281.49 (define @t219 () (@list @t1 @t209)) % 281.18/281.49 (define @t220 () (forall @t219 (or (not (tptp.mem @t1 @t215)) @t216 @t218))) % 281.18/281.49 (define @t221 () (not @t220)) % 281.18/281.49 (define @t222 () (lambda @t217 @t221)) % 281.18/281.49 (define @t223 () (not (_ @t222 @t1))) % 281.18/281.49 (define @t224 () (_ @t55 @t1 @t4)) % 281.18/281.49 (define @t225 () (not @t224)) % 281.18/281.49 (define @t226 () (or @t225 @t223 @t56)) % 281.18/281.49 (define @t227 () (forall @t32 @t226)) % 281.18/281.49 (define @t228 () (not @t227)) % 281.18/281.49 (define @t229 () (= @t41 @t228)) % 281.18/281.49 (define @t230 () (not (tptp.mem @t209 @t4))) % 281.18/281.49 (define @t231 () (not @t30)) % 281.18/281.49 (define @t232 () (or @t231 @t230 @t218)) % 281.18/281.49 (define @t233 () (or @t230 @t218)) % 281.18/281.49 (define @t234 () (or @t231 @t233)) % 281.18/281.49 (define @t235 () (forall @t219 @t234)) % 281.18/281.49 (define @t236 () (@list @t209)) % 281.18/281.49 (define @t237 () (forall @t236 @t234)) % 281.18/281.49 (define @t238 () (forall @t236 @t233)) % 281.18/281.49 (define @t239 () (or @t231 @t238)) % 281.18/281.49 (define @t240 () (forall @t6 (or @t51 (tptp.mem @t2 @t25)))) % 281.18/281.49 (define @t241 () (_ @t55 @t4 @t25)) % 281.18/281.49 (define @t242 () (or @t231 @t241)) % 281.18/281.49 (define @t243 () (forall @t32 @t242)) % 281.18/281.49 (define @t244 () (not @t243)) % 281.18/281.49 (define @t245 () (= @t34 @t244)) % 281.18/281.49 (define @t246 () (or @t231 @t28)) % 281.18/281.49 (define @t247 () (forall @t32 @t246)) % 281.18/281.49 (define @t248 () (not @t247)) % 281.18/281.49 (define @t249 () (= @t34 @t248)) % 281.18/281.49 (define @t250 () (forall @t32 (not @t31))) % 281.18/281.49 (define @t251 () (not @t250)) % 281.18/281.49 (define @t252 () (not @t38)) % 281.18/281.49 (define @t253 () (not @t13)) % 281.18/281.49 (define @t254 () (or @t253 @t252 @t8)) % 281.18/281.49 (define @t255 () (forall @t32 @t254)) % 281.18/281.49 (define @t256 () (not @t255)) % 281.18/281.49 (define @t257 () (= @t41 @t256)) % 281.18/281.49 (define @t258 () (not @t37)) % 281.18/281.49 (define @t259 () (or @t253 @t252 @t258)) % 281.18/281.49 (define @t260 () (forall @t32 (not @t39))) % 281.18/281.49 (define @t261 () (not @t260)) % 281.18/281.49 (define @t262 () (tptp.mem @t60 @t64)) % 281.18/281.49 (define @t263 () (not @t125)) % 281.18/281.49 (define @t264 () (forall @t6 (or @t263 @t125))) % 281.18/281.49 (define @t265 () (= @t262 @t264)) % 281.18/281.49 (define @t266 () (forall @t10 (= @t26 @t52))) % 281.18/281.49 (define @t267 () (@list @t60 @t60)) % 281.18/281.49 (define @t268 () (@list tptp.e)) % 281.18/281.49 (define @t269 () (tptp.mem tptp.e @t64)) % 281.18/281.49 (define @t270 () (tptp.mem tptp.e @t59)) % 281.18/281.49 (define @t271 () (not @t270)) % 281.18/281.49 (define @t272 () (or @t271 @t269)) % 281.18/281.49 (define @t273 () (tptp.mem tptp.e @t58)) % 281.18/281.49 (define @t274 () (= (= tptp.e tptp.e) @t273)) % 281.18/281.49 (define @t275 () (tptp.mem tptp.e tptp.e)) % 281.18/281.49 (define @t276 () (or @t275 @t273)) % 281.18/281.49 (define @t277 () (= @t270 @t276)) % 281.18/281.49 (define @t278 () (@list false false)) % 281.18/281.49 (define @t279 () (tptp.mem @t59 @t60)) % 281.18/281.49 (define @t280 () (= (= @t59 @t59) @t279)) % 281.18/281.49 (define @t281 () (@list @t59)) % 281.18/281.49 (define @t282 () (tptp.mem @t59 tptp.e)) % 281.18/281.49 (define @t283 () (not @t279)) % 281.18/281.49 (define @t284 () (or @t283 @t282)) % 281.18/281.49 (define @t285 () (not @t284)) % 281.18/281.49 (define @t286 () (@list true false)) % 281.18/281.49 (define @t287 () (forall @t6 (or @t263 @t129))) % 281.18/281.49 (define @t288 () (tptp.p tptp.e)) % 281.18/281.49 (define @t289 () (tptp.mem @t60 @t288)) % 281.18/281.49 (define @t290 () (= @t289 @t287)) % 281.18/281.49 (define @t291 () (not @t289)) % 281.18/281.49 (define @t292 () (= tptp.e @t59)) % 281.18/281.49 (define @t293 () (not @t292)) % 281.18/281.49 (define @t294 () (not @t275)) % 281.18/281.49 (define @t295 () (@list @t275 @t270)) % 281.18/281.49 (define @t296 () (tptp.mem tptp.e @t60)) % 281.18/281.49 (define @t297 () (= @t292 @t296)) % 281.18/281.49 (define @t298 () (not @t296)) % 281.18/281.49 (define @t299 () (or @t271 @t296)) % 281.18/281.49 (define @t300 () (not @t299)) % 281.18/281.49 (define @t301 () (forall @t6 (or @t114 @t125))) % 281.18/281.49 (define @t302 () (tptp.mem @t59 @t64)) % 281.18/281.49 (define @t303 () (= @t302 @t301)) % 281.18/281.49 (define @t304 () (not @t302)) % 281.18/281.49 (define @t305 () (tptp.mem @t59 @t65)) % 281.18/281.49 (define @t306 () (= @t305 @t115)) % 281.18/281.49 (define @t307 () (or (tptp.mem @t59 @t66) @t305)) % 281.18/281.49 (define @t308 () (tptp.mem @t59 @t67)) % 281.18/281.49 (define @t309 () (= @t308 @t307)) % 281.18/281.49 (define @t310 () (or @t308 (tptp.mem @t59 @t63))) % 281.18/281.49 (define @t311 () (tptp.mem @t59 @t68)) % 281.18/281.49 (define @t312 () (= @t311 @t310)) % 281.18/281.49 (define @t313 () (not @t311)) % 281.18/281.49 (define @t314 () (not @t262)) % 281.18/281.49 (define @t315 () (not @t269)) % 281.18/281.49 (define @t316 () (not @t71)) % 281.18/281.49 (define @t317 () (or @t316 @t315 @t314 @t289 @t313 @t302)) % 281.18/281.49 (define @t318 () (tptp.mem @t72 @t64)) % 281.18/281.49 (define @t319 () (not @t318)) % 281.18/281.49 (define @t320 () (or @t319 @t163)) % 281.18/281.49 (define @t321 () (not @t320)) % 281.18/281.49 (define @t322 () (@list @t320)) % 281.18/281.49 (define @t323 () (not (tptp.mem @t2 @t72))) % 281.18/281.49 (define @t324 () (forall @t6 (or @t323 @t80))) % 281.18/281.49 (define @t325 () (= @t164 @t324)) % 281.18/281.49 (define @t326 () (not @t324)) % 281.18/281.49 (define @t327 () (@quantifiers_skolemize @t324 0)) % 281.18/281.49 (define @t328 () (tptp.mem @t327 @t59)) % 281.18/281.49 (define @t329 () (tptp.mem @t327 @t72)) % 281.18/281.49 (define @t330 () (not @t329)) % 281.18/281.49 (define @t331 () (or @t330 @t328)) % 281.18/281.49 (define @t332 () (not @t331)) % 281.18/281.49 (define @t333 () (not @t328)) % 281.18/281.49 (define @t334 () (@list @t331)) % 281.18/281.49 (define @t335 () (forall @t6 (or @t323 @t125))) % 281.18/281.49 (define @t336 () (= @t318 @t335)) % 281.18/281.49 (define @t337 () (tptp.mem @t327 @t60)) % 281.18/281.49 (define @t338 () (or @t330 @t337)) % 281.18/281.49 (define @t339 () (= @t327 @t59)) % 281.18/281.49 (define @t340 () (= @t339 @t337)) % 281.18/281.49 (define @t341 () (= @t59 @t327)) % 281.18/281.49 (define @t342 () (= @t337 @t341)) % 281.18/281.49 (define @t343 () (not @t337)) % 281.18/281.49 (define @t344 () (tptp.mem @t60 @t60)) % 281.18/281.49 (define @t345 () (= (= @t60 @t59) @t344)) % 281.18/281.49 (define @t346 () (= @t59 @t60)) % 281.18/281.49 (define @t347 () (= @t346 @t344)) % 281.18/281.49 (define @t348 () (forall @t6 (or (not (tptp.mem @t2 @t66)) @t69))) % 281.18/281.49 (define @t349 () (@quantifiers_skolemize @t348 0)) % 281.18/281.49 (define @t350 () (tptp.mem @t349 @t66)) % 281.18/281.49 (define @t351 () (tptp.mem @t349 @t68)) % 281.18/281.49 (define @t352 () (not @t350)) % 281.18/281.49 (define @t353 () (or @t352 @t351)) % 281.18/281.49 (define @t354 () (or @t350 (tptp.mem @t349 @t65))) % 281.18/281.49 (define @t355 () (tptp.mem @t349 @t67)) % 281.18/281.49 (define @t356 () (or @t355 (tptp.mem @t349 @t63))) % 281.18/281.49 (define @t357 () (= @t351 @t356)) % 281.18/281.49 (define @t358 () (= @t355 @t354)) % 281.18/281.49 (define @t359 () (not @t353)) % 281.18/281.49 (define @t360 () (not @t348)) % 281.18/281.49 (define @t361 () (tptp.mem @t60 @t68)) % 281.18/281.49 (define @t362 () (tptp.mem @t60 @t66)) % 281.18/281.49 (define @t363 () (not @t362)) % 281.18/281.49 (define @t364 () (or @t363 @t361)) % 281.18/281.49 (define @t365 () (= (= @t60 @t60) @t362)) % 281.18/281.49 (define @t366 () (tptp.mem @t59 @t59)) % 281.18/281.49 (define @t367 () (or @t366 @t279)) % 281.18/281.49 (define @t368 () (tptp.mem @t59 @t61)) % 281.18/281.49 (define @t369 () (= @t368 @t367)) % 281.18/281.49 (define @t370 () (forall @t6 (or @t263 @t69))) % 281.18/281.49 (define @t371 () (@quantifiers_skolemize @t370 0)) % 281.18/281.49 (define @t372 () (tptp.mem @t371 @t60)) % 281.18/281.49 (define @t373 () (tptp.mem @t371 @t68)) % 281.18/281.49 (define @t374 () (not @t372)) % 281.18/281.49 (define @t375 () (or @t374 @t373)) % 281.18/281.49 (define @t376 () (= @t371 @t59)) % 281.18/281.49 (define @t377 () (= @t376 @t372)) % 281.18/281.49 (define @t378 () (= @t59 @t371)) % 281.18/281.49 (define @t379 () (= @t372 @t378)) % 281.18/281.49 (define @t380 () (not @t378)) % 281.18/281.49 (define @t381 () (not @t373)) % 281.18/281.49 (define @t382 () (and @t311 @t378 @t381)) % 281.18/281.49 (define @t383 () (not @t375)) % 281.18/281.49 (define @t384 () (not @t370)) % 281.18/281.49 (define @t385 () (forall @t6 (or (not (tptp.mem @t2 @t61)) @t69))) % 281.18/281.49 (define @t386 () (@quantifiers_skolemize @t385 0)) % 281.18/281.49 (define @t387 () (@list @t386)) % 281.18/281.49 (define @t388 () (tptp.mem @t386 @t68)) % 281.18/281.49 (define @t389 () (tptp.mem @t386 @t60)) % 281.18/281.49 (define @t390 () (not @t389)) % 281.18/281.49 (define @t391 () (or @t390 @t388)) % 281.18/281.49 (define @t392 () (tptp.mem @t386 @t61)) % 281.18/281.49 (define @t393 () (not @t392)) % 281.18/281.49 (define @t394 () (or @t393 @t388)) % 281.18/281.49 (define @t395 () (tptp.mem @t386 @t59)) % 281.18/281.49 (define @t396 () (or @t395 @t389)) % 281.18/281.49 (define @t397 () (= @t392 @t396)) % 281.18/281.49 (define @t398 () (forall @t6 (or @t114 @t69))) % 281.18/281.49 (define @t399 () (@quantifiers_skolemize @t398 0)) % 281.18/281.49 (define @t400 () (tptp.mem @t399 @t59)) % 281.18/281.49 (define @t401 () (tptp.mem @t399 @t68)) % 281.18/281.49 (define @t402 () (not @t400)) % 281.18/281.49 (define @t403 () (or @t402 @t401)) % 281.18/281.49 (define @t404 () (tptp.mem @t399 @t58)) % 281.18/281.49 (define @t405 () (tptp.mem @t399 tptp.e)) % 281.18/281.49 (define @t406 () (or @t405 @t404)) % 281.18/281.49 (define @t407 () (= @t400 @t406)) % 281.18/281.49 (define @t408 () (tptp.mem @t399 @t67)) % 281.18/281.49 (define @t409 () (or @t408 (tptp.mem @t399 @t63))) % 281.18/281.49 (define @t410 () (= @t401 @t409)) % 281.18/281.49 (define @t411 () (= @t399 tptp.e)) % 281.18/281.49 (define @t412 () (= @t411 @t404)) % 281.18/281.49 (define @t413 () (= tptp.e @t399)) % 281.18/281.49 (define @t414 () (= @t404 @t413)) % 281.18/281.49 (define @t415 () (tptp.mem @t399 @t65)) % 281.18/281.49 (define @t416 () (or (tptp.mem @t399 @t66) @t415)) % 281.18/281.49 (define @t417 () (= @t408 @t416)) % 281.18/281.49 (define @t418 () (tptp.mem tptp.e @t65)) % 281.18/281.49 (define @t419 () (= @t418 @t130)) % 281.18/281.49 (define @t420 () (and @t418 @t413)) % 281.18/281.49 (define @t421 () (not @t403)) % 281.18/281.49 (define @t422 () (not @t398)) % 281.18/281.49 (define @t423 () (not @t395)) % 281.18/281.49 (define @t424 () (or @t423 @t388)) % 281.18/281.49 (define @t425 () (not @t391)) % 281.18/281.49 (define @t426 () (not @t394)) % 281.18/281.49 (define @t427 () (not @t385)) % 281.18/281.49 (define @t428 () (or @t270 @t296)) % 281.18/281.49 (define @t429 () (tptp.mem tptp.e @t61)) % 281.18/281.49 (define @t430 () (= @t429 @t428)) % 281.18/281.49 (define @t431 () (or @t271 @t275)) % 281.18/281.49 (define @t432 () (not @t431)) % 281.18/281.49 (define @t433 () (forall @t6 (or @t114 @t129))) % 281.18/281.49 (define @t434 () (tptp.mem @t59 @t288)) % 281.18/281.49 (define @t435 () (= @t434 @t433)) % 281.18/281.49 (define @t436 () (not @t434)) % 281.18/281.49 (define @t437 () (tptp.mem @t60 @t61)) % 281.18/281.49 (define @t438 () (not @t361)) % 281.18/281.49 (define @t439 () (not @t368)) % 281.18/281.49 (define @t440 () (not @t429)) % 281.18/281.49 (define @t441 () (or @t427 @t440 @t439 @t434 @t438 @t437)) % 281.18/281.49 (define @t442 () (tptp.mem @t60 @t59)) % 281.18/281.49 (define @t443 () (or @t442 @t344)) % 281.18/281.49 (define @t444 () (= @t437 @t443)) % 281.18/281.49 (define @t445 () (not @t366)) % 281.18/281.49 (define @t446 () (not @t341)) % 281.18/281.49 (define @t447 () (not @t333)) % 281.18/281.49 (define @t448 () (and @t333 @t341)) % 281.18/281.49 (define @t449 () (not @t442)) % 281.18/281.49 (define @t450 () (or @t422 @t271 @t449 @t289 @t313 @t366)) % 281.18/281.49 (define @t451 () (not @t346)) % 281.18/281.49 (define @t452 () (and @t333 @t341 @t346 @t337)) % 281.18/281.49 (assume @p1 @t11) % 281.18/281.49 (assume @p2 (forall @t10 (=> @t8 (=> @t13 @t12)))) % 281.18/281.49 (assume @p3 (forall @t10 (= (tptp.disj @t4 @t1) (not (exists @t6 (and @t5 @t3)))))) % 281.18/281.49 (assume @p4 (forall @t14 (not (tptp.mem @t4 tptp.e)))) % 281.18/281.49 (assume @p5 @t17) % 281.18/281.49 (assume @p6 (forall @t20 (= (tptp.mem @t4 (tptp.u @t1 @t2)) (or @t19 @t18)))) % 281.18/281.49 (assume @p7 (forall @t20 (= (tptp.mem @t4 (tptp.m @t1 @t2)) (and @t19 (not @t18))))) % 281.18/281.49 (assume @p8 @t21) % 281.18/281.49 (assume @p9 @t24) % 281.18/281.49 (assume @p10 @t27) % 281.18/281.49 (assume @p11 @t36) % 281.18/281.49 (assume @p12 @t43) % 281.18/281.49 (assume @p13 (forall @t14 (= (tptp.atleast4p @t4) (exists @t32 (and @t13 (tptp.atleast3p @t1) @t37))))) % 281.18/281.49 (assume @p14 (forall @t14 (= (tptp.atleast5p @t4) (exists @t32 (and @t13 (tptp.atleast4p @t1) @t37))))) % 281.18/281.49 (assume @p15 (forall @t14 (= (tptp.atleast6p @t4) (exists @t32 (and @t13 (tptp.atleast5p @t1) @t37))))) % 281.18/281.49 (assume @p16 (forall @t14 (= (tptp.atleast7p @t4) (exists @t32 (and @t13 (tptp.atleast6p @t1) @t37))))) % 281.18/281.49 (assume @p17 (forall @t14 (= (tptp.atleast8p @t4) (exists @t32 (and @t13 (tptp.atleast7p @t1) @t37))))) % 281.18/281.49 (assume @p18 (forall @t14 (= (tptp.atleast9p @t4) (exists @t32 (and @t13 (tptp.atleast8p @t1) @t37))))) % 281.18/281.49 (assume @p19 (forall @t14 (= (tptp.atleast10p @t4) (exists @t32 (and @t13 (tptp.atleast9p @t1) @t37))))) % 281.18/281.49 (assume @p20 (forall @t14 (= (tptp.atleast11p @t4) (exists @t32 (and @t13 (tptp.atleast10p @t1) @t37))))) % 281.18/281.49 (assume @p21 (forall @t14 (= (tptp.atleast12p @t4) (exists @t32 (and @t13 (tptp.atleast11p @t1) @t37))))) % 281.18/281.49 (assume @p22 (forall @t14 (= (tptp.atleast13p @t4) (exists @t32 (and @t13 (tptp.atleast12p @t1) @t37))))) % 281.18/281.49 (assume @p23 (forall @t14 (= (tptp.atleast14p @t4) (exists @t32 (and @t13 (tptp.atleast13p @t1) @t37))))) % 281.18/281.49 (assume @p24 (forall @t14 (= (tptp.atleast15p @t4) (exists @t32 (and @t13 (tptp.atleast14p @t1) @t37))))) % 281.18/281.49 (assume @p25 (forall @t14 (= (tptp.atleast16p @t4) (exists @t32 (and @t13 (tptp.atleast15p @t1) @t37))))) % 281.18/281.49 (assume @p26 @t50) % 281.18/281.49 (assume @p27 true) % 281.18/281.49 (step @p28 :rule beta-reduce :args ((= @t56 @t52))) % 281.18/281.49 (step @p29 :rule refl :args (@t26)) % 281.18/281.49 (step @p30 :rule cong :premises (@p29 @p28) :args ((= @t26 @t56))) % 281.18/281.49 (step @p31 :rule eq-symm :args (@t56 @t26)) % 281.18/281.49 (step @p32 :rule trans :premises (@p31 @p30)) % 281.18/281.49 (step @p33 :rule cong :premises (@p32) :args ((forall @t10 (= @t56 @t26)))) % 281.18/281.49 (step @p34 :rule refl :args (@t1)) % 281.18/281.49 (step @p35 :rule refl :args (@t4)) % 281.18/281.49 ; WARNING: add trust step for TRUST % 281.18/281.49 ; trust TRUST SUBS_EQ % 281.18/281.49 (step @p36 :rule trust :premises () :args ((= (forall @t10 (= @t8 @t52)) (= tptp.subq @t55)))) % 281.18/281.49 (step @p37 :rule bool-impl-elim :args (@t5 @t3)) % 281.18/281.49 (step @p38 :rule cong :premises (@p37) :args (@t7)) % 281.18/281.49 (step @p39 :rule refl :args (@t8)) % 281.18/281.49 (step @p40 :rule cong :premises (@p39 @p38) :args (@t9)) % 281.18/281.49 (step @p41 :rule cong :premises 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281.18/281.49 (step @p136 :rule reordering :premises (@p135) :args ((or @t118 @t128 (not @t127)))) % 281.18/281.49 (step @p137 :rule instantiate :premises (@p4) :args ((@list @t131))) % 281.18/281.49 (step @p138 :rule bool-double-not-elim :args (@t132)) % 281.18/281.49 (step @p139 :rule refl :args (@t134)) % 281.18/281.49 (step @p140 :rule nary_cong :premises (@p139 @p138) :args ((or @t134 (not @t133)))) % 281.18/281.49 (step @p141 :rule cnf_or_neg :args (@t134 0)) % 281.18/281.49 (step @p142 :rule eq_resolve :premises (@p141 @p140)) % 281.18/281.49 (step @p143 :rule reordering :premises (@p142) :args ((or @t132 @t134))) % 281.18/281.49 (step @p144 :rule chain_m_resolution :premises (@p143 @p137) :args (@t134 @t135 (@list @t132))) % 281.18/281.49 (step @p145 :rule refl :args (@t136)) % 281.18/281.49 (step @p146 :rule bool-double-not-elim :args (@t130)) % 281.18/281.49 (step @p147 :rule nary_cong :premises (@p146 @p145) :args ((or (not @t137) @t136))) % 281.18/281.49 (assume-push @p987 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(step-pop @p1010 :rule scope :premises (@p244)) % 281.18/281.49 (step @p245 :rule process_scope :premises (@p1010) :args (@t159)) % 281.18/281.49 (step @p247 :rule implies_elim :premises (@p245)) % 281.18/281.49 (step @p248 :rule chain_m_resolution :premises (@p247 @p242) :args (@t159 @t98 @t160)) % 281.18/281.49 (step @p249 :rule cnf_or_pos :args (@t159)) % 281.18/281.49 (step @p250 :rule reordering :premises (@p249) :args ((or @t111 @t158 (not @t159)))) % 281.18/281.49 (step @p251 :rule chain_m_resolution :premises (@p250 @p248 @p123 @p121 @p120 @p114 @p105 @p103 @p102 @p97 @p95 @p62 @p60 @p59 @p58) :args (@t79 (@list false false true false true true false false true false false false true false) (@list @t159 @t105 @t111 @t106 @t112 @t102 @t109 @t108 @t99 @t101 @t82 @t83 @t77 @t76))) % 281.18/281.49 (step @p252 :rule refl :args (@t161)) % 281.18/281.49 (step @p253 :rule bool-double-not-elim :args (@t74)) % 281.18/281.49 (step @p254 :rule nary_cong :premises (@p253 @p252) :args ((or (not @t162) @t161))) % 281.18/281.49 (assume-push @p1011 @t162) % 281.18/281.49 (step @p256 :rule skolemize :premises (@p1011)) % 281.18/281.49 (step-pop @p1012 :rule scope :premises (@p256)) % 281.18/281.49 (step @p257 :rule process_scope :premises (@p1012) :args (@t161)) % 281.18/281.49 (step @p259 :rule implies_elim :premises (@p257)) % 281.18/281.49 (step @p260 :rule eq_resolve :premises (@p259 @p254)) % 281.18/281.49 (step @p261 :rule chain_m_resolution :premises (@p260 @p251) :args (@t74 @t98 (@list @t79))) % 281.18/281.49 (assume-push @p1013 @t74) % 281.18/281.49 (step @p263 :rule instantiate :premises (@p1013) :args ((@list @t72))) % 281.18/281.49 (step-pop @p1014 :rule scope :premises (@p263)) % 281.18/281.49 (step @p264 :rule process_scope :premises (@p1014) :args (@t166)) % 281.18/281.49 (step @p266 :rule implies_elim :premises (@p264)) % 281.18/281.49 (step @p267 :rule chain_m_resolution :premises (@p266 @p261) :args (@t166 @t98 (@list @t74))) % 281.18/281.49 (step @p268 :rule bool-double-not-elim :args (@t176)) % 281.18/281.49 (step @p269 :rule beta-reduce :args ((= (_ @t178 @t68) (not @t176)))) % 281.18/281.49 (step @p270 :rule beta-reduce :args ((= (_ @t181 @t67 @t62) @t68))) % 281.18/281.49 (step @p271 :rule beta-reduce :args ((= (_ @t181 @t60 @t61) @t62))) % 281.18/281.49 (step @p272 :rule beta-reduce :args ((= (_ @t183 @t59) @t61))) % 281.18/281.49 (step @p273 :rule beta-reduce :args ((= @t184 @t59))) % 281.18/281.49 (step @p274 :rule cong :premises (@p273) :args (@t185)) % 281.18/281.49 (step @p275 :rule trans :premises (@p274 @p272)) % 281.18/281.49 (step @p276 :rule cong :premises (@p273) :args (@t186)) % 281.18/281.49 (step @p277 :rule cong :premises (@p276 @p275) :args (@t187)) % 281.18/281.49 (step @p278 :rule trans :premises (@p277 @p271)) % 281.18/281.49 (step @p279 :rule cong :premises (@p276) :args (@t188)) % 281.18/281.49 (step @p280 :rule cong :premises (@p279) :args (@t189)) % 281.18/281.49 (step @p281 :rule cong :premises (@p276) :args (@t190)) % 281.18/281.49 (step @p282 :rule cong :premises (@p281 @p280) :args (@t191)) % 281.18/281.49 (step @p283 :rule cong :premises (@p282 @p278) :args (@t192)) % 281.18/281.49 (step @p284 :rule trans :premises (@p283 @p270)) % 281.18/281.49 (step @p285 :rule cong :premises (@p284) :args (@t193)) % 281.18/281.49 (step @p286 :rule trans :premises (@p285 @p269)) % 281.18/281.49 (step @p287 :rule cong :premises (@p286) :args ((not @t193))) % 281.18/281.49 (step @p288 :rule trans :premises (@p287 @p268)) % 281.18/281.49 (step @p289 :rule refl :args (tptp.e)) % 281.18/281.49 ; trust TRUST SUBS_EQ % 281.18/281.49 (step @p290 :rule trust :premises () :args ((= (forall @t14 (= @t22 @t194)) (= tptp.n @t183)))) % 281.18/281.49 (step @p291 :rule beta-reduce :args ((= @t195 @t194))) % 281.18/281.49 (step @p292 :rule refl :args (@t22)) % 281.18/281.49 (step @p293 :rule cong :premises (@p292 @p291) :args (@t196)) % 281.18/281.49 (step @p294 :rule cong :premises (@p293) :args ((forall @t14 @t196))) % 281.18/281.49 ; trust TRUST SUBS_EQ % 281.18/281.49 (step @p295 :rule trust :premises () :args ((= @t21 (= tptp.a @t181)))) % 281.18/281.49 (step @p296 :rule eq_resolve :premises (@p8 @p295)) % 281.18/281.49 (step @p297 :rule ho_cong :premises (@p296 @p35 @p35)) % 281.18/281.49 (step @p298 :rule cong :premises (@p292 @p297) :args (@t23)) % 281.18/281.49 (step @p299 :rule cong :premises (@p298) :args (@t24)) % 281.18/281.49 (step @p300 :rule trans :premises (@p299 @p294)) % 281.18/281.49 (step @p301 :rule eq_resolve :premises (@p9 @p300)) % 281.18/281.49 (step @p302 :rule eq_resolve :premises (@p301 @p290)) % 281.18/281.49 (step @p303 :rule ho_cong :premises (@p302 @p289)) % 281.18/281.49 (step @p304 :rule ho_cong :premises (@p302 @p303)) % 281.18/281.49 (step @p305 :rule cong :premises (@p303) :args (@t45)) % 281.18/281.49 (step @p306 :rule ho_cong :premises (@p296 @p305 @p304)) % 281.18/281.49 (step @p307 :rule cong :premises (@p305) :args (@t46)) % 281.18/281.49 (step @p308 :rule cong :premises (@p307) :args (@t47)) % 281.18/281.49 (step @p309 :rule cong :premises (@p305) :args (@t48)) % 281.18/281.49 (step @p310 :rule cong :premises (@p309 @p308) :args (@t49)) % 281.18/281.49 (step @p311 :rule ho_cong :premises (@p296 @p310 @p306)) % 281.18/281.49 ; trust TRUST SUBS_EQ % 281.18/281.49 (step @p312 :rule trust :premises () :args ((= (forall @t14 (= @t41 (not (forall @t175 @t200)))) (= tptp.atleast3p @t178)))) % 281.18/281.49 (step @p313 :rule aci_norm :args ((= @t203 @t200))) % 281.18/281.49 (step @p314 :rule cong :premises (@p313) :args (@t204)) % 281.18/281.49 (step @p315 :rule quant-merge-prenex :args ((= (forall @t32 @t205) @t204))) % 281.18/281.49 (step @p316 :rule alpha_equiv :args (@t206 (@list @t167) @t207)) % 281.18/281.49 (step @p317 :rule alpha_equiv :args (@t208 (@list @t169 @t170) (@list @t210 @t209))) % 281.18/281.49 (step @p318 :rule refl :args (@t199)) % 281.18/281.49 (step @p319 :rule nary_cong :premises (@p318 @p317 @p316) :args (@t211)) % 281.18/281.49 (step @p320 :rule quant-miniscope-or :args ((= @t205 @t211))) % 281.18/281.49 (step @p321 :rule trans :premises (@p320 @p319)) % 281.18/281.49 (step @p322 :rule symm :premises (@p321)) % 281.18/281.49 (step @p323 :rule cong :premises (@p322) :args ((forall @t32 (or @t199 @t214 @t52)))) % 281.18/281.49 (step @p324 :rule trans :premises (@p323 @p315)) % 281.18/281.49 (step @p325 :rule trans :premises (@p324 @p314)) % 281.18/281.49 (step @p326 :rule bool-double-not-elim :args (@t214)) % 281.18/281.49 (step @p327 :rule beta-reduce :args ((= (_ (lambda @t217 (not (forall @t213 (or (not (tptp.mem @t210 @t215)) @t216 @t212)))) @t1) (not @t214)))) % 281.18/281.49 (step @p328 :rule refl :args (@t1)) % 281.18/281.49 (step @p329 :rule alpha_equiv :args (@t220 (@list @t1) (@list @t210))) % 281.18/281.49 (step @p330 :rule cong :premises (@p329) :args (@t221)) % 281.18/281.49 (step @p331 :rule cong :premises (@p330) :args (@t222)) % 281.18/281.49 (step @p332 :rule ho_cong :premises (@p331 @p328)) % 281.18/281.49 (step @p333 :rule trans :premises (@p332 @p327)) % 281.18/281.49 (step @p334 :rule cong :premises (@p333) :args (@t223)) % 281.18/281.49 (step @p335 :rule trans :premises (@p334 @p326)) % 281.18/281.49 (step @p336 :rule beta-reduce :args ((= @t224 @t198))) % 281.18/281.49 (step @p337 :rule cong :premises (@p336) :args (@t225)) % 281.18/281.49 (step @p338 :rule nary_cong :premises (@p337 @p335 @p28) :args (@t226)) % 281.18/281.49 (step @p339 :rule cong :premises (@p338) :args (@t227)) % 281.18/281.49 (step @p340 :rule trans :premises (@p339 @p325)) % 281.18/281.49 (step @p341 :rule cong :premises (@p340) :args (@t228)) % 281.18/281.49 (step @p342 :rule refl :args (@t41)) % 281.18/281.49 (step @p343 :rule cong :premises (@p342 @p341) :args (@t229)) % 281.18/281.49 (step @p344 :rule cong :premises (@p343) :args ((forall @t14 @t229))) % 281.18/281.49 ; trust TRUST SUBS_EQ % 281.18/281.49 (step @p345 :rule trust :premises () :args ((= (forall @t14 (= @t34 (not (forall @t219 @t232)))) (= tptp.atleast2p @t222)))) % 281.18/281.49 (step @p346 :rule aci_norm :args ((= @t234 @t232))) % 281.18/281.49 (step @p347 :rule cong :premises (@p346) :args (@t235)) % 281.18/281.49 (step @p348 :rule quant-merge-prenex :args ((= (forall @t32 @t237) @t235))) % 281.18/281.49 (step @p349 :rule alpha_equiv :args (@t238 (@list @t209) @t207)) % 281.18/281.49 (step @p350 :rule refl :args (@t231)) % 281.18/281.49 (step @p351 :rule nary_cong :premises (@p350 @p349) :args (@t239)) % 281.18/281.49 (step @p352 :rule quant-miniscope-or :args ((= @t237 @t239))) % 281.18/281.49 (step @p353 :rule trans :premises (@p352 @p351)) % 281.18/281.49 (step @p354 :rule symm :premises (@p353)) % 281.18/281.49 (step @p355 :rule cong :premises (@p354) :args ((forall @t32 (or @t231 @t240)))) % 281.18/281.49 (step @p356 :rule trans :premises (@p355 @p348)) % 281.18/281.49 (step @p357 :rule trans :premises (@p356 @p347)) % 281.18/281.49 (step @p358 :rule beta-reduce :args ((= @t241 @t240))) % 281.18/281.49 (step @p359 :rule refl :args (@t231)) % 281.18/281.49 (step @p360 :rule nary_cong :premises (@p359 @p358) :args (@t242)) % 281.18/281.49 (step @p361 :rule cong :premises (@p360) :args (@t243)) % 281.18/281.49 (step @p362 :rule trans :premises (@p361 @p357)) % 281.18/281.49 (step @p363 :rule cong :premises (@p362) :args (@t244)) % 281.18/281.49 (step @p364 :rule refl :args (@t34)) % 281.18/281.49 (step @p365 :rule cong :premises (@p364 @p363) :args (@t245)) % 281.18/281.49 (step @p366 :rule cong :premises (@p365) :args ((forall @t14 @t245))) % 281.18/281.49 (step @p367 :rule refl :args (@t25)) % 281.18/281.49 (step @p368 :rule ho_cong :premises (@p43 @p35 @p367)) % 281.18/281.49 (step @p369 :rule nary_cong :premises (@p359 @p368) :args (@t246)) % 281.18/281.49 (step @p370 :rule cong :premises (@p369) :args (@t247)) % 281.18/281.49 (step @p371 :rule cong :premises (@p370) :args (@t248)) % 281.18/281.49 (step @p372 :rule cong :premises (@p364 @p371) :args (@t249)) % 281.18/281.49 (step @p373 :rule cong :premises (@p372) :args ((forall @t14 @t249))) % 281.18/281.49 (step @p374 :rule trans :premises (@p373 @p366)) % 281.18/281.49 (step @p375 :rule bool-double-not-elim :args (@t28)) % 281.18/281.49 (step @p376 :rule nary_cong :premises (@p350 @p375) :args ((or @t231 (not @t29)))) % 281.18/281.49 (step @p377 :rule bool-and-de-morgan :args (@t30 @t29 true)) % 281.18/281.49 (step @p378 :rule trans :premises (@p377 @p376)) % 281.18/281.49 (step @p379 :rule cong :premises (@p378) :args (@t250)) % 281.18/281.49 (step @p380 :rule cong :premises (@p379) :args (@t251)) % 281.18/281.49 (step @p381 :rule exists-elim :args ((= @t33 @t251))) % 281.18/281.49 (step @p382 :rule trans :premises (@p381 @p380)) % 281.18/281.49 (step @p383 :rule cong :premises (@p364 @p382) :args (@t35)) % 281.18/281.49 (step @p384 :rule cong :premises (@p383) :args (@t36)) % 281.18/281.49 (step @p385 :rule eq_resolve :premises (@p11 @p384)) % 281.18/281.49 (step @p386 :rule eq_resolve :premises (@p385 @p374)) % 281.18/281.49 (step @p387 :rule eq_resolve :premises (@p386 @p345)) % 281.18/281.49 (step @p388 :rule ho_cong :premises (@p387 @p34)) % 281.18/281.49 (step @p389 :rule cong :premises (@p388) :args (@t252)) % 281.18/281.49 (step @p390 :rule ho_cong :premises (@p43 @p34 @p35)) % 281.18/281.49 (step @p391 :rule cong :premises (@p390) :args (@t253)) % 281.18/281.49 (step @p392 :rule nary_cong :premises (@p391 @p389 @p44) :args (@t254)) % 281.18/281.49 (step @p393 :rule cong :premises (@p392) :args (@t255)) % 281.18/281.49 (step @p394 :rule cong :premises (@p393) :args (@t256)) % 281.18/281.49 (step @p395 :rule cong :premises (@p342 @p394) :args (@t257)) % 281.18/281.49 (step @p396 :rule cong :premises (@p395) :args ((forall @t14 @t257))) % 281.18/281.49 (step @p397 :rule trans :premises (@p396 @p344)) % 281.18/281.49 (step @p398 :rule bool-double-not-elim :args (@t8)) % 281.18/281.49 (step @p399 :rule refl :args (@t252)) % 281.18/281.49 (step @p400 :rule refl :args (@t253)) % 281.18/281.49 (step @p401 :rule nary_cong :premises (@p400 @p399 @p398) :args (@t259)) % 281.18/281.49 (step @p402 :rule aci_norm :args ((= (or @t253 (or @t252 @t258)) @t259))) % 281.18/281.49 (step @p403 :rule trans :premises (@p402 @p401)) % 281.18/281.49 (step @p404 :rule bool-and-de-morgan :args (@t38 @t37 true)) % 281.18/281.49 (step @p405 :rule nary_cong :premises (@p400 @p404) :args ((or @t253 (not (and @t38 @t37))))) % 281.18/281.49 (step @p406 :rule bool-and-de-morgan :args (@t13 @t38 (and @t37))) % 281.18/281.49 (step @p407 :rule trans :premises (@p406 @p405)) % 281.18/281.49 (step @p408 :rule trans :premises (@p407 @p403)) % 281.18/281.49 (step @p409 :rule cong :premises (@p408) :args (@t260)) % 281.18/281.49 (step @p410 :rule cong :premises (@p409) :args (@t261)) % 281.18/281.49 (step @p411 :rule exists-elim :args ((= @t40 @t261))) % 281.18/281.49 (step @p412 :rule trans :premises (@p411 @p410)) % 281.18/281.49 (step @p413 :rule cong :premises (@p342 @p412) :args (@t42)) % 281.18/281.49 (step @p414 :rule cong :premises (@p413) :args (@t43)) % 281.18/281.49 (step @p415 :rule eq_resolve :premises (@p12 @p414)) % 281.18/281.49 (step @p416 :rule eq_resolve :premises (@p415 @p397)) % 281.18/281.49 (step @p417 :rule eq_resolve :premises (@p416 @p312)) % 281.18/281.49 (step @p418 :rule ho_cong :premises (@p417 @p311)) % 281.18/281.49 (step @p419 :rule cong :premises (@p418) :args (@t50)) % 281.18/281.49 (step @p420 :rule trans :premises (@p419 @p288)) % 281.18/281.49 (step @p421 :rule eq_resolve :premises (@p26 @p420)) % 281.18/281.49 (step @p422 :rule instantiate :premises (@p421) :args ((@list @t64 tptp.e @t60 @t59))) % 281.18/281.49 (step @p423 :rule bool-eq-true :args (@t262)) % 281.18/281.49 (step @p424 :rule quant-unused-vars :args ((= (forall @t6 true) true))) % 281.18/281.49 (step @p425 :rule bool-or-taut2 :args (false @t125 false false)) % 281.18/281.49 (step @p426 :rule cong :premises (@p425) :args (@t264)) % 281.18/281.49 (step @p427 :rule trans :premises (@p426 @p424)) % 281.18/281.49 (step @p428 :rule refl :args (@t262)) % 281.18/281.49 (step @p429 :rule cong :premises (@p428 @p427) :args (@t265)) % 281.18/281.49 (step @p430 :rule trans :premises (@p429 @p423)) % 281.18/281.49 (step @p431 :rule refl :args (@t266)) % 281.18/281.49 (step @p432 :rule cong :premises (@p431 @p430) :args ((=> @t266 @t265))) % 281.18/281.49 (assume-push @p1015 @t266) % 281.18/281.49 (step @p434 :rule instantiate :premises (@p51) :args (@t267)) % 281.18/281.49 (step-pop @p1016 :rule scope :premises (@p434)) % 281.18/281.49 (step @p435 :rule process_scope :premises (@p1016) :args (@t265)) % 281.18/281.49 (step @p437 :rule eq_resolve :premises (@p435 @p432)) % 281.18/281.49 (step @p438 :rule implies_elim :premises (@p437)) % 281.18/281.49 (step @p439 :rule chain_m_resolution :premises (@p438 @p51) :args (@t262 @t98 (@list @t266))) % 281.18/281.49 (assume-push @p1017 @t115) % 281.18/281.49 (step @p441 :rule instantiate :premises (@p1017) :args (@t268)) % 281.18/281.49 (step-pop @p1018 :rule scope :premises (@p441)) % 281.18/281.49 (step @p442 :rule process_scope :premises (@p1018) :args (@t272)) % 281.18/281.49 (step @p444 :rule implies_elim :premises (@p442)) % 281.18/281.49 (step @p445 :rule chain_m_resolution :premises (@p444 @p242) :args (@t272 @t98 @t160)) % 281.18/281.49 (step @p446 :rule instantiate :premises (@p6) :args ((@list tptp.e tptp.e @t58))) % 281.18/281.49 (step @p447 :rule bool-eq-true :args (@t273)) % 281.18/281.49 (step @p448 :rule eq-symm :args (true @t273)) % 281.18/281.49 (step @p449 :rule trans :premises (@p448 @p447)) % 281.18/281.49 (step @p450 :rule refl :args (@t273)) % 281.18/281.49 (step @p451 :rule eq-refl :args (tptp.e)) % 281.18/281.49 (step @p452 :rule cong :premises (@p451 @p450) :args (@t274)) % 281.18/281.49 (step @p453 :rule trans :premises (@p452 @p449)) % 281.18/281.49 (step @p454 :rule cong :premises (@p188 @p453) :args ((=> @t146 @t274))) % 281.18/281.49 (assume-push @p1019 @t146) % 281.18/281.49 (step @p456 :rule instantiate :premises (@p182) :args ((@list tptp.e tptp.e))) % 281.18/281.49 (step-pop @p1020 :rule scope :premises (@p456)) % 281.18/281.49 (step @p457 :rule process_scope :premises (@p1020) :args (@t274)) % 281.18/281.49 (step @p459 :rule eq_resolve :premises (@p457 @p454)) % 281.18/281.49 (step @p460 :rule implies_elim :premises (@p459)) % 281.18/281.49 (step @p461 :rule chain_m_resolution :premises (@p460 @p182) :args (@t273 @t98 @t150)) % 281.18/281.49 (step @p462 :rule cnf_or_neg :args (@t276 1)) % 281.18/281.49 (step @p463 :rule reordering :premises (@p462) :args ((or (not @t273) @t276))) % 281.18/281.49 (step @p464 :rule chain_m_resolution :premises (@p463 @p461) :args (@t276 @t98 (@list @t273))) % 281.18/281.49 (step @p465 :rule cnf_equiv_pos2 :args (@t277)) % 281.18/281.49 (step @p466 :rule reordering :premises (@p465) :args ((or @t270 (not @t276) (not @t277)))) % 281.18/281.49 (step @p467 :rule chain_m_resolution :premises (@p466 @p464 @p446) :args (@t270 @t278 (@list @t276 @t277))) % 281.18/281.49 (step @p468 :rule cnf_or_pos :args (@t272)) % 281.18/281.49 (step @p469 :rule reordering :premises (@p468) :args ((or @t271 @t269 (not @t272)))) % 281.18/281.49 (step @p470 :rule chain_m_resolution :premises (@p469 @p467 @p445) :args (@t269 @t278 (@list @t270 @t272))) % 281.18/281.49 (step @p471 :rule instantiate :premises (@p51) :args ((@list @t60 tptp.e))) % 281.18/281.49 (step @p472 :rule bool-eq-true :args (@t279)) % 281.18/281.49 (step @p473 :rule eq-symm :args (true @t279)) % 281.18/281.49 (step @p474 :rule trans :premises (@p473 @p472)) % 281.18/281.49 (step @p475 :rule refl :args (@t279)) % 281.18/281.49 (step @p476 :rule eq-refl :args (@t59)) % 281.18/281.49 (step @p477 :rule cong :premises (@p476 @p475) :args (@t280)) % 281.18/281.49 (step @p478 :rule trans :premises (@p477 @p474)) % 281.18/281.49 (step @p479 :rule cong :premises (@p188 @p478) :args ((=> @t146 @t280))) % 281.18/281.49 (assume-push @p1021 @t146) % 281.18/281.49 (step @p481 :rule instantiate :premises (@p182) :args ((@list @t59 @t59))) % 281.18/281.49 (step-pop @p1022 :rule scope :premises (@p481)) % 281.18/281.49 (step @p482 :rule process_scope :premises (@p1022) :args (@t280)) % 281.18/281.49 (step @p484 :rule eq_resolve :premises (@p482 @p479)) % 281.18/281.49 (step @p485 :rule implies_elim :premises (@p484)) % 281.18/281.49 (step @p486 :rule chain_m_resolution :premises (@p485 @p182) :args (@t279 @t98 @t150)) % 281.18/281.49 (step @p487 :rule instantiate :premises (@p4) :args (@t281)) % 281.18/281.49 (step @p488 :rule cnf_or_pos :args (@t284)) % 281.18/281.49 (step @p489 :rule reordering :premises (@p488) :args ((or @t282 @t283 @t285))) % 281.18/281.49 (step @p490 :rule chain_m_resolution :premises (@p489 @p487 @p486) :args (@t285 @t286 (@list @t282 @t279))) % 281.18/281.49 (assume-push @p1023 @t287) % 281.18/281.49 (step @p492 :rule instantiate :premises (@p1023) :args (@t281)) % 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cnf_equiv_pos1 :args (@t435)) % 281.18/281.49 (step @p898 :rule reordering :premises (@p897) :args ((or @t433 @t436 (not @t435)))) % 281.18/281.49 (step @p899 :rule chain_m_resolution :premises (@p898 @p896 @p887) :args (@t436 @t286 (@list @t433 @t435))) % 281.18/281.49 (step @p900 :rule cnf_or_pos :args (@t441)) % 281.18/281.49 (step @p901 :rule reordering :premises (@p900) :args ((or @t434 @t440 @t427 @t437 @t439 @t438 (not @t441)))) % 281.18/281.49 (step @p902 :rule chain_m_resolution :premises (@p901 @p899 @p886 @p879 @p702 @p695 @p644) :args (@t437 (@list true false false false false false) (@list @t434 @t429 @t385 @t368 @t361 @t441))) % 281.18/281.49 (step @p903 :rule cnf_equiv_pos1 :args (@t444)) % 281.18/281.49 (step @p904 :rule reordering :premises (@p903) :args ((or (not @t437) @t443 (not @t444)))) % 281.18/281.49 (step @p905 :rule chain_m_resolution :premises (@p904 @p902 @p643) :args (@t443 @t278 (@list @t437 @t444))) % 281.18/281.49 (step @p906 :rule instantiate :premises (@p421) :args ((@list @t59 tptp.e @t60 @t59))) % 281.18/281.49 (step @p907 :rule refl :args (@t445)) % 281.18/281.49 (step @p908 :rule refl :args (@t446)) % 281.18/281.49 (step @p909 :rule bool-double-not-elim :args (@t328)) % 281.18/281.49 (step @p910 :rule nary_cong :premises (@p909 @p908 @p907) :args ((or @t447 @t446 @t445))) % 281.18/281.49 (assume-push @p1085 @t333) % 281.18/281.49 (assume-push @p1086 @t341) % 281.18/281.49 (assume-push @p1087 @t333) % 281.18/281.49 (assume-push @p1088 @t341) % 281.18/281.49 (step @p915 :rule false_intro :premises (@p1085)) % 281.18/281.49 (step @p916 :rule refl :args (@t59)) % 281.18/281.49 (step @p917 :rule cong :premises (@p1086 @p916) :args (@t366)) % 281.18/281.49 (step @p918 :rule trans :premises (@p917 @p915)) % 281.18/281.49 (step @p919 :rule false_elim :premises (@p918)) % 281.18/281.49 (step-pop @p1089 :rule scope :premises (@p919)) % 281.18/281.49 (step-pop @p1090 :rule scope :premises (@p1089)) % 281.18/281.49 (step @p920 :rule process_scope :premises (@p1090) :args (@t445)) % 281.18/281.49 (step @p923 :rule and_intro :premises (@p1085 @p1086)) % 281.18/281.49 (step @p924 :rule modus_ponens :premises (@p923 @p920)) % 281.18/281.49 (step-pop @p1091 :rule scope :premises (@p924)) % 281.18/281.49 (step-pop @p1092 :rule scope :premises (@p1091)) % 281.18/281.49 (step @p925 :rule process_scope :premises (@p1092) :args (@t445)) % 281.18/281.49 (step @p928 :rule implies_elim :premises (@p925)) % 281.18/281.49 (step @p929 :rule cnf_and_neg :args (@t448)) % 281.18/281.49 (step @p930 :rule resolution :premises (@p929 @p928) :args (true @t448)) % 281.18/281.49 (step @p931 :rule eq_resolve :premises (@p930 @p910)) % 281.18/281.49 (step @p932 :rule reordering :premises (@p931) :args ((or @t445 @t328 @t446))) % 281.18/281.49 (step @p933 :rule chain_m_resolution :premises (@p932 @p588 @p631) :args (@t445 @t286 (@list @t328 @t341))) % 281.18/281.49 (step @p934 :rule cnf_or_pos :args (@t450)) % 281.18/281.49 (step @p935 :rule reordering :premises (@p934) :args ((or @t271 @t313 @t422 @t366 @t289 @t449 (not @t450)))) % 281.18/281.49 (step @p936 :rule chain_m_resolution :premises (@p935 @p467 @p555 @p855 @p933 @p499 @p906) :args (@t449 (@list false false false true true false) (@list @t270 @t311 @t398 @t366 @t289 @t450))) % 281.18/281.49 (step @p937 :rule cnf_or_pos :args (@t443)) % 281.18/281.49 (step @p938 :rule reordering :premises (@p937) :args ((or @t344 @t442 (not @t443)))) % 281.18/281.49 (step @p939 :rule chain_m_resolution :premises (@p938 @p936 @p905) :args (@t344 @t286 (@list @t442 @t443))) % 281.18/281.49 (step @p940 :rule cnf_equiv_pos2 :args (@t347)) % 281.18/281.49 (step @p941 :rule reordering :premises (@p940) :args ((or @t346 (not @t344) (not @t347)))) % 281.18/281.49 (step @p942 :rule chain_m_resolution :premises (@p941 @p939 @p642) :args (@t346 @t278 (@list @t344 @t347))) % 281.18/281.49 (step @p943 :rule refl :args (@t343)) % 281.18/281.49 (step @p944 :rule refl :args (@t451)) % 281.18/281.49 (step @p945 :rule nary_cong :premises (@p944 @p909 @p943 @p908) :args ((or @t451 @t447 @t343 @t446))) % 281.18/281.49 (assume-push @p1093 @t333) % 281.18/281.49 (assume-push @p1094 @t341) % 281.18/281.49 (assume-push @p1095 @t346) % 281.18/281.49 (assume-push @p1096 @t337) % 281.18/281.49 (step @p207 :rule evaluate :args (@t154)) % 281.18/281.49 (step @p950 :rule false_intro :premises (@p1093)) % 281.18/281.49 (step @p916 :rule refl :args (@t59)) % 281.18/281.49 (step @p951 :rule cong :premises (@p1094 @p916) :args (@t366)) % 281.18/281.49 (step @p952 :rule symm :premises (@p1095)) % 281.18/281.49 (step @p953 :rule symm :premises (@p1094)) % 281.18/281.49 (step @p954 :rule cong :premises (@p953 @p952) :args (@t337)) % 281.18/281.49 (step @p955 :rule true_intro :premises (@p1096)) % 281.18/281.49 (step @p956 :rule symm :premises (@p955)) % 281.18/281.49 (step @p957 :rule trans :premises (@p956 @p954 @p951 @p950)) % 281.18/281.49 (step @p958 false :rule eq_resolve :premises (@p957 @p207)) % 281.18/281.49 (step-pop @p1097 :rule scope :premises (@p958)) % 281.18/281.49 (step-pop @p1098 :rule scope :premises (@p1097)) % 281.18/281.49 (step-pop @p1099 :rule scope :premises (@p1098)) % 281.18/281.49 (step-pop @p1100 :rule scope :premises (@p1099)) % 281.18/281.49 (step @p959 :rule process_scope :premises (@p1100) :args (false)) % 281.18/281.49 (assume-push @p1101 @t346) % 281.18/281.49 (assume-push @p1102 @t333) % 281.18/281.49 (assume-push @p1103 @t337) % 281.18/281.49 (assume-push @p1104 @t341) % 281.18/281.49 (step @p968 :rule and_intro :premises (@p1102 @p1104 @p1101 @p1103)) % 281.18/281.49 (step-pop @p1105 :rule scope :premises (@p968)) % 281.18/281.49 (step-pop @p1106 :rule scope :premises (@p1105)) % 281.18/281.49 (step-pop @p1107 :rule scope :premises (@p1106)) % 281.18/281.49 (step-pop @p1108 :rule scope :premises (@p1107)) % 281.18/281.49 (step @p969 :rule process_scope :premises (@p1108) :args (@t452)) % 281.18/281.49 (step @p974 :rule implies_elim :premises (@p969)) % 281.18/281.49 (step @p975 :rule resolution :premises (@p974 @p959) :args (true @t452)) % 281.18/281.49 (step @p976 :rule not_and :premises (@p975)) % 281.18/281.49 (step @p977 :rule eq_resolve :premises (@p976 @p945)) % 281.18/281.49 (step @p978 false :rule chain_m_resolution :premises (@p977 @p942 @p631 @p615 @p588) :args (false (@list false false false true) (@list @t346 @t341 @t337 @t328))) % 281.18/281.49 ) % 281.18/281.49 % SZS output end Proof % 281.18/281.49 % cvc5 exiting %------------------------------------------------------------------------------