%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU594^2 : TPTP v9.2.1. Released v3.7.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n014.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 08:52:20 AM UTC 2026 % Result : Theorem 111.16s 111.43s % Output : Proof 111.16s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU594^2 : TPTP v9.2.1. Released v3.7.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.15/0.34 % Computer : n014.cluster.edu % 0.15/0.34 % Model : x86_64 x86_64 % 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.34 % Memory : 8042.1875MB % 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.34 % CPULimit : 300 % 0.15/0.34 % WCLimit : 300 % 0.15/0.34 % DateTime : Tue Jun 2 17:42:58 EDT 2026 % 0.15/0.34 % CPUTime : % 0.30/0.48 %----Proving TH0 % 111.16/111.43 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 111.16/111.43 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --mbqi-enum-choice-grammar-all --no-cegqi --no-sygus-inst at 30s... % 111.16/111.43 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-mbqi-nested-check --no-cegqi --no-sygus-inst at 30s... % 111.16/111.43 --- Run --ho-elim --full-saturate-quant at 18s... % 111.16/111.43 --- Run --ho-elim --no-e-matching --full-saturate-quant at 12s... % 111.16/111.43 --- Run --ho-elim --no-e-matching --enum-inst-sum --full-saturate-quant at 12s... % 111.16/111.43 % SZS status Theorem % 111.16/111.43 % SZS output start Proof % 111.16/111.43 ( % 111.16/111.43 (declare-sort $$unsorted 0) % 111.16/111.43 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 111.16/111.43 (declare-const tptp.dsetconstr (-> $$unsorted (-> $$unsorted Bool) $$unsorted)) % 111.16/111.43 (declare-const tptp.binintersectEL Bool) % 111.16/111.43 (declare-const tptp.subsetI1 Bool) % 111.16/111.43 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 111.16/111.43 (declare-const tptp.in__Cong Bool) % 111.16/111.43 (define tptp.binintersect () (let ((_let_1 (@var "B" $$unsorted))) (let ((_let_2 (@var "Xx" $$unsorted))) (let ((_let_3 (@var "A" $$unsorted))) (lambda (@list _let_3 _let_1) (_ (_ tptp.dsetconstr _let_3) (lambda (@list _let_2) (_ (_ tptp.in _let_2) _let_1)))))))) % 111.16/111.43 (define @t1 () (@var "B" $$unsorted)) % 111.16/111.43 (define @t2 () (@var "Xy" $$unsorted)) % 111.16/111.43 (define @t3 () (_ (_ tptp.in @t2) @t1)) % 111.16/111.43 (define @t4 () (@var "A" $$unsorted)) % 111.16/111.43 (define @t5 () (@var "Xx" $$unsorted)) % 111.16/111.43 (define @t6 () (_ tptp.in @t5)) % 111.16/111.43 (define @t7 () (_ @t6 @t4)) % 111.16/111.43 (define @t8 () (= @t7 @t3)) % 111.16/111.43 (define @t9 () (= @t5 @t2)) % 111.16/111.43 (define @t10 () (@list @t5 @t2)) % 111.16/111.43 (define @t11 () (forall @t10 (=> @t9 @t8))) % 111.16/111.43 (define @t12 () (= @t4 @t1)) % 111.16/111.43 (define @t13 () (=> @t12 @t11)) % 111.16/111.43 (define @t14 () (@list @t4 @t1)) % 111.16/111.43 (define @t15 () (forall @t14 @t13)) % 111.16/111.43 (define @t16 () (= tptp.in__Cong @t15)) % 111.16/111.43 (define @t17 () (_ (_ tptp.subset @t4) @t1)) % 111.16/111.43 (define @t18 () (_ @t6 @t1)) % 111.16/111.43 (define @t19 () (@list @t5)) % 111.16/111.43 (define @t20 () (forall @t19 (=> @t7 @t18))) % 111.16/111.43 (define @t21 () (=> @t20 @t17)) % 111.16/111.43 (define @t22 () (forall @t14 @t21)) % 111.16/111.43 (define @t23 () (= tptp.subsetI1 @t22)) % 111.16/111.43 (define @t24 () (_ (_ tptp.binintersect @t4) @t1)) % 111.16/111.43 (define @t25 () (=> (_ @t6 @t24) @t7)) % 111.16/111.43 (define @t26 () (@list @t4 @t1 @t5)) % 111.16/111.43 (define @t27 () (forall @t26 @t25)) % 111.16/111.43 (define @t28 () (= tptp.binintersectEL @t27)) % 111.16/111.43 (define @t29 () (_ (_ tptp.subset @t1) @t4)) % 111.16/111.43 (define @t30 () (= @t24 @t1)) % 111.16/111.43 (define @t31 () (=> @t30 @t29)) % 111.16/111.43 (define @t32 () (forall @t14 @t31)) % 111.16/111.43 (define @t33 () (=> tptp.binintersectEL @t32)) % 111.16/111.43 (define @t34 () (=> tptp.subsetI1 @t33)) % 111.16/111.43 (define @t35 () (=> tptp.in__Cong @t34)) % 111.16/111.43 (define @t36 () (not @t35)) % 111.16/111.43 (define @t37 () (lambda @t19 @t18)) % 111.16/111.43 (define @t38 () (_ tptp.dsetconstr @t4)) % 111.16/111.43 (define @t39 () (_ @t38 @t37)) % 111.16/111.43 (define @t40 () (lambda @t14 @t39)) % 111.16/111.43 (define @t41 () (@const 0 (@ho-elim-sort (-> $$unsorted $$unsorted Bool)))) % 111.16/111.43 (define @t42 () (@const 1 (-> (@ho-elim-sort (-> $$unsorted $$unsorted Bool)) $$unsorted (@ho-elim-sort (-> $$unsorted Bool))))) % 111.16/111.43 (define @t43 () (@const 2 (-> (@ho-elim-sort (-> $$unsorted Bool)) $$unsorted Bool))) % 111.16/111.43 (define @t44 () (@const 3 (@ho-elim-sort (-> $$unsorted $$unsorted Bool)))) % 111.16/111.43 (define @t45 () (@const 4 (@ho-elim-sort (-> $$unsorted (@ho-elim-sort (-> $$unsorted Bool)) $$unsorted)))) % 111.16/111.43 (define @t46 () (@const 5 (-> (@ho-elim-sort (-> $$unsorted (@ho-elim-sort (-> $$unsorted Bool)) $$unsorted)) $$unsorted (@ho-elim-sort (-> (@ho-elim-sort (-> $$unsorted Bool)) $$unsorted))))) % 111.16/111.43 (define @t47 () (_ @t46 @t45 @t4)) % 111.16/111.43 (define @t48 () (@const 6 (-> (@ho-elim-sort (-> (@ho-elim-sort (-> $$unsorted Bool)) $$unsorted)) (@ho-elim-sort (-> $$unsorted Bool)) $$unsorted))) % 111.16/111.43 (define @t49 () (forall @t14 (or (not (= @t1 (_ @t48 @t47 (_ @t42 @t44 @t1)))) (_ @t43 (_ @t42 @t41 @t1) @t4)))) % 111.16/111.43 (define @t50 () (@const 7 (@ho-elim-sort (-> $$unsorted $$unsorted Bool)))) % 111.16/111.43 (define @t51 () (_ @t42 @t50 @t5)) % 111.16/111.43 (define @t52 () (_ @t43 @t51 @t4)) % 111.16/111.43 (define @t53 () (@const 8 (@ho-elim-sort (-> $$unsorted $$unsorted Bool)))) % 111.16/111.43 (define @t54 () (tptp.subset @t1 @t4)) % 111.16/111.43 (define @t55 () (@const 9 (-> $$unsorted $$unsorted Bool))) % 111.16/111.43 (define @t56 () (tptp.in @t5 @t4)) % 111.16/111.43 (define @t57 () (@const 10 (-> $$unsorted $$unsorted Bool))) % 111.16/111.43 (define @t58 () (tptp.subset @t4 @t1)) % 111.16/111.43 (define @t59 () (tptp.in @t5 @t1)) % 111.16/111.43 (define @t60 () (forall @t19 (or (not @t56) @t59))) % 111.16/111.43 (define @t61 () (not @t60)) % 111.16/111.43 (define @t62 () (forall @t14 (or @t61 @t58))) % 111.16/111.43 (define @t63 () (not (=> @t62 (=> (forall @t26 (or (not (tptp.in @t5 (tptp.dsetconstr @t4 (_ @t57 @t1)))) @t56)) (forall @t14 (or (not (= @t1 (tptp.dsetconstr @t4 (_ @t55 @t1)))) @t54)))))) % 111.16/111.43 (define @t64 () (lambda @t19 @t59)) % 111.16/111.43 (define @t65 () (tptp.dsetconstr @t4 @t64)) % 111.16/111.43 (define @t66 () (forall @t14 (or (not (= @t1 @t65)) @t54))) % 111.16/111.43 (define @t67 () (@var "BOUND_VARIABLE_7541" $$unsorted)) % 111.16/111.43 (define @t68 () (tptp.in @t67 @t1)) % 111.16/111.43 (define @t69 () (@list @t67)) % 111.16/111.43 (define @t70 () (lambda @t69 @t68)) % 111.16/111.43 (define @t71 () (tptp.dsetconstr @t4 @t70)) % 111.16/111.43 (define @t72 () (tptp.in @t5 @t71)) % 111.16/111.43 (define @t73 () (=> @t62 (=> (forall @t26 (or (not @t72) @t56)) @t66))) % 111.16/111.43 (define @t74 () (_ (_ tptp.in @t67) @t1)) % 111.16/111.43 (define @t75 () (lambda @t69 @t74)) % 111.16/111.43 (define @t76 () (_ @t38 @t75)) % 111.16/111.43 (define @t77 () (_ @t6 @t76)) % 111.16/111.43 (define @t78 () (not @t77)) % 111.16/111.43 (define @t79 () (or @t78 @t7)) % 111.16/111.43 (define @t80 () (=> (_ @t6 @t39) @t7)) % 111.16/111.43 (define @t81 () (lambda (@list @t1) @t39)) % 111.16/111.43 (define @t82 () (_ @t40 @t4)) % 111.16/111.43 (define @t83 () (_ @t82 @t1)) % 111.16/111.43 (define @t84 () (=> (_ @t6 @t83) @t7)) % 111.16/111.43 (define @t85 () (forall @t26 @t84)) % 111.16/111.43 (define @t86 () (=> tptp.binintersectEL @t66)) % 111.16/111.43 (define @t87 () (or @t61 @t17)) % 111.16/111.43 (define @t88 () (not @t7)) % 111.16/111.43 (define @t89 () (or @t88 @t18)) % 111.16/111.43 (define @t90 () (=> tptp.subsetI1 @t86)) % 111.16/111.43 (define @t91 () (@var "BOUND_VARIABLE_7492" $$unsorted)) % 111.16/111.43 (define @t92 () (@list @t1 @t91)) % 111.16/111.43 (define @t93 () (tptp.in @t91 @t1)) % 111.16/111.43 (define @t94 () (not (= @t1 @t1))) % 111.16/111.43 (define @t95 () (or @t94 (= @t93 @t93))) % 111.16/111.43 (define @t96 () (= @t93 (tptp.in @t91 @t4))) % 111.16/111.43 (define @t97 () (not @t12)) % 111.16/111.43 (define @t98 () (or @t97 @t97 @t96)) % 111.16/111.43 (define @t99 () (@list @t4)) % 111.16/111.43 (define @t100 () (or @t97 @t96)) % 111.16/111.43 (define @t101 () (forall @t99 @t100)) % 111.16/111.43 (define @t102 () (forall @t92 @t101)) % 111.16/111.43 (define @t103 () (forall (@list @t1 @t91 @t4) @t100)) % 111.16/111.43 (define @t104 () (forall (@list @t4 @t1 @t91) @t100)) % 111.16/111.43 (define @t105 () (@list @t91)) % 111.16/111.43 (define @t106 () (forall @t105 @t100)) % 111.16/111.43 (define @t107 () (forall @t105 @t96)) % 111.16/111.43 (define @t108 () (or @t97 @t107)) % 111.16/111.43 (define @t109 () (tptp.in @t2 @t4)) % 111.16/111.43 (define @t110 () (tptp.in @t2 @t1)) % 111.16/111.43 (define @t111 () (= @t110 @t109)) % 111.16/111.43 (define @t112 () (@list @t2)) % 111.16/111.43 (define @t113 () (forall @t112 @t111)) % 111.16/111.43 (define @t114 () (not (= @t2 @t2))) % 111.16/111.43 (define @t115 () (or @t114 (= @t109 @t110))) % 111.16/111.43 (define @t116 () (= @t56 @t110)) % 111.16/111.43 (define @t117 () (not @t9)) % 111.16/111.43 (define @t118 () (or @t117 @t117 @t116)) % 111.16/111.43 (define @t119 () (or @t117 @t116)) % 111.16/111.43 (define @t120 () (forall @t19 @t119)) % 111.16/111.43 (define @t121 () (forall @t112 @t120)) % 111.16/111.43 (define @t122 () (forall (@list @t2 @t5) @t119)) % 111.16/111.43 (define @t123 () (or @t117 @t8)) % 111.16/111.43 (define @t124 () (=> tptp.in__Cong @t90)) % 111.16/111.43 (define @t125 () (= @t1 @t39)) % 111.16/111.43 (define @t126 () (not @t125)) % 111.16/111.43 (define @t127 () (or @t126 @t29)) % 111.16/111.43 (define @t128 () (= @t83 @t1)) % 111.16/111.43 (define @t129 () (=> @t128 @t29)) % 111.16/111.43 (define @t130 () (forall @t14 @t129)) % 111.16/111.43 (define @t131 () (=> tptp.binintersectEL @t130)) % 111.16/111.43 (define @t132 () (=> tptp.subsetI1 @t131)) % 111.16/111.43 (define @t133 () (=> tptp.in__Cong @t132)) % 111.16/111.43 (define @t134 () (@quantifiers_skolemize @t49 1)) % 111.16/111.43 (define @t135 () (_ @t42 @t44 @t134)) % 111.16/111.43 (define @t136 () (@quantifiers_skolemize @t49 0)) % 111.16/111.43 (define @t137 () (_ @t46 @t45 @t136)) % 111.16/111.43 (define @t138 () (_ @t48 @t137 @t135)) % 111.16/111.43 (define @t139 () (= @t134 @t138)) % 111.16/111.43 (define @t140 () (_ @t43 (_ @t42 @t41 @t134) @t136)) % 111.16/111.43 (define @t141 () (not @t139)) % 111.16/111.43 (define @t142 () (or @t141 @t140)) % 111.16/111.43 (define @t143 () (@list true)) % 111.16/111.43 (define @t144 () (@list @t142)) % 111.16/111.43 (define @t145 () (forall @t19 (or (not (_ @t43 @t51 @t134)) (_ @t43 @t51 @t136)))) % 111.16/111.43 (define @t146 () (not @t145)) % 111.16/111.43 (define @t147 () (or @t146 @t140)) % 111.16/111.43 (define @t148 () (@list true false)) % 111.16/111.43 (define @t149 () (@quantifiers_skolemize @t145 0)) % 111.16/111.43 (define @t150 () (_ @t42 @t50 @t149)) % 111.16/111.43 (define @t151 () (_ @t43 @t150 @t134)) % 111.16/111.43 (define @t152 () (_ @t43 @t150 @t136)) % 111.16/111.43 (define @t153 () (not @t151)) % 111.16/111.43 (define @t154 () (or @t153 @t152)) % 111.16/111.43 (define @t155 () (@list @t154)) % 111.16/111.43 (define @t156 () (@var "y" (@ho-elim-sort (-> $$unsorted Bool)))) % 111.16/111.43 (define @t157 () (@var "x" (@ho-elim-sort (-> $$unsorted Bool)))) % 111.16/111.43 (define @t158 () (@var "z" $$unsorted)) % 111.16/111.43 (define @t159 () (@list @t158)) % 111.16/111.43 (define @t160 () (_ @t42 @t53 @t134)) % 111.16/111.43 (define @t161 () (forall @t159 (= (_ @t43 @t135 @t158) (_ @t43 @t160 @t158)))) % 111.16/111.43 (define @t162 () (@quantifiers_skolemize @t161 0)) % 111.16/111.43 (define @t163 () (_ @t43 @t160 @t162)) % 111.16/111.43 (define @t164 () (_ @t43 @t135 @t162)) % 111.16/111.43 (define @t165 () (= @t164 @t163)) % 111.16/111.43 (define @t166 () (@var "BOUND_VARIABLE_7655" $$unsorted)) % 111.16/111.43 (define @t167 () (@var "BOUND_VARIABLE_7656" $$unsorted)) % 111.16/111.43 (define @t168 () (_ @t43 (_ @t42 @t50 @t167) @t166)) % 111.16/111.43 (define @t169 () (_ @t43 (_ @t42 @t44 @t166) @t167)) % 111.16/111.43 (define @t170 () (@list @t166 @t167)) % 111.16/111.43 (define @t171 () (forall @t170 (= @t168 @t169))) % 111.16/111.43 (define @t172 () (forall @t170 (= (tptp.in @t167 @t166) (_ @t55 @t166 @t167)))) % 111.16/111.43 (define @t173 () (@list @t134 @t162)) % 111.16/111.43 (define @t174 () (_ @t43 (_ @t42 @t50 @t162) @t134)) % 111.16/111.43 (define @t175 () (= @t164 @t174)) % 111.16/111.43 (define @t176 () (not @t175)) % 111.16/111.43 (define @t177 () (not @t164)) % 111.16/111.43 (define @t178 () (@var "BOUND_VARIABLE_7662" $$unsorted)) % 111.16/111.43 (define @t179 () (@var "BOUND_VARIABLE_7663" $$unsorted)) % 111.16/111.43 (define @t180 () (_ @t43 (_ @t42 @t50 @t179) @t178)) % 111.16/111.43 (define @t181 () (_ @t43 (_ @t42 @t53 @t178) @t179)) % 111.16/111.43 (define @t182 () (@list @t178 @t179)) % 111.16/111.43 (define @t183 () (forall @t182 (= @t180 @t181))) % 111.16/111.43 (define @t184 () (forall @t182 (= (tptp.in @t179 @t178) (_ @t57 @t178 @t179)))) % 111.16/111.43 (define @t185 () (= @t163 @t174)) % 111.16/111.43 (define @t186 () (not @t185)) % 111.16/111.43 (define @t187 () (not @t174)) % 111.16/111.43 (define @t188 () (not @t165)) % 111.16/111.43 (define @t189 () (not @t161)) % 111.16/111.43 (define @t190 () (= @t135 @t160)) % 111.16/111.43 (define @t191 () (or @t189 @t190)) % 111.16/111.43 (define @t192 () (_ @t43 @t150 (_ @t48 @t137 @t160))) % 111.16/111.43 (define @t193 () (not @t192)) % 111.16/111.43 (define @t194 () (or @t193 @t152)) % 111.16/111.43 (define @t195 () (not @t190)) % 111.16/111.43 (define @t196 () (and @t193 @t190 @t139 @t151)) % 111.16/111.43 (assume @p1 @t16) % 111.16/111.43 (assume @p2 @t23) % 111.16/111.43 (assume @p3 @t28) % 111.16/111.43 (assume @p4 @t36) % 111.16/111.43 (assume @p5 true) % 111.16/111.43 (step @p6 (= tptp.binintersect @t40) :rule refl :args (@t40)) % 111.16/111.43 ; WARNING: add trust step for TRUST % 111.16/111.43 ; trust TRUST PREPROCESS_HO_ELIM % 111.16/111.43 (step @p7 :rule trust :premises () :args ((= @t63 (not (=> (forall @t14 (or (not (forall @t19 (or (not @t52) (_ @t43 @t51 @t1)))) (_ @t43 (_ @t42 @t41 @t4) @t1))) (=> (forall @t26 (or (not (_ @t43 @t51 (_ @t48 @t47 (_ @t42 @t53 @t1)))) @t52)) @t49)))))) % 111.16/111.43 ; trust TRUST PREPROCESS_HO_ELIM % 111.16/111.43 (step @p8 :rule trust :premises () :args ((= (not @t73) @t63))) % 111.16/111.43 (step @p9 :rule bool-impl-true2 :args (@t73)) % 111.16/111.43 (step @p10 :rule cong :premises (@p9) :args ((not (=> true @t73)))) % 111.16/111.43 (step @p11 :rule refl :args (@t66)) % 111.16/111.43 (step @p12 :rule refl :args (@t56)) % 111.16/111.43 (step @p13 :rule refl :args (@t7)) % 111.16/111.43 (step @p14 :rule cong :premises (@p13 @p12) :args ((= @t7 @t56))) % 111.16/111.43 (step @p15 :rule symm :premises (@p14)) % 111.16/111.43 (step @p16 :rule eq_resolve :premises (@p13 @p15)) % 111.16/111.43 (step @p17 :rule refl :args ((tptp.in @t5 @t76))) % 111.16/111.43 (step @p18 :rule refl :args ((tptp.dsetconstr @t4 @t75))) % 111.16/111.43 (step @p19 :rule refl :args (@t68)) % 111.16/111.43 (step @p20 :rule cong :premises (@p19) :args (@t70)) % 111.16/111.43 (step @p21 :rule refl :args (@t4)) % 111.16/111.43 (step @p22 :rule cong :premises (@p21 @p20) :args (@t71)) % 111.16/111.43 (step @p23 :rule trans :premises (@p22 @p18)) % 111.16/111.43 (step @p24 :rule refl :args (@t5)) % 111.16/111.43 (step @p25 :rule cong :premises (@p24 @p23) :args (@t72)) % 111.16/111.43 (step @p26 :rule trans :premises (@p25 @p17)) % 111.16/111.43 (step @p27 :rule refl :args (@t6)) % 111.16/111.43 (step @p28 :rule ho_cong :premises (@p27 @p23)) % 111.16/111.43 (step @p29 :rule cong :premises (@p28 @p26) :args ((= (_ @t6 @t71) @t72))) % 111.16/111.43 (step @p30 :rule symm :premises (@p29)) % 111.16/111.43 (step @p31 :rule refl :args (@t77)) % 111.16/111.43 (step @p32 :rule eq_resolve :premises (@p31 @p30)) % 111.16/111.43 (step @p33 :rule refl :args (@t38)) % 111.16/111.43 (step @p34 :rule ho_cong :premises (@p33 @p20)) % 111.16/111.43 (step @p35 :rule cong :premises (@p34 @p23) :args ((= (_ @t38 @t70) @t71))) % 111.16/111.43 (step @p36 :rule symm :premises (@p35)) % 111.16/111.43 (step @p37 :rule refl :args (@t76)) % 111.16/111.43 (step @p38 :rule eq_resolve :premises (@p37 @p36)) % 111.16/111.43 (step @p39 :rule refl :args (@t74)) % 111.16/111.43 (step @p40 :rule cong :premises (@p39 @p19) :args ((= @t74 @t68))) % 111.16/111.43 (step @p41 :rule symm :premises (@p40)) % 111.16/111.43 (step @p42 :rule eq_resolve :premises (@p39 @p41)) % 111.16/111.43 (step @p43 :rule cong :premises (@p42) :args (@t75)) % 111.16/111.43 (step @p44 :rule ho_cong :premises (@p33 @p43)) % 111.16/111.43 (step @p45 :rule trans :premises (@p44 @p38)) % 111.16/111.43 (step @p46 :rule ho_cong :premises (@p27 @p45)) % 111.16/111.43 (step @p47 :rule trans :premises (@p46 @p32)) % 111.16/111.43 (step @p48 :rule cong :premises (@p47) :args (@t78)) % 111.16/111.43 (step @p49 :rule nary_cong :premises (@p48 @p16) :args (@t79)) % 111.16/111.43 (step @p50 :rule cong :premises (@p49) :args ((forall @t26 @t79))) % 111.16/111.43 (step @p51 :rule bool-impl-elim :args (@t77 @t7)) % 111.16/111.43 (step @p52 :rule cong :premises (@p51) :args ((forall @t26 (=> @t77 @t7)))) % 111.16/111.43 (step @p53 :rule trans :premises (@p52 @p50)) % 111.16/111.43 (step @p54 :rule alpha_equiv :args (@t37 (@list @t5) (@list @t67))) % 111.16/111.43 (step @p55 :rule ho_cong :premises (@p33 @p54)) % 111.16/111.43 (step @p56 :rule ho_cong :premises (@p27 @p55)) % 111.16/111.43 (step @p57 :rule cong :premises (@p56 @p13) :args (@t80)) % 111.16/111.43 (step @p58 :rule cong :premises (@p57) :args ((forall @t26 @t80))) % 111.16/111.43 (step @p59 :rule trans :premises (@p58 @p53)) % 111.16/111.43 (step @p60 :rule refl :args (@t7)) % 111.16/111.43 (step @p61 :rule beta-reduce :args ((= (_ @t81 @t1) @t39))) % 111.16/111.43 (step @p62 :rule refl :args (@t1)) % 111.16/111.43 (step @p63 :rule beta-reduce :args ((= @t82 @t81))) % 111.16/111.43 (step @p64 :rule ho_cong :premises (@p63 @p62)) % 111.16/111.43 (step @p65 :rule trans :premises (@p64 @p61)) % 111.16/111.43 (step @p66 :rule refl :args (@t6)) % 111.16/111.43 (step @p67 :rule ho_cong :premises (@p66 @p65)) % 111.16/111.43 (step @p68 :rule cong :premises (@p67 @p60) :args (@t84)) % 111.16/111.43 (step @p69 :rule cong :premises (@p68) :args (@t85)) % 111.16/111.43 (step @p70 :rule trans :premises (@p69 @p59)) % 111.16/111.43 (step @p71 :rule refl :args (tptp.binintersectEL)) % 111.16/111.43 (step @p72 :rule cong :premises (@p71 @p70) :args ((= tptp.binintersectEL @t85))) % 111.16/111.43 (step @p73 :rule refl :args (@t4)) % 111.16/111.43 (step @p74 :rule ho_cong :premises (@p6 @p73)) % 111.16/111.43 (step @p75 :rule ho_cong :premises (@p74 @p62)) % 111.16/111.43 (step @p76 :rule ho_cong :premises (@p66 @p75)) % 111.16/111.43 (step @p77 :rule cong :premises (@p76 @p60) :args (@t25)) % 111.16/111.43 (step @p78 :rule cong :premises (@p77) :args (@t27)) % 111.16/111.43 (step @p79 :rule cong :premises (@p71 @p78) :args (@t28)) % 111.16/111.43 (step @p80 :rule trans :premises (@p79 @p72)) % 111.16/111.43 (step @p81 :rule eq_resolve :premises (@p3 @p80)) % 111.16/111.43 (step @p82 :rule cong :premises (@p81 @p11) :args (@t86)) % 111.16/111.43 (step @p83 :rule refl :args (@t58)) % 111.16/111.43 (step @p84 :rule refl :args (@t17)) % 111.16/111.43 (step @p85 :rule cong :premises (@p84 @p83) :args ((= @t17 @t58))) % 111.16/111.43 (step @p86 :rule symm :premises (@p85)) % 111.16/111.43 (step @p87 :rule eq_resolve :premises (@p84 @p86)) % 111.16/111.43 (step @p88 :rule refl :args (@t61)) % 111.16/111.43 (step @p89 :rule nary_cong :premises (@p88 @p87) :args (@t87)) % 111.16/111.43 (step @p90 :rule cong :premises (@p89) :args ((forall @t14 @t87))) % 111.16/111.43 (step @p91 :rule bool-impl-elim :args (@t60 @t17)) % 111.16/111.43 (step @p92 :rule cong :premises (@p91) :args ((forall @t14 (=> @t60 @t17)))) % 111.16/111.43 (step @p93 :rule trans :premises (@p92 @p90)) % 111.16/111.43 (step @p94 :rule refl :args (@t17)) % 111.16/111.43 (step @p95 :rule refl :args (@t59)) % 111.16/111.43 (step @p96 :rule refl :args (@t18)) % 111.16/111.43 (step @p97 :rule cong :premises (@p96 @p95) :args ((= @t18 @t59))) % 111.16/111.43 (step @p98 :rule symm :premises (@p97)) % 111.16/111.43 (step @p99 :rule eq_resolve :premises (@p96 @p98)) % 111.16/111.43 (step @p100 :rule cong :premises (@p16) :args (@t88)) % 111.16/111.43 (step @p101 :rule nary_cong :premises (@p100 @p99) :args (@t89)) % 111.16/111.43 (step @p102 :rule cong :premises (@p101) :args ((forall @t19 @t89))) % 111.16/111.43 (step @p103 :rule bool-impl-elim :args (@t7 @t18)) % 111.16/111.43 (step @p104 :rule cong :premises (@p103) :args (@t20)) % 111.16/111.43 (step @p105 :rule trans :premises (@p104 @p102)) % 111.16/111.43 (step @p106 :rule cong :premises (@p105 @p94) :args (@t21)) % 111.16/111.43 (step @p107 :rule cong :premises (@p106) :args (@t22)) % 111.16/111.43 (step @p108 :rule trans :premises (@p107 @p93)) % 111.16/111.43 (step @p109 :rule refl :args (tptp.subsetI1)) % 111.16/111.43 (step @p110 :rule cong :premises (@p109 @p108) :args (@t23)) % 111.16/111.43 (step @p111 :rule eq_resolve :premises (@p2 @p110)) % 111.16/111.43 (step @p112 :rule cong :premises (@p111 @p82) :args (@t90)) % 111.16/111.43 (step @p113 :rule bool-eq-true :args (tptp.in__Cong)) % 111.16/111.43 (step @p114 :rule symm :premises (@p113)) % 111.16/111.43 (step @p115 :rule quant-unused-vars :args ((= (forall @t92 true) true))) % 111.16/111.43 (step @p116 :rule evaluate :args ((or false true))) % 111.16/111.43 (step @p117 :rule eq-refl :args (@t93)) % 111.16/111.43 (step @p118 :rule evaluate :args ((not true))) % 111.16/111.43 (step @p119 :rule eq-refl :args (@t1)) % 111.16/111.43 (step @p120 :rule cong :premises (@p119) :args (@t94)) % 111.16/111.43 (step @p121 :rule trans :premises (@p120 @p118)) % 111.16/111.43 (step @p122 :rule nary_cong :premises (@p121 @p117) :args (@t95)) % 111.16/111.43 (step @p123 :rule trans :premises (@p122 @p116)) % 111.16/111.43 (step @p124 :rule cong :premises (@p123) :args ((forall @t92 @t95))) % 111.16/111.43 (step @p125 :rule trans :premises (@p124 @p115)) % 111.16/111.43 (step @p126 :rule quant-var-elim-eq :args ((= (forall @t99 @t98) @t95))) % 111.16/111.43 (step @p127 :rule aci_norm :args ((= @t100 @t98))) % 111.16/111.43 (step @p128 :rule cong :premises (@p127) :args (@t101)) % 111.16/111.43 (step @p129 :rule trans :premises (@p128 @p126)) % 111.16/111.43 (step @p130 :rule cong :premises (@p129) :args (@t102)) % 111.16/111.43 (step @p131 :rule quant-merge-prenex :args ((= @t102 @t103))) % 111.16/111.43 (step @p132 :rule symm :premises (@p131)) % 111.16/111.43 (step @p133 :rule quant_var_reordering :args ((= @t104 @t103))) % 111.16/111.43 (step @p134 :rule trans :premises (@p133 @p132 @p130)) % 111.16/111.43 (step @p135 :rule trans :premises (@p134 @p125)) % 111.16/111.43 (step @p136 :rule quant-merge-prenex :args ((= (forall @t14 @t106) @t104))) % 111.16/111.43 (step @p137 :rule alpha_equiv :args (@t107 (@list @t91) (@list @t2))) % 111.16/111.43 (step @p138 :rule refl :args (@t97)) % 111.16/111.43 (step @p139 :rule nary_cong :premises (@p138 @p137) :args (@t108)) % 111.16/111.43 (step @p140 :rule quant-miniscope-or :args ((= @t106 @t108))) % 111.16/111.43 (step @p141 :rule trans :premises (@p140 @p139)) % 111.16/111.43 (step @p142 :rule symm :premises (@p141)) % 111.16/111.43 (step @p143 :rule cong :premises (@p142) :args ((forall @t14 (or @t97 @t113)))) % 111.16/111.43 (step @p144 :rule trans :premises (@p143 @p136)) % 111.16/111.43 (step @p145 :rule trans :premises (@p144 @p135)) % 111.16/111.43 (step @p146 :rule bool-impl-elim :args (@t12 @t113)) % 111.16/111.43 (step @p147 :rule cong :premises (@p146) :args ((forall @t14 (=> @t12 @t113)))) % 111.16/111.43 (step @p148 :rule trans :premises (@p147 @p145)) % 111.16/111.43 (step @p149 :rule aci_norm :args ((= (or false @t111) @t111))) % 111.16/111.43 (step @p150 :rule eq-symm :args (@t109 @t110)) % 111.16/111.43 (step @p151 :rule eq-refl :args (@t2)) % 111.16/111.43 (step @p152 :rule cong :premises (@p151) :args (@t114)) % 111.16/111.43 (step @p153 :rule trans :premises (@p152 @p118)) % 111.16/111.43 (step @p154 :rule nary_cong :premises (@p153 @p150) :args (@t115)) % 111.16/111.43 (step @p155 :rule trans :premises (@p154 @p149)) % 111.16/111.43 (step @p156 :rule cong :premises (@p155) :args ((forall @t112 @t115))) % 111.16/111.43 (step @p157 :rule quant-var-elim-eq :args ((= (forall @t19 @t118) @t115))) % 111.16/111.43 (step @p158 :rule aci_norm :args ((= @t119 @t118))) % 111.16/111.43 (step @p159 :rule cong :premises (@p158) :args (@t120)) % 111.16/111.43 (step @p160 :rule trans :premises (@p159 @p157)) % 111.16/111.43 (step @p161 :rule cong :premises (@p160) :args (@t121)) % 111.16/111.43 (step @p162 :rule quant-merge-prenex :args ((= @t121 @t122))) % 111.16/111.43 (step @p163 :rule symm :premises (@p162)) % 111.16/111.43 (step @p164 :rule quant_var_reordering :args ((= (forall @t10 @t119) @t122))) % 111.16/111.43 (step @p165 :rule trans :premises (@p164 @p163 @p161)) % 111.16/111.43 (step @p166 :rule trans :premises (@p165 @p156)) % 111.16/111.43 (step @p167 :rule refl :args (@t110)) % 111.16/111.43 (step @p168 :rule refl :args (@t3)) % 111.16/111.43 (step @p169 :rule cong :premises (@p168 @p167) :args ((= @t3 @t110))) % 111.16/111.43 (step @p170 :rule symm :premises (@p169)) % 111.16/111.43 (step @p171 :rule eq_resolve :premises (@p168 @p170)) % 111.16/111.43 (step @p172 :rule cong :premises (@p16 @p171) :args (@t8)) % 111.16/111.43 (step @p173 :rule refl :args (@t117)) % 111.16/111.43 (step @p174 :rule nary_cong :premises (@p173 @p172) :args (@t123)) % 111.16/111.43 (step @p175 :rule cong :premises (@p174) :args ((forall @t10 @t123))) % 111.16/111.43 (step @p176 :rule trans :premises (@p175 @p166)) % 111.16/111.43 (step @p177 :rule bool-impl-elim :args (@t9 @t8)) % 111.16/111.43 (step @p178 :rule cong :premises (@p177) :args (@t11)) % 111.16/111.43 (step @p179 :rule trans :premises (@p178 @p176)) % 111.16/111.43 (step @p180 :rule refl :args (@t12)) % 111.16/111.43 (step @p181 :rule cong :premises (@p180 @p179) :args (@t13)) % 111.16/111.43 (step @p182 :rule cong :premises (@p181) :args (@t15)) % 111.16/111.43 (step @p183 :rule trans :premises (@p182 @p148)) % 111.16/111.43 (step @p184 :rule refl :args (tptp.in__Cong)) % 111.16/111.43 (step @p185 :rule cong :premises (@p184 @p183) :args (@t16)) % 111.16/111.43 (step @p186 :rule trans :premises (@p185 @p113)) % 111.16/111.43 (step @p187 :rule eq_resolve :premises (@p1 @p186)) % 111.16/111.43 (step @p188 :rule eq_resolve :premises (@p187 @p114)) % 111.16/111.43 (step @p189 :rule cong :premises (@p188 @p112) :args (@t124)) % 111.16/111.43 (step @p190 :rule cong :premises (@p189) :args ((not @t124))) % 111.16/111.43 (step @p191 :rule trans :premises (@p190 @p10)) % 111.16/111.43 (step @p192 :rule refl :args (@t54)) % 111.16/111.43 (step @p193 :rule refl :args (@t29)) % 111.16/111.43 (step @p194 :rule cong :premises (@p193 @p192) :args ((= @t29 @t54))) % 111.16/111.43 (step @p195 :rule symm :premises (@p194)) % 111.16/111.43 (step @p196 :rule eq_resolve :premises (@p193 @p195)) % 111.16/111.43 (step @p197 :rule refl :args ((tptp.dsetconstr @t4 @t37))) % 111.16/111.43 (step @p198 :rule cong :premises (@p95) :args (@t64)) % 111.16/111.43 (step @p199 :rule cong :premises (@p21 @p198) :args (@t65)) % 111.16/111.43 (step @p200 :rule trans :premises (@p199 @p197)) % 111.16/111.43 (step @p201 :rule ho_cong :premises (@p33 @p198)) % 111.16/111.43 (step @p202 :rule cong :premises (@p201 @p200) :args ((= (_ @t38 @t64) @t65))) % 111.16/111.43 (step @p203 :rule symm :premises (@p202)) % 111.16/111.43 (step @p204 :rule refl :args (@t39)) % 111.16/111.43 (step @p205 :rule eq_resolve :premises (@p204 @p203)) % 111.16/111.43 (step @p206 :rule cong :premises (@p99) :args (@t37)) % 111.16/111.43 (step @p207 :rule ho_cong :premises (@p33 @p206)) % 111.16/111.43 (step @p208 :rule trans :premises (@p207 @p205)) % 111.16/111.43 (step @p209 :rule refl :args (@t1)) % 111.16/111.43 (step @p210 :rule cong :premises (@p209 @p208) :args (@t125)) % 111.16/111.43 (step @p211 :rule cong :premises (@p210) :args (@t126)) % 111.16/111.43 (step @p212 :rule nary_cong :premises (@p211 @p196) :args (@t127)) % 111.16/111.43 (step @p213 :rule cong :premises (@p212) :args ((forall @t14 @t127))) % 111.16/111.43 (step @p214 :rule bool-impl-elim :args (@t125 @t29)) % 111.16/111.43 (step @p215 :rule cong :premises (@p214) :args ((forall @t14 (=> @t125 @t29)))) % 111.16/111.43 (step @p216 :rule trans :premises (@p215 @p213)) % 111.16/111.43 (step @p217 :rule refl :args (@t29)) % 111.16/111.43 (step @p218 :rule eq-symm :args (@t39 @t1)) % 111.16/111.43 (step @p219 :rule cong :premises (@p65 @p62) :args (@t128)) % 111.16/111.43 (step @p220 :rule trans :premises (@p219 @p218)) % 111.16/111.43 (step @p221 :rule cong :premises (@p220 @p217) :args (@t129)) % 111.16/111.43 (step @p222 :rule cong :premises (@p221) :args (@t130)) % 111.16/111.43 (step @p223 :rule trans :premises (@p222 @p216)) % 111.16/111.43 (step @p224 :rule cong :premises (@p71 @p223) :args (@t131)) % 111.16/111.43 (step @p225 :rule cong :premises (@p109 @p224) :args (@t132)) % 111.16/111.43 (step @p226 :rule cong :premises (@p184 @p225) :args (@t133)) % 111.16/111.43 (step @p227 :rule cong :premises (@p226) :args ((not @t133))) % 111.16/111.43 (step @p228 :rule cong :premises (@p75 @p62) :args (@t30)) % 111.16/111.43 (step @p229 :rule cong :premises (@p228 @p217) :args (@t31)) % 111.16/111.43 (step @p230 :rule cong :premises (@p229) :args (@t32)) % 111.16/111.43 (step @p231 :rule cong :premises (@p71 @p230) :args (@t33)) % 111.16/111.43 (step @p232 :rule cong :premises (@p109 @p231) :args (@t34)) % 111.16/111.43 (step @p233 :rule cong :premises (@p184 @p232) :args (@t35)) % 111.16/111.43 (step @p234 :rule cong :premises (@p233) :args (@t36)) % 111.16/111.43 (step @p235 :rule trans :premises (@p234 @p227)) % 111.16/111.43 (step @p236 :rule trans :premises (@p235 @p191 @p8 @p7)) % 111.16/111.43 (step @p237 :rule eq_resolve :premises (@p4 @p236)) % 111.16/111.43 (step @p238 :rule not_implies_elim2 :premises (@p237)) % 111.16/111.43 (step @p239 :rule not_implies_elim2 :premises (@p238)) % 111.16/111.43 (step @p240 :rule skolemize :premises (@p239)) % 111.16/111.43 (step @p241 :rule bool-double-not-elim :args (@t139)) % 111.16/111.43 (step @p242 :rule refl :args (@t142)) % 111.16/111.43 (step @p243 :rule nary_cong :premises (@p242 @p241) :args ((or @t142 (not @t141)))) % 111.16/111.43 (step @p244 :rule cnf_or_neg :args (@t142 0)) % 111.16/111.43 (step @p245 :rule eq_resolve :premises (@p244 @p243)) % 111.16/111.43 (step @p246 :rule reordering :premises (@p245) :args ((or @t139 @t142))) % 111.16/111.43 (step @p247 :rule chain_m_resolution :premises (@p246 @p240) :args (@t139 @t143 @t144)) % 111.16/111.43 (step @p248 :rule not_implies_elim1 :premises (@p237)) % 111.16/111.43 (step @p249 :rule instantiate :premises (@p248) :args ((@list @t134 @t136))) % 111.16/111.43 (step @p250 :rule cnf_or_neg :args (@t142 1)) % 111.16/111.43 (step @p251 :rule chain_m_resolution :premises (@p250 @p240) :args ((not @t140) @t143 @t144)) % 111.16/111.43 (step @p252 :rule cnf_or_pos :args (@t147)) % 111.16/111.43 (step @p253 :rule reordering :premises (@p252) :args ((or @t140 @t146 (not @t147)))) % 111.16/111.43 (step @p254 :rule chain_m_resolution :premises (@p253 @p251 @p249) :args (@t146 @t148 (@list @t140 @t147))) % 111.16/111.43 (step @p255 :rule skolemize :premises (@p254)) % 111.16/111.43 (step @p256 :rule bool-double-not-elim :args (@t151)) % 111.16/111.43 (step @p257 :rule refl :args (@t154)) % 111.16/111.43 (step @p258 :rule nary_cong :premises (@p257 @p256) :args ((or @t154 (not @t153)))) % 111.16/111.43 (step @p259 :rule cnf_or_neg :args (@t154 0)) % 111.16/111.43 (step @p260 :rule eq_resolve :premises (@p259 @p258)) % 111.16/111.43 (step @p261 :rule reordering :premises (@p260) :args ((or @t151 @t154))) % 111.16/111.43 (step @p262 :rule chain_m_resolution :premises (@p261 @p255) :args (@t151 @t143 @t155)) % 111.16/111.43 ; trust TRUST PREPROCESS_HO_ELIM_LEMMA % 111.16/111.43 (step @p263 :rule trust :premises () :args ((forall (@list @t157 @t156) (or (not (forall @t159 (= (_ @t43 @t157 @t158) (_ @t43 @t156 @t158)))) (= @t157 @t156))))) % 111.16/111.43 (step @p264 :rule instantiate :premises (@p263) :args ((@list @t135 @t160))) % 111.16/111.43 (step @p265 :rule cnf_equiv_neg2 :args (@t165)) % 111.16/111.43 (step @p266 :rule eq-symm :args (@t168 @t169)) % 111.16/111.43 (step @p267 :rule cong :premises (@p266) :args (@t171)) % 111.16/111.43 ; trust TRUST PREPROCESS_HO_ELIM % 111.16/111.43 (step @p268 :rule trust :premises () :args ((= @t172 @t171))) % 111.16/111.43 (step @p269 :rule trans :premises (@p268 @p267)) % 111.16/111.43 ; trust TRUST PREPROCESS_HO_ELIM_LEMMA % 111.16/111.43 (step @p270 :rule trust :premises () :args (@t172)) % 111.16/111.43 (step @p271 :rule eq_resolve :premises (@p270 @p269)) % 111.16/111.43 (step @p272 :rule instantiate :premises (@p271) :args (@t173)) % 111.16/111.43 (step @p273 :rule cnf_equiv_pos1 :args (@t175)) % 111.16/111.43 (step @p274 :rule reordering :premises (@p273) :args ((or @t177 @t174 @t176))) % 111.16/111.43 (step @p275 :rule eq-symm :args (@t180 @t181)) % 111.16/111.43 (step @p276 :rule cong :premises (@p275) :args (@t183)) % 111.16/111.43 ; trust TRUST PREPROCESS_HO_ELIM % 111.16/111.43 (step @p277 :rule trust :premises () :args ((= @t184 @t183))) % 111.16/111.43 (step @p278 :rule trans :premises (@p277 @p276)) % 111.16/111.43 ; trust TRUST PREPROCESS_HO_ELIM_LEMMA % 111.16/111.43 (step @p279 :rule trust :premises () :args (@t184)) % 111.16/111.43 (step @p280 :rule eq_resolve :premises (@p279 @p278)) % 111.16/111.43 (step @p281 :rule instantiate :premises (@p280) :args (@t173)) % 111.16/111.43 (step @p282 :rule cnf_equiv_pos2 :args (@t185)) % 111.16/111.43 (step @p283 :rule reordering :premises (@p282) :args ((or @t163 @t187 @t186))) % 111.16/111.43 (step @p284 :rule chain_m_resolution :premises (@p283 @p281 @p274 @p272 @p265) :args ((or @t165 @t177) (@list false false false true) (@list @t185 @t174 @t175 @t163))) % 111.16/111.43 (step @p285 :rule cnf_equiv_neg1 :args (@t165)) % 111.16/111.43 (step @p286 :rule reordering :premises (@p285) :args ((or @t164 @t163 @t165))) % 111.16/111.43 (step @p287 :rule cnf_equiv_pos2 :args (@t175)) % 111.16/111.43 (step @p288 :rule reordering :premises (@p287) :args ((or @t164 @t187 @t176))) % 111.16/111.43 (step @p289 :rule cnf_equiv_pos1 :args (@t185)) % 111.16/111.43 (step @p290 :rule reordering :premises (@p289) :args ((or (not @t163) @t174 @t186))) % 111.16/111.43 (step @p291 :rule chain_m_resolution :premises (@p290 @p281 @p288 @p272 @p286 @p284) :args (@t165 (@list false true false false true) (@list @t185 @t174 @t175 @t163 @t164))) % 111.16/111.43 (step @p292 :rule refl :args (@t188)) % 111.16/111.43 (step @p293 :rule bool-double-not-elim :args (@t161)) % 111.16/111.43 (step @p294 :rule nary_cong :premises (@p293 @p292) :args ((or (not @t189) @t188))) % 111.16/111.43 (assume-push @p352 @t189) % 111.16/111.43 (step @p296 :rule skolemize :premises (@p352)) % 111.16/111.43 (step-pop @p353 :rule scope :premises (@p296)) % 111.16/111.43 (step @p297 :rule process_scope :premises (@p353) :args (@t188)) % 111.16/111.43 (step @p299 :rule implies_elim :premises (@p297)) % 111.16/111.43 (step @p300 :rule eq_resolve :premises (@p299 @p294)) % 111.16/111.43 (step @p301 :rule chain_m_resolution :premises (@p300 @p291) :args (@t161 (@list false) (@list @t165))) % 111.16/111.43 (step @p302 :rule cnf_or_pos :args (@t191)) % 111.16/111.43 (step @p303 :rule reordering :premises (@p302) :args ((or @t189 @t190 (not @t191)))) % 111.16/111.43 (step @p304 :rule chain_m_resolution :premises (@p303 @p301 @p264) :args (@t190 (@list false false) (@list @t161 @t191))) % 111.16/111.43 (step @p305 :rule not_implies_elim1 :premises (@p238)) % 111.16/111.43 (step @p306 :rule instantiate :premises (@p305) :args ((@list @t136 @t134 @t149))) % 111.16/111.43 (step @p307 :rule cnf_or_neg :args (@t154 1)) % 111.16/111.43 (step @p308 :rule chain_m_resolution :premises (@p307 @p255) :args ((not @t152) @t143 @t155)) % 111.16/111.43 (step @p309 :rule cnf_or_pos :args (@t194)) % 111.16/111.43 (step @p310 :rule reordering :premises (@p309) :args ((or @t152 @t193 (not @t194)))) % 111.16/111.43 (step @p311 :rule chain_m_resolution :premises (@p310 @p308 @p306) :args (@t193 @t148 (@list @t152 @t194))) % 111.16/111.43 (step @p312 :rule bool-double-not-elim :args (@t192)) % 111.16/111.43 (step @p313 :rule refl :args (@t195)) % 111.16/111.43 (step @p314 :rule refl :args (@t153)) % 111.16/111.43 (step @p315 :rule refl :args (@t141)) % 111.16/111.43 (step @p316 :rule nary_cong :premises (@p315 @p314 @p313 @p312) :args ((or @t141 @t153 @t195 (not @t193)))) % 111.16/111.43 (assume-push @p354 @t193) % 111.16/111.43 (assume-push @p355 @t190) % 111.16/111.43 (assume-push @p356 @t139) % 111.16/111.43 (assume-push @p357 @t151) % 111.16/111.43 (step @p321 :rule evaluate :args ((= true false))) % 111.16/111.43 (step @p322 :rule false_intro :premises (@p311)) % 111.16/111.43 (step @p323 :rule refl :args (@t137)) % 111.16/111.43 (step @p324 :rule cong :premises (@p323 @p355) :args (@t138)) % 111.16/111.43 (step @p325 :rule trans :premises (@p247 @p324)) % 111.16/111.43 (step @p326 :rule refl :args (@t150)) % 111.16/111.43 (step @p327 :rule cong :premises (@p326 @p325) :args (@t151)) % 111.16/111.43 (step @p328 :rule true_intro :premises (@p262)) % 111.16/111.43 (step @p329 :rule symm :premises (@p328)) % 111.16/111.43 (step @p330 :rule trans :premises (@p329 @p327 @p322)) % 111.16/111.44 (step @p331 false :rule eq_resolve :premises (@p330 @p321)) % 111.16/111.44 (step-pop @p358 :rule scope :premises (@p331)) % 111.16/111.44 (step-pop @p359 :rule scope :premises (@p358)) % 111.16/111.44 (step-pop @p360 :rule scope :premises (@p359)) % 111.16/111.44 (step-pop @p361 :rule scope :premises (@p360)) % 111.16/111.44 (step @p332 :rule process_scope :premises (@p361) :args (false)) % 111.16/111.44 (assume-push @p362 @t139) % 111.16/111.44 (assume-push @p363 @t151) % 111.16/111.44 (assume-push @p364 @t190) % 111.16/111.44 (assume-push @p365 @t193) % 111.16/111.44 (step @p341 :rule and_intro :premises (@p311 @p364 @p247 @p262)) % 111.16/111.44 (step-pop @p366 :rule scope :premises (@p341)) % 111.16/111.44 (step-pop @p367 :rule scope :premises (@p366)) % 111.16/111.44 (step-pop @p368 :rule scope :premises (@p367)) % 111.16/111.44 (step-pop @p369 :rule scope :premises (@p368)) % 111.16/111.44 (step @p342 :rule process_scope :premises (@p369) :args (@t196)) % 111.16/111.44 (step @p347 :rule implies_elim :premises (@p342)) % 111.16/111.44 (step @p348 :rule resolution :premises (@p347 @p332) :args (true @t196)) % 111.16/111.44 (step @p349 :rule not_and :premises (@p348)) % 111.16/111.44 (step @p350 :rule eq_resolve :premises (@p349 @p316)) % 111.16/111.44 (step @p351 false :rule chain_m_resolution :premises (@p350 @p311 @p304 @p262 @p247) :args (false (@list true false false false) (@list @t192 @t190 @t151 @t139))) % 111.16/111.44 ) % 111.16/111.44 % SZS output end Proof % 111.16/111.44 % cvc5 exiting %------------------------------------------------------------------------------