%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU557^2 : TPTP v9.2.1. Bugfixed v5.2.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n028.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 08:52:11 AM UTC 2026 % Result : Theorem 0.38s 0.59s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU557^2 : TPTP v9.2.1. Bugfixed v5.2.0. % 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 : n028.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 17:41:50 EDT 2026 % 0.15/0.34 % CPUTime : % 0.31/0.50 %----Proving TH0 % 0.38/0.59 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.38/0.59 % SZS status Theorem % 0.38/0.59 % SZS output start Proof % 0.38/0.59 ( % 0.38/0.59 (declare-sort $$unsorted 0) % 0.38/0.59 (declare-const tptp.descrp Bool) % 0.38/0.59 (declare-const tptp.descr (-> (-> $$unsorted Bool) $$unsorted)) % 0.38/0.59 (declare-const tptp.exuEu Bool) % 0.38/0.59 (define tptp.exu () (let ((_let_1 (@var "Xy" $$unsorted))) (let ((_let_2 (@var "Xx" $$unsorted))) (let ((_let_3 (@var "Xphi" (-> $$unsorted Bool)))) (lambda (@list _let_3) (exists (@list _let_2) (and (_ _let_3 _let_2) (forall (@list _let_1) (=> (_ _let_3 _let_1) (= _let_2 _let_1)))))))))) % 0.38/0.59 (define @t1 () (@var "Xy" $$unsorted)) % 0.38/0.59 (define @t2 () (@var "Xx" $$unsorted)) % 0.38/0.59 (define @t3 () (= @t2 @t1)) % 0.38/0.59 (define @t4 () (@var "Xphi" (-> $$unsorted Bool))) % 0.38/0.59 (define @t5 () (_ @t4 @t1)) % 0.38/0.59 (define @t6 () (=> @t5 @t3)) % 0.38/0.59 (define @t7 () (_ @t4 @t2)) % 0.38/0.59 (define @t8 () (@list @t2 @t1)) % 0.38/0.59 (define @t9 () (forall @t8 (=> @t7 @t6))) % 0.38/0.59 (define @t10 () (@list @t2)) % 0.38/0.59 (define @t11 () (lambda @t10 @t7)) % 0.38/0.59 (define @t12 () (_ tptp.exu @t11)) % 0.38/0.59 (define @t13 () (=> @t12 @t9)) % 0.38/0.59 (define @t14 () (@list @t4)) % 0.38/0.59 (define @t15 () (forall @t14 @t13)) % 0.38/0.59 (define @t16 () (= tptp.exuEu @t15)) % 0.38/0.59 (define @t17 () (_ tptp.descr @t11)) % 0.38/0.59 (define @t18 () (_ @t4 @t17)) % 0.38/0.59 (define @t19 () (=> @t12 @t18)) % 0.38/0.59 (define @t20 () (forall @t14 @t19)) % 0.38/0.59 (define @t21 () (= tptp.descrp @t20)) % 0.38/0.59 (define @t22 () (@var "Xpsi" (-> $$unsorted Bool))) % 0.38/0.59 (define @t23 () (_ @t22 @t2)) % 0.38/0.59 (define @t24 () (lambda @t10 @t23)) % 0.38/0.59 (define @t25 () (_ tptp.descr @t24)) % 0.38/0.59 (define @t26 () (= @t17 @t25)) % 0.38/0.59 (define @t27 () (=> (_ tptp.exu @t24) @t26)) % 0.38/0.59 (define @t28 () (=> @t12 @t27)) % 0.38/0.59 (define @t29 () (_ @t22 @t1)) % 0.38/0.59 (define @t30 () (= @t7 @t29)) % 0.38/0.59 (define @t31 () (forall @t8 (=> @t3 @t30))) % 0.38/0.59 (define @t32 () (=> @t31 @t28)) % 0.38/0.59 (define @t33 () (@list @t4 @t22)) % 0.38/0.59 (define @t34 () (forall @t33 @t32)) % 0.38/0.59 (define @t35 () (=> tptp.exuEu @t34)) % 0.38/0.59 (define @t36 () (=> tptp.descrp @t35)) % 0.38/0.59 (define @t37 () (not @t36)) % 0.38/0.59 (define @t38 () (@list @t1)) % 0.38/0.59 (define @t39 () (forall @t38 @t6)) % 0.38/0.59 (define @t40 () (and @t7 @t39)) % 0.38/0.59 (define @t41 () (exists @t10 @t40)) % 0.38/0.59 (define @t42 () (lambda @t14 @t41)) % 0.38/0.59 (define @t43 () (@var "BOUND_VARIABLE_7657" $$unsorted)) % 0.38/0.59 (define @t44 () (_ @t22 @t1)) % 0.38/0.59 (define @t45 () (not @t44)) % 0.38/0.59 (define @t46 () (not (_ @t22 @t43))) % 0.38/0.59 (define @t47 () (@var "BOUND_VARIABLE_7648" $$unsorted)) % 0.38/0.59 (define @t48 () (_ @t4 @t1)) % 0.38/0.59 (define @t49 () (not @t48)) % 0.38/0.59 (define @t50 () (not (_ @t4 @t47))) % 0.38/0.59 (define @t51 () (tptp.descr @t4)) % 0.38/0.59 (define @t52 () (= @t51 (tptp.descr @t22))) % 0.38/0.59 (define @t53 () (= @t48 @t44)) % 0.38/0.59 (define @t54 () (forall @t38 @t53)) % 0.38/0.59 (define @t55 () (not @t54)) % 0.38/0.59 (define @t56 () (@list @t4 @t22 @t47 @t43)) % 0.38/0.59 (define @t57 () (forall @t56 (or @t55 @t52 @t50 (not (forall @t38 (or @t49 (= @t1 @t47)))) @t46 (not (forall @t38 (or @t45 (= @t1 @t43))))))) % 0.38/0.59 (define @t58 () (@var "BOUND_VARIABLE_7523" $$unsorted)) % 0.38/0.59 (define @t59 () (@var "BOUND_VARIABLE_7521" $$unsorted)) % 0.38/0.59 (define @t60 () (= @t59 @t58)) % 0.38/0.59 (define @t61 () (not (_ @t4 @t58))) % 0.38/0.59 (define @t62 () (not (_ @t4 @t59))) % 0.38/0.59 (define @t63 () (@var "BOUND_VARIABLE_7512" $$unsorted)) % 0.38/0.59 (define @t64 () (or @t49 (= @t63 @t1))) % 0.38/0.59 (define @t65 () (forall @t38 @t64)) % 0.38/0.59 (define @t66 () (not @t65)) % 0.38/0.59 (define @t67 () (not (_ @t4 @t63))) % 0.38/0.59 (define @t68 () (or @t67 @t66 @t62 @t61 @t60)) % 0.38/0.59 (define @t69 () (or @t62 @t61 @t60)) % 0.38/0.59 (define @t70 () (or @t67 @t66)) % 0.38/0.59 (define @t71 () (or @t70 @t69)) % 0.38/0.59 (define @t72 () (forall (@list @t4 @t63 @t59 @t58) @t71)) % 0.38/0.59 (define @t73 () (forall (@list @t63 @t59 @t58) @t71)) % 0.38/0.59 (define @t74 () (forall (@list @t59 @t58) @t69)) % 0.38/0.59 (define @t75 () (forall (@list @t63) @t70)) % 0.38/0.59 (define @t76 () (@list @t2)) % 0.38/0.59 (define @t77 () (or @t75 @t74)) % 0.38/0.59 (define @t78 () (_ @t4 @t2)) % 0.38/0.59 (define @t79 () (not @t78)) % 0.38/0.59 (define @t80 () (forall @t8 (or @t79 @t49 @t3))) % 0.38/0.59 (define @t81 () (forall @t38 (or @t49 @t3))) % 0.38/0.59 (define @t82 () (not @t81)) % 0.38/0.59 (define @t83 () (forall @t10 (or @t79 @t82))) % 0.38/0.59 (define @t84 () (not @t83)) % 0.38/0.59 (define @t85 () (not @t84)) % 0.38/0.59 (define @t86 () (not @t5)) % 0.38/0.59 (define @t87 () (not @t7)) % 0.38/0.59 (define @t88 () (or @t87 @t86 @t3)) % 0.38/0.59 (define @t89 () (or @t86 @t3)) % 0.38/0.59 (define @t90 () (or @t87 @t82)) % 0.38/0.59 (define @t91 () (_ @t11 @t1)) % 0.38/0.59 (define @t92 () (not @t91)) % 0.38/0.59 (define @t93 () (or @t92 @t3)) % 0.38/0.59 (define @t94 () (forall @t38 @t93)) % 0.38/0.59 (define @t95 () (not @t94)) % 0.38/0.59 (define @t96 () (_ @t11 @t2)) % 0.38/0.59 (define @t97 () (not @t96)) % 0.38/0.59 (define @t98 () (or @t97 @t95)) % 0.38/0.59 (define @t99 () (forall @t10 @t98)) % 0.38/0.59 (define @t100 () (not @t99)) % 0.38/0.59 (define @t101 () (lambda @t14 @t84)) % 0.38/0.59 (define @t102 () (_ @t101 @t11)) % 0.38/0.59 (define @t103 () (=> @t102 @t9)) % 0.38/0.59 (define @t104 () (forall @t14 @t103)) % 0.38/0.59 (define @t105 () (and @t7 @t81)) % 0.38/0.59 (define @t106 () (forall @t10 (not @t105))) % 0.38/0.59 (define @t107 () (not @t106)) % 0.38/0.59 (define @t108 () (=> tptp.exuEu @t57)) % 0.38/0.59 (define @t109 () (@var "BOUND_VARIABLE_7561" $$unsorted)) % 0.38/0.59 (define @t110 () (or @t49 (= @t109 @t1))) % 0.38/0.59 (define @t111 () (forall @t38 @t110)) % 0.38/0.59 (define @t112 () (not @t111)) % 0.38/0.59 (define @t113 () (not (_ @t4 @t109))) % 0.38/0.59 (define @t114 () (_ @t4 @t51)) % 0.38/0.59 (define @t115 () (or @t114 @t113 @t112)) % 0.38/0.59 (define @t116 () (or @t113 @t112)) % 0.38/0.59 (define @t117 () (or @t116 @t114)) % 0.38/0.59 (define @t118 () (forall (@list @t4 @t109) @t117)) % 0.38/0.59 (define @t119 () (@list @t109)) % 0.38/0.59 (define @t120 () (forall @t119 @t117)) % 0.38/0.59 (define @t121 () (forall @t119 @t116)) % 0.38/0.59 (define @t122 () (or @t121 @t114)) % 0.38/0.59 (define @t123 () (lambda @t10 @t78)) % 0.38/0.59 (define @t124 () (tptp.descr @t123)) % 0.38/0.59 (define @t125 () (_ @t4 @t124)) % 0.38/0.59 (define @t126 () (or @t83 @t125)) % 0.38/0.59 (define @t127 () (or @t83 @t18)) % 0.38/0.59 (define @t128 () (=> @t102 @t18)) % 0.38/0.59 (define @t129 () (forall @t14 @t128)) % 0.38/0.59 (define @t130 () (=> tptp.descrp @t108)) % 0.38/0.59 (define @t131 () (or @t45 (= @t43 @t1))) % 0.38/0.59 (define @t132 () (forall @t38 @t131)) % 0.38/0.59 (define @t133 () (not @t132)) % 0.38/0.59 (define @t134 () (or @t49 (= @t47 @t1))) % 0.38/0.59 (define @t135 () (forall @t38 @t134)) % 0.38/0.59 (define @t136 () (not @t135)) % 0.38/0.59 (define @t137 () (or @t55 @t52 @t50 @t136 @t46 @t133)) % 0.38/0.59 (define @t138 () (or @t46 @t133)) % 0.38/0.59 (define @t139 () (or @t50 @t136)) % 0.38/0.59 (define @t140 () (or @t55 @t139 @t138 @t52)) % 0.38/0.59 (define @t141 () (forall @t56 @t140)) % 0.38/0.59 (define @t142 () (forall (@list @t47 @t43) @t140)) % 0.38/0.59 (define @t143 () (forall (@list @t43) @t138)) % 0.38/0.59 (define @t144 () (forall (@list @t47) @t139)) % 0.38/0.59 (define @t145 () (or @t55 @t144 @t143 @t52)) % 0.38/0.59 (define @t146 () (not (forall @t38 (or @t45 @t3)))) % 0.38/0.59 (define @t147 () (_ @t22 @t2)) % 0.38/0.59 (define @t148 () (forall @t10 (or (not @t147) @t146))) % 0.38/0.59 (define @t149 () (lambda @t10 @t147)) % 0.38/0.59 (define @t150 () (tptp.descr @t149)) % 0.38/0.59 (define @t151 () (= @t124 @t150)) % 0.38/0.59 (define @t152 () (or @t55 @t83 @t148 @t151)) % 0.38/0.59 (define @t153 () (or @t55 @t83 @t148 @t26)) % 0.38/0.59 (define @t154 () (or @t83 @t148 @t26)) % 0.38/0.59 (define @t155 () (not @t148)) % 0.38/0.59 (define @t156 () (=> @t155 @t26)) % 0.38/0.59 (define @t157 () (=> @t84 @t156)) % 0.38/0.59 (define @t158 () (not @t23)) % 0.38/0.59 (define @t159 () (or @t158 @t146)) % 0.38/0.59 (define @t160 () (not @t29)) % 0.38/0.59 (define @t161 () (or @t160 @t3)) % 0.38/0.59 (define @t162 () (_ @t24 @t1)) % 0.38/0.59 (define @t163 () (not @t162)) % 0.38/0.59 (define @t164 () (or @t163 @t3)) % 0.38/0.59 (define @t165 () (forall @t38 @t164)) % 0.38/0.59 (define @t166 () (not @t165)) % 0.38/0.59 (define @t167 () (_ @t24 @t2)) % 0.38/0.59 (define @t168 () (not @t167)) % 0.38/0.59 (define @t169 () (or @t168 @t166)) % 0.38/0.59 (define @t170 () (forall @t10 @t169)) % 0.38/0.59 (define @t171 () (not @t170)) % 0.38/0.59 (define @t172 () (_ @t101 @t24)) % 0.38/0.59 (define @t173 () (=> @t172 @t26)) % 0.38/0.59 (define @t174 () (=> @t102 @t173)) % 0.38/0.59 (define @t175 () (not (= @t1 @t1))) % 0.38/0.59 (define @t176 () (or @t175 @t53)) % 0.38/0.59 (define @t177 () (= @t78 @t44)) % 0.38/0.59 (define @t178 () (not @t3)) % 0.38/0.59 (define @t179 () (or @t178 @t178 @t177)) % 0.38/0.59 (define @t180 () (or @t178 @t177)) % 0.38/0.59 (define @t181 () (forall @t10 @t180)) % 0.38/0.59 (define @t182 () (forall @t38 @t181)) % 0.38/0.59 (define @t183 () (forall (@list @t1 @t2) @t180)) % 0.38/0.59 (define @t184 () (or @t178 @t30)) % 0.38/0.59 (define @t185 () (=> @t31 @t174)) % 0.38/0.59 (define @t186 () (forall @t33 @t185)) % 0.38/0.59 (define @t187 () (=> tptp.exuEu @t186)) % 0.38/0.59 (define @t188 () (=> tptp.descrp @t187)) % 0.38/0.59 (define @t189 () (@quantifiers_skolemize @t57 1)) % 0.38/0.59 (define @t190 () (_ @t189 @t1)) % 0.38/0.59 (define @t191 () (@quantifiers_skolemize @t57 0)) % 0.38/0.59 (define @t192 () (_ @t191 @t1)) % 0.38/0.59 (define @t193 () (forall @t38 (= @t192 @t190))) % 0.38/0.59 (define @t194 () (@quantifiers_skolemize @t57 3)) % 0.38/0.59 (define @t195 () (@quantifiers_skolemize @t57 2)) % 0.38/0.59 (define @t196 () (tptp.descr @t191)) % 0.38/0.59 (define @t197 () (= @t196 (tptp.descr @t189))) % 0.38/0.59 (define @t198 () (not @t193)) % 0.38/0.59 (define @t199 () (or @t198 @t197 (not (_ @t191 @t195)) (not (forall @t38 (or (not @t192) (= @t1 @t195)))) (not (_ @t189 @t194)) (not (forall @t38 (or (not @t190) (= @t1 @t194)))))) % 0.38/0.59 (define @t200 () (@list true)) % 0.38/0.59 (define @t201 () (@list @t199)) % 0.38/0.59 (define @t202 () (= @t191 @t189)) % 0.38/0.59 (define @t203 () (not @t202)) % 0.38/0.59 (define @t204 () (@const 0 $$unsorted)) % 0.38/0.59 (define @t205 () (= (_ @t191 @t204) (_ @t189 @t204))) % 0.38/0.59 (define @t206 () (not @t205)) % 0.38/0.59 (assume @p1 @t16) % 0.38/0.59 (assume @p2 @t21) % 0.38/0.59 (assume @p3 @t37) % 0.38/0.59 (assume @p4 true) % 0.38/0.59 (step @p5 (= tptp.exu @t42) :rule refl :args (@t42)) % 0.38/0.59 (step @p6 :rule refl :args (@t57)) % 0.38/0.59 (step @p7 :rule refl :args (@t60)) % 0.38/0.59 (step @p8 :rule refl :args (@t61)) % 0.38/0.59 (step @p9 :rule refl :args (@t62)) % 0.38/0.59 (step @p10 :rule eq-symm :args (@t63 @t1)) % 0.38/0.59 (step @p11 :rule refl :args (@t49)) % 0.38/0.59 (step @p12 :rule nary_cong :premises (@p11 @p10) :args (@t64)) % 0.38/0.59 (step @p13 :rule cong :premises (@p12) :args (@t65)) % 0.38/0.59 (step @p14 :rule cong :premises (@p13) :args (@t66)) % 0.38/0.59 (step @p15 :rule refl :args (@t67)) % 0.38/0.59 (step @p16 :rule nary_cong :premises (@p15 @p14 @p9 @p8 @p7) :args (@t68)) % 0.38/0.59 (step @p17 :rule aci_norm :args ((= @t71 @t68))) % 0.38/0.59 (step @p18 :rule trans :premises (@p17 @p16)) % 0.38/0.59 (step @p19 :rule cong :premises (@p18) :args (@t72)) % 0.38/0.59 (step @p20 :rule quant-merge-prenex :args ((= (forall @t14 @t73) @t72))) % 0.38/0.59 (step @p21 :rule alpha_equiv :args (@t74 (@list @t59 @t58) (@list @t2 @t1))) % 0.38/0.59 (step @p22 :rule alpha_equiv :args (@t75 (@list @t63) @t76)) % 0.38/0.59 (step @p23 :rule nary_cong :premises (@p22 @p21) :args (@t77)) % 0.38/0.59 (step @p24 :rule quant-miniscope-or :args ((= @t73 @t77))) % 0.38/0.59 (step @p25 :rule trans :premises (@p24 @p23)) % 0.38/0.59 (step @p26 :rule symm :premises (@p25)) % 0.38/0.59 (step @p27 :rule cong :premises (@p26) :args ((forall @t14 (or @t83 @t80)))) % 0.38/0.59 (step @p28 :rule trans :premises (@p27 @p20)) % 0.38/0.59 (step @p29 :rule trans :premises (@p28 @p19)) % 0.38/0.59 (step @p30 :rule refl :args (@t80)) % 0.38/0.59 (step @p31 :rule bool-double-not-elim :args (@t83)) % 0.38/0.59 (step @p32 :rule nary_cong :premises (@p31 @p30) :args ((or @t85 @t80))) % 0.38/0.59 (step @p33 :rule bool-impl-elim :args (@t84 @t80)) % 0.38/0.59 (step @p34 :rule trans :premises (@p33 @p32)) % 0.38/0.59 (step @p35 :rule cong :premises (@p34) :args ((forall @t14 (=> @t84 @t80)))) % 0.38/0.59 (step @p36 :rule trans :premises (@p35 @p29)) % 0.38/0.59 (step @p37 :rule refl :args (@t3)) % 0.38/0.59 (step @p38 :rule refl :args (@t48)) % 0.38/0.59 (step @p39 :rule refl :args (@t5)) % 0.38/0.59 (step @p40 :rule cong :premises (@p39 @p38) :args ((= @t5 @t48))) % 0.38/0.59 (step 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(@p281) :args (@t170)) % 0.38/0.59 (step @p283 :rule trans :premises (@p282 @p264)) % 0.38/0.59 (step @p284 :rule cong :premises (@p283) :args (@t171)) % 0.38/0.59 (step @p285 :rule beta-reduce :args ((= @t172 @t171))) % 0.38/0.59 (step @p286 :rule trans :premises (@p285 @p284)) % 0.38/0.59 (step @p287 :rule cong :premises (@p286 @p260) :args (@t173)) % 0.38/0.59 (step @p288 :rule cong :premises (@p80 @p287) :args (@t174)) % 0.38/0.59 (step @p289 :rule aci_norm :args ((= (or false @t53) @t53))) % 0.38/0.59 (step @p290 :rule refl :args (@t53)) % 0.38/0.59 (step @p291 :rule evaluate :args ((not true))) % 0.38/0.59 (step @p292 :rule eq-refl :args (@t1)) % 0.38/0.59 (step @p293 :rule cong :premises (@p292) :args (@t175)) % 0.38/0.59 (step @p294 :rule trans :premises (@p293 @p291)) % 0.38/0.59 (step @p295 :rule nary_cong :premises (@p294 @p290) :args (@t176)) % 0.38/0.59 (step @p296 :rule trans :premises (@p295 @p289)) % 0.38/0.59 (step @p297 :rule cong :premises (@p296) :args ((forall @t38 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(step @p312 :rule trans :premises (@p311 @p307)) % 0.38/0.60 (step @p313 :rule bool-impl-elim :args (@t3 @t30)) % 0.38/0.60 (step @p314 :rule cong :premises (@p313) :args (@t31)) % 0.38/0.60 (step @p315 :rule trans :premises (@p314 @p312)) % 0.38/0.60 (step @p316 :rule cong :premises (@p315 @p288) :args (@t185)) % 0.38/0.60 (step @p317 :rule cong :premises (@p316) :args (@t186)) % 0.38/0.60 (step @p318 :rule trans :premises (@p317 @p259)) % 0.38/0.60 (step @p319 :rule cong :premises (@p84 @p318) :args (@t187)) % 0.38/0.60 (step @p320 :rule cong :premises (@p173 @p319) :args (@t188)) % 0.38/0.60 (step @p321 :rule cong :premises (@p320) :args ((not @t188))) % 0.38/0.60 (step @p322 :rule refl :args (@t24)) % 0.38/0.60 (step @p323 :rule ho_cong :premises (@p101 @p322)) % 0.38/0.60 (step @p324 :rule cong :premises (@p323 @p260) :args (@t27)) % 0.38/0.60 (step @p325 :rule cong :premises (@p102 @p324) :args (@t28)) % 0.38/0.60 (step @p326 :rule refl :args (@t31)) % 0.38/0.60 (step @p327 :rule cong :premises (@p326 @p325) :args (@t32)) % 0.38/0.60 (step @p328 :rule cong :premises (@p327) :args (@t34)) % 0.38/0.60 (step @p329 :rule cong :premises (@p84 @p328) :args (@t35)) % 0.38/0.60 (step @p330 :rule cong :premises (@p173 @p329) :args (@t36)) % 0.38/0.60 (step @p331 :rule cong :premises (@p330) :args (@t37)) % 0.38/0.60 (step @p332 :rule trans :premises (@p331 @p321)) % 0.38/0.60 (step @p333 :rule trans :premises (@p332 @p181)) % 0.38/0.60 (step @p334 :rule eq_resolve :premises (@p3 @p333)) % 0.38/0.60 (step @p335 :rule not_implies_elim2 :premises (@p334)) % 0.38/0.60 (step @p336 :rule not_implies_elim2 :premises (@p335)) % 0.38/0.60 (step @p337 :rule skolemize :premises (@p336)) % 0.38/0.60 (step @p338 :rule bool-double-not-elim :args (@t193)) % 0.38/0.60 (step @p339 :rule refl :args (@t199)) % 0.38/0.60 (step @p340 :rule nary_cong :premises (@p339 @p338) :args ((or @t199 (not @t198)))) % 0.38/0.60 (step @p341 :rule cnf_or_neg :args (@t199 0)) % 0.38/0.60 (step @p342 :rule eq_resolve :premises (@p341 @p340)) % 0.38/0.60 (step @p343 :rule reordering :premises (@p342) :args ((or @t193 @t199))) % 0.38/0.60 (step @p344 :rule chain_m_resolution :premises (@p343 @p337) :args (@t193 @t200 @t201)) % 0.38/0.60 (step @p345 :rule cnf_or_neg :args (@t199 1)) % 0.38/0.60 (step @p346 :rule chain_m_resolution :premises (@p345 @p337) :args ((not @t197) @t200 @t201)) % 0.38/0.60 (assume-push @p366 @t202) % 0.38/0.60 (assume-push @p367 @t202) % 0.38/0.60 (step @p349 :rule cong :premises (@p366) :args (@t196)) % 0.38/0.60 (step-pop @p368 :rule scope :premises (@p349)) % 0.38/0.60 (step @p350 :rule process_scope :premises (@p368) :args (@t197)) % 0.38/0.60 (step @p352 :rule modus_ponens :premises (@p366 @p350)) % 0.38/0.60 (step-pop @p369 :rule scope :premises (@p352)) % 0.38/0.60 (step @p353 :rule process_scope :premises (@p369) :args (@t197)) % 0.38/0.60 (step @p355 :rule implies_elim :premises (@p353)) % 0.38/0.60 (step @p356 :rule reordering :premises (@p355) :args ((or @t197 @t203))) % 0.38/0.60 (step @p357 :rule chain_m_resolution :premises (@p356 @p346) :args (@t203 @t200 (@list @t197))) % 0.38/0.60 ; WARNING: add trust step for TRUST % 0.38/0.60 ; trust TRUST THEORY_LEMMA % 0.38/0.60 (step @p358 :rule trust :premises () :args ((or @t202 @t206))) % 0.38/0.60 (step @p359 :rule chain_m_resolution :premises (@p358 @p357) :args (@t206 @t200 (@list @t202))) % 0.38/0.60 (assume-push @p370 @t193) % 0.38/0.60 (step @p361 :rule instantiate :premises (@p344) :args ((@list @t204))) % 0.38/0.60 (step-pop @p371 :rule scope :premises (@p361)) % 0.38/0.60 (step @p362 :rule process_scope :premises (@p371) :args (@t205)) % 0.38/0.60 (step @p364 :rule implies_elim :premises (@p362)) % 0.38/0.60 (step @p365 false :rule chain_m_resolution :premises (@p364 @p359 @p344) :args (false (@list true false) (@list @t205 @t193))) % 0.38/0.60 ) % 0.38/0.60 % SZS output end Proof % 0.38/0.60 % cvc5 exiting %------------------------------------------------------------------------------