%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU903^5 : TPTP v9.2.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n006.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 08:53:30 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 : SEU903^5 : TPTP v9.2.1. Released v4.0.0. % 0.13/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.18/0.34 % Computer : n006.cluster.edu % 0.18/0.34 % Model : x86_64 x86_64 % 0.18/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.34 % Memory : 8042.1875MB % 0.18/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.34 % CPULimit : 300 % 0.18/0.34 % WCLimit : 300 % 0.18/0.34 % DateTime : Tue Jun 2 17:58:19 EDT 2026 % 0.18/0.34 % CPUTime : % 0.30/0.49 %----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 tptp.b 0) % 0.38/0.59 (declare-sort tptp.a 0) % 0.38/0.59 (declare-sort tptp.g 0) % 0.38/0.59 (define @t1 () (@var "Xx" tptp.g)) % 0.38/0.59 (define @t2 () (@var "Xh1" (-> tptp.g tptp.b))) % 0.38/0.59 (define @t3 () (_ @t2 @t1)) % 0.38/0.59 (define @t4 () (@var "Xh2" (-> tptp.b tptp.a))) % 0.38/0.59 (define @t5 () (_ @t4 @t3)) % 0.38/0.59 (define @t6 () (@var "Xf3" (-> tptp.a tptp.a))) % 0.38/0.59 (define @t7 () (_ @t6 @t5)) % 0.38/0.59 (define @t8 () (@var "Xf1" (-> tptp.g tptp.g))) % 0.38/0.59 (define @t9 () (_ @t8 @t1)) % 0.38/0.59 (define @t10 () (_ @t2 @t9)) % 0.38/0.59 (define @t11 () (_ @t4 @t10)) % 0.38/0.59 (define @t12 () (= @t11 @t7)) % 0.38/0.59 (define @t13 () (@var "Xs1" (-> tptp.g Bool))) % 0.38/0.59 (define @t14 () (_ @t13 @t1)) % 0.38/0.59 (define @t15 () (@list @t1)) % 0.38/0.59 (define @t16 () (forall @t15 (=> @t14 @t12))) % 0.38/0.59 (define @t17 () (@var "Xs3" (-> tptp.a Bool))) % 0.38/0.59 (define @t18 () (_ @t17 @t5)) % 0.38/0.59 (define @t19 () (forall @t15 (=> @t14 @t18))) % 0.38/0.59 (define @t20 () (@var "Xx" tptp.a)) % 0.38/0.59 (define @t21 () (_ @t6 @t20)) % 0.38/0.59 (define @t22 () (_ @t17 @t21)) % 0.38/0.59 (define @t23 () (_ @t17 @t20)) % 0.38/0.59 (define @t24 () (@list @t20)) % 0.38/0.59 (define @t25 () (forall @t24 (=> @t23 @t22))) % 0.38/0.59 (define @t26 () (_ @t13 @t9)) % 0.38/0.59 (define @t27 () (forall @t15 (=> @t14 @t26))) % 0.38/0.59 (define @t28 () (and @t27 @t25 @t19 @t16)) % 0.38/0.59 (define @t29 () (@var "Xx" tptp.b)) % 0.38/0.59 (define @t30 () (_ @t4 @t29)) % 0.38/0.59 (define @t31 () (_ @t6 @t30)) % 0.38/0.59 (define @t32 () (@var "Xf2" (-> tptp.b tptp.b))) % 0.38/0.59 (define @t33 () (_ @t32 @t29)) % 0.38/0.59 (define @t34 () (_ @t4 @t33)) % 0.38/0.59 (define @t35 () (= @t34 @t31)) % 0.38/0.59 (define @t36 () (@var "Xs2" (-> tptp.b Bool))) % 0.38/0.59 (define @t37 () (_ @t36 @t29)) % 0.38/0.59 (define @t38 () (@list @t29)) % 0.38/0.59 (define @t39 () (forall @t38 (=> @t37 @t35))) % 0.38/0.59 (define @t40 () (_ @t17 @t30)) % 0.38/0.59 (define @t41 () (forall @t38 (=> @t37 @t40))) % 0.38/0.59 (define @t42 () (_ @t36 @t33)) % 0.38/0.59 (define @t43 () (forall @t38 (=> @t37 @t42))) % 0.38/0.59 (define @t44 () (_ @t32 @t3)) % 0.38/0.59 (define @t45 () (= @t10 @t44)) % 0.38/0.59 (define @t46 () (forall @t15 (=> @t14 @t45))) % 0.38/0.59 (define @t47 () (_ @t36 @t3)) % 0.38/0.59 (define @t48 () (forall @t15 (=> @t14 @t47))) % 0.38/0.59 (define @t49 () (and @t27 @t43 @t48 @t46 @t43 @t25 @t41 @t39)) % 0.38/0.59 (define @t50 () (=> @t49 @t28)) % 0.38/0.59 (define @t51 () (@list @t2 @t4 @t13 @t8 @t36 @t32 @t17 @t6)) % 0.38/0.59 (define @t52 () (forall @t51 @t50)) % 0.38/0.59 (define @t53 () (not @t52)) % 0.38/0.59 (define @t54 () (@var "BOUND_VARIABLE_7595" tptp.g)) % 0.38/0.59 (define @t55 () (or (not (_ @t13 @t54)) (= (_ @t4 (_ @t2 (_ @t8 @t54))) (_ @t6 (_ @t4 (_ @t2 @t54)))))) % 0.38/0.59 (define @t56 () (@var "BOUND_VARIABLE_7587" tptp.g)) % 0.38/0.59 (define @t57 () (or (not (_ @t13 @t56)) (_ @t17 (_ @t4 (_ @t2 @t56))))) % 0.38/0.59 (define @t58 () (@var "BOUND_VARIABLE_7580" tptp.a)) % 0.38/0.59 (define @t59 () (or (not (_ @t17 @t58)) (_ @t17 (_ @t6 @t58)))) % 0.38/0.59 (define @t60 () (@var "BOUND_VARIABLE_7573" tptp.g)) % 0.38/0.59 (define @t61 () (or (not (_ @t13 @t60)) (_ @t13 (_ @t8 @t60)))) % 0.38/0.59 (define @t62 () (and @t61 @t59 @t57 @t55)) % 0.38/0.59 (define @t63 () (_ @t4 @t29)) % 0.38/0.59 (define @t64 () (_ @t6 @t63)) % 0.38/0.59 (define @t65 () (_ @t32 @t29)) % 0.38/0.59 (define @t66 () (_ @t4 @t65)) % 0.38/0.59 (define @t67 () (_ @t36 @t29)) % 0.38/0.59 (define @t68 () (not @t67)) % 0.38/0.59 (define @t69 () (forall @t38 (or @t68 (= @t66 @t64)))) % 0.38/0.59 (define @t70 () (not @t69)) % 0.38/0.59 (define @t71 () (_ @t17 @t63)) % 0.38/0.59 (define @t72 () (forall @t38 (or @t68 @t71))) % 0.38/0.59 (define @t73 () (not @t72)) % 0.38/0.59 (define @t74 () (_ @t6 @t20)) % 0.38/0.59 (define @t75 () (_ @t17 @t74)) % 0.38/0.59 (define @t76 () (_ @t17 @t20)) % 0.38/0.59 (define @t77 () (forall @t24 (or (not @t76) @t75))) % 0.38/0.59 (define @t78 () (not @t77)) % 0.38/0.59 (define @t79 () (_ @t2 @t1)) % 0.38/0.59 (define @t80 () (_ @t32 @t79)) % 0.38/0.59 (define @t81 () (_ @t8 @t1)) % 0.38/0.59 (define @t82 () (_ @t2 @t81)) % 0.38/0.59 (define @t83 () (_ @t13 @t1)) % 0.38/0.59 (define @t84 () (not @t83)) % 0.38/0.59 (define @t85 () (forall @t15 (or @t84 (= @t82 @t80)))) % 0.38/0.59 (define @t86 () (not @t85)) % 0.38/0.59 (define @t87 () (_ @t36 @t79)) % 0.38/0.59 (define @t88 () (forall @t15 (or @t84 @t87))) % 0.38/0.59 (define @t89 () (not @t88)) % 0.38/0.59 (define @t90 () (_ @t36 @t65)) % 0.38/0.59 (define @t91 () (forall @t38 (or @t68 @t90))) % 0.38/0.59 (define @t92 () (not @t91)) % 0.38/0.59 (define @t93 () (_ @t13 @t81)) % 0.38/0.59 (define @t94 () (forall @t15 (or @t84 @t93))) % 0.38/0.59 (define @t95 () (not @t94)) % 0.38/0.59 (define @t96 () (or @t95 @t92 @t89 @t86 @t78 @t73 @t70 @t62)) % 0.38/0.59 (define @t97 () (forall (@list @t2 @t4 @t13 @t8 @t36 @t32 @t17 @t6 @t60 @t58 @t56 @t54) @t96)) % 0.38/0.59 (define @t98 () (@list @t60 @t58 @t56 @t54)) % 0.38/0.59 (define @t99 () (forall @t98 @t96)) % 0.38/0.59 (define @t100 () (forall (@list @t54) @t55)) % 0.38/0.59 (define @t101 () (@list @t1)) % 0.38/0.59 (define @t102 () (forall @t98 @t55)) % 0.38/0.59 (define @t103 () (forall (@list @t56) @t57)) % 0.38/0.59 (define @t104 () (forall @t98 @t57)) % 0.38/0.59 (define @t105 () (forall (@list @t58) @t59)) % 0.38/0.59 (define @t106 () (forall @t98 @t59)) % 0.38/0.59 (define @t107 () (forall (@list @t60) @t61)) % 0.38/0.59 (define @t108 () (forall @t98 @t61)) % 0.38/0.59 (define @t109 () (and @t108 @t106 @t104 @t102)) % 0.38/0.59 (define @t110 () (forall @t98 @t62)) % 0.38/0.59 (define @t111 () (or @t95 @t92 @t89 @t86 @t78 @t73 @t70 @t110)) % 0.38/0.59 (define @t112 () (_ @t4 @t79)) % 0.38/0.59 (define @t113 () (_ @t6 @t112)) % 0.38/0.59 (define @t114 () (_ @t4 @t82)) % 0.38/0.59 (define @t115 () (_ @t17 @t112)) % 0.38/0.59 (define @t116 () (and @t94 @t77 (forall @t15 (or @t84 @t115)) (forall @t15 (or @t84 (= @t114 @t113))))) % 0.38/0.59 (define @t117 () (or @t95 @t92 @t89 @t86 @t78 @t73 @t70 @t116)) % 0.38/0.59 (define @t118 () (or @t95 @t92 @t89 @t86 @t78 @t73 @t70)) % 0.38/0.59 (define @t119 () (or @t95 @t92 @t89 @t86 @t92 @t78 @t73 @t70)) % 0.38/0.59 (define @t120 () (and @t94 @t91 @t88 @t85 @t91 @t77 @t72 @t69)) % 0.38/0.59 (define @t121 () (not @t14)) % 0.38/0.59 (define @t122 () (or @t121 @t12)) % 0.38/0.59 (define @t123 () (or @t121 @t18)) % 0.38/0.59 (define @t124 () (not @t23)) % 0.38/0.59 (define @t125 () (or @t124 @t22)) % 0.38/0.59 (define @t126 () (or @t121 @t26)) % 0.38/0.59 (define @t127 () (not @t37)) % 0.38/0.59 (define @t128 () (or @t127 @t35)) % 0.38/0.59 (define @t129 () (or @t127 @t40)) % 0.38/0.59 (define @t130 () (or @t127 @t42)) % 0.38/0.59 (define @t131 () (or @t121 @t45)) % 0.38/0.59 (define @t132 () (or @t121 @t47)) % 0.38/0.59 (define @t133 () (@quantifiers_skolemize @t97 1)) % 0.38/0.59 (define @t134 () (_ @t133 @t29)) % 0.38/0.59 (define @t135 () (@quantifiers_skolemize @t97 6)) % 0.38/0.59 (define @t136 () (@quantifiers_skolemize @t97 4)) % 0.38/0.59 (define @t137 () (not (_ @t136 @t29))) % 0.38/0.59 (define @t138 () (forall @t38 (or @t137 (_ @t135 @t134)))) % 0.38/0.59 (define @t139 () (@quantifiers_skolemize @t97 11)) % 0.38/0.59 (define @t140 () (@quantifiers_skolemize @t97 0)) % 0.38/0.59 (define @t141 () (_ @t140 @t139)) % 0.38/0.59 (define @t142 () (@quantifiers_skolemize @t97 7)) % 0.38/0.59 (define @t143 () (_ @t142 (_ @t133 @t141))) % 0.38/0.59 (define @t144 () (@quantifiers_skolemize @t97 3)) % 0.38/0.59 (define @t145 () (_ @t140 (_ @t144 @t139))) % 0.38/0.59 (define @t146 () (_ @t133 @t145)) % 0.38/0.59 (define @t147 () (= @t146 @t143)) % 0.38/0.59 (define @t148 () (@quantifiers_skolemize @t97 2)) % 0.38/0.59 (define @t149 () (_ @t148 @t139)) % 0.38/0.59 (define @t150 () (not @t149)) % 0.38/0.59 (define @t151 () (or @t150 @t147)) % 0.38/0.59 (define @t152 () (@quantifiers_skolemize @t97 10)) % 0.38/0.59 (define @t153 () (_ @t140 @t152)) % 0.38/0.59 (define @t154 () (_ @t135 (_ @t133 @t153))) % 0.38/0.59 (define @t155 () (_ @t148 @t152)) % 0.38/0.59 (define @t156 () (not @t155)) % 0.38/0.59 (define @t157 () (or @t156 @t154)) % 0.38/0.59 (define @t158 () (@quantifiers_skolemize @t97 9)) % 0.38/0.59 (define @t159 () (or (not (_ @t135 @t158)) (_ @t135 (_ @t142 @t158)))) % 0.38/0.59 (define @t160 () (@quantifiers_skolemize @t97 8)) % 0.38/0.59 (define @t161 () (or (not (_ @t148 @t160)) (_ @t148 (_ @t144 @t160)))) % 0.38/0.59 (define @t162 () (and @t161 @t159 @t157 @t151)) % 0.38/0.59 (define @t163 () (@quantifiers_skolemize @t97 5)) % 0.38/0.59 (define @t164 () (_ @t163 @t29)) % 0.38/0.59 (define @t165 () (forall @t38 (or @t137 (= (_ @t133 @t164) (_ @t142 @t134))))) % 0.38/0.59 (define @t166 () (not @t165)) % 0.38/0.59 (define @t167 () (not @t138)) % 0.38/0.59 (define @t168 () (forall @t24 (or (not (_ @t135 @t20)) (_ @t135 (_ @t142 @t20))))) % 0.38/0.59 (define @t169 () (not @t168)) % 0.38/0.59 (define @t170 () (_ @t140 @t1)) % 0.38/0.59 (define @t171 () (_ @t144 @t1)) % 0.38/0.59 (define @t172 () (not (_ @t148 @t1))) % 0.38/0.59 (define @t173 () (forall @t15 (or @t172 (= (_ @t140 @t171) (_ @t163 @t170))))) % 0.38/0.59 (define @t174 () (not @t173)) % 0.38/0.59 (define @t175 () (forall @t15 (or @t172 (_ @t136 @t170)))) % 0.38/0.59 (define @t176 () (not @t175)) % 0.38/0.59 (define @t177 () (forall @t15 (or @t172 (_ @t148 @t171)))) % 0.38/0.59 (define @t178 () (not @t177)) % 0.38/0.59 (define @t179 () (or @t178 (not (forall @t38 (or @t137 (_ @t136 @t164)))) @t176 @t174 @t169 @t167 @t166 @t162)) % 0.38/0.59 (define @t180 () (@list true)) % 0.38/0.59 (define @t181 () (@list @t179)) % 0.38/0.59 (define @t182 () (@list @t139)) % 0.38/0.59 (define @t183 () (_ @t136 @t141)) % 0.38/0.59 (define @t184 () (or @t150 @t183)) % 0.38/0.59 (define @t185 () (_ @t163 @t141)) % 0.38/0.59 (define @t186 () (= @t145 @t185)) % 0.38/0.59 (define @t187 () (or @t150 @t186)) % 0.38/0.59 (define @t188 () (_ @t133 @t185)) % 0.38/0.59 (define @t189 () (not @t183)) % 0.38/0.59 (define @t190 () (or @t189 (= @t188 @t143))) % 0.38/0.59 (define @t191 () (= @t143 @t188)) % 0.38/0.59 (define @t192 () (or @t189 @t191)) % 0.38/0.59 (define @t193 () (and @t186 @t191)) % 0.38/0.59 (define @t194 () (@list @t157)) % 0.38/0.59 (define @t195 () (_ @t136 @t153)) % 0.38/0.59 (define @t196 () (or @t156 @t195)) % 0.38/0.59 (define @t197 () (not @t195)) % 0.38/0.59 (define @t198 () (or @t197 @t154)) % 0.38/0.59 (assume @p1 @t53) % 0.38/0.59 (assume @p2 true) % 0.38/0.59 (step @p3 :rule quant-merge-prenex :args ((= (forall @t51 @t99) @t97))) % 0.38/0.59 (step @p4 :rule alpha_equiv :args (@t100 (@list @t54) @t101)) % 0.38/0.59 (step @p5 :rule quant-unused-vars :args ((= @t102 @t100))) % 0.38/0.59 (step @p6 :rule trans :premises (@p5 @p4)) % 0.38/0.59 (step @p7 :rule alpha_equiv :args (@t103 (@list @t56) @t101)) % 0.38/0.59 (step @p8 :rule quant-unused-vars :args ((= @t104 @t103))) % 0.38/0.59 (step @p9 :rule trans :premises (@p8 @p7)) % 0.38/0.59 (step @p10 :rule alpha_equiv :args (@t105 (@list @t58) (@list @t20))) % 0.38/0.59 (step @p11 :rule quant-unused-vars :args ((= @t106 @t105))) % 0.38/0.59 (step @p12 :rule trans :premises (@p11 @p10)) % 0.38/0.59 (step @p13 :rule alpha_equiv :args (@t107 (@list @t60) @t101)) % 0.38/0.59 (step @p14 :rule quant-unused-vars :args ((= @t108 @t107))) % 0.38/0.59 (step @p15 :rule trans :premises (@p14 @p13)) % 0.38/0.59 (step @p16 :rule nary_cong :premises (@p15 @p12 @p9 @p6) :args (@t109)) % 0.38/0.59 (step @p17 :rule quant-miniscope-and :args ((= @t110 @t109))) % 0.38/0.60 (step @p18 :rule trans :premises (@p17 @p16)) % 0.38/0.60 (step @p19 :rule refl :args (@t70)) % 0.38/0.60 (step @p20 :rule refl :args (@t73)) % 0.38/0.60 (step @p21 :rule refl :args (@t78)) % 0.38/0.60 (step @p22 :rule refl :args (@t86)) % 0.38/0.60 (step @p23 :rule refl :args (@t89)) % 0.38/0.60 (step @p24 :rule refl :args (@t92)) % 0.38/0.60 (step @p25 :rule refl :args (@t95)) % 0.38/0.60 (step @p26 :rule nary_cong :premises (@p25 @p24 @p23 @p22 @p21 @p20 @p19 @p18) :args (@t111)) % 0.38/0.60 (step @p27 :rule quant-miniscope-or :args ((= @t99 @t111))) % 0.38/0.60 (step @p28 :rule trans :premises (@p27 @p26)) % 0.38/0.60 (step @p29 :rule symm :premises (@p28)) % 0.38/0.60 (step @p30 :rule cong :premises (@p29) :args ((forall @t51 @t117))) % 0.38/0.60 (step @p31 :rule trans :premises (@p30 @p3)) % 0.38/0.60 (step @p32 :rule aci_norm :args ((= (or @t118 @t116) @t117))) % 0.38/0.60 (step @p33 :rule refl :args (@t116)) % 0.38/0.60 (step @p34 :rule aci_norm :args ((= @t119 @t118))) % 0.38/0.60 (step @p35 :rule aci_norm :args ((= (or @t95 (or @t92 (or @t89 (or @t86 (or @t92 (or @t78 (or @t73 @t70))))))) @t119))) % 0.38/0.60 (step @p36 :rule bool-and-de-morgan :args (@t72 @t69 true)) % 0.38/0.60 (step @p37 :rule nary_cong :premises (@p21 @p36) :args ((or @t78 (not (and @t72 @t69))))) % 0.38/0.60 (step @p38 :rule bool-and-de-morgan :args (@t77 @t72 (and @t69))) % 0.38/0.60 (step @p39 :rule trans :premises (@p38 @p37)) % 0.38/0.60 (step @p40 :rule nary_cong :premises (@p24 @p39) :args ((or @t92 (not (and @t77 @t72 @t69))))) % 0.38/0.60 (step @p41 :rule bool-and-de-morgan :args (@t91 @t77 (and @t72 @t69))) % 0.38/0.60 (step @p42 :rule trans :premises (@p41 @p40)) % 0.38/0.60 (step @p43 :rule nary_cong :premises (@p22 @p42) :args ((or @t86 (not (and @t91 @t77 @t72 @t69))))) % 0.38/0.60 (step @p44 :rule bool-and-de-morgan :args (@t85 @t91 (and @t77 @t72 @t69))) % 0.38/0.60 (step @p45 :rule trans :premises (@p44 @p43)) % 0.38/0.60 (step @p46 :rule nary_cong :premises (@p23 @p45) :args ((or @t89 (not (and @t85 @t91 @t77 @t72 @t69))))) % 0.38/0.60 (step @p47 :rule bool-and-de-morgan :args (@t88 @t85 (and @t91 @t77 @t72 @t69))) % 0.38/0.60 (step @p48 :rule trans :premises (@p47 @p46)) % 0.38/0.60 (step @p49 :rule nary_cong :premises (@p24 @p48) :args ((or @t92 (not (and @t88 @t85 @t91 @t77 @t72 @t69))))) % 0.38/0.60 (step @p50 :rule bool-and-de-morgan :args (@t91 @t88 (and @t85 @t91 @t77 @t72 @t69))) % 0.38/0.60 (step @p51 :rule trans :premises (@p50 @p49)) % 0.38/0.60 (step @p52 :rule nary_cong :premises (@p25 @p51) :args ((or @t95 (not (and @t91 @t88 @t85 @t91 @t77 @t72 @t69))))) % 0.38/0.60 (step @p53 :rule bool-and-de-morgan :args (@t94 @t91 (and @t88 @t85 @t91 @t77 @t72 @t69))) % 0.38/0.60 (step @p54 :rule trans :premises (@p53 @p52)) % 0.38/0.60 (step @p55 :rule trans :premises (@p54 @p35)) % 0.38/0.60 (step @p56 :rule trans :premises (@p55 @p34)) % 0.38/0.60 (step @p57 :rule nary_cong :premises (@p56 @p33) :args ((or (not @t120) @t116))) % 0.38/0.60 (step @p58 :rule trans :premises (@p57 @p32)) % 0.38/0.60 (step @p59 :rule bool-impl-elim :args (@t120 @t116)) % 0.38/0.60 (step @p60 :rule trans :premises (@p59 @p58)) % 0.38/0.60 (step @p61 :rule cong :premises (@p60) :args ((forall @t51 (=> @t120 @t116)))) % 0.38/0.60 (step @p62 :rule trans :premises (@p61 @p31)) % 0.38/0.60 (step @p63 :rule refl :args ((_ @t6 @t5))) % 0.38/0.60 (step @p64 :rule refl :args ((_ @t4 @t3))) % 0.38/0.60 (step @p65 :rule refl :args (@t79)) % 0.38/0.60 (step @p66 :rule cong 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:rule bool-double-not-elim :args (@t175)) % 0.38/0.60 (step @p315 :rule nary_cong :premises (@p300 @p314) :args ((or @t179 (not @t176)))) % 0.38/0.60 (step @p316 :rule cnf_or_neg :args (@t179 2)) % 0.38/0.60 (step @p317 :rule eq_resolve :premises (@p316 @p315)) % 0.38/0.60 (step @p318 :rule reordering :premises (@p317) :args ((or @t175 @t179))) % 0.38/0.60 (step @p319 :rule chain_m_resolution :premises (@p318 @p298) :args (@t175 @t180 @t181)) % 0.38/0.60 (step @p320 :rule instantiate :premises (@p319) :args (@t182)) % 0.38/0.60 (step @p321 :rule cnf_or_pos :args (@t184)) % 0.38/0.60 (step @p322 :rule reordering :premises (@p321) :args ((or @t150 @t183 (not @t184)))) % 0.38/0.60 (step @p323 :rule bool-double-not-elim :args (@t173)) % 0.38/0.60 (step @p324 :rule nary_cong :premises (@p300 @p323) :args ((or @t179 (not @t174)))) % 0.38/0.60 (step @p325 :rule cnf_or_neg :args (@t179 3)) % 0.38/0.60 (step @p326 :rule eq_resolve :premises (@p325 @p324)) % 0.38/0.60 (step @p327 :rule reordering :premises (@p326) :args ((or @t173 @t179))) % 0.38/0.60 (step @p328 :rule chain_m_resolution :premises (@p327 @p298) :args (@t173 @t180 @t181)) % 0.38/0.60 (step @p329 :rule instantiate :premises (@p328) :args (@t182)) % 0.38/0.60 (step @p330 :rule cnf_or_pos :args (@t187)) % 0.38/0.60 (step @p331 :rule reordering :premises (@p330) :args ((or @t150 @t186 (not @t187)))) % 0.38/0.60 (step @p332 :rule bool-double-not-elim :args (@t165)) % 0.38/0.60 (step @p333 :rule nary_cong :premises (@p300 @p332) :args ((or @t179 (not @t166)))) % 0.38/0.60 (step @p334 :rule cnf_or_neg :args (@t179 6)) % 0.38/0.60 (step @p335 :rule eq_resolve :premises (@p334 @p333)) % 0.38/0.60 (step @p336 :rule reordering :premises (@p335) :args ((or @t165 @t179))) % 0.38/0.60 (step @p337 :rule chain_m_resolution :premises (@p336 @p298) :args (@t165 @t180 @t181)) % 0.38/0.60 (step @p338 :rule eq-symm :args (@t188 @t143)) % 0.38/0.60 (step @p339 :rule refl :args (@t189)) % 0.38/0.60 (step @p340 :rule nary_cong :premises (@p339 @p338) :args (@t190)) % 0.38/0.60 (step @p341 :rule refl :args (@t165)) % 0.38/0.60 (step @p342 :rule cong :premises (@p341 @p340) :args ((=> @t165 @t190))) % 0.38/0.60 (assume-push @p406 @t165) % 0.38/0.60 (step @p344 :rule instantiate :premises (@p337) :args ((@list @t141))) % 0.38/0.60 (step-pop @p407 :rule scope :premises (@p344)) % 0.38/0.60 (step @p345 :rule process_scope :premises (@p407) :args (@t190)) % 0.38/0.60 (step @p347 :rule eq_resolve :premises (@p345 @p342)) % 0.38/0.60 (step @p348 :rule implies_elim :premises (@p347)) % 0.38/0.60 (step @p349 :rule chain_m_resolution :premises (@p348 @p337) :args (@t192 (@list false) (@list @t165))) % 0.38/0.60 (step @p350 :rule cnf_or_pos :args (@t192)) % 0.38/0.60 (step @p351 :rule reordering :premises (@p350) :args ((or @t189 @t191 (not @t192)))) % 0.38/0.60 (assume-push @p408 @t186) % 0.38/0.60 (assume-push @p409 @t191) % 0.38/0.60 (assume-push @p410 @t191) % 0.38/0.60 (assume-push @p411 @t186) % 0.38/0.60 (step @p356 :rule symm :premises (@p409)) % 0.38/0.60 (step @p357 :rule cong :premises (@p408) :args (@t146)) % 0.38/0.60 (step @p358 :rule trans :premises (@p357 @p356)) % 0.38/0.60 (step-pop @p412 :rule scope :premises (@p358)) % 0.38/0.60 (step-pop @p413 :rule scope :premises (@p412)) % 0.38/0.60 (step @p359 :rule process_scope :premises (@p413) :args (@t147)) % 0.38/0.60 (step @p362 :rule and_intro :premises (@p409 @p408)) % 0.38/0.60 (step @p363 :rule modus_ponens :premises (@p362 @p359)) % 0.38/0.60 (step-pop @p414 :rule scope :premises (@p363)) % 0.38/0.60 (step-pop @p415 :rule scope :premises (@p414)) % 0.38/0.60 (step @p364 :rule process_scope :premises (@p415) :args (@t147)) % 0.38/0.60 (step @p367 :rule implies_elim :premises (@p364)) % 0.38/0.60 (step @p368 :rule cnf_and_neg :args (@t193)) % 0.38/0.60 (step @p369 :rule resolution :premises (@p368 @p367) :args (true @t193)) % 0.38/0.60 (step @p370 :rule reordering :premises (@p369) :args ((or @t147 (not @t186) (not @t191)))) % 0.38/0.60 (step @p371 :rule chain_m_resolution :premises (@p370 @p351 @p349 @p331 @p329 @p322 @p320 @p313 @p312) :args (@t151 (@list false false false false false false true false) (@list @t191 @t192 @t186 @t187 @t183 @t184 @t147 @t149))) % 0.38/0.60 (step @p372 :rule bool-double-not-elim :args (@t168)) % 0.38/0.60 (step @p373 :rule nary_cong :premises (@p300 @p372) :args ((or @t179 (not @t169)))) % 0.38/0.60 (step @p374 :rule cnf_or_neg :args (@t179 4)) % 0.38/0.60 (step @p375 :rule eq_resolve :premises (@p374 @p373)) % 0.38/0.60 (step @p376 :rule reordering :premises (@p375) :args ((or @t168 @t179))) % 0.38/0.60 (step @p377 :rule chain_m_resolution :premises (@p376 @p298) :args (@t168 @t180 @t181)) % 0.38/0.60 (step @p378 :rule instantiate :premises (@p377) :args ((@list @t158))) % 0.38/0.60 (step @p379 :rule bool-double-not-elim :args (@t177)) % 0.38/0.60 (step @p380 :rule nary_cong :premises (@p300 @p379) :args ((or @t179 (not @t178)))) % 0.38/0.60 (step @p381 :rule cnf_or_neg :args (@t179 0)) % 0.38/0.60 (step @p382 :rule eq_resolve :premises (@p381 @p380)) % 0.38/0.60 (step @p383 :rule reordering :premises (@p382) :args ((or @t177 @t179))) % 0.38/0.60 (step @p384 :rule chain_m_resolution :premises (@p383 @p298) :args (@t177 @t180 @t181)) % 0.38/0.60 (step @p385 :rule instantiate :premises (@p384) :args ((@list @t160))) % 0.38/0.60 (step @p386 :rule cnf_or_neg :args (@t179 7)) % 0.38/0.60 (step @p387 :rule chain_m_resolution :premises (@p386 @p298) :args ((not @t162) @t180 @t181)) % 0.38/0.60 (step @p388 :rule cnf_and_neg :args (@t162)) % 0.38/0.60 (step @p389 :rule chain_m_resolution :premises (@p388 @p387 @p385 @p378 @p371) :args ((not @t157) (@list true false false false) (@list @t162 @t161 @t159 @t151))) % 0.38/0.60 (step @p390 :rule cnf_or_neg :args (@t157 1)) % 0.38/0.60 (step @p391 :rule chain_m_resolution :premises (@p390 @p389) :args ((not @t154) @t180 @t194)) % 0.38/0.60 (step @p392 :rule instantiate :premises (@p319) :args ((@list @t152))) % 0.38/0.60 (step @p393 :rule bool-double-not-elim :args (@t155)) % 0.38/0.60 (step @p394 :rule refl :args (@t157)) % 0.38/0.60 (step @p395 :rule nary_cong :premises (@p394 @p393) :args ((or @t157 (not @t156)))) % 0.38/0.60 (step @p396 :rule cnf_or_neg :args (@t157 0)) % 0.38/0.60 (step @p397 :rule eq_resolve :premises (@p396 @p395)) % 0.38/0.60 (step @p398 :rule reordering :premises (@p397) :args ((or @t155 @t157))) % 0.38/0.60 (step @p399 :rule chain_m_resolution :premises (@p398 @p389) :args (@t155 @t180 @t194)) % 0.38/0.60 (step @p400 :rule cnf_or_pos :args (@t196)) % 0.38/0.60 (step @p401 :rule reordering :premises (@p400) :args ((or @t156 @t195 (not @t196)))) % 0.38/0.60 (step @p402 :rule chain_m_resolution :premises (@p401 @p399 @p392) :args (@t195 (@list false false) (@list @t155 @t196))) % 0.38/0.60 (step @p403 :rule cnf_or_pos :args (@t198)) % 0.38/0.60 (step @p404 :rule reordering :premises (@p403) :args ((or @t154 @t197 (not @t198)))) % 0.38/0.60 (step @p405 false :rule chain_m_resolution :premises (@p404 @p402 @p391 @p306) :args (false (@list false true false) (@list @t195 @t154 @t198))) % 0.38/0.60 ) % 0.38/0.60 % SZS output end Proof % 0.38/0.60 % cvc5 exiting %------------------------------------------------------------------------------