%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU749^2 : TPTP v9.2.1. Released v3.7.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n011.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 08:53:01 AM UTC 2026 % Result : Theorem 0.40s 0.62s % Output : Proof 0.40s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU749^2 : TPTP v9.2.1. Released v3.7.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n011.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 17:50:20 EDT 2026 % 0.16/0.35 % CPUTime : % 0.29/0.50 %----Proving TH0 % 0.40/0.62 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.40/0.62 % SZS status Theorem % 0.40/0.62 % SZS output start Proof % 0.40/0.62 ( % 0.40/0.62 (declare-sort $$unsorted 0) % 0.40/0.62 (declare-const tptp.powersetTI1 Bool) % 0.40/0.62 (declare-const tptp.demorgan2a1 Bool) % 0.40/0.62 (declare-const tptp.complementT_lem Bool) % 0.40/0.62 (declare-const tptp.setminus (-> $$unsorted $$unsorted $$unsorted)) % 0.40/0.62 (declare-const tptp.binunionT_lem Bool) % 0.40/0.62 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.40/0.62 (declare-const tptp.binunion (-> $$unsorted $$unsorted $$unsorted)) % 0.40/0.62 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 0.40/0.62 (define @t1 () (@var "A" $$unsorted)) % 0.40/0.62 (define @t2 () (_ tptp.powerset @t1)) % 0.40/0.62 (define @t3 () (@var "Y" $$unsorted)) % 0.40/0.62 (define @t4 () (@var "X" $$unsorted)) % 0.40/0.62 (define @t5 () (_ (_ tptp.binunion @t4) @t3)) % 0.40/0.62 (define @t6 () (_ (_ tptp.in @t5) @t2)) % 0.40/0.62 (define @t7 () (_ tptp.in @t3)) % 0.40/0.62 (define @t8 () (_ @t7 @t2)) % 0.40/0.62 (define @t9 () (@list @t3)) % 0.40/0.62 (define @t10 () (forall @t9 (=> @t8 @t6))) % 0.40/0.62 (define @t11 () (_ tptp.in @t4)) % 0.40/0.62 (define @t12 () (_ @t11 @t2)) % 0.40/0.62 (define @t13 () (=> @t12 @t10)) % 0.40/0.62 (define @t14 () (@list @t1 @t4)) % 0.40/0.62 (define @t15 () (forall @t14 @t13)) % 0.40/0.62 (define @t16 () (= tptp.binunionT_lem @t15)) % 0.40/0.62 (define @t17 () (_ tptp.setminus @t1)) % 0.40/0.62 (define @t18 () (_ @t17 @t4)) % 0.40/0.62 (define @t19 () (_ (_ tptp.in @t18) @t2)) % 0.40/0.62 (define @t20 () (forall @t14 (=> @t12 @t19))) % 0.40/0.62 (define @t21 () (= tptp.complementT_lem @t20)) % 0.40/0.62 (define @t22 () (_ tptp.powerset @t3)) % 0.40/0.62 (define @t23 () (_ @t11 @t22)) % 0.40/0.62 (define @t24 () (@var "Xx" $$unsorted)) % 0.40/0.62 (define @t25 () (_ tptp.in @t24)) % 0.40/0.62 (define @t26 () (_ @t25 @t3)) % 0.40/0.62 (define @t27 () (_ @t25 @t4)) % 0.40/0.62 (define @t28 () (=> @t27 @t26)) % 0.40/0.62 (define @t29 () (_ @t25 @t1)) % 0.40/0.62 (define @t30 () (@list @t24)) % 0.40/0.62 (define @t31 () (forall @t30 (=> @t29 @t28))) % 0.40/0.62 (define @t32 () (=> @t31 @t23)) % 0.40/0.62 (define @t33 () (=> @t8 @t32)) % 0.40/0.62 (define @t34 () (forall @t9 @t33)) % 0.40/0.62 (define @t35 () (=> @t12 @t34)) % 0.40/0.62 (define @t36 () (forall @t14 @t35)) % 0.40/0.62 (define @t37 () (= tptp.powersetTI1 @t36)) % 0.40/0.62 (define @t38 () (_ @t25 @t18)) % 0.40/0.62 (define @t39 () (_ @t17 @t5)) % 0.40/0.62 (define @t40 () (_ @t25 @t39)) % 0.40/0.62 (define @t41 () (=> @t40 @t38)) % 0.40/0.62 (define @t42 () (forall @t30 (=> @t29 @t41))) % 0.40/0.62 (define @t43 () (=> @t8 @t42)) % 0.40/0.62 (define @t44 () (forall @t9 @t43)) % 0.40/0.62 (define @t45 () (=> @t12 @t44)) % 0.40/0.62 (define @t46 () (forall @t14 @t45)) % 0.40/0.62 (define @t47 () (= tptp.demorgan2a1 @t46)) % 0.40/0.62 (define @t48 () (_ tptp.powerset @t18)) % 0.40/0.62 (define @t49 () (_ (_ tptp.in @t39) @t48)) % 0.40/0.62 (define @t50 () (forall @t9 (=> @t8 @t49))) % 0.40/0.62 (define @t51 () (=> @t12 @t50)) % 0.40/0.62 (define @t52 () (forall @t14 @t51)) % 0.40/0.62 (define @t53 () (=> tptp.demorgan2a1 @t52)) % 0.40/0.62 (define @t54 () (=> tptp.powersetTI1 @t53)) % 0.40/0.62 (define @t55 () (=> tptp.complementT_lem @t54)) % 0.40/0.62 (define @t56 () (=> tptp.binunionT_lem @t55)) % 0.40/0.62 (define @t57 () (not @t56)) % 0.40/0.62 (define @t58 () (tptp.setminus @t1 @t4)) % 0.40/0.62 (define @t59 () (tptp.powerset @t58)) % 0.40/0.62 (define @t60 () (@var "BOUND_VARIABLE_7653" $$unsorted)) % 0.40/0.62 (define @t61 () (tptp.in (tptp.setminus @t1 (tptp.binunion @t4 @t60)) @t59)) % 0.40/0.62 (define @t62 () (tptp.powerset @t1)) % 0.40/0.62 (define @t63 () (not (tptp.in @t60 @t62))) % 0.40/0.62 (define @t64 () (tptp.in @t4 @t62)) % 0.40/0.62 (define @t65 () (not @t64)) % 0.40/0.62 (define @t66 () (or @t65 @t63 @t61)) % 0.40/0.62 (define @t67 () (@list @t1 @t4 @t60)) % 0.40/0.62 (define @t68 () (forall @t67 @t66)) % 0.40/0.62 (define @t69 () (@var "BOUND_VARIABLE_7619" $$unsorted)) % 0.40/0.62 (define @t70 () (tptp.in @t69 @t58)) % 0.40/0.62 (define @t71 () (@var "BOUND_VARIABLE_7617" $$unsorted)) % 0.40/0.62 (define @t72 () (not (tptp.in @t69 (tptp.setminus @t1 (tptp.binunion @t4 @t71))))) % 0.40/0.62 (define @t73 () (not (tptp.in @t69 @t1))) % 0.40/0.62 (define @t74 () (not (tptp.in @t71 @t62))) % 0.40/0.62 (define @t75 () (or @t65 @t74 @t73 @t72 @t70)) % 0.40/0.62 (define @t76 () (or @t74 @t73 @t72 @t70)) % 0.40/0.62 (define @t77 () (or @t65 @t76)) % 0.40/0.62 (define @t78 () (@list @t1 @t4 @t71 @t69)) % 0.40/0.62 (define @t79 () (forall @t78 @t77)) % 0.40/0.62 (define @t80 () (@list @t71 @t69)) % 0.40/0.62 (define @t81 () (forall @t80 @t77)) % 0.40/0.62 (define @t82 () (forall @t80 @t76)) % 0.40/0.62 (define @t83 () (@var "BOUND_VARIABLE_7598" $$unsorted)) % 0.40/0.62 (define @t84 () (or @t65 @t82)) % 0.40/0.62 (define @t85 () (tptp.in @t83 @t58)) % 0.40/0.62 (define @t86 () (tptp.binunion @t4 @t3)) % 0.40/0.62 (define @t87 () (tptp.setminus @t1 @t86)) % 0.40/0.62 (define @t88 () (not (tptp.in @t83 @t87))) % 0.40/0.62 (define @t89 () (not (tptp.in @t83 @t1))) % 0.40/0.62 (define @t90 () (tptp.in @t3 @t62)) % 0.40/0.62 (define @t91 () (not @t90)) % 0.40/0.62 (define @t92 () (or @t91 @t89 @t88 @t85)) % 0.40/0.62 (define @t93 () (@list @t3 @t83)) % 0.40/0.62 (define @t94 () (forall @t93 @t92)) % 0.40/0.62 (define @t95 () (not @t12)) % 0.40/0.62 (define @t96 () (or @t95 @t94)) % 0.40/0.62 (define @t97 () (or @t89 @t88 @t85)) % 0.40/0.62 (define @t98 () (or @t91 @t97)) % 0.40/0.62 (define @t99 () (forall @t93 @t98)) % 0.40/0.62 (define @t100 () (@list @t83)) % 0.40/0.62 (define @t101 () (forall @t100 @t98)) % 0.40/0.62 (define @t102 () (forall @t100 @t97)) % 0.40/0.62 (define @t103 () (or @t91 @t102)) % 0.40/0.62 (define @t104 () (tptp.in @t24 @t58)) % 0.40/0.62 (define @t105 () (tptp.in @t24 @t87)) % 0.40/0.62 (define @t106 () (tptp.in @t24 @t1)) % 0.40/0.62 (define @t107 () (not @t106)) % 0.40/0.62 (define @t108 () (forall @t30 (or @t107 (not @t105) @t104))) % 0.40/0.62 (define @t109 () (not @t8)) % 0.40/0.62 (define @t110 () (or @t109 @t108)) % 0.40/0.62 (define @t111 () (not @t40)) % 0.40/0.62 (define @t112 () (not @t29)) % 0.40/0.62 (define @t113 () (or @t112 @t111 @t38)) % 0.40/0.62 (define @t114 () (=> tptp.demorgan2a1 @t68)) % 0.40/0.62 (define @t115 () (@var "BOUND_VARIABLE_7561" $$unsorted)) % 0.40/0.62 (define @t116 () (tptp.in @t4 (tptp.powerset @t115))) % 0.40/0.62 (define @t117 () (tptp.in @t24 @t4)) % 0.40/0.62 (define @t118 () (not @t117)) % 0.40/0.62 (define @t119 () (not (forall @t30 (or @t107 @t118 (tptp.in @t24 @t115))))) % 0.40/0.62 (define @t120 () (not (tptp.in @t115 @t62))) % 0.40/0.62 (define @t121 () (or @t120 @t119 @t116)) % 0.40/0.62 (define @t122 () (or @t65 @t121)) % 0.40/0.62 (define @t123 () (forall (@list @t1 @t4 @t115) @t122)) % 0.40/0.62 (define @t124 () (@list @t115)) % 0.40/0.62 (define @t125 () (forall @t124 @t122)) % 0.40/0.62 (define @t126 () (forall @t124 @t121)) % 0.40/0.62 (define @t127 () (@list @t3)) % 0.40/0.62 (define @t128 () (or @t65 @t126)) % 0.40/0.62 (define @t129 () (tptp.powerset @t3)) % 0.40/0.62 (define @t130 () (tptp.in @t4 @t129)) % 0.40/0.62 (define @t131 () (tptp.in @t24 @t3)) % 0.40/0.62 (define @t132 () (forall @t30 (or @t107 @t118 @t131))) % 0.40/0.62 (define @t133 () (not @t132)) % 0.40/0.62 (define @t134 () (forall @t9 (or @t91 @t133 @t130))) % 0.40/0.62 (define @t135 () (or @t95 @t134)) % 0.40/0.62 (define @t136 () (or @t109 @t133 @t23)) % 0.40/0.62 (define @t137 () (=> @t132 @t23)) % 0.40/0.62 (define @t138 () (not @t27)) % 0.40/0.62 (define @t139 () (or @t112 @t138 @t26)) % 0.40/0.62 (define @t140 () (=> tptp.powersetTI1 @t114)) % 0.40/0.62 (define @t141 () (tptp.in @t58 @t62)) % 0.40/0.62 (define @t142 () (or @t95 @t19)) % 0.40/0.62 (define @t143 () (=> tptp.complementT_lem @t140)) % 0.40/0.62 (define @t144 () (@var "BOUND_VARIABLE_7507" $$unsorted)) % 0.40/0.62 (define @t145 () (tptp.in (tptp.binunion @t4 @t144) @t62)) % 0.40/0.62 (define @t146 () (not (tptp.in @t144 @t62))) % 0.40/0.62 (define @t147 () (or @t146 @t145)) % 0.40/0.62 (define @t148 () (or @t65 @t147)) % 0.40/0.62 (define @t149 () (forall (@list @t1 @t4 @t144) @t148)) % 0.40/0.62 (define @t150 () (@list @t144)) % 0.40/0.62 (define @t151 () (forall @t150 @t148)) % 0.40/0.62 (define @t152 () (forall @t150 @t147)) % 0.40/0.62 (define @t153 () (or @t65 @t152)) % 0.40/0.62 (define @t154 () (tptp.in @t86 @t62)) % 0.40/0.62 (define @t155 () (forall @t9 (or @t91 @t154))) % 0.40/0.62 (define @t156 () (or @t95 @t155)) % 0.40/0.62 (define @t157 () (or @t109 @t6)) % 0.40/0.62 (define @t158 () (=> tptp.binunionT_lem @t143)) % 0.40/0.62 (define @t159 () (or @t63 @t61)) % 0.40/0.62 (define @t160 () (or @t65 @t159)) % 0.40/0.62 (define @t161 () (forall @t67 @t160)) % 0.40/0.62 (define @t162 () (@list @t60)) % 0.40/0.62 (define @t163 () (forall @t162 @t160)) % 0.40/0.62 (define @t164 () (forall @t162 @t159)) % 0.40/0.62 (define @t165 () (or @t65 @t164)) % 0.40/0.62 (define @t166 () (tptp.in @t87 @t59)) % 0.40/0.62 (define @t167 () (forall @t9 (or @t91 @t166))) % 0.40/0.62 (define @t168 () (or @t95 @t167)) % 0.40/0.62 (define @t169 () (or @t109 @t49)) % 0.40/0.62 (define @t170 () (@quantifiers_skolemize @t68 1)) % 0.40/0.62 (define @t171 () (@quantifiers_skolemize @t68 0)) % 0.40/0.62 (define @t172 () (tptp.setminus @t171 @t170)) % 0.40/0.62 (define @t173 () (@quantifiers_skolemize @t68 2)) % 0.40/0.62 (define @t174 () (tptp.binunion @t170 @t173)) % 0.40/0.62 (define @t175 () (tptp.setminus @t171 @t174)) % 0.40/0.62 (define @t176 () (tptp.powerset @t171)) % 0.40/0.62 (define @t177 () (tptp.in @t173 @t176)) % 0.40/0.62 (define @t178 () (tptp.in @t175 (tptp.powerset @t172))) % 0.40/0.62 (define @t179 () (not @t177)) % 0.40/0.62 (define @t180 () (tptp.in @t170 @t176)) % 0.40/0.62 (define @t181 () (not @t180)) % 0.40/0.62 (define @t182 () (or @t181 @t179 @t178)) % 0.40/0.62 (define @t183 () (@list true)) % 0.40/0.62 (define @t184 () (@list @t182)) % 0.40/0.62 (define @t185 () (tptp.in @t174 @t176)) % 0.40/0.62 (define @t186 () (or @t181 @t179 @t185)) % 0.40/0.62 (define @t187 () (tptp.in @t175 @t176)) % 0.40/0.62 (define @t188 () (not @t185)) % 0.40/0.62 (define @t189 () (or @t188 @t187)) % 0.40/0.62 (define @t190 () (@list false false)) % 0.40/0.62 (define @t191 () (tptp.in @t172 @t176)) % 0.40/0.62 (define @t192 () (or @t181 @t191)) % 0.40/0.62 (define @t193 () (forall @t30 (or (not (tptp.in @t24 @t171)) (not (tptp.in @t24 @t175)) (tptp.in @t24 @t172)))) % 0.40/0.62 (define @t194 () (not @t193)) % 0.40/0.62 (define @t195 () (not @t191)) % 0.40/0.62 (define @t196 () (not @t187)) % 0.40/0.62 (define @t197 () (or @t196 @t195 @t194 @t178)) % 0.40/0.62 (define @t198 () (@quantifiers_skolemize @t193 0)) % 0.40/0.62 (define @t199 () (tptp.in @t198 @t172)) % 0.40/0.62 (define @t200 () (tptp.in @t198 @t175)) % 0.40/0.62 (define @t201 () (not @t200)) % 0.40/0.62 (define @t202 () (tptp.in @t198 @t171)) % 0.40/0.62 (define @t203 () (not @t202)) % 0.40/0.62 (define @t204 () (or @t203 @t201 @t199)) % 0.40/0.62 (define @t205 () (@list @t204)) % 0.40/0.62 (define @t206 () (or @t181 @t179 @t203 @t201 @t199)) % 0.40/0.62 (define @t207 () (not @t206)) % 0.40/0.62 (define @t208 () (forall @t78 @t75)) % 0.40/0.62 (assume @p1 @t16) % 0.40/0.62 (assume @p2 @t21) % 0.40/0.62 (assume @p3 @t37) % 0.40/0.62 (assume @p4 @t47) % 0.40/0.62 (assume @p5 @t57) % 0.40/0.62 (assume @p6 true) % 0.40/0.62 (step @p7 :rule refl :args (@t68)) % 0.40/0.62 (step @p8 :rule aci_norm :args ((= @t77 @t75))) % 0.40/0.62 (step @p9 :rule cong :premises (@p8) :args (@t79)) % 0.40/0.62 (step @p10 :rule quant-merge-prenex :args ((= (forall @t14 @t81) @t79))) % 0.40/0.62 (step @p11 :rule alpha_equiv :args (@t82 (@list @t71 @t69) (@list @t3 @t83))) % 0.40/0.62 (step @p12 :rule refl :args (@t65)) % 0.40/0.62 (step @p13 :rule nary_cong :premises (@p12 @p11) :args (@t84)) % 0.40/0.62 (step @p14 :rule quant-miniscope-or :args ((= @t81 @t84))) % 0.40/0.62 (step @p15 :rule trans :premises (@p14 @p13)) % 0.40/0.62 (step @p16 :rule symm :premises (@p15)) % 0.40/0.62 (step @p17 :rule cong :premises (@p16) :args ((forall @t14 (or @t65 @t94)))) % 0.40/0.62 (step @p18 :rule trans :premises (@p17 @p10)) % 0.40/0.62 (step @p19 :rule trans :premises (@p18 @p9)) % 0.40/0.62 (step @p20 :rule refl :args (@t94)) % 0.40/0.62 (step @p21 :rule refl :args ((tptp.in @t4 @t2))) % 0.40/0.62 (step @p22 :rule refl :args (@t62)) % 0.40/0.62 (step @p23 :rule refl :args (@t4)) % 0.40/0.62 (step @p24 :rule cong :premises (@p23 @p22) :args (@t64)) % 0.40/0.62 (step @p25 :rule trans :premises (@p24 @p21)) % 0.40/0.62 (step @p26 :rule refl :args (@t11)) % 0.40/0.62 (step @p27 :rule ho_cong :premises (@p26 @p22)) % 0.40/0.62 (step @p28 :rule cong :premises (@p27 @p25) :args ((= (_ @t11 @t62) @t64))) % 0.40/0.62 (step @p29 :rule symm :premises (@p28)) % 0.40/0.62 (step @p30 :rule refl :args (@t12)) % 0.40/0.62 (step @p31 :rule eq_resolve :premises (@p30 @p29)) % 0.40/0.62 (step @p32 :rule refl :args (@t2)) % 0.40/0.62 (step @p33 :rule cong :premises (@p32 @p22) :args ((= @t2 @t62))) % 0.40/0.62 (step @p34 :rule symm :premises (@p33)) % 0.40/0.62 (step @p35 :rule eq_resolve :premises 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:args ((forall @t14 @t168))) % 0.40/0.62 (step @p308 :rule trans :premises (@p307 @p304)) % 0.40/0.62 (step @p309 :rule bool-impl-elim :args (@t12 @t167)) % 0.40/0.62 (step @p310 :rule cong :premises (@p309) :args ((forall @t14 (=> @t12 @t167)))) % 0.40/0.62 (step @p311 :rule trans :premises (@p310 @p308)) % 0.40/0.62 (step @p312 :rule refl :args ((tptp.in @t39 @t48))) % 0.40/0.62 (step @p313 :rule refl :args ((tptp.powerset @t18))) % 0.40/0.62 (step @p314 :rule cong :premises (@p78) :args (@t59)) % 0.40/0.62 (step @p315 :rule trans :premises (@p314 @p313)) % 0.40/0.62 (step @p316 :rule cong :premises (@p99 @p315) :args (@t166)) % 0.40/0.62 (step @p317 :rule trans :premises (@p316 @p312)) % 0.40/0.62 (step @p318 :rule ho_cong :premises (@p232 @p99)) % 0.40/0.62 (step @p319 :rule ho_cong :premises (@p318 @p315)) % 0.40/0.62 (step @p320 :rule cong :premises (@p319 @p317) :args ((= (_ (_ tptp.in @t87) @t59) @t166))) % 0.40/0.62 (step @p321 :rule symm :premises (@p320)) % 0.40/0.62 (step @p322 :rule refl :args (@t49)) % 0.40/0.62 (step @p323 :rule eq_resolve :premises (@p322 @p321)) % 0.40/0.62 (step @p324 :rule refl :args (tptp.powerset)) % 0.40/0.62 (step @p325 :rule ho_cong :premises (@p324 @p78)) % 0.40/0.62 (step @p326 :rule cong :premises (@p325 @p315) :args ((= (_ tptp.powerset @t58) @t59))) % 0.40/0.62 (step @p327 :rule symm :premises (@p326)) % 0.40/0.62 (step @p328 :rule refl :args (@t48)) % 0.40/0.62 (step @p329 :rule eq_resolve :premises (@p328 @p327)) % 0.40/0.62 (step @p330 :rule ho_cong :premises (@p324 @p91)) % 0.40/0.62 (step @p331 :rule trans :premises (@p330 @p329)) % 0.40/0.62 (step @p332 :rule ho_cong :premises (@p232 @p118)) % 0.40/0.62 (step @p333 :rule ho_cong :premises (@p332 @p331)) % 0.40/0.62 (step @p334 :rule trans :premises (@p333 @p323)) % 0.40/0.62 (step @p335 :rule nary_cong :premises (@p70 @p334) :args (@t169)) % 0.40/0.62 (step @p336 :rule cong :premises (@p335) :args ((forall @t9 @t169))) % 0.40/0.62 (step @p337 :rule bool-impl-elim :args (@t8 @t49)) % 0.40/0.62 (step @p338 :rule cong :premises (@p337) :args (@t50)) % 0.40/0.62 (step @p339 :rule trans :premises (@p338 @p336)) % 0.40/0.62 (step @p340 :rule cong :premises (@p143 @p339) :args (@t51)) % 0.40/0.62 (step @p341 :rule cong :premises (@p340) :args (@t52)) % 0.40/0.62 (step @p342 :rule trans :premises (@p341 @p311)) % 0.40/0.62 (step @p343 :rule cong :premises (@p147 @p342) :args (@t53)) % 0.40/0.62 (step @p344 :rule cong :premises (@p225 @p343) :args (@t54)) % 0.40/0.62 (step @p345 :rule cong :premises (@p247 @p344) :args (@t55)) % 0.40/0.62 (step @p346 :rule cong :premises (@p289 @p345) :args (@t56)) % 0.40/0.62 (step @p347 :rule cong :premises (@p346) :args (@t57)) % 0.40/0.62 (step @p348 :rule trans :premises (@p347 @p293)) % 0.40/0.62 (step @p349 :rule eq_resolve :premises (@p5 @p348)) % 0.40/0.62 (step @p350 :rule not_implies_elim2 :premises (@p349)) % 0.40/0.62 (step @p351 :rule not_implies_elim2 :premises (@p350)) % 0.40/0.62 (step @p352 :rule not_implies_elim2 :premises (@p351)) % 0.40/0.62 (step @p353 :rule not_implies_elim1 :premises (@p352)) % 0.40/0.62 (step @p354 :rule not_implies_elim1 :premises (@p351)) % 0.40/0.62 (step @p355 :rule instantiate :premises (@p354) :args ((@list @t171 @t175 @t172))) % 0.40/0.62 (step @p356 :rule not_implies_elim1 :premises (@p350)) % 0.40/0.62 (step @p357 :rule instantiate :premises (@p356) :args ((@list @t171 @t174))) % 0.40/0.62 (step @p358 :rule not_implies_elim1 :premises (@p349)) % 0.40/0.62 (step @p359 :rule instantiate :premises (@p358) :args ((@list @t171 @t170 @t173))) % 0.40/0.62 (step @p360 :rule not_implies_elim2 :premises (@p352)) % 0.40/0.62 (step @p361 :rule skolemize :premises (@p360)) % 0.40/0.62 (step @p362 :rule bool-double-not-elim :args (@t177)) % 0.40/0.62 (step @p363 :rule refl :args (@t182)) % 0.40/0.62 (step @p364 :rule nary_cong :premises (@p363 @p362) :args ((or @t182 (not @t179)))) % 0.40/0.62 (step @p365 :rule cnf_or_neg :args (@t182 1)) % 0.40/0.62 (step @p366 :rule eq_resolve :premises (@p365 @p364)) % 0.40/0.62 (step @p367 :rule reordering :premises (@p366) :args ((or @t177 @t182))) % 0.40/0.62 (step @p368 :rule chain_m_resolution :premises (@p367 @p361) :args (@t177 @t183 @t184)) % 0.40/0.62 (step @p369 :rule bool-double-not-elim :args (@t180)) % 0.40/0.62 (step @p370 :rule nary_cong :premises (@p363 @p369) :args ((or @t182 (not @t181)))) % 0.40/0.62 (step @p371 :rule cnf_or_neg :args (@t182 0)) % 0.40/0.62 (step @p372 :rule eq_resolve :premises (@p371 @p370)) % 0.40/0.62 (step @p373 :rule reordering :premises (@p372) :args ((or @t180 @t182))) % 0.40/0.62 (step @p374 :rule chain_m_resolution :premises (@p373 @p361) :args (@t180 @t183 @t184)) % 0.40/0.62 (step @p375 :rule cnf_or_pos :args (@t186)) % 0.40/0.62 (step @p376 :rule reordering :premises (@p375) :args ((or @t181 @t179 @t185 (not @t186)))) % 0.40/0.62 (step @p377 :rule chain_m_resolution :premises (@p376 @p374 @p368 @p359) :args (@t185 (@list false false false) (@list @t180 @t177 @t186))) % 0.40/0.62 (step @p378 :rule cnf_or_pos :args (@t189)) % 0.40/0.62 (step @p379 :rule reordering :premises (@p378) :args ((or @t188 @t187 (not @t189)))) % 0.40/0.62 (step @p380 :rule chain_m_resolution :premises (@p379 @p377 @p357) :args (@t187 @t190 (@list @t185 @t189))) % 0.40/0.62 (step @p381 :rule instantiate :premises (@p356) :args ((@list @t171 @t170))) % 0.40/0.62 (step @p382 :rule cnf_or_pos :args (@t192)) % 0.40/0.62 (step @p383 :rule reordering :premises (@p382) :args ((or @t181 @t191 (not @t192)))) % 0.40/0.62 (step @p384 :rule chain_m_resolution :premises (@p383 @p374 @p381) :args (@t191 @t190 (@list @t180 @t192))) % 0.40/0.62 (step @p385 :rule cnf_or_neg :args (@t182 2)) % 0.40/0.62 (step @p386 :rule chain_m_resolution :premises (@p385 @p361) :args ((not @t178) @t183 @t184)) % 0.40/0.62 (step @p387 :rule cnf_or_pos :args (@t197)) % 0.40/0.62 (step @p388 :rule reordering :premises (@p387) :args ((or @t178 @t195 @t196 @t194 (not @t197)))) % 0.40/0.62 (step @p389 :rule chain_m_resolution :premises (@p388 @p386 @p384 @p380 @p355) :args (@t194 (@list true false false false) (@list @t178 @t191 @t187 @t197))) % 0.40/0.62 (step @p390 :rule skolemize :premises (@p389)) % 0.40/0.62 (step @p391 :rule cnf_or_neg :args (@t204 2)) % 0.40/0.62 (step @p392 :rule chain_m_resolution :premises (@p391 @p390) :args ((not @t199) @t183 @t205)) % 0.40/0.62 (step @p393 :rule bool-double-not-elim :args (@t200)) % 0.40/0.62 (step @p394 :rule refl :args (@t204)) % 0.40/0.62 (step @p395 :rule nary_cong :premises (@p394 @p393) :args ((or @t204 (not @t201)))) % 0.40/0.62 (step @p396 :rule cnf_or_neg :args (@t204 1)) % 0.40/0.62 (step @p397 :rule eq_resolve :premises (@p396 @p395)) % 0.40/0.62 (step @p398 :rule reordering :premises (@p397) :args ((or @t200 @t204))) % 0.40/0.62 (step @p399 :rule chain_m_resolution :premises (@p398 @p390) :args (@t200 @t183 @t205)) % 0.40/0.62 (step @p400 :rule bool-double-not-elim :args (@t202)) % 0.40/0.62 (step @p401 :rule nary_cong :premises (@p394 @p400) :args ((or @t204 (not @t203)))) % 0.40/0.62 (step @p402 :rule cnf_or_neg :args (@t204 0)) % 0.40/0.62 (step @p403 :rule eq_resolve :premises (@p402 @p401)) % 0.40/0.62 (step @p404 :rule reordering :premises (@p403) :args ((or @t202 @t204))) % 0.40/0.62 (step @p405 :rule chain_m_resolution :premises (@p404 @p390) :args (@t202 @t183 @t205)) % 0.40/0.62 (step @p406 :rule cnf_or_pos :args (@t206)) % 0.40/0.62 (step @p407 :rule reordering :premises (@p406) :args ((or @t181 @t179 @t203 @t201 @t199 @t207))) % 0.40/0.62 (step @p408 :rule chain_m_resolution :premises (@p407 @p374 @p368 @p405 @p399 @p392) :args (@t207 (@list false false false false true) (@list @t180 @t177 @t202 @t200 @t199))) % 0.40/0.62 (assume-push @p415 @t208) % 0.40/0.62 (step @p410 :rule instantiate :premises (@p353) :args ((@list @t171 @t170 @t173 @t198))) % 0.40/0.62 (step-pop @p416 :rule scope :premises (@p410)) % 0.40/0.62 (step @p411 :rule process_scope :premises (@p416) :args (@t206)) % 0.40/0.62 (step @p413 :rule implies_elim :premises (@p411)) % 0.40/0.62 (step @p414 false :rule chain_m_resolution :premises (@p413 @p408 @p353) :args (false (@list true false) (@list @t206 @t208))) % 0.40/0.62 ) % 0.40/0.62 % SZS output end Proof % 0.40/0.62 % cvc5 exiting %------------------------------------------------------------------------------