%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU681^2 : 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 : 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 08:52:42 AM UTC 2026 % Result : Theorem 0.41s 0.60s % Output : Proof 0.41s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU681^2 : TPTP v9.2.1. Released v3.7.0. % 0.11/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.19/0.35 % Computer : n014.cluster.edu % 0.19/0.35 % Model : x86_64 x86_64 % 0.19/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.19/0.35 % Memory : 8042.1875MB % 0.19/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.19/0.35 % CPULimit : 300 % 0.19/0.35 % WCLimit : 300 % 0.19/0.35 % DateTime : Tue Jun 2 17:46:13 EDT 2026 % 0.19/0.35 % CPUTime : % 0.32/0.50 %----Proving TH0 % 0.41/0.60 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.41/0.60 % SZS status Theorem % 0.41/0.60 % SZS output start Proof % 0.41/0.60 ( % 0.41/0.60 (declare-sort $$unsorted 0) % 0.41/0.60 (declare-const tptp.cartprod (-> $$unsorted $$unsorted $$unsorted)) % 0.41/0.60 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.41/0.60 (declare-const tptp.cartprodmempair1 Bool) % 0.41/0.60 (declare-const tptp.kpair (-> $$unsorted $$unsorted $$unsorted)) % 0.41/0.60 (declare-const tptp.subsetE Bool) % 0.41/0.60 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.41/0.60 (define tptp.breln () (let ((_let_1 (@var "B" $$unsorted))) (let ((_let_2 (@var "A" $$unsorted))) (let ((_let_3 (@var "C" $$unsorted))) (lambda (@list _let_2 _let_1 _let_3) (_ (_ tptp.subset _let_3) (_ (_ tptp.cartprod _let_2) _let_1))))))) % 0.41/0.60 (define @t1 () (@var "B" $$unsorted)) % 0.41/0.60 (define @t2 () (@var "Xx" $$unsorted)) % 0.41/0.60 (define @t3 () (_ tptp.in @t2)) % 0.41/0.60 (define @t4 () (_ @t3 @t1)) % 0.41/0.60 (define @t5 () (@var "A" $$unsorted)) % 0.41/0.60 (define @t6 () (_ @t3 @t5)) % 0.41/0.60 (define @t7 () (=> @t6 @t4)) % 0.41/0.60 (define @t8 () (_ (_ tptp.subset @t5) @t1)) % 0.41/0.60 (define @t9 () (@list @t5 @t1 @t2)) % 0.41/0.60 (define @t10 () (forall @t9 (=> @t8 @t7))) % 0.41/0.60 (define @t11 () (= tptp.subsetE @t10)) % 0.41/0.60 (define @t12 () (@var "Xy" $$unsorted)) % 0.41/0.60 (define @t13 () (_ (_ tptp.kpair @t2) @t12)) % 0.41/0.60 (define @t14 () (@var "Xu" $$unsorted)) % 0.41/0.60 (define @t15 () (= @t14 @t13)) % 0.41/0.60 (define @t16 () (_ (_ tptp.in @t12) @t1)) % 0.41/0.60 (define @t17 () (and @t16 @t15)) % 0.41/0.60 (define @t18 () (@list @t12)) % 0.41/0.60 (define @t19 () (exists @t18 @t17)) % 0.41/0.60 (define @t20 () (and @t6 @t19)) % 0.41/0.60 (define @t21 () (@list @t2)) % 0.41/0.60 (define @t22 () (exists @t21 @t20)) % 0.41/0.60 (define @t23 () (_ (_ tptp.cartprod @t5) @t1)) % 0.41/0.60 (define @t24 () (_ tptp.in @t14)) % 0.41/0.60 (define @t25 () (_ @t24 @t23)) % 0.41/0.60 (define @t26 () (=> @t25 @t22)) % 0.41/0.60 (define @t27 () (@list @t5 @t1 @t14)) % 0.41/0.60 (define @t28 () (forall @t27 @t26)) % 0.41/0.60 (define @t29 () (= tptp.cartprodmempair1 @t28)) % 0.41/0.60 (define @t30 () (@var "Xphi" (-> $$unsorted Bool))) % 0.41/0.60 (define @t31 () (_ @t30 @t2)) % 0.41/0.60 (define @t32 () (@var "R" $$unsorted)) % 0.41/0.60 (define @t33 () (_ @t3 @t32)) % 0.41/0.60 (define @t34 () (forall @t21 (=> @t33 @t31))) % 0.41/0.60 (define @t35 () (_ @t30 @t13)) % 0.41/0.60 (define @t36 () (_ (_ tptp.in @t13) @t32)) % 0.41/0.60 (define @t37 () (=> @t36 @t35)) % 0.41/0.60 (define @t38 () (forall @t18 (=> @t16 @t37))) % 0.41/0.60 (define @t39 () (=> @t6 @t38)) % 0.41/0.60 (define @t40 () (forall @t21 @t39)) % 0.41/0.60 (define @t41 () (=> @t40 @t34)) % 0.41/0.60 (define @t42 () (@list @t30)) % 0.41/0.60 (define @t43 () (forall @t42 @t41)) % 0.41/0.60 (define @t44 () (=> (_ (_ (_ tptp.breln @t5) @t1) @t32) @t43)) % 0.41/0.60 (define @t45 () (@list @t5 @t1 @t32)) % 0.41/0.60 (define @t46 () (forall @t45 @t44)) % 0.41/0.60 (define @t47 () (=> tptp.cartprodmempair1 @t46)) % 0.41/0.60 (define @t48 () (=> tptp.subsetE @t47)) % 0.41/0.60 (define @t49 () (not @t48)) % 0.41/0.60 (define @t50 () (@var "C" $$unsorted)) % 0.41/0.60 (define @t51 () (_ (_ tptp.subset @t50) @t23)) % 0.41/0.60 (define @t52 () (lambda (@list @t5 @t1 @t50) @t51)) % 0.41/0.60 (define @t53 () (@var "BOUND_VARIABLE_7636" $$unsorted)) % 0.41/0.60 (define @t54 () (@var "BOUND_VARIABLE_7634" (-> $$unsorted Bool))) % 0.41/0.60 (define @t55 () (_ @t54 @t53)) % 0.41/0.60 (define @t56 () (not (tptp.in @t53 @t32))) % 0.41/0.60 (define @t57 () (@var "BOUND_VARIABLE_7586" $$unsorted)) % 0.41/0.60 (define @t58 () (tptp.kpair @t2 @t57)) % 0.41/0.60 (define @t59 () (not (tptp.in @t58 @t32))) % 0.41/0.60 (define @t60 () (not (tptp.in @t57 @t1))) % 0.41/0.60 (define @t61 () (tptp.in @t2 @t5)) % 0.41/0.60 (define @t62 () (not @t61)) % 0.41/0.60 (define @t63 () (@list @t2 @t57)) % 0.41/0.60 (define @t64 () (not (forall @t63 (or @t62 @t60 @t59 (_ @t54 @t58))))) % 0.41/0.60 (define @t65 () (tptp.cartprod @t5 @t1)) % 0.41/0.60 (define @t66 () (tptp.subset @t32 @t65)) % 0.41/0.60 (define @t67 () (not @t66)) % 0.41/0.60 (define @t68 () (or @t67 @t64 @t56 @t55)) % 0.41/0.60 (define @t69 () (@list @t5 @t1 @t32 @t54 @t53)) % 0.41/0.60 (define @t70 () (forall @t69 @t68)) % 0.41/0.60 (define @t71 () (@var "BOUND_VARIABLE_7523" $$unsorted)) % 0.41/0.60 (define @t72 () (tptp.kpair @t2 @t71)) % 0.41/0.60 (define @t73 () (not (= @t14 @t72))) % 0.41/0.60 (define @t74 () (not (tptp.in @t71 @t1))) % 0.41/0.60 (define @t75 () (or @t62 @t74 @t73)) % 0.41/0.60 (define @t76 () (@list @t2 @t71)) % 0.41/0.60 (define @t77 () (not (forall @t76 @t75))) % 0.41/0.60 (define @t78 () (tptp.in @t14 @t65)) % 0.41/0.60 (define @t79 () (not @t25)) % 0.41/0.60 (define @t80 () (or @t79 @t77)) % 0.41/0.60 (define @t81 () (or @t74 @t73)) % 0.41/0.60 (define @t82 () (or @t62 @t81)) % 0.41/0.60 (define @t83 () (forall @t76 @t82)) % 0.41/0.60 (define @t84 () (@list @t71)) % 0.41/0.60 (define @t85 () (forall @t84 @t82)) % 0.41/0.60 (define @t86 () (forall @t84 @t81)) % 0.41/0.60 (define @t87 () (@list @t12)) % 0.41/0.60 (define @t88 () (or @t62 @t86)) % 0.41/0.60 (define @t89 () (tptp.kpair @t2 @t12)) % 0.41/0.60 (define @t90 () (tptp.in @t12 @t1)) % 0.41/0.60 (define @t91 () (not @t90)) % 0.41/0.60 (define @t92 () (forall @t18 (or @t91 (not (= @t14 @t89))))) % 0.41/0.60 (define @t93 () (not @t6)) % 0.41/0.60 (define @t94 () (or @t93 @t92)) % 0.41/0.60 (define @t95 () (not @t92)) % 0.41/0.60 (define @t96 () (and @t6 @t95)) % 0.41/0.60 (define @t97 () (forall @t21 (not @t96))) % 0.41/0.60 (define @t98 () (not @t97)) % 0.41/0.60 (define @t99 () (not @t15)) % 0.41/0.60 (define @t100 () (not @t16)) % 0.41/0.60 (define @t101 () (or @t100 @t99)) % 0.41/0.60 (define @t102 () (forall @t18 (not @t17))) % 0.41/0.60 (define @t103 () (not @t102)) % 0.41/0.60 (define @t104 () (=> tptp.cartprodmempair1 @t70)) % 0.41/0.60 (define @t105 () (tptp.in @t2 @t1)) % 0.41/0.60 (define @t106 () (tptp.subset @t5 @t1)) % 0.41/0.60 (define @t107 () (not @t8)) % 0.41/0.60 (define @t108 () (or @t107 @t93 @t4)) % 0.41/0.60 (define @t109 () (=> tptp.subsetE @t104)) % 0.41/0.60 (define @t110 () (or @t64 @t56 @t55)) % 0.41/0.60 (define @t111 () (or @t67 @t110)) % 0.41/0.60 (define @t112 () (forall @t69 @t111)) % 0.41/0.60 (define @t113 () (@list @t54 @t53)) % 0.41/0.60 (define @t114 () (forall @t113 @t111)) % 0.41/0.60 (define @t115 () (forall @t113 @t110)) % 0.41/0.60 (define @t116 () (@var "BOUND_VARIABLE_7613" $$unsorted)) % 0.41/0.60 (define @t117 () (or @t67 @t115)) % 0.41/0.60 (define @t118 () (_ @t30 @t116)) % 0.41/0.60 (define @t119 () (not (tptp.in @t116 @t32))) % 0.41/0.60 (define @t120 () (_ @t30 @t58)) % 0.41/0.60 (define @t121 () (or @t62 @t60 @t59 @t120)) % 0.41/0.60 (define @t122 () (forall @t63 @t121)) % 0.41/0.60 (define @t123 () (not @t122)) % 0.41/0.60 (define @t124 () (or @t123 @t119 @t118)) % 0.41/0.60 (define @t125 () (@list @t30 @t116)) % 0.41/0.60 (define @t126 () (forall @t125 @t124)) % 0.41/0.60 (define @t127 () (_ tptp.subset @t32)) % 0.41/0.60 (define @t128 () (_ @t127 @t23)) % 0.41/0.60 (define @t129 () (not @t128)) % 0.41/0.60 (define @t130 () (or @t129 @t126)) % 0.41/0.60 (define @t131 () (or @t119 @t118)) % 0.41/0.60 (define @t132 () (or @t123 @t131)) % 0.41/0.60 (define @t133 () (forall @t125 @t132)) % 0.41/0.60 (define @t134 () (@list @t116)) % 0.41/0.60 (define @t135 () (forall @t134 @t132)) % 0.41/0.60 (define @t136 () (forall @t134 @t131)) % 0.41/0.60 (define @t137 () (or @t123 @t136)) % 0.41/0.60 (define @t138 () (_ @t30 @t2)) % 0.41/0.60 (define @t139 () (tptp.in @t2 @t32)) % 0.41/0.60 (define @t140 () (forall @t21 (or (not @t139) @t138))) % 0.41/0.60 (define @t141 () (not @t33)) % 0.41/0.60 (define @t142 () (or @t141 @t31)) % 0.41/0.61 (define @t143 () (or @t60 @t59 @t120)) % 0.41/0.61 (define @t144 () (or @t62 @t143)) % 0.41/0.61 (define @t145 () (forall @t63 @t144)) % 0.41/0.61 (define @t146 () (@list @t57)) % 0.41/0.61 (define @t147 () (forall @t146 @t144)) % 0.41/0.61 (define @t148 () (forall @t146 @t143)) % 0.41/0.61 (define @t149 () (or @t62 @t148)) % 0.41/0.61 (define @t150 () (_ @t30 @t89)) % 0.41/0.61 (define @t151 () (tptp.in @t89 @t32)) % 0.41/0.61 (define @t152 () (forall @t18 (or @t91 (not @t151) @t150))) % 0.41/0.61 (define @t153 () (or @t93 @t152)) % 0.41/0.61 (define @t154 () (not @t36)) % 0.41/0.61 (define @t155 () (or @t100 @t154 @t35)) % 0.41/0.61 (define @t156 () (lambda (@list @t50) @t51)) % 0.41/0.61 (define @t157 () (lambda (@list @t1 @t50) @t51)) % 0.41/0.61 (define @t158 () (_ @t52 @t5)) % 0.41/0.61 (define @t159 () (=> (_ (_ @t158 @t1) @t32) @t43)) % 0.41/0.61 (define @t160 () (forall @t45 @t159)) % 0.41/0.61 (define @t161 () (=> tptp.cartprodmempair1 @t160)) % 0.41/0.61 (define @t162 () (=> tptp.subsetE @t161)) % 0.41/0.61 (define @t163 () (@quantifiers_skolemize @t70 3)) % 0.41/0.61 (define @t164 () (@quantifiers_skolemize @t70 2)) % 0.41/0.61 (define @t165 () (@quantifiers_skolemize @t70 1)) % 0.41/0.61 (define @t166 () (@quantifiers_skolemize @t70 0)) % 0.41/0.61 (define @t167 () (not (tptp.in @t2 @t166))) % 0.41/0.61 (define @t168 () (forall @t63 (or @t167 (not (tptp.in @t57 @t165)) (not (tptp.in @t58 @t164)) (_ @t163 @t58)))) % 0.41/0.61 (define @t169 () (@quantifiers_skolemize @t70 4)) % 0.41/0.61 (define @t170 () (_ @t163 @t169)) % 0.41/0.61 (define @t171 () (tptp.in @t169 @t164)) % 0.41/0.61 (define @t172 () (not @t171)) % 0.41/0.61 (define @t173 () (not @t168)) % 0.41/0.61 (define @t174 () (tptp.cartprod @t166 @t165)) % 0.41/0.61 (define @t175 () (tptp.subset @t164 @t174)) % 0.41/0.61 (define @t176 () (not @t175)) % 0.41/0.61 (define @t177 () (or @t176 @t173 @t172 @t170)) % 0.41/0.61 (define @t178 () (@list true)) % 0.41/0.61 (define @t179 () (@list @t177)) % 0.41/0.61 (define @t180 () (not (= @t169 @t72))) % 0.41/0.61 (define @t181 () (not (tptp.in @t71 @t165))) % 0.41/0.61 (define @t182 () (or @t167 @t181 @t180)) % 0.41/0.61 (define @t183 () (forall @t76 @t182)) % 0.41/0.61 (define @t184 () (not @t183)) % 0.41/0.61 (define @t185 () (tptp.in @t169 @t174)) % 0.41/0.61 (define @t186 () (not @t185)) % 0.41/0.61 (define @t187 () (or @t186 @t184)) % 0.41/0.61 (define @t188 () (forall @t27 (or (not @t78) @t77))) % 0.41/0.61 (define @t189 () (forall @t76 (or @t167 @t181 (not (= @t72 @t169))))) % 0.41/0.61 (define @t190 () (not @t189)) % 0.41/0.61 (define @t191 () (or @t186 @t190)) % 0.41/0.61 (define @t192 () (or @t176 @t172 @t185)) % 0.41/0.61 (define @t193 () (@quantifiers_skolemize @t189 1)) % 0.41/0.61 (define @t194 () (@quantifiers_skolemize @t189 0)) % 0.41/0.61 (define @t195 () (tptp.kpair @t194 @t193)) % 0.41/0.61 (define @t196 () (= @t169 @t195)) % 0.41/0.61 (define @t197 () (not @t196)) % 0.41/0.61 (define @t198 () (tptp.in @t193 @t165)) % 0.41/0.61 (define @t199 () (not @t198)) % 0.41/0.61 (define @t200 () (tptp.in @t194 @t166)) % 0.41/0.61 (define @t201 () (not @t200)) % 0.41/0.61 (define @t202 () (or @t201 @t199 @t197)) % 0.41/0.61 (define @t203 () (not @t202)) % 0.41/0.61 (define @t204 () (not (= @t195 @t169))) % 0.41/0.61 (define @t205 () (or @t201 @t199 @t204)) % 0.41/0.61 (define @t206 () (not @t205)) % 0.41/0.61 (define @t207 () (@list @t202)) % 0.41/0.61 (define @t208 () (_ @t163 @t195)) % 0.41/0.61 (define @t209 () (tptp.in @t195 @t164)) % 0.41/0.61 (define @t210 () (not @t209)) % 0.41/0.61 (define @t211 () (or @t201 @t199 @t210 @t208)) % 0.41/0.61 (define @t212 () (not @t211)) % 0.41/0.61 (assume @p1 @t11) % 0.41/0.61 (assume @p2 @t29) % 0.41/0.61 (assume @p3 @t49) % 0.41/0.61 (assume @p4 true) % 0.41/0.61 (step @p5 (= tptp.breln @t52) :rule refl :args (@t52)) % 0.41/0.61 (step @p6 :rule refl :args (@t70)) % 0.41/0.61 (step @p7 :rule refl :args (@t77)) % 0.41/0.61 (step @p8 :rule refl :args ((tptp.in @t14 @t23))) % 0.41/0.61 (step @p9 :rule refl :args (@t65)) % 0.41/0.61 (step @p10 :rule refl :args (@t14)) % 0.41/0.61 (step @p11 :rule cong :premises (@p10 @p9) :args (@t78)) % 0.41/0.61 (step @p12 :rule trans :premises (@p11 @p8)) % 0.41/0.61 (step @p13 :rule refl :args (@t24)) % 0.41/0.61 (step @p14 :rule ho_cong :premises (@p13 @p9)) % 0.41/0.61 (step @p15 :rule cong :premises (@p14 @p12) :args ((= (_ @t24 @t65) @t78))) % 0.41/0.61 (step @p16 :rule symm :premises (@p15)) % 0.41/0.61 (step @p17 :rule refl :args (@t25)) % 0.41/0.61 (step @p18 :rule eq_resolve :premises (@p17 @p16)) % 0.41/0.61 (step @p19 :rule refl :args (@t23)) % 0.41/0.61 (step @p20 :rule cong :premises (@p19 @p9) :args ((= @t23 @t65))) % 0.41/0.61 (step @p21 :rule symm :premises (@p20)) % 0.41/0.61 (step @p22 :rule eq_resolve :premises (@p19 @p21)) % 0.41/0.61 (step @p23 :rule ho_cong :premises (@p13 @p22)) % 0.41/0.61 (step @p24 :rule trans :premises (@p23 @p18)) % 0.41/0.61 (step @p25 :rule cong :premises (@p24) :args (@t79)) % 0.41/0.61 (step @p26 :rule nary_cong :premises (@p25 @p7) :args (@t80)) % 0.41/0.61 (step @p27 :rule cong :premises (@p26) :args ((forall @t27 @t80))) % 0.41/0.61 (step @p28 :rule bool-impl-elim :args (@t25 @t77)) % 0.41/0.61 (step @p29 :rule cong :premises (@p28) :args ((forall @t27 (=> @t25 @t77)))) % 0.41/0.61 (step @p30 :rule trans :premises (@p29 @p27)) % 0.41/0.61 (step @p31 :rule aci_norm 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0.41/0.61 (step @p304 :rule implies_elim :premises (@p303)) % 0.41/0.61 (step @p305 :rule chain_m_resolution :premises (@p304 @p287) :args (@t191 (@list false) (@list @t188))) % 0.41/0.61 (step @p306 :rule not_implies_elim1 :premises (@p273)) % 0.41/0.61 (step @p307 :rule instantiate :premises (@p306) :args ((@list @t164 @t174 @t169))) % 0.41/0.61 (step @p308 :rule bool-double-not-elim :args (@t171)) % 0.41/0.61 (step @p309 :rule nary_cong :premises (@p278 @p308) :args ((or @t177 (not @t172)))) % 0.41/0.61 (step @p310 :rule cnf_or_neg :args (@t177 2)) % 0.41/0.61 (step @p311 :rule eq_resolve :premises (@p310 @p309)) % 0.41/0.61 (step @p312 :rule reordering :premises (@p311) :args ((or @t171 @t177))) % 0.41/0.61 (step @p313 :rule chain_m_resolution :premises (@p312 @p276) :args (@t171 @t178 @t179)) % 0.41/0.61 (step @p314 :rule bool-double-not-elim :args (@t175)) % 0.41/0.61 (step @p315 :rule nary_cong :premises (@p278 @p314) :args ((or @t177 (not @t176)))) % 0.41/0.61 (step @p316 :rule cnf_or_neg :args (@t177 0)) % 0.41/0.61 (step @p317 :rule eq_resolve :premises (@p316 @p315)) % 0.41/0.61 (step @p318 :rule reordering :premises (@p317) :args ((or @t175 @t177))) % 0.41/0.61 (step @p319 :rule chain_m_resolution :premises (@p318 @p276) :args (@t175 @t178 @t179)) % 0.41/0.61 (step @p320 :rule cnf_or_pos :args (@t192)) % 0.41/0.61 (step @p321 :rule reordering :premises (@p320) :args ((or @t176 @t172 @t185 (not @t192)))) % 0.41/0.61 (step @p322 :rule chain_m_resolution :premises (@p321 @p319 @p313 @p307) :args (@t185 (@list false false false) (@list @t175 @t171 @t192))) % 0.41/0.61 (step @p323 :rule cnf_or_pos :args (@t191)) % 0.41/0.61 (step @p324 :rule reordering :premises (@p323) :args ((or @t186 @t190 (not @t191)))) % 0.41/0.61 (step @p325 :rule chain_m_resolution :premises (@p324 @p322 @p305) :args (@t190 (@list false false) (@list @t185 @t191))) % 0.41/0.61 (step @p326 :rule refl :args (@t203)) % 0.41/0.61 (step @p327 :rule bool-double-not-elim :args (@t189)) % 0.41/0.61 (step @p328 :rule nary_cong :premises (@p327 @p326) :args ((or (not @t190) @t203))) % 0.41/0.61 (step @p329 :rule eq-symm :args (@t195 @t169)) % 0.41/0.61 (step @p330 :rule cong :premises (@p329) :args (@t204)) % 0.41/0.61 (step @p331 :rule refl :args (@t199)) % 0.41/0.61 (step @p332 :rule refl :args (@t201)) % 0.41/0.61 (step @p333 :rule nary_cong :premises (@p332 @p331 @p330) :args (@t205)) % 0.41/0.61 (step @p334 :rule cong :premises (@p333) :args (@t206)) % 0.41/0.61 (step @p335 :rule refl :args (@t190)) % 0.41/0.61 (step @p336 :rule cong :premises (@p335 @p334) :args ((=> @t190 @t206))) % 0.41/0.61 (assume-push @p384 @t190) % 0.41/0.61 (step @p338 :rule skolemize :premises (@p325)) % 0.41/0.61 (step-pop @p385 :rule scope :premises (@p338)) % 0.41/0.61 (step @p339 :rule process_scope :premises (@p385) :args (@t206)) % 0.41/0.61 (step @p341 :rule eq_resolve :premises (@p339 @p336)) % 0.41/0.61 (step @p342 :rule implies_elim :premises (@p341)) % 0.41/0.61 (step @p343 :rule eq_resolve :premises (@p342 @p328)) % 0.41/0.61 (step @p344 :rule chain_m_resolution :premises (@p343 @p325) :args (@t203 @t178 (@list @t189))) % 0.41/0.61 (step @p345 :rule bool-double-not-elim :args (@t196)) % 0.41/0.61 (step @p346 :rule refl :args (@t202)) % 0.41/0.61 (step @p347 :rule nary_cong :premises (@p346 @p345) :args ((or @t202 (not @t197)))) % 0.41/0.61 (step @p348 :rule cnf_or_neg :args (@t202 2)) % 0.41/0.61 (step @p349 :rule eq_resolve :premises (@p348 @p347)) % 0.41/0.61 (step @p350 :rule reordering :premises (@p349) :args ((or @t196 @t202))) % 0.41/0.61 (step @p351 :rule chain_m_resolution :premises (@p350 @p344) :args (@t196 @t178 @t207)) % 0.41/0.61 (step @p352 :rule symm :premises (@p351)) % 0.41/0.61 (step @p353 :rule cong :premises (@p352) :args (@t208)) % 0.41/0.61 (step @p354 :rule trans :premises (@p353 @p286)) % 0.41/0.61 (step @p355 :rule false_elim :premises (@p354)) % 0.41/0.61 (step @p356 :rule true_intro :premises (@p313)) % 0.41/0.61 (step @p357 :rule refl :args (@t164)) % 0.41/0.61 (step @p358 :rule cong :premises (@p352 @p357) :args (@t209)) % 0.41/0.61 (step @p359 :rule trans :premises (@p358 @p356)) % 0.41/0.61 (step @p360 :rule true_elim :premises (@p359)) % 0.41/0.61 (step @p361 :rule bool-double-not-elim :args (@t198)) % 0.41/0.61 (step @p362 :rule nary_cong :premises (@p346 @p361) :args ((or @t202 (not @t199)))) % 0.41/0.61 (step @p363 :rule cnf_or_neg :args (@t202 1)) % 0.41/0.61 (step @p364 :rule eq_resolve :premises (@p363 @p362)) % 0.41/0.61 (step @p365 :rule reordering :premises (@p364) :args ((or @t198 @t202))) % 0.41/0.61 (step @p366 :rule chain_m_resolution :premises (@p365 @p344) :args (@t198 @t178 @t207)) % 0.41/0.61 (step @p367 :rule bool-double-not-elim :args (@t200)) % 0.41/0.61 (step @p368 :rule nary_cong :premises (@p346 @p367) :args ((or @t202 (not @t201)))) % 0.41/0.61 (step @p369 :rule cnf_or_neg :args (@t202 0)) % 0.41/0.61 (step @p370 :rule eq_resolve :premises (@p369 @p368)) % 0.41/0.61 (step @p371 :rule reordering :premises (@p370) :args ((or @t200 @t202))) % 0.41/0.61 (step @p372 :rule chain_m_resolution :premises (@p371 @p344) :args (@t200 @t178 @t207)) % 0.41/0.61 (step @p373 :rule cnf_or_pos :args (@t211)) % 0.41/0.61 (step @p374 :rule reordering :premises (@p373) :args ((or @t201 @t199 @t210 @t208 @t212))) % 0.41/0.61 (step @p375 :rule chain_m_resolution :premises (@p374 @p372 @p366 @p360 @p355) :args (@t212 (@list false false false true) (@list @t200 @t198 @t209 @t208))) % 0.41/0.61 (assume-push @p386 @t168) % 0.41/0.61 (step @p377 :rule instantiate :premises (@p283) :args ((@list @t194 @t193))) % 0.41/0.61 (step-pop @p387 :rule scope :premises (@p377)) % 0.41/0.61 (step @p378 :rule process_scope :premises (@p387) :args (@t211)) % 0.41/0.61 (step @p380 :rule implies_elim :premises (@p378)) % 0.41/0.61 (step @p381 false :rule chain_m_resolution :premises (@p380 @p375 @p283) :args (false (@list true false) (@list @t211 @t168))) % 0.41/0.61 ) % 0.41/0.61 % SZS output end Proof % 0.41/0.61 % cvc5 exiting %------------------------------------------------------------------------------