%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : MSC025^2 : TPTP v9.2.1. Released v5.5.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/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 08:36:07 AM UTC 2026 % Result : Theorem 0.44s 0.68s % Output : Proof 0.44s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : MSC025^2 : TPTP v9.2.1. Released v5.5.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n006.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 09:45:49 EDT 2026 % 0.17/0.34 % CPUTime : % 0.30/0.48 %----Proving TH0 % 0.44/0.68 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.44/0.68 % SZS status Theorem % 0.44/0.68 % SZS output start Proof % 0.44/0.68 ( % 0.44/0.68 (declare-sort $$unsorted 0) % 0.44/0.68 (declare-const tptp.b2 (-> Bool $$unsorted)) % 0.44/0.68 (declare-const tptp.b1 (-> Bool $$unsorted)) % 0.44/0.68 (declare-const tptp.one $$unsorted) % 0.44/0.68 (declare-const tptp.two $$unsorted) % 0.44/0.68 (define @t1 () (@var "X" $$unsorted)) % 0.44/0.68 (define @t2 () (or (= @t1 tptp.one) (= @t1 tptp.two))) % 0.44/0.68 (define @t3 () (@list @t1)) % 0.44/0.68 (define @t4 () (forall @t3 @t2)) % 0.44/0.68 (define @t5 () (@var "X" Bool)) % 0.44/0.68 (define @t6 () (_ tptp.b1 @t5)) % 0.44/0.68 (define @t7 () (not @t5)) % 0.44/0.68 (define @t8 () (=> @t7 (= @t6 tptp.two))) % 0.44/0.68 (define @t9 () (=> @t5 (= @t6 tptp.one))) % 0.44/0.68 (define @t10 () (and @t9 @t8)) % 0.44/0.68 (define @t11 () (@list @t5)) % 0.44/0.68 (define @t12 () (forall @t11 @t10)) % 0.44/0.68 (define @t13 () (_ tptp.b2 @t5)) % 0.44/0.68 (define @t14 () (=> @t7 (= @t13 tptp.one))) % 0.44/0.68 (define @t15 () (=> @t5 (= @t13 tptp.two))) % 0.44/0.68 (define @t16 () (and @t15 @t14)) % 0.44/0.68 (define @t17 () (forall @t11 @t16)) % 0.44/0.68 (define @t18 () (@var "F" (-> Bool $$unsorted))) % 0.44/0.68 (define @t19 () (or (= @t18 tptp.b1) (= @t18 tptp.b2))) % 0.44/0.68 (define @t20 () (_ @t18 @t7)) % 0.44/0.68 (define @t21 () (_ @t18 @t5)) % 0.44/0.68 (define @t22 () (= @t21 @t20)) % 0.44/0.68 (define @t23 () (not @t22)) % 0.44/0.68 (define @t24 () (forall @t11 @t23)) % 0.44/0.68 (define @t25 () (=> @t24 @t19)) % 0.44/0.68 (define @t26 () (@list @t18)) % 0.44/0.68 (define @t27 () (forall @t26 @t25)) % 0.44/0.68 (define @t28 () (not @t27)) % 0.44/0.68 (define @t29 () (@purify false)) % 0.44/0.68 (define @t30 () (not @t29)) % 0.44/0.68 (define @t31 () (tptp.b2 false)) % 0.44/0.68 (define @t32 () (@purify true)) % 0.44/0.68 (define @t33 () (tptp.b1 true)) % 0.44/0.68 (define @t34 () (= @t33 @t31)) % 0.44/0.68 (define @t35 () (tptp.b2 true)) % 0.44/0.68 (define @t36 () (tptp.b1 false)) % 0.44/0.68 (define @t37 () (= @t36 @t35)) % 0.44/0.68 (define @t38 () (= tptp.two @t36)) % 0.44/0.68 (define @t39 () (or false @t38)) % 0.44/0.68 (define @t40 () (@var "BOUND_VARIABLE_7472" Bool)) % 0.44/0.68 (define @t41 () (tptp.b1 @t40)) % 0.44/0.68 (define @t42 () (= tptp.two @t41)) % 0.44/0.68 (define @t43 () (@list @t40)) % 0.44/0.68 (define @t44 () (or @t40 @t40 @t42)) % 0.44/0.68 (define @t45 () (or @t40 @t42)) % 0.44/0.68 (define @t46 () (_ tptp.b1 @t40)) % 0.44/0.68 (define @t47 () (= tptp.two @t46)) % 0.44/0.68 (define @t48 () (or @t40 @t47)) % 0.44/0.68 (define @t49 () (forall @t43 @t48)) % 0.44/0.68 (define @t50 () (= tptp.one @t33)) % 0.44/0.68 (define @t51 () (not true)) % 0.44/0.68 (define @t52 () (or @t51 @t50)) % 0.44/0.68 (define @t53 () (@var "BOUND_VARIABLE_7464" Bool)) % 0.44/0.68 (define @t54 () (tptp.b1 @t53)) % 0.44/0.68 (define @t55 () (= tptp.one @t54)) % 0.44/0.68 (define @t56 () (not @t53)) % 0.44/0.68 (define @t57 () (@list @t53)) % 0.44/0.68 (define @t58 () (or @t56 @t56 @t55)) % 0.44/0.68 (define @t59 () (or @t56 @t55)) % 0.44/0.68 (define @t60 () (_ tptp.b1 @t53)) % 0.44/0.68 (define @t61 () (= tptp.one @t60)) % 0.44/0.68 (define @t62 () (or @t56 @t61)) % 0.44/0.68 (define @t63 () (forall @t57 @t62)) % 0.44/0.68 (define @t64 () (= tptp.two @t6)) % 0.44/0.68 (define @t65 () (or @t5 @t64)) % 0.44/0.68 (define @t66 () (forall @t11 @t65)) % 0.44/0.68 (define @t67 () (@list @t5)) % 0.44/0.68 (define @t68 () (= tptp.one @t6)) % 0.44/0.68 (define @t69 () (or @t7 @t68)) % 0.44/0.68 (define @t70 () (forall @t11 @t69)) % 0.44/0.68 (define @t71 () (and @t70 @t66)) % 0.44/0.68 (define @t72 () (not @t7)) % 0.44/0.68 (define @t73 () (and (=> @t5 @t68) (=> @t7 @t64))) % 0.44/0.68 (define @t74 () (= tptp.one @t31)) % 0.44/0.68 (define @t75 () (= tptp.two @t35)) % 0.44/0.68 (define @t76 () (or false @t74)) % 0.44/0.68 (define @t77 () (@var "BOUND_VARIABLE_7516" Bool)) % 0.44/0.68 (define @t78 () (tptp.b2 @t77)) % 0.44/0.68 (define @t79 () (= tptp.one @t78)) % 0.44/0.68 (define @t80 () (@list @t77)) % 0.44/0.68 (define @t81 () (or @t77 @t77 @t79)) % 0.44/0.68 (define @t82 () (or @t77 @t79)) % 0.44/0.68 (define @t83 () (_ tptp.b2 @t77)) % 0.44/0.68 (define @t84 () (= tptp.one @t83)) % 0.44/0.68 (define @t85 () (or @t77 @t84)) % 0.44/0.68 (define @t86 () (forall @t80 @t85)) % 0.44/0.68 (define @t87 () (or @t51 @t75)) % 0.44/0.68 (define @t88 () (@var "BOUND_VARIABLE_7508" Bool)) % 0.44/0.68 (define @t89 () (tptp.b2 @t88)) % 0.44/0.68 (define @t90 () (= tptp.two @t89)) % 0.44/0.68 (define @t91 () (not @t88)) % 0.44/0.68 (define @t92 () (@list @t88)) % 0.44/0.68 (define @t93 () (or @t91 @t91 @t90)) % 0.44/0.68 (define @t94 () (or @t91 @t90)) % 0.44/0.68 (define @t95 () (_ tptp.b2 @t88)) % 0.44/0.68 (define @t96 () (= tptp.two @t95)) % 0.44/0.68 (define @t97 () (or @t91 @t96)) % 0.44/0.68 (define @t98 () (forall @t92 @t97)) % 0.44/0.68 (define @t99 () (= tptp.one @t13)) % 0.44/0.68 (define @t100 () (or @t5 @t99)) % 0.44/0.68 (define @t101 () (forall @t11 @t100)) % 0.44/0.68 (define @t102 () (= tptp.two @t13)) % 0.44/0.68 (define @t103 () (or @t7 @t102)) % 0.44/0.68 (define @t104 () (forall @t11 @t103)) % 0.44/0.68 (define @t105 () (and @t104 @t101)) % 0.44/0.68 (define @t106 () (and (=> @t5 @t102) (=> @t7 @t99))) % 0.44/0.68 (define @t107 () (= tptp.b2 @t18)) % 0.44/0.68 (define @t108 () (= tptp.b1 @t18)) % 0.44/0.68 (define @t109 () (_ @t18 @t7)) % 0.44/0.68 (define @t110 () (_ @t18 @t5)) % 0.44/0.68 (define @t111 () (forall @t11 (not (= @t110 @t109)))) % 0.44/0.68 (define @t112 () (not @t111)) % 0.44/0.68 (define @t113 () (or @t112 @t108 @t107)) % 0.44/0.68 (define @t114 () (or @t108 @t107)) % 0.44/0.68 (define @t115 () (@quantifiers_skolemize (forall @t26 @t113) 0)) % 0.44/0.68 (define @t116 () (= tptp.b2 @t115)) % 0.44/0.68 (define @t117 () (= tptp.b1 @t115)) % 0.44/0.68 (define @t118 () (forall @t11 (not (= (_ @t115 @t5) (_ @t115 @t7))))) % 0.44/0.68 (define @t119 () (not @t118)) % 0.44/0.68 (define @t120 () (or @t119 @t117 @t116)) % 0.44/0.68 (define @t121 () (@list true)) % 0.44/0.68 (define @t122 () (@list @t120)) % 0.44/0.68 (define @t123 () (@const 0 Bool)) % 0.44/0.68 (define @t124 () (@purify @t123)) % 0.44/0.68 (define @t125 () (tptp.b2 @t124)) % 0.44/0.68 (define @t126 () (_ @t115 @t124)) % 0.44/0.68 (define @t127 () (_ @t115 @t123)) % 0.44/0.68 (define @t128 () (tptp.b2 @t123)) % 0.44/0.68 (define @t129 () (= @t128 @t127)) % 0.44/0.68 (define @t130 () (not @t129)) % 0.44/0.68 (define @t131 () (or @t116 @t130)) % 0.44/0.68 (define @t132 () (= @t126 @t125)) % 0.44/0.68 (define @t133 () (@const 1 Bool)) % 0.44/0.68 (define @t134 () (@purify @t133)) % 0.44/0.68 (define @t135 () (not @t134)) % 0.44/0.68 (define @t136 () (@purify @t135)) % 0.44/0.68 (define @t137 () (tptp.b1 @t134)) % 0.44/0.68 (define @t138 () (_ @t115 @t134)) % 0.44/0.68 (define @t139 () (_ @t115 @t133)) % 0.44/0.68 (define @t140 () (tptp.b1 @t133)) % 0.44/0.68 (define @t141 () (= @t140 @t139)) % 0.44/0.68 (define @t142 () (not @t141)) % 0.44/0.68 (define @t143 () (or @t117 @t142)) % 0.44/0.68 (define @t144 () (= @t138 @t137)) % 0.44/0.68 (define @t145 () (tptp.b1 @t32)) % 0.44/0.68 (define @t146 () (= @t145 @t138)) % 0.44/0.68 (define @t147 () (and @t32 @t134 @t146)) % 0.44/0.68 (define @t148 () (not @t146)) % 0.44/0.68 (define @t149 () (not @t32)) % 0.44/0.68 (define @t150 () (or (= @t33 @t1) (= @t36 @t1))) % 0.44/0.68 (define @t151 () (= tptp.two @t1)) % 0.44/0.68 (define @t152 () (= tptp.one @t1)) % 0.44/0.68 (define @t153 () (or @t152 @t151)) % 0.44/0.68 (define @t154 () (= @t36 @t138)) % 0.44/0.68 (define @t155 () (= @t33 @t138)) % 0.44/0.68 (define @t156 () (or @t155 @t154)) % 0.44/0.68 (define @t157 () (forall @t3 (or (= @t1 @t33) (= @t1 @t36)))) % 0.44/0.68 (define @t158 () (or (= @t138 @t33) (= @t138 @t36))) % 0.44/0.68 (define @t159 () (tptp.b1 @t29)) % 0.44/0.68 (define @t160 () (= @t159 @t138)) % 0.44/0.68 (define @t161 () (or @t146 @t160)) % 0.44/0.68 (define @t162 () (@list false)) % 0.44/0.68 (define @t163 () (@list @t157)) % 0.44/0.68 (define @t164 () (tptp.b2 @t32)) % 0.44/0.68 (define @t165 () (= @t159 @t164)) % 0.44/0.68 (define @t166 () (and @t32 @t165 @t134 @t124 @t160)) % 0.44/0.68 (define @t167 () (not @t160)) % 0.44/0.68 (define @t168 () (not @t124)) % 0.44/0.68 (define @t169 () (not @t165)) % 0.44/0.68 (define @t170 () (_ @t115 @t135)) % 0.44/0.68 (define @t171 () (= @t138 @t170)) % 0.44/0.68 (define @t172 () (not @t171)) % 0.44/0.68 (define @t173 () (@list @t134)) % 0.44/0.68 (define @t174 () (_ @t115 @t136)) % 0.44/0.68 (define @t175 () (= @t138 @t174)) % 0.44/0.68 (define @t176 () (not @t175)) % 0.44/0.68 (define @t177 () (= @t159 @t174)) % 0.44/0.68 (define @t178 () (not @t177)) % 0.44/0.68 (define @t179 () (not @t176)) % 0.44/0.68 (define @t180 () (and @t176 @t160)) % 0.44/0.68 (define @t181 () (= @t36 @t174)) % 0.44/0.68 (define @t182 () (= @t33 @t174)) % 0.44/0.68 (define @t183 () (or @t182 @t181)) % 0.44/0.68 (define @t184 () (or (= @t174 @t33) (= @t174 @t36))) % 0.44/0.68 (define @t185 () (= @t145 @t174)) % 0.44/0.68 (define @t186 () (or @t185 @t177)) % 0.44/0.68 (define @t187 () (not @t185)) % 0.44/0.68 (define @t188 () (tptp.b2 @t29)) % 0.44/0.68 (define @t189 () (= @t145 @t188)) % 0.44/0.68 (define @t190 () (not @t189)) % 0.44/0.68 (define @t191 () (not @t136)) % 0.44/0.68 (define @t192 () (not @t168)) % 0.44/0.68 (define @t193 () (not @t30)) % 0.44/0.68 (define @t194 () (and @t30 @t189 @t168 @t191 @t185)) % 0.44/0.68 (define @t195 () (not @t135)) % 0.44/0.68 (define @t196 () (and @t30 @t135 @t160)) % 0.44/0.68 (define @t197 () (@list true false)) % 0.44/0.68 (define @t198 () (and @t189 @t146 @t185 @t176)) % 0.44/0.68 (define @t199 () (and @t32 @t165 @t124 @t136 @t177)) % 0.44/0.68 (define @t200 () (and @t30 @t189 @t135 @t168 @t146)) % 0.44/0.68 (assume @p1 @t4) % 0.44/0.68 (assume @p2 (not (= tptp.one tptp.two))) % 0.44/0.68 (assume @p3 @t12) % 0.44/0.68 (assume @p4 @t17) % 0.44/0.68 (assume @p5 @t28) % 0.44/0.68 (assume @p6 true) % 0.44/0.68 (step @p7 :rule evaluate :args ((not false))) % 0.44/0.68 (step @p8 :rule skolem_intro :args (@t29)) % 0.44/0.68 (step @p9 :rule cong :premises (@p8) :args (@t30)) % 0.44/0.68 (step @p10 :rule bool-eq-false :args (@t29)) % 0.44/0.68 (step @p11 :rule eq-symm :args (false @t29)) % 0.44/0.68 (step @p12 :rule trans :premises (@p11 @p10)) % 0.44/0.68 (step @p13 :rule trans :premises (@p12 @p9 @p7)) % 0.44/0.68 (step @p14 :rule true_elim :premises (@p13)) % 0.44/0.68 (step @p15 :rule cong :premises (@p14) :args (@t31)) % 0.44/0.68 (step @p16 :rule skolem_intro :args (@t32)) % 0.44/0.68 (step @p17 :rule symm :premises (@p16)) % 0.44/0.68 (step @p18 :rule cong :premises (@p17) :args (@t33)) % 0.44/0.68 (step @p19 :rule cong :premises (@p18 @p15) :args (@t34)) % 0.44/0.68 (step @p20 :rule cong :premises (@p17) :args (@t35)) % 0.44/0.68 (step @p21 :rule cong :premises (@p14) :args (@t36)) % 0.44/0.68 (step @p22 :rule cong :premises (@p21 @p20) :args (@t37)) % 0.44/0.68 (step @p23 :rule nary_cong :premises (@p22 @p19) :args ((and @t37 @t34))) % 0.44/0.68 (step @p24 :rule refl :args (@t31)) % 0.44/0.68 (step @p25 :rule aci_norm :args ((= @t39 @t38))) % 0.44/0.68 (step @p26 :rule quant-var-elim-eq :args ((= (forall @t43 (or (not (= @t40 false)) @t40 @t42)) @t39))) % 0.44/0.68 (step @p27 :rule refl :args (@t42)) % 0.44/0.68 (step @p28 :rule refl :args (@t40)) % 0.44/0.68 (step @p29 :rule bool-eq-false :args (@t40)) % 0.44/0.68 (step @p30 :rule symm :premises (@p29)) % 0.44/0.68 (step @p31 :rule cong :premises (@p30) :args ((not (not @t40)))) % 0.44/0.68 (step @p32 :rule bool-double-not-elim :args (@t40)) % 0.44/0.68 (step @p33 :rule symm :premises (@p32)) % 0.44/0.68 (step @p34 :rule trans :premises (@p33 @p31)) % 0.44/0.68 (step @p35 :rule nary_cong :premises (@p34 @p28 @p27) :args (@t44)) % 0.44/0.68 (step @p36 :rule aci_norm :args ((= @t45 @t44))) % 0.44/0.68 (step @p37 :rule trans :premises (@p36 @p35)) % 0.44/0.68 (step @p38 :rule cong :premises (@p37) :args ((forall @t43 @t45))) % 0.44/0.68 (step @p39 :rule trans :premises (@p38 @p26)) % 0.44/0.68 (step @p40 :rule trans :premises (@p39 @p25)) % 0.44/0.68 (step @p41 :rule refl :args (@t41)) % 0.44/0.68 (step @p42 :rule refl :args (@t46)) % 0.44/0.68 (step @p43 :rule cong :premises (@p42 @p41) :args ((= @t46 @t41))) % 0.44/0.68 (step @p44 :rule symm :premises (@p43)) % 0.44/0.68 (step @p45 :rule eq_resolve :premises (@p42 @p44)) % 0.44/0.68 (step @p46 :rule refl :args (tptp.two)) % 0.44/0.68 (step @p47 :rule cong :premises (@p46 @p45) :args (@t47)) % 0.44/0.68 (step @p48 :rule nary_cong :premises (@p28 @p47) :args (@t48)) % 0.44/0.68 (step @p49 :rule cong :premises (@p48) :args (@t49)) % 0.44/0.68 (step @p50 :rule trans :premises (@p49 @p40)) % 0.44/0.68 (step @p51 :rule aci_norm :args ((= (or false @t50) @t50))) % 0.44/0.68 (step @p52 :rule refl :args (@t50)) % 0.44/0.68 (step @p53 :rule evaluate :args (@t51)) % 0.44/0.68 (step @p54 :rule nary_cong :premises (@p53 @p52) :args (@t52)) % 0.44/0.68 (step @p55 :rule trans :premises (@p54 @p51)) % 0.44/0.68 (step @p56 :rule quant-var-elim-eq :args ((= (forall @t57 (or (not (= @t53 true)) @t56 @t55)) @t52))) % 0.44/0.68 (step @p57 :rule refl :args (@t55)) % 0.44/0.68 (step @p58 :rule refl :args (@t56)) % 0.44/0.68 (step @p59 :rule bool-eq-true :args (@t53)) % 0.44/0.68 (step @p60 :rule symm :premises (@p59)) % 0.44/0.68 (step @p61 :rule cong :premises (@p60) :args (@t56)) % 0.44/0.68 (step @p62 :rule nary_cong :premises (@p61 @p58 @p57) :args (@t58)) % 0.44/0.68 (step @p63 :rule aci_norm :args ((= @t59 @t58))) % 0.44/0.68 (step @p64 :rule trans :premises (@p63 @p62)) % 0.44/0.68 (step @p65 :rule cong :premises (@p64) :args ((forall @t57 @t59))) % 0.44/0.68 (step @p66 :rule trans :premises (@p65 @p56)) % 0.44/0.68 (step @p67 :rule trans :premises (@p66 @p55)) % 0.44/0.68 (step @p68 :rule refl :args (@t54)) % 0.44/0.68 (step @p69 :rule refl :args (@t60)) % 0.44/0.68 (step @p70 :rule cong :premises (@p69 @p68) :args ((= @t60 @t54))) % 0.44/0.68 (step @p71 :rule symm :premises (@p70)) % 0.44/0.68 (step @p72 :rule eq_resolve :premises (@p69 @p71)) % 0.44/0.68 (step @p73 :rule refl :args (tptp.one)) % 0.44/0.68 (step @p74 :rule cong :premises (@p73 @p72) :args (@t61)) % 0.44/0.68 (step @p75 :rule nary_cong :premises (@p58 @p74) :args (@t62)) % 0.44/0.68 (step @p76 :rule cong :premises (@p75) :args (@t63)) % 0.44/0.68 (step @p77 :rule trans :premises (@p76 @p67)) % 0.44/0.68 (step @p78 :rule nary_cong :premises (@p77 @p50) :args ((and @t63 @t49))) % 0.44/0.68 (step @p79 :rule alpha_equiv :args (@t66 @t67 (@list @t40))) % 0.44/0.68 (step @p80 :rule alpha_equiv :args (@t70 @t67 (@list @t53))) % 0.44/0.68 (step @p81 :rule nary_cong :premises (@p80 @p79) :args (@t71)) % 0.44/0.68 (step @p82 :rule quant-miniscope-and :args ((= (forall @t11 (and @t69 @t65)) @t71))) % 0.44/0.68 (step @p83 :rule trans :premises (@p82 @p81)) % 0.44/0.68 (step @p84 :rule trans :premises (@p83 @p78)) % 0.44/0.68 (step @p85 :rule refl :args (@t64)) % 0.44/0.68 (step @p86 :rule bool-double-not-elim :args (@t5)) % 0.44/0.68 (step @p87 :rule nary_cong :premises (@p86 @p85) :args ((or @t72 @t64))) % 0.44/0.68 (step @p88 :rule bool-impl-elim :args (@t7 @t64)) % 0.44/0.68 (step @p89 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0.44/0.69 (step @p559 :rule process_scope :premises (@p727) :args (@t132)) % 0.44/0.69 (step @p565 :rule and_intro :premises (@p715 @p235 @p317 @p717 @p716)) % 0.44/0.69 (step @p566 :rule modus_ponens :premises (@p565 @p559)) % 0.44/0.69 (step-pop @p728 :rule scope :premises (@p566)) % 0.44/0.69 (step-pop @p729 :rule scope :premises (@p728)) % 0.44/0.69 (step-pop @p730 :rule scope :premises (@p729)) % 0.44/0.69 (step-pop @p731 :rule scope :premises (@p730)) % 0.44/0.69 (step-pop @p732 :rule scope :premises (@p731)) % 0.44/0.69 (step @p567 :rule process_scope :premises (@p732) :args (@t132)) % 0.44/0.69 (step @p573 :rule implies_elim :premises (@p567)) % 0.44/0.69 (step @p574 :rule cnf_and_neg :args (@t199)) % 0.44/0.69 (step @p575 :rule resolution :premises (@p574 @p573) :args (true @t199)) % 0.44/0.69 (step @p576 :rule reordering :premises (@p575) :args ((or @t169 @t149 @t132 @t168 @t191 @t178))) % 0.44/0.69 (step @p577 :rule chain_m_resolution :premises (@p576 @p317 @p235 @p230 @p538 @p533) :args (@t168 (@list false false true false false) (@list @t165 @t32 @t132 @t136 @t177))) % 0.44/0.69 (step @p578 :rule nary_cong :premises (@p423 @p422 @p466 @p421 @p497 @p418) :args ((or @t193 @t190 @t195 @t192 @t148 @t132))) % 0.44/0.69 (assume-push @p733 @t30) % 0.44/0.69 (assume-push @p734 @t189) % 0.44/0.69 (assume-push @p735 @t135) % 0.44/0.69 (assume-push @p736 @t168) % 0.44/0.69 (assume-push @p737 @t146) % 0.44/0.69 (assume-push @p738 @t168) % 0.44/0.69 (assume-push @p739 @t30) % 0.44/0.69 (assume-push @p740 @t189) % 0.44/0.69 (assume-push @p741 @t146) % 0.44/0.69 (assume-push @p742 @t135) % 0.44/0.69 (step @p589 :rule false_intro :premises (@p736)) % 0.44/0.69 (step @p590 :rule symm :premises (@p589)) % 0.44/0.69 (step @p591 :rule trans :premises (@p8 @p590)) % 0.44/0.69 (step @p592 :rule cong :premises (@p591) :args (@t188)) % 0.44/0.69 (step @p593 :rule symm :premises (@p737)) % 0.44/0.69 (step @p594 :rule false_intro :premises (@p735)) % 0.44/0.69 (step @p595 :rule symm :premises (@p594)) % 0.44/0.69 (step @p596 :rule trans :premises (@p589 @p595)) % 0.44/0.69 (step @p597 :rule cong :premises (@p596) :args (@t126)) % 0.44/0.69 (step @p598 :rule trans :premises (@p597 @p593 @p184 @p592)) % 0.44/0.69 (step-pop @p743 :rule scope :premises (@p598)) % 0.44/0.69 (step-pop @p744 :rule scope :premises (@p743)) % 0.44/0.69 (step-pop @p745 :rule scope :premises (@p744)) % 0.44/0.69 (step-pop @p746 :rule scope :premises (@p745)) % 0.44/0.69 (step-pop @p747 :rule scope :premises (@p746)) % 0.44/0.69 (step @p599 :rule process_scope :premises (@p747) :args (@t132)) % 0.44/0.69 (step @p605 :rule and_intro :premises (@p736 @p185 @p184 @p737 @p735)) % 0.44/0.69 (step @p606 :rule modus_ponens :premises (@p605 @p599)) % 0.44/0.69 (step-pop @p748 :rule scope :premises (@p606)) % 0.44/0.69 (step-pop @p749 :rule scope :premises (@p748)) % 0.44/0.69 (step-pop @p750 :rule scope :premises (@p749)) % 0.44/0.69 (step-pop @p751 :rule scope :premises (@p750)) % 0.44/0.69 (step-pop @p752 :rule scope :premises (@p751)) % 0.44/0.69 (step @p607 :rule process_scope :premises (@p752) :args (@t132)) % 0.44/0.69 (step @p613 :rule implies_elim :premises (@p607)) % 0.44/0.69 (step @p614 :rule cnf_and_neg :args (@t200)) % 0.44/0.69 (step @p615 :rule resolution :premises (@p614 @p613) :args (true @t200)) % 0.44/0.69 (step @p616 :rule eq_resolve :premises (@p615 @p578)) % 0.44/0.69 (step @p617 :rule reordering :premises (@p616) :args ((or @t29 @t190 @t134 @t124 @t132 @t148))) % 0.44/0.69 (step @p618 false :rule chain_m_resolution :premises (@p617 @p577 @p496 @p464 @p230 @p185 @p184) :args (false (@list true false true true true false) (@list @t124 @t146 @t134 @t132 @t29 @t189))) % 0.44/0.69 ) % 0.44/0.69 % SZS output end Proof % 0.44/0.69 % cvc5 exiting %------------------------------------------------------------------------------