%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU731^2 : TPTP v9.2.1. Released v3.7.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n019.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 08:52:56 AM UTC 2026 % Result : Theorem 0.39s 0.60s % Output : Proof 0.39s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU731^2 : TPTP v9.2.1. Released v3.7.0. % 0.13/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n019.cluster.edu % 0.17/0.35 % Model : x86_64 x86_64 % 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.35 % Memory : 8042.1875MB % 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Tue Jun 2 17:50:04 EDT 2026 % 0.17/0.35 % CPUTime : % 0.32/0.50 %----Proving TH0 % 0.39/0.60 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.39/0.60 % SZS status Theorem % 0.39/0.60 % SZS output start Proof % 0.39/0.60 ( % 0.39/0.60 (declare-sort $$unsorted 0) % 0.39/0.60 (declare-const tptp.doubleComplementE1 Bool) % 0.39/0.60 (declare-const tptp.setextT Bool) % 0.39/0.60 (declare-const tptp.complementT_lem Bool) % 0.39/0.60 (declare-const tptp.doubleComplementI1 Bool) % 0.39/0.60 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.39/0.60 (declare-const tptp.setminus (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.60 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 0.39/0.60 (define @t1 () (@var "A" $$unsorted)) % 0.39/0.60 (define @t2 () (_ tptp.powerset @t1)) % 0.39/0.60 (define @t3 () (@var "X" $$unsorted)) % 0.39/0.60 (define @t4 () (_ tptp.setminus @t1)) % 0.39/0.60 (define @t5 () (_ @t4 @t3)) % 0.39/0.60 (define @t6 () (_ (_ tptp.in @t5) @t2)) % 0.39/0.60 (define @t7 () (_ tptp.in @t3)) % 0.39/0.60 (define @t8 () (_ @t7 @t2)) % 0.39/0.60 (define @t9 () (@list @t1 @t3)) % 0.39/0.60 (define @t10 () (forall @t9 (=> @t8 @t6))) % 0.39/0.60 (define @t11 () (= tptp.complementT_lem @t10)) % 0.39/0.60 (define @t12 () (@var "Y" $$unsorted)) % 0.39/0.60 (define @t13 () (= @t3 @t12)) % 0.39/0.60 (define @t14 () (@var "Xx" $$unsorted)) % 0.39/0.60 (define @t15 () (_ tptp.in @t14)) % 0.39/0.60 (define @t16 () (_ @t15 @t3)) % 0.39/0.60 (define @t17 () (_ @t15 @t12)) % 0.39/0.60 (define @t18 () (=> @t17 @t16)) % 0.39/0.60 (define @t19 () (_ @t15 @t1)) % 0.39/0.60 (define @t20 () (@list @t14)) % 0.39/0.60 (define @t21 () (forall @t20 (=> @t19 @t18))) % 0.39/0.60 (define @t22 () (=> @t21 @t13)) % 0.39/0.60 (define @t23 () (=> @t16 @t17)) % 0.39/0.60 (define @t24 () (forall @t20 (=> @t19 @t23))) % 0.39/0.60 (define @t25 () (=> @t24 @t22)) % 0.39/0.60 (define @t26 () (_ tptp.in @t12)) % 0.39/0.60 (define @t27 () (_ @t26 @t2)) % 0.39/0.60 (define @t28 () (=> @t27 @t25)) % 0.39/0.60 (define @t29 () (@list @t12)) % 0.39/0.60 (define @t30 () (forall @t29 @t28)) % 0.39/0.60 (define @t31 () (=> @t8 @t30)) % 0.39/0.60 (define @t32 () (forall @t9 @t31)) % 0.39/0.60 (define @t33 () (= tptp.setextT @t32)) % 0.39/0.60 (define @t34 () (_ @t4 @t5)) % 0.39/0.60 (define @t35 () (_ @t15 @t34)) % 0.39/0.60 (define @t36 () (=> @t16 @t35)) % 0.39/0.60 (define @t37 () (forall @t20 (=> @t19 @t36))) % 0.39/0.60 (define @t38 () (=> @t8 @t37)) % 0.39/0.60 (define @t39 () (forall @t9 @t38)) % 0.39/0.60 (define @t40 () (= tptp.doubleComplementI1 @t39)) % 0.39/0.60 (define @t41 () (=> @t35 @t16)) % 0.39/0.60 (define @t42 () (forall @t20 (=> @t19 @t41))) % 0.39/0.60 (define @t43 () (=> @t8 @t42)) % 0.39/0.60 (define @t44 () (forall @t9 @t43)) % 0.39/0.60 (define @t45 () (= tptp.doubleComplementE1 @t44)) % 0.39/0.60 (define @t46 () (= @t3 @t34)) % 0.39/0.60 (define @t47 () (forall @t9 (=> @t8 @t46))) % 0.39/0.60 (define @t48 () (=> tptp.doubleComplementE1 @t47)) % 0.39/0.60 (define @t49 () (=> tptp.doubleComplementI1 @t48)) % 0.39/0.60 (define @t50 () (=> tptp.setextT @t49)) % 0.39/0.60 (define @t51 () (=> tptp.complementT_lem @t50)) % 0.39/0.60 (define @t52 () (not @t51)) % 0.39/0.60 (define @t53 () (tptp.setminus @t1 @t3)) % 0.39/0.60 (define @t54 () (tptp.setminus @t1 @t53)) % 0.39/0.60 (define @t55 () (tptp.powerset @t1)) % 0.39/0.60 (define @t56 () (tptp.in @t3 @t55)) % 0.39/0.60 (define @t57 () (not @t56)) % 0.39/0.60 (define @t58 () (forall @t9 (or @t57 (= @t3 @t54)))) % 0.39/0.60 (define @t59 () (@var "BOUND_VARIABLE_7596" $$unsorted)) % 0.39/0.60 (define @t60 () (tptp.in @t59 @t3)) % 0.39/0.60 (define @t61 () (not (tptp.in @t59 @t54))) % 0.39/0.60 (define @t62 () (not (tptp.in @t59 @t1))) % 0.39/0.60 (define @t63 () (or @t57 @t62 @t61 @t60)) % 0.39/0.60 (define @t64 () (or @t62 @t61 @t60)) % 0.39/0.60 (define @t65 () (or @t57 @t64)) % 0.39/0.60 (define @t66 () (@list @t1 @t3 @t59)) % 0.39/0.60 (define @t67 () (forall @t66 @t65)) % 0.39/0.60 (define @t68 () (@list @t59)) % 0.39/0.60 (define @t69 () (forall @t68 @t65)) % 0.39/0.60 (define @t70 () (forall @t68 @t64)) % 0.39/0.60 (define @t71 () (@list @t14)) % 0.39/0.60 (define @t72 () (or @t57 @t70)) % 0.39/0.60 (define @t73 () (tptp.in @t14 @t3)) % 0.39/0.60 (define @t74 () (tptp.in @t14 @t54)) % 0.39/0.60 (define @t75 () (tptp.in @t14 @t1)) % 0.39/0.60 (define @t76 () (not @t75)) % 0.39/0.60 (define @t77 () (forall @t20 (or @t76 (not @t74) @t73))) % 0.39/0.60 (define @t78 () (not @t8)) % 0.39/0.60 (define @t79 () (or @t78 @t77)) % 0.39/0.60 (define @t80 () (not @t35)) % 0.39/0.60 (define @t81 () (not @t19)) % 0.39/0.60 (define @t82 () (or @t81 @t80 @t16)) % 0.39/0.60 (define @t83 () (=> tptp.doubleComplementE1 @t58)) % 0.39/0.60 (define @t84 () (@var "BOUND_VARIABLE_7568" $$unsorted)) % 0.39/0.60 (define @t85 () (tptp.in @t84 @t54)) % 0.39/0.60 (define @t86 () (not (tptp.in @t84 @t3))) % 0.39/0.60 (define @t87 () (not (tptp.in @t84 @t1))) % 0.39/0.60 (define @t88 () (or @t87 @t86 @t85)) % 0.39/0.60 (define @t89 () (or @t57 @t88)) % 0.39/0.60 (define @t90 () (forall (@list @t1 @t3 @t84) @t89)) % 0.39/0.60 (define @t91 () (@list @t84)) % 0.39/0.60 (define @t92 () (forall @t91 @t89)) % 0.39/0.60 (define @t93 () (forall @t91 @t88)) % 0.39/0.60 (define @t94 () (or @t57 @t93)) % 0.39/0.60 (define @t95 () (not @t73)) % 0.39/0.60 (define @t96 () (forall @t20 (or @t76 @t95 @t74))) % 0.39/0.60 (define @t97 () (or @t78 @t96)) % 0.39/0.60 (define @t98 () (not @t16)) % 0.39/0.60 (define @t99 () (or @t81 @t98 @t35)) % 0.39/0.60 (define @t100 () (=> tptp.doubleComplementI1 @t83)) % 0.39/0.60 (define @t101 () (@var "BOUND_VARIABLE_7532" $$unsorted)) % 0.39/0.60 (define @t102 () (= @t3 @t101)) % 0.39/0.60 (define @t103 () (tptp.in @t14 @t101)) % 0.39/0.60 (define @t104 () (not (forall @t20 (or @t76 (not @t103) @t73)))) % 0.39/0.60 (define @t105 () (not (forall @t20 (or @t76 @t95 @t103)))) % 0.39/0.60 (define @t106 () (not (tptp.in @t101 @t55))) % 0.39/0.60 (define @t107 () (or @t106 @t105 @t104 @t102)) % 0.39/0.60 (define @t108 () (or @t57 @t107)) % 0.39/0.60 (define @t109 () (forall (@list @t1 @t3 @t101) @t108)) % 0.39/0.60 (define @t110 () (@list @t101)) % 0.39/0.60 (define @t111 () (forall @t110 @t108)) % 0.39/0.60 (define @t112 () (forall @t110 @t107)) % 0.39/0.60 (define @t113 () (or @t57 @t112)) % 0.39/0.60 (define @t114 () (tptp.in @t14 @t12)) % 0.39/0.60 (define @t115 () (forall @t20 (or @t76 (not @t114) @t73))) % 0.39/0.60 (define @t116 () (not @t115)) % 0.39/0.60 (define @t117 () (forall @t20 (or @t76 @t95 @t114))) % 0.39/0.60 (define @t118 () (not @t117)) % 0.39/0.60 (define @t119 () (tptp.in @t12 @t55)) % 0.39/0.60 (define @t120 () (forall @t29 (or (not @t119) @t118 @t116 @t13))) % 0.39/0.60 (define @t121 () (or @t78 @t120)) % 0.39/0.60 (define @t122 () (not @t27)) % 0.39/0.60 (define @t123 () (or @t122 @t118 @t116 @t13)) % 0.39/0.60 (define @t124 () (or @t118 @t116 @t13)) % 0.39/0.60 (define @t125 () (=> @t115 @t13)) % 0.39/0.60 (define @t126 () (=> @t117 @t125)) % 0.39/0.60 (define @t127 () (not @t17)) % 0.39/0.60 (define @t128 () (or @t81 @t127 @t16)) % 0.39/0.60 (define @t129 () (or @t81 @t98 @t17)) % 0.39/0.60 (define @t130 () (=> tptp.setextT @t100)) % 0.39/0.60 (define @t131 () (tptp.in @t53 @t55)) % 0.39/0.60 (define @t132 () (or @t78 @t6)) % 0.39/0.60 (define @t133 () (=> tptp.complementT_lem @t130)) % 0.39/0.60 (define @t134 () (or @t78 @t46)) % 0.39/0.60 (define @t135 () (@quantifiers_skolemize @t58 1)) % 0.39/0.60 (define @t136 () (@quantifiers_skolemize @t58 0)) % 0.39/0.60 (define @t137 () (tptp.setminus @t136 @t135)) % 0.39/0.60 (define @t138 () (tptp.setminus @t136 @t137)) % 0.39/0.60 (define @t139 () (tptp.in @t14 @t138)) % 0.39/0.60 (define @t140 () (tptp.in @t14 @t135)) % 0.39/0.60 (define @t141 () (not (tptp.in @t14 @t136))) % 0.39/0.60 (define @t142 () (forall @t20 (or @t141 (not @t140) @t139))) % 0.39/0.60 (define @t143 () (@quantifiers_skolemize @t142 0)) % 0.39/0.60 (define @t144 () (tptp.in @t143 @t136)) % 0.39/0.60 (define @t145 () (tptp.in @t143 @t138)) % 0.39/0.60 (define @t146 () (tptp.in @t143 @t135)) % 0.39/0.60 (define @t147 () (not @t146)) % 0.39/0.60 (define @t148 () (not @t144)) % 0.39/0.60 (define @t149 () (or @t148 @t147 @t145)) % 0.39/0.60 (define @t150 () (tptp.powerset @t136)) % 0.39/0.60 (define @t151 () (tptp.in @t135 @t150)) % 0.39/0.60 (define @t152 () (= @t135 @t138)) % 0.39/0.60 (define @t153 () (not @t151)) % 0.39/0.60 (define @t154 () (or @t153 @t152)) % 0.39/0.60 (define @t155 () (@list true)) % 0.39/0.60 (define @t156 () (@list @t154)) % 0.39/0.60 (define @t157 () (or @t153 @t148 @t147 @t145)) % 0.39/0.60 (define @t158 () (not @t149)) % 0.39/0.60 (define @t159 () (not @t142)) % 0.39/0.60 (define @t160 () (tptp.in @t137 @t150)) % 0.39/0.60 (define @t161 () (or @t153 @t160)) % 0.39/0.60 (define @t162 () (@list false false)) % 0.39/0.60 (define @t163 () (tptp.in @t138 @t150)) % 0.39/0.60 (define @t164 () (not @t160)) % 0.39/0.60 (define @t165 () (or @t164 @t163)) % 0.39/0.60 (define @t166 () (forall @t20 (or @t141 (not @t139) @t140))) % 0.39/0.60 (define @t167 () (not @t166)) % 0.39/0.60 (define @t168 () (not @t163)) % 0.39/0.60 (define @t169 () (or @t153 @t168 @t159 @t167 @t152)) % 0.39/0.60 (define @t170 () (@quantifiers_skolemize @t166 0)) % 0.39/0.60 (define @t171 () (tptp.in @t170 @t135)) % 0.39/0.60 (define @t172 () (tptp.in @t170 @t138)) % 0.39/0.60 (define @t173 () (not @t172)) % 0.39/0.60 (define @t174 () (tptp.in @t170 @t136)) % 0.39/0.60 (define @t175 () (not @t174)) % 0.39/0.60 (define @t176 () (or @t175 @t173 @t171)) % 0.39/0.60 (define @t177 () (not @t176)) % 0.39/0.60 (define @t178 () (@list @t176)) % 0.39/0.60 (define @t179 () (or @t153 @t175 @t173 @t171)) % 0.39/0.60 (define @t180 () (not @t179)) % 0.39/0.60 (define @t181 () (forall @t66 @t63)) % 0.39/0.60 (assume @p1 @t11) % 0.39/0.60 (assume @p2 @t33) % 0.39/0.60 (assume @p3 @t40) % 0.39/0.60 (assume @p4 @t45) % 0.39/0.60 (assume @p5 @t52) % 0.39/0.60 (assume @p6 true) % 0.39/0.60 (step @p7 :rule refl :args (@t58)) % 0.39/0.60 (step @p8 :rule aci_norm :args ((= @t65 @t63))) % 0.39/0.60 (step @p9 :rule cong :premises (@p8) :args (@t67)) % 0.39/0.60 (step @p10 :rule quant-merge-prenex :args ((= (forall @t9 @t69) @t67))) % 0.39/0.60 (step @p11 :rule alpha_equiv :args (@t70 (@list @t59) @t71)) % 0.39/0.60 (step @p12 :rule refl :args (@t57)) % 0.39/0.60 (step @p13 :rule nary_cong :premises (@p12 @p11) :args (@t72)) % 0.39/0.60 (step @p14 :rule quant-miniscope-or :args ((= @t69 @t72))) % 0.39/0.60 (step @p15 :rule trans :premises (@p14 @p13)) % 0.39/0.60 (step @p16 :rule symm :premises (@p15)) % 0.39/0.60 (step @p17 :rule cong :premises (@p16) :args ((forall @t9 (or @t57 @t77)))) % 0.39/0.60 (step @p18 :rule trans :premises (@p17 @p10)) % 0.39/0.60 (step @p19 :rule trans :premises (@p18 @p9)) % 0.39/0.60 (step @p20 :rule refl :args (@t77)) % 0.39/0.60 (step @p21 :rule refl :args ((tptp.in @t3 @t2))) % 0.39/0.60 (step @p22 :rule refl :args (@t55)) % 0.39/0.60 (step @p23 :rule refl :args (@t3)) % 0.39/0.60 (step @p24 :rule cong :premises (@p23 @p22) :args (@t56)) % 0.39/0.60 (step @p25 :rule trans :premises (@p24 @p21)) % 0.39/0.60 (step @p26 :rule refl :args (@t7)) % 0.39/0.60 (step @p27 :rule ho_cong :premises (@p26 @p22)) % 0.39/0.60 (step @p28 :rule cong :premises (@p27 @p25) :args ((= (_ @t7 @t55) @t56))) % 0.39/0.60 (step @p29 :rule symm :premises (@p28)) % 0.39/0.60 (step @p30 :rule refl :args (@t8)) % 0.39/0.60 (step @p31 :rule eq_resolve :premises (@p30 @p29)) % 0.39/0.60 (step @p32 :rule refl :args (@t2)) % 0.39/0.60 (step @p33 :rule cong :premises (@p32 @p22) :args ((= @t2 @t55))) % 0.39/0.60 (step @p34 :rule symm :premises (@p33)) % 0.39/0.60 (step @p35 :rule eq_resolve :premises (@p32 @p34)) % 0.39/0.60 (step @p36 :rule ho_cong :premises (@p26 @p35)) % 0.39/0.60 (step @p37 :rule trans :premises (@p36 @p31)) % 0.39/0.60 (step @p38 :rule cong :premises (@p37) :args (@t78)) % 0.39/0.60 (step @p39 :rule nary_cong :premises (@p38 @p20) :args (@t79)) % 0.39/0.60 (step @p40 :rule cong :premises (@p39) :args ((forall @t9 @t79))) % 0.39/0.60 (step @p41 :rule trans :premises (@p40 @p19)) % 0.39/0.60 (step @p42 :rule bool-impl-elim :args (@t8 @t77)) % 0.39/0.60 (step @p43 :rule cong :premises (@p42) :args ((forall @t9 (=> @t8 @t77)))) % 0.39/0.60 (step @p44 :rule trans :premises (@p43 @p41)) % 0.39/0.60 (step @p45 :rule refl :args (@t73)) % 0.39/0.60 (step @p46 :rule refl :args (@t16)) % 0.39/0.60 (step @p47 :rule cong :premises (@p46 @p45) :args ((= @t16 @t73))) % 0.39/0.60 (step @p48 :rule symm :premises (@p47)) % 0.39/0.60 (step @p49 :rule eq_resolve :premises (@p46 @p48)) % 0.39/0.60 (step @p50 :rule refl :args ((tptp.in @t14 @t34))) % 0.39/0.60 (step @p51 :rule refl :args ((tptp.setminus @t1 @t5))) % 0.39/0.60 (step @p52 :rule refl :args (@t53)) % 0.39/0.60 (step @p53 :rule refl :args (@t1)) % 0.39/0.60 (step @p54 :rule cong :premises (@p53 @p52) :args (@t54)) % 0.39/0.60 (step @p55 :rule trans :premises (@p54 @p51)) % 0.39/0.60 (step @p56 :rule refl :args (@t14)) % 0.39/0.60 (step @p57 :rule cong :premises (@p56 @p55) :args (@t74)) % 0.39/0.60 (step @p58 :rule trans :premises (@p57 @p50)) % 0.39/0.60 (step @p59 :rule refl :args (@t15)) % 0.39/0.60 (step @p60 :rule ho_cong :premises (@p59 @p55)) % 0.39/0.60 (step @p61 :rule cong :premises (@p60 @p58) :args ((= (_ @t15 @t54) @t74))) % 0.39/0.60 (step @p62 :rule symm :premises (@p61)) 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:rule chain_m_resolution :premises (@p297 @p295 @p293 @p284 @p283 @p278) :args (@t149 (@list false false true false false) (@list @t157 @t151 @t145 @t146 @t144))) % 0.39/0.60 (step @p299 :rule refl :args (@t158)) % 0.39/0.60 (step @p300 :rule bool-double-not-elim :args (@t142)) % 0.39/0.60 (step @p301 :rule nary_cong :premises (@p300 @p299) :args ((or (not @t159) @t158))) % 0.39/0.60 (assume-push @p357 @t159) % 0.39/0.60 (step @p303 :rule skolemize :premises (@p357)) % 0.39/0.60 (step-pop @p358 :rule scope :premises (@p303)) % 0.39/0.60 (step @p304 :rule process_scope :premises (@p358) :args (@t158)) % 0.39/0.60 (step @p306 :rule implies_elim :premises (@p304)) % 0.39/0.60 (step @p307 :rule eq_resolve :premises (@p306 @p301)) % 0.39/0.60 (step @p308 :rule chain_m_resolution :premises (@p307 @p298) :args (@t142 (@list false) (@list @t149))) % 0.39/0.60 (step @p309 :rule not_implies_elim1 :premises (@p266)) % 0.39/0.60 (step @p310 :rule instantiate :premises (@p309) :args ((@list @t136 @t137))) % 0.39/0.60 (step @p311 :rule instantiate :premises (@p309) :args ((@list @t136 @t135))) % 0.39/0.60 (step @p312 :rule cnf_or_pos :args (@t161)) % 0.39/0.60 (step @p313 :rule reordering :premises (@p312) :args ((or @t153 @t160 (not @t161)))) % 0.39/0.61 (step @p314 :rule chain_m_resolution :premises (@p313 @p293 @p311) :args (@t160 @t162 (@list @t151 @t161))) % 0.39/0.61 (step @p315 :rule cnf_or_pos :args (@t165)) % 0.39/0.61 (step @p316 :rule reordering :premises (@p315) :args ((or @t164 @t163 (not @t165)))) % 0.39/0.61 (step @p317 :rule chain_m_resolution :premises (@p316 @p314 @p310) :args (@t163 @t162 (@list @t160 @t165))) % 0.39/0.61 (step @p318 :rule cnf_or_neg :args (@t154 1)) % 0.39/0.61 (step @p319 :rule chain_m_resolution :premises (@p318 @p286) :args ((not @t152) @t155 @t156)) % 0.39/0.61 (step @p320 :rule cnf_or_pos :args (@t169)) % 0.39/0.61 (step @p321 :rule reordering :premises (@p320) :args ((or @t153 @t152 @t168 @t159 @t167 (not @t169)))) % 0.39/0.61 (step @p322 :rule chain_m_resolution :premises (@p321 @p293 @p319 @p317 @p308 @p272) :args (@t167 (@list false true false false false) (@list @t151 @t152 @t163 @t142 @t169))) % 0.39/0.61 (step @p323 :rule refl :args (@t177)) % 0.39/0.61 (step @p324 :rule bool-double-not-elim :args (@t166)) % 0.39/0.61 (step @p325 :rule nary_cong :premises (@p324 @p323) :args ((or (not @t167) @t177))) % 0.39/0.61 (assume-push @p359 @t167) % 0.39/0.61 (step @p327 :rule skolemize :premises (@p359)) % 0.39/0.61 (step-pop @p360 :rule scope :premises (@p327)) % 0.39/0.61 (step @p328 :rule process_scope :premises (@p360) :args (@t177)) % 0.39/0.61 (step @p330 :rule implies_elim :premises (@p328)) % 0.39/0.61 (step @p331 :rule eq_resolve :premises (@p330 @p325)) % 0.39/0.61 (step @p332 :rule chain_m_resolution :premises (@p331 @p322) :args (@t177 @t155 (@list @t166))) % 0.39/0.61 (step @p333 :rule cnf_or_neg :args (@t176 2)) % 0.39/0.61 (step @p334 :rule chain_m_resolution :premises (@p333 @p332) :args ((not @t171) @t155 @t178)) % 0.39/0.61 (step @p335 :rule bool-double-not-elim :args (@t172)) % 0.39/0.61 (step @p336 :rule refl :args (@t176)) % 0.39/0.61 (step @p337 :rule nary_cong :premises (@p336 @p335) :args ((or @t176 (not @t173)))) % 0.39/0.61 (step @p338 :rule cnf_or_neg :args (@t176 1)) % 0.39/0.61 (step @p339 :rule eq_resolve :premises (@p338 @p337)) % 0.39/0.61 (step @p340 :rule reordering :premises (@p339) :args ((or @t172 @t176))) % 0.39/0.61 (step @p341 :rule chain_m_resolution :premises (@p340 @p332) :args (@t172 @t155 @t178)) % 0.39/0.61 (step @p342 :rule bool-double-not-elim :args (@t174)) % 0.39/0.61 (step @p343 :rule nary_cong :premises (@p336 @p342) :args ((or @t176 (not @t175)))) % 0.39/0.61 (step @p344 :rule cnf_or_neg :args (@t176 0)) % 0.39/0.61 (step @p345 :rule eq_resolve :premises (@p344 @p343)) % 0.39/0.61 (step @p346 :rule reordering :premises (@p345) :args ((or @t174 @t176))) % 0.39/0.61 (step @p347 :rule chain_m_resolution :premises (@p346 @p332) :args (@t174 @t155 @t178)) % 0.39/0.61 (step @p348 :rule cnf_or_pos :args (@t179)) % 0.39/0.61 (step @p349 :rule reordering :premises (@p348) :args ((or @t153 @t175 @t173 @t171 @t180))) % 0.39/0.61 (step @p350 :rule chain_m_resolution :premises (@p349 @p293 @p347 @p341 @p334) :args (@t180 (@list false false false true) (@list @t151 @t174 @t172 @t171))) % 0.39/0.61 (assume-push @p361 @t181) % 0.39/0.61 (step @p352 :rule instantiate :premises (@p270) :args ((@list @t136 @t135 @t170))) % 0.39/0.61 (step-pop @p362 :rule scope :premises (@p352)) % 0.39/0.61 (step @p353 :rule process_scope :premises (@p362) :args (@t179)) % 0.39/0.61 (step @p355 :rule implies_elim :premises (@p353)) % 0.39/0.61 (step @p356 false :rule chain_m_resolution :premises (@p355 @p350 @p270) :args (false (@list true false) (@list @t179 @t181))) % 0.39/0.61 ) % 0.39/0.61 % SZS output end Proof % 0.39/0.61 % cvc5 exiting %------------------------------------------------------------------------------