%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU811^2 : 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 08:53:18 AM UTC 2026 % Result : Theorem 0.35s 0.59s % Output : Proof 0.35s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU811^2 : 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 % 0.15/0.34 % Computer : n011.cluster.edu % 0.15/0.34 % Model : x86_64 x86_64 % 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.34 % Memory : 8042.1875MB % 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.34 % CPULimit : 300 % 0.15/0.34 % WCLimit : 300 % 0.15/0.34 % DateTime : Tue Jun 2 17:53:05 EDT 2026 % 0.15/0.34 % CPUTime : % 0.26/0.49 %----Proving TH0 % 0.35/0.59 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.35/0.59 % SZS status Theorem % 0.35/0.59 % SZS output start Proof % 0.35/0.59 ( % 0.35/0.59 (declare-sort $$unsorted 0) % 0.35/0.59 (declare-const tptp.setadjoin (-> $$unsorted $$unsorted $$unsorted)) % 0.35/0.59 (declare-const tptp.omega $$unsorted) % 0.35/0.59 (declare-const tptp.notinself2 Bool) % 0.35/0.59 (declare-const tptp.in__Cong Bool) % 0.35/0.59 (declare-const tptp.setadjoinE Bool) % 0.35/0.59 (declare-const tptp.setadjoinIL Bool) % 0.35/0.59 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.35/0.59 (define tptp.omegaS () (let ((_let_1 (@var "Xx" $$unsorted))) (lambda (@list _let_1) (_ (_ tptp.setadjoin _let_1) _let_1)))) % 0.35/0.59 (define @t1 () (@var "Xy" $$unsorted)) % 0.35/0.59 (define @t2 () (@var "Xx" $$unsorted)) % 0.35/0.59 (define @t3 () (_ tptp.setadjoin @t2)) % 0.35/0.59 (define @t4 () (_ @t3 @t1)) % 0.35/0.59 (define @t5 () (_ tptp.in @t2)) % 0.35/0.59 (define @t6 () (_ @t5 @t4)) % 0.35/0.59 (define @t7 () (@list @t2 @t1)) % 0.35/0.59 (define @t8 () (forall @t7 @t6)) % 0.35/0.59 (define @t9 () (= tptp.setadjoinIL @t8)) % 0.35/0.59 (define @t10 () (@var "Xphi" Bool)) % 0.35/0.59 (define @t11 () (@var "A" $$unsorted)) % 0.35/0.59 (define @t12 () (_ tptp.in @t1)) % 0.35/0.59 (define @t13 () (_ @t12 @t11)) % 0.35/0.59 (define @t14 () (=> @t13 @t10)) % 0.35/0.59 (define @t15 () (=> @t14 @t10)) % 0.35/0.59 (define @t16 () (=> (= @t1 @t2) @t10)) % 0.35/0.59 (define @t17 () (=> @t16 @t15)) % 0.35/0.59 (define @t18 () (@list @t10)) % 0.35/0.59 (define @t19 () (forall @t18 @t17)) % 0.35/0.59 (define @t20 () (_ @t3 @t11)) % 0.35/0.59 (define @t21 () (_ @t12 @t20)) % 0.35/0.59 (define @t22 () (=> @t21 @t19)) % 0.35/0.59 (define @t23 () (@list @t2 @t11 @t1)) % 0.35/0.59 (define @t24 () (forall @t23 @t22)) % 0.35/0.59 (define @t25 () (= tptp.setadjoinE @t24)) % 0.35/0.59 (define @t26 () (@var "B" $$unsorted)) % 0.35/0.59 (define @t27 () (_ @t12 @t26)) % 0.35/0.59 (define @t28 () (_ @t5 @t11)) % 0.35/0.59 (define @t29 () (= @t28 @t27)) % 0.35/0.59 (define @t30 () (= @t2 @t1)) % 0.35/0.59 (define @t31 () (forall @t7 (=> @t30 @t29))) % 0.35/0.59 (define @t32 () (= @t11 @t26)) % 0.35/0.59 (define @t33 () (=> @t32 @t31)) % 0.35/0.59 (define @t34 () (@list @t11 @t26)) % 0.35/0.59 (define @t35 () (forall @t34 @t33)) % 0.35/0.59 (define @t36 () (= tptp.in__Cong @t35)) % 0.35/0.59 (define @t37 () (_ (_ tptp.in @t26) @t11)) % 0.35/0.59 (define @t38 () (not @t37)) % 0.35/0.59 (define @t39 () (_ (_ tptp.in @t11) @t26)) % 0.35/0.59 (define @t40 () (forall @t34 (=> @t39 @t38))) % 0.35/0.59 (define @t41 () (= tptp.notinself2 @t40)) % 0.35/0.59 (define @t42 () (= (_ tptp.omegaS @t2) (_ tptp.omegaS @t1))) % 0.35/0.59 (define @t43 () (=> @t42 @t30)) % 0.35/0.59 (define @t44 () (_ @t12 tptp.omega)) % 0.35/0.59 (define @t45 () (=> @t44 @t43)) % 0.35/0.59 (define @t46 () (@list @t1)) % 0.35/0.59 (define @t47 () (forall @t46 @t45)) % 0.35/0.59 (define @t48 () (_ @t5 tptp.omega)) % 0.35/0.59 (define @t49 () (=> @t48 @t47)) % 0.35/0.59 (define @t50 () (@list @t2)) % 0.35/0.59 (define @t51 () (forall @t50 @t49)) % 0.35/0.59 (define @t52 () (=> tptp.notinself2 @t51)) % 0.35/0.59 (define @t53 () (=> tptp.in__Cong @t52)) % 0.35/0.59 (define @t54 () (=> tptp.setadjoinE @t53)) % 0.35/0.59 (define @t55 () (=> tptp.setadjoinIL @t54)) % 0.35/0.59 (define @t56 () (not @t55)) % 0.35/0.59 (define @t57 () (_ @t3 @t2)) % 0.35/0.59 (define @t58 () (lambda @t50 @t57)) % 0.35/0.59 (define @t59 () (@var "BOUND_VARIABLE_7618" $$unsorted)) % 0.35/0.59 (define @t60 () (= @t2 @t59)) % 0.35/0.59 (define @t61 () (tptp.setadjoin @t2 @t2)) % 0.35/0.59 (define @t62 () (not (= @t61 (tptp.setadjoin @t59 @t59)))) % 0.35/0.59 (define @t63 () (not (tptp.in @t59 tptp.omega))) % 0.35/0.59 (define @t64 () (tptp.in @t2 tptp.omega)) % 0.35/0.59 (define @t65 () (not @t64)) % 0.35/0.59 (define @t66 () (or @t65 @t63 @t62 @t60)) % 0.35/0.59 (define @t67 () (@list @t2 @t59)) % 0.35/0.59 (define @t68 () (forall @t67 @t66)) % 0.35/0.59 (define @t69 () (tptp.in @t26 @t11)) % 0.35/0.59 (define @t70 () (tptp.in @t11 @t26)) % 0.35/0.59 (define @t71 () (forall @t34 (or (not @t70) (not @t69)))) % 0.35/0.59 (define @t72 () (=> @t71 @t68)) % 0.35/0.59 (define @t73 () (tptp.in @t1 @t11)) % 0.35/0.59 (define @t74 () (tptp.setadjoin @t2 @t11)) % 0.35/0.59 (define @t75 () (tptp.in @t1 @t74)) % 0.35/0.59 (define @t76 () (forall @t23 (or (not @t75) @t30 @t73))) % 0.35/0.59 (define @t77 () (=> @t76 (=> true @t72))) % 0.35/0.59 (define @t78 () (tptp.setadjoin @t2 @t1)) % 0.35/0.59 (define @t79 () (tptp.in @t2 @t78)) % 0.35/0.59 (define @t80 () (forall @t7 @t79)) % 0.35/0.59 (define @t81 () (=> @t80 @t77)) % 0.35/0.59 (define @t82 () (not @t39)) % 0.35/0.59 (define @t83 () (or @t82 @t38)) % 0.35/0.59 (define @t84 () (=> tptp.notinself2 @t68)) % 0.35/0.59 (define @t85 () (@var "BOUND_VARIABLE_7546" $$unsorted)) % 0.35/0.59 (define @t86 () (@list @t26 @t85)) % 0.35/0.59 (define @t87 () (tptp.in @t85 @t26)) % 0.35/0.59 (define @t88 () (not (= @t26 @t26))) % 0.35/0.59 (define @t89 () (or @t88 (= @t87 @t87))) % 0.35/0.59 (define @t90 () (= (tptp.in @t85 @t11) @t87)) % 0.35/0.59 (define @t91 () (not @t32)) % 0.35/0.59 (define @t92 () (or @t91 @t91 @t90)) % 0.35/0.59 (define @t93 () (@list @t11)) % 0.35/0.59 (define @t94 () (or @t91 @t90)) % 0.35/0.59 (define @t95 () (forall @t93 @t94)) % 0.35/0.59 (define @t96 () (forall @t86 @t95)) % 0.35/0.59 (define @t97 () (forall (@list @t26 @t85 @t11) @t94)) % 0.35/0.59 (define @t98 () (forall (@list @t11 @t26 @t85) @t94)) % 0.35/0.59 (define @t99 () (@list @t85)) % 0.35/0.59 (define @t100 () (forall @t99 @t94)) % 0.35/0.59 (define @t101 () (forall @t99 @t90)) % 0.35/0.59 (define @t102 () (@list @t1)) % 0.35/0.59 (define @t103 () (or @t91 @t101)) % 0.35/0.59 (define @t104 () (tptp.in @t1 @t26)) % 0.35/0.59 (define @t105 () (= @t73 @t104)) % 0.35/0.59 (define @t106 () (forall @t46 @t105)) % 0.35/0.59 (define @t107 () (not (= @t1 @t1))) % 0.35/0.59 (define @t108 () (or @t107 @t105)) % 0.35/0.59 (define @t109 () (tptp.in @t2 @t11)) % 0.35/0.59 (define @t110 () (= @t109 @t104)) % 0.35/0.59 (define @t111 () (not @t30)) % 0.35/0.59 (define @t112 () (or @t111 @t111 @t110)) % 0.35/0.59 (define @t113 () (or @t111 @t110)) % 0.35/0.59 (define @t114 () (forall @t50 @t113)) % 0.35/0.59 (define @t115 () (forall @t46 @t114)) % 0.35/0.59 (define @t116 () (forall (@list @t1 @t2) @t113)) % 0.35/0.59 (define @t117 () (or @t111 @t29)) % 0.35/0.59 (define @t118 () (=> tptp.in__Cong @t84)) % 0.35/0.59 (define @t119 () (not @t21)) % 0.35/0.59 (define @t120 () (or @t119 @t30 @t73)) % 0.35/0.59 (define @t121 () (or @t30 @t73)) % 0.35/0.59 (define @t122 () (not false)) % 0.35/0.59 (define @t123 () (and @t73 @t122)) % 0.35/0.59 (define @t124 () (and @t30 @t122)) % 0.35/0.59 (define @t125 () (or @t124 @t123)) % 0.35/0.59 (define @t126 () (or @t124 @t123 false)) % 0.35/0.59 (define @t127 () (not @t10)) % 0.35/0.59 (define @t128 () (and @t73 @t127)) % 0.35/0.59 (define @t129 () (and @t30 @t127)) % 0.35/0.59 (define @t130 () (or @t10 @t129 @t128 @t10)) % 0.35/0.59 (define @t131 () (or @t129 @t128 @t10)) % 0.35/0.59 (define @t132 () (and @t13 @t127)) % 0.35/0.59 (define @t133 () (or @t129 @t132 @t10)) % 0.35/0.59 (define @t134 () (=> @t30 @t10)) % 0.35/0.59 (define @t135 () (=> tptp.setadjoinE @t118)) % 0.35/0.59 (define @t136 () (=> tptp.setadjoinIL @t135)) % 0.35/0.59 (define @t137 () (or @t63 @t62 @t60)) % 0.35/0.59 (define @t138 () (or @t65 @t137)) % 0.35/0.59 (define @t139 () (forall @t67 @t138)) % 0.35/0.59 (define @t140 () (@list @t59)) % 0.35/0.59 (define @t141 () (forall @t140 @t138)) % 0.35/0.59 (define @t142 () (forall @t140 @t137)) % 0.35/0.59 (define @t143 () (or @t65 @t142)) % 0.35/0.59 (define @t144 () (tptp.setadjoin @t1 @t1)) % 0.35/0.59 (define @t145 () (tptp.in @t1 tptp.omega)) % 0.35/0.59 (define @t146 () (forall @t46 (or (not @t145) (not (= @t61 @t144)) @t30))) % 0.35/0.59 (define @t147 () (not @t48)) % 0.35/0.59 (define @t148 () (or @t147 @t146)) % 0.35/0.59 (define @t149 () (_ (_ tptp.setadjoin @t1) @t1)) % 0.35/0.59 (define @t150 () (= @t57 @t149)) % 0.35/0.59 (define @t151 () (not @t150)) % 0.35/0.59 (define @t152 () (not @t44)) % 0.35/0.59 (define @t153 () (or @t152 @t151 @t30)) % 0.35/0.59 (define @t154 () (=> @t150 @t30)) % 0.35/0.59 (define @t155 () (_ @t58 @t1)) % 0.35/0.59 (define @t156 () (_ @t58 @t2)) % 0.35/0.59 (define @t157 () (= @t156 @t155)) % 0.35/0.59 (define @t158 () (=> @t157 @t30)) % 0.35/0.59 (define @t159 () (=> @t44 @t158)) % 0.35/0.59 (define @t160 () (forall @t46 @t159)) % 0.35/0.59 (define @t161 () (=> @t48 @t160)) % 0.35/0.59 (define @t162 () (forall @t50 @t161)) % 0.35/0.59 (define @t163 () (=> tptp.notinself2 @t162)) % 0.35/0.59 (define @t164 () (=> tptp.in__Cong @t163)) % 0.35/0.59 (define @t165 () (=> tptp.setadjoinE @t164)) % 0.35/0.59 (define @t166 () (=> tptp.setadjoinIL @t165)) % 0.35/0.59 (define @t167 () (@quantifiers_skolemize @t68 1)) % 0.35/0.59 (define @t168 () (@quantifiers_skolemize @t68 0)) % 0.35/0.59 (define @t169 () (tptp.setadjoin @t167 @t167)) % 0.35/0.59 (define @t170 () (tptp.setadjoin @t168 @t168)) % 0.35/0.59 (define @t171 () (= @t170 @t169)) % 0.35/0.59 (define @t172 () (= @t168 @t167)) % 0.35/0.59 (define @t173 () (not @t171)) % 0.35/0.59 (define @t174 () (or (not (tptp.in @t168 tptp.omega)) (not (tptp.in @t167 tptp.omega)) @t173 @t172)) % 0.35/0.59 (define @t175 () (@list true)) % 0.35/0.59 (define @t176 () (@list @t174)) % 0.35/0.59 (define @t177 () (tptp.in @t167 @t170)) % 0.35/0.59 (define @t178 () (tptp.in @t167 @t168)) % 0.35/0.59 (define @t179 () (not @t177)) % 0.35/0.59 (define @t180 () (or @t179 @t172 @t178)) % 0.35/0.59 (define @t181 () (@list true false false)) % 0.35/0.59 (define @t182 () (tptp.in @t168 @t167)) % 0.35/0.59 (define @t183 () (tptp.in @t168 @t169)) % 0.35/0.59 (define @t184 () (not @t183)) % 0.35/0.59 (define @t185 () (or @t184 (= @t167 @t168) @t182)) % 0.35/0.59 (define @t186 () (or @t184 @t172 @t182)) % 0.35/0.59 (define @t187 () (not @t178)) % 0.35/0.59 (define @t188 () (not @t182)) % 0.35/0.59 (define @t189 () (or @t188 @t187)) % 0.35/0.59 (define @t190 () (not @t189)) % 0.35/0.59 (assume @p1 @t9) % 0.35/0.59 (assume @p2 @t25) % 0.35/0.59 (assume @p3 @t36) % 0.35/0.59 (assume @p4 @t41) % 0.35/0.59 (assume @p5 @t56) % 0.35/0.59 (assume @p6 true) % 0.35/0.59 (step @p7 (= tptp.omegaS @t58) :rule refl :args (@t58)) % 0.35/0.59 (step @p8 :rule bool-impl-true2 :args (@t72)) % 0.35/0.59 (step @p9 :rule refl :args (@t76)) % 0.35/0.59 (step @p10 :rule cong :premises (@p9 @p8) :args (@t77)) % 0.35/0.59 (step @p11 :rule refl :args (@t80)) % 0.35/0.59 (step @p12 :rule cong :premises (@p11 @p10) :args (@t81)) % 0.35/0.59 (step @p13 :rule cong :premises (@p12) :args ((not @t81))) % 0.35/0.59 (step @p14 :rule refl :args (@t68)) % 0.35/0.59 (step @p15 :rule refl :args (@t69)) % 0.35/0.59 (step @p16 :rule refl :args (@t37)) % 0.35/0.59 (step @p17 :rule cong :premises (@p16 @p15) :args ((= @t37 @t69))) % 0.35/0.59 (step @p18 :rule symm :premises (@p17)) % 0.35/0.59 (step @p19 :rule eq_resolve :premises (@p16 @p18)) % 0.35/0.59 (step @p20 :rule cong :premises (@p19) :args (@t38)) % 0.35/0.59 (step @p21 :rule refl :args (@t70)) % 0.35/0.59 (step @p22 :rule refl :args (@t39)) % 0.35/0.59 (step @p23 :rule cong :premises (@p22 @p21) :args ((= @t39 @t70))) % 0.35/0.59 (step @p24 :rule symm :premises (@p23)) % 0.35/0.59 (step @p25 :rule eq_resolve :premises (@p22 @p24)) % 0.35/0.59 (step @p26 :rule cong :premises (@p25) :args (@t82)) % 0.35/0.59 (step @p27 :rule nary_cong :premises (@p26 @p20) :args (@t83)) % 0.35/0.59 (step @p28 :rule cong :premises (@p27) :args ((forall @t34 @t83))) % 0.35/0.59 (step @p29 :rule bool-impl-elim :args (@t39 @t38)) % 0.35/0.59 (step @p30 :rule cong :premises (@p29) :args (@t40)) % 0.35/0.59 (step @p31 :rule trans :premises (@p30 @p28)) % 0.35/0.59 (step @p32 :rule refl :args (tptp.notinself2)) % 0.35/0.59 (step @p33 :rule cong :premises (@p32 @p31) :args (@t41)) % 0.35/0.59 (step @p34 :rule eq_resolve :premises (@p4 @p33)) % 0.35/0.59 (step @p35 :rule cong :premises (@p34 @p14) :args (@t84)) % 0.35/0.59 (step @p36 :rule bool-eq-true :args (tptp.in__Cong)) % 0.35/0.59 (step @p37 :rule symm :premises (@p36)) % 0.35/0.59 (step @p38 :rule quant-unused-vars :args ((= (forall @t86 true) true))) % 0.35/0.59 (step @p39 :rule evaluate :args ((or false true))) % 0.35/0.59 (step @p40 :rule eq-refl :args (@t87)) % 0.35/0.59 (step @p41 :rule evaluate :args ((not true))) % 0.35/0.59 (step @p42 :rule eq-refl :args (@t26)) % 0.35/0.59 (step @p43 :rule cong :premises (@p42) :args (@t88)) % 0.35/0.59 (step @p44 :rule trans :premises (@p43 @p41)) % 0.35/0.59 (step @p45 :rule nary_cong :premises (@p44 @p40) :args (@t89)) % 0.35/0.59 (step @p46 :rule trans :premises (@p45 @p39)) % 0.35/0.59 (step @p47 :rule cong :premises (@p46) :args ((forall @t86 @t89))) % 0.35/0.59 (step @p48 :rule trans :premises (@p47 @p38)) % 0.35/0.59 (step @p49 :rule quant-var-elim-eq :args ((= (forall @t93 @t92) @t89))) % 0.35/0.59 (step @p50 :rule aci_norm :args ((= @t94 @t92))) % 0.35/0.59 (step @p51 :rule cong :premises (@p50) :args (@t95)) % 0.35/0.59 (step @p52 :rule trans :premises (@p51 @p49)) % 0.35/0.59 (step @p53 :rule cong :premises (@p52) :args (@t96)) % 0.35/0.59 (step @p54 :rule quant-merge-prenex :args ((= @t96 @t97))) % 0.35/0.59 (step @p55 :rule symm :premises (@p54)) % 0.35/0.59 (step @p56 :rule quant_var_reordering :args ((= @t98 @t97))) % 0.35/0.59 (step @p57 :rule trans :premises (@p56 @p55 @p53)) % 0.35/0.59 (step @p58 :rule trans :premises (@p57 @p48)) % 0.35/0.59 (step @p59 :rule quant-merge-prenex :args ((= (forall @t34 @t100) @t98))) % 0.35/0.59 (step @p60 :rule alpha_equiv :args (@t101 (@list @t85) @t102)) % 0.35/0.59 (step @p61 :rule refl :args (@t91)) % 0.35/0.59 (step @p62 :rule nary_cong :premises (@p61 @p60) :args (@t103)) % 0.35/0.59 (step @p63 :rule quant-miniscope-or :args ((= @t100 @t103))) % 0.35/0.59 (step @p64 :rule trans :premises (@p63 @p62)) % 0.35/0.59 (step @p65 :rule symm :premises (@p64)) % 0.35/0.59 (step @p66 :rule cong :premises (@p65) :args ((forall @t34 (or @t91 @t106)))) % 0.35/0.59 (step @p67 :rule trans :premises (@p66 @p59)) % 0.35/0.59 (step @p68 :rule trans :premises (@p67 @p58)) % 0.35/0.59 (step @p69 :rule bool-impl-elim :args (@t32 @t106)) % 0.35/0.59 (step @p70 :rule cong :premises (@p69) :args ((forall @t34 (=> @t32 @t106)))) % 0.35/0.59 (step @p71 :rule trans :premises (@p70 @p68)) % 0.35/0.59 (step @p72 :rule aci_norm :args ((= (or false @t105) @t105))) % 0.35/0.59 (step @p73 :rule refl :args (@t105)) % 0.35/0.59 (step @p74 :rule eq-refl :args (@t1)) % 0.35/0.59 (step @p75 :rule cong :premises (@p74) :args (@t107)) % 0.35/0.59 (step @p76 :rule trans :premises (@p75 @p41)) % 0.35/0.59 (step @p77 :rule nary_cong :premises (@p76 @p73) :args (@t108)) % 0.35/0.59 (step @p78 :rule trans :premises (@p77 @p72)) % 0.35/0.59 (step @p79 :rule cong :premises (@p78) :args ((forall @t46 @t108))) % 0.35/0.59 (step @p80 :rule quant-var-elim-eq :args ((= (forall @t50 @t112) @t108))) % 0.35/0.59 (step @p81 :rule aci_norm :args ((= @t113 @t112))) % 0.35/0.59 (step @p82 :rule cong :premises (@p81) :args (@t114)) % 0.35/0.59 (step @p83 :rule trans :premises (@p82 @p80)) % 0.35/0.59 (step @p84 :rule cong :premises (@p83) :args (@t115)) % 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0.35/0.59 (step @p328 :rule not_implies_elim1 :premises (@p322)) % 0.35/0.59 (step @p329 :rule instantiate :premises (@p328) :args ((@list @t167 @t167))) % 0.35/0.59 (step @p330 :rule true_intro :premises (@p329)) % 0.35/0.59 (step @p331 :rule not_implies_elim2 :premises (@p324)) % 0.35/0.59 (step @p332 :rule skolemize :premises (@p331)) % 0.35/0.59 (step @p333 :rule bool-double-not-elim :args (@t171)) % 0.35/0.59 (step @p334 :rule refl :args (@t174)) % 0.35/0.59 (step @p335 :rule nary_cong :premises (@p334 @p333) :args ((or @t174 (not @t173)))) % 0.35/0.59 (step @p336 :rule cnf_or_neg :args (@t174 2)) % 0.35/0.59 (step @p337 :rule eq_resolve :premises (@p336 @p335)) % 0.35/0.59 (step @p338 :rule reordering :premises (@p337) :args ((or @t171 @t174))) % 0.35/0.59 (step @p339 :rule chain_m_resolution :premises (@p338 @p332) :args (@t171 @t175 @t176)) % 0.35/0.59 (step @p340 :rule refl :args (@t167)) % 0.35/0.59 (step @p341 :rule cong :premises (@p340 @p339) :args (@t177)) % 0.35/0.59 (step @p342 :rule trans :premises (@p341 @p330)) % 0.35/0.59 (step @p343 :rule true_elim :premises (@p342)) % 0.35/0.59 (step @p344 :rule cnf_or_neg :args (@t174 3)) % 0.35/0.59 (step @p345 :rule chain_m_resolution :premises (@p344 @p332) :args ((not @t172) @t175 @t176)) % 0.35/0.59 (step @p346 :rule cnf_or_pos :args (@t180)) % 0.35/0.59 (step @p347 :rule reordering :premises (@p346) :args ((or @t172 @t179 @t178 (not @t180)))) % 0.35/0.59 (step @p348 :rule chain_m_resolution :premises (@p347 @p345 @p343 @p327) :args (@t178 @t181 (@list @t172 @t177 @t180))) % 0.35/0.59 (step @p349 :rule refl :args (@t182)) % 0.35/0.59 (step @p350 :rule eq-symm :args (@t167 @t168)) % 0.35/0.59 (step @p351 :rule refl :args (@t184)) % 0.35/0.59 (step @p352 :rule nary_cong :premises (@p351 @p350 @p349) :args (@t185)) % 0.35/0.59 (step @p353 :rule cong :premises (@p9 @p352) :args ((=> @t76 @t185))) % 0.35/0.59 (assume-push @p380 @t76) % 0.35/0.59 (step @p355 :rule instantiate :premises (@p326) :args ((@list @t167 @t167 @t168))) % 0.35/0.59 (step-pop @p381 :rule scope :premises (@p355)) % 0.35/0.59 (step @p356 :rule process_scope :premises (@p381) :args (@t185)) % 0.35/0.59 (step @p358 :rule eq_resolve :premises (@p356 @p353)) % 0.35/0.59 (step @p359 :rule implies_elim :premises (@p358)) % 0.35/0.59 (step @p360 :rule chain_m_resolution :premises (@p359 @p326) :args (@t186 (@list false) (@list @t76))) % 0.35/0.59 (step @p361 :rule instantiate :premises (@p328) :args ((@list @t168 @t168))) % 0.35/0.59 (step @p362 :rule true_intro :premises (@p361)) % 0.35/0.59 (step @p363 :rule symm :premises (@p339)) % 0.35/0.59 (step @p364 :rule refl :args (@t168)) % 0.35/0.59 (step @p365 :rule cong :premises (@p364 @p363) :args (@t183)) % 0.35/0.59 (step @p366 :rule trans :premises (@p365 @p362)) % 0.35/0.59 (step @p367 :rule true_elim :premises (@p366)) % 0.35/0.59 (step @p368 :rule cnf_or_pos :args (@t186)) % 0.35/0.59 (step @p369 :rule reordering :premises (@p368) :args ((or @t172 @t184 @t182 (not @t186)))) % 0.35/0.59 (step @p370 :rule chain_m_resolution :premises (@p369 @p345 @p367 @p360) :args (@t182 @t181 (@list @t172 @t183 @t186))) % 0.35/0.59 (step @p371 :rule cnf_or_pos :args (@t189)) % 0.35/0.59 (step @p372 :rule reordering :premises (@p371) :args ((or @t188 @t187 @t190))) % 0.35/0.59 (step @p373 :rule chain_m_resolution :premises (@p372 @p370 @p348) :args (@t190 (@list false false) (@list @t182 @t178))) % 0.35/0.59 (assume-push @p382 @t71) % 0.35/0.59 (step @p375 :rule instantiate :premises (@p325) :args ((@list @t168 @t167))) % 0.35/0.59 (step-pop @p383 :rule scope :premises (@p375)) % 0.35/0.59 (step @p376 :rule process_scope :premises (@p383) :args (@t189)) % 0.35/0.59 (step @p378 :rule implies_elim :premises (@p376)) % 0.35/0.59 (step @p379 false :rule chain_m_resolution :premises (@p378 @p373 @p325) :args (false (@list true false) (@list @t189 @t71))) % 0.35/0.59 ) % 0.35/0.59 % SZS output end Proof % 0.35/0.59 % cvc5 exiting %------------------------------------------------------------------------------