%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU585^2 : 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 : n029.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 08:52:18 AM UTC 2026 % Result : Theorem 0.37s 0.58s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU585^2 : TPTP v9.2.1. Released v3.7.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.15/0.34 % Computer : n029.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 17:42:32 EDT 2026 % 0.15/0.34 % CPUTime : % 0.31/0.49 %----Proving TH0 % 0.37/0.58 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.37/0.58 % SZS status Theorem % 0.37/0.58 % SZS output start Proof % 0.37/0.58 ( % 0.37/0.58 (declare-sort $$unsorted 0) % 0.37/0.58 (declare-const tptp.emptyset $$unsorted) % 0.37/0.58 (declare-const tptp.setadjoin (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.58 (declare-const tptp.setunion (-> $$unsorted $$unsorted)) % 0.37/0.58 (declare-const tptp.uniqinunit Bool) % 0.37/0.58 (declare-const tptp.setunionE Bool) % 0.37/0.58 (declare-const tptp.setadjoinE Bool) % 0.37/0.58 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.37/0.58 (define tptp.binunion () (let ((_let_1 (@var "Xy" $$unsorted))) (let ((_let_2 (@var "Xx" $$unsorted))) (lambda (@list _let_2 _let_1) (_ tptp.setunion (_ (_ tptp.setadjoin _let_2) (_ (_ tptp.setadjoin _let_1) tptp.emptyset))))))) % 0.37/0.58 (define @t1 () (@var "Xphi" Bool)) % 0.37/0.58 (define @t2 () (@var "A" $$unsorted)) % 0.37/0.58 (define @t3 () (@var "Xy" $$unsorted)) % 0.37/0.58 (define @t4 () (_ tptp.in @t3)) % 0.37/0.58 (define @t5 () (_ @t4 @t2)) % 0.37/0.58 (define @t6 () (=> @t5 @t1)) % 0.37/0.58 (define @t7 () (=> @t6 @t1)) % 0.37/0.58 (define @t8 () (@var "Xx" $$unsorted)) % 0.37/0.58 (define @t9 () (=> (= @t3 @t8) @t1)) % 0.37/0.58 (define @t10 () (=> @t9 @t7)) % 0.37/0.58 (define @t11 () (@list @t1)) % 0.37/0.58 (define @t12 () (forall @t11 @t10)) % 0.37/0.58 (define @t13 () (_ tptp.setadjoin @t8)) % 0.37/0.58 (define @t14 () (_ @t13 @t2)) % 0.37/0.58 (define @t15 () (_ @t4 @t14)) % 0.37/0.58 (define @t16 () (=> @t15 @t12)) % 0.37/0.58 (define @t17 () (@list @t8 @t2 @t3)) % 0.37/0.58 (define @t18 () (forall @t17 @t16)) % 0.37/0.58 (define @t19 () (= tptp.setadjoinE @t18)) % 0.37/0.58 (define @t20 () (@var "B" $$unsorted)) % 0.37/0.58 (define @t21 () (_ (_ tptp.in @t20) @t2)) % 0.37/0.58 (define @t22 () (=> @t21 @t1)) % 0.37/0.58 (define @t23 () (_ tptp.in @t8)) % 0.37/0.58 (define @t24 () (_ @t23 @t20)) % 0.37/0.58 (define @t25 () (@list @t20)) % 0.37/0.58 (define @t26 () (forall @t25 (=> @t24 @t22))) % 0.37/0.58 (define @t27 () (=> @t26 @t1)) % 0.37/0.58 (define @t28 () (forall @t11 @t27)) % 0.37/0.58 (define @t29 () (_ tptp.setunion @t2)) % 0.37/0.58 (define @t30 () (_ @t23 @t29)) % 0.37/0.58 (define @t31 () (=> @t30 @t28)) % 0.37/0.58 (define @t32 () (@list @t2 @t8)) % 0.37/0.58 (define @t33 () (forall @t32 @t31)) % 0.37/0.58 (define @t34 () (= tptp.setunionE @t33)) % 0.37/0.58 (define @t35 () (= @t8 @t3)) % 0.37/0.58 (define @t36 () (_ (_ tptp.setadjoin @t3) tptp.emptyset)) % 0.37/0.58 (define @t37 () (_ @t23 @t36)) % 0.37/0.58 (define @t38 () (@list @t8 @t3)) % 0.37/0.58 (define @t39 () (forall @t38 (=> @t37 @t35))) % 0.37/0.58 (define @t40 () (= tptp.uniqinunit @t39)) % 0.37/0.58 (define @t41 () (=> @t24 @t1)) % 0.37/0.58 (define @t42 () (=> @t41 @t1)) % 0.37/0.58 (define @t43 () (_ @t23 @t2)) % 0.37/0.58 (define @t44 () (=> @t43 @t1)) % 0.37/0.58 (define @t45 () (=> @t44 @t42)) % 0.37/0.58 (define @t46 () (=> (_ @t23 (_ (_ tptp.binunion @t2) @t20)) @t45)) % 0.37/0.58 (define @t47 () (@list @t2 @t20 @t8 @t1)) % 0.37/0.58 (define @t48 () (forall @t47 @t46)) % 0.37/0.58 (define @t49 () (=> tptp.uniqinunit @t48)) % 0.37/0.58 (define @t50 () (=> tptp.setunionE @t49)) % 0.37/0.58 (define @t51 () (=> tptp.setadjoinE @t50)) % 0.37/0.58 (define @t52 () (not @t51)) % 0.37/0.58 (define @t53 () (lambda @t38 (_ tptp.setunion (_ @t13 @t36)))) % 0.37/0.58 (define @t54 () (tptp.in @t8 @t20)) % 0.37/0.58 (define @t55 () (tptp.in @t8 @t2)) % 0.37/0.58 (define @t56 () (tptp.setadjoin @t20 tptp.emptyset)) % 0.37/0.58 (define @t57 () (tptp.setadjoin @t2 @t56)) % 0.37/0.58 (define @t58 () (tptp.setunion @t57)) % 0.37/0.58 (define @t59 () (tptp.in @t8 @t58)) % 0.37/0.58 (define @t60 () (not @t59)) % 0.37/0.58 (define @t61 () (@list @t2 @t20 @t8)) % 0.37/0.58 (define @t62 () (forall @t61 (or @t60 @t55 @t54))) % 0.37/0.58 (define @t63 () (tptp.setadjoin @t3 tptp.emptyset)) % 0.37/0.58 (define @t64 () (tptp.in @t8 @t63)) % 0.37/0.58 (define @t65 () (not @t37)) % 0.37/0.58 (define @t66 () (or @t65 @t35)) % 0.37/0.58 (define @t67 () (=> tptp.uniqinunit @t62)) % 0.37/0.58 (define @t68 () (tptp.in @t20 @t2)) % 0.37/0.58 (define @t69 () (forall @t25 (or (not @t54) (not @t68)))) % 0.37/0.58 (define @t70 () (not @t69)) % 0.37/0.58 (define @t71 () (tptp.setunion @t2)) % 0.37/0.58 (define @t72 () (tptp.in @t8 @t71)) % 0.37/0.58 (define @t73 () (not @t30)) % 0.37/0.58 (define @t74 () (or @t73 @t70)) % 0.37/0.58 (define @t75 () (not false)) % 0.37/0.58 (define @t76 () (and @t75 @t70)) % 0.37/0.58 (define @t77 () (or @t76 false)) % 0.37/0.58 (define @t78 () (not @t1)) % 0.37/0.58 (define @t79 () (and @t78 @t70)) % 0.37/0.58 (define @t80 () (not (= @t1 false))) % 0.37/0.58 (define @t81 () (or @t1 @t79 @t1)) % 0.37/0.58 (define @t82 () (or @t79 @t1)) % 0.37/0.58 (define @t83 () (or @t1 @t69)) % 0.37/0.58 (define @t84 () (not @t21)) % 0.37/0.58 (define @t85 () (not @t24)) % 0.37/0.58 (define @t86 () (or @t85 @t84)) % 0.37/0.58 (define @t87 () (forall @t25 @t86)) % 0.37/0.58 (define @t88 () (or @t1 @t87)) % 0.37/0.58 (define @t89 () (or @t1 @t86)) % 0.37/0.58 (define @t90 () (or @t85 @t84 @t1)) % 0.37/0.58 (define @t91 () (=> tptp.setunionE @t67)) % 0.37/0.58 (define @t92 () (tptp.in @t3 @t2)) % 0.37/0.58 (define @t93 () (tptp.setadjoin @t8 @t2)) % 0.37/0.58 (define @t94 () (tptp.in @t3 @t93)) % 0.37/0.58 (define @t95 () (not @t15)) % 0.37/0.58 (define @t96 () (or @t95 @t35 @t92)) % 0.37/0.58 (define @t97 () (or @t35 @t92)) % 0.37/0.58 (define @t98 () (and @t92 @t75)) % 0.37/0.58 (define @t99 () (and @t35 @t75)) % 0.37/0.58 (define @t100 () (or @t99 @t98)) % 0.37/0.58 (define @t101 () (or @t99 @t98 false)) % 0.37/0.58 (define @t102 () (and @t92 @t78)) % 0.37/0.58 (define @t103 () (and @t35 @t78)) % 0.37/0.58 (define @t104 () (or @t1 @t103 @t102 @t1)) % 0.37/0.58 (define @t105 () (or @t103 @t102 @t1)) % 0.37/0.58 (define @t106 () (and @t5 @t78)) % 0.37/0.58 (define @t107 () (or @t103 @t106 @t1)) % 0.37/0.58 (define @t108 () (=> @t35 @t1)) % 0.37/0.58 (define @t109 () (=> tptp.setadjoinE @t91)) % 0.37/0.58 (define @t110 () (and @t54 @t75)) % 0.37/0.58 (define @t111 () (and @t55 @t75)) % 0.37/0.58 (define @t112 () (or @t60 @t111 @t110)) % 0.37/0.58 (define @t113 () (or @t60 @t111 @t110 false)) % 0.37/0.58 (define @t114 () (and @t54 @t78)) % 0.37/0.58 (define @t115 () (and @t55 @t78)) % 0.37/0.58 (define @t116 () (or @t1 @t60 @t115 @t114 @t1)) % 0.37/0.58 (define @t117 () (or @t60 @t115 @t114 @t1)) % 0.37/0.58 (define @t118 () (forall @t11 @t117)) % 0.37/0.58 (define @t119 () (forall @t61 @t118)) % 0.37/0.58 (define @t120 () (and @t24 @t78)) % 0.37/0.58 (define @t121 () (and @t43 @t78)) % 0.37/0.58 (define @t122 () (_ (_ tptp.setadjoin @t20) tptp.emptyset)) % 0.37/0.58 (define @t123 () (_ tptp.setadjoin @t2)) % 0.37/0.58 (define @t124 () (_ @t123 @t122)) % 0.37/0.58 (define @t125 () (_ tptp.setunion @t124)) % 0.37/0.58 (define @t126 () (_ @t23 @t125)) % 0.37/0.58 (define @t127 () (not @t126)) % 0.37/0.58 (define @t128 () (or @t127 @t121 @t120 @t1)) % 0.37/0.58 (define @t129 () (or @t121 @t120 @t1)) % 0.37/0.58 (define @t130 () (lambda (@list @t3) (_ tptp.setunion (_ @t123 @t36)))) % 0.37/0.58 (define @t131 () (_ @t53 @t2)) % 0.37/0.58 (define @t132 () (=> (_ @t23 (_ @t131 @t20)) @t45)) % 0.37/0.58 (define @t133 () (forall @t47 @t132)) % 0.37/0.58 (define @t134 () (=> tptp.uniqinunit @t133)) % 0.37/0.58 (define @t135 () (=> tptp.setunionE @t134)) % 0.37/0.58 (define @t136 () (=> tptp.setadjoinE @t135)) % 0.37/0.58 (define @t137 () (@quantifiers_skolemize @t62 1)) % 0.37/0.58 (define @t138 () (@quantifiers_skolemize @t62 2)) % 0.37/0.58 (define @t139 () (tptp.in @t138 @t137)) % 0.37/0.58 (define @t140 () (@quantifiers_skolemize @t62 0)) % 0.37/0.58 (define @t141 () (tptp.in @t138 @t140)) % 0.37/0.58 (define @t142 () (tptp.setadjoin @t137 tptp.emptyset)) % 0.37/0.58 (define @t143 () (tptp.setadjoin @t140 @t142)) % 0.37/0.58 (define @t144 () (tptp.in @t138 (tptp.setunion @t143))) % 0.37/0.58 (define @t145 () (not @t144)) % 0.37/0.58 (define @t146 () (or @t145 @t141 @t139)) % 0.37/0.58 (define @t147 () (not @t139)) % 0.37/0.58 (define @t148 () (@list true)) % 0.37/0.58 (define @t149 () (@list @t146)) % 0.37/0.58 (define @t150 () (forall @t25 (or (not (tptp.in @t138 @t20)) (not (tptp.in @t20 @t143))))) % 0.37/0.58 (define @t151 () (not @t150)) % 0.37/0.58 (define @t152 () (or @t145 @t151)) % 0.37/0.58 (define @t153 () (@list false false)) % 0.37/0.58 (define @t154 () (@quantifiers_skolemize @t150 0)) % 0.37/0.58 (define @t155 () (tptp.in @t138 @t154)) % 0.37/0.58 (define @t156 () (tptp.in @t154 @t143)) % 0.37/0.58 (define @t157 () (not @t156)) % 0.37/0.58 (define @t158 () (not @t155)) % 0.37/0.58 (define @t159 () (or @t158 @t157)) % 0.37/0.58 (define @t160 () (@list @t159)) % 0.37/0.58 (define @t161 () (tptp.in @t154 @t142)) % 0.37/0.58 (define @t162 () (not @t161)) % 0.37/0.58 (define @t163 () (or @t162 (= @t154 @t137))) % 0.37/0.58 (define @t164 () (forall @t38 (or (not @t64) @t35))) % 0.37/0.58 (define @t165 () (= @t137 @t154)) % 0.37/0.58 (define @t166 () (or @t162 @t165)) % 0.37/0.58 (define @t167 () (not @t141)) % 0.37/0.58 (define @t168 () (= @t140 @t154)) % 0.37/0.58 (define @t169 () (not @t168)) % 0.37/0.58 (define @t170 () (= true false)) % 0.37/0.58 (define @t171 () (and @t167 @t168 @t155)) % 0.37/0.58 (define @t172 () (or @t157 @t168 @t161)) % 0.37/0.58 (define @t173 () (not @t165)) % 0.37/0.58 (define @t174 () (and @t147 @t165 @t155)) % 0.37/0.58 (assume @p1 @t19) % 0.37/0.58 (assume @p2 @t34) % 0.37/0.58 (assume @p3 @t40) % 0.37/0.58 (assume @p4 @t52) % 0.37/0.58 (assume @p5 true) % 0.37/0.58 (step @p6 (= tptp.binunion @t53) :rule refl :args (@t53)) % 0.37/0.58 (step @p7 :rule refl :args (@t62)) % 0.37/0.58 (step @p8 :rule refl :args (@t35)) % 0.37/0.58 (step @p9 :rule refl :args ((tptp.in @t8 @t36))) % 0.37/0.58 (step @p10 :rule refl :args (@t63)) % 0.37/0.58 (step @p11 :rule refl :args (@t8)) % 0.37/0.58 (step @p12 :rule cong :premises (@p11 @p10) :args (@t64)) % 0.37/0.58 (step @p13 :rule trans :premises (@p12 @p9)) % 0.37/0.58 (step @p14 :rule refl :args (@t23)) % 0.37/0.58 (step @p15 :rule ho_cong :premises (@p14 @p10)) % 0.37/0.58 (step @p16 :rule cong :premises (@p15 @p13) :args ((= (_ @t23 @t63) @t64))) % 0.37/0.58 (step @p17 :rule symm :premises (@p16)) % 0.37/0.58 (step @p18 :rule refl :args (@t37)) % 0.37/0.58 (step @p19 :rule eq_resolve :premises (@p18 @p17)) % 0.37/0.58 (step @p20 :rule refl :args (@t36)) % 0.37/0.58 (step @p21 :rule cong :premises (@p20 @p10) :args ((= @t36 @t63))) % 0.37/0.58 (step @p22 :rule symm :premises (@p21)) % 0.37/0.58 (step @p23 :rule eq_resolve :premises (@p20 @p22)) % 0.37/0.58 (step @p24 :rule ho_cong :premises (@p14 @p23)) % 0.37/0.58 (step @p25 :rule trans :premises (@p24 @p19)) % 0.37/0.58 (step @p26 :rule cong :premises (@p25) :args (@t65)) % 0.37/0.58 (step @p27 :rule nary_cong :premises (@p26 @p8) :args (@t66)) % 0.37/0.58 (step @p28 :rule cong :premises (@p27) :args ((forall @t38 @t66))) % 0.37/0.58 (step @p29 :rule bool-impl-elim :args (@t37 @t35)) % 0.37/0.58 (step @p30 :rule cong :premises (@p29) :args (@t39)) % 0.37/0.58 (step @p31 :rule trans :premises (@p30 @p28)) % 0.37/0.58 (step @p32 :rule refl :args (tptp.uniqinunit)) % 0.37/0.58 (step @p33 :rule cong :premises (@p32 @p31) :args (@t40)) % 0.37/0.58 (step @p34 :rule eq_resolve :premises (@p3 @p33)) % 0.37/0.58 (step @p35 :rule cong :premises (@p34 @p7) :args (@t67)) % 0.37/0.58 (step @p36 :rule refl :args (@t70)) % 0.37/0.58 (step @p37 :rule refl :args ((tptp.in @t8 @t29))) % 0.37/0.58 (step @p38 :rule refl :args (@t71)) % 0.37/0.58 (step @p39 :rule cong :premises (@p11 @p38) :args (@t72)) % 0.37/0.58 (step @p40 :rule trans :premises (@p39 @p37)) % 0.37/0.58 (step @p41 :rule ho_cong :premises (@p14 @p38)) % 0.37/0.58 (step @p42 :rule cong :premises (@p41 @p40) :args ((= (_ @t23 @t71) @t72))) % 0.37/0.58 (step @p43 :rule symm :premises (@p42)) % 0.37/0.58 (step @p44 :rule refl :args (@t30)) % 0.37/0.58 (step @p45 :rule eq_resolve :premises (@p44 @p43)) % 0.37/0.58 (step @p46 :rule refl :args (@t29)) % 0.37/0.58 (step @p47 :rule cong :premises (@p46 @p38) :args ((= @t29 @t71))) % 0.37/0.58 (step @p48 :rule symm :premises (@p47)) % 0.37/0.58 (step @p49 :rule eq_resolve :premises (@p46 @p48)) % 0.37/0.58 (step @p50 :rule ho_cong :premises (@p14 @p49)) % 0.37/0.58 (step @p51 :rule trans :premises (@p50 @p45)) % 0.37/0.58 (step @p52 :rule cong :premises (@p51) :args (@t73)) % 0.37/0.58 (step @p53 :rule nary_cong :premises (@p52 @p36) :args (@t74)) % 0.37/0.58 (step @p54 :rule cong :premises (@p53) :args ((forall @t32 @t74))) % 0.37/0.58 (step @p55 :rule bool-impl-elim :args (@t30 @t70)) % 0.37/0.58 (step @p56 :rule cong :premises (@p55) :args ((forall @t32 (=> @t30 @t70)))) % 0.37/0.58 (step @p57 :rule trans :premises (@p56 @p54)) % 0.37/0.58 (step @p58 :rule aci_norm :args ((= (and true @t70) @t70))) % 0.37/0.58 (step @p59 :rule refl :args (@t70)) % 0.37/0.58 (step @p60 :rule evaluate :args (@t75)) % 0.37/0.58 (step @p61 :rule nary_cong :premises (@p60 @p59) :args (@t76)) % 0.37/0.58 (step @p62 :rule trans :premises (@p61 @p58)) % 0.37/0.58 (step @p63 :rule aci_norm :args ((= @t77 @t76))) % 0.37/0.58 (step @p64 :rule trans :premises (@p63 @p62)) % 0.37/0.58 (step @p65 :rule quant-var-elim-eq :args ((= (forall @t11 (or @t80 @t79 @t1)) @t77))) % 0.37/0.58 (step @p66 :rule refl :args (@t1)) % 0.37/0.58 (step @p67 :rule refl :args (@t79)) % 0.37/0.58 (step @p68 :rule bool-eq-false :args (@t1)) % 0.37/0.58 (step @p69 :rule symm :premises (@p68)) % 0.37/0.58 (step @p70 :rule cong :premises (@p69) :args ((not @t78))) % 0.37/0.58 (step @p71 :rule bool-double-not-elim :args (@t1)) % 0.37/0.58 (step @p72 :rule symm :premises (@p71)) % 0.37/0.58 (step @p73 :rule trans :premises (@p72 @p70)) % 0.37/0.58 (step @p74 :rule nary_cong :premises (@p73 @p67 @p66) :args (@t81)) % 0.37/0.58 (step @p75 :rule aci_norm :args ((= @t82 @t81))) % 0.37/0.58 (step @p76 :rule trans :premises (@p75 @p74)) % 0.37/0.58 (step @p77 :rule cong :premises (@p76) :args ((forall @t11 @t82))) % 0.37/0.58 (step @p78 :rule trans :premises (@p77 @p65)) % 0.37/0.58 (step @p79 :rule trans :premises (@p78 @p64)) % 0.37/0.58 (step @p80 :rule bool-or-de-morgan :args (@t1 @t69 false)) % 0.37/0.58 (step @p81 :rule nary_cong :premises (@p80 @p66) :args ((or (not @t83) @t1))) % 0.37/0.58 (step @p82 :rule bool-impl-elim :args (@t83 @t1)) % 0.37/0.58 (step @p83 :rule trans :premises (@p82 @p81)) % 0.37/0.58 (step @p84 :rule cong :premises (@p83) :args ((forall @t11 (=> @t83 @t1)))) % 0.37/0.58 (step @p85 :rule trans :premises (@p84 @p79)) % 0.37/0.58 (step @p86 :rule refl :args (@t1)) % 0.37/0.58 (step @p87 :rule refl :args (@t68)) % 0.37/0.58 (step @p88 :rule refl :args (@t21)) % 0.37/0.58 (step @p89 :rule cong :premises (@p88 @p87) :args ((= @t21 @t68))) % 0.37/0.58 (step @p90 :rule symm :premises (@p89)) % 0.37/0.58 (step @p91 :rule eq_resolve :premises (@p88 @p90)) % 0.37/0.58 (step @p92 :rule cong :premises (@p91) :args (@t84)) % 0.37/0.58 (step @p93 :rule refl :args (@t54)) % 0.37/0.58 (step @p94 :rule refl :args (@t24)) % 0.37/0.58 (step @p95 :rule cong :premises (@p94 @p93) :args ((= @t24 @t54))) % 0.37/0.58 (step @p96 :rule symm :premises (@p95)) % 0.37/0.58 (step @p97 :rule eq_resolve :premises 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0.37/0.58 (step @p338 :rule not_implies_elim1 :premises (@p332)) % 0.37/0.58 (step @p339 :rule instantiate :premises (@p338) :args ((@list @t143 @t138))) % 0.37/0.58 (step @p340 :rule bool-double-not-elim :args (@t144)) % 0.37/0.58 (step @p341 :rule refl :args (@t146)) % 0.37/0.58 (step @p342 :rule nary_cong :premises (@p341 @p340) :args ((or @t146 (not @t145)))) % 0.37/0.58 (step @p343 :rule cnf_or_neg :args (@t146 0)) % 0.37/0.58 (step @p344 :rule eq_resolve :premises (@p343 @p342)) % 0.37/0.58 (step @p345 :rule reordering :premises (@p344) :args ((or @t144 @t146))) % 0.37/0.58 (step @p346 :rule chain_m_resolution :premises (@p345 @p335) :args (@t144 @t148 @t149)) % 0.37/0.58 (step @p347 :rule cnf_or_pos :args (@t152)) % 0.37/0.58 (step @p348 :rule reordering :premises (@p347) :args ((or @t145 @t151 (not @t152)))) % 0.37/0.58 (step @p349 :rule chain_m_resolution :premises (@p348 @p346 @p339) :args (@t151 @t153 (@list @t144 @t152))) % 0.37/0.58 (step @p350 :rule skolemize :premises (@p349)) % 0.37/0.58 (step @p351 :rule bool-double-not-elim :args (@t155)) % 0.37/0.58 (step @p352 :rule refl :args (@t159)) % 0.37/0.58 (step @p353 :rule nary_cong :premises (@p352 @p351) :args ((or @t159 (not @t158)))) % 0.37/0.58 (step @p354 :rule cnf_or_neg :args (@t159 0)) % 0.37/0.58 (step @p355 :rule eq_resolve :premises (@p354 @p353)) % 0.37/0.58 (step @p356 :rule reordering :premises (@p355) :args ((or @t155 @t159))) % 0.37/0.58 (step @p357 :rule chain_m_resolution :premises (@p356 @p350) :args (@t155 @t148 @t160)) % 0.37/0.58 (step @p358 :rule not_implies_elim1 :premises (@p333)) % 0.37/0.58 (step @p359 :rule eq-symm :args (@t154 @t137)) % 0.37/0.58 (step @p360 :rule refl :args (@t162)) % 0.37/0.58 (step @p361 :rule nary_cong :premises (@p360 @p359) :args (@t163)) % 0.37/0.58 (step @p362 :rule refl :args (@t164)) % 0.37/0.58 (step @p363 :rule cong :premises (@p362 @p361) :args ((=> @t164 @t163))) % 0.37/0.58 (assume-push @p448 @t164) % 0.37/0.58 (step @p365 :rule instantiate :premises (@p358) :args ((@list @t154 @t137))) % 0.37/0.58 (step-pop @p449 :rule scope :premises (@p365)) % 0.37/0.58 (step @p366 :rule process_scope :premises (@p449) :args (@t163)) % 0.37/0.58 (step @p368 :rule eq_resolve :premises (@p366 @p363)) % 0.37/0.58 (step @p369 :rule implies_elim :premises (@p368)) % 0.37/0.58 (step @p370 :rule chain_m_resolution :premises (@p369 @p358) :args (@t166 (@list false) (@list @t164))) % 0.37/0.58 (step @p371 :rule not_implies_elim1 :premises (@p331)) % 0.37/0.58 (step @p372 :rule instantiate :premises (@p371) :args ((@list @t140 @t142 @t154))) % 0.37/0.58 (step @p373 :rule cnf_or_neg :args (@t146 1)) % 0.37/0.58 (step @p374 :rule chain_m_resolution :premises (@p373 @p335) :args (@t167 @t148 @t149)) % 0.37/0.58 (step @p375 :rule refl :args (@t169)) % 0.37/0.58 (step @p376 :rule refl :args (@t158)) % 0.37/0.58 (step @p377 :rule bool-double-not-elim :args (@t141)) % 0.37/0.58 (step @p378 :rule nary_cong :premises (@p377 @p376 @p375) :args ((or (not @t167) @t158 @t169))) % 0.37/0.58 (assume-push @p450 @t167) % 0.37/0.58 (assume-push @p451 @t168) % 0.37/0.58 (assume-push @p452 @t155) % 0.37/0.58 (step @p382 :rule evaluate :args (@t170)) % 0.37/0.58 (step @p383 :rule false_intro :premises (@p374)) % 0.37/0.58 (step @p384 :rule symm :premises (@p451)) % 0.37/0.58 (step @p385 :rule refl :args (@t138)) % 0.37/0.58 (step @p386 :rule cong :premises (@p385 @p384) :args (@t155)) % 0.37/0.58 (step @p387 :rule true_intro :premises (@p357)) % 0.37/0.58 (step @p388 :rule symm :premises (@p387)) % 0.37/0.58 (step @p389 :rule trans :premises (@p388 @p386 @p383)) % 0.37/0.58 (step @p390 false :rule eq_resolve :premises (@p389 @p382)) % 0.37/0.58 (step-pop @p453 :rule scope :premises (@p390)) % 0.37/0.58 (step-pop @p454 :rule scope :premises (@p453)) % 0.37/0.58 (step-pop @p455 :rule scope :premises (@p454)) % 0.37/0.58 (step @p391 :rule process_scope :premises (@p455) :args (false)) % 0.37/0.58 (assume-push @p456 @t167) % 0.37/0.58 (assume-push @p457 @t155) % 0.37/0.58 (assume-push @p458 @t168) % 0.37/0.58 (step @p398 :rule and_intro :premises (@p374 @p458 @p357)) % 0.37/0.58 (step-pop @p459 :rule scope :premises (@p398)) % 0.37/0.58 (step-pop @p460 :rule scope :premises (@p459)) % 0.37/0.58 (step-pop @p461 :rule scope :premises (@p460)) % 0.37/0.58 (step @p399 :rule process_scope :premises (@p461) :args (@t171)) % 0.37/0.58 (step @p403 :rule implies_elim :premises (@p399)) % 0.37/0.58 (step @p404 :rule resolution :premises (@p403 @p391) :args (true @t171)) % 0.37/0.58 (step @p405 :rule not_and :premises (@p404)) % 0.37/0.58 (step @p406 :rule eq_resolve :premises (@p405 @p378)) % 0.37/0.58 (step @p407 :rule chain_m_resolution :premises (@p406 @p374 @p357) :args (@t169 (@list true false) (@list @t141 @t155))) % 0.37/0.58 (step @p408 :rule bool-double-not-elim :args (@t156)) % 0.37/0.58 (step @p409 :rule nary_cong :premises (@p352 @p408) :args ((or @t159 (not @t157)))) % 0.37/0.58 (step @p410 :rule cnf_or_neg :args (@t159 1)) % 0.37/0.58 (step @p411 :rule eq_resolve :premises (@p410 @p409)) % 0.37/0.58 (step @p412 :rule reordering :premises (@p411) :args ((or @t156 @t159))) % 0.37/0.58 (step @p413 :rule chain_m_resolution :premises (@p412 @p350) :args (@t156 @t148 @t160)) % 0.37/0.58 (step @p414 :rule cnf_or_pos :args (@t172)) % 0.37/0.58 (step @p415 :rule reordering :premises (@p414) :args ((or @t157 @t168 @t161 (not @t172)))) % 0.37/0.58 (step @p416 :rule chain_m_resolution :premises (@p415 @p413 @p407 @p372) :args (@t161 (@list false true false) (@list @t156 @t168 @t172))) % 0.37/0.58 (step @p417 :rule cnf_or_pos :args (@t166)) % 0.37/0.58 (step @p418 :rule reordering :premises (@p417) :args ((or @t162 @t165 (not @t166)))) % 0.37/0.58 (step @p419 :rule chain_m_resolution :premises (@p418 @p416 @p370) :args (@t165 @t153 (@list @t161 @t166))) % 0.37/0.58 (step @p420 :rule refl :args (@t173)) % 0.37/0.58 (step @p421 :rule bool-double-not-elim :args (@t139)) % 0.37/0.58 (step @p422 :rule nary_cong :premises (@p421 @p376 @p420) :args ((or (not @t147) @t158 @t173))) % 0.37/0.58 (assume-push @p462 @t147) % 0.37/0.58 (assume-push @p463 @t165) % 0.37/0.58 (assume-push @p464 @t155) % 0.37/0.58 (step @p382 :rule evaluate :args (@t170)) % 0.37/0.58 (step @p426 :rule false_intro :premises (@p337)) % 0.37/0.58 (step @p427 :rule symm :premises (@p463)) % 0.37/0.58 (step @p385 :rule refl :args (@t138)) % 0.37/0.58 (step @p428 :rule cong :premises (@p385 @p427) :args (@t155)) % 0.37/0.58 (step @p387 :rule true_intro :premises (@p357)) % 0.37/0.58 (step @p388 :rule symm :premises (@p387)) % 0.37/0.58 (step @p429 :rule trans :premises (@p388 @p428 @p426)) % 0.37/0.58 (step @p430 false :rule eq_resolve :premises (@p429 @p382)) % 0.37/0.58 (step-pop @p465 :rule scope :premises (@p430)) % 0.37/0.58 (step-pop @p466 :rule scope :premises (@p465)) % 0.37/0.58 (step-pop @p467 :rule scope :premises (@p466)) % 0.37/0.58 (step @p431 :rule process_scope :premises (@p467) :args (false)) % 0.37/0.58 (assume-push @p468 @t147) % 0.37/0.58 (assume-push @p469 @t155) % 0.37/0.58 (assume-push @p470 @t165) % 0.37/0.58 (step @p438 :rule and_intro :premises (@p337 @p470 @p357)) % 0.37/0.58 (step-pop @p471 :rule scope :premises (@p438)) % 0.37/0.58 (step-pop @p472 :rule scope :premises (@p471)) % 0.37/0.58 (step-pop @p473 :rule scope :premises (@p472)) % 0.37/0.58 (step @p439 :rule process_scope :premises (@p473) :args (@t174)) % 0.37/0.58 (step @p443 :rule implies_elim :premises (@p439)) % 0.37/0.58 (step @p444 :rule resolution :premises (@p443 @p431) :args (true @t174)) % 0.37/0.58 (step @p445 :rule not_and :premises (@p444)) % 0.37/0.58 (step @p446 :rule eq_resolve :premises (@p445 @p422)) % 0.37/0.58 (step @p447 false :rule chain_m_resolution :premises (@p446 @p419 @p357 @p337) :args (false (@list false false true) (@list @t165 @t155 @t139))) % 0.37/0.58 ) % 0.37/0.58 % SZS output end Proof % 0.37/0.58 % cvc5 exiting %------------------------------------------------------------------------------