%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYO248^5 : TPTP v9.2.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n015.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 09:12:18 AM UTC 2026 % Result : Theorem 0.37s 0.59s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.13 % Problem : SYO248^5 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.35 % Computer : n015.cluster.edu % 0.16/0.35 % Model : x86_64 x86_64 % 0.16/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.35 % Memory : 8042.1875MB % 0.16/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.35 % CPULimit : 300 % 0.16/0.35 % WCLimit : 300 % 0.16/0.35 % DateTime : Wed Jun 3 00:01:34 EDT 2026 % 0.16/0.35 % CPUTime : % 0.32/0.51 %----Proving TH0 % 0.37/0.59 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.37/0.59 % SZS status Theorem % 0.37/0.59 % SZS output start Proof % 0.37/0.59 ( % 0.37/0.59 (declare-sort $$unsorted 0) % 0.37/0.59 (declare-const tptp.a $$unsorted) % 0.37/0.59 (declare-const tptp.aa $$unsorted) % 0.37/0.59 (declare-const tptp.b $$unsorted) % 0.37/0.59 (declare-const tptp.bb $$unsorted) % 0.37/0.59 (declare-const tptp.c $$unsorted) % 0.37/0.59 (declare-const tptp.cc $$unsorted) % 0.37/0.59 (declare-const tptp.d $$unsorted) % 0.37/0.59 (declare-const tptp.dd $$unsorted) % 0.37/0.59 (declare-const tptp.e $$unsorted) % 0.37/0.59 (declare-const tptp.ee $$unsorted) % 0.37/0.59 (declare-const tptp.h $$unsorted) % 0.37/0.59 (declare-const tptp.hh $$unsorted) % 0.37/0.59 (define @t1 () (@var "P" (-> $$unsorted $$unsorted Bool))) % 0.37/0.59 (define @t2 () (_ @t1 tptp.hh)) % 0.37/0.59 (define @t3 () (_ @t1 tptp.h)) % 0.37/0.59 (define @t4 () (= @t3 @t2)) % 0.37/0.59 (define @t5 () (not @t4)) % 0.37/0.59 (define @t6 () (_ @t1 tptp.ee)) % 0.37/0.59 (define @t7 () (_ @t1 tptp.e)) % 0.37/0.59 (define @t8 () (= @t7 @t6)) % 0.37/0.59 (define @t9 () (not @t8)) % 0.37/0.59 (define @t10 () (_ @t1 tptp.dd)) % 0.37/0.59 (define @t11 () (_ @t1 tptp.d)) % 0.37/0.59 (define @t12 () (= @t11 @t10)) % 0.37/0.59 (define @t13 () (not @t12)) % 0.37/0.59 (define @t14 () (_ @t1 tptp.cc)) % 0.37/0.59 (define @t15 () (_ @t1 tptp.c)) % 0.37/0.59 (define @t16 () (= @t15 @t14)) % 0.37/0.59 (define @t17 () (not @t16)) % 0.37/0.59 (define @t18 () (_ @t1 tptp.bb)) % 0.37/0.59 (define @t19 () (_ @t1 tptp.b)) % 0.37/0.59 (define @t20 () (= @t19 @t18)) % 0.37/0.59 (define @t21 () (not @t20)) % 0.37/0.59 (define @t22 () (_ @t1 tptp.a)) % 0.37/0.59 (define @t23 () (= @t22 (_ @t1 tptp.aa))) % 0.37/0.59 (define @t24 () (not @t23)) % 0.37/0.59 (define @t25 () (or @t24 @t21 @t17 @t13 @t9 @t5)) % 0.37/0.59 (define @t26 () (= @t11 @t6)) % 0.37/0.59 (define @t27 () (= @t7 @t2)) % 0.37/0.59 (define @t28 () (not @t27)) % 0.37/0.59 (define @t29 () (and @t20 (= @t18 @t15) @t16 @t28)) % 0.37/0.59 (define @t30 () (=> @t29 @t26)) % 0.37/0.59 (define @t31 () (not (= @t22 @t18))) % 0.37/0.59 (define @t32 () (= @t15 @t10)) % 0.37/0.59 (define @t33 () (and @t8 @t4 @t32)) % 0.37/0.59 (define @t34 () (=> @t33 @t31)) % 0.37/0.59 (define @t35 () (= @t19 @t14)) % 0.37/0.59 (define @t36 () (not @t35)) % 0.37/0.59 (define @t37 () (and @t23 @t12 @t36)) % 0.37/0.59 (define @t38 () (=> @t37 @t27)) % 0.37/0.59 (define @t39 () (and @t16 (= @t14 @t11) @t12 @t31)) % 0.37/0.59 (define @t40 () (=> @t39 @t28)) % 0.37/0.59 (define @t41 () (not @t26)) % 0.37/0.59 (define @t42 () (and @t23 @t4 @t35)) % 0.37/0.59 (define @t43 () (=> @t42 @t41)) % 0.37/0.59 (define @t44 () (and @t23 @t20 @t27)) % 0.37/0.59 (define @t45 () (=> @t44 @t32)) % 0.37/0.59 (define @t46 () (and @t45 @t43 @t40 @t38 @t34 @t30)) % 0.37/0.59 (define @t47 () (=> @t46 @t25)) % 0.37/0.59 (define @t48 () (@list @t1)) % 0.37/0.59 (define @t49 () (forall @t48 @t47)) % 0.37/0.59 (define @t50 () (not @t49)) % 0.37/0.59 (define @t51 () (= @t2 @t3)) % 0.37/0.59 (define @t52 () (not @t51)) % 0.37/0.59 (define @t53 () (= @t6 @t7)) % 0.37/0.59 (define @t54 () (not @t53)) % 0.37/0.59 (define @t55 () (= @t10 @t11)) % 0.37/0.59 (define @t56 () (not @t55)) % 0.37/0.59 (define @t57 () (= @t14 @t15)) % 0.37/0.59 (define @t58 () (not @t57)) % 0.37/0.59 (define @t59 () (= @t18 @t19)) % 0.37/0.59 (define @t60 () (not @t59)) % 0.37/0.59 (define @t61 () (= @t6 @t11)) % 0.37/0.59 (define @t62 () (not @t61)) % 0.37/0.59 (define @t63 () (= @t2 @t7)) % 0.37/0.59 (define @t64 () (not @t63)) % 0.37/0.59 (define @t65 () (= @t15 @t18)) % 0.37/0.59 (define @t66 () (and @t59 @t65 @t57 @t64 @t62)) % 0.37/0.59 (define @t67 () (= @t18 @t22)) % 0.37/0.59 (define @t68 () (= @t10 @t15)) % 0.37/0.59 (define @t69 () (and @t53 @t51 @t68 @t67)) % 0.37/0.59 (define @t70 () (= @t14 @t19)) % 0.37/0.59 (define @t71 () (not @t70)) % 0.37/0.59 (define @t72 () (and @t23 @t55 @t71 @t64)) % 0.37/0.59 (define @t73 () (not @t67)) % 0.37/0.59 (define @t74 () (= @t11 @t14)) % 0.37/0.59 (define @t75 () (and @t57 @t74 @t55 @t73 @t63)) % 0.37/0.59 (define @t76 () (and @t23 @t51 @t70 @t61)) % 0.37/0.59 (define @t77 () (not @t68)) % 0.37/0.59 (define @t78 () (and @t23 @t59 @t63 @t77)) % 0.37/0.59 (define @t79 () (or @t78 @t76 @t75 @t72 @t69 @t66 @t24 @t60 @t58 @t56 @t54 @t52)) % 0.37/0.59 (define @t80 () (or @t24 @t60 @t58 @t56 @t54 @t52)) % 0.37/0.59 (define @t81 () (and @t59 @t65 @t57 @t64)) % 0.37/0.59 (define @t82 () (and @t53 @t51 @t68)) % 0.37/0.59 (define @t83 () (and @t23 @t55 @t71)) % 0.37/0.59 (define @t84 () (and @t57 @t74 @t55 @t73)) % 0.37/0.59 (define @t85 () (and @t23 @t51 @t70)) % 0.37/0.59 (define @t86 () (and @t23 @t59 @t63)) % 0.37/0.59 (define @t87 () (=> @t81 @t61)) % 0.37/0.59 (define @t88 () (not @t87)) % 0.37/0.59 (define @t89 () (=> @t82 @t73)) % 0.37/0.59 (define @t90 () (not @t89)) % 0.37/0.59 (define @t91 () (=> @t83 @t63)) % 0.37/0.59 (define @t92 () (not @t91)) % 0.37/0.59 (define @t93 () (=> @t84 @t64)) % 0.37/0.59 (define @t94 () (not @t93)) % 0.37/0.59 (define @t95 () (=> @t85 @t62)) % 0.37/0.59 (define @t96 () (not @t95)) % 0.37/0.59 (define @t97 () (=> @t86 @t68)) % 0.37/0.59 (define @t98 () (not @t97)) % 0.37/0.59 (define @t99 () (or @t98 @t96 @t94 @t92 @t90 @t88)) % 0.37/0.59 (define @t100 () (and @t97 @t95 @t93 @t91 @t89 @t87)) % 0.37/0.59 (define @t101 () (forall @t48 @t79)) % 0.37/0.59 (define @t102 () (@quantifiers_skolemize @t101 0)) % 0.37/0.59 (define @t103 () (_ @t102 tptp.hh)) % 0.37/0.59 (define @t104 () (= @t103 (_ @t102 tptp.h))) % 0.37/0.59 (define @t105 () (not @t104)) % 0.37/0.59 (define @t106 () (_ @t102 tptp.ee)) % 0.37/0.59 (define @t107 () (_ @t102 tptp.e)) % 0.37/0.59 (define @t108 () (= @t107 @t106)) % 0.37/0.59 (define @t109 () (not @t108)) % 0.37/0.59 (define @t110 () (_ @t102 tptp.d)) % 0.37/0.59 (define @t111 () (_ @t102 tptp.dd)) % 0.37/0.59 (define @t112 () (= @t111 @t110)) % 0.37/0.59 (define @t113 () (not @t112)) % 0.37/0.59 (define @t114 () (_ @t102 tptp.cc)) % 0.37/0.59 (define @t115 () (_ @t102 tptp.c)) % 0.37/0.59 (define @t116 () (= @t115 @t114)) % 0.37/0.59 (define @t117 () (not @t116)) % 0.37/0.59 (define @t118 () (_ @t102 tptp.b)) % 0.37/0.59 (define @t119 () (_ @t102 tptp.bb)) % 0.37/0.59 (define @t120 () (= @t119 @t118)) % 0.37/0.59 (define @t121 () (not @t120)) % 0.37/0.59 (define @t122 () (_ @t102 tptp.a)) % 0.37/0.59 (define @t123 () (= @t122 (_ @t102 tptp.aa))) % 0.37/0.59 (define @t124 () (not @t123)) % 0.37/0.59 (define @t125 () (= @t106 @t110)) % 0.37/0.59 (define @t126 () (not @t125)) % 0.37/0.59 (define @t127 () (= @t103 @t107)) % 0.37/0.59 (define @t128 () (not @t127)) % 0.37/0.59 (define @t129 () (= @t119 @t115)) % 0.37/0.59 (define @t130 () (and @t120 @t129 @t116 @t128 @t126)) % 0.37/0.59 (define @t131 () (= @t122 @t119)) % 0.37/0.59 (define @t132 () (= @t111 @t115)) % 0.37/0.59 (define @t133 () (and @t108 @t104 @t132 @t131)) % 0.37/0.59 (define @t134 () (= @t118 @t114)) % 0.37/0.59 (define @t135 () (not @t134)) % 0.37/0.59 (define @t136 () (and @t123 @t112 @t135 @t128)) % 0.37/0.59 (define @t137 () (not @t131)) % 0.37/0.59 (define @t138 () (= @t114 @t110)) % 0.37/0.59 (define @t139 () (and @t116 @t138 @t112 @t137 @t127)) % 0.37/0.59 (define @t140 () (and @t123 @t104 @t134 @t125)) % 0.37/0.59 (define @t141 () (not @t132)) % 0.37/0.59 (define @t142 () (and @t123 @t120 @t127 @t141)) % 0.37/0.59 (define @t143 () (or @t142 @t140 @t139 @t136 @t133 @t130 @t124 @t121 @t117 @t113 @t109 @t105)) % 0.37/0.59 (define @t144 () (not @t143)) % 0.37/0.59 (define @t145 () (not @t101)) % 0.37/0.59 (define @t146 () (= @t106 @t107)) % 0.37/0.59 (define @t147 () (not @t146)) % 0.37/0.59 (define @t148 () (= @t114 @t115)) % 0.37/0.59 (define @t149 () (not @t148)) % 0.37/0.59 (define @t150 () (and @t120 (= @t115 @t119) @t148 @t128 @t126)) % 0.37/0.59 (define @t151 () (= @t119 @t122)) % 0.37/0.59 (define @t152 () (and @t146 @t104 @t132 @t151)) % 0.37/0.59 (define @t153 () (= @t114 @t118)) % 0.37/0.59 (define @t154 () (not @t153)) % 0.37/0.59 (define @t155 () (and @t123 @t112 @t154 @t128)) % 0.37/0.59 (define @t156 () (not @t151)) % 0.37/0.59 (define @t157 () (and @t148 (= @t110 @t114) @t112 @t156 @t127)) % 0.37/0.59 (define @t158 () (and @t123 @t104 @t153 @t125)) % 0.37/0.59 (define @t159 () (or @t142 @t158 @t157 @t155 @t152 @t150 @t124 @t121 @t149 @t113 @t147 @t105)) % 0.37/0.59 (define @t160 () (not @t159)) % 0.37/0.59 (define @t161 () (@list true)) % 0.37/0.59 (define @t162 () (@list @t143)) % 0.37/0.59 (define @t163 () (not @t128)) % 0.37/0.59 (define @t164 () (not @t129)) % 0.37/0.59 (define @t165 () (and @t120 @t134 @t116)) % 0.37/0.59 (define @t166 () (@list true false false false)) % 0.37/0.59 (define @t167 () (not @t138)) % 0.37/0.59 (define @t168 () (and @t132 @t112 @t116)) % 0.37/0.59 (assume @p1 @t50) % 0.37/0.59 (assume @p2 true) % 0.37/0.59 (step @p3 :rule aci_norm :args ((= (or (or @t78 @t76 @t75 @t72 @t69 @t66) @t80) @t79))) % 0.37/0.59 (step @p4 :rule refl :args (@t80)) % 0.37/0.59 (step @p5 :rule aci_norm :args ((= (and @t81 @t62) @t66))) % 0.37/0.59 (step @p6 :rule bool-implies-de-morgan :args (@t81 @t61)) % 0.37/0.59 (step @p7 :rule trans :premises (@p6 @p5)) % 0.37/0.59 (step @p8 :rule aci_norm :args ((= (and @t82 @t67) @t69))) % 0.37/0.59 (step @p9 :rule bool-double-not-elim :args (@t67)) % 0.37/0.59 (step @p10 :rule refl :args (@t82)) % 0.37/0.59 (step @p11 :rule nary_cong :premises (@p10 @p9) :args ((and @t82 (not @t73)))) % 0.37/0.59 (step @p12 :rule bool-implies-de-morgan :args (@t82 @t73)) % 0.37/0.59 (step @p13 :rule trans :premises (@p12 @p11)) % 0.37/0.59 (step @p14 :rule trans :premises (@p13 @p8)) % 0.37/0.59 (step @p15 :rule aci_norm :args ((= (and @t83 @t64) @t72))) % 0.37/0.59 (step @p16 :rule bool-implies-de-morgan :args (@t83 @t63)) % 0.37/0.59 (step @p17 :rule trans :premises (@p16 @p15)) % 0.37/0.59 (step @p18 :rule aci_norm :args ((= (and @t84 @t63) @t75))) % 0.37/0.59 (step @p19 :rule bool-double-not-elim :args (@t63)) % 0.37/0.59 (step @p20 :rule refl :args (@t84)) % 0.37/0.59 (step @p21 :rule nary_cong :premises (@p20 @p19) :args ((and @t84 (not @t64)))) % 0.37/0.59 (step @p22 :rule bool-implies-de-morgan :args (@t84 @t64)) % 0.37/0.59 (step @p23 :rule trans :premises (@p22 @p21)) % 0.37/0.59 (step @p24 :rule trans :premises (@p23 @p18)) % 0.37/0.59 (step @p25 :rule aci_norm :args ((= (and @t85 @t61) @t76))) % 0.37/0.59 (step @p26 :rule bool-double-not-elim :args (@t61)) % 0.37/0.59 (step @p27 :rule refl :args (@t85)) % 0.37/0.59 (step @p28 :rule nary_cong :premises (@p27 @p26) :args ((and @t85 (not @t62)))) % 0.37/0.59 (step @p29 :rule bool-implies-de-morgan :args (@t85 @t62)) % 0.37/0.59 (step @p30 :rule trans :premises (@p29 @p28)) % 0.37/0.59 (step @p31 :rule trans :premises (@p30 @p25)) % 0.37/0.59 (step @p32 :rule aci_norm :args ((= (and @t86 @t77) @t78))) % 0.37/0.59 (step @p33 :rule bool-implies-de-morgan :args (@t86 @t68)) % 0.37/0.59 (step @p34 :rule trans :premises (@p33 @p32)) % 0.37/0.59 (step @p35 :rule nary_cong :premises (@p34 @p31 @p24 @p17 @p14 @p7) :args (@t99)) % 0.37/0.59 (step @p36 :rule aci_norm :args ((= (or @t98 (or @t96 (or @t94 (or @t92 (or @t90 @t88))))) @t99))) % 0.37/0.59 (step @p37 :rule bool-and-de-morgan :args (@t89 @t87 true)) % 0.37/0.59 (step @p38 :rule refl :args (@t92)) % 0.37/0.59 (step @p39 :rule nary_cong :premises (@p38 @p37) :args ((or @t92 (not (and @t89 @t87))))) % 0.37/0.59 (step @p40 :rule bool-and-de-morgan :args (@t91 @t89 (and @t87))) % 0.37/0.59 (step @p41 :rule trans :premises (@p40 @p39)) % 0.37/0.59 (step @p42 :rule refl :args (@t94)) % 0.37/0.59 (step @p43 :rule nary_cong :premises (@p42 @p41) :args ((or @t94 (not (and @t91 @t89 @t87))))) % 0.37/0.59 (step @p44 :rule bool-and-de-morgan :args (@t93 @t91 (and @t89 @t87))) % 0.37/0.59 (step @p45 :rule trans :premises (@p44 @p43)) % 0.37/0.59 (step @p46 :rule refl :args (@t96)) % 0.37/0.59 (step @p47 :rule nary_cong :premises (@p46 @p45) :args ((or @t96 (not (and @t93 @t91 @t89 @t87))))) % 0.37/0.59 (step @p48 :rule bool-and-de-morgan :args (@t95 @t93 (and @t91 @t89 @t87))) % 0.37/0.59 (step @p49 :rule trans :premises (@p48 @p47)) % 0.37/0.59 (step @p50 :rule refl :args (@t98)) % 0.37/0.59 (step @p51 :rule nary_cong :premises (@p50 @p49) :args ((or @t98 (not (and @t95 @t93 @t91 @t89 @t87))))) % 0.37/0.59 (step @p52 :rule bool-and-de-morgan :args (@t97 @t95 (and @t93 @t91 @t89 @t87))) % 0.37/0.59 (step @p53 :rule trans :premises (@p52 @p51)) % 0.37/0.59 (step @p54 :rule trans :premises (@p53 @p36)) % 0.37/0.59 (step @p55 :rule trans :premises (@p54 @p35)) % 0.37/0.59 (step @p56 :rule nary_cong :premises (@p55 @p4) :args ((or (not @t100) @t80))) % 0.37/0.59 (step @p57 :rule trans :premises (@p56 @p3)) % 0.37/0.59 (step @p58 :rule bool-impl-elim :args (@t100 @t80)) % 0.37/0.59 (step @p59 :rule trans :premises (@p58 @p57)) % 0.37/0.59 (step @p60 :rule cong :premises (@p59) :args ((forall @t48 (=> @t100 @t80)))) % 0.37/0.59 (step @p61 :rule eq-symm :args (@t3 @t2)) % 0.37/0.59 (step @p62 :rule cong :premises (@p61) :args (@t5)) % 0.37/0.59 (step @p63 :rule eq-symm :args (@t7 @t6)) % 0.37/0.59 (step @p64 :rule cong :premises (@p63) :args (@t9)) % 0.37/0.59 (step @p65 :rule eq-symm :args (@t11 @t10)) % 0.37/0.59 (step @p66 :rule cong :premises (@p65) :args (@t13)) % 0.37/0.59 (step @p67 :rule eq-symm :args (@t15 @t14)) % 0.37/0.59 (step @p68 :rule cong :premises (@p67) :args (@t17)) % 0.37/0.59 (step @p69 :rule eq-symm :args (@t19 @t18)) % 0.37/0.59 (step @p70 :rule cong :premises (@p69) :args (@t21)) % 0.37/0.59 (step @p71 :rule refl :args (@t24)) % 0.37/0.59 (step @p72 :rule nary_cong :premises (@p71 @p70 @p68 @p66 @p64 @p62) :args (@t25)) % 0.37/0.59 (step @p73 :rule eq-symm :args (@t11 @t6)) % 0.37/0.59 (step @p74 :rule eq-symm :args (@t7 @t2)) % 0.37/0.59 (step @p75 :rule cong :premises (@p74) :args (@t28)) % 0.37/0.59 (step @p76 :rule eq-symm :args (@t18 @t15)) % 0.37/0.59 (step @p77 :rule nary_cong :premises (@p69 @p76 @p67 @p75) :args (@t29)) % 0.37/0.59 (step @p78 :rule cong :premises (@p77 @p73) :args (@t30)) % 0.37/0.59 (step @p79 :rule eq-symm :args (@t22 @t18)) % 0.37/0.59 (step @p80 :rule cong :premises (@p79) :args (@t31)) % 0.37/0.59 (step @p81 :rule eq-symm :args (@t15 @t10)) % 0.37/0.59 (step @p82 :rule nary_cong :premises (@p63 @p61 @p81) :args (@t33)) % 0.37/0.59 (step @p83 :rule cong :premises (@p82 @p80) :args (@t34)) % 0.37/0.59 (step @p84 :rule eq-symm :args (@t19 @t14)) % 0.37/0.59 (step @p85 :rule cong :premises (@p84) :args (@t36)) % 0.37/0.59 (step @p86 :rule refl :args (@t23)) % 0.37/0.59 (step @p87 :rule nary_cong :premises (@p86 @p65 @p85) :args (@t37)) % 0.37/0.59 (step @p88 :rule cong :premises (@p87 @p74) :args (@t38)) % 0.37/0.59 (step @p89 :rule eq-symm :args (@t14 @t11)) % 0.37/0.59 (step @p90 :rule nary_cong :premises (@p67 @p89 @p65 @p80) :args (@t39)) % 0.37/0.59 (step @p91 :rule cong :premises (@p90 @p75) :args (@t40)) % 0.37/0.59 (step @p92 :rule cong :premises (@p73) :args (@t41)) % 0.37/0.59 (step @p93 :rule nary_cong :premises (@p86 @p61 @p84) :args (@t42)) % 0.37/0.59 (step @p94 :rule cong :premises (@p93 @p92) :args (@t43)) % 0.37/0.59 (step @p95 :rule nary_cong :premises (@p86 @p69 @p74) :args (@t44)) % 0.37/0.59 (step @p96 :rule cong :premises (@p95 @p81) :args 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(step-pop @p286 :rule scope :premises (@p285)) % 0.37/0.59 (step @p209 :rule process_scope :premises (@p286) :args (@t129)) % 0.37/0.59 (step @p213 :rule and_intro :premises (@p153 @p279 @p165)) % 0.37/0.59 (step @p214 :rule modus_ponens :premises (@p213 @p209)) % 0.37/0.59 (step-pop @p287 :rule scope :premises (@p214)) % 0.37/0.59 (step-pop @p288 :rule scope :premises (@p287)) % 0.37/0.59 (step-pop @p289 :rule scope :premises (@p288)) % 0.37/0.59 (step @p215 :rule process_scope :premises (@p289) :args (@t129)) % 0.37/0.59 (step @p219 :rule implies_elim :premises (@p215)) % 0.37/0.59 (step @p220 :rule cnf_and_neg :args (@t165)) % 0.37/0.59 (step @p221 :rule resolution :premises (@p220 @p219) :args (true @t165)) % 0.37/0.59 (step @p222 :rule reordering :premises (@p221) :args ((or @t121 @t135 @t129 @t117))) % 0.37/0.59 (step @p223 :rule chain_m_resolution :premises (@p222 @p153 @p165 @p200 @p165 @p153 @p192 @p190 @p171 @p188 @p182 @p180 @p171 @p159 @p173) :args (@t127 (@list false false true false false true true false false true false false false true) (@list @t116 @t120 @t129 @t120 @t116 @t130 @t125 @t123 @t104 @t140 @t134 @t123 @t112 @t136))) % 0.37/0.59 (step @p224 :rule cnf_or_neg :args (@t143 0)) % 0.37/0.59 (step @p225 :rule chain_m_resolution :premises (@p224 @p146) :args ((not @t142) @t161 @t162)) % 0.37/0.59 (step @p226 :rule bool-double-not-elim :args (@t132)) % 0.37/0.59 (step @p227 :rule nary_cong :premises (@p134 @p113 @p112 @p115 @p226) :args ((or @t142 @t124 @t121 @t128 (not @t141)))) % 0.37/0.59 (step @p228 :rule cnf_and_neg :args (@t142)) % 0.37/0.59 (step @p229 :rule eq_resolve :premises (@p228 @p227)) % 0.37/0.59 (step @p230 :rule reordering :premises (@p229) :args ((or @t132 @t142 @t128 @t124 @t121))) % 0.37/0.59 (step @p231 :rule chain_m_resolution :premises (@p230 @p225 @p223 @p171 @p165) :args (@t132 @t166 (@list @t142 @t127 @t123 @t120))) % 0.37/0.59 (step @p232 :rule cnf_or_neg :args (@t143 2)) % 0.37/0.59 (step @p233 :rule chain_m_resolution 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@t104 @t133 @t108))) % 0.37/0.59 (step @p245 :rule bool-double-not-elim :args (@t131)) % 0.37/0.59 (step @p246 :rule refl :args (@t167)) % 0.37/0.59 (step @p247 :rule refl :args (@t139)) % 0.37/0.59 (step @p248 :rule nary_cong :premises (@p247 @p194 @p246 @p109 @p245 @p115) :args ((or @t139 @t117 @t167 @t113 (not @t137) @t128))) % 0.37/0.59 (step @p249 :rule cnf_and_neg :args (@t139)) % 0.37/0.59 (step @p250 :rule eq_resolve :premises (@p249 @p248)) % 0.37/0.59 (step @p251 :rule reordering :premises (@p250) :args ((or @t128 @t113 @t131 @t139 @t117 @t167))) % 0.37/0.59 (step @p252 :rule chain_m_resolution :premises (@p251 @p223 @p159 @p244 @p233 @p153) :args (@t167 (@list false false true true false) (@list @t127 @t112 @t131 @t139 @t116))) % 0.37/0.59 (assume-push @p290 @t132) % 0.37/0.59 (assume-push @p291 @t112) % 0.37/0.59 (assume-push @p292 @t116) % 0.37/0.59 (assume-push @p293 @t112) % 0.37/0.59 (assume-push @p294 @t132) % 0.37/0.59 (assume-push @p295 @t116) % 0.37/0.59 (step @p259 :rule symm :premises (@p290)) % 0.37/0.59 (step @p207 :rule symm :premises (@p153)) % 0.37/0.59 (step @p260 :rule trans :premises (@p207 @p259 @p159)) % 0.37/0.59 (step-pop @p296 :rule scope :premises (@p260)) % 0.37/0.59 (step-pop @p297 :rule scope :premises (@p296)) % 0.37/0.59 (step-pop @p298 :rule scope :premises (@p297)) % 0.37/0.59 (step @p261 :rule process_scope :premises (@p298) :args (@t138)) % 0.37/0.59 (step @p265 :rule and_intro :premises (@p159 @p290 @p153)) % 0.37/0.59 (step @p266 :rule modus_ponens :premises (@p265 @p261)) % 0.37/0.59 (step-pop @p299 :rule scope :premises (@p266)) % 0.37/0.59 (step-pop @p300 :rule scope :premises (@p299)) % 0.37/0.59 (step-pop @p301 :rule scope :premises (@p300)) % 0.37/0.59 (step @p267 :rule process_scope :premises (@p301) :args (@t138)) % 0.37/0.59 (step @p271 :rule implies_elim :premises (@p267)) % 0.37/0.59 (step @p272 :rule cnf_and_neg :args (@t168)) % 0.37/0.59 (step @p273 :rule resolution :premises (@p272 @p271) :args (true @t168)) % 0.37/0.59 (step @p274 :rule reordering :premises (@p273) :args ((or @t141 @t113 @t138 @t117))) % 0.37/0.59 (step @p275 false :rule chain_m_resolution :premises (@p274 @p252 @p231 @p159 @p153) :args (false @t166 (@list @t138 @t132 @t112 @t116))) % 0.37/0.59 ) % 0.37/0.59 % SZS output end Proof % 0.37/0.59 % cvc5 exiting %------------------------------------------------------------------------------