%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEV045^5 : TPTP v9.2.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n024.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 08:55:22 AM UTC 2026 % Result : Theorem 0.15s 0.39s % Output : Proof 0.15s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.06 % Problem : SEV045^5 : TPTP v9.2.1. Released v4.0.0. % 0.00/0.07 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.07/0.25 % Computer : n024.cluster.edu % 0.07/0.25 % Model : x86_64 x86_64 % 0.07/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.07/0.25 % Memory : 8042.1875MB % 0.07/0.25 % OS : Linux 3.10.0-693.el7.x86_64 % 0.07/0.25 % CPULimit : 300 % 0.07/0.25 % WCLimit : 300 % 0.07/0.25 % DateTime : Tue Jun 2 13:10:00 EDT 2026 % 0.07/0.25 % CPUTime : % 0.07/0.33 %----Proving TH0 % 0.15/0.39 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.15/0.39 % SZS status Theorem % 0.15/0.39 % SZS output start Proof % 0.15/0.39 ( % 0.15/0.39 (declare-sort tptp.a 0) % 0.15/0.39 (declare-sort tptp.b 0) % 0.15/0.39 (declare-const tptp.cP (-> tptp.a tptp.a Bool)) % 0.15/0.39 (declare-const tptp.cQ (-> tptp.a tptp.b tptp.b Bool)) % 0.15/0.39 (declare-const tptp.f (-> tptp.a tptp.b)) % 0.15/0.39 (declare-const tptp.g (-> tptp.a tptp.b)) % 0.15/0.39 (define @t1 () (@var "Xy" tptp.a)) % 0.15/0.39 (define @t2 () (_ tptp.g @t1)) % 0.15/0.39 (define @t3 () (@var "Xx" tptp.a)) % 0.15/0.39 (define @t4 () (_ tptp.f @t3)) % 0.15/0.39 (define @t5 () (_ tptp.cQ @t3)) % 0.15/0.39 (define @t6 () (_ @t5 @t4)) % 0.15/0.39 (define @t7 () (_ @t6 @t2)) % 0.15/0.39 (define @t8 () (_ tptp.cP @t3)) % 0.15/0.39 (define @t9 () (_ @t8 @t1)) % 0.15/0.39 (define @t10 () (@list @t3 @t1)) % 0.15/0.39 (define @t11 () (forall @t10 (=> @t9 @t7))) % 0.15/0.39 (define @t12 () (= @t5 (_ tptp.cQ @t1))) % 0.15/0.39 (define @t13 () (forall @t10 (=> @t9 @t12))) % 0.15/0.39 (define @t14 () (@var "Xz" tptp.b)) % 0.15/0.39 (define @t15 () (@var "Xx0" tptp.b)) % 0.15/0.39 (define @t16 () (_ @t5 @t15)) % 0.15/0.39 (define @t17 () (_ @t16 @t14)) % 0.15/0.39 (define @t18 () (@var "Xy" tptp.b)) % 0.15/0.39 (define @t19 () (_ @t5 @t18)) % 0.15/0.39 (define @t20 () (_ @t19 @t14)) % 0.15/0.39 (define @t21 () (_ @t16 @t18)) % 0.15/0.39 (define @t22 () (and @t21 @t20)) % 0.15/0.39 (define @t23 () (@list @t15 @t18 @t14)) % 0.15/0.39 (define @t24 () (forall @t23 (=> @t22 @t17))) % 0.15/0.39 (define @t25 () (_ @t19 @t15)) % 0.15/0.39 (define @t26 () (@list @t15 @t18)) % 0.15/0.39 (define @t27 () (forall @t26 (=> @t21 @t25))) % 0.15/0.39 (define @t28 () (and @t27 @t24)) % 0.15/0.39 (define @t29 () (_ @t8 @t3)) % 0.15/0.39 (define @t30 () (=> @t29 @t28)) % 0.15/0.39 (define @t31 () (@list @t3)) % 0.15/0.39 (define @t32 () (forall @t31 @t30)) % 0.15/0.39 (define @t33 () (and @t32 @t13)) % 0.15/0.39 (define @t34 () (=> @t33 @t11)) % 0.15/0.39 (define @t35 () (@var "Xz" tptp.a)) % 0.15/0.39 (define @t36 () (_ @t8 @t35)) % 0.15/0.39 (define @t37 () (_ tptp.cP @t1)) % 0.15/0.39 (define @t38 () (_ @t37 @t35)) % 0.15/0.39 (define @t39 () (and @t9 @t38)) % 0.15/0.39 (define @t40 () (@list @t3 @t1 @t35)) % 0.15/0.39 (define @t41 () (forall @t40 (=> @t39 @t36))) % 0.15/0.39 (define @t42 () (_ @t37 @t3)) % 0.15/0.39 (define @t43 () (forall @t10 (=> @t9 @t42))) % 0.15/0.39 (define @t44 () (and @t43 @t41)) % 0.15/0.39 (define @t45 () (=> @t44 @t34)) % 0.15/0.39 (define @t46 () (_ tptp.f @t1)) % 0.15/0.39 (define @t47 () (_ @t6 @t46)) % 0.15/0.39 (define @t48 () (forall @t10 (=> @t9 @t47))) % 0.15/0.39 (define @t49 () (=> @t48 @t45)) % 0.15/0.39 (define @t50 () (_ tptp.g @t3)) % 0.15/0.39 (define @t51 () (_ @t6 @t50)) % 0.15/0.39 (define @t52 () (forall @t31 (=> @t29 @t51))) % 0.15/0.39 (define @t53 () (=> @t52 @t49)) % 0.15/0.39 (define @t54 () (not @t53)) % 0.15/0.39 (define @t55 () (tptp.g @t1)) % 0.15/0.39 (define @t56 () (tptp.f @t3)) % 0.15/0.39 (define @t57 () (tptp.cQ @t3 @t56 @t55)) % 0.15/0.39 (define @t58 () (_ @t5 @t56)) % 0.15/0.39 (define @t59 () (tptp.cP @t3 @t1)) % 0.15/0.39 (define @t60 () (not @t9)) % 0.15/0.39 (define @t61 () (or @t60 @t7)) % 0.15/0.39 (define @t62 () (or @t60 @t12)) % 0.15/0.39 (define @t63 () (@var "BOUND_VARIABLE_7556" tptp.b)) % 0.15/0.39 (define @t64 () (@var "BOUND_VARIABLE_7552" tptp.b)) % 0.15/0.39 (define @t65 () (@var "BOUND_VARIABLE_7554" tptp.b)) % 0.15/0.39 (define @t66 () (or (not (tptp.cQ @t3 @t64 @t65)) (not (tptp.cQ @t3 @t65 @t63)) (tptp.cQ @t3 @t64 @t63))) % 0.15/0.39 (define @t67 () (@var "BOUND_VARIABLE_7544" tptp.b)) % 0.15/0.39 (define @t68 () (@var "BOUND_VARIABLE_7546" tptp.b)) % 0.15/0.39 (define @t69 () (or (not (tptp.cQ @t3 @t67 @t68)) (tptp.cQ @t3 @t68 @t67))) % 0.15/0.39 (define @t70 () (and @t69 @t66)) % 0.15/0.39 (define @t71 () (tptp.cP @t3 @t3)) % 0.15/0.39 (define @t72 () (not @t71)) % 0.15/0.39 (define @t73 () (or @t72 @t70)) % 0.15/0.39 (define @t74 () (@list @t67 @t68 @t64 @t65 @t63)) % 0.15/0.39 (define @t75 () (forall @t74 @t73)) % 0.15/0.39 (define @t76 () (forall (@list @t64 @t65 @t63) @t66)) % 0.15/0.39 (define @t77 () (forall @t74 @t66)) % 0.15/0.39 (define @t78 () (forall (@list @t67 @t68) @t69)) % 0.15/0.39 (define @t79 () (forall @t74 @t69)) % 0.15/0.39 (define @t80 () (and @t79 @t77)) % 0.15/0.39 (define @t81 () (forall @t74 @t70)) % 0.15/0.39 (define @t82 () (or @t72 @t81)) % 0.15/0.39 (define @t83 () (tptp.cQ @t3 @t15 @t14)) % 0.15/0.39 (define @t84 () (tptp.cQ @t3 @t18 @t14)) % 0.15/0.39 (define @t85 () (tptp.cQ @t3 @t15 @t18)) % 0.15/0.39 (define @t86 () (not @t85)) % 0.15/0.39 (define @t87 () (tptp.cQ @t3 @t18 @t15)) % 0.15/0.39 (define @t88 () (and (forall @t26 (or @t86 @t87)) (forall @t23 (or @t86 (not @t84) @t83)))) % 0.15/0.39 (define @t89 () (not @t29)) % 0.15/0.39 (define @t90 () (or @t89 @t88)) % 0.15/0.39 (define @t91 () (not @t20)) % 0.15/0.39 (define @t92 () (not @t21)) % 0.15/0.39 (define @t93 () (or @t92 @t91 @t17)) % 0.15/0.39 (define @t94 () (or @t92 @t25)) % 0.15/0.39 (define @t95 () (tptp.cP @t3 @t35)) % 0.15/0.39 (define @t96 () (tptp.cP @t1 @t35)) % 0.15/0.39 (define @t97 () (not @t38)) % 0.15/0.39 (define @t98 () (or @t60 @t97 @t36)) % 0.15/0.39 (define @t99 () (tptp.cP @t1 @t3)) % 0.15/0.39 (define @t100 () (or @t60 @t42)) % 0.15/0.39 (define @t101 () (tptp.f @t1)) % 0.15/0.39 (define @t102 () (tptp.cQ @t3 @t56 @t101)) % 0.15/0.39 (define @t103 () (or @t60 @t47)) % 0.15/0.39 (define @t104 () (tptp.g @t3)) % 0.15/0.39 (define @t105 () (tptp.cQ @t3 @t56 @t104)) % 0.15/0.39 (define @t106 () (or @t89 @t51)) % 0.15/0.39 (define @t107 () (forall @t10 (or (not @t59) @t57))) % 0.15/0.39 (define @t108 () (@quantifiers_skolemize @t107 1)) % 0.15/0.39 (define @t109 () (tptp.g @t108)) % 0.15/0.39 (define @t110 () (@quantifiers_skolemize @t107 0)) % 0.15/0.39 (define @t111 () (tptp.f @t110)) % 0.15/0.39 (define @t112 () (tptp.cQ @t110 @t111 @t109)) % 0.15/0.39 (define @t113 () (tptp.cP @t110 @t108)) % 0.15/0.39 (define @t114 () (not @t113)) % 0.15/0.39 (define @t115 () (or @t114 @t112)) % 0.15/0.39 (define @t116 () (@list true)) % 0.15/0.39 (define @t117 () (@list @t115)) % 0.15/0.39 (define @t118 () (@list @t110 @t108)) % 0.15/0.39 (define @t119 () (= (_ tptp.cQ @t110) (_ tptp.cQ @t108))) % 0.15/0.39 (define @t120 () (or @t114 @t119)) % 0.15/0.39 (define @t121 () (@list false false)) % 0.15/0.39 (define @t122 () (tptp.cQ @t108 @t111 @t109)) % 0.15/0.39 (define @t123 () (tptp.f @t108)) % 0.15/0.39 (define @t124 () (tptp.cP @t108 @t110)) % 0.15/0.39 (define @t125 () (or @t114 @t124)) % 0.15/0.39 (define @t126 () (tptp.cP @t108 @t108)) % 0.15/0.39 (define @t127 () (not @t124)) % 0.15/0.39 (define @t128 () (or @t127 @t114 @t126)) % 0.15/0.39 (define @t129 () (@list false false false)) % 0.15/0.39 (define @t130 () (tptp.cQ @t108 @t123 @t109)) % 0.15/0.39 (define @t131 () (not @t130)) % 0.15/0.39 (define @t132 () (tptp.cQ @t108 @t111 @t123)) % 0.15/0.39 (define @t133 () (not @t132)) % 0.15/0.39 (define @t134 () (or @t133 @t131 @t122)) % 0.15/0.39 (define @t135 () (tptp.cQ @t108 @t123 @t111)) % 0.15/0.39 (define @t136 () (not @t135)) % 0.15/0.39 (define @t137 () (or @t136 @t132)) % 0.15/0.39 (define @t138 () (and @t137 @t134)) % 0.15/0.39 (define @t139 () (not @t126)) % 0.15/0.39 (define @t140 () (or @t139 @t138)) % 0.15/0.39 (define @t141 () (@list false)) % 0.15/0.39 (define @t142 () (and @t137 (or @t131 (not (tptp.cQ @t108 @t109 @t109)) @t130))) % 0.15/0.39 (define @t143 () (or @t139 @t142)) % 0.15/0.39 (define @t144 () (or @t127 @t135)) % 0.15/0.39 (define @t145 () (or @t139 @t130)) % 0.15/0.39 (assume @p1 @t54) % 0.15/0.39 (assume @p2 true) % 0.15/0.39 (step @p3 :rule evaluate :args ((= true false))) % 0.15/0.39 (step @p4 :rule refl :args ((tptp.cQ @t3 @t4 @t2))) % 0.15/0.39 (step @p5 :rule refl :args (@t55)) % 0.15/0.39 (step @p6 :rule refl :args (@t56)) % 0.15/0.39 (step @p7 :rule refl :args (@t3)) % 0.15/0.39 (step @p8 :rule cong :premises (@p7 @p6 @p5) :args (@t57)) % 0.15/0.39 (step @p9 :rule trans :premises (@p8 @p4)) % 0.15/0.39 (step @p10 :rule refl :args (@t5)) % 0.15/0.39 (step @p11 :rule ho_cong :premises (@p10 @p6)) % 0.15/0.39 (step @p12 :rule ho_cong :premises (@p11 @p5)) % 0.15/0.39 (step @p13 :rule cong :premises (@p12 @p9) :args ((= (_ @t58 @t55) @t57))) % 0.15/0.39 (step @p14 :rule symm :premises (@p13)) % 0.15/0.39 (step @p15 :rule refl :args (@t7)) % 0.15/0.39 (step @p16 :rule eq_resolve :premises (@p15 @p14)) % 0.15/0.39 (step @p17 :rule refl :args (@t2)) % 0.15/0.39 (step @p18 :rule cong :premises (@p17 @p5) :args ((= @t2 @t55))) % 0.15/0.39 (step @p19 :rule symm :premises (@p18)) % 0.15/0.39 (step @p20 :rule eq_resolve :premises (@p17 @p19)) % 0.15/0.39 (step @p21 :rule refl :args (@t4)) % 0.15/0.39 (step @p22 :rule cong :premises (@p21 @p6) :args ((= @t4 @t56))) % 0.15/0.39 (step @p23 :rule symm :premises (@p22)) % 0.15/0.39 (step @p24 :rule eq_resolve :premises (@p21 @p23)) % 0.15/0.39 (step @p25 :rule ho_cong :premises (@p10 @p24)) % 0.15/0.39 (step @p26 :rule ho_cong :premises (@p25 @p20)) % 0.15/0.39 (step @p27 :rule trans :premises (@p26 @p16)) % 0.15/0.39 (step @p28 :rule refl :args (@t59)) % 0.15/0.39 (step @p29 :rule refl :args (@t9)) % 0.15/0.39 (step @p30 :rule cong :premises (@p29 @p28) :args ((= @t9 @t59))) % 0.15/0.39 (step @p31 :rule symm :premises (@p30)) % 0.15/0.39 (step @p32 :rule eq_resolve :premises (@p29 @p31)) % 0.15/0.39 (step @p33 :rule cong :premises (@p32) :args (@t60)) % 0.15/0.39 (step @p34 :rule nary_cong :premises (@p33 @p27) :args (@t61)) % 0.15/0.39 (step @p35 :rule cong :premises (@p34) :args ((forall @t10 @t61))) % 0.15/0.39 (step @p36 :rule bool-impl-elim :args (@t9 @t7)) % 0.15/0.39 (step @p37 :rule cong :premises (@p36) :args (@t11)) % 0.15/0.39 (step @p38 :rule trans :premises (@p37 @p35)) % 0.15/0.39 (step @p39 :rule refl :args (@t12)) % 0.15/0.39 (step @p40 :rule nary_cong :premises (@p33 @p39) :args (@t62)) % 0.15/0.39 (step @p41 :rule cong :premises (@p40) :args ((forall @t10 @t62))) % 0.15/0.39 (step @p42 :rule bool-impl-elim :args (@t9 @t12)) % 0.15/0.39 (step @p43 :rule cong :premises (@p42) :args (@t13)) % 0.15/0.39 (step @p44 :rule trans :premises (@p43 @p41)) % 0.15/0.39 (step @p45 :rule quant-merge-prenex :args ((= (forall @t31 @t75) (forall (@list @t3 @t67 @t68 @t64 @t65 @t63) @t73)))) % 0.15/0.39 (step @p46 :rule alpha_equiv :args (@t76 (@list @t64 @t65 @t63) (@list @t15 @t18 @t14))) % 0.15/0.39 (step @p47 :rule quant-unused-vars :args ((= @t77 @t76))) % 0.15/0.39 (step @p48 :rule trans :premises (@p47 @p46)) % 0.15/0.39 (step @p49 :rule alpha_equiv :args (@t78 (@list @t67 @t68) (@list @t15 @t18))) % 0.15/0.39 (step @p50 :rule quant-unused-vars :args ((= @t79 @t78))) % 0.15/0.39 (step @p51 :rule trans :premises (@p50 @p49)) % 0.15/0.39 (step @p52 :rule nary_cong :premises (@p51 @p48) :args (@t80)) % 0.15/0.39 (step @p53 :rule quant-miniscope-and :args ((= @t81 @t80))) % 0.15/0.39 (step @p54 :rule trans :premises (@p53 @p52)) % 0.15/0.39 (step @p55 :rule refl :args (@t72)) % 0.15/0.39 (step @p56 :rule nary_cong :premises (@p55 @p54) :args (@t82)) % 0.15/0.39 (step @p57 :rule quant-miniscope-or :args ((= @t75 @t82))) % 0.15/0.39 (step @p58 :rule trans :premises (@p57 @p56)) % 0.15/0.39 (step @p59 :rule symm :premises (@p58)) % 0.15/0.39 (step @p60 :rule cong :premises (@p59) :args ((forall @t31 (or @t72 @t88)))) % 0.15/0.39 (step @p61 :rule trans :premises (@p60 @p45)) % 0.15/0.39 (step @p62 :rule refl :args (@t88)) % 0.15/0.39 (step @p63 :rule refl :args (@t71)) % 0.15/0.39 (step @p64 :rule refl :args (@t29)) % 0.15/0.39 (step @p65 :rule cong :premises (@p64 @p63) :args ((= @t29 @t71))) % 0.15/0.39 (step @p66 :rule symm :premises (@p65)) % 0.15/0.39 (step @p67 :rule eq_resolve :premises (@p64 @p66)) % 0.15/0.39 (step @p68 :rule cong :premises (@p67) :args (@t89)) % 0.15/0.39 (step @p69 :rule nary_cong :premises (@p68 @p62) :args (@t90)) % 0.15/0.39 (step @p70 :rule cong :premises (@p69) :args ((forall @t31 @t90))) % 0.15/0.39 (step @p71 :rule trans :premises (@p70 @p61)) % 0.15/0.39 (step @p72 :rule bool-impl-elim :args (@t29 @t88)) % 0.15/0.39 (step @p73 :rule cong :premises (@p72) :args ((forall @t31 (=> @t29 @t88)))) % 0.15/0.39 (step @p74 :rule trans :premises (@p73 @p71)) % 0.15/0.39 (step @p75 :rule refl :args (@t83)) % 0.15/0.39 (step @p76 :rule refl :args (@t17)) % 0.15/0.39 (step @p77 :rule cong :premises (@p76 @p75) :args ((= @t17 @t83))) % 0.15/0.39 (step @p78 :rule symm :premises (@p77)) % 0.15/0.39 (step @p79 :rule eq_resolve :premises (@p76 @p78)) % 0.15/0.39 (step @p80 :rule refl :args (@t84)) % 0.15/0.39 (step @p81 :rule refl :args (@t20)) % 0.15/0.39 (step @p82 :rule cong :premises (@p81 @p80) :args ((= @t20 @t84))) % 0.15/0.39 (step @p83 :rule symm :premises (@p82)) % 0.15/0.39 (step @p84 :rule eq_resolve :premises (@p81 @p83)) % 0.15/0.39 (step @p85 :rule cong :premises (@p84) :args (@t91)) % 0.15/0.39 (step @p86 :rule refl :args (@t85)) % 0.15/0.39 (step @p87 :rule refl :args (@t21)) % 0.15/0.39 (step @p88 :rule cong :premises (@p87 @p86) :args ((= @t21 @t85))) % 0.15/0.39 (step @p89 :rule symm :premises (@p88)) % 0.15/0.39 (step @p90 :rule eq_resolve :premises (@p87 @p89)) % 0.15/0.39 (step @p91 :rule cong :premises (@p90) :args (@t92)) % 0.15/0.39 (step @p92 :rule nary_cong :premises (@p91 @p85 @p79) :args (@t93)) % 0.15/0.39 (step @p93 :rule cong :premises (@p92) :args ((forall @t23 @t93))) % 0.15/0.39 (step @p94 :rule aci_norm :args ((= (or (or @t92 @t91) @t17) @t93))) % 0.15/0.39 (step @p95 :rule bool-and-de-morgan :args (@t21 @t20 true)) % 0.15/0.39 (step @p96 :rule nary_cong :premises (@p95 @p76) :args ((or (not @t22) @t17))) % 0.15/0.39 (step @p97 :rule trans :premises (@p96 @p94)) % 0.15/0.39 (step @p98 :rule bool-impl-elim :args (@t22 @t17)) % 0.15/0.39 (step @p99 :rule trans :premises (@p98 @p97)) % 0.15/0.39 (step @p100 :rule cong :premises (@p99) :args (@t24)) % 0.15/0.39 (step @p101 :rule trans :premises (@p100 @p93)) % 0.15/0.39 (step @p102 :rule refl :args (@t87)) % 0.15/0.39 (step @p103 :rule refl :args (@t25)) % 0.15/0.39 (step @p104 :rule cong :premises (@p103 @p102) :args ((= @t25 @t87))) % 0.15/0.39 (step @p105 :rule symm :premises (@p104)) % 0.15/0.39 (step @p106 :rule eq_resolve :premises (@p103 @p105)) % 0.15/0.39 (step @p107 :rule nary_cong :premises (@p91 @p106) :args (@t94)) % 0.15/0.39 (step @p108 :rule cong :premises (@p107) :args ((forall @t26 @t94))) % 0.15/0.39 (step @p109 :rule bool-impl-elim :args (@t21 @t25)) % 0.15/0.39 (step @p110 :rule cong :premises (@p109) :args (@t27)) % 0.15/0.39 (step @p111 :rule trans :premises (@p110 @p108)) % 0.15/0.39 (step @p112 :rule nary_cong :premises (@p111 @p101) :args (@t28)) % 0.15/0.39 (step @p113 :rule refl :args (@t29)) % 0.15/0.39 (step @p114 :rule cong :premises (@p113 @p112) :args (@t30)) % 0.15/0.39 (step @p115 :rule cong :premises (@p114) :args (@t32)) % 0.15/0.39 (step @p116 :rule trans :premises (@p115 @p74)) % 0.15/0.39 (step @p117 :rule nary_cong :premises (@p116 @p44) :args (@t33)) % 0.15/0.39 (step @p118 :rule cong :premises (@p117 @p38) :args (@t34)) % 0.15/0.39 (step @p119 :rule refl :args (@t95)) % 0.15/0.39 (step @p120 :rule refl :args (@t36)) % 0.15/0.39 (step @p121 :rule cong :premises (@p120 @p119) :args ((= @t36 @t95))) % 0.15/0.39 (step @p122 :rule symm :premises (@p121)) % 0.15/0.39 (step @p123 :rule eq_resolve :premises (@p120 @p122)) % 0.15/0.39 (step @p124 :rule refl :args (@t96)) % 0.15/0.39 (step @p125 :rule refl :args (@t38)) % 0.15/0.39 (step @p126 :rule cong :premises (@p125 @p124) :args ((= @t38 @t96))) % 0.15/0.39 (step @p127 :rule symm :premises (@p126)) % 0.15/0.39 (step @p128 :rule eq_resolve :premises (@p125 @p127)) % 0.15/0.39 (step @p129 :rule cong :premises (@p128) :args (@t97)) % 0.15/0.39 (step @p130 :rule nary_cong :premises (@p33 @p129 @p123) :args (@t98)) % 0.15/0.39 (step @p131 :rule cong :premises (@p130) :args ((forall @t40 @t98))) % 0.15/0.39 (step @p132 :rule aci_norm :args ((= (or (or @t60 @t97) @t36) @t98))) % 0.15/0.39 (step @p133 :rule bool-and-de-morgan :args (@t9 @t38 true)) % 0.15/0.39 (step @p134 :rule nary_cong :premises (@p133 @p120) :args ((or (not @t39) @t36))) % 0.15/0.39 (step @p135 :rule trans :premises (@p134 @p132)) % 0.15/0.39 (step @p136 :rule bool-impl-elim :args (@t39 @t36)) % 0.15/0.39 (step @p137 :rule trans :premises (@p136 @p135)) % 0.15/0.39 (step @p138 :rule cong :premises (@p137) :args (@t41)) % 0.15/0.39 (step @p139 :rule trans :premises (@p138 @p131)) % 0.15/0.39 (step @p140 :rule refl :args (@t99)) % 0.15/0.39 (step @p141 :rule refl :args (@t42)) % 0.15/0.39 (step @p142 :rule cong :premises (@p141 @p140) :args ((= @t42 @t99))) % 0.15/0.39 (step @p143 :rule symm :premises (@p142)) % 0.15/0.39 (step @p144 :rule eq_resolve :premises (@p141 @p143)) % 0.15/0.39 (step @p145 :rule nary_cong :premises (@p33 @p144) :args (@t100)) % 0.15/0.39 (step @p146 :rule cong :premises (@p145) :args ((forall @t10 @t100))) % 0.15/0.39 (step @p147 :rule bool-impl-elim :args (@t9 @t42)) % 0.15/0.39 (step @p148 :rule cong :premises (@p147) :args (@t43)) % 0.15/0.39 (step @p149 :rule trans :premises (@p148 @p146)) % 0.15/0.39 (step @p150 :rule nary_cong :premises (@p149 @p139) :args (@t44)) % 0.15/0.39 (step @p151 :rule cong :premises (@p150 @p118) :args (@t45)) % 0.15/0.39 (step @p152 :rule refl :args ((tptp.cQ @t3 @t4 @t46))) % 0.15/0.39 (step @p153 :rule refl :args (@t101)) % 0.15/0.39 (step @p154 :rule cong :premises (@p7 @p6 @p153) :args (@t102)) % 0.15/0.39 (step @p155 :rule trans :premises (@p154 @p152)) % 0.15/0.39 (step @p156 :rule ho_cong :premises (@p11 @p153)) % 0.15/0.39 (step @p157 :rule cong :premises (@p156 @p155) :args ((= (_ @t58 @t101) @t102))) % 0.15/0.39 (step @p158 :rule symm :premises (@p157)) % 0.15/0.39 (step @p159 :rule refl :args (@t47)) % 0.15/0.39 (step @p160 :rule eq_resolve :premises (@p159 @p158)) % 0.15/0.39 (step @p161 :rule refl :args (@t46)) % 0.15/0.39 (step @p162 :rule cong :premises (@p161 @p153) :args ((= @t46 @t101))) % 0.15/0.39 (step @p163 :rule symm :premises (@p162)) % 0.15/0.39 (step @p164 :rule eq_resolve :premises (@p161 @p163)) % 0.15/0.39 (step @p165 :rule ho_cong :premises (@p25 @p164)) % 0.15/0.39 (step @p166 :rule trans :premises (@p165 @p160)) % 0.15/0.39 (step @p167 :rule nary_cong :premises (@p33 @p166) :args (@t103)) % 0.15/0.39 (step @p168 :rule cong :premises (@p167) :args ((forall @t10 @t103))) % 0.15/0.39 (step @p169 :rule bool-impl-elim :args (@t9 @t47)) % 0.15/0.39 (step @p170 :rule cong :premises (@p169) :args (@t48)) % 0.15/0.39 (step @p171 :rule trans :premises (@p170 @p168)) % 0.15/0.39 (step @p172 :rule cong :premises (@p171 @p151) :args (@t49)) % 0.15/0.39 (step @p173 :rule refl :args ((tptp.cQ @t3 @t4 @t50))) % 0.15/0.39 (step @p174 :rule refl :args (@t104)) % 0.15/0.39 (step @p175 :rule cong :premises (@p7 @p6 @p174) :args (@t105)) % 0.15/0.39 (step @p176 :rule trans :premises (@p175 @p173)) % 0.15/0.39 (step @p177 :rule ho_cong :premises (@p11 @p174)) % 0.15/0.39 (step @p178 :rule cong :premises (@p177 @p176) :args ((= (_ @t58 @t104) @t105))) % 0.15/0.39 (step @p179 :rule symm :premises (@p178)) % 0.15/0.39 (step @p180 :rule refl :args (@t51)) % 0.15/0.39 (step @p181 :rule eq_resolve :premises (@p180 @p179)) % 0.15/0.39 (step @p182 :rule refl :args (@t50)) % 0.15/0.39 (step @p183 :rule cong :premises (@p182 @p174) :args ((= @t50 @t104))) % 0.15/0.39 (step @p184 :rule symm :premises (@p183)) % 0.15/0.39 (step @p185 :rule eq_resolve :premises (@p182 @p184)) % 0.15/0.39 (step @p186 :rule ho_cong :premises (@p25 @p185)) % 0.15/0.39 (step @p187 :rule trans :premises (@p186 @p181)) % 0.15/0.39 (step @p188 :rule nary_cong :premises (@p68 @p187) :args (@t106)) % 0.15/0.39 (step @p189 :rule cong :premises (@p188) :args ((forall @t31 @t106))) % 0.15/0.39 (step @p190 :rule bool-impl-elim :args (@t29 @t51)) % 0.15/0.39 (step @p191 :rule cong :premises (@p190) :args (@t52)) % 0.15/0.39 (step @p192 :rule trans :premises (@p191 @p189)) % 0.15/0.39 (step @p193 :rule cong :premises (@p192 @p172) :args (@t53)) % 0.15/0.39 (step @p194 :rule cong :premises (@p193) :args (@t54)) % 0.15/0.39 (step @p195 :rule eq_resolve :premises (@p1 @p194)) % 0.15/0.39 (step @p196 :rule not_implies_elim2 :premises (@p195)) % 0.15/0.39 (step @p197 :rule not_implies_elim2 :premises (@p196)) % 0.15/0.39 (step @p198 :rule not_implies_elim2 :premises (@p197)) % 0.15/0.39 (step @p199 :rule not_implies_elim2 :premises (@p198)) % 0.15/0.39 (step @p200 :rule skolemize :premises (@p199)) % 0.15/0.39 (step @p201 :rule cnf_or_neg :args (@t115 1)) % 0.15/0.39 (step @p202 :rule chain_m_resolution :premises (@p201 @p200) :args ((not @t112) @t116 @t117)) % 0.15/0.39 (step @p203 :rule false_intro :premises (@p202)) % 0.15/0.39 (step @p204 :rule refl :args (@t112)) % 0.15/0.39 (step @p205 :rule symm :premises (@p204)) % 0.15/0.39 (step @p206 :rule refl :args (@t109)) % 0.15/0.39 (step @p207 :rule refl :args (@t111)) % 0.15/0.39 (step @p208 :rule not_implies_elim1 :premises (@p198)) % 0.15/0.39 (step @p209 :rule and_elim :premises (@p208) :args (1)) % 0.15/0.39 (step @p210 :rule instantiate :premises (@p209) :args (@t118)) % 0.15/0.39 (step @p211 :rule bool-double-not-elim :args (@t113)) % 0.15/0.39 (step @p212 :rule refl :args (@t115)) % 0.15/0.39 (step @p213 :rule nary_cong :premises (@p212 @p211) :args ((or @t115 (not @t114)))) % 0.15/0.39 (step @p214 :rule cnf_or_neg :args (@t115 0)) % 0.15/0.39 (step @p215 :rule eq_resolve :premises (@p214 @p213)) % 0.15/0.39 (step @p216 :rule reordering :premises (@p215) :args ((or @t113 @t115))) % 0.15/0.39 (step @p217 :rule chain_m_resolution :premises (@p216 @p200) :args (@t113 @t116 @t117)) % 0.15/0.39 (step @p218 :rule cnf_or_pos :args (@t120)) % 0.15/0.39 (step @p219 :rule reordering :premises (@p218) :args ((or @t114 @t119 (not @t120)))) % 0.15/0.39 (step @p220 :rule chain_m_resolution :premises (@p219 @p217 @p210) :args (@t119 @t121 (@list @t113 @t120))) % 0.15/0.39 (step @p221 :rule symm :premises (@p220)) % 0.15/0.39 (step @p222 :rule ho_cong :premises (@p221 @p207)) % 0.15/0.39 (step @p223 :rule ho_cong :premises (@p222 @p206)) % 0.15/0.39 (step @p224 :rule refl :args (@t122)) % 0.15/0.39 (step @p225 :rule and_elim :premises (@p208) :args (0)) % 0.15/0.39 (step @p226 :rule instantiate :premises (@p225) :args ((@list @t108 @t123 @t111 @t111 @t123 @t109))) % 0.15/0.39 (step @p227 :rule not_implies_elim1 :premises (@p197)) % 0.15/0.39 (step @p228 :rule and_elim :premises (@p227) :args (1)) % 0.15/0.39 (step @p229 :rule instantiate :premises (@p228) :args ((@list @t108 @t110 @t108))) % 0.15/0.39 (step @p230 :rule and_elim :premises (@p227) :args (0)) % 0.15/0.39 (step @p231 :rule instantiate :premises (@p230) :args (@t118)) % 0.15/0.39 (step @p232 :rule cnf_or_pos :args (@t125)) % 0.15/0.39 (step @p233 :rule reordering :premises (@p232) :args ((or @t114 @t124 (not @t125)))) % 0.15/0.39 (step @p234 :rule chain_m_resolution :premises (@p233 @p217 @p231) :args (@t124 @t121 (@list @t113 @t125))) % 0.15/0.39 (step @p235 :rule cnf_or_pos :args (@t128)) % 0.15/0.39 (step @p236 :rule reordering :premises (@p235) :args ((or @t114 @t126 @t127 (not @t128)))) % 0.15/0.39 (step @p237 :rule chain_m_resolution :premises (@p236 @p217 @p234 @p229) :args (@t126 @t129 (@list @t113 @t124 @t128))) % 0.15/0.39 (step @p238 :rule cnf_or_pos :args (@t140)) % 0.15/0.39 (step @p239 :rule reordering :premises (@p238) :args ((or @t139 @t138 (not @t140)))) % 0.15/0.39 (step @p240 :rule chain_m_resolution :premises (@p239 @p237 @p226) :args (@t138 @t121 (@list @t126 @t140))) % 0.15/0.39 (step @p241 :rule cnf_and_pos :args (@t138 1)) % 0.15/0.39 (step @p242 :rule reordering :premises (@p241) :args ((or @t134 (not @t138)))) % 0.15/0.39 (step @p243 :rule chain_m_resolution :premises (@p242 @p240) :args (@t134 @t141 (@list @t138))) % 0.15/0.39 (step @p244 :rule instantiate :premises (@p225) :args ((@list @t108 @t123 @t111 @t123 @t109 @t109))) % 0.15/0.39 (step @p245 :rule cnf_or_pos :args (@t143)) % 0.15/0.39 (step @p246 :rule reordering :premises (@p245) :args ((or @t139 @t142 (not @t143)))) % 0.15/0.39 (step @p247 :rule chain_m_resolution :premises (@p246 @p237 @p244) :args (@t142 @t121 (@list @t126 @t143))) % 0.15/0.39 (step @p248 :rule cnf_and_pos :args (@t142 0)) % 0.15/0.39 (step @p249 :rule reordering :premises (@p248) :args ((or @t137 (not @t142)))) % 0.15/0.39 (step @p250 :rule chain_m_resolution :premises (@p249 @p247) :args (@t137 @t141 (@list @t142))) % 0.15/0.39 (step @p251 :rule not_implies_elim1 :premises (@p196)) % 0.15/0.39 (step @p252 :rule instantiate :premises (@p251) :args ((@list @t108 @t110))) % 0.15/0.39 (step @p253 :rule cnf_or_pos :args (@t144)) % 0.15/0.39 (step @p254 :rule reordering :premises (@p253) :args ((or @t127 @t135 (not @t144)))) % 0.15/0.39 (step @p255 :rule chain_m_resolution :premises (@p254 @p234 @p252) :args (@t135 @t121 (@list @t124 @t144))) % 0.15/0.39 (step @p256 :rule cnf_or_pos :args (@t137)) % 0.15/0.39 (step @p257 :rule reordering :premises (@p256) :args ((or @t136 @t132 (not @t137)))) % 0.15/0.39 (step @p258 :rule chain_m_resolution :premises (@p257 @p255 @p250) :args (@t132 @t121 (@list @t135 @t137))) % 0.15/0.39 (step @p259 :rule not_implies_elim1 :premises (@p195)) % 0.15/0.39 (step @p260 :rule instantiate :premises (@p259) :args ((@list @t108))) % 0.15/0.39 (step @p261 :rule cnf_or_pos :args (@t145)) % 0.15/0.39 (step @p262 :rule reordering :premises (@p261) :args ((or @t139 @t130 (not @t145)))) % 0.15/0.39 (step @p263 :rule chain_m_resolution :premises (@p262 @p237 @p260) :args (@t130 @t121 (@list @t126 @t145))) % 0.15/0.39 (step @p264 :rule cnf_or_pos :args (@t134)) % 0.15/0.39 (step @p265 :rule reordering :premises (@p264) :args ((or @t131 @t133 @t122 (not @t134)))) % 0.15/0.39 (step @p266 :rule chain_m_resolution :premises (@p265 @p263 @p258 @p243) :args (@t122 @t129 (@list @t130 @t132 @t134))) % 0.15/0.39 (step @p267 :rule true_intro :premises (@p266)) % 0.15/0.39 (step @p268 :rule symm :premises (@p267)) % 0.15/0.39 (step @p269 :rule trans :premises (@p268 @p224 @p223 @p205 @p203)) % 0.15/0.39 (step @p270 false :rule eq_resolve :premises (@p269 @p3)) % 0.15/0.39 ) % 0.15/0.39 % SZS output end Proof % 0.15/0.39 % cvc5 exiting %------------------------------------------------------------------------------