%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ALG298^5 : 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 : 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 08:05:45 AM UTC 2026 % Result : Theorem 0.73s 0.92s % Output : Proof 0.73s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : ALG298^5 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n011.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Wed Jun 3 01:59:50 EDT 2026 % 0.16/0.34 % CPUTime : % 0.31/0.49 %----Proving TH0 % 0.73/0.92 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.73/0.92 % SZS status Theorem % 0.73/0.92 % SZS output start Proof % 0.73/0.92 ( % 0.73/0.92 (declare-sort tptp.a 0) % 0.73/0.92 (declare-sort tptp.b 0) % 0.73/0.92 (declare-sort tptp.c 0) % 0.73/0.92 (declare-const tptp.c_stara (-> tptp.a tptp.a tptp.a)) % 0.73/0.92 (declare-const tptp.c_starb (-> tptp.b tptp.b tptp.b)) % 0.73/0.92 (declare-const tptp.c_starc (-> tptp.c tptp.c tptp.c)) % 0.73/0.92 (define @t1 () (@var "Xy" tptp.b)) % 0.73/0.92 (define @t2 () (@var "Xh" (-> tptp.b tptp.c))) % 0.73/0.92 (define @t3 () (_ @t2 @t1)) % 0.73/0.92 (define @t4 () (@var "Xx" tptp.b)) % 0.73/0.92 (define @t5 () (_ @t2 @t4)) % 0.73/0.92 (define @t6 () (_ (_ tptp.c_starc @t5) @t3)) % 0.73/0.92 (define @t7 () (_ (_ tptp.c_starb @t4) @t1)) % 0.73/0.92 (define @t8 () (_ @t2 @t7)) % 0.73/0.92 (define @t9 () (= @t8 @t6)) % 0.73/0.92 (define @t10 () (@list @t4 @t1)) % 0.73/0.92 (define @t11 () (forall @t10 @t9)) % 0.73/0.92 (define @t12 () (@var "Xy" tptp.a)) % 0.73/0.92 (define @t13 () (@var "Xg" (-> tptp.a tptp.c))) % 0.73/0.92 (define @t14 () (_ @t13 @t12)) % 0.73/0.92 (define @t15 () (@var "Xx" tptp.a)) % 0.73/0.92 (define @t16 () (_ @t13 @t15)) % 0.73/0.92 (define @t17 () (_ (_ tptp.c_starc @t16) @t14)) % 0.73/0.92 (define @t18 () (_ (_ tptp.c_stara @t15) @t12)) % 0.73/0.92 (define @t19 () (_ @t13 @t18)) % 0.73/0.92 (define @t20 () (= @t19 @t17)) % 0.73/0.92 (define @t21 () (@list @t15 @t12)) % 0.73/0.92 (define @t22 () (forall @t21 @t20)) % 0.73/0.92 (define @t23 () (@var "Xf" (-> tptp.a tptp.b))) % 0.73/0.92 (define @t24 () (_ @t23 @t12)) % 0.73/0.92 (define @t25 () (_ @t23 @t15)) % 0.73/0.92 (define @t26 () (_ (_ tptp.c_starb @t25) @t24)) % 0.73/0.92 (define @t27 () (_ @t23 @t18)) % 0.73/0.92 (define @t28 () (= @t27 @t26)) % 0.73/0.92 (define @t29 () (forall @t21 @t28)) % 0.73/0.92 (define @t30 () (= @t25 @t1)) % 0.73/0.92 (define @t31 () (@list @t15)) % 0.73/0.92 (define @t32 () (exists @t31 @t30)) % 0.73/0.92 (define @t33 () (@list @t1)) % 0.73/0.92 (define @t34 () (forall @t33 @t32)) % 0.73/0.92 (define @t35 () (_ @t2 @t25)) % 0.73/0.92 (define @t36 () (= @t35 @t16)) % 0.73/0.92 (define @t37 () (forall @t31 @t36)) % 0.73/0.92 (define @t38 () (and @t37 @t34 @t29 @t22)) % 0.73/0.92 (define @t39 () (=> @t38 @t11)) % 0.73/0.92 (define @t40 () (@list @t23 @t13 @t2)) % 0.73/0.92 (define @t41 () (forall @t40 @t39)) % 0.73/0.92 (define @t42 () (not @t41)) % 0.73/0.92 (define @t43 () (@var "BOUND_VARIABLE_7525" tptp.b)) % 0.73/0.92 (define @t44 () (@var "BOUND_VARIABLE_7523" tptp.b)) % 0.73/0.92 (define @t45 () (= (_ @t2 (tptp.c_starb @t44 @t43)) (tptp.c_starc (_ @t2 @t44) (_ @t2 @t43)))) % 0.73/0.92 (define @t46 () (_ @t13 @t12)) % 0.73/0.92 (define @t47 () (_ @t13 @t15)) % 0.73/0.92 (define @t48 () (tptp.c_starc @t47 @t46)) % 0.73/0.92 (define @t49 () (tptp.c_stara @t15 @t12)) % 0.73/0.92 (define @t50 () (_ @t13 @t49)) % 0.73/0.92 (define @t51 () (forall @t21 (= @t50 @t48))) % 0.73/0.92 (define @t52 () (not @t51)) % 0.73/0.92 (define @t53 () (_ @t23 @t12)) % 0.73/0.92 (define @t54 () (_ @t23 @t15)) % 0.73/0.92 (define @t55 () (tptp.c_starb @t54 @t53)) % 0.73/0.92 (define @t56 () (_ @t23 @t49)) % 0.73/0.92 (define @t57 () (forall @t21 (= @t56 @t55))) % 0.73/0.92 (define @t58 () (not @t57)) % 0.73/0.92 (define @t59 () (forall @t33 (not (forall @t31 (not (= @t1 @t54)))))) % 0.73/0.92 (define @t60 () (not @t59)) % 0.73/0.92 (define @t61 () (_ @t2 @t54)) % 0.73/0.92 (define @t62 () (forall @t31 (= @t61 @t47))) % 0.73/0.92 (define @t63 () (not @t62)) % 0.73/0.92 (define @t64 () (or @t63 @t60 @t58 @t52 @t45)) % 0.73/0.92 (define @t65 () (forall (@list @t23 @t13 @t2 @t44 @t43) @t64)) % 0.73/0.92 (define @t66 () (@list @t44 @t43)) % 0.73/0.92 (define @t67 () (forall @t66 @t64)) % 0.73/0.92 (define @t68 () (forall @t66 @t45)) % 0.73/0.92 (define @t69 () (or @t63 @t60 @t58 @t52 @t68)) % 0.73/0.92 (define @t70 () (_ @t2 @t1)) % 0.73/0.92 (define @t71 () (_ @t2 @t4)) % 0.73/0.92 (define @t72 () (tptp.c_starc @t71 @t70)) % 0.73/0.92 (define @t73 () (tptp.c_starb @t4 @t1)) % 0.73/0.92 (define @t74 () (_ @t2 @t73)) % 0.73/0.92 (define @t75 () (forall @t10 (= @t74 @t72))) % 0.73/0.92 (define @t76 () (or @t63 @t60 @t58 @t52 @t75)) % 0.73/0.92 (define @t77 () (or @t63 @t60 @t58 @t52)) % 0.73/0.92 (define @t78 () (and @t62 @t59 @t57 @t51)) % 0.73/0.92 (define @t79 () (not (= @t54 @t1))) % 0.73/0.92 (define @t80 () (not @t30)) % 0.73/0.92 (define @t81 () (forall @t31 @t80)) % 0.73/0.92 (define @t82 () (not @t81)) % 0.73/0.92 (define @t83 () (@quantifiers_skolemize @t65 4)) % 0.73/0.92 (define @t84 () (@quantifiers_skolemize @t65 2)) % 0.73/0.92 (define @t85 () (@quantifiers_skolemize @t65 3)) % 0.73/0.92 (define @t86 () (= (_ @t84 (tptp.c_starb @t85 @t83)) (tptp.c_starc (_ @t84 @t85) (_ @t84 @t83)))) % 0.73/0.92 (define @t87 () (@quantifiers_skolemize @t65 1)) % 0.73/0.92 (define @t88 () (_ @t87 @t15)) % 0.73/0.92 (define @t89 () (forall @t21 (= (_ @t87 @t49) (tptp.c_starc @t88 (_ @t87 @t12))))) % 0.73/0.92 (define @t90 () (not @t89)) % 0.73/0.92 (define @t91 () (@quantifiers_skolemize @t65 0)) % 0.73/0.92 (define @t92 () (_ @t91 @t15)) % 0.73/0.92 (define @t93 () (forall @t21 (= (_ @t91 @t49) (tptp.c_starb @t92 (_ @t91 @t12))))) % 0.73/0.92 (define @t94 () (not @t93)) % 0.73/0.92 (define @t95 () (forall @t33 (not (forall @t31 (not (= @t1 @t92)))))) % 0.73/0.92 (define @t96 () (not @t95)) % 0.73/0.92 (define @t97 () (forall @t31 (= (_ @t84 @t92) @t88))) % 0.73/0.92 (define @t98 () (not @t97)) % 0.73/0.92 (define @t99 () (or @t98 @t96 @t94 @t90 @t86)) % 0.73/0.92 (define @t100 () (not @t86)) % 0.73/0.92 (define @t101 () (@list true)) % 0.73/0.92 (define @t102 () (@list @t99)) % 0.73/0.92 (define @t103 () (forall @t31 (not (= @t85 @t92)))) % 0.73/0.92 (define @t104 () (@quantifiers_skolemize @t103 0)) % 0.73/0.92 (define @t105 () (_ @t91 @t104)) % 0.73/0.92 (define @t106 () (= @t85 @t105)) % 0.73/0.92 (define @t107 () (not @t103)) % 0.73/0.92 (define @t108 () (not @t106)) % 0.73/0.92 (define @t109 () (not @t108)) % 0.73/0.92 (define @t110 () (forall @t31 (not (= @t83 @t92)))) % 0.73/0.92 (define @t111 () (@quantifiers_skolemize @t110 0)) % 0.73/0.92 (define @t112 () (_ @t91 @t111)) % 0.73/0.92 (define @t113 () (= @t83 @t112)) % 0.73/0.92 (define @t114 () (not @t110)) % 0.73/0.92 (define @t115 () (not @t113)) % 0.73/0.92 (define @t116 () (not @t115)) % 0.73/0.92 (define @t117 () (@list @t104 @t111)) % 0.73/0.92 (define @t118 () (tptp.c_stara @t104 @t111)) % 0.73/0.92 (define @t119 () (_ @t87 @t111)) % 0.73/0.92 (define @t120 () (_ @t87 @t104)) % 0.73/0.92 (define @t121 () (tptp.c_starc @t120 @t119)) % 0.73/0.92 (define @t122 () (_ @t87 @t118)) % 0.73/0.92 (define @t123 () (= @t122 @t121)) % 0.73/0.92 (define @t124 () (not @t123)) % 0.73/0.92 (define @t125 () (_ @t91 @t118)) % 0.73/0.92 (define @t126 () (_ @t84 @t125)) % 0.73/0.92 (define @t127 () (= @t126 @t122)) % 0.73/0.92 (define @t128 () (not @t127)) % 0.73/0.92 (define @t129 () (tptp.c_starb @t105 @t112)) % 0.73/0.92 (define @t130 () (= @t125 @t129)) % 0.73/0.92 (define @t131 () (not @t130)) % 0.73/0.92 (define @t132 () (_ @t84 @t112)) % 0.73/0.92 (define @t133 () (= @t132 @t119)) % 0.73/0.92 (define @t134 () (not @t133)) % 0.73/0.92 (define @t135 () (_ @t84 @t105)) % 0.73/0.92 (define @t136 () (= @t135 @t120)) % 0.73/0.92 (define @t137 () (not @t136)) % 0.73/0.92 (define @t138 () (and @t100 @t106 @t136 @t113 @t133 @t130 @t127)) % 0.73/0.92 (assume @p1 @t42) % 0.73/0.92 (assume @p2 true) % 0.73/0.92 (step @p3 :rule quant-merge-prenex :args ((= (forall @t40 @t67) @t65))) % 0.73/0.92 (step @p4 :rule alpha_equiv :args (@t68 (@list @t44 @t43) (@list @t4 @t1))) % 0.73/0.92 (step @p5 :rule refl :args (@t52)) % 0.73/0.92 (step @p6 :rule refl :args (@t58)) % 0.73/0.92 (step @p7 :rule refl :args (@t60)) % 0.73/0.92 (step @p8 :rule refl :args (@t63)) % 0.73/0.92 (step @p9 :rule nary_cong :premises (@p8 @p7 @p6 @p5 @p4) :args (@t69)) % 0.73/0.92 (step @p10 :rule quant-miniscope-or :args ((= @t67 @t69))) % 0.73/0.92 (step @p11 :rule trans :premises (@p10 @p9)) % 0.73/0.92 (step @p12 :rule symm :premises (@p11)) % 0.73/0.92 (step @p13 :rule cong :premises (@p12) :args ((forall @t40 @t76))) % 0.73/0.92 (step @p14 :rule trans :premises (@p13 @p3)) % 0.73/0.92 (step @p15 :rule aci_norm :args ((= (or @t77 @t75) @t76))) % 0.73/0.92 (step @p16 :rule refl :args (@t75)) % 0.73/0.92 (step @p17 :rule aci_norm :args ((= (or @t63 (or @t60 (or @t58 @t52))) @t77))) % 0.73/0.92 (step @p18 :rule bool-and-de-morgan :args (@t57 @t51 true)) % 0.73/0.92 (step @p19 :rule nary_cong :premises (@p7 @p18) :args ((or @t60 (not (and @t57 @t51))))) % 0.73/0.92 (step @p20 :rule bool-and-de-morgan :args (@t59 @t57 (and @t51))) % 0.73/0.92 (step @p21 :rule trans :premises (@p20 @p19)) % 0.73/0.92 (step @p22 :rule nary_cong :premises (@p8 @p21) :args ((or @t63 (not (and @t59 @t57 @t51))))) % 0.73/0.92 (step @p23 :rule bool-and-de-morgan :args (@t62 @t59 (and @t57 @t51))) % 0.73/0.92 (step @p24 :rule trans :premises (@p23 @p22)) % 0.73/0.92 (step @p25 :rule trans :premises (@p24 @p17)) % 0.73/0.92 (step @p26 :rule nary_cong :premises (@p25 @p16) :args ((or (not @t78) @t75))) % 0.73/0.92 (step @p27 :rule trans :premises (@p26 @p15)) % 0.73/0.92 (step @p28 :rule bool-impl-elim :args (@t78 @t75)) % 0.73/0.92 (step @p29 :rule trans :premises (@p28 @p27)) % 0.73/0.92 (step @p30 :rule cong :premises (@p29) :args ((forall @t40 (=> @t78 @t75)))) % 0.73/0.92 (step @p31 :rule trans :premises (@p30 @p14)) % 0.73/0.92 (step @p32 :rule refl :args ((tptp.c_starc @t5 @t3))) % 0.73/0.92 (step @p33 :rule refl :args (@t70)) % 0.73/0.92 (step @p34 :rule refl :args (@t71)) % 0.73/0.92 (step @p35 :rule cong :premises (@p34 @p33) :args (@t72)) % 0.73/0.92 (step @p36 :rule trans :premises (@p35 @p32)) % 0.73/0.92 (step @p37 :rule refl :args (tptp.c_starc)) % 0.73/0.92 (step @p38 :rule ho_cong :premises (@p37 @p34)) % 0.73/0.92 (step @p39 :rule ho_cong :premises (@p38 @p33)) % 0.73/0.92 (step @p40 :rule cong :premises (@p39 @p36) :args ((= (_ (_ tptp.c_starc @t71) @t70) @t72))) % 0.73/0.92 (step @p41 :rule symm :premises (@p40)) % 0.73/0.92 (step @p42 :rule refl :args (@t6)) % 0.73/0.92 (step @p43 :rule eq_resolve :premises (@p42 @p41)) % 0.73/0.92 (step @p44 :rule refl :args (@t3)) % 0.73/0.92 (step @p45 :rule cong :premises (@p44 @p33) :args ((= @t3 @t70))) % 0.73/0.92 (step @p46 :rule symm :premises (@p45)) % 0.73/0.92 (step @p47 :rule eq_resolve :premises (@p44 @p46)) % 0.73/0.92 (step @p48 :rule refl :args (@t5)) % 0.73/0.92 (step @p49 :rule cong :premises (@p48 @p34) :args ((= @t5 @t71))) % 0.73/0.92 (step @p50 :rule symm :premises (@p49)) % 0.73/0.92 (step @p51 :rule eq_resolve :premises (@p48 @p50)) % 0.73/0.92 (step @p52 :rule ho_cong :premises (@p37 @p51)) % 0.73/0.92 (step @p53 :rule ho_cong :premises (@p52 @p47)) % 0.73/0.92 (step @p54 :rule trans :premises (@p53 @p43)) % 0.73/0.92 (step @p55 :rule refl :args ((_ @t2 @t7))) % 0.73/0.92 (step @p56 :rule refl :args (@t73)) % 0.73/0.92 (step @p57 :rule cong :premises (@p56) :args (@t74)) % 0.73/0.92 (step @p58 :rule trans :premises (@p57 @p55)) % 0.73/0.92 (step @p59 :rule refl :args (@t2)) % 0.73/0.92 (step @p60 :rule ho_cong :premises (@p59 @p56)) % 0.73/0.92 (step @p61 :rule cong :premises (@p60 @p58) :args ((= (_ @t2 @t73) @t74))) % 0.73/0.92 (step @p62 :rule symm :premises (@p61)) % 0.73/0.92 (step @p63 :rule refl :args (@t8)) % 0.73/0.92 (step @p64 :rule eq_resolve :premises (@p63 @p62)) % 0.73/0.92 (step @p65 :rule refl :args (@t7)) % 0.73/0.92 (step @p66 :rule cong :premises (@p65 @p56) :args ((= @t7 @t73))) % 0.73/0.92 (step @p67 :rule symm :premises (@p66)) % 0.73/0.92 (step @p68 :rule eq_resolve :premises (@p65 @p67)) % 0.73/0.92 (step @p69 :rule ho_cong :premises (@p59 @p68)) % 0.73/0.92 (step @p70 :rule trans :premises (@p69 @p64)) % 0.73/0.92 (step @p71 :rule cong :premises (@p70 @p54) :args (@t9)) % 0.73/0.92 (step @p72 :rule cong :premises (@p71) :args (@t11)) % 0.73/0.92 (step @p73 :rule refl :args ((tptp.c_starc @t16 @t14))) % 0.73/0.92 (step @p74 :rule refl :args (@t46)) % 0.73/0.92 (step @p75 :rule refl :args (@t47)) % 0.73/0.92 (step @p76 :rule cong :premises (@p75 @p74) :args (@t48)) % 0.73/0.92 (step @p77 :rule trans :premises (@p76 @p73)) % 0.73/0.92 (step @p78 :rule ho_cong :premises (@p37 @p75)) % 0.73/0.92 (step @p79 :rule ho_cong :premises (@p78 @p74)) % 0.73/0.92 (step @p80 :rule cong :premises (@p79 @p77) :args ((= (_ (_ tptp.c_starc @t47) @t46) @t48))) % 0.73/0.92 (step @p81 :rule symm :premises (@p80)) % 0.73/0.92 (step @p82 :rule refl :args (@t17)) % 0.73/0.92 (step @p83 :rule eq_resolve :premises (@p82 @p81)) % 0.73/0.92 (step @p84 :rule refl :args (@t14)) % 0.73/0.92 (step @p85 :rule cong :premises (@p84 @p74) :args ((= @t14 @t46))) % 0.73/0.92 (step @p86 :rule symm :premises (@p85)) % 0.73/0.92 (step @p87 :rule eq_resolve :premises (@p84 @p86)) % 0.73/0.92 (step @p88 :rule refl :args (@t16)) % 0.73/0.92 (step @p89 :rule cong :premises (@p88 @p75) :args ((= @t16 @t47))) % 0.73/0.92 (step @p90 :rule symm :premises (@p89)) % 0.73/0.92 (step @p91 :rule eq_resolve :premises (@p88 @p90)) % 0.73/0.92 (step @p92 :rule ho_cong :premises (@p37 @p91)) % 0.73/0.92 (step @p93 :rule ho_cong :premises (@p92 @p87)) % 0.73/0.92 (step @p94 :rule trans :premises (@p93 @p83)) % 0.73/0.92 (step @p95 :rule refl :args ((_ @t13 @t18))) % 0.73/0.92 (step @p96 :rule refl :args (@t49)) % 0.73/0.92 (step @p97 :rule cong :premises (@p96) :args (@t50)) % 0.73/0.92 (step @p98 :rule trans :premises (@p97 @p95)) % 0.73/0.92 (step @p99 :rule refl :args (@t13)) % 0.73/0.92 (step @p100 :rule ho_cong :premises (@p99 @p96)) % 0.73/0.92 (step @p101 :rule cong :premises (@p100 @p98) :args ((= (_ @t13 @t49) @t50))) % 0.73/0.92 (step @p102 :rule symm :premises (@p101)) % 0.73/0.92 (step @p103 :rule refl :args (@t19)) % 0.73/0.92 (step @p104 :rule eq_resolve :premises (@p103 @p102)) % 0.73/0.92 (step @p105 :rule refl :args (@t18)) % 0.73/0.92 (step @p106 :rule cong :premises (@p105 @p96) :args ((= @t18 @t49))) % 0.73/0.92 (step @p107 :rule symm :premises (@p106)) % 0.73/0.92 (step @p108 :rule eq_resolve :premises (@p105 @p107)) % 0.73/0.92 (step @p109 :rule ho_cong :premises (@p99 @p108)) % 0.73/0.92 (step @p110 :rule trans :premises (@p109 @p104)) % 0.73/0.92 (step @p111 :rule cong :premises (@p110 @p94) :args (@t20)) % 0.73/0.92 (step @p112 :rule cong :premises (@p111) :args (@t22)) % 0.73/0.92 (step @p113 :rule refl :args ((tptp.c_starb @t25 @t24))) % 0.73/0.92 (step @p114 :rule refl :args (@t53)) % 0.73/0.92 (step @p115 :rule refl :args (@t54)) % 0.73/0.92 (step @p116 :rule cong :premises (@p115 @p114) :args (@t55)) % 0.73/0.92 (step @p117 :rule trans :premises (@p116 @p113)) % 0.73/0.92 (step @p118 :rule refl :args (tptp.c_starb)) % 0.73/0.92 (step @p119 :rule ho_cong :premises (@p118 @p115)) % 0.73/0.92 (step @p120 :rule ho_cong :premises (@p119 @p114)) % 0.73/0.92 (step @p121 :rule cong :premises (@p120 @p117) :args ((= (_ (_ tptp.c_starb @t54) @t53) @t55))) % 0.73/0.92 (step @p122 :rule symm :premises (@p121)) % 0.73/0.92 (step @p123 :rule refl :args (@t26)) % 0.73/0.92 (step @p124 :rule eq_resolve :premises (@p123 @p122)) % 0.73/0.92 (step @p125 :rule refl :args (@t24)) % 0.73/0.92 (step @p126 :rule cong :premises (@p125 @p114) :args ((= @t24 @t53))) % 0.73/0.92 (step @p127 :rule symm :premises (@p126)) % 0.73/0.92 (step @p128 :rule eq_resolve :premises (@p125 @p127)) % 0.73/0.92 (step @p129 :rule refl :args (@t25)) % 0.73/0.92 (step @p130 :rule cong :premises (@p129 @p115) :args ((= @t25 @t54))) % 0.73/0.92 (step @p131 :rule symm :premises (@p130)) % 0.73/0.92 (step @p132 :rule eq_resolve :premises (@p129 @p131)) % 0.73/0.92 (step @p133 :rule ho_cong :premises (@p118 @p132)) % 0.73/0.92 (step @p134 :rule ho_cong :premises (@p133 @p128)) % 0.73/0.92 (step @p135 :rule trans :premises (@p134 @p124)) % 0.73/0.92 (step @p136 :rule refl :args ((_ @t23 @t18))) % 0.73/0.92 (step @p137 :rule cong :premises (@p96) :args (@t56)) % 0.73/0.92 (step @p138 :rule trans :premises (@p137 @p136)) % 0.73/0.92 (step @p139 :rule refl :args (@t23)) % 0.73/0.92 (step @p140 :rule ho_cong :premises (@p139 @p96)) % 0.73/0.92 (step @p141 :rule cong :premises (@p140 @p138) :args ((= (_ @t23 @t49) @t56))) % 0.73/0.92 (step @p142 :rule symm :premises (@p141)) % 0.73/0.92 (step @p143 :rule refl :args (@t27)) % 0.73/0.92 (step @p144 :rule eq_resolve :premises (@p143 @p142)) % 0.73/0.92 (step @p145 :rule ho_cong :premises (@p139 @p108)) % 0.73/0.92 (step @p146 :rule trans :premises (@p145 @p144)) % 0.73/0.92 (step @p147 :rule cong :premises (@p146 @p135) :args (@t28)) % 0.73/0.92 (step @p148 :rule cong :premises (@p147) :args (@t29)) % 0.73/0.92 (step @p149 :rule eq-symm :args (@t54 @t1)) % 0.73/0.92 (step @p150 :rule cong :premises (@p149) :args (@t79)) % 0.73/0.92 (step @p151 :rule cong :premises (@p150) :args ((forall @t31 @t79))) % 0.73/0.92 (step @p152 :rule refl :args (@t1)) % 0.73/0.92 (step @p153 :rule cong :premises (@p132 @p152) :args (@t30)) % 0.73/0.92 (step @p154 :rule cong :premises (@p153) :args (@t80)) % 0.73/0.92 (step @p155 :rule cong :premises (@p154) :args (@t81)) % 0.73/0.92 (step @p156 :rule trans :premises (@p155 @p151)) % 0.73/0.92 (step @p157 :rule cong :premises (@p156) :args (@t82)) % 0.73/0.92 (step @p158 :rule exists-elim :args ((= @t32 @t82))) % 0.73/0.92 (step @p159 :rule trans :premises (@p158 @p157)) % 0.73/0.92 (step @p160 :rule cong :premises (@p159) :args (@t34)) % 0.73/0.92 (step @p161 :rule refl :args ((_ @t2 @t25))) % 0.73/0.92 (step @p162 :rule cong :premises (@p115) :args (@t61)) % 0.73/0.92 (step @p163 :rule trans :premises (@p162 @p161)) % 0.73/0.92 (step @p164 :rule ho_cong :premises (@p59 @p115)) % 0.73/0.92 (step @p165 :rule cong :premises (@p164 @p163) :args ((= (_ @t2 @t54) @t61))) % 0.73/0.92 (step @p166 :rule symm :premises (@p165)) % 0.73/0.92 (step @p167 :rule refl :args (@t35)) % 0.73/0.92 (step @p168 :rule eq_resolve :premises (@p167 @p166)) % 0.73/0.92 (step @p169 :rule ho_cong :premises (@p59 @p132)) % 0.73/0.92 (step @p170 :rule trans :premises (@p169 @p168)) % 0.73/0.92 (step @p171 :rule cong :premises (@p170 @p91) :args (@t36)) % 0.73/0.92 (step @p172 :rule cong :premises (@p171) :args (@t37)) % 0.73/0.92 (step @p173 :rule nary_cong :premises (@p172 @p160 @p148 @p112) :args (@t38)) % 0.73/0.92 (step @p174 :rule cong :premises (@p173 @p72) :args (@t39)) % 0.73/0.92 (step @p175 :rule cong :premises (@p174) :args (@t41)) % 0.73/0.92 (step @p176 :rule trans :premises (@p175 @p31)) % 0.73/0.92 (step @p177 :rule cong :premises (@p176) :args (@t42)) % 0.73/0.92 (step @p178 :rule eq_resolve :premises (@p1 @p177)) % 0.73/0.92 (step @p179 :rule skolemize :premises (@p178)) % 0.73/0.92 (step @p180 :rule cnf_or_neg :args (@t99 4)) % 0.73/0.92 (step @p181 :rule chain_m_resolution :premises (@p180 @p179) :args (@t100 @t101 @t102)) % 0.73/0.92 (step @p182 :rule bool-double-not-elim :args (@t95)) % 0.73/0.92 (step @p183 :rule refl :args (@t99)) % 0.73/0.92 (step @p184 :rule nary_cong :premises (@p183 @p182) :args ((or @t99 (not @t96)))) % 0.73/0.92 (step @p185 :rule cnf_or_neg :args (@t99 1)) % 0.73/0.92 (step @p186 :rule eq_resolve :premises (@p185 @p184)) % 0.73/0.92 (step @p187 :rule reordering :premises (@p186) :args ((or @t95 @t99))) % 0.73/0.92 (step @p188 :rule chain_m_resolution :premises (@p187 @p179) :args (@t95 @t101 @t102)) % 0.73/0.92 (step @p189 :rule instantiate :premises (@p188) :args ((@list @t85))) % 0.73/0.92 (step @p190 :rule refl :args (@t106)) % 0.73/0.92 (step @p191 :rule bool-double-not-elim :args (@t103)) % 0.73/0.92 (step @p192 :rule nary_cong :premises (@p191 @p190) :args ((or (not @t107) @t106))) % 0.73/0.92 (step @p193 :rule bool-double-not-elim :args (@t106)) % 0.73/0.92 (step @p194 :rule refl :args (@t107)) % 0.73/0.92 (step @p195 :rule cong :premises (@p194 @p193) :args ((=> @t107 @t109))) % 0.73/0.92 (assume-push @p289 @t107) % 0.73/0.92 (step @p197 :rule skolemize :premises (@p189)) % 0.73/0.92 (step-pop @p290 :rule scope :premises (@p197)) % 0.73/0.92 (step @p198 :rule process_scope :premises (@p290) :args (@t109)) % 0.73/0.92 (step @p200 :rule eq_resolve :premises (@p198 @p195)) % 0.73/0.92 (step @p201 :rule implies_elim :premises (@p200)) % 0.73/0.92 (step @p202 :rule eq_resolve :premises (@p201 @p192)) % 0.73/0.92 (step @p203 :rule chain_m_resolution :premises (@p202 @p189) :args (@t106 @t101 (@list @t103))) % 0.73/0.92 (step @p204 :rule bool-double-not-elim :args (@t97)) % 0.73/0.92 (step @p205 :rule nary_cong :premises (@p183 @p204) :args ((or @t99 (not @t98)))) % 0.73/0.92 (step @p206 :rule cnf_or_neg :args (@t99 0)) % 0.73/0.92 (step @p207 :rule eq_resolve :premises (@p206 @p205)) % 0.73/0.92 (step @p208 :rule reordering :premises (@p207) :args ((or @t97 @t99))) % 0.73/0.92 (step @p209 :rule chain_m_resolution :premises (@p208 @p179) :args (@t97 @t101 @t102)) % 0.73/0.92 (step @p210 :rule instantiate :premises (@p209) :args ((@list @t104))) % 0.73/0.92 (step @p211 :rule instantiate :premises (@p188) :args ((@list @t83))) % 0.73/0.92 (step @p212 :rule refl :args (@t113)) % 0.73/0.92 (step @p213 :rule bool-double-not-elim :args (@t110)) % 0.73/0.92 (step @p214 :rule nary_cong :premises (@p213 @p212) :args ((or (not @t114) @t113))) % 0.73/0.92 (step @p215 :rule bool-double-not-elim :args (@t113)) % 0.73/0.92 (step @p216 :rule refl :args (@t114)) % 0.73/0.92 (step @p217 :rule cong :premises (@p216 @p215) :args ((=> @t114 @t116))) % 0.73/0.92 (assume-push @p291 @t114) % 0.73/0.92 (step @p219 :rule skolemize :premises (@p211)) % 0.73/0.92 (step-pop @p292 :rule scope :premises (@p219)) % 0.73/0.92 (step @p220 :rule process_scope :premises (@p292) :args (@t116)) % 0.73/0.92 (step @p222 :rule eq_resolve :premises (@p220 @p217)) % 0.73/0.92 (step @p223 :rule implies_elim :premises (@p222)) % 0.73/0.92 (step @p224 :rule eq_resolve :premises (@p223 @p214)) % 0.73/0.92 (step @p225 :rule chain_m_resolution :premises (@p224 @p211) :args (@t113 @t101 (@list @t110))) % 0.73/0.92 (step @p226 :rule instantiate :premises (@p209) :args ((@list @t111))) % 0.73/0.92 (step @p227 :rule bool-double-not-elim :args (@t93)) % 0.73/0.92 (step @p228 :rule nary_cong :premises (@p183 @p227) :args ((or @t99 (not @t94)))) % 0.73/0.92 (step @p229 :rule cnf_or_neg :args (@t99 2)) % 0.73/0.92 (step @p230 :rule eq_resolve :premises (@p229 @p228)) % 0.73/0.92 (step @p231 :rule reordering :premises (@p230) :args ((or @t93 @t99))) % 0.73/0.92 (step @p232 :rule chain_m_resolution :premises (@p231 @p179) :args (@t93 @t101 @t102)) % 0.73/0.92 (step @p233 :rule instantiate :premises (@p232) :args (@t117)) % 0.73/0.92 (step @p234 :rule instantiate :premises (@p209) :args ((@list @t118))) % 0.73/0.92 (step @p235 :rule bool-double-not-elim :args (@t89)) % 0.73/0.92 (step @p236 :rule nary_cong :premises (@p183 @p235) :args ((or @t99 (not @t90)))) % 0.73/0.92 (step @p237 :rule cnf_or_neg :args (@t99 3)) % 0.73/0.92 (step @p238 :rule eq_resolve :premises (@p237 @p236)) % 0.73/0.92 (step @p239 :rule reordering :premises (@p238) :args ((or @t89 @t99))) % 0.73/0.92 (step @p240 :rule chain_m_resolution :premises (@p239 @p179) :args (@t89 @t101 @t102)) % 0.73/0.92 (step @p241 :rule instantiate :premises (@p240) :args (@t117)) % 0.73/0.92 (step @p242 :rule refl :args (@t124)) % 0.73/0.92 (step @p243 :rule refl :args (@t128)) % 0.73/0.92 (step @p244 :rule refl :args (@t131)) % 0.73/0.92 (step @p245 :rule refl :args (@t134)) % 0.73/0.92 (step @p246 :rule refl :args (@t115)) % 0.73/0.92 (step @p247 :rule refl :args (@t137)) % 0.73/0.92 (step @p248 :rule refl :args (@t108)) % 0.73/0.92 (step @p249 :rule bool-double-not-elim :args (@t86)) % 0.73/0.92 (step @p250 :rule nary_cong :premises (@p249 @p248 @p247 @p246 @p245 @p244 @p243 @p242) :args ((or (not @t100) @t108 @t137 @t115 @t134 @t131 @t128 @t124))) % 0.73/0.92 (assume-push @p293 @t100) % 0.73/0.92 (assume-push @p294 @t106) % 0.73/0.92 (assume-push @p295 @t136) % 0.73/0.92 (assume-push @p296 @t113) % 0.73/0.92 (assume-push @p297 @t133) % 0.73/0.92 (assume-push @p298 @t130) % 0.73/0.92 (assume-push @p299 @t127) % 0.73/0.92 (step @p258 :rule false_intro :premises (@p181)) % 0.73/0.92 (step @p259 :rule symm :premises (@p225)) % 0.73/0.92 (step @p260 :rule cong :premises (@p259) :args (@t132)) % 0.73/0.92 (step @p261 :rule symm :premises (@p226)) % 0.73/0.92 (step @p262 :rule trans :premises (@p261 @p260)) % 0.73/0.92 (step @p263 :rule symm :premises (@p203)) % 0.73/0.92 (step @p264 :rule cong :premises (@p263) :args (@t135)) % 0.73/0.92 (step @p265 :rule symm :premises (@p210)) % 0.73/0.92 (step @p266 :rule trans :premises (@p265 @p264)) % 0.73/0.92 (step @p267 :rule cong :premises (@p266 @p262) :args (@t121)) % 0.73/0.92 (step @p268 :rule cong :premises (@p263 @p259) :args (@t129)) % 0.73/0.92 (step @p269 :rule trans :premises (@p233 @p268)) % 0.73/0.92 (step @p270 :rule cong :premises (@p269) :args (@t126)) % 0.73/0.92 (step @p271 :rule symm :premises (@p234)) % 0.73/0.92 (step @p272 :rule trans :premises (@p271 @p270)) % 0.73/0.92 (step @p273 :rule cong :premises (@p272 @p267) :args (@t123)) % 0.73/0.92 (step @p274 :rule trans :premises (@p273 @p258)) % 0.73/0.92 (step @p275 :rule false_elim :premises (@p274)) % 0.73/0.92 (step-pop @p300 :rule scope :premises (@p275)) % 0.73/0.92 (step-pop @p301 :rule scope :premises (@p300)) % 0.73/0.92 (step-pop @p302 :rule scope :premises (@p301)) % 0.73/0.92 (step-pop @p303 :rule scope :premises (@p302)) % 0.73/0.92 (step-pop @p304 :rule scope :premises (@p303)) % 0.73/0.92 (step-pop @p305 :rule scope :premises (@p304)) % 0.73/0.93 (step-pop @p306 :rule scope :premises (@p305)) % 0.73/0.93 (step @p276 :rule process_scope :premises (@p306) :args (@t124)) % 0.73/0.93 (step @p284 :rule implies_elim :premises (@p276)) % 0.73/0.93 (step @p285 :rule cnf_and_neg :args (@t138)) % 0.73/0.93 (step @p286 :rule resolution :premises (@p285 @p284) :args (true @t138)) % 0.73/0.93 (step @p287 :rule eq_resolve :premises (@p286 @p250)) % 0.73/0.93 (step @p288 false :rule chain_m_resolution :premises (@p287 @p241 @p234 @p233 @p226 @p225 @p210 @p203 @p181) :args (false (@list false false false false false false false true) (@list @t123 @t127 @t130 @t133 @t113 @t136 @t106 @t86))) % 0.73/0.93 ) % 0.73/0.93 % SZS output end Proof % 0.73/0.93 % cvc5 exiting %------------------------------------------------------------------------------