%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEV104^5 : 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 : n010.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 08:55:27 AM UTC 2026 % Result : Theorem 0.38s 0.58s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEV104^5 : TPTP v9.2.1. Released v4.0.0. % 0.00/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.35 % Computer : n010.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 : Tue Jun 2 18:12:55 EDT 2026 % 0.16/0.35 % CPUTime : % 0.26/0.50 %----Proving TH0 % 0.38/0.58 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.38/0.58 % SZS status Theorem % 0.38/0.58 % SZS output start Proof % 0.38/0.58 ( % 0.38/0.58 (declare-sort tptp.b 0) % 0.38/0.58 (declare-sort tptp.a 0) % 0.38/0.58 (declare-const tptp.cS (-> tptp.b tptp.b Bool)) % 0.38/0.58 (declare-const tptp.f (-> tptp.a tptp.b Bool)) % 0.38/0.58 (declare-const tptp.z tptp.a) % 0.38/0.58 (declare-const tptp.cR (-> tptp.a tptp.a Bool)) % 0.38/0.58 (define @t1 () (@var "Xx2" tptp.a)) % 0.38/0.58 (define @t2 () (@var "Xx1" tptp.a)) % 0.38/0.58 (define @t3 () (_ tptp.cR @t2)) % 0.38/0.58 (define @t4 () (_ @t3 @t1)) % 0.38/0.58 (define @t5 () (_ (_ tptp.cR @t1) tptp.z)) % 0.38/0.58 (define @t6 () (@var "Xy" tptp.b)) % 0.38/0.58 (define @t7 () (@var "Xw" tptp.a)) % 0.38/0.58 (define @t8 () (not (_ (_ tptp.f @t7) @t6))) % 0.38/0.58 (define @t9 () (and @t8 @t5)) % 0.38/0.58 (define @t10 () (_ (_ tptp.f @t1) @t6)) % 0.38/0.58 (define @t11 () (@list @t7)) % 0.38/0.58 (define @t12 () (forall @t11 (or @t10 @t9))) % 0.38/0.58 (define @t13 () (_ @t3 tptp.z)) % 0.38/0.58 (define @t14 () (and @t8 @t13)) % 0.38/0.58 (define @t15 () (_ (_ tptp.f @t2) @t6)) % 0.38/0.58 (define @t16 () (forall @t11 (or @t15 @t14))) % 0.38/0.58 (define @t17 () (and @t16 @t12)) % 0.38/0.58 (define @t18 () (=> @t17 @t4)) % 0.38/0.58 (define @t19 () (@list @t6 @t2 @t1)) % 0.38/0.58 (define @t20 () (forall @t19 @t18)) % 0.38/0.58 (define @t21 () (and @t15 @t10)) % 0.38/0.58 (define @t22 () (@list @t2 @t1 @t6)) % 0.38/0.58 (define @t23 () (forall @t22 (=> @t21 @t4))) % 0.38/0.58 (define @t24 () (@var "Xy2" tptp.b)) % 0.38/0.58 (define @t25 () (@var "Xy1" tptp.b)) % 0.38/0.58 (define @t26 () (_ (_ tptp.cS @t25) @t24)) % 0.38/0.58 (define @t27 () (@var "Xx" tptp.a)) % 0.38/0.58 (define @t28 () (_ tptp.f @t27)) % 0.38/0.58 (define @t29 () (_ @t28 @t24)) % 0.38/0.58 (define @t30 () (_ @t28 @t25)) % 0.38/0.58 (define @t31 () (and @t30 @t29)) % 0.38/0.58 (define @t32 () (@list @t27 @t25 @t24)) % 0.38/0.58 (define @t33 () (forall @t32 (=> @t31 @t26))) % 0.38/0.58 (define @t34 () (_ @t28 @t6)) % 0.38/0.58 (define @t35 () (@list @t6)) % 0.38/0.58 (define @t36 () (exists @t35 @t34)) % 0.38/0.58 (define @t37 () (@list @t27)) % 0.38/0.58 (define @t38 () (forall @t37 @t36)) % 0.38/0.58 (define @t39 () (and @t38 @t33 @t23)) % 0.38/0.58 (define @t40 () (=> @t39 @t20)) % 0.38/0.58 (define @t41 () (_ (_ tptp.cR @t27) @t27)) % 0.38/0.58 (define @t42 () (forall @t37 @t41)) % 0.38/0.58 (define @t43 () (@var "Xu" tptp.a)) % 0.38/0.58 (define @t44 () (_ tptp.cR @t43)) % 0.38/0.58 (define @t45 () (_ @t44 @t7)) % 0.38/0.58 (define @t46 () (@var "Xv" tptp.a)) % 0.38/0.58 (define @t47 () (_ (_ tptp.cR @t7) @t46)) % 0.38/0.58 (define @t48 () (_ @t44 @t46)) % 0.38/0.58 (define @t49 () (and @t48 @t47)) % 0.38/0.58 (define @t50 () (@list @t43 @t46 @t7)) % 0.38/0.58 (define @t51 () (forall @t50 (=> @t49 @t45))) % 0.38/0.58 (define @t52 () (and @t51 @t42)) % 0.38/0.58 (define @t53 () (=> @t52 @t40)) % 0.38/0.58 (define @t54 () (not @t53)) % 0.38/0.58 (define @t55 () (tptp.cR @t2 @t1)) % 0.38/0.58 (define @t56 () (tptp.cR @t1 tptp.z)) % 0.38/0.58 (define @t57 () (not @t5)) % 0.38/0.58 (define @t58 () (@var "BOUND_VARIABLE_7554" tptp.a)) % 0.38/0.58 (define @t59 () (tptp.f @t58 @t6)) % 0.38/0.58 (define @t60 () (@list @t58)) % 0.38/0.58 (define @t61 () (forall @t60 (not @t59))) % 0.38/0.58 (define @t62 () (not @t61)) % 0.38/0.58 (define @t63 () (or @t62 @t57)) % 0.38/0.58 (define @t64 () (tptp.f @t1 @t6)) % 0.38/0.58 (define @t65 () (not @t10)) % 0.38/0.58 (define @t66 () (and @t65 @t63)) % 0.38/0.58 (define @t67 () (tptp.cR @t2 tptp.z)) % 0.38/0.58 (define @t68 () (not @t13)) % 0.38/0.58 (define @t69 () (@var "BOUND_VARIABLE_7537" tptp.a)) % 0.38/0.58 (define @t70 () (tptp.f @t69 @t6)) % 0.38/0.58 (define @t71 () (@list @t69)) % 0.38/0.58 (define @t72 () (forall @t71 (not @t70))) % 0.38/0.58 (define @t73 () (not @t72)) % 0.38/0.58 (define @t74 () (or @t73 @t68)) % 0.38/0.58 (define @t75 () (tptp.f @t2 @t6)) % 0.38/0.58 (define @t76 () (not @t15)) % 0.38/0.58 (define @t77 () (and @t76 @t74)) % 0.38/0.58 (define @t78 () (or @t77 @t66 @t4)) % 0.38/0.58 (define @t79 () (and @t61 @t5)) % 0.38/0.58 (define @t80 () (and @t72 @t13)) % 0.38/0.58 (define @t81 () (or @t10 @t79)) % 0.38/0.58 (define @t82 () (or @t15 @t80)) % 0.38/0.58 (define @t83 () (and @t82 @t81)) % 0.38/0.58 (define @t84 () (_ (_ tptp.f @t58) @t6)) % 0.38/0.58 (define @t85 () (not @t84)) % 0.38/0.58 (define @t86 () (forall @t60 @t85)) % 0.38/0.58 (define @t87 () (forall @t11 @t5)) % 0.38/0.58 (define @t88 () (forall @t11 @t8)) % 0.38/0.58 (define @t89 () (@list @t7)) % 0.38/0.58 (define @t90 () (@list @t58)) % 0.38/0.58 (define @t91 () (and @t88 @t87)) % 0.38/0.58 (define @t92 () (forall @t11 @t9)) % 0.38/0.58 (define @t93 () (or @t10 @t92)) % 0.38/0.58 (define @t94 () (_ (_ tptp.f @t69) @t6)) % 0.38/0.58 (define @t95 () (not @t94)) % 0.38/0.58 (define @t96 () (forall @t71 @t95)) % 0.38/0.58 (define @t97 () (forall @t11 @t13)) % 0.38/0.58 (define @t98 () (@list @t69)) % 0.38/0.58 (define @t99 () (and @t88 @t97)) % 0.38/0.58 (define @t100 () (forall @t11 @t14)) % 0.38/0.58 (define @t101 () (or @t15 @t100)) % 0.38/0.58 (define @t102 () (or @t76 @t65 @t4)) % 0.38/0.58 (define @t103 () (tptp.cS @t25 @t24)) % 0.38/0.58 (define @t104 () (tptp.f @t27 @t24)) % 0.38/0.58 (define @t105 () (not @t29)) % 0.38/0.58 (define @t106 () (tptp.f @t27 @t25)) % 0.38/0.58 (define @t107 () (not @t30)) % 0.38/0.58 (define @t108 () (or @t107 @t105 @t26)) % 0.38/0.58 (define @t109 () (tptp.f @t27 @t6)) % 0.38/0.58 (define @t110 () (not @t34)) % 0.38/0.58 (define @t111 () (forall @t35 @t110)) % 0.38/0.58 (define @t112 () (not @t111)) % 0.38/0.58 (define @t113 () (tptp.cR @t27 @t27)) % 0.38/0.58 (define @t114 () (tptp.cR @t43 @t7)) % 0.38/0.58 (define @t115 () (tptp.cR @t7 @t46)) % 0.38/0.58 (define @t116 () (not @t47)) % 0.38/0.58 (define @t117 () (tptp.cR @t43 @t46)) % 0.38/0.58 (define @t118 () (not @t48)) % 0.38/0.58 (define @t119 () (or @t118 @t116 @t45)) % 0.38/0.58 (define @t120 () (forall @t19 (or (and (not @t75) (or @t73 (not @t67))) (and (not @t64) (or @t62 (not @t56))) @t55))) % 0.38/0.58 (define @t121 () (@quantifiers_skolemize @t120 2)) % 0.38/0.58 (define @t122 () (@quantifiers_skolemize @t120 1)) % 0.38/0.58 (define @t123 () (tptp.cR @t122 @t121)) % 0.38/0.58 (define @t124 () (tptp.cR @t121 tptp.z)) % 0.38/0.58 (define @t125 () (not @t124)) % 0.38/0.58 (define @t126 () (@quantifiers_skolemize @t120 0)) % 0.38/0.58 (define @t127 () (forall @t60 (not (tptp.f @t58 @t126)))) % 0.38/0.58 (define @t128 () (not @t127)) % 0.38/0.58 (define @t129 () (or @t128 @t125)) % 0.38/0.58 (define @t130 () (tptp.f @t121 @t126)) % 0.38/0.58 (define @t131 () (not @t130)) % 0.38/0.58 (define @t132 () (and @t131 @t129)) % 0.38/0.58 (define @t133 () (tptp.cR @t122 tptp.z)) % 0.38/0.58 (define @t134 () (not @t133)) % 0.38/0.58 (define @t135 () (forall @t71 (not (tptp.f @t69 @t126)))) % 0.38/0.58 (define @t136 () (not @t135)) % 0.38/0.58 (define @t137 () (or @t136 @t134)) % 0.38/0.58 (define @t138 () (tptp.f @t122 @t126)) % 0.38/0.58 (define @t139 () (not @t138)) % 0.38/0.58 (define @t140 () (and @t139 @t137)) % 0.38/0.58 (define @t141 () (or @t140 @t132 @t123)) % 0.38/0.58 (define @t142 () (@list true)) % 0.38/0.58 (define @t143 () (@list @t141)) % 0.38/0.58 (define @t144 () (not @t137)) % 0.38/0.58 (define @t145 () (not @t129)) % 0.38/0.58 (define @t146 () (or @t134 @t125 @t123)) % 0.38/0.58 (define @t147 () (@list @t135)) % 0.38/0.58 (define @t148 () (or @t139 @t131 @t123)) % 0.38/0.58 (assume @p1 @t54) % 0.38/0.58 (assume @p2 true) % 0.38/0.58 (step @p3 :rule refl :args (@t55)) % 0.38/0.58 (step @p4 :rule refl :args (@t4)) % 0.38/0.58 (step @p5 :rule cong :premises (@p4 @p3) :args ((= @t4 @t55))) % 0.38/0.58 (step @p6 :rule symm :premises (@p5)) % 0.38/0.58 (step @p7 :rule eq_resolve :premises (@p4 @p6)) % 0.38/0.58 (step @p8 :rule refl :args (@t56)) % 0.38/0.58 (step @p9 :rule refl :args (@t5)) % 0.38/0.58 (step @p10 :rule cong :premises (@p9 @p8) :args ((= @t5 @t56))) % 0.38/0.58 (step @p11 :rule symm :premises (@p10)) % 0.38/0.58 (step @p12 :rule eq_resolve :premises (@p9 @p11)) % 0.38/0.58 (step @p13 :rule cong :premises (@p12) :args (@t57)) % 0.38/0.58 (step @p14 :rule refl :args (@t62)) % 0.38/0.58 (step @p15 :rule nary_cong :premises (@p14 @p13) :args (@t63)) % 0.38/0.58 (step @p16 :rule refl :args (@t64)) % 0.38/0.58 (step @p17 :rule refl :args (@t10)) % 0.38/0.58 (step @p18 :rule cong :premises (@p17 @p16) :args ((= @t10 @t64))) % 0.38/0.58 (step @p19 :rule symm :premises (@p18)) % 0.38/0.58 (step @p20 :rule eq_resolve :premises (@p17 @p19)) % 0.38/0.58 (step @p21 :rule cong :premises (@p20) :args (@t65)) % 0.38/0.58 (step @p22 :rule nary_cong :premises (@p21 @p15) :args (@t66)) % 0.38/0.58 (step @p23 :rule refl :args (@t67)) % 0.38/0.58 (step @p24 :rule refl :args (@t13)) % 0.38/0.58 (step @p25 :rule cong :premises (@p24 @p23) :args ((= @t13 @t67))) % 0.38/0.58 (step @p26 :rule symm :premises (@p25)) % 0.38/0.58 (step @p27 :rule eq_resolve :premises (@p24 @p26)) % 0.38/0.58 (step @p28 :rule cong :premises (@p27) :args (@t68)) % 0.38/0.58 (step @p29 :rule refl :args (@t73)) % 0.38/0.58 (step @p30 :rule nary_cong :premises (@p29 @p28) :args (@t74)) % 0.38/0.58 (step @p31 :rule refl :args (@t75)) % 0.38/0.58 (step @p32 :rule refl :args (@t15)) % 0.38/0.58 (step @p33 :rule cong :premises (@p32 @p31) :args ((= @t15 @t75))) % 0.38/0.58 (step @p34 :rule symm :premises (@p33)) % 0.38/0.58 (step @p35 :rule eq_resolve :premises (@p32 @p34)) % 0.38/0.58 (step @p36 :rule cong :premises (@p35) :args (@t76)) % 0.38/0.58 (step @p37 :rule nary_cong :premises (@p36 @p30) :args (@t77)) % 0.38/0.58 (step @p38 :rule nary_cong :premises (@p37 @p22 @p7) :args (@t78)) % 0.38/0.58 (step @p39 :rule cong :premises (@p38) :args ((forall @t19 @t78))) % 0.38/0.58 (step @p40 :rule aci_norm :args ((= (or (or @t77 @t66) @t4) @t78))) % 0.38/0.58 (step @p41 :rule bool-and-de-morgan :args (@t61 @t5 true)) % 0.38/0.58 (step @p42 :rule refl :args (@t65)) % 0.38/0.58 (step @p43 :rule nary_cong :premises (@p42 @p41) :args ((and @t65 (not @t79)))) % 0.38/0.58 (step @p44 :rule bool-or-de-morgan :args (@t10 @t79 false)) % 0.38/0.58 (step @p45 :rule trans :premises (@p44 @p43)) % 0.38/0.58 (step @p46 :rule bool-and-de-morgan :args (@t72 @t13 true)) % 0.38/0.58 (step @p47 :rule refl :args (@t76)) % 0.38/0.58 (step @p48 :rule nary_cong :premises (@p47 @p46) :args ((and @t76 (not @t80)))) % 0.38/0.58 (step @p49 :rule bool-or-de-morgan :args (@t15 @t80 false)) % 0.38/0.58 (step @p50 :rule trans :premises (@p49 @p48)) % 0.38/0.58 (step @p51 :rule nary_cong :premises (@p50 @p45) :args ((or (not @t82) (not @t81)))) % 0.38/0.58 (step @p52 :rule bool-and-de-morgan :args (@t82 @t81 true)) % 0.38/0.58 (step @p53 :rule trans :premises (@p52 @p51)) % 0.38/0.58 (step @p54 :rule nary_cong :premises (@p53 @p4) :args ((or (not @t83) @t4))) % 0.38/0.58 (step @p55 :rule trans :premises (@p54 @p40)) % 0.38/0.58 (step @p56 :rule bool-impl-elim :args (@t83 @t4)) % 0.38/0.58 (step @p57 :rule trans :premises (@p56 @p55)) % 0.38/0.58 (step @p58 :rule cong :premises (@p57) :args ((forall @t19 (=> @t83 @t4)))) % 0.38/0.58 (step @p59 :rule trans :premises (@p58 @p39)) % 0.38/0.58 (step @p60 :rule refl :args (@t4)) % 0.38/0.58 (step @p61 :rule refl :args (@t5)) % 0.38/0.58 (step @p62 :rule refl :args (@t59)) % 0.38/0.58 (step @p63 :rule refl :args (@t84)) % 0.38/0.58 (step @p64 :rule cong :premises (@p63 @p62) :args ((= @t84 @t59))) % 0.38/0.58 (step @p65 :rule symm :premises (@p64)) % 0.38/0.58 (step @p66 :rule eq_resolve :premises (@p63 @p65)) % 0.38/0.58 (step @p67 :rule cong :premises (@p66) :args (@t85)) % 0.38/0.58 (step @p68 :rule cong :premises (@p67) :args (@t86)) % 0.38/0.58 (step @p69 :rule nary_cong :premises (@p68 @p61) :args ((and @t86 @t5))) % 0.38/0.58 (step @p70 :rule quant-unused-vars :args ((= @t87 @t5))) % 0.38/0.58 (step @p71 :rule alpha_equiv :args (@t88 @t89 @t90)) % 0.38/0.58 (step @p72 :rule nary_cong :premises (@p71 @p70) :args (@t91)) % 0.38/0.58 (step @p73 :rule quant-miniscope-and :args ((= @t92 @t91))) % 0.38/0.58 (step @p74 :rule trans :premises (@p73 @p72)) % 0.38/0.58 (step @p75 :rule trans :premises (@p74 @p69)) % 0.38/0.58 (step @p76 :rule refl :args (@t10)) % 0.38/0.58 (step @p77 :rule nary_cong :premises (@p76 @p75) :args (@t93)) % 0.38/0.58 (step @p78 :rule quant-miniscope-or :args ((= @t12 @t93))) % 0.38/0.58 (step @p79 :rule trans :premises (@p78 @p77)) % 0.38/0.58 (step @p80 :rule refl :args (@t13)) % 0.38/0.58 (step @p81 :rule refl :args (@t70)) % 0.38/0.58 (step @p82 :rule refl :args (@t94)) % 0.38/0.58 (step @p83 :rule cong :premises (@p82 @p81) :args ((= @t94 @t70))) % 0.38/0.58 (step @p84 :rule symm :premises (@p83)) % 0.38/0.58 (step @p85 :rule eq_resolve :premises (@p82 @p84)) % 0.38/0.58 (step @p86 :rule cong :premises (@p85) :args (@t95)) % 0.38/0.58 (step @p87 :rule cong :premises (@p86) :args (@t96)) % 0.38/0.58 (step @p88 :rule nary_cong :premises (@p87 @p80) :args ((and @t96 @t13))) % 0.38/0.58 (step @p89 :rule quant-unused-vars :args ((= @t97 @t13))) % 0.38/0.58 (step @p90 :rule alpha_equiv :args (@t88 @t89 @t98)) % 0.38/0.58 (step @p91 :rule nary_cong :premises (@p90 @p89) :args (@t99)) % 0.38/0.58 (step @p92 :rule quant-miniscope-and :args ((= @t100 @t99))) % 0.38/0.58 (step @p93 :rule trans :premises (@p92 @p91)) % 0.38/0.58 (step @p94 :rule trans :premises (@p93 @p88)) % 0.38/0.58 (step @p95 :rule refl :args (@t15)) % 0.38/0.58 (step @p96 :rule nary_cong :premises (@p95 @p94) :args (@t101)) % 0.38/0.58 (step @p97 :rule quant-miniscope-or :args ((= @t16 @t101))) % 0.38/0.58 (step @p98 :rule trans :premises (@p97 @p96)) % 0.38/0.58 (step @p99 :rule nary_cong :premises (@p98 @p79) :args (@t17)) % 0.38/0.58 (step @p100 :rule cong :premises (@p99 @p60) :args (@t18)) % 0.38/0.58 (step @p101 :rule cong :premises (@p100) :args (@t20)) % 0.38/0.58 (step @p102 :rule trans :premises (@p101 @p59)) % 0.38/0.58 (step @p103 :rule nary_cong :premises (@p36 @p21 @p7) :args (@t102)) % 0.38/0.58 (step @p104 :rule cong :premises (@p103) :args ((forall @t22 @t102))) % 0.38/0.58 (step @p105 :rule aci_norm :args ((= (or (or @t76 @t65) @t4) @t102))) % 0.38/0.58 (step @p106 :rule bool-and-de-morgan :args (@t15 @t10 true)) % 0.38/0.58 (step @p107 :rule nary_cong :premises (@p106 @p4) :args ((or (not @t21) @t4))) % 0.38/0.58 (step @p108 :rule trans :premises (@p107 @p105)) % 0.38/0.58 (step @p109 :rule bool-impl-elim :args (@t21 @t4)) % 0.38/0.58 (step @p110 :rule trans :premises (@p109 @p108)) % 0.38/0.58 (step @p111 :rule cong :premises (@p110) :args (@t23)) % 0.38/0.58 (step @p112 :rule trans :premises (@p111 @p104)) % 0.38/0.58 (step @p113 :rule refl :args (@t103)) % 0.38/0.58 (step @p114 :rule refl :args (@t26)) % 0.38/0.58 (step @p115 :rule cong :premises (@p114 @p113) :args ((= @t26 @t103))) % 0.38/0.58 (step @p116 :rule symm :premises (@p115)) % 0.38/0.58 (step @p117 :rule eq_resolve :premises (@p114 @p116)) % 0.38/0.58 (step @p118 :rule refl :args (@t104)) % 0.38/0.58 (step @p119 :rule refl :args (@t29)) % 0.38/0.58 (step @p120 :rule cong :premises (@p119 @p118) :args ((= @t29 @t104))) % 0.38/0.58 (step @p121 :rule symm :premises (@p120)) % 0.38/0.58 (step @p122 :rule eq_resolve :premises (@p119 @p121)) % 0.38/0.58 (step @p123 :rule cong :premises (@p122) :args (@t105)) % 0.38/0.58 (step @p124 :rule refl :args (@t106)) % 0.38/0.58 (step @p125 :rule refl :args (@t30)) % 0.38/0.58 (step @p126 :rule cong :premises (@p125 @p124) :args ((= @t30 @t106))) % 0.38/0.58 (step @p127 :rule symm :premises (@p126)) % 0.38/0.58 (step @p128 :rule eq_resolve :premises (@p125 @p127)) % 0.38/0.58 (step @p129 :rule cong :premises (@p128) :args (@t107)) % 0.38/0.58 (step @p130 :rule nary_cong :premises (@p129 @p123 @p117) :args (@t108)) % 0.38/0.58 (step @p131 :rule cong :premises (@p130) :args ((forall @t32 @t108))) % 0.38/0.58 (step @p132 :rule aci_norm :args ((= (or (or @t107 @t105) @t26) @t108))) % 0.38/0.58 (step @p133 :rule bool-and-de-morgan :args (@t30 @t29 true)) % 0.38/0.58 (step @p134 :rule nary_cong :premises (@p133 @p114) :args ((or (not @t31) @t26))) % 0.38/0.58 (step @p135 :rule trans :premises (@p134 @p132)) % 0.38/0.58 (step @p136 :rule bool-impl-elim :args (@t31 @t26)) % 0.38/0.58 (step @p137 :rule trans :premises (@p136 @p135)) % 0.38/0.58 (step @p138 :rule cong :premises (@p137) :args (@t33)) % 0.38/0.58 (step @p139 :rule trans :premises (@p138 @p131)) % 0.38/0.58 (step @p140 :rule refl :args (@t109)) % 0.38/0.58 (step @p141 :rule refl :args (@t34)) % 0.38/0.58 (step @p142 :rule cong :premises (@p141 @p140) :args ((= @t34 @t109))) % 0.38/0.58 (step @p143 :rule symm :premises (@p142)) % 0.38/0.58 (step @p144 :rule eq_resolve :premises (@p141 @p143)) % 0.38/0.58 (step @p145 :rule cong :premises (@p144) :args (@t110)) % 0.38/0.58 (step @p146 :rule cong :premises (@p145) :args (@t111)) % 0.38/0.58 (step @p147 :rule cong :premises (@p146) :args (@t112)) % 0.38/0.58 (step @p148 :rule exists-elim :args ((= @t36 @t112))) % 0.38/0.58 (step @p149 :rule trans :premises (@p148 @p147)) % 0.38/0.58 (step @p150 :rule cong :premises (@p149) :args (@t38)) % 0.38/0.58 (step @p151 :rule nary_cong :premises (@p150 @p139 @p112) :args (@t39)) % 0.38/0.58 (step @p152 :rule cong :premises (@p151 @p102) :args (@t40)) % 0.38/0.58 (step @p153 :rule refl :args (@t113)) % 0.38/0.58 (step @p154 :rule refl :args (@t41)) % 0.38/0.58 (step @p155 :rule cong :premises (@p154 @p153) :args ((= @t41 @t113))) % 0.38/0.58 (step @p156 :rule symm :premises (@p155)) % 0.38/0.58 (step @p157 :rule eq_resolve :premises (@p154 @p156)) % 0.38/0.58 (step @p158 :rule cong :premises (@p157) :args (@t42)) % 0.38/0.58 (step @p159 :rule refl :args (@t114)) % 0.38/0.58 (step @p160 :rule refl :args (@t45)) % 0.38/0.58 (step @p161 :rule cong :premises (@p160 @p159) :args ((= @t45 @t114))) % 0.38/0.58 (step @p162 :rule symm :premises (@p161)) % 0.38/0.58 (step @p163 :rule eq_resolve :premises (@p160 @p162)) % 0.38/0.58 (step @p164 :rule refl :args (@t115)) % 0.38/0.58 (step @p165 :rule refl :args (@t47)) % 0.38/0.58 (step @p166 :rule cong :premises (@p165 @p164) :args ((= @t47 @t115))) % 0.38/0.58 (step @p167 :rule symm :premises (@p166)) % 0.38/0.58 (step @p168 :rule eq_resolve :premises (@p165 @p167)) % 0.38/0.58 (step @p169 :rule cong :premises (@p168) :args (@t116)) % 0.38/0.58 (step @p170 :rule refl :args (@t117)) % 0.38/0.58 (step @p171 :rule refl :args (@t48)) % 0.38/0.58 (step @p172 :rule cong :premises (@p171 @p170) :args ((= @t48 @t117))) % 0.38/0.58 (step @p173 :rule symm :premises (@p172)) % 0.38/0.58 (step @p174 :rule eq_resolve :premises (@p171 @p173)) % 0.38/0.58 (step @p175 :rule cong :premises (@p174) :args (@t118)) % 0.38/0.58 (step @p176 :rule nary_cong :premises (@p175 @p169 @p163) :args (@t119)) % 0.38/0.58 (step @p177 :rule cong :premises (@p176) :args ((forall @t50 @t119))) % 0.38/0.58 (step @p178 :rule aci_norm :args ((= (or (or @t118 @t116) @t45) @t119))) % 0.38/0.58 (step @p179 :rule bool-and-de-morgan :args (@t48 @t47 true)) % 0.38/0.58 (step @p180 :rule nary_cong :premises (@p179 @p160) :args ((or (not @t49) @t45))) % 0.38/0.58 (step @p181 :rule trans :premises (@p180 @p178)) % 0.38/0.58 (step @p182 :rule bool-impl-elim :args (@t49 @t45)) % 0.38/0.58 (step @p183 :rule trans :premises (@p182 @p181)) % 0.38/0.58 (step @p184 :rule cong :premises (@p183) :args (@t51)) % 0.38/0.58 (step @p185 :rule trans :premises (@p184 @p177)) % 0.38/0.58 (step @p186 :rule nary_cong :premises (@p185 @p158) :args (@t52)) % 0.38/0.58 (step @p187 :rule cong :premises (@p186 @p152) :args (@t53)) % 0.38/0.58 (step @p188 :rule cong :premises (@p187) :args (@t54)) % 0.38/0.58 (step @p189 :rule eq_resolve :premises (@p1 @p188)) % 0.38/0.58 (step @p190 :rule not_implies_elim2 :premises (@p189)) % 0.38/0.58 (step @p191 :rule not_implies_elim2 :premises (@p190)) % 0.38/0.58 (step @p192 :rule skolemize :premises (@p191)) % 0.38/0.58 (step @p193 :rule cnf_or_neg :args (@t141 1)) % 0.38/0.58 (step @p194 :rule chain_m_resolution :premises (@p193 @p192) :args ((not @t132) @t142 @t143)) % 0.38/0.58 (assume-push @p265 @t135) % 0.38/0.58 (step @p196 :rule instantiate :premises (@p265) :args ((@list @t122))) % 0.38/0.58 (step-pop @p266 :rule scope :premises (@p196)) % 0.38/0.58 (step @p197 :rule process_scope :premises (@p266) :args (@t139)) % 0.38/0.58 (step @p199 :rule implies_elim :premises (@p197)) % 0.38/0.58 (step @p200 :rule reordering :premises (@p199) :args ((or @t139 @t136))) % 0.38/0.58 (assume-push @p267 @t135) % 0.38/0.58 (step @p202 :rule instantiate :premises (@p267) :args ((@list @t121))) % 0.38/0.58 (step-pop @p268 :rule scope :premises (@p202)) % 0.38/0.58 (step @p203 :rule process_scope :premises (@p268) :args (@t131)) % 0.38/0.58 (step @p205 :rule implies_elim :premises (@p203)) % 0.38/0.58 (step @p206 :rule cnf_or_neg :args (@t141 0)) % 0.38/0.58 (step @p207 :rule chain_m_resolution :premises (@p206 @p192) :args ((not @t140) @t142 @t143)) % 0.38/0.58 (step @p208 :rule refl :args (@t144)) % 0.38/0.58 (step @p209 :rule bool-double-not-elim :args (@t138)) % 0.38/0.58 (step @p210 :rule refl :args (@t140)) % 0.38/0.58 (step @p211 :rule nary_cong :premises (@p210 @p209 @p208) :args ((or @t140 (not @t139) @t144))) % 0.38/0.58 (step @p212 :rule cnf_and_neg :args (@t140)) % 0.38/0.58 (step @p213 :rule eq_resolve :premises (@p212 @p211)) % 0.38/0.58 (step @p214 :rule reordering :premises (@p213) :args ((or @t138 @t140 @t144))) % 0.38/0.58 (step @p215 :rule refl :args (@t145)) % 0.38/0.58 (step @p216 :rule bool-double-not-elim :args (@t130)) % 0.38/0.58 (step @p217 :rule refl :args (@t132)) % 0.38/0.58 (step @p218 :rule nary_cong :premises (@p217 @p216 @p215) :args ((or @t132 (not @t131) @t145))) % 0.38/0.58 (step @p219 :rule cnf_and_neg :args (@t132)) % 0.38/0.58 (step @p220 :rule eq_resolve :premises (@p219 @p218)) % 0.38/0.58 (step @p221 :rule reordering :premises (@p220) :args ((or @t130 @t132 @t145))) % 0.38/0.58 (step @p222 :rule bool-double-not-elim :args (@t133)) % 0.38/0.58 (step @p223 :rule refl :args (@t137)) % 0.38/0.58 (step @p224 :rule nary_cong :premises (@p223 @p222) :args ((or @t137 (not @t134)))) % 0.38/0.58 (step @p225 :rule cnf_or_neg :args (@t137 1)) % 0.38/0.58 (step @p226 :rule eq_resolve :premises (@p225 @p224)) % 0.38/0.58 (step @p227 :rule reordering :premises (@p226) :args ((or @t133 @t137))) % 0.38/0.58 (step @p228 :rule bool-double-not-elim :args (@t124)) % 0.38/0.58 (step @p229 :rule refl :args (@t129)) % 0.38/0.58 (step @p230 :rule nary_cong :premises (@p229 @p228) :args ((or @t129 (not @t125)))) % 0.38/0.58 (step @p231 :rule cnf_or_neg :args (@t129 1)) % 0.38/0.58 (step @p232 :rule eq_resolve :premises (@p231 @p230)) % 0.38/0.58 (step @p233 :rule reordering :premises (@p232) :args ((or @t124 @t129))) % 0.38/0.58 (step @p234 :rule cnf_or_neg :args (@t141 2)) % 0.38/0.58 (step @p235 :rule chain_m_resolution :premises (@p234 @p192) :args ((not @t123) @t142 @t143)) % 0.38/0.58 (step @p236 :rule not_implies_elim1 :premises (@p189)) % 0.38/0.58 (step @p237 :rule and_elim :premises (@p236) :args (0)) % 0.38/0.58 (step @p238 :rule instantiate :premises (@p237) :args ((@list @t122 tptp.z @t121))) % 0.38/0.58 (step @p239 :rule cnf_or_pos :args (@t146)) % 0.38/0.58 (step @p240 :rule reordering :premises (@p239) :args ((or @t134 @t125 @t123 (not @t146)))) % 0.38/0.58 (step @p241 :rule chain_m_resolution :premises (@p240 @p238 @p235 @p233 @p227 @p221 @p194 @p214 @p207 @p205 @p200) :args (@t136 (@list false true false false true true true true true true) (@list @t146 @t123 @t124 @t133 @t129 @t132 @t137 @t140 @t130 @t138))) % 0.38/0.58 (step @p242 :rule alpha_equiv :args (@t135 @t98 @t90)) % 0.38/0.58 (step @p243 :rule equiv_elim2 :premises (@p242)) % 0.38/0.58 (step @p244 :rule chain_m_resolution :premises (@p243 @p241) :args (@t128 @t142 @t147)) % 0.38/0.58 (step @p245 :rule bool-double-not-elim :args (@t127)) % 0.38/0.58 (step @p246 :rule nary_cong :premises (@p229 @p245) :args ((or @t129 (not @t128)))) % 0.38/0.58 (step @p247 :rule cnf_or_neg :args (@t129 0)) % 0.38/0.58 (step @p248 :rule eq_resolve :premises (@p247 @p246)) % 0.38/0.58 (step @p249 :rule reordering :premises (@p248) :args ((or @t127 @t129))) % 0.38/0.58 (step @p250 :rule chain_m_resolution :premises (@p249 @p244) :args (@t129 @t142 (@list @t127))) % 0.38/0.58 (step @p251 :rule not_implies_elim1 :premises (@p190)) % 0.38/0.58 (step @p252 :rule and_elim :premises (@p251) :args (2)) % 0.38/0.58 (step @p253 :rule instantiate :premises (@p252) :args ((@list @t122 @t121 @t126))) % 0.38/0.58 (step @p254 :rule bool-double-not-elim :args (@t135)) % 0.38/0.58 (step @p255 :rule nary_cong :premises (@p223 @p254) :args ((or @t137 (not @t136)))) % 0.38/0.58 (step @p256 :rule cnf_or_neg :args (@t137 0)) % 0.38/0.58 (step @p257 :rule eq_resolve :premises (@p256 @p255)) % 0.38/0.58 (step @p258 :rule reordering :premises (@p257) :args ((or @t135 @t137))) % 0.38/0.58 (step @p259 :rule chain_m_resolution :premises (@p258 @p241) :args (@t137 @t142 @t147)) % 0.38/0.58 (step @p260 :rule chain_m_resolution :premises (@p214 @p207 @p259) :args (@t138 (@list true false) (@list @t140 @t137))) % 0.38/0.58 (step @p261 :rule cnf_or_pos :args (@t148)) % 0.38/0.58 (step @p262 :rule reordering :premises (@p261) :args ((or @t139 @t131 @t123 (not @t148)))) % 0.38/0.58 (step @p263 :rule chain_m_resolution :premises (@p262 @p260 @p235 @p253) :args (@t131 (@list false true false) (@list @t138 @t123 @t148))) % 0.38/0.59 (step @p264 false :rule chain_m_resolution :premises (@p221 @p263 @p250 @p194) :args (false (@list true false true) (@list @t130 @t129 @t132))) % 0.38/0.59 ) % 0.38/0.59 % SZS output end Proof % 0.38/0.59 % cvc5 exiting %------------------------------------------------------------------------------