%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEV136^5 : 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 : n004.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 08:55:30 AM UTC 2026 % Result : Theorem 0.37s 0.61s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEV136^5 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n004.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 18:15:22 EDT 2026 % 0.17/0.34 % CPUTime : % 0.29/0.49 %----Proving TH0 % 0.37/0.61 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.37/0.61 % SZS status Theorem % 0.37/0.61 % SZS output start Proof % 0.37/0.61 ( % 0.37/0.61 (declare-sort tptp.a 0) % 0.37/0.61 (define @t1 () (@var "Xy" tptp.a)) % 0.37/0.61 (define @t2 () (@var "Xx" tptp.a)) % 0.37/0.61 (define @t3 () (@var "Xr" (-> tptp.a tptp.a Bool))) % 0.37/0.61 (define @t4 () (@var "T" (-> (-> tptp.a tptp.a Bool) tptp.a tptp.a Bool))) % 0.37/0.61 (define @t5 () (_ @t4 @t3)) % 0.37/0.61 (define @t6 () (_ @t5 @t2)) % 0.37/0.61 (define @t7 () (_ @t6 @t1)) % 0.37/0.61 (define @t8 () (@var "Xx0" (-> tptp.a Bool))) % 0.37/0.61 (define @t9 () (_ @t8 @t1)) % 0.37/0.61 (define @t10 () (_ @t8 @t2)) % 0.37/0.61 (define @t11 () (=> @t10 @t9)) % 0.37/0.61 (define @t12 () (@var "Xz" tptp.a)) % 0.37/0.61 (define @t13 () (_ @t8 @t12)) % 0.37/0.61 (define @t14 () (@var "Xy0" tptp.a)) % 0.37/0.61 (define @t15 () (_ @t8 @t14)) % 0.37/0.61 (define @t16 () (_ (_ @t3 @t14) @t12)) % 0.37/0.61 (define @t17 () (and @t16 @t15)) % 0.37/0.61 (define @t18 () (@list @t14 @t12)) % 0.37/0.61 (define @t19 () (forall @t18 (=> @t17 @t13))) % 0.37/0.61 (define @t20 () (=> @t19 @t11)) % 0.37/0.61 (define @t21 () (@list @t8)) % 0.37/0.61 (define @t22 () (forall @t21 @t20)) % 0.37/0.61 (define @t23 () (=> @t22 @t7)) % 0.37/0.61 (define @t24 () (@list @t2 @t1)) % 0.37/0.61 (define @t25 () (forall @t24 @t23)) % 0.37/0.61 (define @t26 () (_ (_ @t3 @t2) @t1)) % 0.37/0.61 (define @t27 () (forall @t24 (=> @t26 @t7))) % 0.37/0.61 (define @t28 () (_ @t6 @t12)) % 0.37/0.61 (define @t29 () (_ (_ @t5 @t1) @t12)) % 0.37/0.61 (define @t30 () (and @t7 @t29)) % 0.37/0.61 (define @t31 () (@list @t2 @t1 @t12)) % 0.37/0.61 (define @t32 () (forall @t31 (=> @t30 @t28))) % 0.37/0.61 (define @t33 () (_ @t6 @t2)) % 0.37/0.61 (define @t34 () (@list @t2)) % 0.37/0.61 (define @t35 () (forall @t34 @t33)) % 0.37/0.61 (define @t36 () (and @t35 @t32 @t27)) % 0.37/0.61 (define @t37 () (=> @t36 @t25)) % 0.37/0.61 (define @t38 () (@list @t3 @t4)) % 0.37/0.61 (define @t39 () (forall @t38 @t37)) % 0.37/0.61 (define @t40 () (not @t39)) % 0.37/0.61 (define @t41 () (@var "BOUND_VARIABLE_7522" tptp.a)) % 0.37/0.61 (define @t42 () (@var "BOUND_VARIABLE_7520" tptp.a)) % 0.37/0.61 (define @t43 () (_ @t4 @t3 @t42 @t41)) % 0.37/0.61 (define @t44 () (_ @t8 @t12)) % 0.37/0.61 (define @t45 () (_ @t8 @t14)) % 0.37/0.61 (define @t46 () (not @t45)) % 0.37/0.61 (define @t47 () (_ @t3 @t14 @t12)) % 0.37/0.61 (define @t48 () (forall @t18 (or (not @t47) @t46 @t44))) % 0.37/0.61 (define @t49 () (not @t48)) % 0.37/0.61 (define @t50 () (not (forall @t21 (or @t49 (not (_ @t8 @t42)) (_ @t8 @t41))))) % 0.37/0.61 (define @t51 () (_ @t4 @t3 @t2 @t1)) % 0.37/0.61 (define @t52 () (_ @t3 @t2 @t1)) % 0.37/0.61 (define @t53 () (forall @t24 (or (not @t52) @t51))) % 0.37/0.61 (define @t54 () (not @t53)) % 0.37/0.61 (define @t55 () (_ @t4 @t3 @t2 @t12)) % 0.37/0.61 (define @t56 () (_ @t4 @t3 @t1 @t12)) % 0.37/0.61 (define @t57 () (forall @t31 (or (not @t51) (not @t56) @t55))) % 0.37/0.61 (define @t58 () (not @t57)) % 0.37/0.61 (define @t59 () (_ @t4 @t3 @t2 @t2)) % 0.37/0.61 (define @t60 () (forall @t34 @t59)) % 0.37/0.61 (define @t61 () (not @t60)) % 0.37/0.61 (define @t62 () (or @t61 @t58 @t54 @t50 @t43)) % 0.37/0.61 (define @t63 () (or @t50 @t43)) % 0.37/0.61 (define @t64 () (or @t61 @t58 @t54 @t63)) % 0.37/0.61 (define @t65 () (@list @t3 @t4 @t42 @t41)) % 0.37/0.61 (define @t66 () (forall @t65 @t64)) % 0.37/0.61 (define @t67 () (@list @t42 @t41)) % 0.37/0.61 (define @t68 () (forall @t67 @t64)) % 0.37/0.61 (define @t69 () (forall @t67 @t63)) % 0.37/0.61 (define @t70 () (or @t61 @t58 @t54 @t69)) % 0.37/0.61 (define @t71 () (_ @t8 @t1)) % 0.37/0.61 (define @t72 () (_ @t8 @t2)) % 0.37/0.61 (define @t73 () (forall @t21 (or @t49 (not @t72) @t71))) % 0.37/0.61 (define @t74 () (not @t73)) % 0.37/0.61 (define @t75 () (forall @t24 (or @t74 @t51))) % 0.37/0.61 (define @t76 () (or @t61 @t58 @t54 @t75)) % 0.37/0.61 (define @t77 () (or @t61 @t58 @t54)) % 0.37/0.61 (define @t78 () (and @t60 @t57 @t53)) % 0.37/0.61 (define @t79 () (or @t74 @t7)) % 0.37/0.61 (define @t80 () (not @t10)) % 0.37/0.61 (define @t81 () (or @t49 @t80 @t9)) % 0.37/0.61 (define @t82 () (not @t15)) % 0.37/0.61 (define @t83 () (not @t16)) % 0.37/0.61 (define @t84 () (or @t83 @t82 @t13)) % 0.37/0.61 (define @t85 () (not @t26)) % 0.37/0.61 (define @t86 () (or @t85 @t7)) % 0.37/0.61 (define @t87 () (not @t29)) % 0.37/0.61 (define @t88 () (not @t7)) % 0.37/0.61 (define @t89 () (or @t88 @t87 @t28)) % 0.37/0.61 (define @t90 () (forall @t65 @t62)) % 0.37/0.61 (define @t91 () (@quantifiers_skolemize @t90 0)) % 0.37/0.61 (define @t92 () (@quantifiers_skolemize @t90 1)) % 0.37/0.61 (define @t93 () (_ @t92 @t91 @t2 @t1)) % 0.37/0.61 (define @t94 () (forall @t31 (or (not @t93) (not (_ @t92 @t91 @t1 @t12)) (_ @t92 @t91 @t2 @t12)))) % 0.37/0.61 (define @t95 () (@quantifiers_skolemize @t90 3)) % 0.37/0.61 (define @t96 () (@quantifiers_skolemize @t90 2)) % 0.37/0.61 (define @t97 () (_ @t92 @t91 @t96 @t95)) % 0.37/0.61 (define @t98 () (not (_ @t91 @t14 @t12))) % 0.37/0.61 (define @t99 () (forall @t21 (or (not (forall @t18 (or @t98 @t46 @t44))) (not (_ @t8 @t96)) (_ @t8 @t95)))) % 0.37/0.61 (define @t100 () (not @t99)) % 0.37/0.61 (define @t101 () (forall @t24 (or (not (_ @t91 @t2 @t1)) @t93))) % 0.37/0.61 (define @t102 () (not @t101)) % 0.37/0.61 (define @t103 () (not @t94)) % 0.37/0.61 (define @t104 () (forall @t34 (_ @t92 @t91 @t2 @t2))) % 0.37/0.61 (define @t105 () (not @t104)) % 0.37/0.61 (define @t106 () (or @t105 @t103 @t102 @t100 @t97)) % 0.37/0.61 (define @t107 () (@list true)) % 0.37/0.61 (define @t108 () (@list @t106)) % 0.37/0.61 (define @t109 () (_ @t92 @t91 @t96 @t12)) % 0.37/0.61 (define @t110 () (_ @t92 @t91 @t96 @t14)) % 0.37/0.61 (define @t111 () (forall @t18 (or @t98 (not @t110) @t109))) % 0.37/0.61 (define @t112 () (@quantifiers_skolemize @t111 1)) % 0.37/0.61 (define @t113 () (@quantifiers_skolemize @t111 0)) % 0.37/0.61 (define @t114 () (_ (_ @t92 @t91) @t96)) % 0.37/0.61 (define @t115 () (_ @t114 @t95)) % 0.37/0.61 (define @t116 () (_ @t92 @t91 @t96 @t96)) % 0.37/0.61 (define @t117 () (_ @t114 @t96)) % 0.37/0.61 (define @t118 () (not @t117)) % 0.37/0.61 (define @t119 () (not @t111)) % 0.37/0.61 (define @t120 () (or @t119 @t118 @t115)) % 0.37/0.61 (define @t121 () (_ @t114 @t95)) % 0.37/0.61 (define @t122 () (_ @t114 @t96)) % 0.37/0.61 (define @t123 () (not @t122)) % 0.37/0.61 (define @t124 () (_ @t114 @t12)) % 0.37/0.61 (define @t125 () (_ @t114 @t14)) % 0.37/0.61 (define @t126 () (not @t125)) % 0.37/0.61 (define @t127 () (or @t98 @t126 @t124)) % 0.37/0.61 (define @t128 () (_ @t114 @t12)) % 0.37/0.61 (define @t129 () (_ @t114 @t14)) % 0.37/0.61 (define @t130 () (not @t129)) % 0.37/0.61 (define @t131 () (or @t98 @t130 @t128)) % 0.37/0.61 (define @t132 () (forall @t18 @t131)) % 0.37/0.61 (define @t133 () (not @t132)) % 0.37/0.61 (define @t134 () (or @t133 @t123 @t121)) % 0.37/0.61 (define @t135 () (not @t116)) % 0.37/0.61 (define @t136 () (or @t119 @t135 @t97)) % 0.37/0.61 (define @t137 () (_ @t91 @t113 @t112)) % 0.37/0.61 (define @t138 () (_ @t92 @t91 @t96 @t112)) % 0.37/0.61 (define @t139 () (_ @t92 @t91 @t96 @t113)) % 0.37/0.61 (define @t140 () (not @t139)) % 0.37/0.61 (define @t141 () (not @t137)) % 0.37/0.61 (define @t142 () (or @t141 @t140 @t138)) % 0.37/0.61 (define @t143 () (@list @t142)) % 0.37/0.61 (define @t144 () (_ @t92 @t91 @t113 @t112)) % 0.37/0.61 (define @t145 () (or @t141 @t144)) % 0.37/0.61 (define @t146 () (not @t144)) % 0.37/0.61 (define @t147 () (or @t140 @t146 @t138)) % 0.37/0.61 (define @t148 () (not @t147)) % 0.37/0.61 (assume @p1 @t40) % 0.37/0.61 (assume @p2 true) % 0.37/0.61 (step @p3 :rule aci_norm :args ((= @t64 @t62))) % 0.37/0.61 (step @p4 :rule cong :premises (@p3) :args (@t66)) % 0.37/0.61 (step @p5 :rule quant-merge-prenex :args ((= (forall @t38 @t68) @t66))) % 0.37/0.61 (step @p6 :rule alpha_equiv :args (@t69 (@list @t42 @t41) (@list @t2 @t1))) % 0.37/0.61 (step @p7 :rule refl :args (@t54)) % 0.37/0.61 (step @p8 :rule refl :args (@t58)) % 0.37/0.61 (step @p9 :rule refl :args (@t61)) % 0.37/0.61 (step @p10 :rule nary_cong :premises (@p9 @p8 @p7 @p6) :args (@t70)) % 0.37/0.61 (step @p11 :rule quant-miniscope-or :args ((= @t68 @t70))) % 0.37/0.61 (step @p12 :rule trans :premises (@p11 @p10)) % 0.37/0.61 (step @p13 :rule symm :premises (@p12)) % 0.37/0.61 (step @p14 :rule cong :premises (@p13) :args ((forall @t38 @t76))) % 0.37/0.61 (step @p15 :rule trans :premises (@p14 @p5)) % 0.37/0.61 (step @p16 :rule trans :premises (@p15 @p4)) % 0.37/0.61 (step @p17 :rule aci_norm :args ((= (or @t77 @t75) @t76))) % 0.37/0.61 (step @p18 :rule refl :args (@t75)) % 0.37/0.61 (step @p19 :rule aci_norm :args ((= (or @t61 (or @t58 @t54)) @t77))) % 0.37/0.61 (step @p20 :rule bool-and-de-morgan :args (@t57 @t53 true)) % 0.37/0.61 (step @p21 :rule nary_cong :premises (@p9 @p20) :args ((or @t61 (not (and @t57 @t53))))) % 0.37/0.61 (step @p22 :rule bool-and-de-morgan :args (@t60 @t57 (and @t53))) % 0.37/0.61 (step @p23 :rule trans :premises (@p22 @p21)) % 0.37/0.61 (step @p24 :rule trans :premises (@p23 @p19)) % 0.37/0.61 (step @p25 :rule nary_cong :premises (@p24 @p18) :args ((or (not @t78) @t75))) % 0.37/0.61 (step @p26 :rule trans :premises (@p25 @p17)) % 0.37/0.61 (step @p27 :rule bool-impl-elim :args (@t78 @t75)) % 0.37/0.61 (step @p28 :rule trans :premises (@p27 @p26)) % 0.37/0.61 (step @p29 :rule cong :premises (@p28) :args ((forall @t38 (=> @t78 @t75)))) % 0.37/0.61 (step @p30 :rule trans :premises (@p29 @p16)) % 0.37/0.61 (step @p31 :rule refl :args (@t51)) % 0.37/0.61 (step @p32 :rule refl :args (@t7)) % 0.37/0.61 (step @p33 :rule cong :premises (@p32 @p31) :args ((= @t7 @t51))) % 0.37/0.61 (step @p34 :rule symm :premises (@p33)) % 0.37/0.61 (step @p35 :rule eq_resolve :premises (@p32 @p34)) % 0.37/0.61 (step @p36 :rule refl :args (@t74)) % 0.37/0.61 (step @p37 :rule nary_cong :premises (@p36 @p35) :args (@t79)) % 0.37/0.61 (step @p38 :rule cong :premises (@p37) :args ((forall @t24 @t79))) % 0.37/0.61 (step @p39 :rule bool-impl-elim :args (@t73 @t7)) % 0.37/0.61 (step @p40 :rule cong :premises (@p39) :args ((forall @t24 (=> @t73 @t7)))) % 0.37/0.61 (step @p41 :rule trans :premises (@p40 @p38)) % 0.37/0.61 (step @p42 :rule refl :args (@t7)) % 0.37/0.61 (step @p43 :rule refl :args (@t71)) % 0.37/0.61 (step @p44 :rule refl :args (@t9)) % 0.37/0.61 (step @p45 :rule cong :premises (@p44 @p43) :args ((= @t9 @t71))) % 0.37/0.61 (step @p46 :rule symm :premises (@p45)) % 0.37/0.61 (step @p47 :rule eq_resolve :premises (@p44 @p46)) % 0.37/0.61 (step @p48 :rule refl :args (@t72)) % 0.37/0.61 (step @p49 :rule refl :args (@t10)) % 0.37/0.61 (step @p50 :rule cong :premises (@p49 @p48) :args ((= @t10 @t72))) % 0.37/0.61 (step @p51 :rule symm :premises (@p50)) % 0.37/0.61 (step @p52 :rule eq_resolve :premises (@p49 @p51)) % 0.37/0.61 (step @p53 :rule cong :premises (@p52) :args (@t80)) % 0.37/0.61 (step @p54 :rule refl :args (@t49)) % 0.37/0.61 (step @p55 :rule nary_cong :premises (@p54 @p53 @p47) :args (@t81)) % 0.37/0.61 (step @p56 :rule cong :premises (@p55) :args ((forall @t21 @t81))) % 0.37/0.61 (step @p57 :rule aci_norm :args ((= (or @t49 (or @t80 @t9)) @t81))) % 0.37/0.61 (step @p58 :rule bool-impl-elim :args (@t10 @t9)) % 0.37/0.61 (step @p59 :rule nary_cong :premises (@p54 @p58) :args ((or @t49 @t11))) % 0.37/0.61 (step @p60 :rule trans :premises (@p59 @p57)) % 0.37/0.61 (step @p61 :rule bool-impl-elim :args (@t48 @t11)) % 0.37/0.61 (step @p62 :rule trans :premises (@p61 @p60)) % 0.37/0.61 (step @p63 :rule cong :premises (@p62) :args ((forall @t21 (=> @t48 @t11)))) % 0.37/0.61 (step @p64 :rule trans :premises (@p63 @p56)) % 0.37/0.61 (step @p65 :rule refl :args (@t11)) % 0.37/0.61 (step @p66 :rule refl :args (@t44)) % 0.37/0.61 (step @p67 :rule refl :args (@t13)) % 0.37/0.61 (step @p68 :rule cong :premises (@p67 @p66) :args ((= @t13 @t44))) % 0.37/0.61 (step @p69 :rule symm :premises (@p68)) % 0.37/0.61 (step @p70 :rule eq_resolve :premises (@p67 @p69)) % 0.37/0.61 (step @p71 :rule refl :args (@t45)) % 0.37/0.61 (step @p72 :rule refl :args (@t15)) % 0.37/0.61 (step @p73 :rule cong :premises (@p72 @p71) :args ((= @t15 @t45))) % 0.37/0.61 (step @p74 :rule symm :premises (@p73)) % 0.37/0.61 (step @p75 :rule eq_resolve :premises (@p72 @p74)) % 0.37/0.61 (step @p76 :rule cong :premises (@p75) :args (@t82)) % 0.37/0.61 (step @p77 :rule refl :args (@t47)) % 0.37/0.61 (step @p78 :rule refl :args (@t16)) % 0.37/0.61 (step @p79 :rule cong :premises (@p78 @p77) :args ((= @t16 @t47))) % 0.37/0.61 (step @p80 :rule symm :premises (@p79)) % 0.37/0.61 (step @p81 :rule eq_resolve :premises (@p78 @p80)) % 0.37/0.61 (step @p82 :rule cong :premises (@p81) :args (@t83)) % 0.37/0.61 (step @p83 :rule nary_cong :premises (@p82 @p76 @p70) :args (@t84)) % 0.37/0.61 (step @p84 :rule cong :premises (@p83) :args ((forall @t18 @t84))) % 0.37/0.61 (step @p85 :rule aci_norm :args ((= (or (or @t83 @t82) @t13) @t84))) % 0.37/0.61 (step @p86 :rule bool-and-de-morgan :args (@t16 @t15 true)) % 0.37/0.61 (step @p87 :rule nary_cong :premises (@p86 @p67) :args ((or (not @t17) @t13))) % 0.37/0.61 (step @p88 :rule trans :premises (@p87 @p85)) % 0.37/0.61 (step @p89 :rule bool-impl-elim :args (@t17 @t13)) % 0.37/0.61 (step @p90 :rule trans :premises (@p89 @p88)) % 0.37/0.61 (step @p91 :rule cong :premises (@p90) :args (@t19)) % 0.37/0.61 (step @p92 :rule trans :premises (@p91 @p84)) % 0.37/0.61 (step @p93 :rule cong :premises (@p92 @p65) :args (@t20)) % 0.37/0.61 (step @p94 :rule cong :premises (@p93) :args (@t22)) % 0.37/0.61 (step @p95 :rule trans :premises (@p94 @p64)) % 0.37/0.61 (step @p96 :rule cong :premises (@p95 @p42) :args (@t23)) % 0.37/0.61 (step @p97 :rule cong :premises (@p96) :args (@t25)) % 0.37/0.61 (step @p98 :rule trans :premises (@p97 @p41)) % 0.37/0.61 (step @p99 :rule refl :args (@t52)) % 0.37/0.61 (step @p100 :rule refl :args (@t26)) % 0.37/0.61 (step @p101 :rule cong :premises (@p100 @p99) :args ((= @t26 @t52))) % 0.37/0.61 (step @p102 :rule symm :premises (@p101)) % 0.37/0.61 (step @p103 :rule eq_resolve :premises (@p100 @p102)) % 0.37/0.61 (step @p104 :rule cong :premises (@p103) :args (@t85)) % 0.37/0.61 (step @p105 :rule nary_cong :premises (@p104 @p35) :args (@t86)) % 0.37/0.61 (step @p106 :rule cong :premises (@p105) :args ((forall @t24 @t86))) % 0.37/0.61 (step @p107 :rule bool-impl-elim :args (@t26 @t7)) % 0.37/0.61 (step @p108 :rule cong :premises (@p107) :args (@t27)) % 0.37/0.61 (step @p109 :rule trans :premises (@p108 @p106)) % 0.37/0.61 (step @p110 :rule refl :args (@t55)) % 0.37/0.61 (step @p111 :rule refl :args (@t28)) % 0.37/0.61 (step @p112 :rule cong :premises (@p111 @p110) :args ((= @t28 @t55))) % 0.37/0.61 (step @p113 :rule symm :premises (@p112)) % 0.37/0.61 (step @p114 :rule eq_resolve :premises (@p111 @p113)) % 0.37/0.61 (step @p115 :rule refl :args (@t56)) % 0.37/0.61 (step @p116 :rule refl :args (@t29)) % 0.37/0.61 (step @p117 :rule cong :premises (@p116 @p115) :args ((= @t29 @t56))) % 0.37/0.61 (step @p118 :rule symm :premises (@p117)) % 0.37/0.61 (step @p119 :rule eq_resolve :premises (@p116 @p118)) % 0.37/0.61 (step @p120 :rule cong :premises (@p119) :args (@t87)) % 0.37/0.61 (step @p121 :rule cong :premises (@p35) :args (@t88)) % 0.37/0.61 (step @p122 :rule nary_cong :premises (@p121 @p120 @p114) :args (@t89)) % 0.37/0.61 (step @p123 :rule cong :premises (@p122) :args ((forall @t31 @t89))) % 0.37/0.61 (step @p124 :rule aci_norm :args ((= (or (or @t88 @t87) @t28) @t89))) % 0.37/0.61 (step @p125 :rule bool-and-de-morgan :args (@t7 @t29 true)) % 0.37/0.61 (step @p126 :rule nary_cong :premises (@p125 @p111) :args ((or (not @t30) @t28))) % 0.37/0.61 (step @p127 :rule trans :premises (@p126 @p124)) % 0.37/0.61 (step @p128 :rule bool-impl-elim :args (@t30 @t28)) % 0.37/0.61 (step @p129 :rule trans :premises (@p128 @p127)) % 0.37/0.61 (step @p130 :rule cong :premises (@p129) :args (@t32)) % 0.37/0.61 (step @p131 :rule trans :premises (@p130 @p123)) % 0.37/0.61 (step @p132 :rule refl :args (@t59)) % 0.37/0.61 (step @p133 :rule refl :args (@t33)) % 0.37/0.61 (step @p134 :rule cong :premises (@p133 @p132) :args ((= @t33 @t59))) % 0.37/0.61 (step @p135 :rule symm :premises (@p134)) % 0.37/0.61 (step @p136 :rule eq_resolve :premises (@p133 @p135)) % 0.37/0.61 (step @p137 :rule cong :premises (@p136) :args (@t35)) % 0.37/0.61 (step @p138 :rule nary_cong :premises (@p137 @p131 @p109) :args (@t36)) % 0.37/0.61 (step @p139 :rule cong :premises (@p138 @p98) :args (@t37)) % 0.37/0.61 (step @p140 :rule cong :premises (@p139) :args (@t39)) % 0.37/0.61 (step @p141 :rule trans :premises (@p140 @p30)) % 0.37/0.61 (step @p142 :rule cong :premises (@p141) :args (@t40)) % 0.37/0.61 (step @p143 :rule eq_resolve :premises (@p1 @p142)) % 0.37/0.61 (step @p144 :rule skolemize :premises (@p143)) % 0.37/0.61 (step @p145 :rule bool-double-not-elim :args (@t94)) % 0.37/0.61 (step @p146 :rule refl :args (@t106)) % 0.37/0.61 (step @p147 :rule nary_cong :premises (@p146 @p145) :args ((or @t106 (not @t103)))) % 0.37/0.61 (step @p148 :rule cnf_or_neg :args (@t106 1)) % 0.37/0.61 (step @p149 :rule eq_resolve :premises (@p148 @p147)) % 0.37/0.61 (step @p150 :rule reordering :premises (@p149) :args ((or @t94 @t106))) % 0.37/0.61 (step @p151 :rule chain_m_resolution :premises (@p150 @p144) :args (@t94 @t107 @t108)) % 0.37/0.61 (step @p152 :rule bool-double-not-elim :args (@t101)) % 0.37/0.61 (step @p153 :rule nary_cong :premises (@p146 @p152) :args ((or @t106 (not @t102)))) % 0.37/0.61 (step @p154 :rule cnf_or_neg :args (@t106 2)) % 0.37/0.61 (step @p155 :rule eq_resolve :premises (@p154 @p153)) % 0.37/0.61 (step @p156 :rule reordering :premises (@p155) :args ((or @t101 @t106))) % 0.37/0.61 (step @p157 :rule chain_m_resolution :premises (@p156 @p144) :args (@t101 @t107 @t108)) % 0.37/0.61 (step @p158 :rule instantiate :premises (@p157) :args ((@list @t113 @t112))) % 0.37/0.61 (step @p159 :rule bool-double-not-elim :args (@t99)) % 0.37/0.61 (step @p160 :rule nary_cong :premises (@p146 @p159) :args ((or @t106 (not @t100)))) % 0.37/0.61 (step @p161 :rule cnf_or_neg :args (@t106 3)) % 0.37/0.61 (step @p162 :rule eq_resolve :premises (@p161 @p160)) % 0.37/0.61 (step @p163 :rule reordering :premises (@p162) :args ((or @t99 @t106))) % 0.37/0.61 (step @p164 :rule chain_m_resolution :premises (@p163 @p144) :args (@t99 @t107 @t108)) % 0.37/0.61 (step @p165 :rule refl :args (@t97)) % 0.37/0.61 (step @p166 :rule refl :args (@t115)) % 0.37/0.61 (step @p167 :rule cong :premises (@p166 @p165) :args ((= @t115 @t97))) % 0.37/0.61 (step @p168 :rule symm :premises (@p167)) % 0.37/0.61 (step @p169 :rule eq_resolve :premises (@p166 @p168)) % 0.37/0.61 (step @p170 :rule refl :args (@t116)) % 0.37/0.61 (step @p171 :rule refl :args (@t117)) % 0.37/0.61 (step @p172 :rule cong :premises (@p171 @p170) :args ((= @t117 @t116))) % 0.37/0.61 (step @p173 :rule symm :premises (@p172)) % 0.37/0.61 (step @p174 :rule eq_resolve :premises (@p171 @p173)) % 0.37/0.61 (step @p175 :rule cong :premises (@p174) :args (@t118)) % 0.37/0.61 (step @p176 :rule refl :args (@t119)) % 0.37/0.61 (step @p177 :rule nary_cong :premises (@p176 @p175 @p169) :args (@t120)) % 0.37/0.61 (step @p178 :rule refl :args (@t99)) % 0.37/0.61 (step @p179 :rule cong :premises (@p178 @p177) :args ((=> @t99 @t120))) % 0.37/0.61 (step @p180 :rule refl :args (@t121)) % 0.37/0.61 (step @p181 :rule refl :args (@t122)) % 0.37/0.61 (step @p182 :rule cong :premises (@p181) :args (@t123)) % 0.37/0.61 (step @p183 :rule refl :args (@t109)) % 0.37/0.61 (step @p184 :rule refl :args (@t124)) % 0.37/0.61 (step @p185 :rule cong :premises (@p184 @p183) :args ((= @t124 @t109))) % 0.37/0.61 (step @p186 :rule symm :premises (@p185)) % 0.37/0.61 (step @p187 :rule eq_resolve :premises (@p184 @p186)) % 0.37/0.61 (step @p188 :rule refl :args (@t110)) % 0.37/0.61 (step @p189 :rule refl :args (@t125)) % 0.37/0.61 (step @p190 :rule cong :premises (@p189 @p188) :args ((= @t125 @t110))) % 0.37/0.61 (step @p191 :rule symm :premises (@p190)) % 0.37/0.61 (step @p192 :rule eq_resolve :premises (@p189 @p191)) % 0.37/0.61 (step @p193 :rule cong :premises (@p192) :args (@t126)) % 0.37/0.61 (step @p194 :rule refl :args (@t98)) % 0.37/0.61 (step @p195 :rule nary_cong :premises (@p194 @p193 @p187) :args (@t127)) % 0.37/0.61 (step @p196 :rule cong :premises (@p195) :args ((forall @t18 @t127))) % 0.37/0.61 (step @p197 :rule refl :args (@t128)) % 0.37/0.61 (step @p198 :rule refl :args (@t129)) % 0.37/0.61 (step @p199 :rule cong :premises (@p198) :args (@t130)) % 0.37/0.61 (step @p200 :rule refl :args (@t98)) % 0.37/0.61 (step @p201 :rule nary_cong :premises (@p200 @p199 @p197) :args (@t131)) % 0.37/0.61 (step @p202 :rule cong :premises (@p201) :args (@t132)) % 0.37/0.61 (step @p203 :rule trans :premises (@p202 @p196)) % 0.37/0.61 (step @p204 :rule cong :premises (@p203) :args (@t133)) % 0.37/0.61 (step @p205 :rule nary_cong :premises (@p204 @p182 @p180) :args (@t134)) % 0.37/0.61 (step @p206 :rule cong :premises (@p178 @p205) :args ((=> @t99 @t134))) % 0.37/0.61 (assume-push @p255 @t99) % 0.37/0.61 (step @p208 :rule instantiate :premises (@p164) :args ((@list @t114))) % 0.37/0.61 (step-pop @p256 :rule scope :premises (@p208)) % 0.37/0.61 (step @p209 :rule process_scope :premises (@p256) :args (@t134)) % 0.37/0.61 (step @p211 :rule eq_resolve :premises (@p209 @p206)) % 0.37/0.61 (step @p212 :rule eq_resolve :premises (@p211 @p179)) % 0.37/0.61 (step @p213 :rule implies_elim :premises (@p212)) % 0.37/0.61 (step @p214 :rule chain_m_resolution :premises (@p213 @p164) :args (@t136 (@list false) (@list @t99))) % 0.37/0.61 (step @p215 :rule bool-double-not-elim :args (@t104)) % 0.37/0.61 (step @p216 :rule nary_cong :premises (@p146 @p215) :args ((or @t106 (not @t105)))) % 0.37/0.61 (step @p217 :rule cnf_or_neg :args (@t106 0)) % 0.37/0.61 (step @p218 :rule eq_resolve :premises (@p217 @p216)) % 0.37/0.61 (step @p219 :rule reordering :premises (@p218) :args ((or @t104 @t106))) % 0.37/0.61 (step @p220 :rule chain_m_resolution :premises (@p219 @p144) :args (@t104 @t107 @t108)) % 0.37/0.61 (step @p221 :rule instantiate :premises (@p220) :args ((@list @t96))) % 0.37/0.61 (step @p222 :rule cnf_or_neg :args (@t106 4)) % 0.37/0.61 (step @p223 :rule chain_m_resolution :premises (@p222 @p144) :args ((not @t97) @t107 @t108)) % 0.37/0.61 (step @p224 :rule cnf_or_pos :args (@t136)) % 0.37/0.61 (step @p225 :rule reordering :premises (@p224) :args ((or @t97 @t119 @t135 (not @t136)))) % 0.37/0.61 (step @p226 :rule chain_m_resolution :premises (@p225 @p223 @p221 @p214) :args (@t119 (@list true false false) (@list @t97 @t116 @t136))) % 0.37/0.61 (step @p227 :rule skolemize :premises (@p226)) % 0.37/0.61 (step @p228 :rule bool-double-not-elim :args (@t137)) % 0.37/0.61 (step @p229 :rule refl :args (@t142)) % 0.37/0.61 (step @p230 :rule nary_cong :premises (@p229 @p228) :args ((or @t142 (not @t141)))) % 0.37/0.61 (step @p231 :rule cnf_or_neg :args (@t142 0)) % 0.37/0.61 (step @p232 :rule eq_resolve :premises (@p231 @p230)) % 0.37/0.61 (step @p233 :rule reordering :premises (@p232) :args ((or @t137 @t142))) % 0.37/0.61 (step @p234 :rule chain_m_resolution :premises (@p233 @p227) :args (@t137 @t107 @t143)) % 0.37/0.61 (step @p235 :rule cnf_or_pos :args (@t145)) % 0.37/0.61 (step @p236 :rule reordering :premises (@p235) :args ((or @t141 @t144 (not @t145)))) % 0.37/0.61 (step @p237 :rule chain_m_resolution :premises (@p236 @p234 @p158) :args (@t144 (@list false false) (@list @t137 @t145))) % 0.37/0.61 (step @p238 :rule cnf_or_neg :args (@t142 2)) % 0.37/0.61 (step @p239 :rule chain_m_resolution :premises (@p238 @p227) :args ((not @t138) @t107 @t143)) % 0.37/0.61 (step @p240 :rule bool-double-not-elim :args (@t139)) % 0.37/0.61 (step @p241 :rule nary_cong :premises (@p229 @p240) :args ((or @t142 (not @t140)))) % 0.37/0.61 (step @p242 :rule cnf_or_neg :args (@t142 1)) % 0.37/0.61 (step @p243 :rule eq_resolve :premises (@p242 @p241)) % 0.37/0.61 (step @p244 :rule reordering :premises (@p243) :args ((or @t139 @t142))) % 0.37/0.61 (step @p245 :rule chain_m_resolution :premises (@p244 @p227) :args (@t139 @t107 @t143)) % 0.37/0.61 (step @p246 :rule cnf_or_pos :args (@t147)) % 0.37/0.61 (step @p247 :rule reordering :premises (@p246) :args ((or @t140 @t138 @t146 @t148))) % 0.37/0.61 (step @p248 :rule chain_m_resolution :premises (@p247 @p245 @p239 @p237) :args (@t148 (@list false true false) (@list @t139 @t138 @t144))) % 0.37/0.61 (assume-push @p257 @t94) % 0.37/0.61 (step @p250 :rule instantiate :premises (@p151) :args ((@list @t96 @t113 @t112))) % 0.37/0.61 (step-pop @p258 :rule scope :premises (@p250)) % 0.37/0.61 (step @p251 :rule process_scope :premises (@p258) :args (@t147)) % 0.37/0.61 (step @p253 :rule implies_elim :premises (@p251)) % 0.37/0.61 (step @p254 false :rule chain_m_resolution :premises (@p253 @p248 @p151) :args (false (@list true false) (@list @t147 @t94))) % 0.37/0.61 ) % 0.37/0.61 % SZS output end Proof % 0.37/0.61 % cvc5 exiting %------------------------------------------------------------------------------