%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEV195^5 : 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 : n025.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 08:55:35 AM UTC 2026 % Result : Theorem 0.71s 0.90s % Output : Proof 0.71s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEV195^5 : TPTP v9.2.1. Released v4.0.0. % 0.11/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n025.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 : Tue Jun 2 18:18:16 EDT 2026 % 0.16/0.34 % CPUTime : % 0.28/0.49 %----Proving TH0 % 0.71/0.90 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.71/0.90 % SZS status Theorem % 0.71/0.90 % SZS output start Proof % 0.71/0.90 ( % 0.71/0.90 (declare-sort tptp.a 0) % 0.71/0.90 (declare-const tptp.cZ tptp.a) % 0.71/0.90 (declare-const tptp.cP (-> tptp.a tptp.a tptp.a)) % 0.71/0.90 (define @t1 () (@var "Xz" tptp.a)) % 0.71/0.90 (define @t2 () (@var "Xy" tptp.a)) % 0.71/0.90 (define @t3 () (_ tptp.cP @t2)) % 0.71/0.90 (define @t4 () (_ @t3 @t1)) % 0.71/0.90 (define @t5 () (@var "Xx" tptp.a)) % 0.71/0.90 (define @t6 () (= @t5 @t4)) % 0.71/0.90 (define @t7 () (@list @t2 @t1)) % 0.71/0.90 (define @t8 () (exists @t7 @t6)) % 0.71/0.90 (define @t9 () (or (= @t5 tptp.cZ) @t8)) % 0.71/0.90 (define @t10 () (@list @t5)) % 0.71/0.90 (define @t11 () (forall @t10 @t9)) % 0.71/0.90 (define @t12 () (@var "X" (-> tptp.a Bool))) % 0.71/0.90 (define @t13 () (_ @t12 @t5)) % 0.71/0.90 (define @t14 () (forall @t10 @t13)) % 0.71/0.90 (define @t15 () (_ tptp.cP @t5)) % 0.71/0.90 (define @t16 () (_ @t15 @t2)) % 0.71/0.90 (define @t17 () (_ @t12 @t16)) % 0.71/0.90 (define @t18 () (_ @t12 @t2)) % 0.71/0.90 (define @t19 () (and @t13 @t18)) % 0.71/0.90 (define @t20 () (@list @t5 @t2)) % 0.71/0.90 (define @t21 () (forall @t20 (=> @t19 @t17))) % 0.71/0.90 (define @t22 () (_ @t12 tptp.cZ)) % 0.71/0.90 (define @t23 () (and @t22 @t21)) % 0.71/0.90 (define @t24 () (=> @t23 @t14)) % 0.71/0.90 (define @t25 () (@list @t12)) % 0.71/0.90 (define @t26 () (forall @t25 @t24)) % 0.71/0.90 (define @t27 () (@var "Xv" tptp.a)) % 0.71/0.90 (define @t28 () (@var "Xu" tptp.a)) % 0.71/0.90 (define @t29 () (and (= @t5 @t2) (= @t28 @t27))) % 0.71/0.90 (define @t30 () (_ @t3 @t27)) % 0.71/0.90 (define @t31 () (_ @t15 @t28)) % 0.71/0.90 (define @t32 () (= @t31 @t30)) % 0.71/0.90 (define @t33 () (@list @t5 @t2 @t28 @t27)) % 0.71/0.90 (define @t34 () (forall @t33 (=> @t32 @t29))) % 0.71/0.90 (define @t35 () (not (= @t16 tptp.cZ))) % 0.71/0.90 (define @t36 () (forall @t20 @t35)) % 0.71/0.90 (define @t37 () (and @t36 @t34 @t26)) % 0.71/0.90 (define @t38 () (=> @t37 @t11)) % 0.71/0.90 (define @t39 () (not @t38)) % 0.71/0.90 (define @t40 () (tptp.cP @t2 @t1)) % 0.71/0.90 (define @t41 () (not @t6)) % 0.71/0.90 (define @t42 () (forall @t7 @t41)) % 0.71/0.90 (define @t43 () (not @t42)) % 0.71/0.90 (define @t44 () (@var "BOUND_VARIABLE_7501" tptp.a)) % 0.71/0.90 (define @t45 () (_ @t12 @t44)) % 0.71/0.90 (define @t46 () (tptp.cP @t5 @t2)) % 0.71/0.90 (define @t47 () (_ @t12 @t46)) % 0.71/0.90 (define @t48 () (_ @t12 @t2)) % 0.71/0.90 (define @t49 () (_ @t12 @t5)) % 0.71/0.90 (define @t50 () (forall @t20 (or (not @t49) (not @t48) @t47))) % 0.71/0.90 (define @t51 () (not @t50)) % 0.71/0.90 (define @t52 () (_ @t12 tptp.cZ)) % 0.71/0.90 (define @t53 () (not @t52)) % 0.71/0.90 (define @t54 () (or @t53 @t51 @t45)) % 0.71/0.90 (define @t55 () (forall (@list @t12 @t44) @t54)) % 0.71/0.90 (define @t56 () (@list @t44)) % 0.71/0.90 (define @t57 () (forall @t56 @t54)) % 0.71/0.90 (define @t58 () (forall @t56 @t45)) % 0.71/0.90 (define @t59 () (or @t53 @t51 @t58)) % 0.71/0.90 (define @t60 () (forall @t10 @t49)) % 0.71/0.90 (define @t61 () (not @t22)) % 0.71/0.90 (define @t62 () (or @t61 @t51 @t60)) % 0.71/0.90 (define @t63 () (and @t22 @t50)) % 0.71/0.90 (define @t64 () (not @t18)) % 0.71/0.90 (define @t65 () (not @t13)) % 0.71/0.90 (define @t66 () (or @t65 @t64 @t17)) % 0.71/0.90 (define @t67 () (tptp.cP @t2 @t27)) % 0.71/0.90 (define @t68 () (tptp.cP @t5 @t28)) % 0.71/0.90 (define @t69 () (not @t32)) % 0.71/0.90 (define @t70 () (or @t69 @t29)) % 0.71/0.90 (define @t71 () (= tptp.cZ @t16)) % 0.71/0.90 (define @t72 () (not @t71)) % 0.71/0.90 (define @t73 () (forall @t10 (or (= tptp.cZ @t5) (not (forall @t7 (not (= @t5 @t40))))))) % 0.71/0.90 (define @t74 () (@quantifiers_skolemize @t73 0)) % 0.71/0.90 (define @t75 () (forall @t7 (not (= @t40 @t74)))) % 0.71/0.90 (define @t76 () (not @t75)) % 0.71/0.90 (define @t77 () (= tptp.cZ @t74)) % 0.71/0.90 (define @t78 () (or @t77 @t76)) % 0.71/0.90 (define @t79 () (not @t78)) % 0.71/0.90 (define @t80 () (not @t73)) % 0.71/0.90 (define @t81 () (not (= @t74 @t40))) % 0.71/0.90 (define @t82 () (forall @t7 @t81)) % 0.71/0.90 (define @t83 () (not @t82)) % 0.71/0.90 (define @t84 () (or @t77 @t83)) % 0.71/0.90 (define @t85 () (not @t84)) % 0.71/0.90 (define @t86 () (@list true)) % 0.71/0.90 (define @t87 () (@list @t78)) % 0.71/0.90 (define @t88 () (= @t2 @t74)) % 0.71/0.90 (define @t89 () (= @t5 @t74)) % 0.71/0.90 (define @t90 () (forall @t20 (or @t89 @t88 (not (= @t46 @t74))))) % 0.71/0.90 (define @t91 () (not @t90)) % 0.71/0.90 (define @t92 () (or @t77 @t91)) % 0.71/0.90 (define @t93 () (not (= @t74 @t74))) % 0.71/0.90 (define @t94 () (@var "BOUND_VARIABLE_28833" tptp.a)) % 0.71/0.90 (define @t95 () (lambda (@list @t94) (not (= @t74 @t94)))) % 0.71/0.90 (define @t96 () (_ @t95 @t74)) % 0.71/0.90 (define @t97 () (not (= @t74 @t46))) % 0.71/0.90 (define @t98 () (_ @t95 @t46)) % 0.71/0.90 (define @t99 () (not (= @t74 @t2))) % 0.71/0.90 (define @t100 () (_ @t95 @t2)) % 0.71/0.90 (define @t101 () (not @t100)) % 0.71/0.90 (define @t102 () (not (= @t74 @t5))) % 0.71/0.90 (define @t103 () (_ @t95 @t5)) % 0.71/0.90 (define @t104 () (not @t103)) % 0.71/0.90 (define @t105 () (or @t104 @t101 @t98)) % 0.71/0.90 (define @t106 () (forall @t20 @t105)) % 0.71/0.90 (define @t107 () (not @t106)) % 0.71/0.90 (define @t108 () (not (= @t74 tptp.cZ))) % 0.71/0.90 (define @t109 () (_ @t95 tptp.cZ)) % 0.71/0.90 (define @t110 () (not @t109)) % 0.71/0.90 (define @t111 () (or @t110 @t107 @t96)) % 0.71/0.90 (define @t112 () (@quantifiers_skolemize @t90 1)) % 0.71/0.90 (define @t113 () (@quantifiers_skolemize @t90 0)) % 0.71/0.90 (define @t114 () (tptp.cP @t113 @t112)) % 0.71/0.90 (define @t115 () (= @t74 @t114)) % 0.71/0.90 (define @t116 () (not @t115)) % 0.71/0.90 (define @t117 () (or (= @t74 @t113) (= @t74 @t112) @t116)) % 0.71/0.90 (define @t118 () (not @t117)) % 0.71/0.90 (define @t119 () (not (= @t114 @t74))) % 0.71/0.90 (define @t120 () (or (= @t113 @t74) (= @t112 @t74) @t119)) % 0.71/0.90 (define @t121 () (not @t120)) % 0.71/0.90 (assume @p1 @t39) % 0.71/0.90 (assume @p2 true) % 0.71/0.90 (step @p3 :rule refl :args (@t40)) % 0.71/0.90 (step @p4 :rule refl :args (@t4)) % 0.71/0.90 (step @p5 :rule cong :premises (@p4 @p3) :args ((= @t4 @t40))) % 0.71/0.90 (step @p6 :rule symm :premises (@p5)) % 0.71/0.90 (step @p7 :rule eq_resolve :premises (@p4 @p6)) % 0.71/0.90 (step @p8 :rule refl :args (@t5)) % 0.71/0.90 (step @p9 :rule cong :premises (@p8 @p7) :args (@t6)) % 0.71/0.90 (step @p10 :rule cong :premises (@p9) :args (@t41)) % 0.71/0.90 (step @p11 :rule cong :premises (@p10) :args (@t42)) % 0.71/0.90 (step @p12 :rule cong :premises (@p11) :args (@t43)) % 0.71/0.90 (step @p13 :rule exists-elim :args ((= @t8 @t43))) % 0.71/0.90 (step @p14 :rule trans :premises (@p13 @p12)) % 0.71/0.90 (step @p15 :rule eq-symm :args (@t5 tptp.cZ)) % 0.71/0.90 (step @p16 :rule nary_cong :premises (@p15 @p14) :args (@t9)) % 0.71/0.90 (step @p17 :rule cong :premises (@p16) :args (@t11)) % 0.71/0.90 (step @p18 :rule quant-merge-prenex :args ((= (forall @t25 @t57) @t55))) % 0.71/0.90 (step @p19 :rule alpha_equiv :args (@t58 (@list @t44) (@list @t5))) % 0.71/0.90 (step @p20 :rule refl :args (@t51)) % 0.71/0.90 (step @p21 :rule refl :args (@t53)) % 0.71/0.90 (step @p22 :rule nary_cong :premises (@p21 @p20 @p19) :args (@t59)) % 0.71/0.90 (step @p23 :rule quant-miniscope-or :args ((= @t57 @t59))) % 0.71/0.90 (step @p24 :rule trans :premises (@p23 @p22)) % 0.71/0.90 (step @p25 :rule symm :premises (@p24)) % 0.71/0.90 (step @p26 :rule cong :premises (@p25) :args ((forall @t25 (or @t53 @t51 @t60)))) % 0.71/0.90 (step @p27 :rule trans :premises (@p26 @p18)) % 0.71/0.90 (step @p28 :rule refl :args (@t60)) % 0.71/0.90 (step @p29 :rule refl :args (@t52)) % 0.71/0.90 (step @p30 :rule refl :args (@t22)) % 0.71/0.90 (step @p31 :rule cong :premises (@p30 @p29) :args ((= @t22 @t52))) % 0.71/0.90 (step @p32 :rule symm :premises (@p31)) % 0.71/0.90 (step @p33 :rule eq_resolve :premises (@p30 @p32)) % 0.71/0.90 (step @p34 :rule cong :premises (@p33) :args (@t61)) % 0.71/0.90 (step @p35 :rule nary_cong :premises (@p34 @p20 @p28) :args (@t62)) % 0.71/0.90 (step @p36 :rule cong :premises (@p35) :args ((forall @t25 @t62))) % 0.71/0.90 (step @p37 :rule trans :premises (@p36 @p27)) % 0.71/0.90 (step @p38 :rule aci_norm :args ((= (or (or @t61 @t51) @t60) @t62))) % 0.71/0.90 (step @p39 :rule bool-and-de-morgan :args (@t22 @t50 true)) % 0.71/0.90 (step @p40 :rule nary_cong :premises (@p39 @p28) :args ((or (not @t63) @t60))) % 0.71/0.90 (step @p41 :rule trans :premises (@p40 @p38)) % 0.71/0.90 (step @p42 :rule bool-impl-elim :args (@t63 @t60)) % 0.71/0.90 (step @p43 :rule trans :premises (@p42 @p41)) % 0.71/0.90 (step @p44 :rule cong :premises (@p43) :args ((forall @t25 (=> @t63 @t60)))) % 0.71/0.90 (step @p45 :rule trans :premises (@p44 @p37)) % 0.71/0.90 (step @p46 :rule refl :args (@t49)) % 0.71/0.90 (step @p47 :rule refl :args (@t13)) % 0.71/0.90 (step @p48 :rule cong :premises (@p47 @p46) :args ((= @t13 @t49))) % 0.71/0.90 (step @p49 :rule symm :premises (@p48)) % 0.71/0.90 (step @p50 :rule eq_resolve :premises (@p47 @p49)) % 0.71/0.90 (step @p51 :rule cong :premises (@p50) :args (@t14)) % 0.71/0.90 (step @p52 :rule refl :args ((_ @t12 @t16))) % 0.71/0.90 (step @p53 :rule refl :args (@t46)) % 0.71/0.90 (step @p54 :rule cong :premises (@p53) :args (@t47)) % 0.71/0.90 (step @p55 :rule trans :premises (@p54 @p52)) % 0.71/0.90 (step @p56 :rule refl :args (@t12)) % 0.71/0.90 (step @p57 :rule ho_cong :premises (@p56 @p53)) % 0.71/0.90 (step @p58 :rule cong :premises (@p57 @p55) :args ((= (_ @t12 @t46) @t47))) % 0.71/0.90 (step @p59 :rule symm :premises (@p58)) % 0.71/0.90 (step @p60 :rule refl :args (@t17)) % 0.71/0.90 (step @p61 :rule eq_resolve :premises (@p60 @p59)) % 0.71/0.90 (step @p62 :rule refl :args (@t16)) % 0.71/0.90 (step @p63 :rule cong :premises (@p62 @p53) :args ((= @t16 @t46))) % 0.71/0.90 (step @p64 :rule symm :premises (@p63)) % 0.71/0.90 (step @p65 :rule eq_resolve :premises (@p62 @p64)) % 0.71/0.90 (step @p66 :rule ho_cong :premises (@p56 @p65)) % 0.71/0.90 (step @p67 :rule trans :premises (@p66 @p61)) % 0.71/0.90 (step @p68 :rule refl :args (@t48)) % 0.71/0.90 (step @p69 :rule refl :args (@t18)) % 0.71/0.90 (step @p70 :rule cong :premises (@p69 @p68) :args ((= @t18 @t48))) % 0.71/0.90 (step @p71 :rule symm :premises (@p70)) % 0.71/0.90 (step @p72 :rule eq_resolve :premises (@p69 @p71)) % 0.71/0.90 (step @p73 :rule cong :premises (@p72) :args (@t64)) % 0.71/0.90 (step @p74 :rule cong :premises (@p50) :args (@t65)) % 0.71/0.90 (step @p75 :rule nary_cong :premises (@p74 @p73 @p67) :args (@t66)) % 0.71/0.90 (step @p76 :rule cong :premises (@p75) :args ((forall @t20 @t66))) % 0.71/0.90 (step @p77 :rule aci_norm :args ((= (or (or @t65 @t64) @t17) @t66))) % 0.71/0.90 (step @p78 :rule bool-and-de-morgan :args (@t13 @t18 true)) % 0.71/0.90 (step @p79 :rule nary_cong :premises (@p78 @p60) :args ((or (not @t19) @t17))) % 0.71/0.90 (step @p80 :rule trans :premises (@p79 @p77)) % 0.71/0.90 (step @p81 :rule bool-impl-elim :args (@t19 @t17)) % 0.71/0.90 (step @p82 :rule trans :premises (@p81 @p80)) % 0.71/0.90 (step @p83 :rule cong :premises (@p82) :args (@t21)) % 0.71/0.90 (step @p84 :rule trans :premises (@p83 @p76)) % 0.71/0.90 (step @p85 :rule refl :args (@t22)) % 0.71/0.90 (step @p86 :rule nary_cong :premises (@p85 @p84) :args (@t23)) % 0.71/0.90 (step @p87 :rule cong :premises (@p86 @p51) :args (@t24)) % 0.71/0.90 (step @p88 :rule cong :premises (@p87) :args (@t26)) % 0.71/0.90 (step @p89 :rule trans :premises (@p88 @p45)) % 0.71/0.90 (step @p90 :rule refl :args (@t29)) % 0.71/0.90 (step @p91 :rule refl :args (@t67)) % 0.71/0.90 (step @p92 :rule refl :args (@t30)) % 0.71/0.90 (step @p93 :rule cong :premises (@p92 @p91) :args ((= @t30 @t67))) % 0.71/0.90 (step @p94 :rule symm :premises (@p93)) % 0.71/0.90 (step @p95 :rule eq_resolve :premises (@p92 @p94)) % 0.71/0.90 (step @p96 :rule refl :args (@t68)) % 0.71/0.90 (step @p97 :rule refl :args (@t31)) % 0.71/0.90 (step @p98 :rule cong :premises (@p97 @p96) :args ((= @t31 @t68))) % 0.71/0.90 (step @p99 :rule symm :premises (@p98)) % 0.71/0.90 (step @p100 :rule eq_resolve :premises (@p97 @p99)) % 0.71/0.90 (step @p101 :rule cong :premises (@p100 @p95) :args (@t32)) % 0.71/0.90 (step @p102 :rule cong :premises (@p101) :args (@t69)) % 0.71/0.90 (step @p103 :rule nary_cong :premises (@p102 @p90) :args (@t70)) % 0.71/0.90 (step @p104 :rule cong :premises (@p103) :args ((forall @t33 @t70))) % 0.71/0.90 (step @p105 :rule bool-impl-elim :args (@t32 @t29)) % 0.71/0.90 (step @p106 :rule cong :premises (@p105) :args (@t34)) % 0.71/0.90 (step @p107 :rule trans :premises (@p106 @p104)) % 0.71/0.90 (step @p108 :rule refl :args (tptp.cZ)) % 0.71/0.90 (step @p109 :rule cong :premises (@p108 @p65) :args (@t71)) % 0.71/0.90 (step @p110 :rule cong :premises (@p109) :args (@t72)) % 0.71/0.90 (step @p111 :rule cong :premises (@p110) :args ((forall @t20 @t72))) % 0.71/0.90 (step @p112 :rule eq-symm :args (@t16 tptp.cZ)) % 0.71/0.90 (step @p113 :rule cong :premises (@p112) :args (@t35)) % 0.71/0.90 (step @p114 :rule cong :premises (@p113) :args (@t36)) % 0.71/0.90 (step @p115 :rule trans :premises (@p114 @p111)) % 0.71/0.90 (step @p116 :rule nary_cong :premises (@p115 @p107 @p89) :args (@t37)) % 0.71/0.90 (step @p117 :rule cong :premises (@p116 @p17) :args (@t38)) % 0.71/0.90 (step @p118 :rule cong :premises (@p117) :args (@t39)) % 0.71/0.90 (step @p119 :rule eq_resolve :premises (@p1 @p118)) % 0.71/0.90 (step @p120 :rule not_implies_elim2 :premises (@p119)) % 0.71/0.90 (step @p121 :rule refl :args (@t79)) % 0.71/0.90 (step @p122 :rule bool-double-not-elim :args (@t73)) % 0.71/0.90 (step @p123 :rule nary_cong :premises (@p122 @p121) :args ((or (not @t80) @t79))) % 0.71/0.90 (step @p124 :rule eq-symm :args (@t74 @t40)) % 0.71/0.90 (step @p125 :rule cong :premises (@p124) :args (@t81)) % 0.71/0.90 (step @p126 :rule cong :premises (@p125) :args (@t82)) % 0.71/0.90 (step @p127 :rule cong :premises (@p126) :args (@t83)) % 0.71/0.90 (step @p128 :rule refl :args (@t77)) % 0.71/0.90 (step @p129 :rule nary_cong :premises (@p128 @p127) :args (@t84)) % 0.71/0.90 (step @p130 :rule cong :premises (@p129) :args (@t85)) % 0.71/0.90 (step @p131 :rule refl :args (@t80)) % 0.71/0.90 (step @p132 :rule cong :premises (@p131 @p130) :args ((=> @t80 @t85))) % 0.71/0.90 (assume-push @p236 @t80) % 0.71/0.90 (step @p134 :rule skolemize :premises (@p120)) % 0.71/0.90 (step-pop @p237 :rule scope :premises (@p134)) % 0.71/0.90 (step @p135 :rule process_scope :premises (@p237) :args (@t85)) % 0.71/0.90 (step @p137 :rule eq_resolve :premises (@p135 @p132)) % 0.71/0.90 (step @p138 :rule implies_elim :premises (@p137)) % 0.71/0.90 (step @p139 :rule eq_resolve :premises (@p138 @p123)) % 0.71/0.90 (step @p140 :rule chain_m_resolution :premises (@p139 @p120) :args (@t79 @t86 (@list @t73))) % 0.71/0.90 (step @p141 :rule bool-double-not-elim :args (@t75)) % 0.71/0.90 (step @p142 :rule refl :args (@t78)) % 0.71/0.90 (step @p143 :rule nary_cong :premises (@p142 @p141) :args ((or @t78 (not @t76)))) % 0.71/0.90 (step @p144 :rule cnf_or_neg :args (@t78 1)) % 0.71/0.90 (step @p145 :rule eq_resolve :premises (@p144 @p143)) % 0.71/0.90 (step @p146 :rule reordering :premises (@p145) :args ((or @t75 @t78))) % 0.71/0.90 (step @p147 :rule chain_m_resolution :premises (@p146 @p140) :args (@t75 @t86 @t87)) % 0.71/0.90 (step @p148 :rule not_implies_elim1 :premises (@p119)) % 0.71/0.90 (step @p149 :rule and_elim :premises (@p148) :args (2)) % 0.71/0.90 (step @p150 :rule aci_norm :args ((= (or @t77 @t91 false) @t92))) % 0.71/0.90 (step @p151 :rule evaluate :args ((not true))) % 0.71/0.90 (step @p152 :rule eq-refl :args (@t74)) % 0.71/0.90 (step @p153 :rule cong :premises (@p152) :args (@t93)) % 0.71/0.90 (step @p154 :rule trans :premises (@p153 @p151)) % 0.71/0.90 (step @p155 :rule beta-reduce :args ((= @t96 @t93))) % 0.71/0.90 (step @p156 :rule trans :premises (@p155 @p154)) % 0.71/0.90 (step @p157 :rule eq-symm :args (@t74 @t46)) % 0.71/0.90 (step @p158 :rule cong :premises (@p157) :args (@t97)) % 0.71/0.90 (step @p159 :rule beta-reduce :args ((= @t98 @t97))) % 0.71/0.90 (step @p160 :rule trans :premises (@p159 @p158)) % 0.71/0.90 (step @p161 :rule bool-double-not-elim :args (@t88)) % 0.71/0.90 (step @p162 :rule eq-symm :args (@t74 @t2)) % 0.71/0.90 (step @p163 :rule cong :premises (@p162) :args (@t99)) % 0.71/0.90 (step @p164 :rule beta-reduce :args ((= @t100 @t99))) % 0.71/0.90 (step @p165 :rule trans :premises (@p164 @p163)) % 0.71/0.90 (step @p166 :rule cong :premises (@p165) :args (@t101)) % 0.71/0.90 (step @p167 :rule trans :premises (@p166 @p161)) % 0.71/0.90 (step @p168 :rule bool-double-not-elim :args (@t89)) % 0.71/0.90 (step @p169 :rule eq-symm :args (@t74 @t5)) % 0.71/0.90 (step @p170 :rule cong :premises (@p169) :args (@t102)) % 0.71/0.90 (step @p171 :rule beta-reduce :args ((= @t103 @t102))) % 0.71/0.90 (step @p172 :rule trans :premises (@p171 @p170)) % 0.71/0.90 (step @p173 :rule cong :premises (@p172) :args (@t104)) % 0.71/0.90 (step @p174 :rule trans :premises (@p173 @p168)) % 0.71/0.90 (step @p175 :rule nary_cong :premises (@p174 @p167 @p160) :args (@t105)) % 0.71/0.90 (step @p176 :rule cong :premises (@p175) :args (@t106)) % 0.71/0.90 (step @p177 :rule cong :premises (@p176) :args (@t107)) % 0.71/0.90 (step @p178 :rule bool-double-not-elim :args (@t77)) % 0.71/0.90 (step @p179 :rule eq-symm :args (@t74 tptp.cZ)) % 0.71/0.90 (step @p180 :rule cong :premises (@p179) :args (@t108)) % 0.71/0.90 (step @p181 :rule beta-reduce :args ((= @t109 @t108))) % 0.71/0.90 (step @p182 :rule trans :premises (@p181 @p180)) % 0.71/0.90 (step @p183 :rule cong :premises (@p182) :args (@t110)) % 0.71/0.90 (step @p184 :rule trans :premises (@p183 @p178)) % 0.71/0.90 (step @p185 :rule nary_cong :premises (@p184 @p177 @p156) :args (@t111)) % 0.71/0.90 (step @p186 :rule trans :premises (@p185 @p150)) % 0.71/0.90 (step @p187 :rule refl :args (@t55)) % 0.71/0.90 (step @p188 :rule cong :premises (@p187 @p186) :args ((=> @t55 @t111))) % 0.71/0.90 (assume-push @p238 @t55) % 0.71/0.90 (step @p190 :rule instantiate :premises (@p149) :args ((@list @t95 @t74))) % 0.71/0.90 (step-pop @p239 :rule scope :premises (@p190)) % 0.71/0.90 (step @p191 :rule process_scope :premises (@p239) :args (@t111)) % 0.71/0.90 (step @p193 :rule eq_resolve :premises (@p191 @p188)) % 0.71/0.90 (step @p194 :rule implies_elim :premises (@p193)) % 0.71/0.90 (step @p195 :rule chain_m_resolution :premises (@p194 @p149) :args (@t92 (@list false) (@list @t55))) % 0.71/0.90 (step @p196 :rule cnf_or_neg :args (@t78 0)) % 0.71/0.90 (step @p197 :rule chain_m_resolution :premises (@p196 @p140) :args ((not @t77) @t86 @t87)) % 0.71/0.90 (step @p198 :rule cnf_or_pos :args (@t92)) % 0.71/0.90 (step @p199 :rule reordering :premises (@p198) :args ((or @t77 @t91 (not @t92)))) % 0.71/0.90 (step @p200 :rule chain_m_resolution :premises (@p199 @p197 @p195) :args (@t91 (@list true false) (@list @t77 @t92))) % 0.71/0.90 (step @p201 :rule refl :args (@t118)) % 0.71/0.90 (step @p202 :rule bool-double-not-elim :args (@t90)) % 0.71/0.90 (step @p203 :rule nary_cong :premises (@p202 @p201) :args ((or (not @t91) @t118))) % 0.71/0.90 (step @p204 :rule eq-symm :args (@t114 @t74)) % 0.71/0.90 (step @p205 :rule cong :premises (@p204) :args (@t119)) % 0.71/0.90 (step @p206 :rule eq-symm :args (@t112 @t74)) % 0.71/0.90 (step @p207 :rule eq-symm :args (@t113 @t74)) % 0.71/0.90 (step @p208 :rule nary_cong :premises (@p207 @p206 @p205) :args (@t120)) % 0.71/0.90 (step @p209 :rule cong :premises (@p208) :args (@t121)) % 0.71/0.90 (step @p210 :rule refl :args (@t91)) % 0.71/0.90 (step @p211 :rule cong :premises (@p210 @p209) :args ((=> @t91 @t121))) % 0.71/0.90 (assume-push @p240 @t91) % 0.71/0.90 (step @p213 :rule skolemize :premises (@p200)) % 0.71/0.90 (step-pop @p241 :rule scope :premises (@p213)) % 0.71/0.90 (step @p214 :rule process_scope :premises (@p241) :args (@t121)) % 0.71/0.90 (step @p216 :rule eq_resolve :premises (@p214 @p211)) % 0.71/0.90 (step @p217 :rule implies_elim :premises (@p216)) % 0.71/0.90 (step @p218 :rule eq_resolve :premises (@p217 @p203)) % 0.71/0.90 (step @p219 :rule chain_m_resolution :premises (@p218 @p200) :args (@t118 @t86 (@list @t90))) % 0.71/0.90 (step @p220 :rule bool-double-not-elim :args (@t115)) % 0.71/0.90 (step @p221 :rule refl :args (@t117)) % 0.71/0.90 (step @p222 :rule nary_cong :premises (@p221 @p220) :args ((or @t117 (not @t116)))) % 0.71/0.90 (step @p223 :rule cnf_or_neg :args (@t117 2)) % 0.71/0.90 (step @p224 :rule eq_resolve :premises (@p223 @p222)) % 0.71/0.90 (step @p225 :rule reordering :premises (@p224) :args ((or @t115 @t117))) % 0.71/0.90 (step @p226 :rule chain_m_resolution :premises (@p225 @p219) :args (@t115 @t86 (@list @t117))) % 0.71/0.90 (step @p227 :rule refl :args (@t75)) % 0.71/0.90 (step @p228 :rule cong :premises (@p227 @p205) :args ((=> @t75 @t119))) % 0.71/0.90 (assume-push @p242 @t75) % 0.71/0.90 (step @p230 :rule instantiate :premises (@p147) :args ((@list @t113 @t112))) % 0.71/0.90 (step-pop @p243 :rule scope :premises (@p230)) % 0.71/0.90 (step @p231 :rule process_scope :premises (@p243) :args (@t119)) % 0.71/0.90 (step @p233 :rule eq_resolve :premises (@p231 @p228)) % 0.71/0.90 (step @p234 :rule implies_elim :premises (@p233)) % 0.71/0.90 (step @p235 false :rule chain_m_resolution :premises (@p234 @p226 @p147) :args (false (@list false false) (@list @t115 @t75))) % 0.71/0.90 ) % 0.71/0.90 % SZS output end Proof % 0.71/0.90 % cvc5 exiting %------------------------------------------------------------------------------