%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEV060^5 : 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 : n008.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 08:55:23 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 : SEV060^5 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n008.cluster.edu % 0.17/0.35 % Model : x86_64 x86_64 % 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.35 % Memory : 8042.1875MB % 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Tue Jun 2 18:11:18 EDT 2026 % 0.17/0.35 % CPUTime : % 0.28/0.50 %----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 (define @t1 () (@var "Xy0" tptp.a)) % 0.38/0.58 (define @t2 () (@var "Xx0" tptp.b)) % 0.38/0.58 (define @t3 () (@var "Xs" (-> tptp.b tptp.a Bool))) % 0.38/0.58 (define @t4 () (_ (_ @t3 @t2) @t1)) % 0.38/0.58 (define @t5 () (@var "Xk" (-> tptp.b tptp.a Bool))) % 0.38/0.58 (define @t6 () (_ (_ @t5 @t2) @t1)) % 0.38/0.58 (define @t7 () (@list @t2 @t1)) % 0.38/0.58 (define @t8 () (forall @t7 (=> @t6 @t4))) % 0.38/0.58 (define @t9 () (@var "Xy" tptp.a)) % 0.38/0.58 (define @t10 () (@var "Xx" tptp.b)) % 0.38/0.58 (define @t11 () (_ (_ @t5 @t10) @t9)) % 0.38/0.58 (define @t12 () (not @t11)) % 0.38/0.58 (define @t13 () (@var "Xy_9" tptp.a)) % 0.38/0.58 (define @t14 () (@var "Xx_0" tptp.b)) % 0.38/0.58 (define @t15 () (and (= @t14 @t10) (= @t13 @t9))) % 0.38/0.58 (define @t16 () (_ (_ @t3 @t14) @t13)) % 0.38/0.58 (define @t17 () (or @t16 @t15)) % 0.38/0.58 (define @t18 () (_ (_ @t5 @t14) @t13)) % 0.38/0.58 (define @t19 () (=> @t18 @t17)) % 0.38/0.58 (define @t20 () (@list @t14 @t13)) % 0.38/0.58 (define @t21 () (forall @t20 @t19)) % 0.38/0.58 (define @t22 () (and @t21 @t12)) % 0.38/0.58 (define @t23 () (=> @t22 @t8)) % 0.38/0.58 (define @t24 () (@list @t10 @t9 @t3 @t5)) % 0.38/0.58 (define @t25 () (forall @t24 @t23)) % 0.38/0.58 (define @t26 () (not @t25)) % 0.38/0.58 (define @t27 () (@var "BOUND_VARIABLE_7479" tptp.a)) % 0.38/0.58 (define @t28 () (@var "BOUND_VARIABLE_7477" tptp.b)) % 0.38/0.58 (define @t29 () (_ @t3 @t28 @t27)) % 0.38/0.58 (define @t30 () (not (_ @t5 @t28 @t27))) % 0.38/0.58 (define @t31 () (_ @t5 @t10 @t9)) % 0.38/0.58 (define @t32 () (and (= @t10 @t14) (= @t9 @t13))) % 0.38/0.58 (define @t33 () (_ @t3 @t14 @t13)) % 0.38/0.58 (define @t34 () (_ @t5 @t14 @t13)) % 0.38/0.58 (define @t35 () (forall @t20 (or (not @t34) @t33 @t32))) % 0.38/0.58 (define @t36 () (not @t35)) % 0.38/0.58 (define @t37 () (or @t36 @t31 @t30 @t29)) % 0.38/0.58 (define @t38 () (or @t30 @t29)) % 0.38/0.58 (define @t39 () (or @t36 @t31 @t38)) % 0.38/0.58 (define @t40 () (@list @t10 @t9 @t3 @t5 @t28 @t27)) % 0.38/0.58 (define @t41 () (forall @t40 @t39)) % 0.38/0.58 (define @t42 () (@list @t28 @t27)) % 0.38/0.58 (define @t43 () (forall @t42 @t39)) % 0.38/0.58 (define @t44 () (forall @t42 @t38)) % 0.38/0.58 (define @t45 () (or @t36 @t31 @t44)) % 0.38/0.58 (define @t46 () (_ @t3 @t2 @t1)) % 0.38/0.58 (define @t47 () (_ @t5 @t2 @t1)) % 0.38/0.58 (define @t48 () (forall @t7 (or (not @t47) @t46))) % 0.38/0.58 (define @t49 () (or @t36 @t11 @t48)) % 0.38/0.58 (define @t50 () (and @t35 @t12)) % 0.38/0.58 (define @t51 () (not @t6)) % 0.38/0.58 (define @t52 () (or @t51 @t4)) % 0.38/0.58 (define @t53 () (not @t18)) % 0.38/0.58 (define @t54 () (or @t53 @t16 @t32)) % 0.38/0.58 (define @t55 () (or @t16 @t32)) % 0.38/0.58 (define @t56 () (forall @t40 @t37)) % 0.38/0.58 (define @t57 () (@quantifiers_skolemize @t56 5)) % 0.38/0.58 (define @t58 () (@quantifiers_skolemize @t56 4)) % 0.38/0.58 (define @t59 () (@quantifiers_skolemize @t56 2)) % 0.38/0.58 (define @t60 () (_ @t59 @t58 @t57)) % 0.38/0.58 (define @t61 () (@quantifiers_skolemize @t56 3)) % 0.38/0.58 (define @t62 () (_ @t61 @t58 @t57)) % 0.38/0.58 (define @t63 () (not @t62)) % 0.38/0.58 (define @t64 () (@quantifiers_skolemize @t56 1)) % 0.38/0.58 (define @t65 () (@quantifiers_skolemize @t56 0)) % 0.38/0.58 (define @t66 () (_ @t61 @t65 @t64)) % 0.38/0.58 (define @t67 () (_ @t59 @t14 @t13)) % 0.38/0.58 (define @t68 () (not (_ @t61 @t14 @t13))) % 0.38/0.58 (define @t69 () (forall @t20 (or @t68 @t67 (and (= @t14 @t65) (= @t13 @t64))))) % 0.38/0.58 (define @t70 () (not @t69)) % 0.38/0.58 (define @t71 () (or @t70 @t66 @t63 @t60)) % 0.38/0.58 (define @t72 () (not @t71)) % 0.38/0.58 (define @t73 () (not @t56)) % 0.38/0.58 (define @t74 () (and (= @t65 @t14) (= @t64 @t13))) % 0.38/0.58 (define @t75 () (or @t68 @t67 @t74)) % 0.38/0.58 (define @t76 () (forall @t20 @t75)) % 0.38/0.58 (define @t77 () (not @t76)) % 0.38/0.58 (define @t78 () (or @t77 @t66 @t63 @t60)) % 0.38/0.58 (define @t79 () (not @t78)) % 0.38/0.58 (define @t80 () (@list true)) % 0.38/0.58 (define @t81 () (@list @t71)) % 0.38/0.58 (define @t82 () (and (= @t58 @t65) (= @t57 @t64))) % 0.38/0.58 (define @t83 () (or @t63 @t60 @t82)) % 0.38/0.58 (define @t84 () (= @t64 @t57)) % 0.38/0.58 (define @t85 () (= @t65 @t58)) % 0.38/0.58 (define @t86 () (and @t85 @t84)) % 0.38/0.58 (define @t87 () (or @t63 @t60 @t86)) % 0.38/0.58 (define @t88 () (@list false)) % 0.38/0.58 (define @t89 () (not @t86)) % 0.38/0.58 (define @t90 () (@list @t86)) % 0.38/0.58 (assume @p1 @t26) % 0.38/0.58 (assume @p2 true) % 0.38/0.58 (step @p3 :rule evaluate :args ((= true false))) % 0.38/0.58 (step @p4 :rule aci_norm :args ((= @t39 @t37))) % 0.38/0.58 (step @p5 :rule cong :premises (@p4) :args (@t41)) % 0.38/0.58 (step @p6 :rule quant-merge-prenex :args ((= (forall @t24 @t43) @t41))) % 0.38/0.58 (step @p7 :rule alpha_equiv :args (@t44 (@list @t28 @t27) (@list @t2 @t1))) % 0.38/0.58 (step @p8 :rule refl :args (@t31)) % 0.38/0.58 (step @p9 :rule refl :args (@t36)) % 0.38/0.58 (step @p10 :rule nary_cong :premises (@p9 @p8 @p7) :args (@t45)) % 0.38/0.58 (step @p11 :rule quant-miniscope-or :args ((= @t43 @t45))) % 0.38/0.58 (step @p12 :rule trans :premises (@p11 @p10)) % 0.38/0.58 (step @p13 :rule symm :premises (@p12)) % 0.38/0.58 (step @p14 :rule cong :premises (@p13) :args ((forall @t24 (or @t36 @t31 @t48)))) % 0.38/0.58 (step @p15 :rule trans :premises (@p14 @p6)) % 0.38/0.58 (step @p16 :rule trans :premises (@p15 @p5)) % 0.38/0.58 (step @p17 :rule refl :args (@t48)) % 0.38/0.58 (step @p18 :rule refl :args (@t31)) % 0.38/0.58 (step @p19 :rule refl :args (@t11)) % 0.38/0.58 (step @p20 :rule cong :premises (@p19 @p18) :args ((= @t11 @t31))) % 0.38/0.58 (step @p21 :rule symm :premises (@p20)) % 0.38/0.58 (step @p22 :rule eq_resolve :premises (@p19 @p21)) % 0.38/0.58 (step @p23 :rule nary_cong :premises (@p9 @p22 @p17) :args (@t49)) % 0.38/0.58 (step @p24 :rule cong :premises (@p23) :args ((forall @t24 @t49))) % 0.38/0.58 (step @p25 :rule trans :premises (@p24 @p16)) % 0.38/0.58 (step @p26 :rule aci_norm :args ((= (or (or @t36 @t11) @t48) @t49))) % 0.38/0.58 (step @p27 :rule bool-double-not-elim :args (@t11)) % 0.38/0.58 (step @p28 :rule nary_cong :premises (@p9 @p27) :args ((or @t36 (not @t12)))) % 0.38/0.58 (step @p29 :rule bool-and-de-morgan :args (@t35 @t12 true)) % 0.38/0.58 (step @p30 :rule trans :premises (@p29 @p28)) % 0.38/0.58 (step @p31 :rule nary_cong :premises (@p30 @p17) :args ((or (not @t50) @t48))) % 0.38/0.58 (step @p32 :rule trans :premises (@p31 @p26)) % 0.38/0.58 (step @p33 :rule bool-impl-elim :args (@t50 @t48)) % 0.38/0.58 (step @p34 :rule trans :premises (@p33 @p32)) % 0.38/0.58 (step @p35 :rule cong :premises (@p34) :args ((forall @t24 (=> @t50 @t48)))) % 0.38/0.58 (step @p36 :rule trans :premises (@p35 @p25)) % 0.38/0.58 (step @p37 :rule refl :args (@t46)) % 0.38/0.58 (step @p38 :rule refl :args (@t4)) % 0.38/0.58 (step @p39 :rule cong :premises (@p38 @p37) :args ((= @t4 @t46))) % 0.38/0.58 (step @p40 :rule symm :premises (@p39)) % 0.38/0.58 (step @p41 :rule eq_resolve :premises (@p38 @p40)) % 0.38/0.58 (step @p42 :rule refl :args (@t47)) % 0.38/0.58 (step @p43 :rule refl :args (@t6)) % 0.38/0.58 (step @p44 :rule cong :premises (@p43 @p42) :args ((= @t6 @t47))) % 0.38/0.58 (step @p45 :rule symm :premises (@p44)) % 0.38/0.58 (step @p46 :rule eq_resolve :premises (@p43 @p45)) % 0.38/0.58 (step @p47 :rule cong :premises (@p46) :args (@t51)) % 0.38/0.58 (step @p48 :rule nary_cong :premises (@p47 @p41) :args (@t52)) % 0.38/0.58 (step @p49 :rule cong :premises (@p48) :args ((forall @t7 @t52))) % 0.38/0.58 (step @p50 :rule bool-impl-elim :args (@t6 @t4)) % 0.38/0.58 (step @p51 :rule cong :premises (@p50) :args (@t8)) % 0.38/0.58 (step @p52 :rule trans :premises (@p51 @p49)) % 0.38/0.58 (step @p53 :rule refl :args (@t12)) % 0.38/0.58 (step @p54 :rule refl :args (@t32)) % 0.38/0.58 (step @p55 :rule refl :args (@t33)) % 0.38/0.58 (step @p56 :rule refl :args (@t16)) % 0.38/0.58 (step @p57 :rule cong :premises (@p56 @p55) :args ((= @t16 @t33))) % 0.38/0.58 (step @p58 :rule symm :premises (@p57)) % 0.38/0.58 (step @p59 :rule eq_resolve :premises (@p56 @p58)) % 0.38/0.58 (step @p60 :rule refl :args (@t34)) % 0.38/0.58 (step @p61 :rule refl :args (@t18)) % 0.38/0.58 (step @p62 :rule cong :premises (@p61 @p60) :args ((= @t18 @t34))) % 0.38/0.58 (step @p63 :rule symm :premises (@p62)) % 0.38/0.58 (step @p64 :rule eq_resolve :premises (@p61 @p63)) % 0.38/0.58 (step @p65 :rule cong :premises (@p64) :args (@t53)) % 0.38/0.58 (step @p66 :rule nary_cong :premises (@p65 @p59 @p54) :args (@t54)) % 0.38/0.58 (step @p67 :rule cong :premises (@p66) :args ((forall @t20 @t54))) % 0.38/0.58 (step @p68 :rule aci_norm :args ((= (or @t53 @t55) @t54))) % 0.38/0.58 (step @p69 :rule bool-impl-elim :args (@t18 @t55)) % 0.38/0.58 (step @p70 :rule trans :premises (@p69 @p68)) % 0.38/0.58 (step @p71 :rule cong :premises (@p70) :args ((forall @t20 (=> @t18 @t55)))) % 0.38/0.58 (step @p72 :rule trans :premises (@p71 @p67)) % 0.38/0.58 (step @p73 :rule eq-symm :args (@t13 @t9)) % 0.38/0.58 (step @p74 :rule eq-symm :args (@t14 @t10)) % 0.38/0.58 (step @p75 :rule nary_cong :premises (@p74 @p73) :args (@t15)) % 0.38/0.58 (step @p76 :rule refl :args (@t16)) % 0.38/0.58 (step @p77 :rule nary_cong :premises (@p76 @p75) :args (@t17)) % 0.38/0.58 (step @p78 :rule refl :args (@t18)) % 0.38/0.58 (step @p79 :rule cong :premises (@p78 @p77) :args (@t19)) % 0.38/0.58 (step @p80 :rule cong :premises (@p79) :args (@t21)) % 0.38/0.58 (step @p81 :rule trans :premises (@p80 @p72)) % 0.38/0.58 (step @p82 :rule nary_cong :premises (@p81 @p53) :args (@t22)) % 0.38/0.58 (step @p83 :rule cong :premises (@p82 @p52) :args (@t23)) % 0.38/0.58 (step @p84 :rule cong :premises (@p83) :args (@t25)) % 0.38/0.58 (step @p85 :rule trans :premises (@p84 @p36)) % 0.38/0.58 (step @p86 :rule cong :premises (@p85) :args (@t26)) % 0.38/0.58 (step @p87 :rule eq_resolve :premises (@p1 @p86)) % 0.38/0.58 (step @p88 :rule refl :args (@t72)) % 0.38/0.58 (step @p89 :rule bool-double-not-elim :args (@t56)) % 0.38/0.58 (step @p90 :rule nary_cong :premises (@p89 @p88) :args ((or (not @t73) @t72))) % 0.38/0.58 (step @p91 :rule refl :args (@t60)) % 0.38/0.58 (step @p92 :rule refl :args (@t63)) % 0.38/0.58 (step @p93 :rule refl :args (@t66)) % 0.38/0.58 (step @p94 :rule eq-symm :args (@t64 @t13)) % 0.38/0.58 (step @p95 :rule eq-symm :args (@t65 @t14)) % 0.38/0.58 (step @p96 :rule nary_cong :premises (@p95 @p94) :args (@t74)) % 0.38/0.58 (step @p97 :rule refl :args (@t67)) % 0.38/0.58 (step @p98 :rule refl :args (@t68)) % 0.38/0.58 (step @p99 :rule nary_cong :premises (@p98 @p97 @p96) :args (@t75)) % 0.38/0.58 (step @p100 :rule cong :premises (@p99) :args (@t76)) % 0.38/0.58 (step @p101 :rule cong :premises (@p100) :args (@t77)) % 0.38/0.58 (step @p102 :rule nary_cong :premises (@p101 @p93 @p92 @p91) :args (@t78)) % 0.38/0.58 (step @p103 :rule cong :premises (@p102) :args (@t79)) % 0.38/0.58 (step @p104 :rule refl :args (@t73)) % 0.38/0.58 (step @p105 :rule cong :premises (@p104 @p103) :args ((=> @t73 @t79))) % 0.38/0.58 (assume-push @p161 @t73) % 0.38/0.58 (step @p107 :rule skolemize :premises (@p87)) % 0.38/0.58 (step-pop @p162 :rule scope :premises (@p107)) % 0.38/0.58 (step @p108 :rule process_scope :premises (@p162) :args (@t79)) % 0.38/0.58 (step @p110 :rule eq_resolve :premises (@p108 @p105)) % 0.38/0.58 (step @p111 :rule implies_elim :premises (@p110)) % 0.38/0.58 (step @p112 :rule eq_resolve :premises (@p111 @p90)) % 0.38/0.58 (step @p113 :rule chain_m_resolution :premises (@p112 @p87) :args (@t72 @t80 (@list @t56))) % 0.38/0.58 (step @p114 :rule cnf_or_neg :args (@t71 1)) % 0.38/0.58 (step @p115 :rule chain_m_resolution :premises (@p114 @p113) :args ((not @t66) @t80 @t81)) % 0.38/0.58 (step @p116 :rule false_intro :premises (@p115)) % 0.38/0.58 (step @p117 :rule bool-double-not-elim :args (@t69)) % 0.38/0.58 (step @p118 :rule refl :args (@t71)) % 0.38/0.58 (step @p119 :rule nary_cong :premises (@p118 @p117) :args ((or @t71 (not @t70)))) % 0.38/0.58 (step @p120 :rule cnf_or_neg :args (@t71 0)) % 0.38/0.58 (step @p121 :rule eq_resolve :premises (@p120 @p119)) % 0.38/0.58 (step @p122 :rule reordering :premises (@p121) :args ((or @t69 @t71))) % 0.38/0.58 (step @p123 :rule chain_m_resolution :premises (@p122 @p113) :args (@t69 @t80 @t81)) % 0.38/0.58 (step @p124 :rule eq-symm :args (@t57 @t64)) % 0.38/0.58 (step @p125 :rule eq-symm :args (@t58 @t65)) % 0.38/0.58 (step @p126 :rule nary_cong :premises (@p125 @p124) :args (@t82)) % 0.38/0.58 (step @p127 :rule nary_cong :premises (@p92 @p91 @p126) :args (@t83)) % 0.38/0.58 (step @p128 :rule refl :args (@t69)) % 0.38/0.58 (step @p129 :rule cong :premises (@p128 @p127) :args ((=> @t69 @t83))) % 0.38/0.58 (assume-push @p163 @t69) % 0.38/0.58 (step @p131 :rule instantiate :premises (@p123) :args ((@list @t58 @t57))) % 0.38/0.58 (step-pop @p164 :rule scope :premises (@p131)) % 0.38/0.58 (step @p132 :rule process_scope :premises (@p164) :args (@t83)) % 0.38/0.58 (step @p134 :rule eq_resolve :premises (@p132 @p129)) % 0.38/0.58 (step @p135 :rule implies_elim :premises (@p134)) % 0.38/0.58 (step @p136 :rule chain_m_resolution :premises (@p135 @p123) :args (@t87 @t88 (@list @t69))) % 0.38/0.58 (step @p137 :rule cnf_or_neg :args (@t71 3)) % 0.38/0.58 (step @p138 :rule chain_m_resolution :premises (@p137 @p113) :args ((not @t60) @t80 @t81)) % 0.38/0.58 (step @p139 :rule bool-double-not-elim :args (@t62)) % 0.38/0.58 (step @p140 :rule nary_cong :premises (@p118 @p139) :args ((or @t71 (not @t63)))) % 0.38/0.58 (step @p141 :rule cnf_or_neg :args (@t71 2)) % 0.38/0.58 (step @p142 :rule eq_resolve :premises (@p141 @p140)) % 0.38/0.58 (step @p143 :rule reordering :premises (@p142) :args ((or @t62 @t71))) % 0.38/0.58 (step @p144 :rule chain_m_resolution :premises (@p143 @p113) :args (@t62 @t80 @t81)) % 0.38/0.58 (step @p145 :rule cnf_or_pos :args (@t87)) % 0.38/0.58 (step @p146 :rule reordering :premises (@p145) :args ((or @t63 @t60 @t86 (not @t87)))) % 0.38/0.58 (step @p147 :rule chain_m_resolution :premises (@p146 @p144 @p138 @p136) :args (@t86 (@list false true false) (@list @t62 @t60 @t87))) % 0.38/0.58 (step @p148 :rule cnf_and_pos :args (@t86 1)) % 0.38/0.58 (step @p149 :rule reordering :premises (@p148) :args ((or @t84 @t89))) % 0.38/0.58 (step @p150 :rule chain_m_resolution :premises (@p149 @p147) :args (@t84 @t88 @t90)) % 0.38/0.58 (step @p151 :rule symm :premises (@p150)) % 0.38/0.58 (step @p152 :rule cnf_and_pos :args (@t86 0)) % 0.38/0.58 (step @p153 :rule reordering :premises (@p152) :args ((or @t85 @t89))) % 0.38/0.58 (step @p154 :rule chain_m_resolution :premises (@p153 @p147) :args (@t85 @t88 @t90)) % 0.38/0.58 (step @p155 :rule symm :premises (@p154)) % 0.38/0.58 (step @p156 :rule cong :premises (@p155 @p151) :args (@t62)) % 0.38/0.58 (step @p157 :rule true_intro :premises (@p144)) % 0.38/0.58 (step @p158 :rule symm :premises (@p157)) % 0.38/0.58 (step @p159 :rule trans :premises (@p158 @p156 @p116)) % 0.38/0.58 (step @p160 false :rule eq_resolve :premises (@p159 @p3)) % 0.38/0.58 ) % 0.38/0.58 % SZS output end Proof % 0.38/0.58 % cvc5 exiting %------------------------------------------------------------------------------