%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEV061^5 : 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 : n011.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:55:23 AM UTC 2026 % Result : Theorem 0.30s 0.55s % Output : Proof 0.30s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEV061^5 : 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 % 0.15/0.34 % Computer : n011.cluster.edu % 0.15/0.34 % Model : x86_64 x86_64 % 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.34 % Memory : 8042.1875MB % 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.34 % CPULimit : 300 % 0.15/0.34 % WCLimit : 300 % 0.15/0.34 % DateTime : Tue Jun 2 18:10:20 EDT 2026 % 0.15/0.34 % CPUTime : % 0.30/0.48 %----Proving TH0 % 0.30/0.55 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.30/0.55 % SZS status Theorem % 0.30/0.55 % SZS output start Proof % 0.30/0.55 ( % 0.30/0.55 (declare-sort tptp.b 0) % 0.30/0.55 (declare-sort tptp.a 0) % 0.30/0.55 (define @t1 () (@var "Xy_48" tptp.a)) % 0.30/0.55 (define @t2 () (@var "Xx_3" tptp.b)) % 0.30/0.55 (define @t3 () (@var "Xs" (-> tptp.b tptp.a Bool))) % 0.30/0.55 (define @t4 () (_ (_ @t3 @t2) @t1)) % 0.30/0.55 (define @t5 () (@var "Xy" tptp.a)) % 0.30/0.55 (define @t6 () (@var "Xx" tptp.b)) % 0.30/0.55 (define @t7 () (and (= @t2 @t6) (= @t1 @t5))) % 0.30/0.55 (define @t8 () (not @t7)) % 0.30/0.55 (define @t9 () (@var "Xk" (-> tptp.b tptp.a Bool))) % 0.30/0.55 (define @t10 () (_ (_ @t9 @t2) @t1)) % 0.30/0.55 (define @t11 () (and @t10 @t8)) % 0.30/0.55 (define @t12 () (=> @t11 @t4)) % 0.30/0.55 (define @t13 () (@list @t2 @t1)) % 0.30/0.55 (define @t14 () (forall @t13 @t12)) % 0.30/0.55 (define @t15 () (@var "Xy_47" tptp.a)) % 0.30/0.55 (define @t16 () (@var "Xx_2" tptp.b)) % 0.30/0.55 (define @t17 () (and (= @t16 @t6) (= @t15 @t5))) % 0.30/0.55 (define @t18 () (_ (_ @t3 @t16) @t15)) % 0.30/0.55 (define @t19 () (or @t18 @t17)) % 0.30/0.55 (define @t20 () (_ (_ @t9 @t16) @t15)) % 0.30/0.55 (define @t21 () (=> @t20 @t19)) % 0.30/0.55 (define @t22 () (@list @t16 @t15)) % 0.30/0.55 (define @t23 () (forall @t22 @t21)) % 0.30/0.55 (define @t24 () (=> @t23 @t14)) % 0.30/0.55 (define @t25 () (@list @t6 @t5 @t3 @t9)) % 0.30/0.55 (define @t26 () (forall @t25 @t24)) % 0.30/0.55 (define @t27 () (not @t26)) % 0.30/0.55 (define @t28 () (@var "BOUND_VARIABLE_7483" tptp.a)) % 0.30/0.55 (define @t29 () (@var "BOUND_VARIABLE_7481" tptp.b)) % 0.30/0.55 (define @t30 () (_ @t3 @t29 @t28)) % 0.30/0.55 (define @t31 () (and (= @t6 @t29) (= @t5 @t28))) % 0.30/0.55 (define @t32 () (not (_ @t9 @t29 @t28))) % 0.30/0.55 (define @t33 () (and (= @t6 @t16) (= @t5 @t15))) % 0.30/0.55 (define @t34 () (_ @t3 @t16 @t15)) % 0.30/0.55 (define @t35 () (_ @t9 @t16 @t15)) % 0.30/0.55 (define @t36 () (forall @t22 (or (not @t35) @t34 @t33))) % 0.30/0.55 (define @t37 () (not @t36)) % 0.30/0.55 (define @t38 () (or @t37 @t32 @t31 @t30)) % 0.30/0.55 (define @t39 () (or @t32 @t31 @t30)) % 0.30/0.55 (define @t40 () (or @t37 @t39)) % 0.30/0.55 (define @t41 () (@list @t6 @t5 @t3 @t9 @t29 @t28)) % 0.30/0.55 (define @t42 () (forall @t41 @t40)) % 0.30/0.55 (define @t43 () (@list @t29 @t28)) % 0.30/0.55 (define @t44 () (forall @t43 @t40)) % 0.30/0.55 (define @t45 () (forall @t43 @t39)) % 0.30/0.55 (define @t46 () (or @t37 @t45)) % 0.30/0.55 (define @t47 () (_ @t3 @t2 @t1)) % 0.30/0.55 (define @t48 () (and (= @t6 @t2) (= @t5 @t1))) % 0.30/0.55 (define @t49 () (_ @t9 @t2 @t1)) % 0.30/0.55 (define @t50 () (forall @t13 (or (not @t49) @t48 @t47))) % 0.30/0.55 (define @t51 () (not @t10)) % 0.30/0.55 (define @t52 () (or @t51 @t48 @t4)) % 0.30/0.55 (define @t53 () (not @t48)) % 0.30/0.55 (define @t54 () (and @t10 @t53)) % 0.30/0.55 (define @t55 () (not @t20)) % 0.30/0.55 (define @t56 () (or @t55 @t18 @t33)) % 0.30/0.55 (define @t57 () (or @t18 @t33)) % 0.30/0.55 (define @t58 () (forall @t41 @t38)) % 0.30/0.55 (define @t59 () (@quantifiers_skolemize @t58 5)) % 0.30/0.55 (define @t60 () (@quantifiers_skolemize @t58 4)) % 0.30/0.55 (define @t61 () (@quantifiers_skolemize @t58 2)) % 0.30/0.55 (define @t62 () (_ @t61 @t60 @t59)) % 0.30/0.55 (define @t63 () (@quantifiers_skolemize @t58 1)) % 0.30/0.55 (define @t64 () (@quantifiers_skolemize @t58 0)) % 0.30/0.55 (define @t65 () (and (= @t64 @t60) (= @t63 @t59))) % 0.30/0.55 (define @t66 () (@quantifiers_skolemize @t58 3)) % 0.30/0.55 (define @t67 () (_ @t66 @t60 @t59)) % 0.30/0.55 (define @t68 () (not @t67)) % 0.30/0.55 (define @t69 () (_ @t61 @t16 @t15)) % 0.30/0.55 (define @t70 () (not (_ @t66 @t16 @t15))) % 0.30/0.55 (define @t71 () (forall @t22 (or @t70 @t69 (and (= @t16 @t64) (= @t15 @t63))))) % 0.30/0.55 (define @t72 () (not @t71)) % 0.30/0.55 (define @t73 () (or @t72 @t68 @t65 @t62)) % 0.30/0.55 (define @t74 () (not @t73)) % 0.30/0.55 (define @t75 () (not @t58)) % 0.30/0.55 (define @t76 () (and (= @t64 @t16) (= @t63 @t15))) % 0.30/0.55 (define @t77 () (or @t70 @t69 @t76)) % 0.30/0.55 (define @t78 () (forall @t22 @t77)) % 0.30/0.55 (define @t79 () (not @t78)) % 0.30/0.55 (define @t80 () (or @t79 @t68 @t65 @t62)) % 0.30/0.55 (define @t81 () (not @t80)) % 0.30/0.55 (define @t82 () (@list true)) % 0.30/0.55 (define @t83 () (@list @t73)) % 0.30/0.55 (define @t84 () (or @t68 @t62 @t65)) % 0.30/0.55 (define @t85 () (not @t84)) % 0.30/0.55 (define @t86 () (and (= @t60 @t64) (= @t59 @t63))) % 0.30/0.55 (define @t87 () (or @t68 @t62 @t86)) % 0.30/0.55 (assume @p1 @t27) % 0.30/0.55 (assume @p2 true) % 0.30/0.55 (step @p3 :rule aci_norm :args ((= @t40 @t38))) % 0.30/0.55 (step @p4 :rule cong :premises (@p3) :args (@t42)) % 0.30/0.55 (step @p5 :rule quant-merge-prenex :args ((= (forall @t25 @t44) @t42))) % 0.30/0.55 (step @p6 :rule alpha_equiv :args (@t45 (@list @t29 @t28) (@list @t2 @t1))) % 0.30/0.55 (step @p7 :rule refl :args (@t37)) % 0.30/0.55 (step @p8 :rule nary_cong :premises (@p7 @p6) :args (@t46)) % 0.30/0.55 (step @p9 :rule quant-miniscope-or :args ((= @t44 @t46))) % 0.30/0.55 (step @p10 :rule trans :premises (@p9 @p8)) % 0.30/0.55 (step @p11 :rule symm :premises (@p10)) % 0.30/0.55 (step @p12 :rule cong :premises (@p11) :args ((forall @t25 (or @t37 @t50)))) % 0.30/0.55 (step @p13 :rule trans :premises (@p12 @p5)) % 0.30/0.55 (step @p14 :rule trans :premises (@p13 @p4)) % 0.30/0.55 (step @p15 :rule bool-impl-elim :args (@t36 @t50)) % 0.30/0.55 (step @p16 :rule cong :premises (@p15) :args ((forall @t25 (=> @t36 @t50)))) % 0.30/0.55 (step @p17 :rule trans :premises (@p16 @p14)) % 0.30/0.55 (step @p18 :rule refl :args (@t47)) % 0.30/0.55 (step @p19 :rule refl :args (@t4)) % 0.30/0.55 (step @p20 :rule cong :premises (@p19 @p18) :args ((= @t4 @t47))) % 0.30/0.55 (step @p21 :rule symm :premises (@p20)) % 0.30/0.55 (step @p22 :rule eq_resolve :premises (@p19 @p21)) % 0.30/0.55 (step @p23 :rule refl :args (@t48)) % 0.30/0.55 (step @p24 :rule refl :args (@t49)) % 0.30/0.55 (step @p25 :rule refl :args (@t10)) % 0.30/0.55 (step @p26 :rule cong :premises (@p25 @p24) :args ((= @t10 @t49))) % 0.30/0.55 (step @p27 :rule symm :premises (@p26)) % 0.30/0.55 (step @p28 :rule eq_resolve :premises (@p25 @p27)) % 0.30/0.55 (step @p29 :rule cong :premises (@p28) :args (@t51)) % 0.30/0.55 (step @p30 :rule nary_cong :premises (@p29 @p23 @p22) :args (@t52)) % 0.30/0.55 (step @p31 :rule cong :premises (@p30) :args ((forall @t13 @t52))) % 0.30/0.55 (step @p32 :rule aci_norm :args ((= (or (or @t51 @t48) @t4) @t52))) % 0.30/0.55 (step @p33 :rule bool-double-not-elim :args (@t48)) % 0.30/0.55 (step @p34 :rule refl :args (@t51)) % 0.30/0.55 (step @p35 :rule nary_cong :premises (@p34 @p33) :args ((or @t51 (not @t53)))) % 0.30/0.55 (step @p36 :rule bool-and-de-morgan :args (@t10 @t53 true)) % 0.30/0.55 (step @p37 :rule trans :premises (@p36 @p35)) % 0.30/0.55 (step @p38 :rule nary_cong :premises (@p37 @p19) :args ((or (not @t54) @t4))) % 0.30/0.55 (step @p39 :rule trans :premises (@p38 @p32)) % 0.30/0.55 (step @p40 :rule bool-impl-elim :args (@t54 @t4)) % 0.30/0.55 (step @p41 :rule trans :premises (@p40 @p39)) % 0.30/0.55 (step @p42 :rule cong :premises (@p41) :args ((forall @t13 (=> @t54 @t4)))) % 0.30/0.55 (step @p43 :rule trans :premises (@p42 @p31)) % 0.30/0.55 (step @p44 :rule refl :args (@t4)) % 0.30/0.55 (step @p45 :rule eq-symm :args (@t1 @t5)) % 0.30/0.55 (step @p46 :rule eq-symm :args (@t2 @t6)) % 0.30/0.55 (step @p47 :rule nary_cong :premises (@p46 @p45) :args (@t7)) % 0.30/0.55 (step @p48 :rule cong :premises (@p47) :args (@t8)) % 0.30/0.55 (step @p49 :rule refl :args (@t10)) % 0.30/0.55 (step @p50 :rule nary_cong :premises (@p49 @p48) :args (@t11)) % 0.30/0.55 (step @p51 :rule cong :premises (@p50 @p44) :args (@t12)) % 0.30/0.55 (step @p52 :rule cong :premises (@p51) :args (@t14)) % 0.30/0.55 (step @p53 :rule trans :premises (@p52 @p43)) % 0.30/0.55 (step @p54 :rule refl :args (@t33)) % 0.30/0.55 (step @p55 :rule refl :args (@t34)) % 0.30/0.55 (step @p56 :rule refl :args (@t18)) % 0.30/0.55 (step @p57 :rule cong :premises (@p56 @p55) :args ((= @t18 @t34))) % 0.30/0.55 (step @p58 :rule symm :premises (@p57)) % 0.30/0.55 (step @p59 :rule eq_resolve :premises (@p56 @p58)) % 0.30/0.55 (step @p60 :rule refl :args (@t35)) % 0.30/0.55 (step @p61 :rule refl :args (@t20)) % 0.30/0.55 (step @p62 :rule cong :premises (@p61 @p60) :args ((= @t20 @t35))) % 0.30/0.55 (step @p63 :rule symm :premises (@p62)) % 0.30/0.55 (step @p64 :rule eq_resolve :premises (@p61 @p63)) % 0.30/0.55 (step @p65 :rule cong :premises (@p64) :args (@t55)) % 0.30/0.55 (step @p66 :rule nary_cong :premises (@p65 @p59 @p54) :args (@t56)) % 0.30/0.55 (step @p67 :rule cong :premises (@p66) :args ((forall @t22 @t56))) % 0.30/0.55 (step @p68 :rule aci_norm :args ((= (or @t55 @t57) @t56))) % 0.30/0.55 (step @p69 :rule bool-impl-elim :args (@t20 @t57)) % 0.30/0.55 (step @p70 :rule trans :premises (@p69 @p68)) % 0.30/0.55 (step @p71 :rule cong :premises (@p70) :args ((forall @t22 (=> @t20 @t57)))) % 0.30/0.55 (step @p72 :rule trans :premises (@p71 @p67)) % 0.30/0.55 (step @p73 :rule eq-symm :args (@t15 @t5)) % 0.30/0.55 (step @p74 :rule eq-symm :args (@t16 @t6)) % 0.30/0.55 (step @p75 :rule nary_cong :premises (@p74 @p73) :args (@t17)) % 0.30/0.55 (step @p76 :rule refl :args (@t18)) % 0.30/0.55 (step @p77 :rule nary_cong :premises (@p76 @p75) :args (@t19)) % 0.30/0.55 (step @p78 :rule refl :args (@t20)) % 0.30/0.55 (step @p79 :rule cong :premises (@p78 @p77) :args (@t21)) % 0.30/0.55 (step @p80 :rule cong :premises (@p79) :args (@t23)) % 0.30/0.55 (step @p81 :rule trans :premises (@p80 @p72)) % 0.30/0.55 (step @p82 :rule cong :premises (@p81 @p53) :args (@t24)) % 0.30/0.55 (step @p83 :rule cong :premises (@p82) :args (@t26)) % 0.30/0.55 (step @p84 :rule trans :premises (@p83 @p17)) % 0.30/0.55 (step @p85 :rule cong :premises (@p84) :args (@t27)) % 0.30/0.55 (step @p86 :rule eq_resolve :premises (@p1 @p85)) % 0.30/0.55 (step @p87 :rule refl :args (@t74)) % 0.30/0.55 (step @p88 :rule bool-double-not-elim :args (@t58)) % 0.30/0.55 (step @p89 :rule nary_cong :premises (@p88 @p87) :args ((or (not @t75) @t74))) % 0.30/0.55 (step @p90 :rule refl :args (@t62)) % 0.30/0.55 (step @p91 :rule refl :args (@t65)) % 0.30/0.55 (step @p92 :rule refl :args (@t68)) % 0.30/0.55 (step @p93 :rule eq-symm :args (@t63 @t15)) % 0.30/0.55 (step @p94 :rule eq-symm :args (@t64 @t16)) % 0.30/0.55 (step @p95 :rule nary_cong :premises (@p94 @p93) :args (@t76)) % 0.30/0.55 (step @p96 :rule refl :args (@t69)) % 0.30/0.55 (step @p97 :rule refl :args (@t70)) % 0.30/0.55 (step @p98 :rule nary_cong :premises (@p97 @p96 @p95) :args (@t77)) % 0.30/0.55 (step @p99 :rule cong :premises (@p98) :args (@t78)) % 0.30/0.55 (step @p100 :rule cong :premises (@p99) :args (@t79)) % 0.30/0.55 (step @p101 :rule nary_cong :premises (@p100 @p92 @p91 @p90) :args (@t80)) % 0.30/0.55 (step @p102 :rule cong :premises (@p101) :args (@t81)) % 0.30/0.55 (step @p103 :rule refl :args (@t75)) % 0.30/0.55 (step @p104 :rule cong :premises (@p103 @p102) :args ((=> @t75 @t81))) % 0.30/0.55 (assume-push @p146 @t75) % 0.30/0.55 (step @p106 :rule skolemize :premises (@p86)) % 0.30/0.55 (step-pop @p147 :rule scope :premises (@p106)) % 0.30/0.55 (step @p107 :rule process_scope :premises (@p147) :args (@t81)) % 0.30/0.55 (step @p109 :rule eq_resolve :premises (@p107 @p104)) % 0.30/0.55 (step @p110 :rule implies_elim :premises (@p109)) % 0.30/0.55 (step @p111 :rule eq_resolve :premises (@p110 @p89)) % 0.30/0.55 (step @p112 :rule chain_m_resolution :premises (@p111 @p86) :args (@t74 @t82 (@list @t58))) % 0.30/0.55 (step @p113 :rule bool-double-not-elim :args (@t71)) % 0.30/0.55 (step @p114 :rule refl :args (@t73)) % 0.30/0.55 (step @p115 :rule nary_cong :premises (@p114 @p113) :args ((or @t73 (not @t72)))) % 0.30/0.55 (step @p116 :rule cnf_or_neg :args (@t73 0)) % 0.30/0.55 (step @p117 :rule eq_resolve :premises (@p116 @p115)) % 0.30/0.55 (step @p118 :rule reordering :premises (@p117) :args ((or @t71 @t73))) % 0.30/0.55 (step @p119 :rule chain_m_resolution :premises (@p118 @p112) :args (@t71 @t82 @t83)) % 0.30/0.55 (step @p120 :rule cnf_or_neg :args (@t73 3)) % 0.30/0.55 (step @p121 :rule chain_m_resolution :premises (@p120 @p112) :args ((not @t62) @t82 @t83)) % 0.30/0.55 (step @p122 :rule cnf_or_neg :args (@t73 2)) % 0.30/0.55 (step @p123 :rule chain_m_resolution :premises (@p122 @p112) :args ((not @t65) @t82 @t83)) % 0.30/0.55 (step @p124 :rule bool-double-not-elim :args (@t67)) % 0.30/0.55 (step @p125 :rule nary_cong :premises (@p114 @p124) :args ((or @t73 (not @t68)))) % 0.30/0.55 (step @p126 :rule cnf_or_neg :args (@t73 1)) % 0.30/0.55 (step @p127 :rule eq_resolve :premises (@p126 @p125)) % 0.30/0.55 (step @p128 :rule reordering :premises (@p127) :args ((or @t67 @t73))) % 0.30/0.55 (step @p129 :rule chain_m_resolution :premises (@p128 @p112) :args (@t67 @t82 @t83)) % 0.30/0.55 (step @p130 :rule cnf_or_pos :args (@t84)) % 0.30/0.55 (step @p131 :rule reordering :premises (@p130) :args ((or @t68 @t65 @t62 @t85))) % 0.30/0.55 (step @p132 :rule chain_m_resolution :premises (@p131 @p129 @p123 @p121) :args (@t85 (@list false true true) (@list @t67 @t65 @t62))) % 0.30/0.55 (step @p133 :rule eq-symm :args (@t59 @t63)) % 0.30/0.55 (step @p134 :rule eq-symm :args (@t60 @t64)) % 0.30/0.55 (step @p135 :rule nary_cong :premises (@p134 @p133) :args (@t86)) % 0.30/0.55 (step @p136 :rule nary_cong :premises (@p92 @p90 @p135) :args (@t87)) % 0.30/0.55 (step @p137 :rule refl :args (@t71)) % 0.30/0.55 (step @p138 :rule cong :premises (@p137 @p136) :args ((=> @t71 @t87))) % 0.30/0.55 (assume-push @p148 @t71) % 0.30/0.55 (step @p140 :rule instantiate :premises (@p119) :args ((@list @t60 @t59))) % 0.30/0.55 (step-pop @p149 :rule scope :premises (@p140)) % 0.30/0.55 (step @p141 :rule process_scope :premises (@p149) :args (@t87)) % 0.30/0.55 (step @p143 :rule eq_resolve :premises (@p141 @p138)) % 0.30/0.55 (step @p144 :rule implies_elim :premises (@p143)) % 0.30/0.55 (step @p145 false :rule chain_m_resolution :premises (@p144 @p132 @p119) :args (false (@list true false) (@list @t84 @t71))) % 0.30/0.55 ) % 0.30/0.55 % SZS output end Proof % 0.33/0.55 % cvc5 exiting %------------------------------------------------------------------------------