%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU852^5 : 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 : n022.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 08:53:25 AM UTC 2026 % Result : Theorem 0.39s 0.56s % Output : Proof 0.39s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU852^5 : TPTP v9.2.1. Released v4.0.0. % 0.13/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n022.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 17:55:38 EDT 2026 % 0.17/0.34 % CPUTime : % 0.30/0.49 %----Proving TH0 % 0.39/0.56 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.39/0.56 % SZS status Theorem % 0.39/0.56 % SZS output start Proof % 0.39/0.56 ( % 0.39/0.56 (declare-sort tptp.a 0) % 0.39/0.56 (define @t1 () (@var "Xx" tptp.a)) % 0.39/0.56 (define @t2 () (@var "T" (-> tptp.a Bool))) % 0.39/0.56 (define @t3 () (_ @t2 @t1)) % 0.39/0.56 (define @t4 () (not @t3)) % 0.39/0.56 (define @t5 () (@var "U" (-> tptp.a Bool))) % 0.39/0.56 (define @t6 () (_ @t5 @t1)) % 0.39/0.56 (define @t7 () (@var "S" (-> tptp.a Bool))) % 0.39/0.56 (define @t8 () (_ @t7 @t1)) % 0.39/0.56 (define @t9 () (and @t8 @t6 @t4)) % 0.39/0.56 (define @t10 () (@list @t1)) % 0.39/0.56 (define @t11 () (forall @t10 (=> @t9 @t3))) % 0.39/0.56 (define @t12 () (forall @t10 (=> @t8 @t3))) % 0.39/0.56 (define @t13 () (= @t12 @t11)) % 0.39/0.56 (define @t14 () (forall @t10 (=> @t3 @t6))) % 0.39/0.56 (define @t15 () (forall @t10 (=> @t8 @t6))) % 0.39/0.56 (define @t16 () (and @t15 @t14)) % 0.39/0.56 (define @t17 () (=> @t16 @t13)) % 0.39/0.56 (define @t18 () (@list @t7 @t2 @t5)) % 0.39/0.56 (define @t19 () (forall @t18 @t17)) % 0.39/0.56 (define @t20 () (not @t19)) % 0.39/0.56 (define @t21 () (_ @t2 @t1)) % 0.39/0.56 (define @t22 () (_ @t5 @t1)) % 0.39/0.56 (define @t23 () (_ @t7 @t1)) % 0.39/0.56 (define @t24 () (not @t23)) % 0.39/0.56 (define @t25 () (= (forall @t10 (or @t24 @t21)) (forall @t10 (or @t24 (not @t22) @t21)))) % 0.39/0.56 (define @t26 () (forall @t10 (or (not @t21) @t22))) % 0.39/0.56 (define @t27 () (not @t26)) % 0.39/0.56 (define @t28 () (forall @t10 (or @t24 @t22))) % 0.39/0.56 (define @t29 () (not @t28)) % 0.39/0.56 (define @t30 () (or @t29 @t27 @t25)) % 0.39/0.56 (define @t31 () (and @t28 @t26)) % 0.39/0.56 (define @t32 () (not @t6)) % 0.39/0.56 (define @t33 () (not @t8)) % 0.39/0.56 (define @t34 () (or @t33 @t32 @t3)) % 0.39/0.56 (define @t35 () (not @t4)) % 0.39/0.56 (define @t36 () (or @t33 @t32 @t35)) % 0.39/0.56 (define @t37 () (or @t33 @t3)) % 0.39/0.56 (define @t38 () (or @t4 @t6)) % 0.39/0.56 (define @t39 () (or @t33 @t6)) % 0.39/0.56 (define @t40 () (forall @t18 @t30)) % 0.39/0.56 (define @t41 () (@quantifiers_skolemize @t40 1)) % 0.39/0.56 (define @t42 () (_ @t41 @t1)) % 0.39/0.56 (define @t43 () (@quantifiers_skolemize @t40 2)) % 0.39/0.56 (define @t44 () (_ @t43 @t1)) % 0.39/0.56 (define @t45 () (@quantifiers_skolemize @t40 0)) % 0.39/0.56 (define @t46 () (not (_ @t45 @t1))) % 0.39/0.56 (define @t47 () (forall @t10 (or @t46 (not @t44) @t42))) % 0.39/0.56 (define @t48 () (forall @t10 (or @t46 @t42))) % 0.39/0.56 (define @t49 () (= @t48 @t47)) % 0.39/0.56 (define @t50 () (forall @t10 (or @t46 @t44))) % 0.39/0.56 (define @t51 () (not @t50)) % 0.39/0.56 (define @t52 () (or @t51 (not (forall @t10 (or (not @t42) @t44))) @t49)) % 0.39/0.56 (define @t53 () (@list true)) % 0.39/0.56 (define @t54 () (@list @t52)) % 0.39/0.56 (define @t55 () (@quantifiers_skolemize @t47 0)) % 0.39/0.56 (define @t56 () (_ @t41 @t55)) % 0.39/0.56 (define @t57 () (_ @t45 @t55)) % 0.39/0.56 (define @t58 () (not @t57)) % 0.39/0.56 (define @t59 () (or @t58 (not (_ @t43 @t55)) @t56)) % 0.39/0.56 (define @t60 () (not @t59)) % 0.39/0.56 (define @t61 () (not @t47)) % 0.39/0.56 (define @t62 () (or @t58 @t56)) % 0.39/0.56 (define @t63 () (not @t48)) % 0.39/0.56 (define @t64 () (@quantifiers_skolemize @t48 0)) % 0.39/0.56 (define @t65 () (_ @t41 @t64)) % 0.39/0.56 (define @t66 () (_ @t45 @t64)) % 0.39/0.56 (define @t67 () (not @t66)) % 0.39/0.56 (define @t68 () (or @t67 @t65)) % 0.39/0.56 (define @t69 () (not @t68)) % 0.39/0.56 (define @t70 () (@list @t68)) % 0.39/0.56 (define @t71 () (@list @t64)) % 0.39/0.56 (define @t72 () (_ @t43 @t64)) % 0.39/0.56 (define @t73 () (not @t72)) % 0.39/0.56 (define @t74 () (or @t67 @t73 @t65)) % 0.39/0.56 (define @t75 () (or @t67 @t72)) % 0.39/0.56 (assume @p1 @t20) % 0.39/0.56 (assume @p2 true) % 0.39/0.56 (step @p3 :rule aci_norm :args ((= (or (or @t29 @t27) @t25) @t30))) % 0.39/0.56 (step @p4 :rule refl :args (@t25)) % 0.39/0.56 (step @p5 :rule bool-and-de-morgan :args (@t28 @t26 true)) % 0.39/0.56 (step @p6 :rule nary_cong :premises (@p5 @p4) :args ((or (not @t31) @t25))) % 0.39/0.56 (step @p7 :rule trans :premises (@p6 @p3)) % 0.39/0.56 (step @p8 :rule bool-impl-elim :args (@t31 @t25)) % 0.39/0.56 (step @p9 :rule trans :premises (@p8 @p7)) % 0.39/0.56 (step @p10 :rule cong :premises (@p9) :args ((forall @t18 (=> @t31 @t25)))) % 0.39/0.56 (step @p11 :rule refl :args (@t21)) % 0.39/0.56 (step @p12 :rule refl :args (@t3)) % 0.39/0.56 (step @p13 :rule cong :premises (@p12 @p11) :args ((= @t3 @t21))) % 0.39/0.56 (step @p14 :rule symm :premises (@p13)) % 0.39/0.56 (step @p15 :rule eq_resolve :premises (@p12 @p14)) % 0.39/0.56 (step @p16 :rule refl :args (@t22)) % 0.39/0.56 (step @p17 :rule refl :args (@t6)) % 0.39/0.56 (step @p18 :rule cong :premises (@p17 @p16) :args ((= @t6 @t22))) % 0.39/0.56 (step @p19 :rule symm :premises (@p18)) % 0.39/0.56 (step @p20 :rule eq_resolve :premises (@p17 @p19)) % 0.39/0.56 (step @p21 :rule cong :premises (@p20) :args (@t32)) % 0.39/0.56 (step @p22 :rule refl :args (@t23)) % 0.39/0.56 (step @p23 :rule refl :args (@t8)) % 0.39/0.56 (step @p24 :rule cong :premises (@p23 @p22) :args ((= @t8 @t23))) % 0.39/0.56 (step @p25 :rule symm :premises (@p24)) % 0.39/0.56 (step @p26 :rule eq_resolve :premises (@p23 @p25)) % 0.39/0.56 (step @p27 :rule cong :premises (@p26) :args (@t33)) % 0.39/0.56 (step @p28 :rule nary_cong :premises (@p27 @p21 @p15) :args (@t34)) % 0.39/0.56 (step @p29 :rule cong :premises (@p28) :args ((forall @t10 @t34))) % 0.39/0.56 (step @p30 :rule aci_norm :args ((= (or @t34 @t3) @t34))) % 0.39/0.56 (step @p31 :rule bool-double-not-elim :args (@t3)) % 0.39/0.56 (step @p32 :rule refl :args (@t32)) % 0.39/0.56 (step @p33 :rule refl :args (@t33)) % 0.39/0.56 (step @p34 :rule nary_cong :premises (@p33 @p32 @p31) :args (@t36)) % 0.39/0.56 (step @p35 :rule aci_norm :args ((= (or @t33 (or @t32 @t35)) @t36))) % 0.39/0.56 (step @p36 :rule trans :premises (@p35 @p34)) % 0.39/0.56 (step @p37 :rule bool-and-de-morgan :args (@t6 @t4 true)) % 0.39/0.56 (step @p38 :rule nary_cong :premises (@p33 @p37) :args ((or @t33 (not (and @t6 @t4))))) % 0.39/0.56 (step @p39 :rule bool-and-de-morgan :args (@t8 @t6 (and @t4))) % 0.39/0.56 (step @p40 :rule trans :premises (@p39 @p38)) % 0.39/0.56 (step @p41 :rule trans :premises (@p40 @p36)) % 0.39/0.56 (step @p42 :rule nary_cong :premises (@p41 @p12) :args ((or (not @t9) @t3))) % 0.39/0.56 (step @p43 :rule trans :premises (@p42 @p30)) % 0.39/0.56 (step @p44 :rule bool-impl-elim :args (@t9 @t3)) % 0.39/0.56 (step @p45 :rule trans :premises (@p44 @p43)) % 0.39/0.56 (step @p46 :rule cong :premises (@p45) :args (@t11)) % 0.39/0.56 (step @p47 :rule trans :premises (@p46 @p29)) % 0.39/0.56 (step @p48 :rule nary_cong :premises (@p27 @p15) :args (@t37)) % 0.39/0.56 (step @p49 :rule cong :premises (@p48) :args ((forall @t10 @t37))) % 0.39/0.56 (step @p50 :rule bool-impl-elim :args (@t8 @t3)) % 0.39/0.56 (step @p51 :rule cong :premises (@p50) :args (@t12)) % 0.39/0.56 (step @p52 :rule trans :premises (@p51 @p49)) % 0.39/0.56 (step @p53 :rule cong :premises (@p52 @p47) :args (@t13)) % 0.39/0.56 (step @p54 :rule cong :premises (@p15) :args (@t4)) % 0.39/0.56 (step @p55 :rule nary_cong :premises (@p54 @p20) :args (@t38)) % 0.39/0.56 (step @p56 :rule cong :premises (@p55) :args ((forall @t10 @t38))) % 0.39/0.56 (step @p57 :rule bool-impl-elim :args (@t3 @t6)) % 0.39/0.56 (step @p58 :rule cong :premises (@p57) :args (@t14)) % 0.39/0.56 (step @p59 :rule trans :premises (@p58 @p56)) % 0.39/0.56 (step @p60 :rule nary_cong :premises (@p27 @p20) :args (@t39)) % 0.39/0.56 (step @p61 :rule cong :premises (@p60) :args ((forall @t10 @t39))) % 0.39/0.56 (step @p62 :rule bool-impl-elim :args (@t8 @t6)) % 0.39/0.56 (step @p63 :rule cong :premises (@p62) :args (@t15)) % 0.39/0.56 (step @p64 :rule trans :premises (@p63 @p61)) % 0.39/0.56 (step @p65 :rule nary_cong :premises (@p64 @p59) :args (@t16)) % 0.39/0.56 (step @p66 :rule cong :premises (@p65 @p53) :args (@t17)) % 0.39/0.56 (step @p67 :rule cong :premises (@p66) :args (@t19)) % 0.39/0.56 (step @p68 :rule trans :premises (@p67 @p10)) % 0.39/0.56 (step @p69 :rule cong :premises (@p68) :args (@t20)) % 0.39/0.56 (step @p70 :rule eq_resolve :premises (@p1 @p69)) % 0.39/0.56 (step @p71 :rule skolemize :premises (@p70)) % 0.39/0.56 (step @p72 :rule cnf_or_neg :args (@t52 2)) % 0.39/0.56 (step @p73 :rule chain_m_resolution :premises (@p72 @p71) :args ((not @t49) @t53 @t54)) % 0.39/0.56 (step @p74 :rule cnf_equiv_neg2 :args (@t49)) % 0.39/0.56 (step @p75 :rule refl :args (@t60)) % 0.39/0.56 (step @p76 :rule bool-double-not-elim :args (@t47)) % 0.39/0.56 (step @p77 :rule nary_cong :premises (@p76 @p75) :args ((or (not @t61) @t60))) % 0.39/0.56 (assume-push @p141 @t61) % 0.39/0.56 (step @p79 :rule skolemize :premises (@p141)) % 0.39/0.56 (step-pop @p142 :rule scope :premises (@p79)) % 0.39/0.56 (step @p80 :rule process_scope :premises (@p142) :args (@t60)) % 0.39/0.56 (step @p82 :rule implies_elim :premises (@p80)) % 0.39/0.56 (step @p83 :rule eq_resolve :premises (@p82 @p77)) % 0.39/0.56 (step @p84 :rule bool-double-not-elim :args (@t57)) % 0.39/0.56 (step @p85 :rule refl :args (@t59)) % 0.39/0.56 (step @p86 :rule nary_cong :premises (@p85 @p84) :args ((or @t59 (not @t58)))) % 0.39/0.56 (step @p87 :rule cnf_or_neg :args (@t59 0)) % 0.39/0.56 (step @p88 :rule eq_resolve :premises (@p87 @p86)) % 0.39/0.56 (step @p89 :rule reordering :premises (@p88) :args ((or @t57 @t59))) % 0.39/0.56 (step @p90 :rule cnf_or_neg :args (@t59 2)) % 0.39/0.56 (step @p91 :rule cnf_or_pos :args (@t62)) % 0.39/0.56 (step @p92 :rule reordering :premises (@p91) :args ((or @t58 @t56 (not @t62)))) % 0.39/0.56 (assume-push @p143 @t48) % 0.39/0.56 (step @p94 :rule instantiate :premises (@p143) :args ((@list @t55))) % 0.39/0.56 (step-pop @p144 :rule scope :premises (@p94)) % 0.39/0.56 (step @p95 :rule process_scope :premises (@p144) :args (@t62)) % 0.39/0.56 (step @p97 :rule implies_elim :premises (@p95)) % 0.39/0.56 (step @p98 :rule chain_m_resolution :premises (@p97 @p92 @p90 @p89 @p83 @p74 @p73) :args (@t63 (@list true true false true true true) (@list @t62 @t56 @t57 @t59 @t47 @t49))) % 0.39/0.56 (step @p99 :rule refl :args (@t69)) % 0.39/0.56 (step @p100 :rule bool-double-not-elim :args (@t48)) % 0.39/0.56 (step @p101 :rule nary_cong :premises (@p100 @p99) :args ((or (not @t63) @t69))) % 0.39/0.56 (assume-push @p145 @t63) % 0.39/0.56 (step @p103 :rule skolemize :premises (@p145)) % 0.39/0.56 (step-pop @p146 :rule scope :premises (@p103)) % 0.39/0.56 (step @p104 :rule process_scope :premises (@p146) :args (@t69)) % 0.39/0.56 (step @p106 :rule implies_elim :premises (@p104)) % 0.39/0.56 (step @p107 :rule eq_resolve :premises (@p106 @p101)) % 0.39/0.56 (step @p108 :rule chain_m_resolution :premises (@p107 @p98) :args (@t69 @t53 (@list @t48))) % 0.39/0.56 (step @p109 :rule bool-double-not-elim :args (@t66)) % 0.39/0.56 (step @p110 :rule refl :args (@t68)) % 0.39/0.56 (step @p111 :rule nary_cong :premises (@p110 @p109) :args ((or @t68 (not @t67)))) % 0.39/0.56 (step @p112 :rule cnf_or_neg :args (@t68 0)) % 0.39/0.56 (step @p113 :rule eq_resolve :premises (@p112 @p111)) % 0.39/0.56 (step @p114 :rule reordering :premises (@p113) :args ((or @t66 @t68))) % 0.39/0.56 (step @p115 :rule chain_m_resolution :premises (@p114 @p108) :args (@t66 @t53 @t70)) % 0.39/0.56 (step @p116 :rule cnf_or_neg :args (@t68 1)) % 0.39/0.56 (step @p117 :rule chain_m_resolution :premises (@p116 @p108) :args ((not @t65) @t53 @t70)) % 0.39/0.56 (step @p118 :rule cnf_equiv_neg1 :args (@t49)) % 0.39/0.56 (step @p119 :rule reordering :premises (@p118) :args ((or @t48 @t47 @t49))) % 0.39/0.56 (step @p120 :rule chain_m_resolution :premises (@p119 @p98 @p73) :args (@t47 (@list true true) (@list @t48 @t49))) % 0.39/0.56 (assume-push @p147 @t47) % 0.39/0.56 (step @p122 :rule instantiate :premises (@p147) :args (@t71)) % 0.39/0.56 (step-pop @p148 :rule scope :premises (@p122)) % 0.39/0.56 (step @p123 :rule process_scope :premises (@p148) :args (@t74)) % 0.39/0.56 (step @p125 :rule implies_elim :premises (@p123)) % 0.39/0.56 (step @p126 :rule chain_m_resolution :premises (@p125 @p120) :args (@t74 (@list false) (@list @t47))) % 0.39/0.56 (step @p127 :rule bool-double-not-elim :args (@t50)) % 0.39/0.56 (step @p128 :rule refl :args (@t52)) % 0.39/0.56 (step @p129 :rule nary_cong :premises (@p128 @p127) :args ((or @t52 (not @t51)))) % 0.39/0.56 (step @p130 :rule cnf_or_neg :args (@t52 0)) % 0.39/0.56 (step @p131 :rule eq_resolve :premises (@p130 @p129)) % 0.39/0.56 (step @p132 :rule reordering :premises (@p131) :args ((or @t50 @t52))) % 0.39/0.56 (step @p133 :rule chain_m_resolution :premises (@p132 @p71) :args (@t50 @t53 @t54)) % 0.39/0.56 (step @p134 :rule instantiate :premises (@p133) :args (@t71)) % 0.39/0.56 (step @p135 :rule cnf_or_pos :args (@t75)) % 0.39/0.56 (step @p136 :rule reordering :premises (@p135) :args ((or @t67 @t72 (not @t75)))) % 0.39/0.56 (step @p137 :rule chain_m_resolution :premises (@p136 @p115 @p134) :args (@t72 (@list false false) (@list @t66 @t75))) % 0.39/0.56 (step @p138 :rule cnf_or_pos :args (@t74)) % 0.39/0.56 (step @p139 :rule reordering :premises (@p138) :args ((or @t67 @t65 @t73 (not @t74)))) % 0.39/0.56 (step @p140 false :rule chain_m_resolution :premises (@p139 @p137 @p126 @p117 @p115) :args (false (@list false false true false) (@list @t72 @t74 @t65 @t66))) % 0.39/0.56 ) % 0.39/0.56 % SZS output end Proof % 0.39/0.56 % cvc5 exiting %------------------------------------------------------------------------------