%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU515^2 : TPTP v9.2.1. Released v3.7.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n013.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 08:52:01 AM UTC 2026 % Result : Theorem 0.31s 0.55s % Output : Proof 0.31s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU515^2 : TPTP v9.2.1. Released v3.7.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n013.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 17:40:00 EDT 2026 % 0.17/0.34 % CPUTime : % 0.31/0.49 %----Proving TH0 % 0.31/0.55 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.31/0.55 % SZS status Theorem % 0.31/0.55 % SZS output start Proof % 0.31/0.55 ( % 0.31/0.55 (declare-sort $$unsorted 0) % 0.31/0.55 (declare-const tptp.setadjoinAx Bool) % 0.31/0.55 (declare-const tptp.setadjoin (-> $$unsorted $$unsorted $$unsorted)) % 0.31/0.55 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.31/0.55 (define @t1 () (@var "A" $$unsorted)) % 0.31/0.55 (define @t2 () (@var "Xy" $$unsorted)) % 0.31/0.55 (define @t3 () (_ tptp.in @t2)) % 0.31/0.55 (define @t4 () (_ @t3 @t1)) % 0.31/0.55 (define @t5 () (@var "Xx" $$unsorted)) % 0.31/0.55 (define @t6 () (= @t2 @t5)) % 0.31/0.55 (define @t7 () (or @t6 @t4)) % 0.31/0.55 (define @t8 () (_ (_ tptp.setadjoin @t5) @t1)) % 0.31/0.55 (define @t9 () (_ @t3 @t8)) % 0.31/0.55 (define @t10 () (= @t9 @t7)) % 0.31/0.55 (define @t11 () (@list @t5 @t1 @t2)) % 0.31/0.55 (define @t12 () (forall @t11 @t10)) % 0.31/0.55 (define @t13 () (= tptp.setadjoinAx @t12)) % 0.31/0.55 (define @t14 () (@var "Xphi" Bool)) % 0.31/0.55 (define @t15 () (=> @t4 @t14)) % 0.31/0.55 (define @t16 () (=> @t15 @t14)) % 0.31/0.55 (define @t17 () (=> @t6 @t14)) % 0.31/0.55 (define @t18 () (=> @t17 @t16)) % 0.31/0.55 (define @t19 () (@list @t14)) % 0.31/0.55 (define @t20 () (forall @t19 @t18)) % 0.31/0.55 (define @t21 () (=> @t9 @t20)) % 0.31/0.55 (define @t22 () (forall @t11 @t21)) % 0.31/0.55 (define @t23 () (=> tptp.setadjoinAx @t22)) % 0.31/0.55 (define @t24 () (not @t23)) % 0.31/0.55 (define @t25 () (tptp.in @t2 @t1)) % 0.31/0.55 (define @t26 () (= @t5 @t2)) % 0.31/0.55 (define @t27 () (tptp.setadjoin @t5 @t1)) % 0.31/0.55 (define @t28 () (tptp.in @t2 @t27)) % 0.31/0.55 (define @t29 () (forall @t11 (or (not @t28) @t26 @t25))) % 0.31/0.55 (define @t30 () (or @t26 @t4)) % 0.31/0.55 (define @t31 () (= @t9 @t30)) % 0.31/0.55 (define @t32 () (=> tptp.setadjoinAx @t29)) % 0.31/0.55 (define @t33 () (not @t9)) % 0.31/0.55 (define @t34 () (or @t33 @t26 @t25)) % 0.31/0.55 (define @t35 () (or @t26 @t25)) % 0.31/0.55 (define @t36 () (not false)) % 0.31/0.55 (define @t37 () (and @t25 @t36)) % 0.31/0.55 (define @t38 () (and @t26 @t36)) % 0.31/0.55 (define @t39 () (or @t38 @t37)) % 0.31/0.55 (define @t40 () (or @t38 @t37 false)) % 0.31/0.55 (define @t41 () (not @t14)) % 0.31/0.55 (define @t42 () (and @t25 @t41)) % 0.31/0.55 (define @t43 () (and @t26 @t41)) % 0.31/0.55 (define @t44 () (or @t14 @t43 @t42 @t14)) % 0.31/0.55 (define @t45 () (or @t43 @t42 @t14)) % 0.31/0.55 (define @t46 () (and @t4 @t41)) % 0.31/0.55 (define @t47 () (or @t43 @t46 @t14)) % 0.31/0.55 (define @t48 () (=> @t26 @t14)) % 0.31/0.55 (define @t49 () (@quantifiers_skolemize @t29 1)) % 0.31/0.55 (define @t50 () (@quantifiers_skolemize @t29 0)) % 0.31/0.55 (define @t51 () (@quantifiers_skolemize @t29 2)) % 0.31/0.55 (define @t52 () (tptp.in @t51 (tptp.setadjoin @t50 @t49))) % 0.31/0.55 (define @t53 () (tptp.in @t51 @t49)) % 0.31/0.55 (define @t54 () (= @t50 @t51)) % 0.31/0.55 (define @t55 () (not @t52)) % 0.31/0.55 (define @t56 () (or @t55 @t54 @t53)) % 0.31/0.55 (define @t57 () (@list true)) % 0.31/0.55 (define @t58 () (@list @t56)) % 0.31/0.55 (define @t59 () (or @t54 @t53)) % 0.31/0.55 (define @t60 () (not @t59)) % 0.31/0.55 (define @t61 () (= @t52 @t59)) % 0.31/0.55 (assume @p1 @t13) % 0.31/0.55 (assume @p2 @t24) % 0.31/0.55 (assume @p3 true) % 0.31/0.55 (step @p4 :rule refl :args (@t29)) % 0.31/0.55 (step @p5 :rule refl :args (@t25)) % 0.31/0.55 (step @p6 :rule refl :args (@t4)) % 0.31/0.55 (step @p7 :rule cong :premises (@p6 @p5) :args ((= @t4 @t25))) % 0.31/0.55 (step @p8 :rule symm :premises (@p7)) % 0.31/0.55 (step @p9 :rule eq_resolve :premises (@p6 @p8)) % 0.31/0.55 (step @p10 :rule refl :args (@t26)) % 0.31/0.55 (step @p11 :rule nary_cong :premises (@p10 @p9) :args (@t30)) % 0.31/0.55 (step @p12 :rule refl :args ((tptp.in @t2 @t8))) % 0.31/0.55 (step @p13 :rule refl :args (@t27)) % 0.31/0.55 (step @p14 :rule refl :args (@t2)) % 0.31/0.55 (step @p15 :rule cong :premises (@p14 @p13) :args (@t28)) % 0.31/0.55 (step @p16 :rule trans :premises (@p15 @p12)) % 0.31/0.55 (step @p17 :rule refl :args (@t3)) % 0.31/0.55 (step @p18 :rule ho_cong :premises (@p17 @p13)) % 0.31/0.55 (step @p19 :rule cong :premises (@p18 @p16) :args ((= (_ @t3 @t27) @t28))) % 0.31/0.55 (step @p20 :rule symm :premises (@p19)) % 0.31/0.55 (step @p21 :rule refl :args (@t9)) % 0.31/0.55 (step @p22 :rule eq_resolve :premises (@p21 @p20)) % 0.31/0.55 (step @p23 :rule refl :args (@t8)) % 0.31/0.55 (step @p24 :rule cong :premises (@p23 @p13) :args ((= @t8 @t27))) % 0.31/0.55 (step @p25 :rule symm :premises (@p24)) % 0.31/0.55 (step @p26 :rule eq_resolve :premises (@p23 @p25)) % 0.31/0.55 (step @p27 :rule ho_cong :premises (@p17 @p26)) % 0.31/0.55 (step @p28 :rule trans :premises (@p27 @p22)) % 0.31/0.55 (step @p29 :rule cong :premises (@p28 @p11) :args (@t31)) % 0.31/0.55 (step @p30 :rule cong :premises (@p29) :args ((forall @t11 @t31))) % 0.31/0.55 (step @p31 :rule refl :args (@t4)) % 0.31/0.55 (step @p32 :rule eq-symm :args (@t2 @t5)) % 0.31/0.55 (step @p33 :rule nary_cong :premises (@p32 @p31) :args (@t7)) % 0.31/0.55 (step @p34 :rule refl :args (@t9)) % 0.31/0.55 (step @p35 :rule cong :premises (@p34 @p33) :args (@t10)) % 0.31/0.55 (step @p36 :rule cong :premises (@p35) :args (@t12)) % 0.31/0.55 (step @p37 :rule trans :premises (@p36 @p30)) % 0.31/0.55 (step @p38 :rule refl :args (tptp.setadjoinAx)) % 0.31/0.55 (step @p39 :rule cong :premises (@p38 @p37) :args (@t13)) % 0.31/0.55 (step @p40 :rule eq_resolve :premises (@p1 @p39)) % 0.31/0.55 (step @p41 :rule cong :premises (@p40 @p4) :args (@t32)) % 0.31/0.55 (step @p42 :rule cong :premises (@p41) :args ((not @t32))) % 0.31/0.55 (step @p43 :rule refl :args (@t25)) % 0.31/0.55 (step @p44 :rule cong :premises (@p28) :args (@t33)) % 0.31/0.55 (step @p45 :rule nary_cong :premises (@p44 @p10 @p43) :args (@t34)) % 0.31/0.55 (step @p46 :rule cong :premises (@p45) :args ((forall @t11 @t34))) % 0.31/0.55 (step @p47 :rule aci_norm :args ((= (or @t33 @t35) @t34))) % 0.31/0.55 (step @p48 :rule bool-impl-elim :args (@t9 @t35)) % 0.31/0.55 (step @p49 :rule trans :premises (@p48 @p47)) % 0.31/0.55 (step @p50 :rule cong :premises (@p49) :args ((forall @t11 (=> @t9 @t35)))) % 0.31/0.55 (step @p51 :rule trans :premises (@p50 @p46)) % 0.31/0.55 (step @p52 :rule aci_norm :args ((= (and @t25 true) @t25))) % 0.31/0.55 (step @p53 :rule evaluate :args (@t36)) % 0.31/0.55 (step @p54 :rule refl :args (@t25)) % 0.31/0.55 (step @p55 :rule nary_cong :premises (@p54 @p53) :args (@t37)) % 0.31/0.55 (step @p56 :rule trans :premises (@p55 @p52)) % 0.31/0.55 (step @p57 :rule aci_norm :args ((= (and @t26 true) @t26))) % 0.31/0.55 (step @p58 :rule refl :args (@t26)) % 0.31/0.55 (step @p59 :rule nary_cong :premises (@p58 @p53) :args (@t38)) % 0.31/0.55 (step @p60 :rule trans :premises (@p59 @p57)) % 0.31/0.55 (step @p61 :rule nary_cong :premises (@p60 @p56) :args (@t39)) % 0.31/0.55 (step @p62 :rule aci_norm :args ((= @t40 @t39))) % 0.31/0.55 (step @p63 :rule trans :premises (@p62 @p61)) % 0.31/0.55 (step @p64 :rule quant-var-elim-eq :args ((= (forall @t19 (or (not (= @t14 false)) @t43 @t42 @t14)) @t40))) % 0.31/0.55 (step @p65 :rule refl :args (@t14)) % 0.31/0.55 (step @p66 :rule refl :args (@t42)) % 0.31/0.55 (step @p67 :rule refl :args (@t43)) % 0.31/0.55 (step @p68 :rule bool-eq-false :args (@t14)) % 0.31/0.55 (step @p69 :rule symm :premises (@p68)) % 0.31/0.55 (step @p70 :rule cong :premises (@p69) :args ((not @t41))) % 0.31/0.55 (step @p71 :rule bool-double-not-elim :args (@t14)) % 0.31/0.55 (step @p72 :rule symm :premises (@p71)) % 0.31/0.55 (step @p73 :rule trans :premises (@p72 @p70)) % 0.31/0.55 (step @p74 :rule nary_cong :premises (@p73 @p67 @p66 @p65) :args (@t44)) % 0.31/0.55 (step @p75 :rule aci_norm :args ((= @t45 @t44))) % 0.31/0.55 (step @p76 :rule trans :premises (@p75 @p74)) % 0.31/0.55 (step @p77 :rule cong :premises (@p76) :args ((forall @t19 @t45))) % 0.31/0.55 (step @p78 :rule trans :premises (@p77 @p64)) % 0.31/0.55 (step @p79 :rule trans :premises (@p78 @p63)) % 0.31/0.55 (step @p80 :rule refl :args (@t41)) % 0.31/0.55 (step @p81 :rule nary_cong :premises (@p9 @p80) :args (@t46)) % 0.31/0.55 (step @p82 :rule nary_cong :premises (@p67 @p81 @p65) :args (@t47)) % 0.31/0.55 (step @p83 :rule cong :premises (@p82) :args ((forall @t19 @t47))) % 0.31/0.55 (step @p84 :rule trans :premises (@p83 @p79)) % 0.31/0.55 (step @p85 :rule aci_norm :args ((= (or @t43 (or @t46 @t14)) @t47))) % 0.31/0.55 (step @p86 :rule bool-implies-de-morgan :args (@t4 @t14)) % 0.31/0.55 (step @p87 :rule nary_cong :premises (@p86 @p65) :args ((or (not @t15) @t14))) % 0.31/0.55 (step @p88 :rule bool-impl-elim :args (@t15 @t14)) % 0.31/0.55 (step @p89 :rule trans :premises (@p88 @p87)) % 0.31/0.55 (step @p90 :rule bool-implies-de-morgan :args (@t26 @t14)) % 0.31/0.55 (step @p91 :rule nary_cong :premises (@p90 @p89) :args ((or (not @t48) @t16))) % 0.31/0.55 (step @p92 :rule trans :premises (@p91 @p85)) % 0.31/0.55 (step @p93 :rule bool-impl-elim :args (@t48 @t16)) % 0.31/0.55 (step @p94 :rule trans :premises (@p93 @p92)) % 0.31/0.55 (step @p95 :rule cong :premises (@p94) :args ((forall @t19 (=> @t48 @t16)))) % 0.31/0.55 (step @p96 :rule trans :premises (@p95 @p84)) % 0.31/0.55 (step @p97 :rule refl :args (@t16)) % 0.31/0.55 (step @p98 :rule refl :args (@t14)) % 0.31/0.55 (step @p99 :rule cong :premises (@p32 @p98) :args (@t17)) % 0.31/0.55 (step @p100 :rule cong :premises (@p99 @p97) :args (@t18)) % 0.31/0.55 (step @p101 :rule cong :premises (@p100) :args (@t20)) % 0.31/0.55 (step @p102 :rule trans :premises (@p101 @p96)) % 0.31/0.55 (step @p103 :rule cong :premises (@p34 @p102) :args (@t21)) % 0.31/0.55 (step @p104 :rule cong :premises (@p103) :args (@t22)) % 0.31/0.55 (step @p105 :rule trans :premises (@p104 @p51)) % 0.31/0.55 (step @p106 :rule cong :premises (@p38 @p105) :args (@t23)) % 0.31/0.55 (step @p107 :rule cong :premises (@p106) :args (@t24)) % 0.31/0.55 (step @p108 :rule trans :premises (@p107 @p42)) % 0.31/0.55 (step @p109 :rule eq_resolve :premises (@p2 @p108)) % 0.31/0.55 (step @p110 :rule not_implies_elim2 :premises (@p109)) % 0.31/0.55 (step @p111 :rule skolemize :premises (@p110)) % 0.31/0.55 (step @p112 :rule bool-double-not-elim :args (@t52)) % 0.31/0.55 (step @p113 :rule refl :args (@t56)) % 0.31/0.55 (step @p114 :rule nary_cong :premises (@p113 @p112) :args ((or @t56 (not @t55)))) % 0.31/0.55 (step @p115 :rule cnf_or_neg :args (@t56 0)) % 0.31/0.55 (step @p116 :rule eq_resolve :premises (@p115 @p114)) % 0.31/0.55 (step @p117 :rule reordering :premises (@p116) :args ((or @t52 @t56))) % 0.31/0.55 (step @p118 :rule chain_m_resolution :premises (@p117 @p111) :args (@t52 @t57 @t58)) % 0.31/0.55 (step @p119 :rule cnf_or_neg :args (@t56 2)) % 0.31/0.55 (step @p120 :rule chain_m_resolution :premises (@p119 @p111) :args ((not @t53) @t57 @t58)) % 0.31/0.55 (step @p121 :rule cnf_or_neg :args (@t56 1)) % 0.31/0.55 (step @p122 :rule chain_m_resolution :premises (@p121 @p111) :args ((not @t54) @t57 @t58)) % 0.31/0.55 (step @p123 :rule cnf_or_pos :args (@t59)) % 0.31/0.55 (step @p124 :rule reordering :premises (@p123) :args ((or @t54 @t53 @t60))) % 0.31/0.55 (step @p125 :rule chain_m_resolution :premises (@p124 @p122 @p120) :args (@t60 (@list true true) (@list @t54 @t53))) % 0.31/0.55 (step @p126 :rule not_implies_elim1 :premises (@p109)) % 0.31/0.55 (step @p127 :rule instantiate :premises (@p126) :args ((@list @t50 @t49 @t51))) % 0.31/0.55 (step @p128 :rule cnf_equiv_pos1 :args (@t61)) % 0.31/0.55 (step @p129 :rule reordering :premises (@p128) :args ((or @t55 @t59 (not @t61)))) % 0.31/0.55 (step @p130 false :rule chain_m_resolution :premises (@p129 @p127 @p125 @p118) :args (false (@list false true false) (@list @t61 @t59 @t52))) % 0.31/0.55 ) % 0.31/0.55 % SZS output end Proof % 0.31/0.55 % cvc5 exiting %------------------------------------------------------------------------------