%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU523^2 : TPTP v9.2.1. Released v3.7.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n026.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 08:52:03 AM UTC 2026 % Result : Theorem 0.34s 0.55s % Output : Proof 0.34s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.13 % Problem : SEU523^2 : TPTP v9.2.1. Released v3.7.0. % 0.12/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n026.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 17:40:55 EDT 2026 % 0.17/0.35 % CPUTime : % 0.34/0.49 %----Proving TH0 % 0.34/0.55 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.34/0.55 % SZS status Theorem % 0.34/0.55 % SZS output start Proof % 0.34/0.55 ( % 0.34/0.55 (declare-sort $$unsorted 0) % 0.34/0.55 (declare-const tptp.setunionAx Bool) % 0.34/0.55 (declare-const tptp.setunion (-> $$unsorted $$unsorted)) % 0.34/0.55 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.34/0.55 (define @t1 () (@var "A" $$unsorted)) % 0.34/0.55 (define @t2 () (@var "B" $$unsorted)) % 0.34/0.55 (define @t3 () (_ (_ tptp.in @t2) @t1)) % 0.34/0.55 (define @t4 () (@var "Xx" $$unsorted)) % 0.34/0.55 (define @t5 () (_ tptp.in @t4)) % 0.34/0.55 (define @t6 () (_ @t5 @t2)) % 0.34/0.55 (define @t7 () (and @t6 @t3)) % 0.34/0.55 (define @t8 () (@list @t2)) % 0.34/0.55 (define @t9 () (exists @t8 @t7)) % 0.34/0.55 (define @t10 () (_ tptp.setunion @t1)) % 0.34/0.55 (define @t11 () (_ @t5 @t10)) % 0.34/0.55 (define @t12 () (= @t11 @t9)) % 0.34/0.55 (define @t13 () (@list @t1 @t4)) % 0.34/0.55 (define @t14 () (forall @t13 @t12)) % 0.34/0.55 (define @t15 () (= tptp.setunionAx @t14)) % 0.34/0.55 (define @t16 () (@var "Xphi" Bool)) % 0.34/0.55 (define @t17 () (=> @t3 @t16)) % 0.34/0.55 (define @t18 () (forall @t8 (=> @t6 @t17))) % 0.34/0.55 (define @t19 () (=> @t18 @t16)) % 0.34/0.55 (define @t20 () (@list @t16)) % 0.34/0.55 (define @t21 () (forall @t20 @t19)) % 0.34/0.55 (define @t22 () (=> @t11 @t21)) % 0.34/0.55 (define @t23 () (forall @t13 @t22)) % 0.34/0.55 (define @t24 () (=> tptp.setunionAx @t23)) % 0.34/0.55 (define @t25 () (not @t24)) % 0.34/0.55 (define @t26 () (tptp.in @t2 @t1)) % 0.34/0.55 (define @t27 () (tptp.in @t4 @t2)) % 0.34/0.55 (define @t28 () (forall @t8 (or (not @t27) (not @t26)))) % 0.34/0.55 (define @t29 () (not @t28)) % 0.34/0.55 (define @t30 () (tptp.setunion @t1)) % 0.34/0.55 (define @t31 () (tptp.in @t4 @t30)) % 0.34/0.55 (define @t32 () (forall @t13 (or (not @t31) @t29))) % 0.34/0.55 (define @t33 () (= @t11 @t29)) % 0.34/0.55 (define @t34 () (not @t3)) % 0.34/0.55 (define @t35 () (not @t6)) % 0.34/0.55 (define @t36 () (or @t35 @t34)) % 0.34/0.55 (define @t37 () (forall @t8 @t36)) % 0.34/0.55 (define @t38 () (forall @t8 (not @t7))) % 0.34/0.55 (define @t39 () (not @t38)) % 0.34/0.55 (define @t40 () (=> tptp.setunionAx @t32)) % 0.34/0.55 (define @t41 () (not @t11)) % 0.34/0.55 (define @t42 () (or @t41 @t29)) % 0.34/0.55 (define @t43 () (not false)) % 0.34/0.55 (define @t44 () (and @t43 @t29)) % 0.34/0.55 (define @t45 () (or @t44 false)) % 0.34/0.55 (define @t46 () (not @t16)) % 0.34/0.55 (define @t47 () (and @t46 @t29)) % 0.34/0.55 (define @t48 () (or @t16 @t47 @t16)) % 0.34/0.55 (define @t49 () (or @t47 @t16)) % 0.34/0.55 (define @t50 () (or @t16 @t28)) % 0.34/0.55 (define @t51 () (or @t16 @t37)) % 0.34/0.55 (define @t52 () (or @t16 @t36)) % 0.34/0.55 (define @t53 () (or @t35 @t34 @t16)) % 0.34/0.55 (define @t54 () (@quantifiers_skolemize @t32 0)) % 0.34/0.55 (define @t55 () (@quantifiers_skolemize @t32 1)) % 0.34/0.55 (define @t56 () (forall @t8 (or (not (tptp.in @t55 @t2)) (not (tptp.in @t2 @t54))))) % 0.34/0.55 (define @t57 () (not @t56)) % 0.34/0.55 (define @t58 () (tptp.in @t55 (tptp.setunion @t54))) % 0.34/0.55 (define @t59 () (not @t58)) % 0.34/0.55 (define @t60 () (or @t59 @t57)) % 0.34/0.55 (define @t61 () (@list true)) % 0.34/0.55 (define @t62 () (@list @t60)) % 0.34/0.55 (define @t63 () (= @t58 @t57)) % 0.34/0.55 (define @t64 () (not @t63)) % 0.34/0.55 (define @t65 () (forall @t13 (= @t29 @t31))) % 0.34/0.55 (define @t66 () (= @t57 @t58)) % 0.34/0.55 (assume @p1 @t15) % 0.34/0.55 (assume @p2 @t25) % 0.34/0.55 (assume @p3 true) % 0.34/0.55 (step @p4 :rule refl :args (@t32)) % 0.34/0.55 (step @p5 :rule eq-symm :args (@t31 @t29)) % 0.34/0.55 (step @p6 :rule cong :premises (@p5) :args ((forall @t13 (= @t31 @t29)))) % 0.34/0.55 (step @p7 :rule refl :args (@t29)) % 0.34/0.55 (step @p8 :rule refl :args ((tptp.in @t4 @t10))) % 0.34/0.55 (step @p9 :rule refl :args (@t30)) % 0.34/0.55 (step @p10 :rule refl :args (@t4)) % 0.34/0.55 (step @p11 :rule cong :premises (@p10 @p9) :args (@t31)) % 0.34/0.55 (step @p12 :rule trans :premises (@p11 @p8)) % 0.34/0.55 (step @p13 :rule refl :args (@t5)) % 0.34/0.55 (step @p14 :rule ho_cong :premises (@p13 @p9)) % 0.34/0.55 (step @p15 :rule cong :premises (@p14 @p12) :args ((= (_ @t5 @t30) @t31))) % 0.34/0.55 (step @p16 :rule symm :premises (@p15)) % 0.34/0.55 (step @p17 :rule refl :args (@t11)) % 0.34/0.55 (step @p18 :rule eq_resolve :premises (@p17 @p16)) % 0.34/0.55 (step @p19 :rule refl :args (@t10)) % 0.34/0.55 (step @p20 :rule cong :premises (@p19 @p9) :args ((= @t10 @t30))) % 0.34/0.55 (step @p21 :rule symm :premises (@p20)) % 0.34/0.55 (step @p22 :rule eq_resolve :premises (@p19 @p21)) % 0.34/0.55 (step @p23 :rule ho_cong :premises (@p13 @p22)) % 0.34/0.55 (step @p24 :rule trans :premises (@p23 @p18)) % 0.34/0.55 (step @p25 :rule cong :premises (@p24 @p7) :args (@t33)) % 0.34/0.55 (step @p26 :rule cong :premises (@p25) :args ((forall @t13 @t33))) % 0.34/0.55 (step @p27 :rule trans :premises (@p26 @p6)) % 0.34/0.55 (step @p28 :rule refl :args (@t26)) % 0.34/0.55 (step @p29 :rule refl :args (@t3)) % 0.34/0.55 (step @p30 :rule cong :premises (@p29 @p28) :args ((= @t3 @t26))) % 0.34/0.55 (step @p31 :rule symm :premises (@p30)) % 0.34/0.55 (step @p32 :rule eq_resolve :premises (@p29 @p31)) % 0.34/0.55 (step @p33 :rule cong :premises (@p32) :args (@t34)) % 0.34/0.55 (step @p34 :rule refl :args (@t27)) % 0.34/0.55 (step @p35 :rule refl :args (@t6)) % 0.34/0.55 (step @p36 :rule cong :premises (@p35 @p34) :args ((= @t6 @t27))) % 0.34/0.55 (step @p37 :rule symm :premises (@p36)) % 0.34/0.55 (step @p38 :rule eq_resolve :premises (@p35 @p37)) % 0.34/0.55 (step @p39 :rule cong :premises (@p38) :args (@t35)) % 0.34/0.55 (step @p40 :rule nary_cong :premises (@p39 @p33) :args (@t36)) % 0.34/0.55 (step @p41 :rule cong :premises (@p40) :args (@t37)) % 0.34/0.55 (step @p42 :rule bool-and-de-morgan :args (@t6 @t3 true)) % 0.34/0.55 (step @p43 :rule cong :premises (@p42) :args (@t38)) % 0.34/0.55 (step @p44 :rule trans :premises (@p43 @p41)) % 0.34/0.55 (step @p45 :rule cong :premises (@p44) :args (@t39)) % 0.34/0.55 (step @p46 :rule exists-elim :args ((= @t9 @t39))) % 0.34/0.55 (step @p47 :rule trans :premises (@p46 @p45)) % 0.34/0.55 (step @p48 :rule refl :args (@t11)) % 0.34/0.55 (step @p49 :rule cong :premises (@p48 @p47) :args (@t12)) % 0.34/0.55 (step @p50 :rule cong :premises (@p49) :args (@t14)) % 0.34/0.55 (step @p51 :rule trans :premises (@p50 @p27)) % 0.34/0.55 (step @p52 :rule refl :args (tptp.setunionAx)) % 0.34/0.55 (step @p53 :rule cong :premises (@p52 @p51) :args (@t15)) % 0.34/0.55 (step @p54 :rule eq_resolve :premises (@p1 @p53)) % 0.34/0.55 (step @p55 :rule cong :premises (@p54 @p4) :args (@t40)) % 0.34/0.55 (step @p56 :rule cong :premises (@p55) :args ((not @t40))) % 0.34/0.55 (step @p57 :rule cong :premises (@p24) :args (@t41)) % 0.34/0.55 (step @p58 :rule nary_cong :premises (@p57 @p7) :args (@t42)) % 0.34/0.55 (step @p59 :rule cong :premises (@p58) :args ((forall @t13 @t42))) % 0.34/0.55 (step @p60 :rule bool-impl-elim :args (@t11 @t29)) % 0.34/0.55 (step @p61 :rule cong :premises (@p60) :args ((forall @t13 (=> @t11 @t29)))) % 0.34/0.55 (step @p62 :rule trans :premises (@p61 @p59)) % 0.34/0.55 (step @p63 :rule aci_norm :args ((= (and true @t29) @t29))) % 0.34/0.55 (step @p64 :rule refl :args (@t29)) % 0.34/0.55 (step @p65 :rule evaluate :args (@t43)) % 0.34/0.55 (step @p66 :rule nary_cong :premises (@p65 @p64) :args (@t44)) % 0.34/0.55 (step @p67 :rule trans :premises (@p66 @p63)) % 0.34/0.55 (step @p68 :rule aci_norm :args ((= @t45 @t44))) % 0.34/0.55 (step @p69 :rule trans :premises (@p68 @p67)) % 0.34/0.55 (step @p70 :rule quant-var-elim-eq :args ((= (forall @t20 (or (not (= @t16 false)) @t47 @t16)) @t45))) % 0.34/0.55 (step @p71 :rule refl :args (@t16)) % 0.34/0.55 (step @p72 :rule refl :args (@t47)) % 0.34/0.55 (step @p73 :rule bool-eq-false :args (@t16)) % 0.34/0.55 (step @p74 :rule symm :premises (@p73)) % 0.34/0.55 (step @p75 :rule cong :premises (@p74) :args ((not @t46))) % 0.34/0.55 (step @p76 :rule bool-double-not-elim :args (@t16)) % 0.34/0.55 (step @p77 :rule symm :premises (@p76)) % 0.34/0.55 (step @p78 :rule trans :premises (@p77 @p75)) % 0.34/0.55 (step @p79 :rule nary_cong :premises (@p78 @p72 @p71) :args (@t48)) % 0.34/0.55 (step @p80 :rule aci_norm :args ((= @t49 @t48))) % 0.34/0.55 (step @p81 :rule trans :premises (@p80 @p79)) % 0.34/0.55 (step @p82 :rule cong :premises (@p81) :args ((forall @t20 @t49))) % 0.34/0.55 (step @p83 :rule trans :premises (@p82 @p70)) % 0.34/0.55 (step @p84 :rule trans :premises (@p83 @p69)) % 0.34/0.55 (step @p85 :rule bool-or-de-morgan :args (@t16 @t28 false)) % 0.34/0.55 (step @p86 :rule nary_cong :premises (@p85 @p71) :args ((or (not @t50) @t16))) % 0.34/0.55 (step @p87 :rule bool-impl-elim :args (@t50 @t16)) % 0.34/0.55 (step @p88 :rule trans :premises (@p87 @p86)) % 0.34/0.55 (step @p89 :rule cong :premises (@p88) :args ((forall @t20 (=> @t50 @t16)))) % 0.34/0.55 (step @p90 :rule trans :premises (@p89 @p84)) % 0.34/0.55 (step @p91 :rule refl :args (@t16)) % 0.34/0.55 (step @p92 :rule nary_cong :premises (@p91 @p41) :args (@t51)) % 0.34/0.55 (step @p93 :rule quant-miniscope-or :args ((= (forall @t8 @t52) @t51))) % 0.34/0.55 (step @p94 :rule aci_norm :args ((= @t53 @t52))) % 0.34/0.55 (step @p95 :rule cong :premises (@p94) :args ((forall @t8 @t53))) % 0.34/0.55 (step @p96 :rule trans :premises (@p95 @p93)) % 0.34/0.55 (step @p97 :rule trans :premises (@p96 @p92)) % 0.34/0.55 (step @p98 :rule aci_norm :args ((= (or @t35 (or @t34 @t16)) @t53))) % 0.34/0.55 (step @p99 :rule bool-impl-elim :args (@t3 @t16)) % 0.34/0.55 (step @p100 :rule refl :args (@t35)) % 0.34/0.55 (step @p101 :rule nary_cong :premises (@p100 @p99) :args ((or @t35 @t17))) % 0.34/0.55 (step @p102 :rule trans :premises (@p101 @p98)) % 0.34/0.55 (step @p103 :rule bool-impl-elim :args (@t6 @t17)) % 0.34/0.55 (step @p104 :rule trans :premises (@p103 @p102)) % 0.34/0.55 (step @p105 :rule cong :premises (@p104) :args (@t18)) % 0.34/0.55 (step @p106 :rule trans :premises (@p105 @p97)) % 0.34/0.55 (step @p107 :rule cong :premises (@p106 @p91) :args (@t19)) % 0.34/0.55 (step @p108 :rule cong :premises (@p107) :args (@t21)) % 0.34/0.55 (step @p109 :rule trans :premises (@p108 @p90)) % 0.34/0.56 (step @p110 :rule cong :premises (@p48 @p109) :args (@t22)) % 0.34/0.56 (step @p111 :rule cong :premises (@p110) :args (@t23)) % 0.34/0.56 (step @p112 :rule trans :premises (@p111 @p62)) % 0.34/0.56 (step @p113 :rule cong :premises (@p52 @p112) :args (@t24)) % 0.34/0.56 (step @p114 :rule cong :premises (@p113) :args (@t25)) % 0.34/0.56 (step @p115 :rule trans :premises (@p114 @p56)) % 0.34/0.56 (step @p116 :rule eq_resolve :premises (@p2 @p115)) % 0.34/0.56 (step @p117 :rule not_implies_elim1 :premises (@p116)) % 0.34/0.56 (step @p118 :rule not_implies_elim2 :premises (@p116)) % 0.34/0.56 (step @p119 :rule skolemize :premises (@p118)) % 0.34/0.56 (step @p120 :rule bool-double-not-elim :args (@t56)) % 0.34/0.56 (step @p121 :rule refl :args (@t60)) % 0.34/0.56 (step @p122 :rule nary_cong :premises (@p121 @p120) :args ((or @t60 (not @t57)))) % 0.34/0.56 (step @p123 :rule cnf_or_neg :args (@t60 1)) % 0.34/0.56 (step @p124 :rule eq_resolve :premises (@p123 @p122)) % 0.34/0.56 (step @p125 :rule reordering :premises (@p124) :args ((or @t56 @t60))) % 0.34/0.56 (step @p126 :rule chain_m_resolution :premises (@p125 @p119) :args (@t56 @t61 @t62)) % 0.34/0.56 (step @p127 :rule bool-double-not-elim :args (@t58)) % 0.34/0.56 (step @p128 :rule nary_cong :premises (@p121 @p127) :args ((or @t60 (not @t59)))) % 0.34/0.56 (step @p129 :rule cnf_or_neg :args (@t60 0)) % 0.34/0.56 (step @p130 :rule eq_resolve :premises (@p129 @p128)) % 0.34/0.56 (step @p131 :rule reordering :premises (@p130) :args ((or @t58 @t60))) % 0.34/0.56 (step @p132 :rule chain_m_resolution :premises (@p131 @p119) :args (@t58 @t61 @t62)) % 0.34/0.56 (step @p133 :rule cnf_equiv_pos1 :args (@t63)) % 0.34/0.56 (step @p134 :rule reordering :premises (@p133) :args ((or @t59 @t57 @t64))) % 0.34/0.56 (step @p135 :rule chain_m_resolution :premises (@p134 @p132 @p126) :args (@t64 (@list false false) (@list @t58 @t56))) % 0.34/0.56 (step @p136 :rule eq-symm :args (@t57 @t58)) % 0.34/0.56 (step @p137 :rule refl :args (@t65)) % 0.34/0.56 (step @p138 :rule cong :premises (@p137 @p136) :args ((=> @t65 @t66))) % 0.34/0.56 (assume-push @p146 @t65) % 0.34/0.56 (step @p140 :rule instantiate :premises (@p117) :args ((@list @t54 @t55))) % 0.34/0.56 (step-pop @p147 :rule scope :premises (@p140)) % 0.34/0.56 (step @p141 :rule process_scope :premises (@p147) :args (@t66)) % 0.34/0.56 (step @p143 :rule eq_resolve :premises (@p141 @p138)) % 0.34/0.56 (step @p144 :rule implies_elim :premises (@p143)) % 0.34/0.56 (step @p145 false :rule chain_m_resolution :premises (@p144 @p135 @p117) :args (false (@list true false) (@list @t63 @t65))) % 0.34/0.56 ) % 0.34/0.56 % SZS output end Proof % 0.34/0.56 % cvc5 exiting %------------------------------------------------------------------------------