%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU650^2 : 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 : n017.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 08:52:34 AM UTC 2026 % Result : Theorem 0.41s 0.58s % Output : Proof 0.41s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.13 % Problem : SEU650^2 : TPTP v9.2.1. Released v3.7.0. % 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 : n017.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 17:43:16 EDT 2026 % 0.17/0.36 % CPUTime : % 0.34/0.51 %----Proving TH0 % 0.41/0.58 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.41/0.58 % SZS status Theorem % 0.41/0.58 % SZS output start Proof % 0.41/0.58 ( % 0.41/0.58 (declare-sort $$unsorted 0) % 0.41/0.58 (declare-const tptp.setukpairinjR11 Bool) % 0.41/0.58 (declare-const tptp.setadjoin (-> $$unsorted $$unsorted $$unsorted)) % 0.41/0.58 (declare-const tptp.emptyset $$unsorted) % 0.41/0.58 (define @t1 () (@var "Xx" $$unsorted)) % 0.41/0.58 (define @t2 () (_ tptp.setadjoin @t1)) % 0.41/0.58 (define @t3 () (_ @t2 tptp.emptyset)) % 0.41/0.58 (define @t4 () (@var "Xy" $$unsorted)) % 0.41/0.58 (define @t5 () (_ (_ tptp.setadjoin @t4) tptp.emptyset)) % 0.41/0.58 (define @t6 () (_ @t2 @t5)) % 0.41/0.58 (define @t7 () (= @t6 @t3)) % 0.41/0.58 (define @t8 () (= @t1 @t4)) % 0.41/0.58 (define @t9 () (@list @t1 @t4)) % 0.41/0.58 (define @t10 () (forall @t9 (=> @t8 @t7))) % 0.41/0.58 (define @t11 () (= tptp.setukpairinjR11 @t10)) % 0.41/0.58 (define @t12 () (_ tptp.setadjoin @t3)) % 0.41/0.58 (define @t13 () (_ @t12 tptp.emptyset)) % 0.41/0.58 (define @t14 () (_ (_ tptp.setadjoin @t6) tptp.emptyset)) % 0.41/0.58 (define @t15 () (_ @t12 @t14)) % 0.41/0.58 (define @t16 () (= @t15 @t13)) % 0.41/0.58 (define @t17 () (forall @t9 (=> @t8 @t16))) % 0.41/0.58 (define @t18 () (=> tptp.setukpairinjR11 @t17)) % 0.41/0.58 (define @t19 () (not @t18)) % 0.41/0.58 (define @t20 () (tptp.setadjoin @t4 tptp.emptyset)) % 0.41/0.58 (define @t21 () (tptp.setadjoin @t4 @t20)) % 0.41/0.58 (define @t22 () (= (tptp.setadjoin @t20 (tptp.setadjoin @t21 tptp.emptyset)) (tptp.setadjoin @t20 tptp.emptyset))) % 0.41/0.58 (define @t23 () (@list @t4)) % 0.41/0.58 (define @t24 () (forall @t23 @t22)) % 0.41/0.58 (define @t25 () (= @t20 @t21)) % 0.41/0.58 (define @t26 () (not (= @t4 @t4))) % 0.41/0.58 (define @t27 () (or @t26 (= @t21 @t20))) % 0.41/0.58 (define @t28 () (tptp.setadjoin @t1 tptp.emptyset)) % 0.41/0.58 (define @t29 () (tptp.setadjoin @t1 @t20)) % 0.41/0.58 (define @t30 () (= @t29 @t28)) % 0.41/0.58 (define @t31 () (not @t8)) % 0.41/0.58 (define @t32 () (or @t31 @t31 @t30)) % 0.41/0.58 (define @t33 () (@list @t1)) % 0.41/0.58 (define @t34 () (or @t31 @t30)) % 0.41/0.58 (define @t35 () (forall @t33 @t34)) % 0.41/0.58 (define @t36 () (forall @t23 @t35)) % 0.41/0.58 (define @t37 () (@list @t4 @t1)) % 0.41/0.58 (define @t38 () (forall @t37 @t34)) % 0.41/0.58 (define @t39 () (or @t31 @t7)) % 0.41/0.58 (define @t40 () (=> tptp.setukpairinjR11 @t24)) % 0.41/0.58 (define @t41 () (or @t26 @t22)) % 0.41/0.58 (define @t42 () (tptp.setadjoin @t28 tptp.emptyset)) % 0.41/0.58 (define @t43 () (tptp.setadjoin @t29 tptp.emptyset)) % 0.41/0.58 (define @t44 () (tptp.setadjoin @t28 @t43)) % 0.41/0.58 (define @t45 () (= @t44 @t42)) % 0.41/0.58 (define @t46 () (or @t31 @t31 @t45)) % 0.41/0.58 (define @t47 () (or @t31 @t45)) % 0.41/0.58 (define @t48 () (forall @t33 @t47)) % 0.41/0.58 (define @t49 () (forall @t23 @t48)) % 0.41/0.58 (define @t50 () (forall @t37 @t47)) % 0.41/0.58 (define @t51 () (_ tptp.setadjoin @t28)) % 0.41/0.58 (define @t52 () (or @t31 @t16)) % 0.41/0.58 (define @t53 () (@quantifiers_skolemize @t24 0)) % 0.41/0.58 (define @t54 () (tptp.setadjoin @t53 tptp.emptyset)) % 0.41/0.58 (define @t55 () (tptp.setadjoin @t54 tptp.emptyset)) % 0.41/0.58 (define @t56 () (tptp.setadjoin @t54 @t55)) % 0.41/0.58 (define @t57 () (= @t55 @t56)) % 0.41/0.58 (define @t58 () (= @t56 @t55)) % 0.41/0.58 (define @t59 () (forall @t23 @t25)) % 0.41/0.58 (assume @p1 @t11) % 0.41/0.58 (assume @p2 @t19) % 0.41/0.58 (assume @p3 true) % 0.41/0.58 (step @p4 :rule refl :args (@t24)) % 0.41/0.58 (step @p5 :rule aci_norm :args ((= (or false @t25) @t25))) % 0.41/0.58 (step @p6 :rule eq-symm :args (@t21 @t20)) % 0.41/0.58 (step @p7 :rule evaluate :args ((not true))) % 0.41/0.58 (step @p8 :rule eq-refl :args (@t4)) % 0.41/0.58 (step @p9 :rule cong :premises (@p8) :args (@t26)) % 0.41/0.58 (step @p10 :rule trans :premises (@p9 @p7)) % 0.41/0.58 (step @p11 :rule nary_cong :premises (@p10 @p6) :args (@t27)) % 0.41/0.58 (step @p12 :rule trans :premises (@p11 @p5)) % 0.41/0.58 (step @p13 :rule cong :premises (@p12) :args ((forall @t23 @t27))) % 0.41/0.58 (step @p14 :rule quant-var-elim-eq :args ((= (forall @t33 @t32) @t27))) % 0.41/0.58 (step @p15 :rule aci_norm :args ((= @t34 @t32))) % 0.41/0.58 (step @p16 :rule cong :premises (@p15) :args (@t35)) % 0.41/0.58 (step @p17 :rule trans :premises (@p16 @p14)) % 0.41/0.58 (step @p18 :rule cong :premises (@p17) :args (@t36)) % 0.41/0.58 (step @p19 :rule quant-merge-prenex :args ((= @t36 @t38))) % 0.41/0.58 (step @p20 :rule symm :premises (@p19)) % 0.41/0.58 (step @p21 :rule quant_var_reordering :args ((= (forall @t9 @t34) @t38))) % 0.41/0.58 (step @p22 :rule trans :premises (@p21 @p20 @p18)) % 0.41/0.58 (step @p23 :rule trans :premises (@p22 @p13)) % 0.41/0.58 (step @p24 :rule refl :args (@t28)) % 0.41/0.58 (step @p25 :rule refl :args (@t3)) % 0.41/0.58 (step @p26 :rule cong :premises (@p25 @p24) :args ((= @t3 @t28))) % 0.41/0.58 (step @p27 :rule symm :premises (@p26)) % 0.41/0.58 (step @p28 :rule eq_resolve :premises (@p25 @p27)) % 0.41/0.58 (step @p29 :rule refl :args ((tptp.setadjoin @t1 @t5))) % 0.41/0.58 (step @p30 :rule refl :args (@t20)) % 0.41/0.58 (step @p31 :rule refl :args (@t1)) % 0.41/0.58 (step @p32 :rule cong :premises (@p31 @p30) :args (@t29)) % 0.41/0.58 (step @p33 :rule trans :premises (@p32 @p29)) % 0.41/0.58 (step @p34 :rule refl :args (@t2)) % 0.41/0.58 (step @p35 :rule ho_cong :premises (@p34 @p30)) % 0.41/0.58 (step @p36 :rule cong :premises (@p35 @p33) :args ((= (_ @t2 @t20) @t29))) % 0.41/0.58 (step @p37 :rule symm :premises (@p36)) % 0.41/0.58 (step @p38 :rule refl :args (@t6)) % 0.41/0.58 (step @p39 :rule eq_resolve :premises (@p38 @p37)) % 0.41/0.58 (step @p40 :rule refl :args (@t5)) % 0.41/0.58 (step @p41 :rule cong :premises (@p40 @p30) :args ((= @t5 @t20))) % 0.41/0.58 (step @p42 :rule symm :premises (@p41)) % 0.41/0.58 (step @p43 :rule eq_resolve :premises (@p40 @p42)) % 0.41/0.58 (step @p44 :rule ho_cong :premises (@p34 @p43)) % 0.41/0.58 (step @p45 :rule trans :premises (@p44 @p39)) % 0.41/0.58 (step @p46 :rule cong :premises (@p45 @p28) :args (@t7)) % 0.41/0.58 (step @p47 :rule refl :args (@t31)) % 0.41/0.58 (step @p48 :rule nary_cong :premises (@p47 @p46) :args (@t39)) % 0.41/0.58 (step @p49 :rule cong :premises (@p48) :args ((forall @t9 @t39))) % 0.41/0.58 (step @p50 :rule trans :premises (@p49 @p23)) % 0.41/0.58 (step @p51 :rule bool-impl-elim :args (@t8 @t7)) % 0.41/0.58 (step @p52 :rule cong :premises (@p51) :args (@t10)) % 0.41/0.58 (step @p53 :rule trans :premises (@p52 @p50)) % 0.41/0.58 (step @p54 :rule refl :args (tptp.setukpairinjR11)) % 0.41/0.58 (step @p55 :rule cong :premises (@p54 @p53) :args (@t11)) % 0.41/0.58 (step @p56 :rule eq_resolve :premises (@p1 @p55)) % 0.41/0.58 (step @p57 :rule cong :premises (@p56 @p4) :args (@t40)) % 0.41/0.58 (step @p58 :rule cong :premises (@p57) :args ((not @t40))) % 0.41/0.58 (step @p59 :rule aci_norm :args ((= (or false @t22) @t22))) % 0.41/0.58 (step @p60 :rule refl :args (@t22)) % 0.41/0.58 (step @p61 :rule nary_cong :premises (@p10 @p60) :args (@t41)) % 0.41/0.58 (step @p62 :rule trans :premises (@p61 @p59)) % 0.41/0.58 (step @p63 :rule cong :premises (@p62) :args ((forall @t23 @t41))) % 0.41/0.58 (step @p64 :rule quant-var-elim-eq :args ((= (forall @t33 @t46) @t41))) % 0.41/0.58 (step @p65 :rule aci_norm :args ((= @t47 @t46))) % 0.41/0.58 (step @p66 :rule cong :premises (@p65) :args (@t48)) % 0.41/0.58 (step @p67 :rule trans :premises (@p66 @p64)) % 0.41/0.58 (step @p68 :rule cong :premises (@p67) :args (@t49)) % 0.41/0.58 (step @p69 :rule quant-merge-prenex :args ((= @t49 @t50))) % 0.41/0.58 (step @p70 :rule symm :premises (@p69)) % 0.41/0.58 (step @p71 :rule quant_var_reordering :args ((= (forall @t9 @t47) @t50))) % 0.41/0.58 (step @p72 :rule trans :premises (@p71 @p70 @p68)) % 0.41/0.58 (step @p73 :rule trans :premises (@p72 @p63)) % 0.41/0.58 (step @p74 :rule refl :args ((tptp.setadjoin @t3 tptp.emptyset))) % 0.41/0.58 (step @p75 :rule refl :args (tptp.emptyset)) % 0.41/0.58 (step @p76 :rule cong :premises (@p24 @p75) :args (@t42)) % 0.41/0.58 (step @p77 :rule trans :premises (@p76 @p74)) % 0.41/0.58 (step @p78 :rule refl :args (tptp.setadjoin)) % 0.41/0.58 (step @p79 :rule ho_cong :premises (@p78 @p24)) % 0.41/0.58 (step @p80 :rule ho_cong :premises (@p79 @p75)) % 0.41/0.58 (step @p81 :rule cong :premises (@p80 @p77) :args ((= (_ @t51 tptp.emptyset) @t42))) % 0.41/0.58 (step @p82 :rule symm :premises (@p81)) % 0.41/0.58 (step @p83 :rule refl :args (@t13)) % 0.41/0.58 (step @p84 :rule eq_resolve :premises (@p83 @p82)) % 0.41/0.58 (step @p85 :rule ho_cong :premises (@p78 @p28)) % 0.41/0.58 (step @p86 :rule ho_cong :premises (@p85 @p75)) % 0.41/0.58 (step @p87 :rule trans :premises (@p86 @p84)) % 0.41/0.58 (step @p88 :rule refl :args ((tptp.setadjoin @t3 @t14))) % 0.41/0.58 (step @p89 :rule refl :args ((tptp.setadjoin @t6 tptp.emptyset))) % 0.41/0.58 (step @p90 :rule cong :premises (@p33 @p75) :args (@t43)) % 0.41/0.58 (step @p91 :rule trans :premises (@p90 @p89)) % 0.41/0.58 (step @p92 :rule cong :premises (@p24 @p91) :args (@t44)) % 0.41/0.58 (step @p93 :rule trans :premises (@p92 @p88)) % 0.41/0.58 (step @p94 :rule ho_cong :premises (@p79 @p91)) % 0.41/0.58 (step @p95 :rule cong :premises (@p94 @p93) :args ((= (_ @t51 @t43) @t44))) % 0.41/0.58 (step @p96 :rule symm :premises (@p95)) % 0.41/0.58 (step @p97 :rule refl :args (@t15)) % 0.41/0.58 (step @p98 :rule eq_resolve :premises (@p97 @p96)) % 0.41/0.58 (step @p99 :rule ho_cong :premises (@p78 @p33)) % 0.41/0.58 (step @p100 :rule ho_cong :premises (@p99 @p75)) % 0.41/0.58 (step @p101 :rule cong :premises (@p100 @p91) :args ((= (_ (_ tptp.setadjoin @t29) tptp.emptyset) @t43))) % 0.41/0.58 (step @p102 :rule symm :premises (@p101)) % 0.41/0.58 (step @p103 :rule refl :args (@t14)) % 0.41/0.58 (step @p104 :rule eq_resolve :premises (@p103 @p102)) % 0.41/0.58 (step @p105 :rule ho_cong :premises (@p78 @p45)) % 0.41/0.58 (step @p106 :rule ho_cong :premises (@p105 @p75)) % 0.41/0.58 (step @p107 :rule trans :premises (@p106 @p104)) % 0.41/0.58 (step @p108 :rule ho_cong :premises (@p85 @p107)) % 0.41/0.58 (step @p109 :rule trans :premises (@p108 @p98)) % 0.41/0.58 (step @p110 :rule cong :premises (@p109 @p87) :args (@t16)) % 0.41/0.58 (step @p111 :rule nary_cong :premises (@p47 @p110) :args (@t52)) % 0.41/0.58 (step @p112 :rule cong :premises (@p111) :args ((forall @t9 @t52))) % 0.41/0.58 (step @p113 :rule trans :premises (@p112 @p73)) % 0.41/0.58 (step @p114 :rule bool-impl-elim :args (@t8 @t16)) % 0.41/0.58 (step @p115 :rule cong :premises (@p114) :args (@t17)) % 0.41/0.58 (step @p116 :rule trans :premises (@p115 @p113)) % 0.41/0.58 (step @p117 :rule cong :premises (@p54 @p116) :args (@t18)) % 0.41/0.58 (step @p118 :rule cong :premises (@p117) :args (@t19)) % 0.41/0.58 (step @p119 :rule trans :premises (@p118 @p58)) % 0.41/0.58 (step @p120 :rule eq_resolve :premises (@p2 @p119)) % 0.41/0.58 (step @p121 :rule not_implies_elim1 :premises (@p120)) % 0.41/0.58 (step @p122 :rule bool-eq-false :args (@t57)) % 0.41/0.58 (step @p123 :rule symm :premises (@p122)) % 0.41/0.58 (step @p124 :rule eq-symm :args (@t56 @t55)) % 0.41/0.58 (step @p125 :rule cong :premises (@p124) :args ((not @t58))) % 0.41/0.58 (step @p126 :rule bool-eq-false :args (@t58)) % 0.41/0.58 (step @p127 :rule trans :premises (@p126 @p125)) % 0.41/0.58 (step @p128 :rule trans :premises (@p127 @p123)) % 0.41/0.58 (step @p129 :rule not_implies_elim2 :premises (@p120)) % 0.41/0.58 (step @p130 :rule skolemize :premises (@p129)) % 0.41/0.58 (step @p131 :rule false_intro :premises (@p130)) % 0.41/0.58 (step @p132 :rule refl :args (@t55)) % 0.41/0.58 (step @p133 :rule refl :args (tptp.emptyset)) % 0.41/0.58 (step @p134 :rule instantiate :premises (@p121) :args ((@list @t53))) % 0.41/0.58 (step @p135 :rule cong :premises (@p134 @p133) :args (@t55)) % 0.41/0.58 (step @p136 :rule refl :args (@t54)) % 0.41/0.58 (step @p137 :rule cong :premises (@p136 @p135) :args (@t56)) % 0.41/0.58 (step @p138 :rule cong :premises (@p137 @p132) :args (@t58)) % 0.41/0.58 (step @p139 :rule trans :premises (@p138 @p131)) % 0.41/0.58 (step @p140 :rule eq_resolve :premises (@p139 @p128)) % 0.41/0.58 (step @p141 :rule false_elim :premises (@p140)) % 0.41/0.58 (assume-push @p148 @t59) % 0.41/0.58 (step @p143 :rule instantiate :premises (@p121) :args ((@list @t54))) % 0.41/0.58 (step-pop @p149 :rule scope :premises (@p143)) % 0.41/0.58 (step @p144 :rule process_scope :premises (@p149) :args (@t57)) % 0.41/0.58 (step @p146 :rule implies_elim :premises (@p144)) % 0.41/0.58 (step @p147 false :rule chain_m_resolution :premises (@p146 @p141 @p121) :args (false (@list true false) (@list @t57 @t59))) % 0.41/0.58 ) % 0.41/0.58 % SZS output end Proof % 0.41/0.58 % cvc5 exiting %------------------------------------------------------------------------------