%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU621^2 : 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 : n024.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 08:52:27 AM UTC 2026 % Result : Theorem 0.15s 0.36s % Output : Proof 0.15s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.06 % Problem : SEU621^2 : TPTP v9.2.1. Released v3.7.0. % 0.00/0.06 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.06/0.25 % Computer : n024.cluster.edu % 0.06/0.25 % Model : x86_64 x86_64 % 0.06/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.06/0.25 % Memory : 8042.1875MB % 0.06/0.25 % OS : Linux 3.10.0-693.el7.x86_64 % 0.06/0.25 % CPULimit : 300 % 0.06/0.25 % WCLimit : 300 % 0.06/0.25 % DateTime : Tue Jun 2 12:43:30 EDT 2026 % 0.06/0.25 % CPUTime : % 0.15/0.33 %----Proving TH0 % 0.15/0.36 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.15/0.36 % SZS status Theorem % 0.15/0.36 % SZS output start Proof % 0.15/0.36 ( % 0.15/0.36 (declare-sort $$unsorted 0) % 0.15/0.36 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.15/0.36 (declare-const tptp.uniqinunit Bool) % 0.15/0.36 (declare-const tptp.subsetI2 Bool) % 0.15/0.36 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.15/0.36 (declare-const tptp.setadjoin (-> $$unsorted $$unsorted $$unsorted)) % 0.15/0.36 (declare-const tptp.emptyset $$unsorted) % 0.15/0.36 (define @t1 () (@var "Xy" $$unsorted)) % 0.15/0.36 (define @t2 () (@var "Xx" $$unsorted)) % 0.15/0.36 (define @t3 () (= @t2 @t1)) % 0.15/0.36 (define @t4 () (_ (_ tptp.setadjoin @t1) tptp.emptyset)) % 0.15/0.36 (define @t5 () (_ tptp.in @t2)) % 0.15/0.36 (define @t6 () (_ @t5 @t4)) % 0.15/0.36 (define @t7 () (@list @t2 @t1)) % 0.15/0.36 (define @t8 () (forall @t7 (=> @t6 @t3))) % 0.15/0.36 (define @t9 () (= tptp.uniqinunit @t8)) % 0.15/0.36 (define @t10 () (@var "B" $$unsorted)) % 0.15/0.36 (define @t11 () (@var "A" $$unsorted)) % 0.15/0.36 (define @t12 () (_ (_ tptp.subset @t11) @t10)) % 0.15/0.36 (define @t13 () (_ @t5 @t10)) % 0.15/0.36 (define @t14 () (_ @t5 @t11)) % 0.15/0.36 (define @t15 () (@list @t2)) % 0.15/0.36 (define @t16 () (forall @t15 (=> @t14 @t13))) % 0.15/0.36 (define @t17 () (=> @t16 @t12)) % 0.15/0.36 (define @t18 () (@list @t11 @t10)) % 0.15/0.36 (define @t19 () (forall @t18 @t17)) % 0.15/0.36 (define @t20 () (= tptp.subsetI2 @t19)) % 0.15/0.36 (define @t21 () (_ (_ tptp.setadjoin @t2) tptp.emptyset)) % 0.15/0.36 (define @t22 () (_ (_ tptp.subset @t21) @t11)) % 0.15/0.36 (define @t23 () (@list @t11 @t2)) % 0.15/0.36 (define @t24 () (forall @t23 (=> @t14 @t22))) % 0.15/0.36 (define @t25 () (=> tptp.subsetI2 @t24)) % 0.15/0.36 (define @t26 () (=> tptp.uniqinunit @t25)) % 0.15/0.36 (define @t27 () (not @t26)) % 0.15/0.36 (define @t28 () (tptp.setadjoin @t2 tptp.emptyset)) % 0.15/0.36 (define @t29 () (tptp.subset @t28 @t11)) % 0.15/0.36 (define @t30 () (tptp.in @t2 @t11)) % 0.15/0.36 (define @t31 () (not @t30)) % 0.15/0.36 (define @t32 () (forall @t23 (or @t31 @t29))) % 0.15/0.36 (define @t33 () (tptp.subset @t11 @t10)) % 0.15/0.36 (define @t34 () (tptp.in @t2 @t10)) % 0.15/0.36 (define @t35 () (forall @t15 (or @t31 @t34))) % 0.15/0.36 (define @t36 () (not @t35)) % 0.15/0.36 (define @t37 () (or @t36 @t12)) % 0.15/0.36 (define @t38 () (not @t14)) % 0.15/0.36 (define @t39 () (or @t38 @t13)) % 0.15/0.36 (define @t40 () (=> tptp.subsetI2 @t32)) % 0.15/0.36 (define @t41 () (tptp.setadjoin @t1 tptp.emptyset)) % 0.15/0.36 (define @t42 () (tptp.in @t2 @t41)) % 0.15/0.36 (define @t43 () (not @t6)) % 0.15/0.36 (define @t44 () (or @t43 @t3)) % 0.15/0.36 (define @t45 () (=> tptp.uniqinunit @t40)) % 0.15/0.36 (define @t46 () (or @t38 @t22)) % 0.15/0.36 (define @t47 () (@quantifiers_skolemize @t32 0)) % 0.15/0.36 (define @t48 () (@quantifiers_skolemize @t32 1)) % 0.15/0.36 (define @t49 () (tptp.setadjoin @t48 tptp.emptyset)) % 0.15/0.36 (define @t50 () (tptp.subset @t49 @t47)) % 0.15/0.36 (define @t51 () (tptp.in @t48 @t47)) % 0.15/0.36 (define @t52 () (not @t51)) % 0.15/0.36 (define @t53 () (or @t52 @t50)) % 0.15/0.36 (define @t54 () (@list true)) % 0.15/0.36 (define @t55 () (@list @t53)) % 0.15/0.36 (define @t56 () (forall @t15 (or (not (tptp.in @t2 @t49)) (tptp.in @t2 @t47)))) % 0.15/0.36 (define @t57 () (not @t56)) % 0.15/0.36 (define @t58 () (or @t57 @t50)) % 0.15/0.36 (define @t59 () (@quantifiers_skolemize @t56 0)) % 0.15/0.36 (define @t60 () (tptp.in @t59 @t47)) % 0.15/0.36 (define @t61 () (tptp.in @t59 @t49)) % 0.15/0.36 (define @t62 () (not @t61)) % 0.15/0.36 (define @t63 () (or @t62 @t60)) % 0.15/0.36 (define @t64 () (@list @t63)) % 0.15/0.36 (define @t65 () (or @t62 (= @t59 @t48))) % 0.15/0.36 (define @t66 () (forall @t7 (or (not @t42) @t3))) % 0.15/0.36 (define @t67 () (= @t48 @t59)) % 0.15/0.36 (define @t68 () (or @t62 @t67)) % 0.15/0.36 (assume @p1 @t9) % 0.15/0.36 (assume @p2 @t20) % 0.15/0.36 (assume @p3 @t27) % 0.15/0.36 (assume @p4 true) % 0.15/0.36 (step @p5 :rule evaluate :args ((= true false))) % 0.15/0.36 (step @p6 :rule refl :args (@t32)) % 0.15/0.36 (step @p7 :rule refl :args (@t33)) % 0.15/0.36 (step @p8 :rule refl :args (@t12)) % 0.15/0.36 (step @p9 :rule cong :premises (@p8 @p7) :args ((= @t12 @t33))) % 0.15/0.36 (step @p10 :rule symm :premises (@p9)) % 0.15/0.36 (step @p11 :rule eq_resolve :premises (@p8 @p10)) % 0.15/0.36 (step @p12 :rule refl :args (@t36)) % 0.15/0.36 (step @p13 :rule nary_cong :premises (@p12 @p11) :args (@t37)) % 0.15/0.36 (step @p14 :rule cong :premises (@p13) :args ((forall @t18 @t37))) % 0.15/0.36 (step @p15 :rule bool-impl-elim :args (@t35 @t12)) % 0.15/0.36 (step @p16 :rule cong :premises (@p15) :args ((forall @t18 (=> @t35 @t12)))) % 0.15/0.36 (step @p17 :rule trans :premises (@p16 @p14)) % 0.15/0.36 (step @p18 :rule refl :args (@t12)) % 0.15/0.36 (step @p19 :rule refl :args (@t34)) % 0.15/0.36 (step @p20 :rule refl :args (@t13)) % 0.15/0.36 (step @p21 :rule cong :premises (@p20 @p19) :args ((= @t13 @t34))) % 0.15/0.36 (step @p22 :rule symm :premises (@p21)) % 0.15/0.36 (step @p23 :rule eq_resolve :premises (@p20 @p22)) % 0.15/0.36 (step @p24 :rule refl :args (@t30)) % 0.15/0.36 (step @p25 :rule refl :args (@t14)) % 0.15/0.36 (step @p26 :rule cong :premises (@p25 @p24) :args ((= @t14 @t30))) % 0.15/0.36 (step @p27 :rule symm :premises (@p26)) % 0.15/0.36 (step @p28 :rule eq_resolve :premises (@p25 @p27)) % 0.15/0.36 (step @p29 :rule cong :premises (@p28) :args (@t38)) % 0.15/0.36 (step @p30 :rule nary_cong :premises (@p29 @p23) :args (@t39)) % 0.15/0.36 (step @p31 :rule cong :premises (@p30) :args ((forall @t15 @t39))) % 0.15/0.36 (step @p32 :rule bool-impl-elim :args (@t14 @t13)) % 0.15/0.36 (step @p33 :rule cong :premises (@p32) :args (@t16)) % 0.15/0.36 (step @p34 :rule trans :premises (@p33 @p31)) % 0.15/0.36 (step @p35 :rule cong :premises (@p34 @p18) :args (@t17)) % 0.15/0.36 (step @p36 :rule cong :premises (@p35) :args (@t19)) % 0.15/0.36 (step @p37 :rule trans :premises (@p36 @p17)) % 0.15/0.36 (step @p38 :rule refl :args (tptp.subsetI2)) % 0.15/0.36 (step @p39 :rule cong :premises (@p38 @p37) :args (@t20)) % 0.15/0.36 (step @p40 :rule eq_resolve :premises (@p2 @p39)) % 0.15/0.36 (step @p41 :rule cong :premises (@p40 @p6) :args (@t40)) % 0.15/0.36 (step @p42 :rule refl :args (@t3)) % 0.15/0.36 (step @p43 :rule refl :args ((tptp.in @t2 @t4))) % 0.15/0.36 (step @p44 :rule refl :args (@t41)) % 0.15/0.36 (step @p45 :rule refl :args (@t2)) % 0.15/0.36 (step @p46 :rule cong :premises (@p45 @p44) :args (@t42)) % 0.15/0.36 (step @p47 :rule trans :premises (@p46 @p43)) % 0.15/0.36 (step @p48 :rule refl :args (@t5)) % 0.15/0.36 (step @p49 :rule ho_cong :premises (@p48 @p44)) % 0.15/0.36 (step @p50 :rule cong :premises (@p49 @p47) :args ((= (_ @t5 @t41) @t42))) % 0.15/0.36 (step @p51 :rule symm :premises (@p50)) % 0.15/0.36 (step @p52 :rule refl :args (@t6)) % 0.15/0.36 (step @p53 :rule eq_resolve :premises (@p52 @p51)) % 0.15/0.36 (step @p54 :rule refl :args (@t4)) % 0.15/0.36 (step @p55 :rule cong :premises (@p54 @p44) :args ((= @t4 @t41))) % 0.15/0.36 (step @p56 :rule symm :premises (@p55)) % 0.15/0.36 (step @p57 :rule eq_resolve :premises (@p54 @p56)) % 0.15/0.36 (step @p58 :rule ho_cong :premises (@p48 @p57)) % 0.15/0.36 (step @p59 :rule trans :premises (@p58 @p53)) % 0.15/0.36 (step @p60 :rule cong :premises (@p59) :args (@t43)) % 0.15/0.36 (step @p61 :rule nary_cong :premises (@p60 @p42) :args (@t44)) % 0.15/0.36 (step @p62 :rule cong :premises (@p61) :args ((forall @t7 @t44))) % 0.15/0.36 (step @p63 :rule bool-impl-elim :args (@t6 @t3)) % 0.15/0.36 (step @p64 :rule cong :premises (@p63) :args (@t8)) % 0.15/0.36 (step @p65 :rule trans :premises (@p64 @p62)) % 0.15/0.36 (step @p66 :rule refl :args (tptp.uniqinunit)) % 0.15/0.36 (step @p67 :rule cong :premises (@p66 @p65) :args (@t9)) % 0.15/0.36 (step @p68 :rule eq_resolve :premises (@p1 @p67)) % 0.15/0.36 (step @p69 :rule cong :premises (@p68 @p41) :args (@t45)) % 0.15/0.36 (step @p70 :rule cong :premises (@p69) :args ((not @t45))) % 0.15/0.36 (step @p71 :rule refl :args ((tptp.subset @t21 @t11))) % 0.15/0.36 (step @p72 :rule refl :args (@t11)) % 0.15/0.36 (step @p73 :rule refl :args (@t28)) % 0.15/0.36 (step @p74 :rule cong :premises (@p73 @p72) :args (@t29)) % 0.15/0.36 (step @p75 :rule trans :premises (@p74 @p71)) % 0.15/0.36 (step @p76 :rule refl :args (tptp.subset)) % 0.15/0.36 (step @p77 :rule ho_cong :premises (@p76 @p73)) % 0.15/0.36 (step @p78 :rule ho_cong :premises (@p77 @p72)) % 0.15/0.36 (step @p79 :rule cong :premises (@p78 @p75) :args ((= (_ (_ tptp.subset @t28) @t11) @t29))) % 0.15/0.36 (step @p80 :rule symm :premises (@p79)) % 0.15/0.36 (step @p81 :rule refl :args (@t22)) % 0.15/0.36 (step @p82 :rule eq_resolve :premises (@p81 @p80)) % 0.15/0.36 (step @p83 :rule refl :args (@t21)) % 0.15/0.36 (step @p84 :rule cong :premises (@p83 @p73) :args ((= @t21 @t28))) % 0.15/0.36 (step @p85 :rule symm :premises (@p84)) % 0.15/0.36 (step @p86 :rule eq_resolve :premises (@p83 @p85)) % 0.15/0.36 (step @p87 :rule ho_cong :premises (@p76 @p86)) % 0.15/0.36 (step @p88 :rule ho_cong :premises (@p87 @p72)) % 0.15/0.36 (step @p89 :rule trans :premises (@p88 @p82)) % 0.15/0.36 (step @p90 :rule nary_cong :premises (@p29 @p89) :args (@t46)) % 0.15/0.36 (step @p91 :rule cong :premises (@p90) :args ((forall @t23 @t46))) % 0.15/0.36 (step @p92 :rule bool-impl-elim :args (@t14 @t22)) % 0.15/0.36 (step @p93 :rule cong :premises (@p92) :args (@t24)) % 0.15/0.36 (step @p94 :rule trans :premises (@p93 @p91)) % 0.15/0.36 (step @p95 :rule cong :premises (@p38 @p94) :args (@t25)) % 0.15/0.36 (step @p96 :rule cong :premises (@p66 @p95) :args (@t26)) % 0.15/0.36 (step @p97 :rule cong :premises (@p96) :args (@t27)) % 0.15/0.36 (step @p98 :rule trans :premises (@p97 @p70)) % 0.15/0.36 (step @p99 :rule eq_resolve :premises (@p3 @p98)) % 0.15/0.36 (step @p100 :rule not_implies_elim2 :premises (@p99)) % 0.15/0.36 (step @p101 :rule not_implies_elim1 :premises (@p100)) % 0.15/0.36 (step @p102 :rule instantiate :premises (@p101) :args ((@list @t49 @t47))) % 0.15/0.36 (step @p103 :rule not_implies_elim2 :premises (@p100)) % 0.15/0.36 (step @p104 :rule skolemize :premises (@p103)) % 0.15/0.36 (step @p105 :rule cnf_or_neg :args (@t53 1)) % 0.15/0.36 (step @p106 :rule chain_m_resolution :premises (@p105 @p104) :args ((not @t50) @t54 @t55)) % 0.15/0.36 (step @p107 :rule cnf_or_pos :args (@t58)) % 0.15/0.36 (step @p108 :rule reordering :premises (@p107) :args ((or @t50 @t57 (not @t58)))) % 0.15/0.36 (step @p109 :rule chain_m_resolution :premises (@p108 @p106 @p102) :args (@t57 (@list true false) (@list @t50 @t58))) % 0.15/0.36 (step @p110 :rule skolemize :premises (@p109)) % 0.15/0.36 (step @p111 :rule cnf_or_neg :args (@t63 1)) % 0.15/0.36 (step @p112 :rule chain_m_resolution :premises (@p111 @p110) :args ((not @t60) @t54 @t64)) % 0.15/0.36 (step @p113 :rule false_intro :premises (@p112)) % 0.15/0.36 (step @p114 :rule refl :args (@t47)) % 0.15/0.36 (step @p115 :rule not_implies_elim1 :premises (@p99)) % 0.15/0.36 (step @p116 :rule eq-symm :args (@t59 @t48)) % 0.15/0.36 (step @p117 :rule refl :args (@t62)) % 0.15/0.36 (step @p118 :rule nary_cong :premises (@p117 @p116) :args (@t65)) % 0.15/0.36 (step @p119 :rule refl :args (@t66)) % 0.15/0.36 (step @p120 :rule cong :premises (@p119 @p118) :args ((=> @t66 @t65))) % 0.15/0.36 (assume-push @p150 @t66) % 0.15/0.36 (step @p122 :rule instantiate :premises (@p115) :args ((@list @t59 @t48))) % 0.15/0.36 (step-pop @p151 :rule scope :premises (@p122)) % 0.15/0.36 (step @p123 :rule process_scope :premises (@p151) :args (@t65)) % 0.15/0.36 (step @p125 :rule eq_resolve :premises (@p123 @p120)) % 0.15/0.36 (step @p126 :rule implies_elim :premises (@p125)) % 0.15/0.36 (step @p127 :rule chain_m_resolution :premises (@p126 @p115) :args (@t68 (@list false) (@list @t66))) % 0.15/0.36 (step @p128 :rule bool-double-not-elim :args (@t61)) % 0.15/0.36 (step @p129 :rule refl :args (@t63)) % 0.15/0.36 (step @p130 :rule nary_cong :premises (@p129 @p128) :args ((or @t63 (not @t62)))) % 0.15/0.36 (step @p131 :rule cnf_or_neg :args (@t63 0)) % 0.15/0.36 (step @p132 :rule eq_resolve :premises (@p131 @p130)) % 0.15/0.36 (step @p133 :rule reordering :premises (@p132) :args ((or @t61 @t63))) % 0.15/0.36 (step @p134 :rule chain_m_resolution :premises (@p133 @p110) :args (@t61 @t54 @t64)) % 0.15/0.36 (step @p135 :rule cnf_or_pos :args (@t68)) % 0.15/0.36 (step @p136 :rule reordering :premises (@p135) :args ((or @t62 @t67 (not @t68)))) % 0.15/0.36 (step @p137 :rule chain_m_resolution :premises (@p136 @p134 @p127) :args (@t67 (@list false false) (@list @t61 @t68))) % 0.15/0.36 (step @p138 :rule cong :premises (@p137 @p114) :args (@t51)) % 0.15/0.36 (step @p139 :rule bool-double-not-elim :args (@t51)) % 0.15/0.36 (step @p140 :rule refl :args (@t53)) % 0.15/0.36 (step @p141 :rule nary_cong :premises (@p140 @p139) :args ((or @t53 (not @t52)))) % 0.15/0.36 (step @p142 :rule cnf_or_neg :args (@t53 0)) % 0.15/0.36 (step @p143 :rule eq_resolve :premises (@p142 @p141)) % 0.15/0.36 (step @p144 :rule reordering :premises (@p143) :args ((or @t51 @t53))) % 0.15/0.36 (step @p145 :rule chain_m_resolution :premises (@p144 @p104) :args (@t51 @t54 @t55)) % 0.15/0.36 (step @p146 :rule true_intro :premises (@p145)) % 0.15/0.36 (step @p147 :rule symm :premises (@p146)) % 0.15/0.36 (step @p148 :rule trans :premises (@p147 @p138 @p113)) % 0.15/0.36 (step @p149 false :rule eq_resolve :premises (@p148 @p5)) % 0.15/0.36 ) % 0.15/0.36 % SZS output end Proof % 0.15/0.36 % cvc5 exiting %------------------------------------------------------------------------------