%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU570^2 : 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 : n015.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 08:52:14 AM UTC 2026 % Result : Theorem 0.34s 0.57s % Output : Proof 0.34s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.13 % Problem : SEU570^2 : 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 % 0.18/0.35 % Computer : n015.cluster.edu % 0.18/0.35 % Model : x86_64 x86_64 % 0.18/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.35 % Memory : 8042.1875MB % 0.18/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.35 % CPULimit : 300 % 0.18/0.35 % WCLimit : 300 % 0.18/0.35 % DateTime : Tue Jun 2 17:42:19 EDT 2026 % 0.18/0.35 % CPUTime : % 0.34/0.50 %----Proving TH0 % 0.34/0.57 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.34/0.57 % SZS status Theorem % 0.34/0.57 % SZS output start Proof % 0.34/0.57 ( % 0.34/0.57 (declare-sort $$unsorted 0) % 0.34/0.57 (declare-const tptp.subsetI2 Bool) % 0.34/0.57 (declare-const tptp.subsetE Bool) % 0.34/0.57 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.34/0.57 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.34/0.57 (define @t1 () (@var "B" $$unsorted)) % 0.34/0.57 (define @t2 () (@var "A" $$unsorted)) % 0.34/0.57 (define @t3 () (_ tptp.subset @t2)) % 0.34/0.57 (define @t4 () (_ @t3 @t1)) % 0.34/0.57 (define @t5 () (@var "Xx" $$unsorted)) % 0.34/0.57 (define @t6 () (_ tptp.in @t5)) % 0.34/0.57 (define @t7 () (_ @t6 @t1)) % 0.34/0.57 (define @t8 () (_ @t6 @t2)) % 0.34/0.57 (define @t9 () (=> @t8 @t7)) % 0.34/0.57 (define @t10 () (@list @t5)) % 0.34/0.57 (define @t11 () (forall @t10 @t9)) % 0.34/0.57 (define @t12 () (=> @t11 @t4)) % 0.34/0.57 (define @t13 () (@list @t2 @t1)) % 0.34/0.57 (define @t14 () (forall @t13 @t12)) % 0.34/0.57 (define @t15 () (= tptp.subsetI2 @t14)) % 0.34/0.57 (define @t16 () (@list @t2 @t1 @t5)) % 0.34/0.57 (define @t17 () (forall @t16 (=> @t4 @t9))) % 0.34/0.57 (define @t18 () (= tptp.subsetE @t17)) % 0.34/0.57 (define @t19 () (@var "C" $$unsorted)) % 0.34/0.57 (define @t20 () (_ @t3 @t19)) % 0.34/0.57 (define @t21 () (_ (_ tptp.subset @t1) @t19)) % 0.34/0.57 (define @t22 () (=> @t21 @t20)) % 0.34/0.57 (define @t23 () (@list @t2 @t1 @t19)) % 0.34/0.57 (define @t24 () (forall @t23 (=> @t4 @t22))) % 0.34/0.57 (define @t25 () (=> tptp.subsetE @t24)) % 0.34/0.57 (define @t26 () (=> tptp.subsetI2 @t25)) % 0.34/0.57 (define @t27 () (not @t26)) % 0.34/0.57 (define @t28 () (tptp.subset @t2 @t19)) % 0.34/0.57 (define @t29 () (tptp.subset @t1 @t19)) % 0.34/0.57 (define @t30 () (tptp.subset @t2 @t1)) % 0.34/0.57 (define @t31 () (not @t30)) % 0.34/0.57 (define @t32 () (forall @t23 (or @t31 (not @t29) @t28))) % 0.34/0.57 (define @t33 () (tptp.in @t5 @t1)) % 0.34/0.57 (define @t34 () (tptp.in @t5 @t2)) % 0.34/0.57 (define @t35 () (not @t8)) % 0.34/0.57 (define @t36 () (not @t4)) % 0.34/0.57 (define @t37 () (or @t36 @t35 @t7)) % 0.34/0.57 (define @t38 () (or @t35 @t7)) % 0.34/0.57 (define @t39 () (=> tptp.subsetE @t32)) % 0.34/0.57 (define @t40 () (not @t34)) % 0.34/0.57 (define @t41 () (forall @t10 (or @t40 @t33))) % 0.34/0.57 (define @t42 () (not @t41)) % 0.34/0.57 (define @t43 () (or @t42 @t4)) % 0.34/0.57 (define @t44 () (=> tptp.subsetI2 @t39)) % 0.34/0.57 (define @t45 () (not @t21)) % 0.34/0.57 (define @t46 () (or @t36 @t45 @t20)) % 0.34/0.57 (define @t47 () (@quantifiers_skolemize @t32 2)) % 0.34/0.57 (define @t48 () (@quantifiers_skolemize @t32 0)) % 0.34/0.57 (define @t49 () (forall @t10 (or (not (tptp.in @t5 @t48)) (tptp.in @t5 @t47)))) % 0.34/0.57 (define @t50 () (@quantifiers_skolemize @t49 0)) % 0.34/0.57 (define @t51 () (@quantifiers_skolemize @t32 1)) % 0.34/0.57 (define @t52 () (tptp.subset @t48 @t47)) % 0.34/0.57 (define @t53 () (tptp.subset @t51 @t47)) % 0.34/0.57 (define @t54 () (not @t53)) % 0.34/0.57 (define @t55 () (tptp.subset @t48 @t51)) % 0.34/0.57 (define @t56 () (not @t55)) % 0.34/0.57 (define @t57 () (or @t56 @t54 @t52)) % 0.34/0.57 (define @t58 () (@list true)) % 0.34/0.57 (define @t59 () (@list @t57)) % 0.34/0.57 (define @t60 () (not @t49)) % 0.34/0.57 (define @t61 () (or @t60 @t52)) % 0.34/0.57 (define @t62 () (@list true false)) % 0.34/0.57 (define @t63 () (tptp.in @t50 @t48)) % 0.34/0.57 (define @t64 () (tptp.in @t50 @t47)) % 0.34/0.57 (define @t65 () (not @t63)) % 0.34/0.57 (define @t66 () (or @t65 @t64)) % 0.34/0.57 (define @t67 () (@list @t66)) % 0.34/0.57 (define @t68 () (tptp.in @t50 @t51)) % 0.34/0.57 (define @t69 () (or @t56 @t65 @t68)) % 0.34/0.57 (define @t70 () (not @t68)) % 0.34/0.57 (define @t71 () (or @t54 @t70 @t64)) % 0.34/0.57 (define @t72 () (not @t71)) % 0.34/0.57 (define @t73 () (forall @t16 (or @t31 @t40 @t33))) % 0.34/0.57 (assume @p1 @t15) % 0.34/0.57 (assume @p2 @t18) % 0.34/0.57 (assume @p3 @t27) % 0.34/0.57 (assume @p4 true) % 0.34/0.57 (step @p5 :rule refl :args (@t32)) % 0.34/0.57 (step @p6 :rule refl :args (@t33)) % 0.34/0.57 (step @p7 :rule refl :args (@t7)) % 0.34/0.57 (step @p8 :rule cong :premises (@p7 @p6) :args ((= @t7 @t33))) % 0.34/0.57 (step @p9 :rule symm :premises (@p8)) % 0.34/0.57 (step @p10 :rule eq_resolve :premises (@p7 @p9)) % 0.34/0.57 (step @p11 :rule refl :args (@t34)) % 0.34/0.57 (step @p12 :rule refl :args (@t8)) % 0.34/0.57 (step @p13 :rule cong :premises (@p12 @p11) :args ((= @t8 @t34))) % 0.34/0.57 (step @p14 :rule symm :premises (@p13)) % 0.34/0.57 (step @p15 :rule eq_resolve :premises (@p12 @p14)) % 0.34/0.57 (step @p16 :rule cong :premises (@p15) :args (@t35)) % 0.34/0.57 (step @p17 :rule refl :args (@t30)) % 0.34/0.57 (step @p18 :rule refl :args (@t4)) % 0.34/0.57 (step @p19 :rule cong :premises (@p18 @p17) :args ((= @t4 @t30))) % 0.34/0.57 (step @p20 :rule symm :premises (@p19)) % 0.34/0.57 (step @p21 :rule eq_resolve :premises (@p18 @p20)) % 0.34/0.57 (step @p22 :rule cong :premises (@p21) :args (@t36)) % 0.34/0.57 (step @p23 :rule nary_cong :premises (@p22 @p16 @p10) :args (@t37)) % 0.34/0.57 (step @p24 :rule cong :premises (@p23) :args ((forall @t16 @t37))) % 0.34/0.57 (step @p25 :rule aci_norm :args ((= (or @t36 @t38) @t37))) % 0.34/0.57 (step @p26 :rule bool-impl-elim :args (@t8 @t7)) % 0.34/0.57 (step @p27 :rule refl :args (@t36)) % 0.34/0.57 (step @p28 :rule nary_cong :premises (@p27 @p26) :args ((or @t36 @t9))) % 0.34/0.57 (step @p29 :rule trans :premises (@p28 @p25)) % 0.34/0.57 (step @p30 :rule bool-impl-elim :args (@t4 @t9)) % 0.34/0.57 (step @p31 :rule trans :premises (@p30 @p29)) % 0.34/0.57 (step @p32 :rule cong :premises (@p31) :args (@t17)) % 0.34/0.57 (step @p33 :rule trans :premises (@p32 @p24)) % 0.34/0.57 (step @p34 :rule refl :args (tptp.subsetE)) % 0.34/0.57 (step @p35 :rule cong :premises (@p34 @p33) :args (@t18)) % 0.34/0.57 (step @p36 :rule eq_resolve :premises (@p2 @p35)) % 0.34/0.57 (step @p37 :rule cong :premises (@p36 @p5) :args (@t39)) % 0.34/0.57 (step @p38 :rule refl :args (@t42)) % 0.34/0.57 (step @p39 :rule nary_cong :premises (@p38 @p21) :args (@t43)) % 0.34/0.57 (step @p40 :rule cong :premises (@p39) :args ((forall @t13 @t43))) % 0.34/0.57 (step @p41 :rule bool-impl-elim :args (@t41 @t4)) % 0.34/0.57 (step @p42 :rule cong :premises (@p41) :args ((forall @t13 (=> @t41 @t4)))) % 0.34/0.57 (step @p43 :rule trans :premises (@p42 @p40)) % 0.34/0.57 (step @p44 :rule refl :args (@t4)) % 0.34/0.57 (step @p45 :rule nary_cong :premises (@p16 @p10) :args (@t38)) % 0.34/0.57 (step @p46 :rule cong :premises (@p45) :args ((forall @t10 @t38))) % 0.34/0.57 (step @p47 :rule cong :premises (@p26) :args (@t11)) % 0.34/0.57 (step @p48 :rule trans :premises (@p47 @p46)) % 0.34/0.57 (step @p49 :rule cong :premises (@p48 @p44) :args (@t12)) % 0.34/0.57 (step @p50 :rule cong :premises (@p49) :args (@t14)) % 0.34/0.57 (step @p51 :rule trans :premises (@p50 @p43)) % 0.34/0.57 (step @p52 :rule refl :args (tptp.subsetI2)) % 0.34/0.57 (step @p53 :rule cong :premises (@p52 @p51) :args (@t15)) % 0.34/0.57 (step @p54 :rule eq_resolve :premises (@p1 @p53)) % 0.34/0.57 (step @p55 :rule cong :premises (@p54 @p37) :args (@t44)) % 0.34/0.57 (step @p56 :rule cong :premises (@p55) :args ((not @t44))) % 0.34/0.57 (step @p57 :rule refl :args (@t28)) % 0.34/0.57 (step @p58 :rule refl :args (@t20)) % 0.34/0.57 (step @p59 :rule cong :premises (@p58 @p57) :args ((= @t20 @t28))) % 0.34/0.57 (step @p60 :rule symm :premises (@p59)) % 0.34/0.57 (step @p61 :rule eq_resolve :premises (@p58 @p60)) % 0.34/0.57 (step @p62 :rule refl :args (@t29)) % 0.34/0.57 (step @p63 :rule refl :args (@t21)) % 0.34/0.57 (step @p64 :rule cong :premises (@p63 @p62) :args ((= @t21 @t29))) % 0.34/0.57 (step @p65 :rule symm :premises (@p64)) % 0.34/0.57 (step @p66 :rule eq_resolve :premises (@p63 @p65)) % 0.34/0.57 (step @p67 :rule cong :premises (@p66) :args (@t45)) % 0.34/0.57 (step @p68 :rule nary_cong :premises (@p22 @p67 @p61) :args (@t46)) % 0.34/0.57 (step @p69 :rule cong :premises (@p68) :args ((forall @t23 @t46))) % 0.34/0.57 (step @p70 :rule aci_norm :args ((= (or @t36 (or @t45 @t20)) @t46))) % 0.34/0.57 (step @p71 :rule bool-impl-elim :args (@t21 @t20)) % 0.34/0.57 (step @p72 :rule nary_cong :premises (@p27 @p71) :args ((or @t36 @t22))) % 0.34/0.57 (step @p73 :rule trans :premises (@p72 @p70)) % 0.34/0.57 (step @p74 :rule bool-impl-elim :args (@t4 @t22)) % 0.34/0.57 (step @p75 :rule trans :premises (@p74 @p73)) % 0.34/0.57 (step @p76 :rule cong :premises (@p75) :args (@t24)) % 0.34/0.57 (step @p77 :rule trans :premises (@p76 @p69)) % 0.34/0.57 (step @p78 :rule cong :premises (@p34 @p77) :args (@t25)) % 0.34/0.57 (step @p79 :rule cong :premises (@p52 @p78) :args (@t26)) % 0.34/0.57 (step @p80 :rule cong :premises (@p79) :args (@t27)) % 0.34/0.57 (step @p81 :rule trans :premises (@p80 @p56)) % 0.34/0.57 (step @p82 :rule eq_resolve :premises (@p3 @p81)) % 0.34/0.57 (step @p83 :rule not_implies_elim2 :premises (@p82)) % 0.34/0.57 (step @p84 :rule not_implies_elim1 :premises (@p83)) % 0.34/0.57 (step @p85 :rule instantiate :premises (@p84) :args ((@list @t48 @t51 @t50))) % 0.34/0.57 (step @p86 :rule not_implies_elim1 :premises (@p82)) % 0.34/0.57 (step @p87 :rule instantiate :premises (@p86) :args ((@list @t48 @t47))) % 0.34/0.57 (step @p88 :rule not_implies_elim2 :premises (@p83)) % 0.34/0.57 (step @p89 :rule skolemize :premises (@p88)) % 0.34/0.57 (step @p90 :rule cnf_or_neg :args (@t57 2)) % 0.34/0.57 (step @p91 :rule chain_m_resolution :premises (@p90 @p89) :args ((not @t52) @t58 @t59)) % 0.34/0.57 (step @p92 :rule cnf_or_pos :args (@t61)) % 0.34/0.57 (step @p93 :rule reordering :premises (@p92) :args ((or @t52 @t60 (not @t61)))) % 0.34/0.57 (step @p94 :rule chain_m_resolution :premises (@p93 @p91 @p87) :args (@t60 @t62 (@list @t52 @t61))) % 0.34/0.57 (step @p95 :rule skolemize :premises (@p94)) % 0.34/0.57 (step @p96 :rule bool-double-not-elim :args (@t63)) % 0.34/0.57 (step @p97 :rule refl :args (@t66)) % 0.34/0.57 (step @p98 :rule nary_cong :premises (@p97 @p96) :args ((or @t66 (not @t65)))) % 0.34/0.57 (step @p99 :rule cnf_or_neg :args (@t66 0)) % 0.34/0.57 (step @p100 :rule eq_resolve :premises (@p99 @p98)) % 0.34/0.57 (step @p101 :rule reordering :premises (@p100) :args ((or @t63 @t66))) % 0.34/0.57 (step @p102 :rule chain_m_resolution :premises (@p101 @p95) :args (@t63 @t58 @t67)) % 0.34/0.57 (step @p103 :rule bool-double-not-elim :args (@t55)) % 0.34/0.57 (step @p104 :rule refl :args (@t57)) % 0.34/0.57 (step @p105 :rule nary_cong :premises (@p104 @p103) :args ((or @t57 (not @t56)))) % 0.34/0.57 (step @p106 :rule cnf_or_neg :args (@t57 0)) % 0.34/0.57 (step @p107 :rule eq_resolve :premises (@p106 @p105)) % 0.34/0.57 (step @p108 :rule reordering :premises (@p107) :args ((or @t55 @t57))) % 0.34/0.57 (step @p109 :rule chain_m_resolution :premises (@p108 @p89) :args (@t55 @t58 @t59)) % 0.34/0.57 (step @p110 :rule cnf_or_pos :args (@t69)) % 0.34/0.57 (step @p111 :rule reordering :premises (@p110) :args ((or @t56 @t65 @t68 (not @t69)))) % 0.34/0.57 (step @p112 :rule chain_m_resolution :premises (@p111 @p109 @p102 @p85) :args (@t68 (@list false false false) (@list @t55 @t63 @t69))) % 0.34/0.57 (step @p113 :rule cnf_or_neg :args (@t66 1)) % 0.34/0.57 (step @p114 :rule chain_m_resolution :premises (@p113 @p95) :args ((not @t64) @t58 @t67)) % 0.34/0.57 (step @p115 :rule bool-double-not-elim :args (@t53)) % 0.34/0.57 (step @p116 :rule nary_cong :premises (@p104 @p115) :args ((or @t57 (not @t54)))) % 0.34/0.57 (step @p117 :rule cnf_or_neg :args (@t57 1)) % 0.34/0.57 (step @p118 :rule eq_resolve :premises (@p117 @p116)) % 0.34/0.57 (step @p119 :rule reordering :premises (@p118) :args ((or @t53 @t57))) % 0.34/0.57 (step @p120 :rule chain_m_resolution :premises (@p119 @p89) :args (@t53 @t58 @t59)) % 0.34/0.57 (step @p121 :rule cnf_or_pos :args (@t71)) % 0.34/0.57 (step @p122 :rule reordering :premises (@p121) :args ((or @t54 @t64 @t70 @t72))) % 0.34/0.57 (step @p123 :rule chain_m_resolution :premises (@p122 @p120 @p114 @p112) :args (@t72 (@list false true false) (@list @t53 @t64 @t68))) % 0.34/0.57 (assume-push @p130 @t73) % 0.34/0.57 (step @p125 :rule instantiate :premises (@p84) :args ((@list @t51 @t47 @t50))) % 0.34/0.57 (step-pop @p131 :rule scope :premises (@p125)) % 0.34/0.57 (step @p126 :rule process_scope :premises (@p131) :args (@t71)) % 0.34/0.57 (step @p128 :rule implies_elim :premises (@p126)) % 0.34/0.57 (step @p129 false :rule chain_m_resolution :premises (@p128 @p123 @p84) :args (false @t62 (@list @t71 @t73))) % 0.34/0.57 ) % 0.34/0.57 % SZS output end Proof % 0.34/0.57 % cvc5 exiting %------------------------------------------------------------------------------