%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU125+1 : TPTP v9.2.1. Released v3.3.0. % 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 08:50:37 AM UTC 2026 % Result : Theorem 30.19s 30.44s % Output : Proof 30.19s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.06 % Problem : SEU125+1 : TPTP v9.2.1. Released v3.3.0. % 0.00/0.07 % 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 11:30:30 EDT 2026 % 0.06/0.25 % CPUTime : % 0.06/0.33 %----Proving TF0_NAR, FOF, or CNF % 30.19/30.44 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 30.19/30.44 --- Run --no-e-matching --full-saturate-quant at 6... % 30.19/30.44 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 30.19/30.44 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 30.19/30.44 % SZS status Theorem % 30.19/30.44 % SZS output start Proof % 30.19/30.44 ( % 30.19/30.44 (declare-sort $$unsorted 0) % 30.19/30.44 (declare-const tptp.empty (-> $$unsorted Bool)) % 30.19/30.44 (declare-const tptp.empty_set $$unsorted) % 30.19/30.44 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 30.19/30.44 (declare-const tptp.set_union2 (-> $$unsorted $$unsorted $$unsorted)) % 30.19/30.44 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 30.19/30.44 (define @t1 () (@var "A" $$unsorted)) % 30.19/30.44 (define @t2 () (@var "B" $$unsorted)) % 30.19/30.44 (define @t3 () (tptp.in @t1 @t2)) % 30.19/30.44 (define @t4 () (@list @t1 @t2)) % 30.19/30.44 (define @t5 () (tptp.set_union2 @t2 @t1)) % 30.19/30.44 (define @t6 () (tptp.set_union2 @t1 @t2)) % 30.19/30.44 (define @t7 () (@var "D" $$unsorted)) % 30.19/30.44 (define @t8 () (@var "C" $$unsorted)) % 30.19/30.44 (define @t9 () (@list @t7)) % 30.19/30.44 (define @t10 () (forall @t9 (= (tptp.in @t7 @t8) (or (tptp.in @t7 @t1) (tptp.in @t7 @t2))))) % 30.19/30.44 (define @t11 () (= (= @t8 @t6) @t10)) % 30.19/30.44 (define @t12 () (@list @t1 @t2 @t8)) % 30.19/30.44 (define @t13 () (forall @t12 @t11)) % 30.19/30.44 (define @t14 () (tptp.in @t8 @t2)) % 30.19/30.44 (define @t15 () (tptp.in @t8 @t1)) % 30.19/30.44 (define @t16 () (@list @t8)) % 30.19/30.44 (define @t17 () (forall @t16 (=> @t15 @t14))) % 30.19/30.44 (define @t18 () (tptp.subset @t1 @t2)) % 30.19/30.44 (define @t19 () (= @t18 @t17)) % 30.19/30.44 (define @t20 () (forall @t4 @t19)) % 30.19/30.44 (define @t21 () (tptp.empty @t1)) % 30.19/30.44 (define @t22 () (not @t21)) % 30.19/30.44 (define @t23 () (@list @t1)) % 30.19/30.44 (define @t24 () (tptp.empty @t2)) % 30.19/30.44 (define @t25 () (tptp.subset (tptp.set_union2 @t1 @t8) @t2)) % 30.19/30.44 (define @t26 () (tptp.subset @t8 @t2)) % 30.19/30.44 (define @t27 () (and @t18 @t26)) % 30.19/30.44 (define @t28 () (forall @t12 (=> @t27 @t25))) % 30.19/30.44 (define @t29 () (not @t28)) % 30.19/30.44 (define @t30 () (not @t26)) % 30.19/30.44 (define @t31 () (not @t18)) % 30.19/30.44 (define @t32 () (or @t31 @t30 @t25)) % 30.19/30.44 (define @t33 () (forall @t12 @t32)) % 30.19/30.44 (define @t34 () (@quantifiers_skolemize @t33 1)) % 30.19/30.44 (define @t35 () (@quantifiers_skolemize @t33 2)) % 30.19/30.44 (define @t36 () (tptp.subset @t35 @t34)) % 30.19/30.44 (define @t37 () (@quantifiers_skolemize @t33 0)) % 30.19/30.44 (define @t38 () (tptp.set_union2 @t37 @t35)) % 30.19/30.44 (define @t39 () (tptp.subset @t38 @t34)) % 30.19/30.44 (define @t40 () (not @t36)) % 30.19/30.44 (define @t41 () (tptp.subset @t37 @t34)) % 30.19/30.44 (define @t42 () (not @t41)) % 30.19/30.44 (define @t43 () (or @t42 @t40 @t39)) % 30.19/30.44 (define @t44 () (@list true)) % 30.19/30.44 (define @t45 () (@list @t43)) % 30.19/30.44 (define @t46 () (tptp.in @t8 @t34)) % 30.19/30.44 (define @t47 () (forall @t16 (or (not (tptp.in @t8 @t35)) @t46))) % 30.19/30.44 (define @t48 () (= @t36 @t47)) % 30.19/30.44 (define @t49 () (@list false false)) % 30.19/30.44 (define @t50 () (= @t6 @t8)) % 30.19/30.44 (define @t51 () (tptp.in @t7 @t35)) % 30.19/30.44 (define @t52 () (tptp.in @t7 @t37)) % 30.19/30.44 (define @t53 () (or @t52 @t51)) % 30.19/30.44 (define @t54 () (tptp.in @t7 @t38)) % 30.19/30.44 (define @t55 () (= @t54 @t53)) % 30.19/30.44 (define @t56 () (forall @t9 @t55)) % 30.19/30.44 (define @t57 () (= @t38 @t38)) % 30.19/30.44 (define @t58 () (forall @t12 (= @t10 @t50))) % 30.19/30.44 (define @t59 () (= @t56 @t57)) % 30.19/30.44 (define @t60 () (@list false)) % 30.19/30.44 (define @t61 () (or @t51 @t52)) % 30.19/30.44 (define @t62 () (forall @t9 (= @t54 @t61))) % 30.19/30.44 (define @t63 () (forall @t16 (or (not (tptp.in @t8 @t38)) @t46))) % 30.19/30.44 (define @t64 () (@quantifiers_skolemize @t63 0)) % 30.19/30.44 (define @t65 () (@list @t64)) % 30.19/30.44 (define @t66 () (= @t39 @t63)) % 30.19/30.44 (define @t67 () (not @t63)) % 30.19/30.44 (define @t68 () (@list true false)) % 30.19/30.44 (define @t69 () (tptp.in @t64 @t38)) % 30.19/30.44 (define @t70 () (tptp.in @t64 @t34)) % 30.19/30.44 (define @t71 () (not @t69)) % 30.19/30.44 (define @t72 () (or @t71 @t70)) % 30.19/30.44 (define @t73 () (@list @t72)) % 30.19/30.44 (define @t74 () (tptp.in @t64 @t37)) % 30.19/30.44 (define @t75 () (tptp.in @t64 @t35)) % 30.19/30.44 (define @t76 () (or @t75 @t74)) % 30.19/30.44 (define @t77 () (= @t69 @t76)) % 30.19/30.44 (define @t78 () (forall @t16 (or (not (tptp.in @t8 @t37)) @t46))) % 30.19/30.44 (define @t79 () (= @t41 @t78)) % 30.19/30.44 (define @t80 () (not @t74)) % 30.19/30.44 (define @t81 () (or @t80 @t70)) % 30.19/30.44 (define @t82 () (not @t75)) % 30.19/30.44 (define @t83 () (or @t82 @t70)) % 30.19/30.44 (define @t84 () (not @t83)) % 30.19/30.44 (assume @p1 (forall @t4 (=> @t3 (not (tptp.in @t2 @t1))))) % 30.19/30.44 (assume @p2 (forall @t4 (= @t6 @t5))) % 30.19/30.44 (assume @p3 @t13) % 30.19/30.44 (assume @p4 @t20) % 30.19/30.44 (assume @p5 true) % 30.19/30.44 (assume @p6 (tptp.empty tptp.empty_set)) % 30.19/30.44 (assume @p7 (forall @t4 (=> @t22 (not (tptp.empty @t6))))) % 30.19/30.44 (assume @p8 (forall @t4 (=> @t22 (not (tptp.empty @t5))))) % 30.19/30.44 (assume @p9 (forall @t4 (= (tptp.set_union2 @t1 @t1) @t1))) % 30.19/30.44 (assume @p10 (exists @t23 @t21)) % 30.19/30.44 (assume @p11 (exists @t23 @t22)) % 30.19/30.44 (assume @p12 (forall @t4 (tptp.subset @t1 @t1))) % 30.19/30.44 (assume @p13 (forall @t23 (= (tptp.set_union2 @t1 tptp.empty_set) @t1))) % 30.19/30.44 (assume @p14 (forall @t23 (=> @t21 (= @t1 tptp.empty_set)))) % 30.19/30.44 (assume @p15 (forall @t4 (not (and @t3 @t24)))) % 30.19/30.44 (assume @p16 (forall @t4 (not (and @t21 (not (= @t1 @t2)) @t24)))) % 30.19/30.44 (assume @p17 @t29) % 30.19/30.44 (step @p18 :rule bool-impl-elim :args (@t15 @t14)) % 30.19/30.44 (step @p19 :rule cong :premises (@p18) :args (@t17)) % 30.19/30.44 (step @p20 :rule refl :args (@t18)) % 30.19/30.44 (step @p21 :rule cong :premises (@p20 @p19) :args (@t19)) % 30.19/30.44 (step @p22 :rule cong :premises (@p21) :args (@t20)) % 30.19/30.44 (step @p23 :rule eq_resolve :premises (@p4 @p22)) % 30.19/30.44 (step @p24 :rule instantiate :premises (@p23) :args ((@list @t35 @t34))) % 30.19/30.44 (step @p25 :rule aci_norm :args ((= (or (or @t31 @t30) @t25) @t32))) % 30.19/30.44 (step @p26 :rule refl :args (@t25)) % 30.19/30.44 (step @p27 :rule bool-and-de-morgan :args (@t18 @t26 true)) % 30.19/30.44 (step @p28 :rule nary_cong :premises (@p27 @p26) :args ((or (not @t27) @t25))) % 30.19/30.44 (step @p29 :rule trans :premises (@p28 @p25)) % 30.19/30.44 (step @p30 :rule bool-impl-elim :args (@t27 @t25)) % 30.19/30.44 (step @p31 :rule trans :premises (@p30 @p29)) % 30.19/30.44 (step @p32 :rule cong :premises (@p31) :args (@t28)) % 30.19/30.44 (step @p33 :rule cong :premises (@p32) :args (@t29)) % 30.19/30.44 (step @p34 :rule eq_resolve :premises (@p17 @p33)) % 30.19/30.44 (step @p35 :rule skolemize :premises (@p34)) % 30.19/30.44 (step @p36 :rule bool-double-not-elim :args (@t36)) % 30.19/30.44 (step @p37 :rule refl :args (@t43)) % 30.19/30.44 (step @p38 :rule nary_cong :premises (@p37 @p36) :args ((or @t43 (not @t40)))) % 30.19/30.44 (step @p39 :rule cnf_or_neg :args (@t43 1)) % 30.19/30.44 (step @p40 :rule eq_resolve :premises (@p39 @p38)) % 30.19/30.44 (step @p41 :rule reordering :premises (@p40) :args ((or @t36 @t43))) % 30.19/30.44 (step @p42 :rule chain_m_resolution :premises (@p41 @p35) :args (@t36 @t44 @t45)) % 30.19/30.44 (step @p43 :rule cnf_equiv_pos1 :args (@t48)) % 30.19/30.44 (step @p44 :rule reordering :premises (@p43) :args ((or @t40 @t47 (not @t48)))) % 30.19/30.44 (step @p45 :rule chain_m_resolution :premises (@p44 @p42 @p24) :args (@t47 @t49 (@list @t36 @t48))) % 30.19/30.44 (step @p46 :rule eq-symm :args (@t50 @t10)) % 30.19/30.44 (step @p47 :rule refl :args (@t10)) % 30.19/30.44 (step @p48 :rule eq-symm :args (@t8 @t6)) % 30.19/30.44 (step @p49 :rule cong :premises (@p48 @p47) :args (@t11)) % 30.19/30.44 (step @p50 :rule trans :premises (@p49 @p46)) % 30.19/30.44 (step @p51 :rule cong :premises (@p50) :args (@t13)) % 30.19/30.44 (step @p52 :rule eq_resolve :premises (@p3 @p51)) % 30.19/30.44 (step @p53 :rule bool-eq-true :args (@t56)) % 30.19/30.44 (step @p54 :rule eq-symm :args (true @t56)) % 30.19/30.44 (step @p55 :rule trans :premises (@p54 @p53)) % 30.19/30.44 (step @p56 :rule refl :args (@t56)) % 30.19/30.44 (step @p57 :rule eq-refl :args (@t38)) % 30.19/30.44 (step @p58 :rule cong :premises (@p57 @p56) :args ((= @t57 @t56))) % 30.19/30.44 (step @p59 :rule trans :premises (@p58 @p55)) % 30.19/30.44 (step @p60 :rule eq-symm :args (@t56 @t57)) % 30.19/30.44 (step @p61 :rule trans :premises (@p60 @p59)) % 30.19/30.44 (step @p62 :rule refl :args (@t58)) % 30.19/30.44 (step @p63 :rule cong :premises (@p62 @p61) :args ((=> @t58 @t59))) % 30.19/30.44 (assume-push @p127 @t58) % 30.19/30.44 (step @p65 :rule instantiate :premises (@p52) :args ((@list @t37 @t35 @t38))) % 30.19/30.44 (step-pop @p128 :rule scope :premises (@p65)) % 30.19/30.44 (step @p66 :rule process_scope :premises (@p128) :args (@t59)) % 30.19/30.44 (step @p68 :rule eq_resolve :premises (@p66 @p63)) % 30.19/30.44 (step @p69 :rule implies_elim :premises (@p68)) % 30.19/30.44 (step @p70 :rule chain_m_resolution :premises (@p69 @p52) :args (@t56 @t60 (@list @t58))) % 30.19/30.44 (step @p71 :rule aci_norm :args ((= @t53 @t61))) % 30.19/30.44 (step @p72 :rule refl :args (@t54)) % 30.19/30.44 (step @p73 :rule cong :premises (@p72 @p71) :args (@t55)) % 30.19/30.44 (step @p74 :rule cong :premises (@p73) :args (@t56)) % 30.19/30.44 (step @p75 :rule true_intro :premises (@p74)) % 30.19/30.44 (step @p76 :rule eq-symm :args (@t62 @t56)) % 30.19/30.44 (step @p77 :rule trans :premises (@p76 @p75)) % 30.19/30.44 (step @p78 :rule true_elim :premises (@p77)) % 30.19/30.44 (step @p79 :rule equiv_elim2 :premises (@p78)) % 30.19/30.44 (step @p80 :rule chain_m_resolution :premises (@p79 @p70) :args (@t62 @t60 (@list @t56))) % 30.19/30.44 (step @p81 :rule instantiate :premises (@p80) :args (@t65)) % 30.19/30.44 (step @p82 :rule instantiate :premises (@p23) :args ((@list @t38 @t34))) % 30.19/30.44 (step @p83 :rule cnf_or_neg :args (@t43 2)) % 30.19/30.44 (step @p84 :rule chain_m_resolution :premises (@p83 @p35) :args ((not @t39) @t44 @t45)) % 30.19/30.44 (step @p85 :rule cnf_equiv_pos2 :args (@t66)) % 30.19/30.44 (step @p86 :rule reordering :premises (@p85) :args ((or @t39 @t67 (not @t66)))) % 30.19/30.45 (step @p87 :rule chain_m_resolution :premises (@p86 @p84 @p82) :args (@t67 @t68 (@list @t39 @t66))) % 30.19/30.45 (step @p88 :rule skolemize :premises (@p87)) % 30.19/30.45 (step @p89 :rule bool-double-not-elim :args (@t69)) % 30.19/30.45 (step @p90 :rule refl :args (@t72)) % 30.19/30.45 (step @p91 :rule nary_cong :premises (@p90 @p89) :args ((or @t72 (not @t71)))) % 30.19/30.45 (step @p92 :rule cnf_or_neg :args (@t72 0)) % 30.19/30.45 (step @p93 :rule eq_resolve :premises (@p92 @p91)) % 30.19/30.45 (step @p94 :rule reordering :premises (@p93) :args ((or @t69 @t72))) % 30.19/30.45 (step @p95 :rule chain_m_resolution :premises (@p94 @p88) :args (@t69 @t44 @t73)) % 30.19/30.45 (step @p96 :rule cnf_equiv_pos1 :args (@t77)) % 30.19/30.45 (step @p97 :rule reordering :premises (@p96) :args ((or @t71 @t76 (not @t77)))) % 30.19/30.45 (step @p98 :rule chain_m_resolution :premises (@p97 @p95 @p81) :args (@t76 @t49 (@list @t69 @t77))) % 30.19/30.45 (step @p99 :rule instantiate :premises (@p23) :args ((@list @t37 @t34))) % 30.19/30.45 (step @p100 :rule bool-double-not-elim :args (@t41)) % 30.19/30.45 (step @p101 :rule nary_cong :premises (@p37 @p100) :args ((or @t43 (not @t42)))) % 30.19/30.45 (step @p102 :rule cnf_or_neg :args (@t43 0)) % 30.19/30.45 (step @p103 :rule eq_resolve :premises (@p102 @p101)) % 30.19/30.45 (step @p104 :rule reordering :premises (@p103) :args ((or @t41 @t43))) % 30.19/30.45 (step @p105 :rule chain_m_resolution :premises (@p104 @p35) :args (@t41 @t44 @t45)) % 30.19/30.45 (step @p106 :rule cnf_equiv_pos1 :args (@t79)) % 30.19/30.45 (step @p107 :rule reordering :premises (@p106) :args ((or @t42 @t78 (not @t79)))) % 30.19/30.45 (step @p108 :rule chain_m_resolution :premises (@p107 @p105 @p99) :args (@t78 @t49 (@list @t41 @t79))) % 30.19/30.45 (step @p109 :rule instantiate :premises (@p108) :args (@t65)) % 30.19/30.45 (step @p110 :rule cnf_or_neg :args (@t72 1)) % 30.19/30.45 (step @p111 :rule chain_m_resolution :premises (@p110 @p88) :args ((not @t70) @t44 @t73)) % 30.19/30.45 (step @p112 :rule cnf_or_pos :args (@t81)) % 30.19/30.45 (step @p113 :rule reordering :premises (@p112) :args ((or @t70 @t80 (not @t81)))) % 30.19/30.45 (step @p114 :rule chain_m_resolution :premises (@p113 @p111 @p109) :args (@t80 @t68 (@list @t70 @t81))) % 30.19/30.45 (step @p115 :rule cnf_or_pos :args (@t76)) % 30.19/30.45 (step @p116 :rule reordering :premises (@p115) :args ((or @t75 @t74 (not @t76)))) % 30.19/30.45 (step @p117 :rule chain_m_resolution :premises (@p116 @p114 @p98) :args (@t75 @t68 (@list @t74 @t76))) % 30.19/30.45 (step @p118 :rule cnf_or_pos :args (@t83)) % 30.19/30.45 (step @p119 :rule reordering :premises (@p118) :args ((or @t70 @t82 @t84))) % 30.19/30.45 (step @p120 :rule chain_m_resolution :premises (@p119 @p111 @p117) :args (@t84 @t68 (@list @t70 @t75))) % 30.19/30.45 (assume-push @p129 @t47) % 30.19/30.45 (step @p122 :rule instantiate :premises (@p45) :args (@t65)) % 30.19/30.45 (step-pop @p130 :rule scope :premises (@p122)) % 30.19/30.45 (step @p123 :rule process_scope :premises (@p130) :args (@t83)) % 30.19/30.45 (step @p125 :rule implies_elim :premises (@p123)) % 30.19/30.45 (step @p126 false :rule chain_m_resolution :premises (@p125 @p120 @p45) :args (false @t68 (@list @t83 @t47))) % 30.19/30.45 ) % 30.19/30.45 % SZS output end Proof % 30.19/30.45 % cvc5 exiting %------------------------------------------------------------------------------