%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU131+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 : n023.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 08:50:39 AM UTC 2026 % Result : Theorem 0.37s 0.62s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU131+1 : TPTP v9.2.1. Released v3.3.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n023.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 16:32:13 EDT 2026 % 0.16/0.35 % CPUTime : % 0.30/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.37/0.62 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.37/0.62 % SZS status Theorem % 0.37/0.62 % SZS output start Proof % 0.37/0.62 ( % 0.37/0.62 (declare-sort $$unsorted 0) % 0.37/0.62 (declare-const tptp.empty (-> $$unsorted Bool)) % 0.37/0.62 (declare-const tptp.set_difference (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.62 (declare-const tptp.empty_set $$unsorted) % 0.37/0.62 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.37/0.62 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.37/0.62 (define @t1 () (@var "A" $$unsorted)) % 0.37/0.62 (define @t2 () (@var "B" $$unsorted)) % 0.37/0.62 (define @t3 () (tptp.in @t1 @t2)) % 0.37/0.62 (define @t4 () (@list @t1 @t2)) % 0.37/0.62 (define @t5 () (@var "C" $$unsorted)) % 0.37/0.62 (define @t6 () (tptp.in @t5 @t2)) % 0.37/0.62 (define @t7 () (tptp.in @t5 @t1)) % 0.37/0.62 (define @t8 () (@list @t5)) % 0.37/0.62 (define @t9 () (forall @t8 (=> @t7 @t6))) % 0.37/0.62 (define @t10 () (tptp.subset @t1 @t2)) % 0.37/0.62 (define @t11 () (= @t10 @t9)) % 0.37/0.62 (define @t12 () (forall @t4 @t11)) % 0.37/0.62 (define @t13 () (@var "D" $$unsorted)) % 0.37/0.62 (define @t14 () (@list @t13)) % 0.37/0.62 (define @t15 () (tptp.set_difference @t1 @t2)) % 0.37/0.62 (define @t16 () (forall (@list @t1 @t2 @t5) (= (= @t5 @t15) (forall @t14 (= (tptp.in @t13 @t5) (and (tptp.in @t13 @t1) (not (tptp.in @t13 @t2)))))))) % 0.37/0.62 (define @t17 () (tptp.empty tptp.empty_set)) % 0.37/0.62 (define @t18 () (= @t15 tptp.empty_set)) % 0.37/0.62 (define @t19 () (forall @t4 (= @t18 @t10))) % 0.37/0.62 (define @t20 () (not @t19)) % 0.37/0.62 (define @t21 () (tptp.empty @t1)) % 0.37/0.62 (define @t22 () (@list @t1)) % 0.37/0.62 (define @t23 () (= @t1 @t2)) % 0.37/0.62 (define @t24 () (tptp.set_difference @t1 tptp.empty_set)) % 0.37/0.62 (define @t25 () (forall @t22 (= @t24 @t1))) % 0.37/0.62 (define @t26 () (tptp.empty @t2)) % 0.37/0.62 (define @t27 () (forall @t4 (not (and @t3 @t26)))) % 0.37/0.62 (define @t28 () (forall @t4 (= @t10 @t18))) % 0.37/0.62 (define @t29 () (@quantifiers_skolemize @t28 1)) % 0.37/0.62 (define @t30 () (@quantifiers_skolemize @t28 0)) % 0.37/0.62 (define @t31 () (tptp.set_difference @t30 @t29)) % 0.37/0.62 (define @t32 () (= tptp.empty_set @t31)) % 0.37/0.62 (define @t33 () (tptp.subset @t30 @t29)) % 0.37/0.62 (define @t34 () (= @t33 @t32)) % 0.37/0.62 (define @t35 () (not @t34)) % 0.37/0.62 (define @t36 () (not @t28)) % 0.37/0.62 (define @t37 () (= @t33 (= @t31 tptp.empty_set))) % 0.37/0.62 (define @t38 () (not @t37)) % 0.37/0.62 (define @t39 () (@list true)) % 0.37/0.62 (define @t40 () (forall @t8 (or (not (tptp.in @t5 @t30)) (tptp.in @t5 @t29)))) % 0.37/0.62 (define @t41 () (= @t33 @t40)) % 0.37/0.62 (define @t42 () (not @t41)) % 0.37/0.62 (define @t43 () (not @t40)) % 0.37/0.62 (define @t44 () (tptp.in @t13 tptp.empty_set)) % 0.37/0.62 (define @t45 () (forall @t14 (= @t44 (and (tptp.in @t13 @t30) (not (tptp.in @t13 @t29)))))) % 0.37/0.62 (define @t46 () (= @t32 @t45)) % 0.37/0.62 (define @t47 () (not @t46)) % 0.37/0.62 (define @t48 () (not @t32)) % 0.37/0.62 (define @t49 () (@quantifiers_skolemize @t40 0)) % 0.37/0.62 (define @t50 () (tptp.in @t49 @t29)) % 0.37/0.62 (define @t51 () (tptp.in @t49 @t30)) % 0.37/0.62 (define @t52 () (not @t51)) % 0.37/0.62 (define @t53 () (or @t52 @t50)) % 0.37/0.62 (define @t54 () (not @t53)) % 0.37/0.62 (define @t55 () (@list @t49)) % 0.37/0.62 (define @t56 () (not @t50)) % 0.37/0.62 (define @t57 () (and @t51 @t56)) % 0.37/0.62 (define @t58 () (tptp.in @t49 tptp.empty_set)) % 0.37/0.62 (define @t59 () (= @t58 @t57)) % 0.37/0.62 (define @t60 () (not @t44)) % 0.37/0.62 (define @t61 () (= @t44 (and @t44 @t60))) % 0.37/0.62 (define @t62 () (forall @t14 @t61)) % 0.37/0.62 (define @t63 () (= tptp.empty_set (tptp.set_difference tptp.empty_set tptp.empty_set))) % 0.37/0.62 (define @t64 () (= @t63 @t62)) % 0.37/0.62 (define @t65 () (forall @t14 @t60)) % 0.37/0.62 (define @t66 () (= @t63 @t65)) % 0.37/0.62 (define @t67 () (@list false)) % 0.37/0.62 (define @t68 () (@list false false)) % 0.37/0.62 (define @t69 () (@list true false)) % 0.37/0.62 (define @t70 () (not @t45)) % 0.37/0.62 (define @t71 () (@quantifiers_skolemize @t45 0)) % 0.37/0.62 (define @t72 () (tptp.in @t71 @t29)) % 0.37/0.62 (define @t73 () (not @t72)) % 0.37/0.62 (define @t74 () (tptp.in @t71 @t30)) % 0.37/0.62 (define @t75 () (and @t74 @t73)) % 0.37/0.62 (define @t76 () (tptp.in @t71 tptp.empty_set)) % 0.37/0.62 (define @t77 () (= @t76 @t75)) % 0.37/0.62 (define @t78 () (not @t77)) % 0.37/0.62 (define @t79 () (not @t75)) % 0.37/0.62 (define @t80 () (not @t74)) % 0.37/0.62 (define @t81 () (or @t80 @t72)) % 0.37/0.62 (define @t82 () (not @t17)) % 0.37/0.62 (define @t83 () (not @t76)) % 0.37/0.62 (define @t84 () (or @t83 @t82)) % 0.37/0.62 (define @t85 () (not @t84)) % 0.37/0.62 (define @t86 () (forall @t4 (or (not @t3) (not @t26)))) % 0.37/0.62 (assume @p1 (forall @t4 (=> @t3 (not (tptp.in @t2 @t1))))) % 0.37/0.62 (assume @p2 @t12) % 0.37/0.62 (assume @p3 @t16) % 0.37/0.62 (assume @p4 true) % 0.37/0.62 (assume @p5 @t17) % 0.37/0.62 (assume @p6 @t20) % 0.37/0.62 (assume @p7 (exists @t22 @t21)) % 0.37/0.62 (assume @p8 (exists @t22 (not @t21))) % 0.37/0.62 (assume @p9 (forall @t4 (tptp.subset @t1 @t1))) % 0.37/0.62 (assume @p10 (forall @t4 (=> (forall @t8 (= @t7 @t6)) @t23))) % 0.37/0.62 (assume @p11 @t25) % 0.37/0.62 (assume @p12 (forall @t22 (= (tptp.set_difference tptp.empty_set @t1) tptp.empty_set))) % 0.37/0.62 (assume @p13 (forall @t22 (=> @t21 (= @t1 tptp.empty_set)))) % 0.37/0.62 (assume @p14 @t27) % 0.37/0.62 (assume @p15 (forall @t4 (not (and @t21 (not @t23) @t26)))) % 0.37/0.62 (step @p16 :rule bool-and-de-morgan :args (@t3 @t26 true)) % 0.37/0.62 (step @p17 :rule cong :premises (@p16) :args (@t27)) % 0.37/0.62 (step @p18 :rule eq_resolve :premises (@p14 @p17)) % 0.37/0.62 (step @p19 :rule instantiate :premises (@p3) :args ((@list @t30 @t29 tptp.empty_set))) % 0.37/0.62 (step @p20 :rule eq-symm :args (@t18 @t10)) % 0.37/0.62 (step @p21 :rule cong :premises (@p20) :args (@t19)) % 0.37/0.62 (step @p22 :rule cong :premises (@p21) :args (@t20)) % 0.37/0.62 (step @p23 :rule eq_resolve :premises (@p6 @p22)) % 0.37/0.62 (step @p24 :rule refl :args (@t35)) % 0.37/0.62 (step @p25 :rule bool-double-not-elim :args (@t28)) % 0.37/0.62 (step @p26 :rule nary_cong :premises (@p25 @p24) :args ((or (not @t36) @t35))) % 0.37/0.62 (step @p27 :rule eq-symm :args (@t31 tptp.empty_set)) % 0.37/0.62 (step @p28 :rule refl :args (@t33)) % 0.37/0.62 (step @p29 :rule cong :premises (@p28 @p27) :args (@t37)) % 0.37/0.62 (step @p30 :rule cong :premises (@p29) :args (@t38)) % 0.37/0.62 (step @p31 :rule refl :args (@t36)) % 0.37/0.62 (step @p32 :rule cong :premises (@p31 @p30) :args ((=> @t36 @t38))) % 0.37/0.62 (assume-push @p154 @t36) % 0.37/0.62 (step @p34 :rule skolemize :premises (@p23)) % 0.37/0.62 (step-pop @p155 :rule scope :premises (@p34)) % 0.37/0.62 (step @p35 :rule process_scope :premises (@p155) :args (@t38)) % 0.37/0.62 (step @p37 :rule eq_resolve :premises (@p35 @p32)) % 0.37/0.62 (step @p38 :rule implies_elim :premises (@p37)) % 0.37/0.62 (step @p39 :rule eq_resolve :premises (@p38 @p26)) % 0.37/0.62 (step @p40 :rule chain_m_resolution :premises (@p39 @p23) :args (@t35 @t39 (@list @t28))) % 0.37/0.62 (step @p41 :rule cnf_equiv_neg1 :args (@t34)) % 0.37/0.62 (step @p42 :rule reordering :premises (@p41) :args ((or @t33 @t32 @t34))) % 0.37/0.62 (step @p43 :rule bool-impl-elim :args (@t7 @t6)) % 0.37/0.62 (step @p44 :rule cong :premises (@p43) :args (@t9)) % 0.37/0.62 (step @p45 :rule refl :args (@t10)) % 0.37/0.62 (step @p46 :rule cong :premises (@p45 @p44) :args (@t11)) % 0.37/0.62 (step @p47 :rule cong :premises (@p46) :args (@t12)) % 0.37/0.62 (step @p48 :rule eq_resolve :premises (@p2 @p47)) % 0.37/0.62 (step @p49 :rule instantiate :premises (@p48) :args ((@list @t30 @t29))) % 0.37/0.62 (step @p50 :rule cnf_equiv_pos2 :args (@t41)) % 0.37/0.62 (step @p51 :rule reordering :premises (@p50) :args ((or @t33 @t43 @t42))) % 0.37/0.62 (step @p52 :rule cnf_equiv_pos1 :args (@t46)) % 0.37/0.62 (step @p53 :rule reordering :premises (@p52) :args ((or @t48 @t45 @t47))) % 0.37/0.62 (step @p54 :rule refl :args (@t54)) % 0.37/0.62 (step @p55 :rule bool-double-not-elim :args (@t40)) % 0.37/0.62 (step @p56 :rule nary_cong :premises (@p55 @p54) :args ((or (not @t43) @t54))) % 0.37/0.62 (assume-push @p156 @t43) % 0.37/0.62 (step @p58 :rule skolemize :premises (@p156)) % 0.37/0.62 (step-pop @p157 :rule scope :premises (@p58)) % 0.37/0.62 (step @p59 :rule process_scope :premises (@p157) :args (@t54)) % 0.37/0.62 (step @p61 :rule implies_elim :premises (@p59)) % 0.37/0.62 (step @p62 :rule eq_resolve :premises (@p61 @p56)) % 0.37/0.62 (assume-push @p158 @t45) % 0.37/0.62 (step @p64 :rule instantiate :premises (@p158) :args (@t55)) % 0.37/0.62 (step-pop @p159 :rule scope :premises (@p64)) % 0.37/0.62 (step @p65 :rule process_scope :premises (@p159) :args (@t59)) % 0.37/0.62 (step @p67 :rule implies_elim :premises (@p65)) % 0.37/0.62 (step @p68 :rule bool-double-not-elim :args (@t51)) % 0.37/0.62 (step @p69 :rule refl :args (@t53)) % 0.37/0.62 (step @p70 :rule nary_cong :premises (@p69 @p68) :args ((or @t53 (not @t52)))) % 0.37/0.62 (step @p71 :rule cnf_or_neg :args (@t53 0)) % 0.37/0.62 (step @p72 :rule eq_resolve :premises (@p71 @p70)) % 0.37/0.62 (step @p73 :rule reordering :premises (@p72) :args ((or @t51 @t53))) % 0.37/0.62 (step @p74 :rule cnf_or_neg :args (@t53 1)) % 0.37/0.62 (step @p75 :rule bool-eq-false :args (@t44)) % 0.37/0.62 (step @p76 :rule cong :premises (@p75) :args ((forall @t14 (= @t44 false)))) % 0.37/0.62 (step @p77 :rule bool-and-conf :args (true @t44 true true)) % 0.37/0.62 (step @p78 :rule refl :args (@t44)) % 0.37/0.62 (step @p79 :rule cong :premises (@p78 @p77) :args (@t61)) % 0.37/0.62 (step @p80 :rule cong :premises (@p79) :args (@t62)) % 0.37/0.62 (step @p81 :rule trans :premises (@p80 @p76)) % 0.37/0.62 (step @p82 :rule refl :args (@t63)) % 0.37/0.62 (step @p83 :rule cong :premises (@p82 @p81) :args (@t64)) % 0.37/0.62 (step @p84 :rule refl :args (@t16)) % 0.37/0.62 (step @p85 :rule cong :premises (@p84 @p83) :args ((=> @t16 @t64))) % 0.37/0.62 (assume-push @p160 @t16) % 0.37/0.62 (step @p87 :rule instantiate :premises (@p3) :args ((@list tptp.empty_set tptp.empty_set tptp.empty_set))) % 0.37/0.62 (step-pop @p161 :rule scope :premises (@p87)) % 0.37/0.62 (step @p88 :rule process_scope :premises (@p161) :args (@t64)) % 0.37/0.62 (step @p90 :rule eq_resolve :premises (@p88 @p85)) % 0.37/0.62 (step @p91 :rule implies_elim :premises (@p90)) % 0.37/0.62 (step @p92 :rule chain_m_resolution :premises (@p91 @p3) :args (@t66 @t67 (@list @t16))) % 0.37/0.62 (step @p93 :rule eq-symm :args (@t24 @t1)) % 0.37/0.62 (step @p94 :rule cong :premises (@p93) :args (@t25)) % 0.37/0.62 (step @p95 :rule eq_resolve :premises (@p11 @p94)) % 0.37/0.62 (step @p96 :rule instantiate :premises (@p95) :args ((@list tptp.empty_set))) % 0.37/0.62 (step @p97 :rule cnf_equiv_pos1 :args (@t66)) % 0.37/0.62 (step @p98 :rule reordering :premises (@p97) :args ((or @t65 (not @t63) (not @t66)))) % 0.37/0.62 (step @p99 :rule chain_m_resolution :premises (@p98 @p96 @p92) :args (@t65 @t68 (@list @t63 @t66))) % 0.37/0.62 (step @p100 :rule instantiate :premises (@p99) :args (@t55)) % 0.37/0.62 (step @p101 :rule cnf_equiv_pos2 :args (@t59)) % 0.37/0.62 (step @p102 :rule reordering :premises (@p101) :args ((or @t58 (not @t57) (not @t59)))) % 0.37/0.62 (step @p103 :rule bool-double-not-elim :args (@t50)) % 0.37/0.62 (step @p104 :rule refl :args (@t52)) % 0.37/0.62 (step @p105 :rule refl :args (@t57)) % 0.37/0.62 (step @p106 :rule nary_cong :premises (@p105 @p104 @p103) :args ((or @t57 @t52 (not @t56)))) % 0.37/0.62 (step @p107 :rule cnf_and_neg :args (@t57)) % 0.37/0.62 (step @p108 :rule eq_resolve :premises (@p107 @p106)) % 0.37/0.62 (step @p109 :rule reordering :premises (@p108) :args ((or @t52 @t50 @t57))) % 0.37/0.62 (step @p110 :rule chain_m_resolution :premises (@p109 @p102 @p100 @p74 @p73 @p67 @p62 @p53 @p19 @p51 @p49 @p42 @p40) :args (@t33 (@list true true true false false true false false true false false true) (@list @t57 @t58 @t50 @t51 @t59 @t53 @t45 @t46 @t40 @t41 @t32 @t34))) % 0.37/0.62 (step @p111 :rule cnf_equiv_neg2 :args (@t34)) % 0.37/0.62 (step @p112 :rule chain_m_resolution :premises (@p111 @p40 @p110) :args (@t48 @t69 (@list @t34 @t33))) % 0.37/0.62 (step @p113 :rule cnf_equiv_pos2 :args (@t46)) % 0.37/0.62 (step @p114 :rule reordering :premises (@p113) :args ((or @t32 @t70 @t47))) % 0.37/0.62 (step @p115 :rule chain_m_resolution :premises (@p114 @p112 @p19) :args (@t70 @t69 (@list @t32 @t46))) % 0.37/0.62 (step @p116 :rule refl :args (@t78)) % 0.37/0.62 (step @p117 :rule bool-double-not-elim :args (@t45)) % 0.37/0.62 (step @p118 :rule nary_cong :premises (@p117 @p116) :args ((or (not @t70) @t78))) % 0.37/0.62 (assume-push @p162 @t70) % 0.37/0.62 (step @p120 :rule skolemize :premises (@p162)) % 0.37/0.62 (step-pop @p163 :rule scope :premises (@p120)) % 0.37/0.62 (step @p121 :rule process_scope :premises (@p163) :args (@t78)) % 0.37/0.62 (step @p123 :rule implies_elim :premises (@p121)) % 0.37/0.62 (step @p124 :rule eq_resolve :premises (@p123 @p118)) % 0.37/0.62 (step @p125 :rule chain_m_resolution :premises (@p124 @p115) :args (@t78 @t39 (@list @t45))) % 0.37/0.62 (step @p126 :rule cnf_and_pos :args (@t75 0)) % 0.37/0.62 (step @p127 :rule reordering :premises (@p126) :args ((or @t74 @t79))) % 0.37/0.62 (step @p128 :rule cnf_and_pos :args (@t75 1)) % 0.37/0.62 (step @p129 :rule reordering :premises (@p128) :args ((or @t73 @t79))) % 0.37/0.62 (step @p130 :rule cnf_equiv_pos1 :args (@t41)) % 0.37/0.62 (step @p131 :rule reordering :premises (@p130) :args ((or (not @t33) @t40 @t42))) % 0.37/0.62 (step @p132 :rule chain_m_resolution :premises (@p131 @p110 @p49) :args (@t40 @t68 (@list @t33 @t41))) % 0.37/0.62 (assume-push @p164 @t40) % 0.37/0.62 (step @p134 :rule instantiate :premises (@p164) :args ((@list @t71))) % 0.37/0.62 (step-pop @p165 :rule scope :premises (@p134)) % 0.37/0.62 (step @p135 :rule process_scope :premises (@p165) :args (@t81)) % 0.37/0.62 (step @p137 :rule implies_elim :premises (@p135)) % 0.37/0.62 (step @p138 :rule chain_m_resolution :premises (@p137 @p132) :args (@t81 @t67 (@list @t40))) % 0.37/0.62 (step @p139 :rule cnf_or_pos :args (@t81)) % 0.37/0.62 (step @p140 :rule reordering :premises (@p139) :args ((or @t72 @t80 (not @t81)))) % 0.37/0.62 (step @p141 :rule chain_m_resolution :premises (@p140 @p138 @p129 @p127) :args (@t79 (@list false true false) (@list @t81 @t72 @t74))) % 0.37/0.62 (step @p142 :rule cnf_equiv_neg1 :args (@t77)) % 0.37/0.62 (step @p143 :rule reordering :premises (@p142) :args ((or @t76 @t75 @t77))) % 0.37/0.62 (step @p144 :rule chain_m_resolution :premises (@p143 @p141 @p125) :args (@t76 (@list true true) (@list @t75 @t77))) % 0.37/0.62 (step @p145 :rule cnf_or_pos :args (@t84)) % 0.37/0.62 (step @p146 :rule reordering :premises (@p145) :args ((or @t82 @t83 @t85))) % 0.37/0.62 (step @p147 :rule chain_m_resolution :premises (@p146 @p5 @p144) :args (@t85 @t68 (@list @t17 @t76))) % 0.37/0.62 (assume-push @p166 @t86) % 0.37/0.62 (step @p149 :rule instantiate :premises (@p18) :args ((@list @t71 tptp.empty_set))) % 0.37/0.62 (step-pop @p167 :rule scope :premises (@p149)) % 0.37/0.62 (step @p150 :rule process_scope :premises (@p167) :args (@t84)) % 0.37/0.62 (step @p152 :rule implies_elim :premises (@p150)) % 0.37/0.62 (step @p153 false :rule chain_m_resolution :premises (@p152 @p147 @p18) :args (false @t69 (@list @t84 @t86))) % 0.37/0.62 ) % 0.37/0.62 % SZS output end Proof % 0.37/0.62 % cvc5 exiting %------------------------------------------------------------------------------