%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM386+1 : TPTP v9.2.1. Released v3.2.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n026.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 08:39:17 AM UTC 2026 % Result : Theorem 28.97s 29.18s % Output : Proof 28.97s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : NUM386+1 : TPTP v9.2.1. Released v3.2.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n026.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 11:16:10 EDT 2026 % 0.16/0.34 % CPUTime : % 0.30/0.49 %----Proving TF0_NAR, FOF, or CNF % 28.97/29.18 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 28.97/29.18 --- Run --no-e-matching --full-saturate-quant at 6... % 28.97/29.18 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 28.97/29.18 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 28.97/29.18 % SZS status Theorem % 28.97/29.18 % SZS output start Proof % 28.97/29.18 ( % 28.97/29.18 (declare-sort $$unsorted 0) % 28.97/29.18 (declare-const tptp.relation_empty_yielding (-> $$unsorted Bool)) % 28.97/29.18 (declare-const tptp.succ (-> $$unsorted $$unsorted)) % 28.97/29.18 (declare-const tptp.empty_set $$unsorted) % 28.97/29.18 (declare-const tptp.set_union2 (-> $$unsorted $$unsorted $$unsorted)) % 28.97/29.18 (declare-const tptp.singleton (-> $$unsorted $$unsorted)) % 28.97/29.18 (declare-const tptp.one_to_one (-> $$unsorted Bool)) % 28.97/29.18 (declare-const tptp.relation (-> $$unsorted Bool)) % 28.97/29.18 (declare-const tptp.element (-> $$unsorted $$unsorted Bool)) % 28.97/29.18 (declare-const tptp.empty (-> $$unsorted Bool)) % 28.97/29.18 (declare-const tptp.function (-> $$unsorted Bool)) % 28.97/29.18 (declare-const tptp.relation_non_empty (-> $$unsorted Bool)) % 28.97/29.18 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 28.97/29.18 (define @t1 () (@var "A" $$unsorted)) % 28.97/29.18 (define @t2 () (@var "B" $$unsorted)) % 28.97/29.18 (define @t3 () (tptp.in @t1 @t2)) % 28.97/29.18 (define @t4 () (@list @t1 @t2)) % 28.97/29.18 (define @t5 () (tptp.function @t1)) % 28.97/29.18 (define @t6 () (tptp.empty @t1)) % 28.97/29.18 (define @t7 () (@list @t1)) % 28.97/29.18 (define @t8 () (tptp.relation @t1)) % 28.97/29.18 (define @t9 () (and @t8 @t5 (tptp.one_to_one @t1))) % 28.97/29.18 (define @t10 () (and @t8 @t6 @t5)) % 28.97/29.18 (define @t11 () (tptp.set_union2 @t2 @t1)) % 28.97/29.18 (define @t12 () (tptp.set_union2 @t1 @t2)) % 28.97/29.18 (define @t13 () (tptp.singleton @t1)) % 28.97/29.18 (define @t14 () (tptp.succ @t1)) % 28.97/29.18 (define @t15 () (@var "C" $$unsorted)) % 28.97/29.18 (define @t16 () (tptp.in @t15 @t2)) % 28.97/29.18 (define @t17 () (= @t16 (= @t15 @t1))) % 28.97/29.18 (define @t18 () (@list @t15)) % 28.97/29.18 (define @t19 () (forall @t18 @t17)) % 28.97/29.18 (define @t20 () (= @t2 @t13)) % 28.97/29.18 (define @t21 () (= @t20 @t19)) % 28.97/29.18 (define @t22 () (forall @t4 @t21)) % 28.97/29.18 (define @t23 () (@var "D" $$unsorted)) % 28.97/29.18 (define @t24 () (@list @t23)) % 28.97/29.18 (define @t25 () (forall @t24 (= (tptp.in @t23 @t15) (or (tptp.in @t23 @t1) (tptp.in @t23 @t2))))) % 28.97/29.18 (define @t26 () (= (= @t15 @t12) @t25)) % 28.97/29.18 (define @t27 () (@list @t1 @t2 @t15)) % 28.97/29.18 (define @t28 () (forall @t27 @t26)) % 28.97/29.18 (define @t29 () (tptp.relation tptp.empty_set)) % 28.97/29.18 (define @t30 () (tptp.empty tptp.empty_set)) % 28.97/29.18 (define @t31 () (not @t6)) % 28.97/29.18 (define @t32 () (tptp.relation_empty_yielding @t1)) % 28.97/29.18 (define @t33 () (= @t1 @t2)) % 28.97/29.18 (define @t34 () (forall @t4 (= (tptp.in @t1 (tptp.succ @t2)) (or @t3 @t33)))) % 28.97/29.18 (define @t35 () (tptp.element @t1 @t2)) % 28.97/29.18 (define @t36 () (tptp.empty @t2)) % 28.97/29.18 (define @t37 () (@quantifiers_skolemize @t34 1)) % 28.97/29.18 (define @t38 () (tptp.singleton @t37)) % 28.97/29.18 (define @t39 () (tptp.in @t15 @t38)) % 28.97/29.18 (define @t40 () (forall @t18 (= @t39 (= @t15 @t37)))) % 28.97/29.18 (define @t41 () (= @t39 (= @t37 @t15))) % 28.97/29.18 (define @t42 () (forall @t18 @t41)) % 28.97/29.18 (define @t43 () (= (= @t38 @t38) @t42)) % 28.97/29.18 (define @t44 () (forall @t4 (= @t20 (forall @t18 (= @t16 (= @t1 @t15)))))) % 28.97/29.18 (define @t45 () (@list false)) % 28.97/29.18 (define @t46 () (@quantifiers_skolemize @t34 0)) % 28.97/29.18 (define @t47 () (tptp.in @t46 @t38)) % 28.97/29.18 (define @t48 () (= @t46 @t37)) % 28.97/29.18 (define @t49 () (= @t47 @t48)) % 28.97/29.18 (define @t50 () (@list @t46)) % 28.97/29.18 (define @t51 () (= @t48 @t47)) % 28.97/29.18 (define @t52 () (= @t12 @t15)) % 28.97/29.18 (define @t53 () (tptp.succ @t37)) % 28.97/29.18 (define @t54 () (tptp.in @t23 @t53)) % 28.97/29.18 (define @t55 () (or (tptp.in @t23 @t37) (tptp.in @t23 @t38))) % 28.97/29.18 (define @t56 () (forall @t24 (= @t54 @t55))) % 28.97/29.18 (define @t57 () (tptp.set_union2 @t37 @t38)) % 28.97/29.18 (define @t58 () (= @t57 @t53)) % 28.97/29.18 (define @t59 () (forall @t27 (= @t25 @t52))) % 28.97/29.18 (define @t60 () (= @t56 @t58)) % 28.97/29.18 (define @t61 () (forall @t24 (= @t55 @t54))) % 28.97/29.18 (define @t62 () (= @t53 @t57)) % 28.97/29.18 (define @t63 () (= @t62 @t61)) % 28.97/29.18 (define @t64 () (tptp.in @t46 @t37)) % 28.97/29.18 (define @t65 () (or @t64 @t47)) % 28.97/29.18 (define @t66 () (tptp.in @t46 @t53)) % 28.97/29.18 (define @t67 () (= @t65 @t66)) % 28.97/29.18 (define @t68 () (= @t66 @t65)) % 28.97/29.18 (define @t69 () (or @t64 @t48)) % 28.97/29.18 (define @t70 () (= @t66 @t69)) % 28.97/29.18 (define @t71 () (not @t68)) % 28.97/29.18 (define @t72 () (not @t66)) % 28.97/29.18 (define @t73 () (not @t65)) % 28.97/29.18 (define @t74 () (not @t51)) % 28.97/29.18 (define @t75 () (not @t47)) % 28.97/29.18 (define @t76 () (@list true false)) % 28.97/29.18 (define @t77 () (@list true)) % 28.97/29.18 (define @t78 () (@list @t65)) % 28.97/29.18 (define @t79 () (not @t64)) % 28.97/29.18 (assume @p1 (forall @t4 (=> @t3 (not (tptp.in @t2 @t1))))) % 28.97/29.18 (assume @p2 (forall @t7 (=> @t6 @t5))) % 28.97/29.18 (assume @p3 (forall @t7 (=> @t6 @t8))) % 28.97/29.18 (assume @p4 (forall @t7 (=> @t10 @t9))) % 28.97/29.18 (assume @p5 (forall @t4 (= @t12 @t11))) % 28.97/29.18 (assume @p6 (forall @t7 (= @t14 (tptp.set_union2 @t1 @t13)))) % 28.97/29.18 (assume @p7 @t22) % 28.97/29.18 (assume @p8 @t28) % 28.97/29.18 (assume @p9 (forall @t7 (exists (@list @t2) (tptp.element @t2 @t1)))) % 28.97/29.18 (assume @p10 (and @t30 @t29 (tptp.relation_empty_yielding tptp.empty_set))) % 28.97/29.18 (assume @p11 (forall @t7 (not (tptp.empty @t14)))) % 28.97/29.18 (assume @p12 @t30) % 28.97/29.18 (assume @p13 (forall @t4 (=> (and @t8 (tptp.relation @t2)) (tptp.relation @t12)))) % 28.97/29.18 (assume @p14 (forall @t4 (=> @t31 (not (tptp.empty @t12))))) % 28.97/29.18 (assume @p15 (forall @t4 (=> @t31 (not (tptp.empty @t11))))) % 28.97/29.18 (assume @p16 (and @t30 @t29)) % 28.97/29.18 (assume @p17 (forall @t4 (= (tptp.set_union2 @t1 @t1) @t1))) % 28.97/29.18 (assume @p18 (exists @t7 (and @t8 @t5))) % 28.97/29.18 (assume @p19 (exists @t7 (and @t6 @t8))) % 28.97/29.18 (assume @p20 (exists @t7 @t6)) % 28.97/29.18 (assume @p21 (exists @t7 @t10)) % 28.97/29.18 (assume @p22 (exists @t7 (and @t31 @t8))) % 28.97/29.18 (assume @p23 (exists @t7 @t31)) % 28.97/29.18 (assume @p24 (exists @t7 @t9)) % 28.97/29.18 (assume @p25 (exists @t7 (and @t8 @t32))) % 28.97/29.18 (assume @p26 (exists @t7 (and @t8 @t32 @t5))) % 28.97/29.18 (assume @p27 (exists @t7 (and @t8 (tptp.relation_non_empty @t1) @t5))) % 28.97/29.18 (assume @p28 (not @t34)) % 28.97/29.18 (assume @p29 (forall @t7 (= (tptp.set_union2 @t1 tptp.empty_set) @t1))) % 28.97/29.18 (assume @p30 (forall @t4 (=> @t3 @t35))) % 28.97/29.18 (assume @p31 (forall @t4 (=> @t35 (or @t36 @t3)))) % 28.97/29.18 (assume @p32 (forall @t7 (=> @t6 (= @t1 tptp.empty_set)))) % 28.97/29.18 (assume @p33 (forall @t4 (not (and @t3 @t36)))) % 28.97/29.18 (assume @p34 (forall @t4 (not (and @t6 (not @t33) @t36)))) % 28.97/29.18 (assume @p35 true) % 28.97/29.18 (step @p36 :rule eq-symm :args (@t15 @t1)) % 28.97/29.18 (step @p37 :rule refl :args (@t16)) % 28.97/29.18 (step @p38 :rule cong :premises (@p37 @p36) :args (@t17)) % 28.97/29.18 (step @p39 :rule cong :premises (@p38) :args (@t19)) % 28.97/29.18 (step @p40 :rule refl :args (@t20)) % 28.97/29.18 (step @p41 :rule cong :premises (@p40 @p39) :args (@t21)) % 28.97/29.18 (step @p42 :rule cong :premises (@p41) :args (@t22)) % 28.97/29.18 (step @p43 :rule eq_resolve :premises (@p7 @p42)) % 28.97/29.18 (step @p44 :rule bool-eq-true :args (@t40)) % 28.97/29.18 (step @p45 :rule eq-symm :args (true @t40)) % 28.97/29.18 (step @p46 :rule trans :premises (@p45 @p44)) % 28.97/29.18 (step @p47 :rule eq-symm :args (@t37 @t15)) % 28.97/29.18 (step @p48 :rule refl :args (@t39)) % 28.97/29.18 (step @p49 :rule cong :premises (@p48 @p47) :args (@t41)) % 28.97/29.18 (step @p50 :rule cong :premises (@p49) :args (@t42)) % 28.97/29.18 (step @p51 :rule eq-refl :args (@t38)) % 28.97/29.18 (step @p52 :rule cong :premises (@p51 @p50) :args (@t43)) % 28.97/29.18 (step @p53 :rule trans :premises (@p52 @p46)) % 28.97/29.18 (step @p54 :rule refl :args (@t44)) % 28.97/29.18 (step @p55 :rule cong :premises (@p54 @p53) :args ((=> @t44 @t43))) % 28.97/29.18 (assume-push @p138 @t44) % 28.97/29.18 (step @p57 :rule instantiate :premises (@p43) :args ((@list @t37 @t38))) % 28.97/29.18 (step-pop @p139 :rule scope :premises (@p57)) % 28.97/29.18 (step @p58 :rule process_scope :premises (@p139) :args (@t43)) % 28.97/29.18 (step @p60 :rule eq_resolve :premises (@p58 @p55)) % 28.97/29.18 (step @p61 :rule implies_elim :premises (@p60)) % 28.97/29.18 (step @p62 :rule chain_m_resolution :premises (@p61 @p43) :args (@t40 @t45 (@list @t44))) % 28.97/29.18 (step @p63 :rule eq-symm :args (@t47 @t48)) % 28.97/29.18 (step @p64 :rule refl :args (@t40)) % 28.97/29.18 (step @p65 :rule cong :premises (@p64 @p63) :args ((=> @t40 @t49))) % 28.97/29.18 (assume-push @p140 @t40) % 28.97/29.18 (step @p67 :rule instantiate :premises (@p62) :args (@t50)) % 28.97/29.18 (step-pop @p141 :rule scope :premises (@p67)) % 28.97/29.18 (step @p68 :rule process_scope :premises (@p141) :args (@t49)) % 28.97/29.18 (step @p70 :rule eq_resolve :premises (@p68 @p65)) % 28.97/29.18 (step @p71 :rule implies_elim :premises (@p70)) % 28.97/29.18 (step @p72 :rule chain_m_resolution :premises (@p71 @p62) :args (@t51 @t45 (@list @t40))) % 28.97/29.18 (step @p73 :rule eq-symm :args (@t52 @t25)) % 28.97/29.18 (step @p74 :rule refl :args (@t25)) % 28.97/29.18 (step @p75 :rule eq-symm :args (@t15 @t12)) % 28.97/29.18 (step @p76 :rule cong :premises (@p75 @p74) :args (@t26)) % 28.97/29.18 (step @p77 :rule trans :premises (@p76 @p73)) % 28.97/29.18 (step @p78 :rule cong :premises (@p77) :args (@t28)) % 28.97/29.18 (step @p79 :rule eq_resolve :premises (@p8 @p78)) % 28.97/29.18 (step @p80 :rule eq-symm :args (@t54 @t55)) % 28.97/29.18 (step @p81 :rule cong :premises (@p80) :args (@t56)) % 28.97/29.18 (step @p82 :rule eq-symm :args (@t57 @t53)) % 28.97/29.18 (step @p83 :rule cong :premises (@p82 @p81) :args ((= @t58 @t56))) % 28.97/29.18 (step @p84 :rule eq-symm :args (@t56 @t58)) % 28.97/29.18 (step @p85 :rule trans :premises (@p84 @p83)) % 28.97/29.18 (step @p86 :rule refl :args (@t59)) % 28.97/29.18 (step @p87 :rule cong :premises (@p86 @p85) :args ((=> @t59 @t60))) % 28.97/29.18 (assume-push @p142 @t59) % 28.97/29.18 (step @p89 :rule instantiate :premises (@p79) :args ((@list @t37 @t38 @t53))) % 28.97/29.18 (step-pop @p143 :rule scope :premises (@p89)) % 28.97/29.18 (step @p90 :rule process_scope :premises (@p143) :args (@t60)) % 28.97/29.18 (step @p92 :rule eq_resolve :premises (@p90 @p87)) % 28.97/29.18 (step @p93 :rule implies_elim :premises (@p92)) % 28.97/29.18 (step @p94 :rule chain_m_resolution :premises (@p93 @p79) :args (@t63 @t45 (@list @t59))) % 28.97/29.18 (step @p95 :rule instantiate :premises (@p6) :args ((@list @t37))) % 28.97/29.18 (step @p96 :rule cnf_equiv_pos1 :args (@t63)) % 28.97/29.18 (step @p97 :rule reordering :premises (@p96) :args ((or (not @t62) @t61 (not @t63)))) % 28.97/29.18 (step @p98 :rule chain_m_resolution :premises (@p97 @p95 @p94) :args (@t61 (@list false false) (@list @t62 @t63))) % 28.97/29.18 (step @p99 :rule eq-symm :args (@t65 @t66)) % 28.97/29.18 (step @p100 :rule refl :args (@t61)) % 28.97/29.18 (step @p101 :rule cong :premises (@p100 @p99) :args ((=> @t61 @t67))) % 28.97/29.18 (assume-push @p144 @t61) % 28.97/29.18 (step @p103 :rule instantiate :premises (@p98) :args (@t50)) % 28.97/29.18 (step-pop @p145 :rule scope :premises (@p103)) % 28.97/29.18 (step @p104 :rule process_scope :premises (@p145) :args (@t67)) % 28.97/29.18 (step @p106 :rule eq_resolve :premises (@p104 @p101)) % 28.97/29.18 (step @p107 :rule implies_elim :premises (@p106)) % 28.97/29.18 (step @p108 :rule chain_m_resolution :premises (@p107 @p98) :args (@t68 @t45 (@list @t61))) % 28.97/29.18 (step @p109 :rule skolemize :premises (@p28)) % 28.97/29.18 (step @p110 :rule cnf_equiv_neg2 :args (@t70)) % 28.97/29.18 (step @p111 :rule cnf_equiv_pos1 :args (@t68)) % 28.97/29.18 (step @p112 :rule reordering :premises (@p111) :args ((or @t72 @t65 @t71))) % 28.97/29.18 (step @p113 :rule cnf_or_neg :args (@t69 0)) % 28.97/29.18 (step @p114 :rule cnf_or_neg :args (@t69 1)) % 28.97/29.18 (step @p115 :rule cnf_or_pos :args (@t65)) % 28.97/29.18 (step @p116 :rule reordering :premises (@p115) :args ((or @t64 @t47 @t73))) % 28.97/29.18 (step @p117 :rule cnf_equiv_pos2 :args (@t51)) % 28.97/29.18 (step @p118 :rule reordering :premises (@p117) :args ((or @t48 @t75 @t74))) % 28.97/29.18 (step @p119 :rule chain_m_resolution :premises (@p118 @p72 @p116 @p114 @p113 @p112 @p108 @p110 @p109) :args (@t72 (@list false false true true false false true true) (@list @t51 @t47 @t48 @t64 @t65 @t68 @t69 @t70))) % 28.97/29.18 (step @p120 :rule cnf_equiv_pos2 :args (@t68)) % 28.97/29.18 (step @p121 :rule reordering :premises (@p120) :args ((or @t66 @t73 @t71))) % 28.97/29.18 (step @p122 :rule chain_m_resolution :premises (@p121 @p119 @p108) :args (@t73 @t76 (@list @t66 @t68))) % 28.97/29.18 (step @p123 :rule cnf_or_neg :args (@t65 1)) % 28.97/29.18 (step @p124 :rule reordering :premises (@p123) :args ((or @t75 @t65))) % 28.97/29.18 (step @p125 :rule chain_m_resolution :premises (@p124 @p122) :args (@t75 @t77 @t78)) % 28.97/29.18 (step @p126 :rule cnf_equiv_neg1 :args (@t70)) % 28.97/29.18 (step @p127 :rule reordering :premises (@p126) :args ((or @t66 @t69 @t70))) % 28.97/29.18 (step @p128 :rule chain_m_resolution :premises (@p127 @p119 @p109) :args (@t69 (@list true true) (@list @t66 @t70))) % 28.97/29.18 (step @p129 :rule cnf_or_neg :args (@t65 0)) % 28.97/29.18 (step @p130 :rule reordering :premises (@p129) :args ((or @t79 @t65))) % 28.97/29.18 (step @p131 :rule chain_m_resolution :premises (@p130 @p122) :args (@t79 @t77 @t78)) % 28.97/29.18 (step @p132 :rule cnf_or_pos :args (@t69)) % 28.97/29.18 (step @p133 :rule reordering :premises (@p132) :args ((or @t64 @t48 (not @t69)))) % 28.97/29.18 (step @p134 :rule chain_m_resolution :premises (@p133 @p131 @p128) :args (@t48 @t76 (@list @t64 @t69))) % 28.97/29.18 (step @p135 :rule cnf_equiv_pos1 :args (@t51)) % 28.97/29.18 (step @p136 :rule reordering :premises (@p135) :args ((or (not @t48) @t47 @t74))) % 28.97/29.18 (step @p137 false :rule chain_m_resolution :premises (@p136 @p134 @p125 @p72) :args (false (@list false true false) (@list @t48 @t47 @t51))) % 28.97/29.18 ) % 28.97/29.18 % SZS output end Proof % 28.97/29.18 % cvc5 exiting %------------------------------------------------------------------------------