%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET609+3 : TPTP v9.2.1. Released v2.2.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n025.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 08:48:12 AM UTC 2026 % Result : Theorem 1.61s 1.82s % Output : Proof 1.61s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SET609+3 : TPTP v9.2.1. Released v2.2.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n025.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 16:04:46 EDT 2026 % 0.17/0.35 % CPUTime : % 0.31/0.51 %----Proving TF0_NAR, FOF, or CNF % 1.61/1.82 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 1.61/1.82 % SZS status Theorem % 1.61/1.82 % SZS output start Proof % 1.61/1.82 ( % 1.61/1.82 (declare-sort $$unsorted 0) % 1.61/1.82 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 1.61/1.82 (declare-const tptp.intersection (-> $$unsorted $$unsorted $$unsorted)) % 1.61/1.82 (declare-const tptp.union (-> $$unsorted $$unsorted $$unsorted)) % 1.61/1.82 (declare-const tptp.difference (-> $$unsorted $$unsorted $$unsorted)) % 1.61/1.82 (declare-const tptp.member (-> $$unsorted $$unsorted Bool)) % 1.61/1.82 (define @t1 () (@var "C" $$unsorted)) % 1.61/1.82 (define @t2 () (@var "D" $$unsorted)) % 1.61/1.82 (define @t3 () (tptp.member @t2 @t1)) % 1.61/1.82 (define @t4 () (@var "B" $$unsorted)) % 1.61/1.82 (define @t5 () (tptp.member @t2 @t4)) % 1.61/1.82 (define @t6 () (tptp.union @t4 @t1)) % 1.61/1.82 (define @t7 () (@list @t4 @t1 @t2)) % 1.61/1.82 (define @t8 () (tptp.intersection @t4 @t1)) % 1.61/1.82 (define @t9 () (tptp.difference @t4 @t1)) % 1.61/1.82 (define @t10 () (tptp.subset @t4 @t1)) % 1.61/1.82 (define @t11 () (= @t4 @t1)) % 1.61/1.82 (define @t12 () (@list @t4 @t1)) % 1.61/1.82 (define @t13 () (@list @t2)) % 1.61/1.82 (define @t14 () (forall @t12 (= @t11 (forall @t13 (= @t5 @t3))))) % 1.61/1.82 (define @t15 () (forall @t7 (= (tptp.difference @t4 (tptp.difference @t1 @t2)) (tptp.union @t9 (tptp.intersection @t4 @t2))))) % 1.61/1.82 (define @t16 () (@quantifiers_skolemize @t15 2)) % 1.61/1.82 (define @t17 () (@quantifiers_skolemize @t15 0)) % 1.61/1.82 (define @t18 () (tptp.intersection @t17 @t16)) % 1.61/1.82 (define @t19 () (@quantifiers_skolemize @t15 1)) % 1.61/1.82 (define @t20 () (tptp.difference @t19 @t16)) % 1.61/1.82 (define @t21 () (tptp.difference @t17 @t20)) % 1.61/1.82 (define @t22 () (tptp.difference @t17 @t19)) % 1.61/1.82 (define @t23 () (tptp.union @t22 @t18)) % 1.61/1.82 (define @t24 () (forall @t13 (= (tptp.member @t2 @t23) (tptp.member @t2 @t21)))) % 1.61/1.82 (define @t25 () (@quantifiers_skolemize @t24 0)) % 1.61/1.82 (define @t26 () (tptp.member @t25 @t18)) % 1.61/1.82 (define @t27 () (tptp.member @t25 @t22)) % 1.61/1.82 (define @t28 () (or @t27 @t26)) % 1.61/1.82 (define @t29 () (tptp.member @t25 @t23)) % 1.61/1.82 (define @t30 () (= @t29 @t28)) % 1.61/1.82 (define @t31 () (not @t30)) % 1.61/1.82 (define @t32 () (tptp.member @t25 @t21)) % 1.61/1.82 (define @t33 () (not @t27)) % 1.61/1.82 (define @t34 () (or @t33 @t32)) % 1.61/1.82 (define @t35 () (tptp.member @t25 @t19)) % 1.61/1.82 (define @t36 () (not @t35)) % 1.61/1.82 (define @t37 () (tptp.member @t25 @t17)) % 1.61/1.82 (define @t38 () (and @t37 @t36)) % 1.61/1.82 (define @t39 () (= @t27 @t38)) % 1.61/1.82 (define @t40 () (not @t39)) % 1.61/1.82 (define @t41 () (not @t38)) % 1.61/1.82 (define @t42 () (not @t26)) % 1.61/1.82 (define @t43 () (or @t42 @t37)) % 1.61/1.82 (define @t44 () (tptp.member @t25 @t16)) % 1.61/1.82 (define @t45 () (and @t37 @t44)) % 1.61/1.82 (define @t46 () (= @t26 @t45)) % 1.61/1.82 (define @t47 () (not @t46)) % 1.61/1.82 (define @t48 () (not @t45)) % 1.61/1.82 (define @t49 () (= (= @t23 @t21) @t24)) % 1.61/1.82 (define @t50 () (= @t21 @t23)) % 1.61/1.82 (define @t51 () (= @t50 @t24)) % 1.61/1.82 (define @t52 () (not @t24)) % 1.61/1.82 (define @t53 () (@list true false)) % 1.61/1.82 (define @t54 () (= @t29 @t32)) % 1.61/1.82 (define @t55 () (tptp.member @t25 @t20)) % 1.61/1.82 (define @t56 () (not @t55)) % 1.61/1.82 (define @t57 () (and @t37 @t56)) % 1.61/1.82 (define @t58 () (not @t57)) % 1.61/1.82 (define @t59 () (not @t43)) % 1.61/1.82 (define @t60 () (= @t32 @t57)) % 1.61/1.82 (define @t61 () (not @t60)) % 1.61/1.82 (define @t62 () (not @t32)) % 1.61/1.82 (define @t63 () (not @t34)) % 1.61/1.82 (define @t64 () (not @t28)) % 1.61/1.82 (define @t65 () (not @t44)) % 1.61/1.82 (define @t66 () (not @t37)) % 1.61/1.82 (define @t67 () (and @t35 @t65)) % 1.61/1.82 (define @t68 () (= @t55 @t67)) % 1.61/1.82 (define @t69 () (not @t68)) % 1.61/1.82 (define @t70 () (not @t67)) % 1.61/1.82 (define @t71 () (@list true)) % 1.61/1.82 (define @t72 () (@list @t37)) % 1.61/1.82 (assume @p1 (forall @t7 (= (tptp.member @t2 @t6) (or @t5 @t3)))) % 1.61/1.82 (assume @p2 (forall @t7 (= (tptp.member @t2 @t8) (and @t5 @t3)))) % 1.61/1.82 (assume @p3 (forall @t7 (= (tptp.member @t2 @t9) (and @t5 (not @t3))))) % 1.61/1.82 (assume @p4 (forall @t12 (= @t11 (and @t10 (tptp.subset @t1 @t4))))) % 1.61/1.82 (assume @p5 (forall @t12 (= @t6 (tptp.union @t1 @t4)))) % 1.61/1.82 (assume @p6 (forall @t12 (= @t8 (tptp.intersection @t1 @t4)))) % 1.61/1.82 (assume @p7 (forall @t12 (= @t10 (forall @t13 (=> @t5 @t3))))) % 1.61/1.82 (assume @p8 (forall (@list @t4) (tptp.subset @t4 @t4))) % 1.61/1.82 (assume @p9 @t14) % 1.61/1.82 (assume @p10 (not @t15)) % 1.61/1.82 (assume @p11 true) % 1.61/1.82 (step @p12 :rule cnf_or_neg :args (@t28 0)) % 1.61/1.82 (step @p13 :rule cnf_or_neg :args (@t28 1)) % 1.61/1.82 (step @p14 :rule instantiate :premises (@p1) :args ((@list @t22 @t18 @t25))) % 1.61/1.82 (step @p15 :rule cnf_equiv_pos1 :args (@t30)) % 1.61/1.82 (step @p16 :rule reordering :premises (@p15) :args ((or (not @t29) @t28 @t31))) % 1.61/1.82 (step @p17 :rule bool-double-not-elim :args (@t27)) % 1.61/1.82 (step @p18 :rule refl :args (@t34)) % 1.61/1.82 (step @p19 :rule nary_cong :premises (@p18 @p17) :args ((or @t34 (not @t33)))) % 1.61/1.82 (step @p20 :rule cnf_or_neg :args (@t34 0)) % 1.61/1.82 (step @p21 :rule eq_resolve :premises (@p20 @p19)) % 1.61/1.82 (step @p22 :rule reordering :premises (@p21) :args ((or @t27 @t34))) % 1.61/1.82 (step @p23 :rule instantiate :premises (@p3) :args ((@list @t17 @t19 @t25))) % 1.61/1.82 (step @p24 :rule cnf_equiv_pos2 :args (@t39)) % 1.61/1.82 (step @p25 :rule reordering :premises (@p24) :args ((or @t27 @t41 @t40))) % 1.61/1.82 (step @p26 :rule bool-double-not-elim :args (@t26)) % 1.61/1.82 (step @p27 :rule refl :args (@t43)) % 1.61/1.82 (step @p28 :rule nary_cong :premises (@p27 @p26) :args ((or @t43 (not @t42)))) % 1.61/1.82 (step @p29 :rule cnf_or_neg :args (@t43 0)) % 1.61/1.82 (step @p30 :rule eq_resolve :premises (@p29 @p28)) % 1.61/1.82 (step @p31 :rule reordering :premises (@p30) :args ((or @t26 @t43))) % 1.61/1.82 (step @p32 :rule instantiate :premises (@p2) :args ((@list @t17 @t16 @t25))) % 1.61/1.82 (step @p33 :rule cnf_equiv_pos2 :args (@t46)) % 1.61/1.82 (step @p34 :rule reordering :premises (@p33) :args ((or @t26 @t48 @t47))) % 1.61/1.82 (step @p35 :rule refl :args (@t24)) % 1.61/1.82 (step @p36 :rule eq-symm :args (@t23 @t21)) % 1.61/1.82 (step @p37 :rule cong :premises (@p36 @p35) :args (@t49)) % 1.61/1.82 (step @p38 :rule refl :args (@t14)) % 1.61/1.82 (step @p39 :rule cong :premises (@p38 @p37) :args ((=> @t14 @t49))) % 1.61/1.82 (assume-push @p128 @t14) % 1.61/1.82 (step @p41 :rule instantiate :premises (@p9) :args ((@list @t23 @t21))) % 1.61/1.82 (step-pop @p129 :rule scope :premises (@p41)) % 1.61/1.82 (step @p42 :rule process_scope :premises (@p129) :args (@t49)) % 1.61/1.82 (step @p44 :rule eq_resolve :premises (@p42 @p39)) % 1.61/1.82 (step @p45 :rule implies_elim :premises (@p44)) % 1.61/1.82 (step @p46 :rule chain_m_resolution :premises (@p45 @p9) :args (@t51 (@list false) (@list @t14))) % 1.61/1.82 (step @p47 :rule skolemize :premises (@p10)) % 1.61/1.82 (step @p48 :rule cnf_equiv_pos2 :args (@t51)) % 1.61/1.82 (step @p49 :rule reordering :premises (@p48) :args ((or @t50 @t52 (not @t51)))) % 1.61/1.82 (step @p50 :rule chain_m_resolution :premises (@p49 @p47 @p46) :args (@t52 @t53 (@list @t50 @t51))) % 1.61/1.82 (step @p51 :rule skolemize :premises (@p50)) % 1.61/1.82 (step @p52 :rule cnf_equiv_neg1 :args (@t54)) % 1.61/1.82 (step @p53 :rule reordering :premises (@p52) :args ((or @t29 @t32 @t54))) % 1.61/1.82 (step @p54 :rule cnf_and_pos :args (@t57 0)) % 1.61/1.82 (step @p55 :rule reordering :premises (@p54) :args ((or @t37 @t58))) % 1.61/1.82 (step @p56 :rule cnf_or_pos :args (@t43)) % 1.61/1.82 (step @p57 :rule reordering :premises (@p56) :args ((or @t37 @t42 @t59))) % 1.61/1.82 (step @p58 :rule instantiate :premises (@p3) :args ((@list @t17 @t20 @t25))) % 1.61/1.82 (step @p59 :rule cnf_equiv_pos1 :args (@t60)) % 1.61/1.82 (step @p60 :rule reordering :premises (@p59) :args ((or @t62 @t57 @t61))) % 1.61/1.82 (step @p61 :rule cnf_or_pos :args (@t34)) % 1.61/1.82 (step @p62 :rule reordering :premises (@p61) :args ((or @t32 @t33 @t63))) % 1.61/1.82 (step @p63 :rule cnf_or_pos :args (@t28)) % 1.61/1.82 (step @p64 :rule reordering :premises (@p63) :args ((or @t27 @t26 @t64))) % 1.61/1.82 (step @p65 :rule chain_m_resolution :premises (@p64 @p16 @p14 @p62 @p53 @p51 @p60 @p58 @p57 @p55) :args ((or @t37 @t63 @t59) (@list false false true false true true false true true) (@list @t28 @t30 @t27 @t29 @t54 @t32 @t60 @t26 @t57))) % 1.61/1.82 (step @p66 :rule cnf_and_neg :args (@t45)) % 1.61/1.82 (step @p67 :rule reordering :premises (@p66) :args ((or @t66 @t45 @t65))) % 1.61/1.82 (step @p68 :rule bool-double-not-elim :args (@t35)) % 1.61/1.82 (step @p69 :rule refl :args (@t66)) % 1.61/1.82 (step @p70 :rule refl :args (@t38)) % 1.61/1.82 (step @p71 :rule nary_cong :premises (@p70 @p69 @p68) :args ((or @t38 @t66 (not @t36)))) % 1.61/1.82 (step @p72 :rule cnf_and_neg :args (@t38)) % 1.61/1.82 (step @p73 :rule eq_resolve :premises (@p72 @p71)) % 1.61/1.82 (step @p74 :rule reordering :premises (@p73) :args ((or @t66 @t35 @t38))) % 1.61/1.82 (step @p75 :rule cnf_and_pos :args (@t57 1)) % 1.61/1.82 (step @p76 :rule reordering :premises (@p75) :args ((or @t56 @t58))) % 1.61/1.82 (step @p77 :rule bool-double-not-elim :args (@t44)) % 1.61/1.82 (step @p78 :rule refl :args (@t36)) % 1.61/1.82 (step @p79 :rule refl :args (@t67)) % 1.61/1.82 (step @p80 :rule nary_cong :premises (@p79 @p78 @p77) :args ((or @t67 @t36 (not @t65)))) % 1.61/1.82 (step @p81 :rule cnf_and_neg :args (@t67)) % 1.61/1.82 (step @p82 :rule eq_resolve :premises (@p81 @p80)) % 1.61/1.82 (step @p83 :rule reordering :premises (@p82) :args ((or @t44 @t67 @t36))) % 1.61/1.82 (step @p84 :rule instantiate :premises (@p3) :args ((@list @t19 @t16 @t25))) % 1.61/1.82 (step @p85 :rule cnf_equiv_pos2 :args (@t68)) % 1.61/1.83 (step @p86 :rule reordering :premises (@p85) :args ((or @t55 @t70 @t69))) % 1.61/1.83 (step @p87 :rule chain_m_resolution :premises (@p86 @p84 @p83 @p76 @p74 @p60 @p58 @p67 @p65 @p53 @p51 @p34 @p32 @p31 @p25 @p23 @p22 @p16 @p14 @p13 @p12) :args (@t28 (@list false false true false false false true false false true true false false true false false true false true true) (@list @t68 @t67 @t55 @t35 @t57 @t60 @t44 @t37 @t32 @t54 @t45 @t46 @t43 @t38 @t39 @t34 @t29 @t30 @t26 @t27))) % 1.61/1.83 (step @p88 :rule cnf_equiv_pos2 :args (@t30)) % 1.61/1.83 (step @p89 :rule reordering :premises (@p88) :args ((or @t29 @t64 @t31))) % 1.61/1.83 (step @p90 :rule chain_m_resolution :premises (@p89 @p87 @p14) :args (@t29 (@list false false) (@list @t28 @t30))) % 1.61/1.83 (step @p91 :rule cnf_equiv_neg2 :args (@t54)) % 1.61/1.83 (step @p92 :rule chain_m_resolution :premises (@p91 @p51 @p90) :args (@t62 @t53 (@list @t54 @t29))) % 1.61/1.83 (step @p93 :rule cnf_equiv_pos2 :args (@t60)) % 1.61/1.83 (step @p94 :rule reordering :premises (@p93) :args ((or @t32 @t58 @t61))) % 1.61/1.83 (step @p95 :rule chain_m_resolution :premises (@p94 @p92 @p58) :args (@t58 @t53 (@list @t32 @t60))) % 1.61/1.83 (step @p96 :rule cnf_and_pos :args (@t67 0)) % 1.61/1.83 (step @p97 :rule reordering :premises (@p96) :args ((or @t35 @t70))) % 1.61/1.83 (step @p98 :rule cnf_and_pos :args (@t67 1)) % 1.61/1.83 (step @p99 :rule reordering :premises (@p98) :args ((or @t65 @t70))) % 1.61/1.83 (step @p100 :rule cnf_and_pos :args (@t38 1)) % 1.61/1.83 (step @p101 :rule reordering :premises (@p100) :args ((or @t36 @t41))) % 1.61/1.83 (step @p102 :rule cnf_and_pos :args (@t45 1)) % 1.61/1.83 (step @p103 :rule reordering :premises (@p102) :args ((or @t44 @t48))) % 1.61/1.83 (step @p104 :rule cnf_equiv_pos1 :args (@t39)) % 1.61/1.83 (step @p105 :rule reordering :premises (@p104) :args ((or @t33 @t38 @t40))) % 1.61/1.83 (step @p106 :rule cnf_equiv_pos1 :args (@t46)) % 1.61/1.83 (step @p107 :rule reordering :premises (@p106) :args ((or @t42 @t45 @t47))) % 1.61/1.83 (step @p108 :rule chain_m_resolution :premises (@p64 @p87 @p107 @p32 @p105 @p23 @p103 @p101 @p99 @p97) :args (@t70 (@list false true false true false true true true false) (@list @t28 @t26 @t46 @t27 @t39 @t45 @t38 @t44 @t35))) % 1.61/1.83 (step @p109 :rule cnf_equiv_pos1 :args (@t68)) % 1.61/1.83 (step @p110 :rule reordering :premises (@p109) :args ((or @t56 @t67 @t69))) % 1.61/1.83 (step @p111 :rule chain_m_resolution :premises (@p110 @p108 @p84) :args (@t56 @t53 (@list @t67 @t68))) % 1.61/1.83 (step @p112 :rule bool-double-not-elim :args (@t55)) % 1.61/1.83 (step @p113 :rule refl :args (@t57)) % 1.61/1.83 (step @p114 :rule nary_cong :premises (@p113 @p69 @p112) :args ((or @t57 @t66 (not @t56)))) % 1.61/1.83 (step @p115 :rule cnf_and_neg :args (@t57)) % 1.61/1.83 (step @p116 :rule eq_resolve :premises (@p115 @p114)) % 1.61/1.83 (step @p117 :rule reordering :premises (@p116) :args ((or @t55 @t57 @t66))) % 1.61/1.83 (step @p118 :rule chain_m_resolution :premises (@p117 @p111 @p95) :args (@t66 (@list true true) (@list @t55 @t57))) % 1.61/1.83 (step @p119 :rule cnf_and_pos :args (@t45 0)) % 1.61/1.83 (step @p120 :rule reordering :premises (@p119) :args ((or @t37 @t48))) % 1.61/1.83 (step @p121 :rule chain_m_resolution :premises (@p120 @p118) :args (@t48 @t71 @t72)) % 1.61/1.83 (step @p122 :rule chain_m_resolution :premises (@p107 @p121 @p32) :args (@t42 @t53 (@list @t45 @t46))) % 1.61/1.83 (step @p123 :rule cnf_and_pos :args (@t38 0)) % 1.61/1.83 (step @p124 :rule reordering :premises (@p123) :args ((or @t37 @t41))) % 1.61/1.83 (step @p125 :rule chain_m_resolution :premises (@p124 @p118) :args (@t41 @t71 @t72)) % 1.61/1.83 (step @p126 :rule chain_m_resolution :premises (@p105 @p125 @p23) :args (@t33 @t53 (@list @t38 @t39))) % 1.61/1.83 (step @p127 false :rule chain_m_resolution :premises (@p64 @p126 @p122 @p87) :args (false (@list true true false) (@list @t27 @t26 @t28))) % 1.61/1.83 ) % 1.61/1.83 % SZS output end Proof % 1.61/1.83 % cvc5 exiting %------------------------------------------------------------------------------