%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET610+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 : n018.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 08:48:13 AM UTC 2026 % Result : Theorem 0.46s 0.64s % Output : Proof 0.46s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SET610+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 % 0.17/0.35 % Computer : n018.cluster.edu % 0.17/0.35 % Model : x86_64 x86_64 % 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.35 % Memory : 8042.1875MB % 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Tue Jun 2 16:04:35 EDT 2026 % 0.17/0.35 % CPUTime : % 0.28/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.46/0.64 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.46/0.64 % SZS status Theorem % 0.46/0.64 % SZS output start Proof % 0.46/0.64 ( % 0.46/0.64 (declare-sort $$unsorted 0) % 0.46/0.64 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.46/0.64 (declare-const tptp.difference (-> $$unsorted $$unsorted $$unsorted)) % 0.46/0.64 (declare-const tptp.union (-> $$unsorted $$unsorted $$unsorted)) % 0.46/0.64 (declare-const tptp.member (-> $$unsorted $$unsorted Bool)) % 0.46/0.64 (define @t1 () (@var "C" $$unsorted)) % 0.46/0.64 (define @t2 () (@var "B" $$unsorted)) % 0.46/0.64 (define @t3 () (= @t2 @t1)) % 0.46/0.64 (define @t4 () (@var "D" $$unsorted)) % 0.46/0.64 (define @t5 () (tptp.member @t4 @t1)) % 0.46/0.64 (define @t6 () (tptp.member @t4 @t2)) % 0.46/0.64 (define @t7 () (@list @t4)) % 0.46/0.64 (define @t8 () (forall @t7 (= @t6 @t5))) % 0.46/0.64 (define @t9 () (@list @t2 @t1)) % 0.46/0.64 (define @t10 () (forall @t9 (=> @t8 @t3))) % 0.46/0.64 (define @t11 () (tptp.union @t2 @t1)) % 0.46/0.64 (define @t12 () (@list @t2 @t1 @t4)) % 0.46/0.64 (define @t13 () (tptp.difference @t2 @t1)) % 0.46/0.64 (define @t14 () (tptp.subset @t2 @t1)) % 0.46/0.64 (define @t15 () (tptp.difference @t11 @t1)) % 0.46/0.64 (define @t16 () (forall @t9 (= @t15 @t13))) % 0.46/0.64 (define @t17 () (not @t16)) % 0.46/0.64 (define @t18 () (forall @t9 (= @t13 @t15))) % 0.46/0.64 (define @t19 () (@quantifiers_skolemize @t18 1)) % 0.46/0.64 (define @t20 () (@quantifiers_skolemize @t18 0)) % 0.46/0.64 (define @t21 () (tptp.difference @t20 @t19)) % 0.46/0.64 (define @t22 () (tptp.member @t4 @t21)) % 0.46/0.64 (define @t23 () (tptp.union @t20 @t19)) % 0.46/0.64 (define @t24 () (tptp.difference @t23 @t19)) % 0.46/0.64 (define @t25 () (forall @t7 (= (tptp.member @t4 @t24) @t22))) % 0.46/0.64 (define @t26 () (@quantifiers_skolemize @t25 0)) % 0.46/0.64 (define @t27 () (tptp.member @t26 @t19)) % 0.46/0.64 (define @t28 () (not @t27)) % 0.46/0.64 (define @t29 () (tptp.member @t26 @t23)) % 0.46/0.64 (define @t30 () (and @t29 @t28)) % 0.46/0.64 (define @t31 () (tptp.member @t26 @t24)) % 0.46/0.64 (define @t32 () (= @t31 @t30)) % 0.46/0.64 (define @t33 () (not @t32)) % 0.46/0.64 (define @t34 () (not @t25)) % 0.46/0.64 (define @t35 () (or @t34 (= @t24 @t21))) % 0.46/0.64 (define @t36 () (forall @t9 (or (not @t8) @t3))) % 0.46/0.64 (define @t37 () (= @t21 @t24)) % 0.46/0.64 (define @t38 () (or @t34 @t37)) % 0.46/0.64 (define @t39 () (@list false)) % 0.46/0.64 (define @t40 () (@list true false)) % 0.46/0.64 (define @t41 () (tptp.member @t26 @t21)) % 0.46/0.64 (define @t42 () (= @t31 @t41)) % 0.46/0.64 (define @t43 () (@list @t20 @t19 @t26)) % 0.46/0.64 (define @t44 () (tptp.member @t26 @t20)) % 0.46/0.64 (define @t45 () (and @t44 @t28)) % 0.46/0.64 (define @t46 () (= @t41 @t45)) % 0.46/0.64 (define @t47 () (not @t46)) % 0.46/0.64 (define @t48 () (not @t41)) % 0.46/0.64 (define @t49 () (forall @t7 (or (not @t22) (tptp.member @t4 @t20)))) % 0.46/0.64 (define @t50 () (@quantifiers_skolemize @t49 0)) % 0.46/0.64 (define @t51 () (tptp.member @t50 @t21)) % 0.46/0.64 (define @t52 () (tptp.member @t50 @t20)) % 0.46/0.64 (define @t53 () (not @t51)) % 0.46/0.64 (define @t54 () (or @t53 @t52)) % 0.46/0.64 (define @t55 () (and @t52 (not (tptp.member @t50 @t19)))) % 0.46/0.64 (define @t56 () (= @t51 @t55)) % 0.46/0.64 (define @t57 () (not @t54)) % 0.46/0.64 (define @t58 () (not @t49)) % 0.46/0.64 (define @t59 () (or @t48 @t44)) % 0.46/0.64 (define @t60 () (not @t45)) % 0.46/0.64 (define @t61 () (or @t44 @t27)) % 0.46/0.64 (define @t62 () (not @t44)) % 0.46/0.64 (define @t63 () (not @t29)) % 0.46/0.64 (define @t64 () (not @t28)) % 0.46/0.64 (define @t65 () (= @t29 @t61)) % 0.46/0.64 (define @t66 () (not @t65)) % 0.46/0.64 (define @t67 () (not @t61)) % 0.46/0.64 (define @t68 () (not @t30)) % 0.46/0.64 (define @t69 () (@list @t30)) % 0.46/0.64 (define @t70 () (@list false false)) % 0.46/0.64 (assume @p1 @t10) % 0.46/0.64 (assume @p2 (forall @t12 (= (tptp.member @t4 @t11) (or @t6 @t5)))) % 0.46/0.64 (assume @p3 (forall @t12 (= (tptp.member @t4 @t13) (and @t6 (not @t5))))) % 0.46/0.64 (assume @p4 (forall @t9 (= @t3 (and @t14 (tptp.subset @t1 @t2))))) % 0.46/0.64 (assume @p5 (forall @t9 (= @t11 (tptp.union @t1 @t2)))) % 0.46/0.64 (assume @p6 (forall @t9 (= @t3 @t8))) % 0.46/0.64 (assume @p7 (forall @t9 (= @t14 (forall @t7 (=> @t6 @t5))))) % 0.46/0.64 (assume @p8 (forall (@list @t2) (tptp.subset @t2 @t2))) % 0.46/0.64 (assume @p9 @t17) % 0.46/0.64 (assume @p10 true) % 0.46/0.64 (step @p11 :rule instantiate :premises (@p3) :args ((@list @t23 @t19 @t26))) % 0.46/0.64 (step @p12 :rule cnf_equiv_pos1 :args (@t32)) % 0.46/0.64 (step @p13 :rule reordering :premises (@p12) :args ((or (not @t31) @t30 @t33))) % 0.46/0.64 (step @p14 :rule bool-impl-elim :args (@t8 @t3)) % 0.46/0.64 (step @p15 :rule cong :premises (@p14) :args (@t10)) % 0.46/0.64 (step @p16 :rule eq_resolve :premises (@p1 @p15)) % 0.46/0.64 (step @p17 :rule eq-symm :args (@t24 @t21)) % 0.46/0.64 (step @p18 :rule refl :args (@t34)) % 0.46/0.64 (step @p19 :rule nary_cong :premises (@p18 @p17) :args (@t35)) % 0.46/0.64 (step @p20 :rule refl :args (@t36)) % 0.46/0.64 (step @p21 :rule cong :premises (@p20 @p19) :args ((=> @t36 @t35))) % 0.46/0.65 (assume-push @p116 @t36) % 0.46/0.65 (step @p23 :rule instantiate :premises (@p16) :args ((@list @t24 @t21))) % 0.46/0.65 (step-pop @p117 :rule scope :premises (@p23)) % 0.46/0.65 (step @p24 :rule process_scope :premises (@p117) :args (@t35)) % 0.46/0.65 (step @p26 :rule eq_resolve :premises (@p24 @p21)) % 0.46/0.65 (step @p27 :rule implies_elim :premises (@p26)) % 0.46/0.65 (step @p28 :rule chain_m_resolution :premises (@p27 @p16) :args (@t38 @t39 (@list @t36))) % 0.46/0.65 (step @p29 :rule eq-symm :args (@t15 @t13)) % 0.46/0.65 (step @p30 :rule cong :premises (@p29) :args (@t16)) % 0.46/0.65 (step @p31 :rule cong :premises (@p30) :args (@t17)) % 0.46/0.65 (step @p32 :rule eq_resolve :premises (@p9 @p31)) % 0.46/0.65 (step @p33 :rule skolemize :premises (@p32)) % 0.46/0.65 (step @p34 :rule cnf_or_pos :args (@t38)) % 0.46/0.65 (step @p35 :rule reordering :premises (@p34) :args ((or @t37 @t34 (not @t38)))) % 0.46/0.65 (step @p36 :rule chain_m_resolution :premises (@p35 @p33 @p28) :args (@t34 @t40 (@list @t37 @t38))) % 0.46/0.65 (step @p37 :rule skolemize :premises (@p36)) % 0.46/0.65 (step @p38 :rule cnf_equiv_neg1 :args (@t42)) % 0.46/0.65 (step @p39 :rule reordering :premises (@p38) :args ((or @t31 @t41 @t42))) % 0.46/0.65 (step @p40 :rule instantiate :premises (@p3) :args (@t43)) % 0.46/0.65 (step @p41 :rule cnf_equiv_pos1 :args (@t46)) % 0.46/0.65 (step @p42 :rule reordering :premises (@p41) :args ((or @t48 @t45 @t47))) % 0.46/0.65 (step @p43 :rule bool-double-not-elim :args (@t51)) % 0.46/0.65 (step @p44 :rule refl :args (@t54)) % 0.46/0.65 (step @p45 :rule nary_cong :premises (@p44 @p43) :args ((or @t54 (not @t53)))) % 0.46/0.65 (step @p46 :rule cnf_or_neg :args (@t54 0)) % 0.46/0.65 (step @p47 :rule eq_resolve :premises (@p46 @p45)) % 0.46/0.65 (step @p48 :rule reordering :premises (@p47) :args ((or @t51 @t54))) % 0.46/0.65 (step @p49 :rule cnf_or_neg :args (@t54 1)) % 0.46/0.65 (step @p50 :rule instantiate :premises (@p3) :args ((@list @t20 @t19 @t50))) % 0.46/0.65 (step @p51 :rule cnf_equiv_pos1 :args (@t56)) % 0.46/0.65 (step @p52 :rule reordering :premises (@p51) :args ((or @t53 @t55 (not @t56)))) % 0.46/0.65 (step @p53 :rule cnf_and_pos :args (@t55 0)) % 0.46/0.65 (step @p54 :rule reordering :premises (@p53) :args ((or @t52 (not @t55)))) % 0.46/0.65 (step @p55 :rule chain_m_resolution :premises (@p54 @p52 @p50 @p49 @p48) :args (@t54 (@list false false true false) (@list @t55 @t56 @t52 @t51))) % 0.46/0.65 (step @p56 :rule refl :args (@t57)) % 0.46/0.65 (step @p57 :rule bool-double-not-elim :args (@t49)) % 0.46/0.65 (step @p58 :rule nary_cong :premises (@p57 @p56) :args ((or (not @t58) @t57))) % 0.46/0.65 (assume-push @p118 @t58) % 0.46/0.65 (step @p60 :rule skolemize :premises (@p118)) % 0.46/0.65 (step-pop @p119 :rule scope :premises (@p60)) % 0.46/0.65 (step @p61 :rule process_scope :premises (@p119) :args (@t57)) % 0.46/0.65 (step @p63 :rule implies_elim :premises (@p61)) % 0.46/0.65 (step @p64 :rule eq_resolve :premises (@p63 @p58)) % 0.46/0.65 (step @p65 :rule chain_m_resolution :premises (@p64 @p55) :args (@t49 @t39 (@list @t54))) % 0.46/0.65 (assume-push @p120 @t49) % 0.46/0.65 (step @p67 :rule instantiate :premises (@p120) :args ((@list @t26))) % 0.46/0.65 (step-pop @p121 :rule scope :premises (@p67)) % 0.46/0.65 (step @p68 :rule process_scope :premises (@p121) :args (@t59)) % 0.46/0.65 (step @p70 :rule implies_elim :premises (@p68)) % 0.46/0.65 (step @p71 :rule chain_m_resolution :premises (@p70 @p65) :args (@t59 @t39 (@list @t49))) % 0.46/0.65 (step @p72 :rule cnf_or_pos :args (@t59)) % 0.46/0.65 (step @p73 :rule reordering :premises (@p72) :args ((or @t48 @t44 (not @t59)))) % 0.46/0.65 (step @p74 :rule cnf_and_pos :args (@t45 1)) % 0.46/0.65 (step @p75 :rule reordering :premises (@p74) :args ((or @t28 @t60))) % 0.46/0.65 (step @p76 :rule cnf_or_neg :args (@t61 0)) % 0.46/0.65 (step @p77 :rule reordering :premises (@p76) :args ((or @t62 @t61))) % 0.46/0.65 (step @p78 :rule bool-double-not-elim :args (@t27)) % 0.46/0.65 (step @p79 :rule refl :args (@t63)) % 0.46/0.65 (step @p80 :rule refl :args (@t30)) % 0.46/0.65 (step @p81 :rule nary_cong :premises (@p80 @p79 @p78) :args ((or @t30 @t63 @t64))) % 0.46/0.65 (step @p82 :rule cnf_and_neg :args (@t30)) % 0.46/0.65 (step @p83 :rule eq_resolve :premises (@p82 @p81)) % 0.46/0.65 (step @p84 :rule reordering :premises (@p83) :args ((or @t27 @t30 @t63))) % 0.46/0.65 (step @p85 :rule instantiate :premises (@p2) :args (@t43)) % 0.46/0.65 (step @p86 :rule cnf_equiv_pos2 :args (@t65)) % 0.46/0.65 (step @p87 :rule reordering :premises (@p86) :args ((or @t29 @t67 @t66))) % 0.46/0.65 (step @p88 :rule chain_m_resolution :premises (@p87 @p85 @p84 @p77 @p75 @p73 @p71 @p42 @p40 @p39 @p37 @p13 @p11) :args (@t30 (@list false true false true false false false false false true true false) (@list @t65 @t29 @t61 @t27 @t44 @t59 @t45 @t46 @t41 @t42 @t31 @t32))) % 0.46/0.65 (step @p89 :rule cnf_and_pos :args (@t30 1)) % 0.46/0.65 (step @p90 :rule reordering :premises (@p89) :args ((or @t28 @t68))) % 0.46/0.65 (step @p91 :rule chain_m_resolution :premises (@p90 @p88) :args (@t28 @t39 @t69)) % 0.46/0.65 (step @p92 :rule cnf_and_pos :args (@t30 0)) % 0.46/0.65 (step @p93 :rule reordering :premises (@p92) :args ((or @t29 @t68))) % 0.46/0.65 (step @p94 :rule chain_m_resolution :premises (@p93 @p88) :args (@t29 @t39 @t69)) % 0.46/0.65 (step @p95 :rule cnf_equiv_pos1 :args (@t65)) % 0.46/0.65 (step @p96 :rule reordering :premises (@p95) :args ((or @t63 @t61 @t66))) % 0.46/0.65 (step @p97 :rule chain_m_resolution :premises (@p96 @p94 @p85) :args (@t61 @t70 (@list @t29 @t65))) % 0.46/0.65 (step @p98 :rule cnf_or_pos :args (@t61)) % 0.46/0.65 (step @p99 :rule reordering :premises (@p98) :args ((or @t27 @t44 @t67))) % 0.46/0.65 (step @p100 :rule chain_m_resolution :premises (@p99 @p91 @p97) :args (@t44 @t40 (@list @t27 @t61))) % 0.46/0.65 (step @p101 :rule cnf_equiv_pos2 :args (@t32)) % 0.46/0.65 (step @p102 :rule reordering :premises (@p101) :args ((or @t31 @t68 @t33))) % 0.46/0.65 (step @p103 :rule chain_m_resolution :premises (@p102 @p88 @p11) :args (@t31 @t70 (@list @t30 @t32))) % 0.46/0.65 (step @p104 :rule cnf_equiv_neg2 :args (@t42)) % 0.46/0.65 (step @p105 :rule chain_m_resolution :premises (@p104 @p37 @p103) :args (@t48 @t40 (@list @t42 @t31))) % 0.46/0.65 (step @p106 :rule cnf_equiv_pos2 :args (@t46)) % 0.46/0.65 (step @p107 :rule reordering :premises (@p106) :args ((or @t41 @t60 @t47))) % 0.46/0.65 (step @p108 :rule chain_m_resolution :premises (@p107 @p105 @p40) :args (@t60 @t40 (@list @t41 @t46))) % 0.46/0.65 (step @p109 :rule refl :args (@t62)) % 0.46/0.65 (step @p110 :rule refl :args (@t45)) % 0.46/0.65 (step @p111 :rule nary_cong :premises (@p110 @p109 @p78) :args ((or @t45 @t62 @t64))) % 0.46/0.65 (step @p112 :rule cnf_and_neg :args (@t45)) % 0.46/0.65 (step @p113 :rule eq_resolve :premises (@p112 @p111)) % 0.46/0.65 (step @p114 :rule reordering :premises (@p113) :args ((or @t27 @t45 @t62))) % 0.46/0.65 (step @p115 false :rule chain_m_resolution :premises (@p114 @p108 @p100 @p91) :args (false (@list true false true) (@list @t45 @t44 @t27))) % 0.46/0.65 ) % 0.46/0.65 % SZS output end Proof % 0.46/0.65 % cvc5 exiting %------------------------------------------------------------------------------