%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET614+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 : 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 08:48:14 AM UTC 2026 % Result : Theorem 0.53s 0.80s % Output : Proof 0.36s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SET614+3 : TPTP v9.2.1. Released v2.2.0. % 0.12/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.18/0.35 % Computer : n026.cluster.edu % 0.18/0.35 % Model : x86_64 x86_64 % 0.18/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.35 % Memory : 8042.1875MB % 0.18/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.35 % CPULimit : 300 % 0.18/0.35 % WCLimit : 300 % 0.18/0.35 % DateTime : Tue Jun 2 16:05:10 EDT 2026 % 0.18/0.35 % CPUTime : % 0.28/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.53/0.80 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.53/0.80 % SZS status Theorem % 0.53/0.80 % SZS output start Proof % 0.53/0.80 ( % 0.53/0.80 (declare-sort $$unsorted 0) % 0.53/0.80 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.53/0.80 (declare-const tptp.difference (-> $$unsorted $$unsorted $$unsorted)) % 0.53/0.80 (declare-const tptp.union (-> $$unsorted $$unsorted $$unsorted)) % 0.53/0.80 (declare-const tptp.member (-> $$unsorted $$unsorted Bool)) % 0.53/0.80 (define @t1 () (@var "C" $$unsorted)) % 0.53/0.80 (define @t2 () (@var "D" $$unsorted)) % 0.53/0.80 (define @t3 () (tptp.member @t2 @t1)) % 0.53/0.80 (define @t4 () (@var "B" $$unsorted)) % 0.53/0.80 (define @t5 () (tptp.member @t2 @t4)) % 0.53/0.80 (define @t6 () (tptp.union @t4 @t1)) % 0.53/0.80 (define @t7 () (@list @t4 @t1 @t2)) % 0.53/0.80 (define @t8 () (tptp.difference @t4 @t1)) % 0.53/0.80 (define @t9 () (tptp.subset @t4 @t1)) % 0.53/0.80 (define @t10 () (= @t4 @t1)) % 0.53/0.80 (define @t11 () (@list @t4 @t1)) % 0.53/0.80 (define @t12 () (@list @t2)) % 0.53/0.80 (define @t13 () (forall @t11 (= @t10 (forall @t12 (= @t5 @t3))))) % 0.53/0.80 (define @t14 () (forall @t7 (= (tptp.difference @t8 @t2) (tptp.difference @t4 (tptp.union @t1 @t2))))) % 0.53/0.80 (define @t15 () (@quantifiers_skolemize @t14 2)) % 0.53/0.80 (define @t16 () (@quantifiers_skolemize @t14 1)) % 0.53/0.80 (define @t17 () (@quantifiers_skolemize @t14 0)) % 0.53/0.80 (define @t18 () (tptp.difference @t17 @t16)) % 0.53/0.80 (define @t19 () (tptp.difference @t18 @t15)) % 0.53/0.80 (define @t20 () (tptp.union @t16 @t15)) % 0.53/0.80 (define @t21 () (tptp.difference @t17 @t20)) % 0.53/0.80 (define @t22 () (forall @t12 (= (tptp.member @t2 @t21) (tptp.member @t2 @t19)))) % 0.53/0.80 (define @t23 () (@quantifiers_skolemize @t22 0)) % 0.53/0.80 (define @t24 () (tptp.member @t23 @t15)) % 0.53/0.80 (define @t25 () (not @t24)) % 0.53/0.80 (define @t26 () (tptp.member @t23 @t18)) % 0.53/0.80 (define @t27 () (and @t26 @t25)) % 0.53/0.80 (define @t28 () (tptp.member @t23 @t19)) % 0.53/0.80 (define @t29 () (= @t28 @t27)) % 0.53/0.80 (define @t30 () (not @t29)) % 0.53/0.80 (define @t31 () (= (= @t21 @t19) @t22)) % 0.53/0.80 (define @t32 () (= @t19 @t21)) % 0.53/0.80 (define @t33 () (= @t32 @t22)) % 0.53/0.80 (define @t34 () (@list false)) % 0.53/0.80 (define @t35 () (not @t22)) % 0.53/0.80 (define @t36 () (@list true false)) % 0.53/0.80 (define @t37 () (tptp.member @t23 @t21)) % 0.53/0.80 (define @t38 () (= @t37 @t28)) % 0.53/0.80 (define @t39 () (tptp.member @t23 @t20)) % 0.53/0.80 (define @t40 () (not @t39)) % 0.53/0.80 (define @t41 () (tptp.member @t23 @t17)) % 0.53/0.80 (define @t42 () (and @t41 @t40)) % 0.53/0.80 (define @t43 () (= @t37 @t42)) % 0.53/0.80 (define @t44 () (not @t43)) % 0.53/0.80 (define @t45 () (not @t37)) % 0.53/0.80 (define @t46 () (not @t42)) % 0.53/0.80 (define @t47 () (tptp.member @t23 @t16)) % 0.53/0.80 (define @t48 () (or @t47 @t24)) % 0.53/0.80 (define @t49 () (= @t39 @t48)) % 0.53/0.80 (define @t50 () (not @t49)) % 0.53/0.80 (define @t51 () (not @t48)) % 0.53/0.80 (define @t52 () (not @t41)) % 0.53/0.80 (define @t53 () (not @t47)) % 0.53/0.80 (define @t54 () (and @t41 @t53)) % 0.53/0.80 (define @t55 () (not @t26)) % 0.53/0.80 (define @t56 () (= @t26 @t54)) % 0.53/0.80 (define @t57 () (not @t56)) % 0.53/0.80 (define @t58 () (not @t54)) % 0.53/0.80 (define @t59 () (not @t27)) % 0.53/0.80 (define @t60 () (@list @t27)) % 0.53/0.80 (define @t61 () (@list false false)) % 0.53/0.80 (define @t62 () (@list @t54)) % 0.53/0.80 (assume @p1 (forall @t7 (= (tptp.member @t2 @t6) (or @t5 @t3)))) % 0.53/0.80 (assume @p2 (forall @t7 (= (tptp.member @t2 @t8) (and @t5 (not @t3))))) % 0.53/0.80 (assume @p3 (forall @t11 (= @t10 (and @t9 (tptp.subset @t1 @t4))))) % 0.53/0.80 (assume @p4 (forall @t11 (= @t6 (tptp.union @t1 @t4)))) % 0.53/0.80 (assume @p5 (forall @t11 (= @t9 (forall @t12 (=> @t5 @t3))))) % 0.53/0.80 (assume @p6 (forall (@list @t4) (tptp.subset @t4 @t4))) % 0.53/0.80 (assume @p7 @t13) % 0.53/0.80 (assume @p8 (not @t14)) % 0.53/0.80 (assume @p9 true) % 0.53/0.80 (step @p10 :rule instantiate :premises (@p1) :args ((@list @t16 @t15 @t23))) % 0.53/0.80 (step @p11 :rule instantiate :premises (@p2) :args ((@list @t17 @t16 @t23))) % 0.53/0.80 (step @p12 :rule instantiate :premises (@p2) :args ((@list @t18 @t15 @t23))) % 0.53/0.80 (step @p13 :rule cnf_equiv_pos1 :args (@t29)) % 0.53/0.80 (step @p14 :rule reordering :premises (@p13) :args ((or (not @t28) @t27 @t30))) % 0.53/0.80 (step @p15 :rule refl :args (@t22)) % 0.53/0.80 (step @p16 :rule eq-symm :args (@t21 @t19)) % 0.53/0.80 (step @p17 :rule cong :premises (@p16 @p15) :args (@t31)) % 0.53/0.80 (step @p18 :rule refl :args (@t13)) % 0.53/0.80 (step @p19 :rule cong :premises (@p18 @p17) :args ((=> @t13 @t31))) % 0.53/0.80 (assume-push @p99 @t13) % 0.53/0.80 (step @p21 :rule instantiate :premises (@p7) :args ((@list @t21 @t19))) % 0.53/0.80 (step-pop @p100 :rule scope :premises (@p21)) % 0.53/0.80 (step @p22 :rule process_scope :premises (@p100) :args (@t31)) % 0.53/0.80 (step @p24 :rule eq_resolve :premises (@p22 @p19)) % 0.53/0.80 (step @p25 :rule implies_elim :premises (@p24)) % 0.53/0.80 (step @p26 :rule chain_m_resolution :premises (@p25 @p7) :args (@t33 @t34 (@list @t13))) % 0.53/0.80 (step @p27 :rule skolemize :premises (@p8)) % 0.53/0.80 (step @p28 :rule cnf_equiv_pos2 :args (@t33)) % 0.53/0.80 (step @p29 :rule reordering :premises (@p28) :args ((or @t32 @t35 (not @t33)))) % 0.53/0.80 (step @p30 :rule chain_m_resolution :premises (@p29 @p27 @p26) :args (@t35 @t36 (@list @t32 @t33))) % 0.53/0.80 (step @p31 :rule skolemize :premises (@p30)) % 0.53/0.80 (step @p32 :rule cnf_equiv_neg1 :args (@t38)) % 0.53/0.80 (step @p33 :rule reordering :premises (@p32) :args ((or @t37 @t28 @t38))) % 0.53/0.80 (step @p34 :rule instantiate :premises (@p2) :args ((@list @t17 @t20 @t23))) % 0.53/0.80 (step @p35 :rule cnf_equiv_pos1 :args (@t43)) % 0.53/0.80 (step @p36 :rule reordering :premises (@p35) :args ((or @t45 @t42 @t44))) % 0.53/0.80 (step @p37 :rule cnf_and_pos :args (@t42 0)) % 0.53/0.80 (step @p38 :rule reordering :premises (@p37) :args ((or @t41 @t46))) % 0.53/0.80 (step @p39 :rule cnf_and_pos :args (@t42 1)) % 0.53/0.80 (step @p40 :rule reordering :premises (@p39) :args ((or @t40 @t46))) % 0.53/0.80 (step @p41 :rule cnf_equiv_pos2 :args (@t49)) % 0.53/0.80 (step @p42 :rule reordering :premises (@p41) :args ((or @t39 @t51 @t50))) % 0.53/0.80 (step @p43 :rule cnf_or_neg :args (@t48 0)) % 0.53/0.80 (step @p44 :rule cnf_or_neg :args (@t48 1)) % 0.53/0.80 (step @p45 :rule reordering :premises (@p44) :args ((or @t25 @t48))) % 0.53/0.80 (step @p46 :rule bool-double-not-elim :args (@t47)) % 0.53/0.80 (step @p47 :rule refl :args (@t52)) % 0.53/0.80 (step @p48 :rule refl :args (@t54)) % 0.53/0.80 (step @p49 :rule nary_cong :premises (@p48 @p47 @p46) :args ((or @t54 @t52 (not @t53)))) % 0.53/0.80 (step @p50 :rule cnf_and_neg :args (@t54)) % 0.53/0.80 (step @p51 :rule eq_resolve :premises (@p50 @p49)) % 0.53/0.80 (step @p52 :rule reordering :premises (@p51) :args ((or @t52 @t47 @t54))) % 0.53/0.80 (step @p53 :rule bool-double-not-elim :args (@t24)) % 0.53/0.80 (step @p54 :rule refl :args (@t55)) % 0.53/0.80 (step @p55 :rule refl :args (@t27)) % 0.53/0.80 (step @p56 :rule nary_cong :premises (@p55 @p54 @p53) :args ((or @t27 @t55 (not @t25)))) % 0.53/0.80 (step @p57 :rule cnf_and_neg :args (@t27)) % 0.53/0.80 (step @p58 :rule eq_resolve :premises (@p57 @p56)) % 0.53/0.80 (step @p59 :rule reordering :premises (@p58) :args ((or @t24 @t27 @t55))) % 0.53/0.80 (step @p60 :rule cnf_equiv_pos2 :args (@t56)) % 0.53/0.80 (step @p61 :rule reordering :premises (@p60) :args ((or @t26 @t58 @t57))) % 0.53/0.80 (step @p62 :rule chain_m_resolution :premises (@p61 @p11 @p59 @p52 @p45 @p43 @p42 @p10 @p40 @p38 @p36 @p34 @p33 @p31 @p14 @p12) :args (@t27 (@list false true false true true true false true false false false false true true false) (@list @t56 @t26 @t54 @t24 @t47 @t48 @t49 @t39 @t41 @t42 @t43 @t37 @t38 @t28 @t29))) % 0.53/0.80 (step @p63 :rule cnf_and_pos :args (@t27 0)) % 0.53/0.80 (step @p64 :rule reordering :premises (@p63) :args ((or @t26 @t59))) % 0.53/0.80 (step @p65 :rule chain_m_resolution :premises (@p64 @p62) :args (@t26 @t34 @t60)) % 0.53/0.80 (step @p66 :rule cnf_equiv_pos1 :args (@t56)) % 0.53/0.80 (step @p67 :rule reordering :premises (@p66) :args ((or @t55 @t54 @t57))) % 0.53/0.80 (step @p68 :rule chain_m_resolution :premises (@p67 @p65 @p11) :args (@t54 @t61 (@list @t26 @t56))) % 0.53/0.80 (step @p69 :rule cnf_and_pos :args (@t54 1)) % 0.53/0.80 (step @p70 :rule reordering :premises (@p69) :args ((or @t53 @t58))) % 0.53/0.80 (step @p71 :rule chain_m_resolution :premises (@p70 @p68) :args (@t53 @t34 @t62)) % 0.53/0.80 (step @p72 :rule cnf_and_pos :args (@t27 1)) % 0.53/0.80 (step @p73 :rule reordering :premises (@p72) :args ((or @t25 @t59))) % 0.53/0.80 (step @p74 :rule chain_m_resolution :premises (@p73 @p62) :args (@t25 @t34 @t60)) % 0.53/0.80 (step @p75 :rule cnf_or_pos :args (@t48)) % 0.53/0.80 (step @p76 :rule reordering :premises (@p75) :args ((or @t24 @t47 @t51))) % 0.53/0.80 (step @p77 :rule chain_m_resolution :premises (@p76 @p74 @p71) :args (@t51 (@list true true) (@list @t24 @t47))) % 0.53/0.80 (step @p78 :rule cnf_and_pos :args (@t54 0)) % 0.53/0.80 (step @p79 :rule reordering :premises (@p78) :args ((or @t41 @t58))) % 0.53/0.80 (step @p80 :rule chain_m_resolution :premises (@p79 @p68) :args (@t41 @t34 @t62)) % 0.53/0.80 (step @p81 :rule cnf_equiv_pos2 :args (@t29)) % 0.53/0.80 (step @p82 :rule reordering :premises (@p81) :args ((or @t28 @t59 @t30))) % 0.53/0.80 (step @p83 :rule chain_m_resolution :premises (@p82 @p62 @p12) :args (@t28 @t61 (@list @t27 @t29))) % 0.53/0.80 (step @p84 :rule cnf_equiv_neg2 :args (@t38)) % 0.53/0.80 (step @p85 :rule chain_m_resolution :premises (@p84 @p31 @p83) :args (@t45 @t36 (@list @t38 @t28))) % 0.53/0.80 (step @p86 :rule cnf_equiv_pos2 :args (@t43)) % 0.53/0.80 (step @p87 :rule reordering :premises (@p86) :args ((or @t37 @t46 @t44))) % 0.36/0.80 (step @p88 :rule chain_m_resolution :premises (@p87 @p85 @p34) :args (@t46 @t36 (@list @t37 @t43))) % 0.36/0.80 (step @p89 :rule bool-double-not-elim :args (@t39)) % 0.36/0.80 (step @p90 :rule refl :args (@t42)) % 0.36/0.80 (step @p91 :rule nary_cong :premises (@p90 @p47 @p89) :args ((or @t42 @t52 (not @t40)))) % 0.36/0.80 (step @p92 :rule cnf_and_neg :args (@t42)) % 0.36/0.80 (step @p93 :rule eq_resolve :premises (@p92 @p91)) % 0.36/0.80 (step @p94 :rule reordering :premises (@p93) :args ((or @t39 @t42 @t52))) % 0.36/0.80 (step @p95 :rule chain_m_resolution :premises (@p94 @p88 @p80) :args (@t39 @t36 (@list @t42 @t41))) % 0.36/0.80 (step @p96 :rule cnf_equiv_pos1 :args (@t49)) % 0.36/0.80 (step @p97 :rule reordering :premises (@p96) :args ((or @t40 @t48 @t50))) % 0.36/0.80 (step @p98 false :rule chain_m_resolution :premises (@p97 @p95 @p77 @p10) :args (false (@list false true false) (@list @t39 @t48 @t49))) % 0.36/0.80 ) % 0.36/0.80 % SZS output end Proof % 0.36/0.80 % cvc5 exiting %------------------------------------------------------------------------------