%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET595+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 : n010.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 08:48:08 AM UTC 2026 % Result : Theorem 0.38s 0.62s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.13 % Problem : SET595+3 : TPTP v9.2.1. Released v2.2.0. % 0.13/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.18/0.35 % Computer : n010.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 16:03:40 EDT 2026 % 0.18/0.35 % CPUTime : % 0.29/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.38/0.62 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.38/0.62 % SZS status Theorem % 0.38/0.62 % SZS output start Proof % 0.38/0.62 ( % 0.38/0.62 (declare-sort $$unsorted 0) % 0.38/0.62 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.38/0.62 (declare-const tptp.difference (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.62 (declare-const tptp.union (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.62 (declare-const tptp.member (-> $$unsorted $$unsorted Bool)) % 0.38/0.62 (define @t1 () (@var "C" $$unsorted)) % 0.38/0.62 (define @t2 () (@var "B" $$unsorted)) % 0.38/0.62 (define @t3 () (= @t2 @t1)) % 0.38/0.62 (define @t4 () (@var "D" $$unsorted)) % 0.38/0.62 (define @t5 () (tptp.member @t4 @t1)) % 0.38/0.62 (define @t6 () (tptp.member @t4 @t2)) % 0.38/0.62 (define @t7 () (@list @t4)) % 0.38/0.62 (define @t8 () (forall @t7 (= @t6 @t5))) % 0.38/0.62 (define @t9 () (@list @t2 @t1)) % 0.38/0.62 (define @t10 () (forall @t9 (=> @t8 @t3))) % 0.38/0.62 (define @t11 () (tptp.union @t2 @t1)) % 0.38/0.62 (define @t12 () (@list @t2 @t1 @t4)) % 0.38/0.62 (define @t13 () (forall @t7 (=> @t6 @t5))) % 0.38/0.62 (define @t14 () (tptp.subset @t2 @t1)) % 0.38/0.62 (define @t15 () (= @t14 @t13)) % 0.38/0.62 (define @t16 () (forall @t9 @t15)) % 0.38/0.62 (define @t17 () (= @t1 (tptp.union @t2 (tptp.difference @t1 @t2)))) % 0.38/0.62 (define @t18 () (forall @t9 (=> @t14 @t17))) % 0.38/0.62 (define @t19 () (not @t18)) % 0.38/0.62 (define @t20 () (forall @t9 (or (not @t14) @t17))) % 0.38/0.62 (define @t21 () (@quantifiers_skolemize @t20 0)) % 0.38/0.62 (define @t22 () (@quantifiers_skolemize @t20 1)) % 0.38/0.62 (define @t23 () (tptp.difference @t22 @t21)) % 0.38/0.62 (define @t24 () (tptp.union @t21 @t23)) % 0.38/0.62 (define @t25 () (= @t22 @t24)) % 0.38/0.62 (define @t26 () (tptp.subset @t21 @t22)) % 0.38/0.62 (define @t27 () (not @t26)) % 0.38/0.62 (define @t28 () (or @t27 @t25)) % 0.38/0.62 (define @t29 () (@list true)) % 0.38/0.62 (define @t30 () (@list @t28)) % 0.38/0.62 (define @t31 () (tptp.member @t4 @t22)) % 0.38/0.62 (define @t32 () (forall @t7 (= @t31 (tptp.member @t4 @t24)))) % 0.38/0.62 (define @t33 () (not @t32)) % 0.38/0.62 (define @t34 () (or @t33 @t25)) % 0.38/0.62 (define @t35 () (forall @t7 (or (not (tptp.member @t4 @t21)) @t31))) % 0.38/0.62 (define @t36 () (= @t26 @t35)) % 0.38/0.62 (define @t37 () (@list false false)) % 0.38/0.62 (define @t38 () (@quantifiers_skolemize @t32 0)) % 0.38/0.62 (define @t39 () (@list @t38)) % 0.38/0.62 (define @t40 () (tptp.member @t38 @t23)) % 0.38/0.62 (define @t41 () (tptp.member @t38 @t21)) % 0.38/0.62 (define @t42 () (or @t41 @t40)) % 0.38/0.62 (define @t43 () (forall @t7 (or (not (tptp.member @t4 @t23)) @t31))) % 0.38/0.62 (define @t44 () (@quantifiers_skolemize @t43 0)) % 0.38/0.62 (define @t45 () (tptp.member @t44 @t23)) % 0.38/0.62 (define @t46 () (tptp.member @t44 @t22)) % 0.38/0.62 (define @t47 () (not @t45)) % 0.38/0.62 (define @t48 () (or @t47 @t46)) % 0.38/0.62 (define @t49 () (and @t46 (not (tptp.member @t44 @t21)))) % 0.38/0.62 (define @t50 () (= @t45 @t49)) % 0.38/0.62 (define @t51 () (not @t48)) % 0.38/0.62 (define @t52 () (not @t43)) % 0.38/0.62 (define @t53 () (@list false)) % 0.38/0.62 (define @t54 () (tptp.member @t38 @t22)) % 0.38/0.62 (define @t55 () (not @t40)) % 0.38/0.62 (define @t56 () (or @t55 @t54)) % 0.38/0.62 (define @t57 () (tptp.member @t38 @t24)) % 0.38/0.62 (define @t58 () (= @t57 @t42)) % 0.38/0.62 (define @t59 () (not @t58)) % 0.38/0.62 (define @t60 () (not @t42)) % 0.38/0.62 (define @t61 () (= @t54 @t57)) % 0.38/0.62 (define @t62 () (not @t41)) % 0.38/0.62 (define @t63 () (and @t54 @t62)) % 0.38/0.62 (define @t64 () (= @t40 @t63)) % 0.38/0.62 (define @t65 () (not @t54)) % 0.38/0.62 (define @t66 () (or @t62 @t54)) % 0.38/0.62 (assume @p1 @t10) % 0.38/0.62 (assume @p2 (forall @t12 (= (tptp.member @t4 @t11) (or @t6 @t5)))) % 0.38/0.62 (assume @p3 (forall @t12 (= (tptp.member @t4 (tptp.difference @t2 @t1)) (and @t6 (not @t5))))) % 0.38/0.62 (assume @p4 @t16) % 0.38/0.62 (assume @p5 (forall @t9 (= @t3 (and @t14 (tptp.subset @t1 @t2))))) % 0.38/0.62 (assume @p6 (forall @t9 (= @t11 (tptp.union @t1 @t2)))) % 0.38/0.62 (assume @p7 (forall @t9 (= @t3 @t8))) % 0.38/0.62 (assume @p8 (forall (@list @t2) (tptp.subset @t2 @t2))) % 0.38/0.62 (assume @p9 @t19) % 0.38/0.62 (assume @p10 true) % 0.38/0.62 (step @p11 :rule bool-impl-elim :args (@t8 @t3)) % 0.38/0.62 (step @p12 :rule cong :premises (@p11) :args (@t10)) % 0.38/0.62 (step @p13 :rule eq_resolve :premises (@p1 @p12)) % 0.38/0.62 (step @p14 :rule instantiate :premises (@p13) :args ((@list @t22 @t24))) % 0.38/0.62 (step @p15 :rule bool-impl-elim :args (@t14 @t17)) % 0.38/0.62 (step @p16 :rule cong :premises (@p15) :args (@t18)) % 0.38/0.62 (step @p17 :rule cong :premises (@p16) :args (@t19)) % 0.38/0.62 (step @p18 :rule eq_resolve :premises (@p9 @p17)) % 0.38/0.62 (step @p19 :rule skolemize :premises (@p18)) % 0.38/0.62 (step @p20 :rule cnf_or_neg :args (@t28 1)) % 0.38/0.62 (step @p21 :rule chain_m_resolution :premises (@p20 @p19) :args ((not @t25) @t29 @t30)) % 0.38/0.62 (step @p22 :rule cnf_or_pos :args (@t34)) % 0.38/0.62 (step @p23 :rule reordering :premises (@p22) :args ((or @t25 @t33 (not @t34)))) % 0.38/0.62 (step @p24 :rule chain_m_resolution :premises (@p23 @p21 @p14) :args (@t33 (@list true false) (@list @t25 @t34))) % 0.38/0.62 (step @p25 :rule skolemize :premises (@p24)) % 0.38/0.62 (step @p26 :rule bool-impl-elim :args (@t6 @t5)) % 0.38/0.62 (step @p27 :rule cong :premises (@p26) :args (@t13)) % 0.38/0.62 (step @p28 :rule refl :args (@t14)) % 0.38/0.62 (step @p29 :rule cong :premises (@p28 @p27) :args (@t15)) % 0.38/0.62 (step @p30 :rule cong :premises (@p29) :args (@t16)) % 0.38/0.62 (step @p31 :rule eq_resolve :premises (@p4 @p30)) % 0.38/0.62 (step @p32 :rule instantiate :premises (@p31) :args ((@list @t21 @t22))) % 0.38/0.62 (step @p33 :rule bool-double-not-elim :args (@t26)) % 0.38/0.62 (step @p34 :rule refl :args (@t28)) % 0.38/0.62 (step @p35 :rule nary_cong :premises (@p34 @p33) :args ((or @t28 (not @t27)))) % 0.38/0.62 (step @p36 :rule cnf_or_neg :args (@t28 0)) % 0.38/0.62 (step @p37 :rule eq_resolve :premises (@p36 @p35)) % 0.38/0.62 (step @p38 :rule reordering :premises (@p37) :args ((or @t26 @t28))) % 0.38/0.62 (step @p39 :rule chain_m_resolution :premises (@p38 @p19) :args (@t26 @t29 @t30)) % 0.38/0.62 (step @p40 :rule cnf_equiv_pos1 :args (@t36)) % 0.38/0.62 (step @p41 :rule reordering :premises (@p40) :args ((or @t27 @t35 (not @t36)))) % 0.38/0.62 (step @p42 :rule chain_m_resolution :premises (@p41 @p39 @p32) :args (@t35 @t37 (@list @t26 @t36))) % 0.38/0.62 (step @p43 :rule instantiate :premises (@p42) :args (@t39)) % 0.38/0.62 (step @p44 :rule cnf_or_neg :args (@t42 1)) % 0.38/0.62 (step @p45 :rule bool-double-not-elim :args (@t45)) % 0.38/0.62 (step @p46 :rule refl :args (@t48)) % 0.38/0.62 (step @p47 :rule nary_cong :premises (@p46 @p45) :args ((or @t48 (not @t47)))) % 0.38/0.62 (step @p48 :rule cnf_or_neg :args (@t48 0)) % 0.38/0.62 (step @p49 :rule eq_resolve :premises (@p48 @p47)) % 0.38/0.62 (step @p50 :rule reordering :premises (@p49) :args ((or @t45 @t48))) % 0.38/0.62 (step @p51 :rule cnf_or_neg :args (@t48 1)) % 0.38/0.62 (step @p52 :rule instantiate :premises (@p3) :args ((@list @t22 @t21 @t44))) % 0.38/0.62 (step @p53 :rule cnf_equiv_pos1 :args (@t50)) % 0.38/0.62 (step @p54 :rule reordering :premises (@p53) :args ((or @t47 @t49 (not @t50)))) % 0.38/0.62 (step @p55 :rule cnf_and_pos :args (@t49 0)) % 0.38/0.62 (step @p56 :rule reordering :premises (@p55) :args ((or @t46 (not @t49)))) % 0.38/0.62 (step @p57 :rule chain_m_resolution :premises (@p56 @p54 @p52 @p51 @p50) :args (@t48 (@list false false true false) (@list @t49 @t50 @t46 @t45))) % 0.38/0.62 (step @p58 :rule refl :args (@t51)) % 0.38/0.62 (step @p59 :rule bool-double-not-elim :args (@t43)) % 0.38/0.62 (step @p60 :rule nary_cong :premises (@p59 @p58) :args ((or (not @t52) @t51))) % 0.38/0.62 (assume-push @p104 @t52) % 0.38/0.62 (step @p62 :rule skolemize :premises (@p104)) % 0.38/0.62 (step-pop @p105 :rule scope :premises (@p62)) % 0.38/0.62 (step @p63 :rule process_scope :premises (@p105) :args (@t51)) % 0.38/0.62 (step @p65 :rule implies_elim :premises (@p63)) % 0.38/0.62 (step @p66 :rule eq_resolve :premises (@p65 @p60)) % 0.38/0.62 (step @p67 :rule chain_m_resolution :premises (@p66 @p57) :args (@t43 @t53 (@list @t48))) % 0.38/0.62 (assume-push @p106 @t43) % 0.38/0.62 (step @p69 :rule instantiate :premises (@p106) :args (@t39)) % 0.38/0.62 (step-pop @p107 :rule scope :premises (@p69)) % 0.38/0.62 (step @p70 :rule process_scope :premises (@p107) :args (@t56)) % 0.38/0.62 (step @p72 :rule implies_elim :premises (@p70)) % 0.38/0.62 (step @p73 :rule chain_m_resolution :premises (@p72 @p67) :args (@t56 @t53 (@list @t43))) % 0.38/0.62 (step @p74 :rule cnf_or_pos :args (@t56)) % 0.38/0.62 (step @p75 :rule reordering :premises (@p74) :args ((or @t54 @t55 (not @t56)))) % 0.38/0.62 (step @p76 :rule instantiate :premises (@p2) :args ((@list @t21 @t23 @t38))) % 0.38/0.62 (step @p77 :rule cnf_equiv_pos2 :args (@t58)) % 0.38/0.62 (step @p78 :rule reordering :premises (@p77) :args ((or @t57 @t60 @t59))) % 0.38/0.62 (step @p79 :rule cnf_equiv_neg2 :args (@t61)) % 0.38/0.62 (step @p80 :rule chain_m_resolution :premises (@p79 @p25 @p78 @p76 @p75 @p73 @p44) :args (@t55 (@list true false false false false false) (@list @t61 @t57 @t58 @t54 @t56 @t42))) % 0.38/0.62 (step @p81 :rule cnf_or_pos :args (@t42)) % 0.38/0.62 (step @p82 :rule reordering :premises (@p81) :args ((or @t41 @t40 @t60))) % 0.38/0.62 (step @p83 :rule instantiate :premises (@p3) :args ((@list @t22 @t21 @t38))) % 0.38/0.62 (step @p84 :rule cnf_equiv_pos2 :args (@t64)) % 0.38/0.62 (step @p85 :rule reordering :premises (@p84) :args ((or @t40 (not @t63) (not @t64)))) % 0.38/0.62 (step @p86 :rule cnf_equiv_pos1 :args (@t58)) % 0.38/0.62 (step @p87 :rule reordering :premises (@p86) :args ((or (not @t57) @t42 @t59))) % 0.38/0.62 (step @p88 :rule bool-double-not-elim :args (@t41)) % 0.38/0.62 (step @p89 :rule refl :args (@t65)) % 0.38/0.62 (step @p90 :rule refl :args (@t63)) % 0.38/0.62 (step @p91 :rule nary_cong :premises (@p90 @p89 @p88) :args ((or @t63 @t65 (not @t62)))) % 0.38/0.62 (step @p92 :rule cnf_and_neg :args (@t63)) % 0.38/0.62 (step @p93 :rule eq_resolve :premises (@p92 @p91)) % 0.38/0.62 (step @p94 :rule reordering :premises (@p93) :args ((or @t65 @t41 @t63))) % 0.38/0.62 (step @p95 :rule cnf_equiv_neg1 :args (@t61)) % 0.38/0.62 (step @p96 :rule reordering :premises (@p95) :args ((or @t54 @t57 @t61))) % 0.38/0.62 (step @p97 :rule chain_m_resolution :premises (@p96 @p25 @p94 @p87 @p76 @p85 @p83 @p82) :args (@t42 (@list true true true false true false true) (@list @t61 @t54 @t57 @t58 @t63 @t64 @t42))) % 0.38/0.62 (step @p98 :rule chain_m_resolution :premises (@p97 @p80) :args (@t41 @t29 (@list @t40))) % 0.38/0.62 (step @p99 :rule cnf_or_pos :args (@t66)) % 0.38/0.62 (step @p100 :rule reordering :premises (@p99) :args ((or @t54 @t62 (not @t66)))) % 0.38/0.62 (step @p101 :rule chain_m_resolution :premises (@p100 @p98 @p43) :args (@t54 @t37 (@list @t41 @t66))) % 0.38/0.62 (step @p102 :rule chain_m_resolution :premises (@p78 @p97 @p76) :args (@t57 @t37 (@list @t42 @t58))) % 0.38/0.62 (step @p103 false :rule chain_m_resolution :premises (@p79 @p102 @p101 @p25) :args (false (@list false false true) (@list @t57 @t54 @t61))) % 0.38/0.62 ) % 0.38/0.62 % SZS output end Proof % 0.38/0.62 % cvc5 exiting %------------------------------------------------------------------------------