%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET876+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 : n009.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 08:48:54 AM UTC 2026 % Result : Theorem 15.42s 15.66s % Output : Proof 15.42s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SET876+1 : TPTP v9.2.1. Released v3.2.0. % 0.11/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n009.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 16:16:29 EDT 2026 % 0.16/0.34 % CPUTime : % 0.27/0.49 %----Proving TF0_NAR, FOF, or CNF % 15.42/15.66 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 15.42/15.66 --- Run --no-e-matching --full-saturate-quant at 6... % 15.42/15.66 % SZS status Theorem % 15.42/15.66 % SZS output start Proof % 15.42/15.66 ( % 15.42/15.66 (declare-sort $$unsorted 0) % 15.42/15.66 (declare-const tptp.empty (-> $$unsorted Bool)) % 15.42/15.66 (declare-const tptp.disjoint (-> $$unsorted $$unsorted Bool)) % 15.42/15.66 (declare-const tptp.singleton (-> $$unsorted $$unsorted)) % 15.42/15.66 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 15.42/15.66 (define @t1 () (@var "A" $$unsorted)) % 15.42/15.66 (define @t2 () (@var "B" $$unsorted)) % 15.42/15.66 (define @t3 () (tptp.in @t1 @t2)) % 15.42/15.66 (define @t4 () (@list @t1 @t2)) % 15.42/15.66 (define @t5 () (@var "C" $$unsorted)) % 15.42/15.66 (define @t6 () (tptp.in @t5 @t2)) % 15.42/15.66 (define @t7 () (= @t6 (= @t5 @t1))) % 15.42/15.66 (define @t8 () (@list @t5)) % 15.42/15.66 (define @t9 () (forall @t8 @t7)) % 15.42/15.66 (define @t10 () (tptp.singleton @t1)) % 15.42/15.66 (define @t11 () (= @t2 @t10)) % 15.42/15.66 (define @t12 () (= @t11 @t9)) % 15.42/15.66 (define @t13 () (forall @t4 @t12)) % 15.42/15.66 (define @t14 () (tptp.disjoint @t10 @t2)) % 15.42/15.66 (define @t15 () (not @t3)) % 15.42/15.66 (define @t16 () (forall @t4 (=> @t15 @t14))) % 15.42/15.66 (define @t17 () (tptp.empty @t1)) % 15.42/15.66 (define @t18 () (@list @t1)) % 15.42/15.66 (define @t19 () (tptp.disjoint @t2 @t1)) % 15.42/15.66 (define @t20 () (tptp.disjoint @t1 @t2)) % 15.42/15.66 (define @t21 () (forall @t4 (=> @t20 @t19))) % 15.42/15.66 (define @t22 () (tptp.disjoint @t10 (tptp.singleton @t2))) % 15.42/15.66 (define @t23 () (= @t1 @t2)) % 15.42/15.66 (define @t24 () (not @t23)) % 15.42/15.66 (define @t25 () (forall @t4 (=> @t24 @t22))) % 15.42/15.66 (define @t26 () (not @t25)) % 15.42/15.66 (define @t27 () (forall @t4 (or @t23 @t22))) % 15.42/15.66 (define @t28 () (@quantifiers_skolemize @t27 0)) % 15.42/15.66 (define @t29 () (tptp.singleton @t28)) % 15.42/15.66 (define @t30 () (@quantifiers_skolemize @t27 1)) % 15.42/15.66 (define @t31 () (tptp.in @t5 @t29)) % 15.42/15.66 (define @t32 () (forall @t8 (= (= @t5 @t28) @t31))) % 15.42/15.66 (define @t33 () (= @t28 @t5)) % 15.42/15.66 (define @t34 () (forall @t8 (= @t31 @t33))) % 15.42/15.66 (define @t35 () (= (= @t29 @t29) @t34)) % 15.42/15.66 (define @t36 () (forall @t4 (= @t11 (forall @t8 (= @t6 (= @t1 @t5)))))) % 15.42/15.66 (define @t37 () (@list false)) % 15.42/15.66 (define @t38 () (tptp.in @t30 @t29)) % 15.42/15.66 (define @t39 () (= (= @t30 @t28) @t38)) % 15.42/15.66 (define @t40 () (= @t28 @t30)) % 15.42/15.66 (define @t41 () (= @t40 @t38)) % 15.42/15.66 (define @t42 () (tptp.singleton @t30)) % 15.42/15.66 (define @t43 () (tptp.disjoint @t29 @t42)) % 15.42/15.66 (define @t44 () (or @t40 @t43)) % 15.42/15.66 (define @t45 () (@list true)) % 15.42/15.66 (define @t46 () (@list @t44)) % 15.42/15.66 (define @t47 () (not @t38)) % 15.42/15.66 (define @t48 () (@list true false)) % 15.42/15.66 (define @t49 () (tptp.disjoint @t42 @t29)) % 15.42/15.66 (define @t50 () (or @t38 @t49)) % 15.42/15.66 (define @t51 () (not @t49)) % 15.42/15.66 (define @t52 () (or @t51 @t43)) % 15.42/15.66 (define @t53 () (not @t52)) % 15.42/15.66 (define @t54 () (forall @t4 (or (not @t20) @t19))) % 15.42/15.66 (assume @p1 (forall @t4 (=> @t3 (not (tptp.in @t2 @t1))))) % 15.42/15.66 (assume @p2 @t13) % 15.42/15.66 (assume @p3 @t16) % 15.42/15.66 (assume @p4 (exists @t18 @t17)) % 15.42/15.66 (assume @p5 (exists @t18 (not @t17))) % 15.42/15.66 (assume @p6 @t21) % 15.42/15.66 (assume @p7 @t26) % 15.42/15.66 (assume @p8 true) % 15.42/15.66 (step @p9 :rule bool-impl-elim :args (@t20 @t19)) % 15.42/15.66 (step @p10 :rule cong :premises (@p9) :args (@t21)) % 15.42/15.66 (step @p11 :rule eq_resolve :premises (@p6 @p10)) % 15.42/15.66 (step @p12 :rule refl :args (@t14)) % 15.42/15.66 (step @p13 :rule bool-double-not-elim :args (@t3)) % 15.42/15.66 (step @p14 :rule nary_cong :premises (@p13 @p12) :args ((or (not @t15) @t14))) % 15.42/15.66 (step @p15 :rule bool-impl-elim :args (@t15 @t14)) % 15.42/15.66 (step @p16 :rule trans :premises (@p15 @p14)) % 15.42/15.66 (step @p17 :rule cong :premises (@p16) :args (@t16)) % 15.42/15.66 (step @p18 :rule eq_resolve :premises (@p3 @p17)) % 15.42/15.66 (step @p19 :rule instantiate :premises (@p18) :args ((@list @t30 @t29))) % 15.42/15.66 (step @p20 :rule eq-symm :args (@t5 @t1)) % 15.42/15.66 (step @p21 :rule refl :args (@t6)) % 15.42/15.66 (step @p22 :rule cong :premises (@p21 @p20) :args (@t7)) % 15.42/15.66 (step @p23 :rule cong :premises (@p22) :args (@t9)) % 15.42/15.66 (step @p24 :rule refl :args (@t11)) % 15.42/15.66 (step @p25 :rule cong :premises (@p24 @p23) :args (@t12)) % 15.42/15.66 (step @p26 :rule cong :premises (@p25) :args (@t13)) % 15.42/15.66 (step @p27 :rule eq_resolve :premises (@p2 @p26)) % 15.42/15.66 (step @p28 :rule bool-eq-true :args (@t32)) % 15.42/15.66 (step @p29 :rule eq-symm :args (true @t32)) % 15.42/15.66 (step @p30 :rule trans :premises (@p29 @p28)) % 15.42/15.66 (step @p31 :rule refl :args (@t31)) % 15.42/15.66 (step @p32 :rule eq-symm :args (@t28 @t5)) % 15.42/15.66 (step @p33 :rule cong :premises (@p32 @p31) :args ((= @t33 @t31))) % 15.42/15.66 (step @p34 :rule eq-symm :args (@t31 @t33)) % 15.42/15.66 (step @p35 :rule trans :premises (@p34 @p33)) % 15.42/15.66 (step @p36 :rule cong :premises (@p35) :args (@t34)) % 15.42/15.67 (step @p37 :rule eq-refl :args (@t29)) % 15.42/15.67 (step @p38 :rule cong :premises (@p37 @p36) :args (@t35)) % 15.42/15.67 (step @p39 :rule trans :premises (@p38 @p30)) % 15.42/15.67 (step @p40 :rule refl :args (@t36)) % 15.42/15.67 (step @p41 :rule cong :premises (@p40 @p39) :args ((=> @t36 @t35))) % 15.42/15.67 (assume-push @p89 @t36) % 15.42/15.67 (step @p43 :rule instantiate :premises (@p27) :args ((@list @t28 @t29))) % 15.42/15.67 (step-pop @p90 :rule scope :premises (@p43)) % 15.42/15.67 (step @p44 :rule process_scope :premises (@p90) :args (@t35)) % 15.42/15.67 (step @p46 :rule eq_resolve :premises (@p44 @p41)) % 15.42/15.67 (step @p47 :rule implies_elim :premises (@p46)) % 15.42/15.67 (step @p48 :rule chain_m_resolution :premises (@p47 @p27) :args (@t32 @t37 (@list @t36))) % 15.42/15.67 (step @p49 :rule refl :args (@t38)) % 15.42/15.67 (step @p50 :rule eq-symm :args (@t30 @t28)) % 15.42/15.67 (step @p51 :rule cong :premises (@p50 @p49) :args (@t39)) % 15.42/15.67 (step @p52 :rule refl :args (@t32)) % 15.42/15.67 (step @p53 :rule cong :premises (@p52 @p51) :args ((=> @t32 @t39))) % 15.42/15.67 (assume-push @p91 @t32) % 15.42/15.67 (step @p55 :rule instantiate :premises (@p48) :args ((@list @t30))) % 15.42/15.67 (step-pop @p92 :rule scope :premises (@p55)) % 15.42/15.67 (step @p56 :rule process_scope :premises (@p92) :args (@t39)) % 15.42/15.67 (step @p58 :rule eq_resolve :premises (@p56 @p53)) % 15.42/15.67 (step @p59 :rule implies_elim :premises (@p58)) % 15.42/15.67 (step @p60 :rule chain_m_resolution :premises (@p59 @p48) :args (@t41 @t37 (@list @t32))) % 15.42/15.67 (step @p61 :rule refl :args (@t22)) % 15.42/15.67 (step @p62 :rule bool-double-not-elim :args (@t23)) % 15.42/15.67 (step @p63 :rule nary_cong :premises (@p62 @p61) :args ((or (not @t24) @t22))) % 15.42/15.67 (step @p64 :rule bool-impl-elim :args (@t24 @t22)) % 15.42/15.67 (step @p65 :rule trans :premises (@p64 @p63)) % 15.42/15.67 (step @p66 :rule cong :premises (@p65) :args (@t25)) % 15.42/15.67 (step @p67 :rule cong :premises (@p66) :args (@t26)) % 15.42/15.67 (step @p68 :rule eq_resolve :premises (@p7 @p67)) % 15.42/15.67 (step @p69 :rule skolemize :premises (@p68)) % 15.42/15.67 (step @p70 :rule cnf_or_neg :args (@t44 0)) % 15.42/15.67 (step @p71 :rule chain_m_resolution :premises (@p70 @p69) :args ((not @t40) @t45 @t46)) % 15.42/15.67 (step @p72 :rule cnf_equiv_pos2 :args (@t41)) % 15.42/15.67 (step @p73 :rule reordering :premises (@p72) :args ((or @t40 @t47 (not @t41)))) % 15.42/15.67 (step @p74 :rule chain_m_resolution :premises (@p73 @p71 @p60) :args (@t47 @t48 (@list @t40 @t41))) % 15.42/15.67 (step @p75 :rule cnf_or_pos :args (@t50)) % 15.42/15.67 (step @p76 :rule reordering :premises (@p75) :args ((or @t38 @t49 (not @t50)))) % 15.42/15.67 (step @p77 :rule chain_m_resolution :premises (@p76 @p74 @p19) :args (@t49 @t48 (@list @t38 @t50))) % 15.42/15.67 (step @p78 :rule cnf_or_neg :args (@t44 1)) % 15.42/15.67 (step @p79 :rule chain_m_resolution :premises (@p78 @p69) :args ((not @t43) @t45 @t46)) % 15.42/15.67 (step @p80 :rule cnf_or_pos :args (@t52)) % 15.42/15.67 (step @p81 :rule reordering :premises (@p80) :args ((or @t43 @t51 @t53))) % 15.42/15.67 (step @p82 :rule chain_m_resolution :premises (@p81 @p79 @p77) :args (@t53 @t48 (@list @t43 @t49))) % 15.42/15.67 (assume-push @p93 @t54) % 15.42/15.67 (step @p84 :rule instantiate :premises (@p11) :args ((@list @t42 @t29))) % 15.42/15.67 (step-pop @p94 :rule scope :premises (@p84)) % 15.42/15.67 (step @p85 :rule process_scope :premises (@p94) :args (@t52)) % 15.42/15.67 (step @p87 :rule implies_elim :premises (@p85)) % 15.42/15.67 (step @p88 false :rule chain_m_resolution :premises (@p87 @p82 @p11) :args (false @t48 (@list @t52 @t54))) % 15.42/15.67 ) % 15.42/15.67 % SZS output end Proof % 15.42/15.67 % cvc5 exiting %------------------------------------------------------------------------------