%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET045+1 : TPTP v9.2.1. Released v2.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n014.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 08:47:07 AM UTC 2026 % Result : Theorem 0.38s 0.57s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SET045+1 : TPTP v9.2.1. Released v2.0.0. % 0.12/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n014.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 14:47:43 EDT 2026 % 0.17/0.35 % CPUTime : % 0.28/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.38/0.57 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.38/0.57 % SZS status Theorem % 0.38/0.57 % SZS output start Proof % 0.38/0.57 ( % 0.38/0.57 (declare-sort $$unsorted 0) % 0.38/0.57 (declare-const tptp.element (-> $$unsorted $$unsorted Bool)) % 0.38/0.57 (define @t1 () (@var "X" $$unsorted)) % 0.38/0.57 (define @t2 () (not (tptp.element @t1 @t1))) % 0.38/0.57 (define @t3 () (@var "Z" $$unsorted)) % 0.38/0.57 (define @t4 () (tptp.element @t1 @t3)) % 0.38/0.57 (define @t5 () (@var "Y" $$unsorted)) % 0.38/0.57 (define @t6 () (tptp.element @t1 @t5)) % 0.38/0.57 (define @t7 () (@list @t1)) % 0.38/0.57 (define @t8 () (forall @t7 (= @t6 (and @t4 @t2)))) % 0.38/0.57 (define @t9 () (@list @t5)) % 0.38/0.57 (define @t10 () (exists @t9 @t8)) % 0.38/0.57 (define @t11 () (@list @t3)) % 0.38/0.57 (define @t12 () (forall @t11 @t10)) % 0.38/0.57 (define @t13 () (forall @t7 @t4)) % 0.38/0.57 (define @t14 () (exists @t11 @t13)) % 0.38/0.57 (define @t15 () (forall @t11 (not @t13))) % 0.38/0.57 (define @t16 () (@quantifiers_skolemize @t15 0)) % 0.38/0.57 (define @t17 () (tptp.element @t1 @t16)) % 0.38/0.57 (define @t18 () (and @t17 @t2)) % 0.38/0.57 (define @t19 () (forall @t9 (not (forall @t7 (= @t6 @t18))))) % 0.38/0.57 (define @t20 () (@quantifiers_skolemize @t19 0)) % 0.38/0.57 (define @t21 () (tptp.element @t1 @t20)) % 0.38/0.57 (define @t22 () (forall @t7 (= @t18 @t21))) % 0.38/0.57 (define @t23 () (not @t19)) % 0.38/0.57 (define @t24 () (forall @t7 (= @t21 @t18))) % 0.38/0.57 (define @t25 () (not (not @t24))) % 0.38/0.57 (define @t26 () (@list true)) % 0.38/0.57 (define @t27 () (tptp.element @t20 @t20)) % 0.38/0.57 (define @t28 () (not @t27)) % 0.38/0.57 (define @t29 () (tptp.element @t20 @t16)) % 0.38/0.57 (define @t30 () (and @t29 @t28)) % 0.38/0.57 (define @t31 () (= @t30 @t27)) % 0.38/0.57 (define @t32 () (@list @t20)) % 0.38/0.57 (define @t33 () (= @t27 @t30)) % 0.38/0.57 (define @t34 () (@list false)) % 0.38/0.57 (define @t35 () (not @t33)) % 0.38/0.57 (define @t36 () (not @t15)) % 0.38/0.57 (define @t37 () (forall @t7 @t17)) % 0.38/0.57 (define @t38 () (not (not @t37))) % 0.38/0.57 (define @t39 () (not @t29)) % 0.38/0.57 (define @t40 () (not @t30)) % 0.38/0.57 (assume @p1 @t12) % 0.38/0.57 (assume @p2 (not (not @t14))) % 0.38/0.57 (assume @p3 true) % 0.38/0.57 (step @p4 :rule exists-elim :args ((= @t10 (not (forall @t9 (not @t8)))))) % 0.38/0.57 (step @p5 :rule cong :premises (@p4) :args (@t12)) % 0.38/0.57 (step @p6 :rule eq_resolve :premises (@p1 @p5)) % 0.38/0.57 (step @p7 :rule instantiate :premises (@p6) :args ((@list @t16))) % 0.38/0.57 (step @p8 :rule refl :args (@t22)) % 0.38/0.57 (step @p9 :rule bool-double-not-elim :args (@t19)) % 0.38/0.57 (step @p10 :rule nary_cong :premises (@p9 @p8) :args ((or (not @t23) @t22))) % 0.38/0.57 (step @p11 :rule eq-symm :args (@t21 @t18)) % 0.38/0.57 (step @p12 :rule cong :premises (@p11) :args (@t24)) % 0.38/0.57 (step @p13 :rule bool-double-not-elim :args (@t24)) % 0.38/0.57 (step @p14 :rule trans :premises (@p13 @p12)) % 0.38/0.57 (step @p15 :rule refl :args (@t23)) % 0.38/0.57 (step @p16 :rule cong :premises (@p15 @p14) :args ((=> @t23 @t25))) % 0.38/0.57 (assume-push @p69 @t23) % 0.38/0.57 (step @p18 :rule skolemize :premises (@p7)) % 0.38/0.57 (step-pop @p70 :rule scope :premises (@p18)) % 0.38/0.57 (step @p19 :rule process_scope :premises (@p70) :args (@t25)) % 0.38/0.57 (step @p21 :rule eq_resolve :premises (@p19 @p16)) % 0.38/0.57 (step @p22 :rule implies_elim :premises (@p21)) % 0.38/0.57 (step @p23 :rule eq_resolve :premises (@p22 @p10)) % 0.38/0.57 (step @p24 :rule chain_m_resolution :premises (@p23 @p7) :args (@t22 @t26 (@list @t19))) % 0.38/0.57 (step @p25 :rule eq-symm :args (@t30 @t27)) % 0.38/0.57 (step @p26 :rule cong :premises (@p8 @p25) :args ((=> @t22 @t31))) % 0.38/0.57 (assume-push @p71 @t22) % 0.38/0.57 (step @p28 :rule instantiate :premises (@p24) :args (@t32)) % 0.38/0.57 (step-pop @p72 :rule scope :premises (@p28)) % 0.38/0.57 (step @p29 :rule process_scope :premises (@p72) :args (@t31)) % 0.38/0.57 (step @p31 :rule eq_resolve :premises (@p29 @p26)) % 0.38/0.57 (step @p32 :rule implies_elim :premises (@p31)) % 0.38/0.57 (step @p33 :rule chain_m_resolution :premises (@p32 @p24) :args (@t33 @t34 (@list @t22))) % 0.38/0.57 (step @p34 :rule cnf_equiv_pos1 :args (@t33)) % 0.38/0.57 (step @p35 :rule reordering :premises (@p34) :args ((or @t28 @t30 @t35))) % 0.38/0.57 (step @p36 :rule exists-elim :args ((= @t14 @t36))) % 0.38/0.57 (step @p37 :rule bool-double-not-elim :args (@t14)) % 0.38/0.57 (step @p38 :rule trans :premises (@p37 @p36)) % 0.38/0.57 (step @p39 :rule eq_resolve :premises (@p2 @p38)) % 0.38/0.57 (step @p40 :rule refl :args (@t37)) % 0.38/0.57 (step @p41 :rule bool-double-not-elim :args (@t15)) % 0.38/0.57 (step @p42 :rule nary_cong :premises (@p41 @p40) :args ((or (not @t36) @t37))) % 0.38/0.57 (step @p43 :rule bool-double-not-elim :args (@t37)) % 0.38/0.57 (step @p44 :rule refl :args (@t36)) % 0.38/0.57 (step @p45 :rule cong :premises (@p44 @p43) :args ((=> @t36 @t38))) % 0.38/0.57 (assume-push @p73 @t36) % 0.38/0.57 (step @p47 :rule skolemize :premises (@p39)) % 0.38/0.57 (step-pop @p74 :rule scope :premises (@p47)) % 0.38/0.58 (step @p48 :rule process_scope :premises (@p74) :args (@t38)) % 0.38/0.58 (step @p50 :rule eq_resolve :premises (@p48 @p45)) % 0.38/0.58 (step @p51 :rule implies_elim :premises (@p50)) % 0.38/0.58 (step @p52 :rule eq_resolve :premises (@p51 @p42)) % 0.38/0.58 (step @p53 :rule chain_m_resolution :premises (@p52 @p39) :args (@t37 @t26 (@list @t15))) % 0.38/0.58 (step @p54 :rule instantiate :premises (@p53) :args (@t32)) % 0.38/0.58 (step @p55 :rule bool-double-not-elim :args (@t27)) % 0.38/0.58 (step @p56 :rule refl :args (@t39)) % 0.38/0.58 (step @p57 :rule refl :args (@t30)) % 0.38/0.58 (step @p58 :rule nary_cong :premises (@p57 @p56 @p55) :args ((or @t30 @t39 (not @t28)))) % 0.38/0.58 (step @p59 :rule cnf_and_neg :args (@t30)) % 0.38/0.58 (step @p60 :rule eq_resolve :premises (@p59 @p58)) % 0.38/0.58 (step @p61 :rule reordering :premises (@p60) :args ((or @t27 @t30 @t39))) % 0.38/0.58 (step @p62 :rule chain_m_resolution :premises (@p61 @p54 @p35 @p33) :args (@t30 (@list false true false) (@list @t29 @t27 @t33))) % 0.38/0.58 (step @p63 :rule cnf_and_pos :args (@t30 1)) % 0.38/0.58 (step @p64 :rule reordering :premises (@p63) :args ((or @t28 @t40))) % 0.38/0.58 (step @p65 :rule chain_m_resolution :premises (@p64 @p62) :args (@t28 @t34 (@list @t30))) % 0.38/0.58 (step @p66 :rule cnf_equiv_pos2 :args (@t33)) % 0.38/0.58 (step @p67 :rule reordering :premises (@p66) :args ((or @t27 @t40 @t35))) % 0.38/0.58 (step @p68 false :rule chain_m_resolution :premises (@p67 @p65 @p62 @p33) :args (false (@list true false false) (@list @t27 @t30 @t33))) % 0.38/0.58 ) % 0.38/0.58 % SZS output end Proof % 0.38/0.58 % cvc5 exiting %------------------------------------------------------------------------------