%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET044+1 : TPTP v9.2.1. Released v2.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/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 08:47:06 AM UTC 2026 % Result : Theorem 0.32s 0.57s % Output : Proof 0.32s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SET044+1 : TPTP v9.2.1. Released v2.0.0. % 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 : n014.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 14:47:58 EDT 2026 % 0.16/0.35 % CPUTime : % 0.32/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.32/0.57 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.32/0.57 % SZS status Theorem % 0.32/0.57 % SZS output start Proof % 0.32/0.57 ( % 0.32/0.57 (declare-sort $$unsorted 0) % 0.32/0.57 (declare-const tptp.element (-> $$unsorted $$unsorted Bool)) % 0.32/0.57 (define @t1 () (@var "X1" $$unsorted)) % 0.32/0.57 (define @t2 () (@var "Z" $$unsorted)) % 0.32/0.57 (define @t3 () (@var "Y1" $$unsorted)) % 0.32/0.57 (define @t4 () (tptp.element @t2 @t3)) % 0.32/0.57 (define @t5 () (@list @t2)) % 0.32/0.57 (define @t6 () (forall @t5 (= @t4 (not (tptp.element @t2 @t1))))) % 0.32/0.57 (define @t7 () (@list @t3)) % 0.32/0.57 (define @t8 () (exists @t7 @t6)) % 0.32/0.57 (define @t9 () (forall (@list @t1) @t8)) % 0.32/0.57 (define @t10 () (not @t9)) % 0.32/0.57 (define @t11 () (@var "X" $$unsorted)) % 0.32/0.57 (define @t12 () (tptp.element @t11 @t11)) % 0.32/0.57 (define @t13 () (@var "Y" $$unsorted)) % 0.32/0.57 (define @t14 () (@list @t11)) % 0.32/0.57 (define @t15 () (forall @t14 (= (tptp.element @t11 @t13) @t12))) % 0.32/0.57 (define @t16 () (@list @t13)) % 0.32/0.57 (define @t17 () (exists @t16 @t15)) % 0.32/0.57 (define @t18 () (=> @t17 @t10)) % 0.32/0.57 (define @t19 () (not @t18)) % 0.32/0.57 (define @t20 () (forall @t16 (not @t15))) % 0.32/0.57 (define @t21 () (not @t20)) % 0.32/0.57 (define @t22 () (@quantifiers_skolemize @t20 0)) % 0.32/0.57 (define @t23 () (not (tptp.element @t2 @t22))) % 0.32/0.57 (define @t24 () (forall @t7 (not (forall @t5 (= @t4 @t23))))) % 0.32/0.57 (define @t25 () (@quantifiers_skolemize @t24 0)) % 0.32/0.57 (define @t26 () (tptp.element @t2 @t25)) % 0.32/0.57 (define @t27 () (forall @t5 (= @t23 @t26))) % 0.32/0.57 (define @t28 () (not @t24)) % 0.32/0.57 (define @t29 () (forall @t5 (= @t26 @t23))) % 0.32/0.57 (define @t30 () (not (not @t29))) % 0.32/0.57 (define @t31 () (@list true)) % 0.32/0.57 (define @t32 () (tptp.element @t25 @t22)) % 0.32/0.57 (define @t33 () (not @t32)) % 0.32/0.57 (define @t34 () (tptp.element @t25 @t25)) % 0.32/0.57 (define @t35 () (= @t33 @t34)) % 0.32/0.57 (define @t36 () (@list @t25)) % 0.32/0.57 (define @t37 () (= @t34 @t33)) % 0.32/0.57 (define @t38 () (tptp.element @t11 @t22)) % 0.32/0.57 (define @t39 () (forall @t14 (= @t12 @t38))) % 0.32/0.57 (define @t40 () (forall @t14 (= @t38 @t12))) % 0.32/0.57 (define @t41 () (not (not @t40))) % 0.32/0.57 (define @t42 () (= @t34 @t32)) % 0.32/0.57 (define @t43 () (not @t42)) % 0.32/0.57 (define @t44 () (not @t37)) % 0.32/0.57 (define @t45 () (not @t34)) % 0.32/0.57 (assume @p1 @t19) % 0.32/0.57 (assume @p2 true) % 0.32/0.57 (step @p3 :rule exists-elim :args ((= @t8 (not (forall @t7 (not @t6)))))) % 0.32/0.57 (step @p4 :rule cong :premises (@p3) :args (@t9)) % 0.32/0.57 (step @p5 :rule cong :premises (@p4) :args (@t10)) % 0.32/0.57 (step @p6 :rule exists-elim :args ((= @t17 @t21))) % 0.32/0.57 (step @p7 :rule cong :premises (@p6 @p5) :args (@t18)) % 0.32/0.57 (step @p8 :rule cong :premises (@p7) :args (@t19)) % 0.32/0.57 (step @p9 :rule eq_resolve :premises (@p1 @p8)) % 0.32/0.57 (step @p10 :rule not_implies_elim2 :premises (@p9)) % 0.32/0.57 (step @p11 :rule not_not_elim :premises (@p10)) % 0.32/0.57 (step @p12 :rule instantiate :premises (@p11) :args ((@list @t22))) % 0.32/0.57 (step @p13 :rule refl :args (@t27)) % 0.32/0.57 (step @p14 :rule bool-double-not-elim :args (@t24)) % 0.32/0.57 (step @p15 :rule nary_cong :premises (@p14 @p13) :args ((or (not @t28) @t27))) % 0.32/0.57 (step @p16 :rule eq-symm :args (@t26 @t23)) % 0.32/0.57 (step @p17 :rule cong :premises (@p16) :args (@t29)) % 0.32/0.57 (step @p18 :rule bool-double-not-elim :args (@t29)) % 0.32/0.57 (step @p19 :rule trans :premises (@p18 @p17)) % 0.32/0.57 (step @p20 :rule refl :args (@t28)) % 0.32/0.57 (step @p21 :rule cong :premises (@p20 @p19) :args ((=> @t28 @t30))) % 0.32/0.57 (assume-push @p74 @t28) % 0.32/0.57 (step @p23 :rule skolemize :premises (@p12)) % 0.32/0.57 (step-pop @p75 :rule scope :premises (@p23)) % 0.32/0.57 (step @p24 :rule process_scope :premises (@p75) :args (@t30)) % 0.32/0.57 (step @p26 :rule eq_resolve :premises (@p24 @p21)) % 0.32/0.57 (step @p27 :rule implies_elim :premises (@p26)) % 0.32/0.57 (step @p28 :rule eq_resolve :premises (@p27 @p15)) % 0.32/0.57 (step @p29 :rule chain_m_resolution :premises (@p28 @p12) :args (@t27 @t31 (@list @t24))) % 0.32/0.57 (step @p30 :rule eq-symm :args (@t33 @t34)) % 0.32/0.57 (step @p31 :rule cong :premises (@p13 @p30) :args ((=> @t27 @t35))) % 0.32/0.57 (assume-push @p76 @t27) % 0.32/0.57 (step @p33 :rule instantiate :premises (@p29) :args (@t36)) % 0.32/0.57 (step-pop @p77 :rule scope :premises (@p33)) % 0.32/0.57 (step @p34 :rule process_scope :premises (@p77) :args (@t35)) % 0.32/0.57 (step @p36 :rule eq_resolve :premises (@p34 @p31)) % 0.32/0.57 (step @p37 :rule implies_elim :premises (@p36)) % 0.32/0.57 (step @p38 :rule chain_m_resolution :premises (@p37 @p29) :args (@t37 (@list false) (@list @t27))) % 0.32/0.57 (step @p39 :rule not_implies_elim1 :premises (@p9)) % 0.32/0.57 (step @p40 :rule refl :args (@t39)) % 0.32/0.57 (step @p41 :rule bool-double-not-elim :args (@t20)) % 0.32/0.57 (step @p42 :rule nary_cong :premises (@p41 @p40) :args ((or (not @t21) @t39))) % 0.32/0.57 (step @p43 :rule eq-symm :args (@t38 @t12)) % 0.32/0.57 (step @p44 :rule cong :premises (@p43) :args (@t40)) % 0.32/0.57 (step @p45 :rule bool-double-not-elim :args (@t40)) % 0.32/0.57 (step @p46 :rule trans :premises (@p45 @p44)) % 0.32/0.57 (step @p47 :rule refl :args (@t21)) % 0.32/0.57 (step @p48 :rule cong :premises (@p47 @p46) :args ((=> @t21 @t41))) % 0.32/0.57 (assume-push @p78 @t21) % 0.32/0.57 (step @p50 :rule skolemize :premises (@p39)) % 0.32/0.57 (step-pop @p79 :rule scope :premises (@p50)) % 0.32/0.57 (step @p51 :rule process_scope :premises (@p79) :args (@t41)) % 0.32/0.57 (step @p53 :rule eq_resolve :premises (@p51 @p48)) % 0.32/0.57 (step @p54 :rule implies_elim :premises (@p53)) % 0.32/0.57 (step @p55 :rule eq_resolve :premises (@p54 @p42)) % 0.32/0.57 (step @p56 :rule chain_m_resolution :premises (@p55 @p39) :args (@t39 @t31 (@list @t20))) % 0.32/0.57 (step @p57 :rule instantiate :premises (@p56) :args (@t36)) % 0.32/0.57 (step @p58 :rule cnf_equiv_pos2 :args (@t42)) % 0.32/0.57 (step @p59 :rule reordering :premises (@p58) :args ((or @t34 @t33 @t43))) % 0.32/0.57 (step @p60 :rule bool-double-not-elim :args (@t32)) % 0.32/0.57 (step @p61 :rule refl :args (@t34)) % 0.32/0.57 (step @p62 :rule refl :args (@t44)) % 0.32/0.57 (step @p63 :rule nary_cong :premises (@p62 @p61 @p60) :args ((or @t44 @t34 (not @t33)))) % 0.32/0.57 (step @p64 :rule cnf_equiv_pos2 :args (@t37)) % 0.32/0.57 (step @p65 :rule eq_resolve :premises (@p64 @p63)) % 0.32/0.57 (step @p66 :rule reordering :premises (@p65) :args ((or @t34 @t32 @t44))) % 0.32/0.57 (step @p67 :rule chain_m_resolution :premises (@p66 @p38 @p59 @p57) :args (@t34 (@list false true false) (@list @t37 @t32 @t42))) % 0.32/0.57 (step @p68 :rule cnf_equiv_pos1 :args (@t42)) % 0.32/0.57 (step @p69 :rule reordering :premises (@p68) :args ((or @t32 @t45 @t43))) % 0.32/0.57 (step @p70 :rule chain_m_resolution :premises (@p69 @p67 @p57) :args (@t32 (@list false false) (@list @t34 @t42))) % 0.32/0.57 (step @p71 :rule cnf_equiv_pos1 :args (@t37)) % 0.32/0.57 (step @p72 :rule reordering :premises (@p71) :args ((or @t45 @t33 @t44))) % 0.32/0.57 (step @p73 false :rule chain_m_resolution :premises (@p72 @p70 @p67 @p38) :args (false (@list false false false) (@list @t32 @t34 @t37))) % 0.32/0.57 ) % 0.32/0.57 % SZS output end Proof % 0.32/0.57 % cvc5 exiting %------------------------------------------------------------------------------