%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYN724+1 : TPTP v9.2.1. Released v2.5.0. % 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 09:09:43 AM UTC 2026 % Result : Theorem 0.33s 0.56s % Output : Proof 0.33s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.13 % Problem : SYN724+1 : TPTP v9.2.1. Released v2.5.0. % 0.12/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/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 23:34:28 EDT 2026 % 0.17/0.35 % CPUTime : % 0.33/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.33/0.56 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.33/0.56 % SZS status Theorem % 0.33/0.56 % SZS output start Proof % 0.33/0.56 ( % 0.33/0.56 (declare-sort $$unsorted 0) % 0.33/0.56 (declare-const tptp.s (-> $$unsorted Bool)) % 0.33/0.56 (declare-const tptp.r (-> $$unsorted Bool)) % 0.33/0.56 (define @t1 () (@var "X" $$unsorted)) % 0.33/0.56 (define @t2 () (tptp.r @t1)) % 0.33/0.56 (define @t3 () (tptp.s @t1)) % 0.33/0.56 (define @t4 () (and @t2 @t3)) % 0.33/0.56 (define @t5 () (@list @t1)) % 0.33/0.56 (define @t6 () (forall @t5 (= @t4 @t2))) % 0.33/0.56 (define @t7 () (forall @t5 (=> @t2 @t3))) % 0.33/0.56 (define @t8 () (= @t7 @t6)) % 0.33/0.56 (define @t9 () (not @t8)) % 0.33/0.56 (define @t10 () (forall @t5 (or (not @t2) @t3))) % 0.33/0.56 (define @t11 () (@quantifiers_skolemize @t10 0)) % 0.33/0.56 (define @t12 () (tptp.s @t11)) % 0.33/0.56 (define @t13 () (tptp.r @t11)) % 0.33/0.56 (define @t14 () (not @t13)) % 0.33/0.56 (define @t15 () (or @t14 @t12)) % 0.33/0.56 (define @t16 () (not @t15)) % 0.33/0.56 (define @t17 () (not @t10)) % 0.33/0.56 (define @t18 () (and @t13 @t12)) % 0.33/0.56 (define @t19 () (forall @t5 (= @t2 @t4))) % 0.33/0.56 (define @t20 () (= @t13 @t18)) % 0.33/0.56 (define @t21 () (not @t19)) % 0.33/0.56 (define @t22 () (@list false)) % 0.33/0.56 (define @t23 () (@list @t10)) % 0.33/0.56 (define @t24 () (@quantifiers_skolemize @t19 0)) % 0.33/0.56 (define @t25 () (tptp.s @t24)) % 0.33/0.56 (define @t26 () (tptp.r @t24)) % 0.33/0.56 (define @t27 () (and @t26 @t25)) % 0.33/0.56 (define @t28 () (= @t26 @t27)) % 0.33/0.56 (define @t29 () (not @t28)) % 0.33/0.56 (define @t30 () (not @t27)) % 0.33/0.56 (define @t31 () (not @t26)) % 0.33/0.56 (define @t32 () (or @t31 @t25)) % 0.33/0.56 (define @t33 () (@list false false true)) % 0.33/0.56 (assume @p1 @t9) % 0.33/0.56 (assume @p2 true) % 0.33/0.56 (step @p3 :rule eq-symm :args (@t4 @t2)) % 0.33/0.56 (step @p4 :rule cong :premises (@p3) :args (@t6)) % 0.33/0.56 (step @p5 :rule bool-impl-elim :args (@t2 @t3)) % 0.33/0.56 (step @p6 :rule cong :premises (@p5) :args (@t7)) % 0.33/0.56 (step @p7 :rule cong :premises (@p6 @p4) :args (@t8)) % 0.33/0.56 (step @p8 :rule cong :premises (@p7) :args (@t9)) % 0.33/0.56 (step @p9 :rule eq_resolve :premises (@p1 @p8)) % 0.33/0.56 (step @p10 :rule not_equiv_elim1 :premises (@p9)) % 0.33/0.56 (step @p11 :rule refl :args (@t16)) % 0.33/0.56 (step @p12 :rule bool-double-not-elim :args (@t10)) % 0.33/0.56 (step @p13 :rule nary_cong :premises (@p12 @p11) :args ((or (not @t17) @t16))) % 0.33/0.56 (assume-push @p69 @t17) % 0.33/0.56 (step @p15 :rule skolemize :premises (@p69)) % 0.33/0.56 (step-pop @p70 :rule scope :premises (@p15)) % 0.33/0.56 (step @p16 :rule process_scope :premises (@p70) :args (@t16)) % 0.33/0.56 (step @p18 :rule implies_elim :premises (@p16)) % 0.33/0.56 (step @p19 :rule eq_resolve :premises (@p18 @p13)) % 0.33/0.56 (step @p20 :rule bool-double-not-elim :args (@t13)) % 0.33/0.56 (step @p21 :rule refl :args (@t15)) % 0.33/0.56 (step @p22 :rule nary_cong :premises (@p21 @p20) :args ((or @t15 (not @t14)))) % 0.33/0.56 (step @p23 :rule cnf_or_neg :args (@t15 0)) % 0.33/0.56 (step @p24 :rule eq_resolve :premises (@p23 @p22)) % 0.33/0.56 (step @p25 :rule reordering :premises (@p24) :args ((or @t13 @t15))) % 0.33/0.56 (step @p26 :rule cnf_or_neg :args (@t15 1)) % 0.33/0.56 (step @p27 :rule cnf_and_pos :args (@t18 1)) % 0.33/0.56 (step @p28 :rule reordering :premises (@p27) :args ((or @t12 (not @t18)))) % 0.33/0.56 (assume-push @p71 @t19) % 0.33/0.56 (step @p30 :rule instantiate :premises (@p71) :args ((@list @t11))) % 0.33/0.56 (step-pop @p72 :rule scope :premises (@p30)) % 0.33/0.56 (step @p31 :rule process_scope :premises (@p72) :args (@t20)) % 0.33/0.56 (step @p33 :rule implies_elim :premises (@p31)) % 0.33/0.56 (step @p34 :rule cnf_equiv_pos1 :args (@t20)) % 0.33/0.56 (step @p35 :rule reordering :premises (@p34) :args ((or @t14 @t18 (not @t20)))) % 0.33/0.56 (step @p36 :rule chain_m_resolution :premises (@p35 @p33 @p28 @p26 @p25 @p19 @p10) :args (@t10 (@list false true true false true false) (@list @t20 @t18 @t12 @t13 @t15 @t19))) % 0.33/0.56 (step @p37 :rule not_equiv_elim2 :premises (@p9)) % 0.33/0.56 (step @p38 :rule chain_m_resolution :premises (@p37 @p36) :args (@t21 @t22 @t23)) % 0.33/0.56 (step @p39 :rule refl :args (@t29)) % 0.33/0.56 (step @p40 :rule bool-double-not-elim :args (@t19)) % 0.33/0.56 (step @p41 :rule nary_cong :premises (@p40 @p39) :args ((or (not @t21) @t29))) % 0.33/0.56 (assume-push @p73 @t21) % 0.33/0.56 (step @p43 :rule skolemize :premises (@p73)) % 0.33/0.56 (step-pop @p74 :rule scope :premises (@p43)) % 0.33/0.56 (step @p44 :rule process_scope :premises (@p74) :args (@t29)) % 0.33/0.56 (step @p46 :rule implies_elim :premises (@p44)) % 0.33/0.56 (step @p47 :rule eq_resolve :premises (@p46 @p41)) % 0.33/0.56 (step @p48 :rule chain_m_resolution :premises (@p47 @p38) :args (@t29 (@list true) (@list @t19))) % 0.33/0.56 (step @p49 :rule cnf_equiv_neg1 :args (@t28)) % 0.33/0.56 (step @p50 :rule reordering :premises (@p49) :args ((or @t26 @t27 @t28))) % 0.33/0.56 (step @p51 :rule cnf_and_pos :args (@t27 1)) % 0.33/0.57 (step @p52 :rule reordering :premises (@p51) :args ((or @t25 @t30))) % 0.33/0.57 (assume-push @p75 @t10) % 0.33/0.57 (step @p54 :rule instantiate :premises (@p75) :args ((@list @t24))) % 0.33/0.57 (step-pop @p76 :rule scope :premises (@p54)) % 0.33/0.57 (step @p55 :rule process_scope :premises (@p76) :args (@t32)) % 0.33/0.57 (step @p57 :rule implies_elim :premises (@p55)) % 0.33/0.57 (step @p58 :rule chain_m_resolution :premises (@p57 @p36) :args (@t32 @t22 @t23)) % 0.33/0.57 (step @p59 :rule cnf_or_pos :args (@t32)) % 0.33/0.57 (step @p60 :rule reordering :premises (@p59) :args ((or @t25 @t31 (not @t32)))) % 0.33/0.57 (step @p61 :rule chain_m_resolution :premises (@p50 @p48 @p60 @p58 @p52) :args (@t25 (@list true true false true) (@list @t28 @t26 @t32 @t27))) % 0.33/0.57 (step @p62 :rule cnf_and_neg :args (@t27)) % 0.33/0.57 (step @p63 :rule chain_m_resolution :premises (@p62 @p61 @p50 @p48) :args (@t27 @t33 (@list @t25 @t26 @t28))) % 0.33/0.57 (step @p64 :rule cnf_and_pos :args (@t27 0)) % 0.33/0.57 (step @p65 :rule reordering :premises (@p64) :args ((or @t26 @t30))) % 0.33/0.57 (step @p66 :rule chain_m_resolution :premises (@p65 @p63) :args (@t26 @t22 (@list @t27))) % 0.33/0.57 (step @p67 :rule cnf_equiv_neg2 :args (@t28)) % 0.33/0.57 (step @p68 false :rule chain_m_resolution :premises (@p67 @p66 @p63 @p48) :args (false @t33 (@list @t26 @t27 @t28))) % 0.33/0.57 ) % 0.33/0.57 % SZS output end Proof % 0.33/0.57 % cvc5 exiting %------------------------------------------------------------------------------