%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYN376+1 : TPTP v9.2.1. Bugfixed v2.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n012.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 09:08:44 AM UTC 2026 % Result : Theorem 0.14s 0.36s % Output : Proof 0.14s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.06 % Problem : SYN376+1 : TPTP v9.2.1. Bugfixed v2.1.0. % 0.00/0.07 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.08/0.25 % Computer : n012.cluster.edu % 0.08/0.25 % Model : x86_64 x86_64 % 0.08/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.08/0.25 % Memory : 8042.1875MB % 0.08/0.25 % OS : Linux 3.10.0-693.el7.x86_64 % 0.08/0.25 % CPULimit : 300 % 0.08/0.25 % WCLimit : 300 % 0.08/0.25 % DateTime : Tue Jun 2 23:25:18 EDT 2026 % 0.08/0.25 % CPUTime : % 0.14/0.33 %----Proving TF0_NAR, FOF, or CNF % 0.14/0.36 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.14/0.36 % SZS status Theorem % 0.14/0.36 % SZS output start Proof % 0.14/0.36 ( % 0.14/0.36 (declare-sort $$unsorted 0) % 0.14/0.36 (declare-const tptp.big_p (-> $$unsorted Bool)) % 0.14/0.36 (define @t1 () (@var "X" $$unsorted)) % 0.14/0.36 (define @t2 () (tptp.big_p @t1)) % 0.14/0.36 (define @t3 () (@list @t1)) % 0.14/0.36 (define @t4 () (forall @t3 (not @t2))) % 0.14/0.36 (define @t5 () (forall @t3 @t2)) % 0.14/0.36 (define @t6 () (or @t5 @t4)) % 0.14/0.36 (define @t7 () (@var "Y" $$unsorted)) % 0.14/0.36 (define @t8 () (tptp.big_p @t7)) % 0.14/0.36 (define @t9 () (@list @t7)) % 0.14/0.36 (define @t10 () (forall @t9 (= @t8 @t2))) % 0.14/0.36 (define @t11 () (exists @t3 @t10)) % 0.14/0.36 (define @t12 () (=> @t11 @t6)) % 0.14/0.36 (define @t13 () (not @t12)) % 0.14/0.36 (define @t14 () (forall @t3 (not @t10))) % 0.14/0.36 (define @t15 () (not @t14)) % 0.14/0.36 (define @t16 () (tptp.big_p (@quantifiers_skolemize @t14 0))) % 0.14/0.36 (define @t17 () (forall @t9 (= @t8 @t16))) % 0.14/0.36 (define @t18 () (not (not @t17))) % 0.14/0.36 (define @t19 () (@list true)) % 0.14/0.36 (define @t20 () (@quantifiers_skolemize @t5 0)) % 0.14/0.36 (define @t21 () (tptp.big_p @t20)) % 0.14/0.36 (define @t22 () (= @t21 @t16)) % 0.14/0.36 (define @t23 () (= @t16 @t21)) % 0.14/0.36 (define @t24 () (@list false)) % 0.14/0.36 (define @t25 () (@list @t17)) % 0.14/0.36 (define @t26 () (@quantifiers_skolemize @t4 0)) % 0.14/0.36 (define @t27 () (tptp.big_p @t26)) % 0.14/0.36 (define @t28 () (= @t27 @t16)) % 0.14/0.36 (define @t29 () (= @t16 @t27)) % 0.14/0.36 (define @t30 () (not @t4)) % 0.14/0.36 (define @t31 () (not @t27)) % 0.14/0.36 (define @t32 () (not @t31)) % 0.14/0.36 (assume @p1 @t13) % 0.14/0.36 (assume @p2 true) % 0.14/0.36 (step @p3 :rule refl :args (@t6)) % 0.14/0.36 (step @p4 :rule exists-elim :args ((= @t11 @t15))) % 0.14/0.36 (step @p5 :rule cong :premises (@p4 @p3) :args (@t12)) % 0.14/0.36 (step @p6 :rule cong :premises (@p5) :args (@t13)) % 0.14/0.36 (step @p7 :rule eq_resolve :premises (@p1 @p6)) % 0.14/0.36 (step @p8 :rule not_implies_elim2 :premises (@p7)) % 0.14/0.36 (step @p9 :rule not_or_elim :premises (@p8) :args (0)) % 0.14/0.36 (step @p10 :rule skolemize :premises (@p9)) % 0.14/0.36 (step @p11 :rule not_implies_elim1 :premises (@p7)) % 0.14/0.36 (step @p12 :rule refl :args (@t17)) % 0.14/0.36 (step @p13 :rule bool-double-not-elim :args (@t14)) % 0.14/0.36 (step @p14 :rule nary_cong :premises (@p13 @p12) :args ((or (not @t15) @t17))) % 0.14/0.36 (step @p15 :rule bool-double-not-elim :args (@t17)) % 0.14/0.36 (step @p16 :rule refl :args (@t15)) % 0.14/0.36 (step @p17 :rule cong :premises (@p16 @p15) :args ((=> @t15 @t18))) % 0.14/0.36 (assume-push @p65 @t15) % 0.14/0.36 (step @p19 :rule skolemize :premises (@p11)) % 0.14/0.36 (step-pop @p66 :rule scope :premises (@p19)) % 0.14/0.36 (step @p20 :rule process_scope :premises (@p66) :args (@t18)) % 0.14/0.36 (step @p22 :rule eq_resolve :premises (@p20 @p17)) % 0.14/0.36 (step @p23 :rule implies_elim :premises (@p22)) % 0.14/0.36 (step @p24 :rule eq_resolve :premises (@p23 @p14)) % 0.14/0.36 (step @p25 :rule chain_m_resolution :premises (@p24 @p11) :args (@t17 @t19 (@list @t14))) % 0.14/0.36 (step @p26 :rule eq-symm :args (@t21 @t16)) % 0.14/0.36 (step @p27 :rule cong :premises (@p12 @p26) :args ((=> @t17 @t22))) % 0.14/0.36 (assume-push @p67 @t17) % 0.14/0.36 (step @p29 :rule instantiate :premises (@p25) :args ((@list @t20))) % 0.14/0.36 (step-pop @p68 :rule scope :premises (@p29)) % 0.14/0.36 (step @p30 :rule process_scope :premises (@p68) :args (@t22)) % 0.14/0.36 (step @p32 :rule eq_resolve :premises (@p30 @p27)) % 0.14/0.36 (step @p33 :rule implies_elim :premises (@p32)) % 0.14/0.36 (step @p34 :rule chain_m_resolution :premises (@p33 @p25) :args (@t23 @t24 @t25)) % 0.14/0.36 (step @p35 :rule eq-symm :args (@t27 @t16)) % 0.14/0.36 (step @p36 :rule cong :premises (@p12 @p35) :args ((=> @t17 @t28))) % 0.14/0.36 (assume-push @p69 @t17) % 0.14/0.36 (step @p38 :rule instantiate :premises (@p25) :args ((@list @t26))) % 0.14/0.36 (step-pop @p70 :rule scope :premises (@p38)) % 0.14/0.36 (step @p39 :rule process_scope :premises (@p70) :args (@t28)) % 0.14/0.36 (step @p41 :rule eq_resolve :premises (@p39 @p36)) % 0.14/0.36 (step @p42 :rule implies_elim :premises (@p41)) % 0.14/0.36 (step @p43 :rule chain_m_resolution :premises (@p42 @p25) :args (@t29 @t24 @t25)) % 0.14/0.36 (step @p44 :rule not_or_elim :premises (@p8) :args (1)) % 0.14/0.36 (step @p45 :rule refl :args (@t27)) % 0.14/0.36 (step @p46 :rule bool-double-not-elim :args (@t4)) % 0.14/0.36 (step @p47 :rule nary_cong :premises (@p46 @p45) :args ((or (not @t30) @t27))) % 0.14/0.36 (step @p48 :rule bool-double-not-elim :args (@t27)) % 0.14/0.36 (step @p49 :rule refl :args (@t30)) % 0.14/0.36 (step @p50 :rule cong :premises (@p49 @p48) :args ((=> @t30 @t32))) % 0.14/0.36 (assume-push @p71 @t30) % 0.14/0.36 (step @p52 :rule skolemize :premises (@p44)) % 0.14/0.36 (step-pop @p72 :rule scope :premises (@p52)) % 0.14/0.36 (step @p53 :rule process_scope :premises (@p72) :args (@t32)) % 0.14/0.37 (step @p55 :rule eq_resolve :premises (@p53 @p50)) % 0.14/0.37 (step @p56 :rule implies_elim :premises (@p55)) % 0.14/0.37 (step @p57 :rule eq_resolve :premises (@p56 @p47)) % 0.14/0.37 (step @p58 :rule chain_m_resolution :premises (@p57 @p44) :args (@t27 @t19 (@list @t4))) % 0.14/0.37 (step @p59 :rule cnf_equiv_pos2 :args (@t29)) % 0.14/0.37 (step @p60 :rule reordering :premises (@p59) :args ((or @t16 @t31 (not @t29)))) % 0.14/0.37 (step @p61 :rule chain_m_resolution :premises (@p60 @p58 @p43) :args (@t16 (@list false false) (@list @t27 @t29))) % 0.14/0.37 (step @p62 :rule cnf_equiv_pos1 :args (@t23)) % 0.14/0.37 (step @p63 :rule reordering :premises (@p62) :args ((or @t21 (not @t16) (not @t23)))) % 0.14/0.37 (step @p64 false :rule chain_m_resolution :premises (@p63 @p61 @p34 @p10) :args (false (@list false false true) (@list @t16 @t23 @t21))) % 0.14/0.37 ) % 0.14/0.37 % SZS output end Proof % 0.14/0.37 % cvc5 exiting %------------------------------------------------------------------------------