%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYN377+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 : n002.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 0.38s 0.56s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.13/0.13 % Problem : SYN377+1 : TPTP v9.2.1. Released v2.0.0. % 0.13/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.18/0.35 % Computer : n002.cluster.edu % 0.18/0.35 % Model : x86_64 x86_64 % 0.18/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.35 % Memory : 8042.1875MB % 0.18/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.35 % CPULimit : 300 % 0.18/0.35 % WCLimit : 300 % 0.18/0.35 % DateTime : Tue Jun 2 23:25:33 EDT 2026 % 0.18/0.35 % CPUTime : % 0.28/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.38/0.56 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.38/0.56 % SZS status Theorem % 0.38/0.56 % SZS output start Proof % 0.38/0.56 ( % 0.38/0.56 (declare-sort $$unsorted 0) % 0.38/0.56 (declare-const tptp.big_p (-> $$unsorted Bool)) % 0.38/0.56 (define @t1 () (@var "Y" $$unsorted)) % 0.38/0.56 (define @t2 () (forall (@list @t1) (tptp.big_p @t1))) % 0.38/0.56 (define @t3 () (@var "X" $$unsorted)) % 0.38/0.56 (define @t4 () (tptp.big_p @t3)) % 0.38/0.56 (define @t5 () (@list @t3)) % 0.38/0.56 (define @t6 () (exists @t5 @t4)) % 0.38/0.56 (define @t7 () (forall @t5 (= @t4 @t2))) % 0.38/0.56 (define @t8 () (= @t7 (= @t6 @t2))) % 0.38/0.56 (define @t9 () (not @t8)) % 0.38/0.56 (define @t10 () (forall @t5 (not @t4))) % 0.38/0.56 (define @t11 () (not @t10)) % 0.38/0.56 (define @t12 () (@quantifiers_skolemize @t7 0)) % 0.38/0.56 (define @t13 () (tptp.big_p @t12)) % 0.38/0.56 (define @t14 () (= @t2 @t13)) % 0.38/0.56 (define @t15 () (not @t14)) % 0.38/0.56 (define @t16 () (not @t7)) % 0.38/0.56 (define @t17 () (= @t13 @t2)) % 0.38/0.56 (define @t18 () (not @t17)) % 0.38/0.56 (define @t19 () (@list @t12)) % 0.38/0.56 (define @t20 () (@list false)) % 0.38/0.56 (define @t21 () (not @t13)) % 0.38/0.56 (define @t22 () (not @t2)) % 0.38/0.56 (define @t23 () (= @t2 @t11)) % 0.38/0.56 (define @t24 () (not @t23)) % 0.38/0.56 (define @t25 () (not @t11)) % 0.38/0.56 (define @t26 () (@list @t7)) % 0.38/0.56 (define @t27 () (@quantifiers_skolemize @t10 0)) % 0.38/0.56 (define @t28 () (tptp.big_p @t27)) % 0.38/0.56 (define @t29 () (= @t28 @t2)) % 0.38/0.56 (define @t30 () (= @t2 @t28)) % 0.38/0.56 (define @t31 () (not @t28)) % 0.38/0.56 (define @t32 () (not @t31)) % 0.38/0.56 (define @t33 () (@list false false)) % 0.38/0.56 (assume @p1 @t9) % 0.38/0.56 (assume @p2 true) % 0.38/0.56 (step @p3 :rule exists-elim :args ((= @t6 @t11))) % 0.38/0.56 (step @p4 :rule refl :args (@t2)) % 0.38/0.56 (step @p5 :rule cong :premises (@p4 @p3) :args ((= @t2 @t6))) % 0.38/0.56 (step @p6 :rule eq-symm :args (@t6 @t2)) % 0.38/0.56 (step @p7 :rule trans :premises (@p6 @p5)) % 0.38/0.56 (step @p8 :rule refl :args (@t7)) % 0.38/0.56 (step @p9 :rule cong :premises (@p8 @p7) :args (@t8)) % 0.38/0.56 (step @p10 :rule cong :premises (@p9) :args (@t9)) % 0.38/0.56 (step @p11 :rule eq_resolve :premises (@p1 @p10)) % 0.38/0.56 (step @p12 :rule not_equiv_elim1 :premises (@p11)) % 0.38/0.56 (step @p13 :rule refl :args (@t15)) % 0.38/0.56 (step @p14 :rule bool-double-not-elim :args (@t7)) % 0.38/0.56 (step @p15 :rule nary_cong :premises (@p14 @p13) :args ((or (not @t16) @t15))) % 0.38/0.56 (step @p16 :rule eq-symm :args (@t13 @t2)) % 0.38/0.56 (step @p17 :rule cong :premises (@p16) :args (@t18)) % 0.38/0.56 (step @p18 :rule refl :args (@t16)) % 0.38/0.56 (step @p19 :rule cong :premises (@p18 @p17) :args ((=> @t16 @t18))) % 0.38/0.56 (assume-push @p96 @t16) % 0.38/0.56 (step @p21 :rule skolemize :premises (@p96)) % 0.38/0.56 (step-pop @p97 :rule scope :premises (@p21)) % 0.38/0.56 (step @p22 :rule process_scope :premises (@p97) :args (@t18)) % 0.38/0.56 (step @p24 :rule eq_resolve :premises (@p22 @p19)) % 0.38/0.56 (step @p25 :rule implies_elim :premises (@p24)) % 0.38/0.56 (step @p26 :rule eq_resolve :premises (@p25 @p15)) % 0.38/0.56 (step @p27 :rule cnf_equiv_neg1 :args (@t14)) % 0.38/0.56 (step @p28 :rule reordering :premises (@p27) :args ((or @t2 @t13 @t14))) % 0.38/0.56 (assume-push @p98 @t2) % 0.38/0.56 (step @p30 :rule instantiate :premises (@p98) :args (@t19)) % 0.38/0.56 (step-pop @p99 :rule scope :premises (@p30)) % 0.38/0.56 (step @p31 :rule process_scope :premises (@p99) :args (@t13)) % 0.38/0.56 (step @p33 :rule implies_elim :premises (@p31)) % 0.38/0.56 (step @p34 :rule chain_m_resolution :premises (@p33 @p28) :args ((or @t13 @t14) @t20 (@list @t2))) % 0.38/0.56 (step @p35 :rule cnf_equiv_neg2 :args (@t14)) % 0.38/0.56 (step @p36 :rule reordering :premises (@p35) :args ((or @t22 @t14 @t21))) % 0.38/0.56 (step @p37 :rule bool-double-not-elim :args (@t10)) % 0.38/0.56 (step @p38 :rule refl :args (@t24)) % 0.38/0.56 (step @p39 :rule nary_cong :premises (@p38 @p4 @p37) :args ((or @t24 @t2 @t25))) % 0.38/0.56 (step @p40 :rule cnf_equiv_pos2 :args (@t23)) % 0.38/0.56 (step @p41 :rule eq_resolve :premises (@p40 @p39)) % 0.38/0.56 (step @p42 :rule reordering :premises (@p41) :args ((or @t2 @t10 @t24))) % 0.38/0.56 (assume-push @p100 @t10) % 0.38/0.56 (step @p44 :rule instantiate :premises (@p100) :args (@t19)) % 0.38/0.56 (step-pop @p101 :rule scope :premises (@p44)) % 0.38/0.56 (step @p45 :rule process_scope :premises (@p101) :args (@t21)) % 0.38/0.56 (step @p47 :rule implies_elim :premises (@p45)) % 0.38/0.56 (step @p48 :rule chain_m_resolution :premises (@p47 @p42 @p36 @p34 @p26 @p12) :args (@t7 (@list false true false true false) (@list @t10 @t2 @t13 @t14 @t23))) % 0.38/0.56 (step @p49 :rule cong :premises (@p8 @p16) :args ((=> @t7 @t17))) % 0.38/0.56 (assume-push @p102 @t7) % 0.38/0.56 (step @p51 :rule instantiate :premises (@p102) :args (@t19)) % 0.38/0.56 (step-pop @p103 :rule scope :premises (@p51)) % 0.38/0.56 (step @p52 :rule process_scope :premises (@p103) :args (@t17)) % 0.38/0.57 (step @p54 :rule eq_resolve :premises (@p52 @p49)) % 0.38/0.57 (step @p55 :rule implies_elim :premises (@p54)) % 0.38/0.57 (step @p56 :rule chain_m_resolution :premises (@p55 @p48) :args (@t14 @t20 @t26)) % 0.38/0.57 (step @p57 :rule not_equiv_elim2 :premises (@p11)) % 0.38/0.57 (step @p58 :rule chain_m_resolution :premises (@p57 @p48) :args (@t24 @t20 @t26)) % 0.38/0.57 (step @p59 :rule cnf_equiv_neg1 :args (@t23)) % 0.38/0.57 (step @p60 :rule reordering :premises (@p59) :args ((or @t2 @t11 @t23))) % 0.38/0.57 (step @p61 :rule eq-symm :args (@t28 @t2)) % 0.38/0.57 (step @p62 :rule cong :premises (@p8 @p61) :args ((=> @t7 @t29))) % 0.38/0.57 (assume-push @p104 @t7) % 0.38/0.57 (step @p64 :rule instantiate :premises (@p104) :args ((@list @t27))) % 0.38/0.57 (step-pop @p105 :rule scope :premises (@p64)) % 0.38/0.57 (step @p65 :rule process_scope :premises (@p105) :args (@t29)) % 0.38/0.57 (step @p67 :rule eq_resolve :premises (@p65 @p62)) % 0.38/0.57 (step @p68 :rule implies_elim :premises (@p67)) % 0.38/0.57 (step @p69 :rule chain_m_resolution :premises (@p68 @p48) :args (@t30 @t20 @t26)) % 0.38/0.57 (step @p70 :rule cnf_equiv_pos2 :args (@t30)) % 0.38/0.57 (step @p71 :rule reordering :premises (@p70) :args ((or @t2 @t31 (not @t30)))) % 0.38/0.57 (step @p72 :rule refl :args (@t28)) % 0.38/0.57 (step @p73 :rule nary_cong :premises (@p37 @p72) :args ((or @t25 @t28))) % 0.38/0.57 (step @p74 :rule bool-double-not-elim :args (@t28)) % 0.38/0.57 (step @p75 :rule refl :args (@t11)) % 0.38/0.57 (step @p76 :rule cong :premises (@p75 @p74) :args ((=> @t11 @t32))) % 0.38/0.57 (assume-push @p106 @t11) % 0.38/0.57 (step @p78 :rule skolemize :premises (@p106)) % 0.38/0.57 (step-pop @p107 :rule scope :premises (@p78)) % 0.38/0.57 (step @p79 :rule process_scope :premises (@p107) :args (@t32)) % 0.38/0.57 (step @p81 :rule eq_resolve :premises (@p79 @p76)) % 0.38/0.57 (step @p82 :rule implies_elim :premises (@p81)) % 0.38/0.57 (step @p83 :rule eq_resolve :premises (@p82 @p73)) % 0.38/0.57 (step @p84 :rule chain_m_resolution :premises (@p83 @p71 @p69 @p60 @p58) :args (@t2 (@list true false true true) (@list @t28 @t30 @t10 @t23))) % 0.38/0.57 (step @p85 :rule cnf_equiv_pos1 :args (@t14)) % 0.38/0.57 (step @p86 :rule reordering :premises (@p85) :args ((or @t22 @t13 @t15))) % 0.38/0.57 (step @p87 :rule chain_m_resolution :premises (@p86 @p84 @p56) :args (@t13 @t33 (@list @t2 @t14))) % 0.38/0.57 (step @p88 :rule refl :args (@t22)) % 0.38/0.57 (step @p89 :rule refl :args (@t23)) % 0.38/0.57 (step @p90 :rule nary_cong :premises (@p89 @p88 @p37) :args ((or @t23 @t22 @t25))) % 0.38/0.57 (step @p91 :rule cnf_equiv_neg2 :args (@t23)) % 0.38/0.57 (step @p92 :rule eq_resolve :premises (@p91 @p90)) % 0.38/0.57 (step @p93 :rule reordering :premises (@p92) :args ((or @t10 @t23 @t22))) % 0.38/0.57 (step @p94 :rule chain_m_resolution :premises (@p93 @p58 @p84) :args (@t10 (@list true false) (@list @t23 @t2))) % 0.38/0.57 (step @p95 false :rule chain_m_resolution :premises (@p47 @p94 @p87) :args (false @t33 (@list @t10 @t13))) % 0.38/0.57 ) % 0.38/0.57 % SZS output end Proof % 0.38/0.57 % cvc5 exiting %------------------------------------------------------------------------------