%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYN375+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 : n008.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 09:08:43 AM UTC 2026 % Result : Theorem 0.27s 0.55s % Output : Proof 0.27s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SYN375+1 : TPTP v9.2.1. Released v2.0.0. % 0.00/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n008.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 23:25:33 EDT 2026 % 0.16/0.34 % CPUTime : % 0.27/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.27/0.55 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.27/0.55 % SZS status Theorem % 0.27/0.55 % SZS output start Proof % 0.27/0.55 ( % 0.27/0.55 (declare-sort $$unsorted 0) % 0.27/0.55 (declare-const tptp.big_p (-> $$unsorted Bool)) % 0.27/0.55 (define @t1 () (@var "Y" $$unsorted)) % 0.27/0.55 (define @t2 () (tptp.big_p @t1)) % 0.27/0.55 (define @t3 () (@list @t1)) % 0.27/0.55 (define @t4 () (exists @t3 @t2)) % 0.27/0.55 (define @t5 () (@var "X" $$unsorted)) % 0.27/0.55 (define @t6 () (tptp.big_p @t5)) % 0.27/0.55 (define @t7 () (@list @t5)) % 0.27/0.55 (define @t8 () (forall @t7 @t6)) % 0.27/0.55 (define @t9 () (= @t6 @t4)) % 0.27/0.55 (define @t10 () (forall @t7 @t9)) % 0.27/0.55 (define @t11 () (= @t10 (= @t8 @t4))) % 0.27/0.55 (define @t12 () (not @t11)) % 0.27/0.55 (define @t13 () (forall @t3 (not @t2))) % 0.27/0.55 (define @t14 () (not @t13)) % 0.27/0.55 (define @t15 () (forall @t7 (= @t6 @t14))) % 0.27/0.55 (define @t16 () (@quantifiers_skolemize @t15 0)) % 0.27/0.55 (define @t17 () (tptp.big_p @t16)) % 0.27/0.55 (define @t18 () (= @t14 @t17)) % 0.27/0.55 (define @t19 () (not @t18)) % 0.27/0.55 (define @t20 () (not @t15)) % 0.27/0.55 (define @t21 () (not (= @t17 @t14))) % 0.27/0.55 (define @t22 () (= @t8 @t14)) % 0.27/0.55 (define @t23 () (not @t22)) % 0.27/0.55 (define @t24 () (not @t14)) % 0.27/0.55 (define @t25 () (@list @t16)) % 0.27/0.55 (define @t26 () (not @t17)) % 0.27/0.55 (define @t27 () (not @t8)) % 0.27/0.55 (define @t28 () (@list true true)) % 0.27/0.55 (define @t29 () (@quantifiers_skolemize @t8 0)) % 0.27/0.55 (define @t30 () (tptp.big_p @t29)) % 0.27/0.55 (define @t31 () (not @t30)) % 0.27/0.55 (define @t32 () (= @t14 @t30)) % 0.27/0.55 (define @t33 () (not @t32)) % 0.27/0.55 (define @t34 () (= @t30 @t14)) % 0.27/0.55 (assume @p1 @t12) % 0.27/0.55 (assume @p2 true) % 0.27/0.55 (step @p3 :rule eq-symm :args (@t14 @t8)) % 0.27/0.55 (step @p4 :rule refl :args (@t8)) % 0.27/0.55 (step @p5 :rule exists-elim :args ((= @t4 @t14))) % 0.27/0.55 (step @p6 :rule cong :premises (@p5 @p4) :args ((= @t4 @t8))) % 0.27/0.55 (step @p7 :rule trans :premises (@p6 @p3)) % 0.27/0.55 (step @p8 :rule eq-symm :args (@t8 @t4)) % 0.27/0.55 (step @p9 :rule trans :premises (@p8 @p7)) % 0.27/0.55 (step @p10 :rule refl :args (@t6)) % 0.27/0.55 (step @p11 :rule cong :premises (@p10 @p5) :args (@t9)) % 0.27/0.55 (step @p12 :rule cong :premises (@p11) :args (@t10)) % 0.27/0.55 (step @p13 :rule cong :premises (@p12 @p9) :args (@t11)) % 0.27/0.55 (step @p14 :rule cong :premises (@p13) :args (@t12)) % 0.27/0.55 (step @p15 :rule eq_resolve :premises (@p1 @p14)) % 0.27/0.55 (step @p16 :rule not_equiv_elim1 :premises (@p15)) % 0.27/0.55 (step @p17 :rule refl :args (@t19)) % 0.27/0.55 (step @p18 :rule bool-double-not-elim :args (@t15)) % 0.27/0.55 (step @p19 :rule nary_cong :premises (@p18 @p17) :args ((or (not @t20) @t19))) % 0.27/0.55 (step @p20 :rule eq-symm :args (@t17 @t14)) % 0.27/0.55 (step @p21 :rule cong :premises (@p20) :args (@t21)) % 0.27/0.55 (step @p22 :rule refl :args (@t20)) % 0.27/0.55 (step @p23 :rule cong :premises (@p22 @p21) :args ((=> @t20 @t21))) % 0.27/0.55 (assume-push @p96 @t20) % 0.27/0.55 (step @p25 :rule skolemize :premises (@p96)) % 0.27/0.55 (step-pop @p97 :rule scope :premises (@p25)) % 0.27/0.55 (step @p26 :rule process_scope :premises (@p97) :args (@t21)) % 0.27/0.55 (step @p28 :rule eq_resolve :premises (@p26 @p23)) % 0.27/0.55 (step @p29 :rule implies_elim :premises (@p28)) % 0.27/0.55 (step @p30 :rule eq_resolve :premises (@p29 @p19)) % 0.27/0.55 (step @p31 :rule cnf_equiv_neg1 :args (@t18)) % 0.27/0.55 (step @p32 :rule reordering :premises (@p31) :args ((or @t14 @t17 @t18))) % 0.27/0.55 (step @p33 :rule bool-double-not-elim :args (@t13)) % 0.27/0.55 (step @p34 :rule refl :args (@t23)) % 0.27/0.55 (step @p35 :rule nary_cong :premises (@p34 @p4 @p33) :args ((or @t23 @t8 @t24))) % 0.27/0.55 (step @p36 :rule cnf_equiv_pos2 :args (@t22)) % 0.27/0.55 (step @p37 :rule eq_resolve :premises (@p36 @p35)) % 0.27/0.55 (step @p38 :rule reordering :premises (@p37) :args ((or @t8 @t13 @t23))) % 0.27/0.55 (assume-push @p98 @t8) % 0.27/0.55 (step @p40 :rule instantiate :premises (@p98) :args (@t25)) % 0.27/0.55 (step-pop @p99 :rule scope :premises (@p40)) % 0.27/0.55 (step @p41 :rule process_scope :premises (@p99) :args (@t17)) % 0.27/0.55 (step @p43 :rule implies_elim :premises (@p41)) % 0.27/0.55 (step @p44 :rule chain_m_resolution :premises (@p43 @p38 @p32) :args ((or @t23 @t17 @t18) (@list false true) (@list @t8 @t13))) % 0.27/0.55 (step @p45 :rule refl :args (@t26)) % 0.27/0.55 (step @p46 :rule refl :args (@t18)) % 0.27/0.55 (step @p47 :rule nary_cong :premises (@p46 @p33 @p45) :args ((or @t18 @t24 @t26))) % 0.27/0.55 (step @p48 :rule cnf_equiv_neg2 :args (@t18)) % 0.27/0.55 (step @p49 :rule eq_resolve :premises (@p48 @p47)) % 0.27/0.55 (step @p50 :rule reordering :premises (@p49) :args ((or @t13 @t18 @t26))) % 0.27/0.55 (assume-push @p100 @t13) % 0.27/0.55 (step @p52 :rule instantiate :premises (@p100) :args (@t25)) % 0.27/0.55 (step-pop @p101 :rule scope :premises (@p52)) % 0.27/0.55 (step @p53 :rule process_scope :premises (@p101) :args (@t26)) % 0.27/0.55 (step @p55 :rule implies_elim :premises (@p53)) % 0.27/0.55 (step @p56 :rule chain_m_resolution :premises (@p55 @p50 @p44 @p30 @p16) :args (@t15 (@list false false true false) (@list @t13 @t17 @t18 @t22))) % 0.27/0.55 (step @p57 :rule not_equiv_elim2 :premises (@p15)) % 0.27/0.55 (step @p58 :rule chain_m_resolution :premises (@p57 @p56) :args (@t23 (@list false) (@list @t15))) % 0.27/0.55 (step @p59 :rule cnf_equiv_neg1 :args (@t22)) % 0.27/0.55 (step @p60 :rule reordering :premises (@p59) :args ((or @t8 @t14 @t22))) % 0.27/0.55 (step @p61 :rule chain_m_resolution :premises (@p43 @p60 @p58 @p55) :args (@t14 (@list false true true) (@list @t8 @t22 @t17))) % 0.27/0.55 (step @p62 :rule refl :args (@t27)) % 0.27/0.55 (step @p63 :rule refl :args (@t22)) % 0.27/0.55 (step @p64 :rule nary_cong :premises (@p63 @p62 @p33) :args ((or @t22 @t27 @t24))) % 0.27/0.55 (step @p65 :rule cnf_equiv_neg2 :args (@t22)) % 0.27/0.55 (step @p66 :rule eq_resolve :premises (@p65 @p64)) % 0.27/0.55 (step @p67 :rule reordering :premises (@p66) :args ((or @t13 @t22 @t27))) % 0.27/0.55 (step @p68 :rule chain_m_resolution :premises (@p67 @p61 @p58) :args (@t27 @t28 (@list @t13 @t22))) % 0.27/0.55 (step @p69 :rule refl :args (@t31)) % 0.27/0.55 (step @p70 :rule bool-double-not-elim :args (@t8)) % 0.27/0.55 (step @p71 :rule nary_cong :premises (@p70 @p69) :args ((or (not @t27) @t31))) % 0.27/0.55 (assume-push @p102 @t27) % 0.27/0.55 (step @p73 :rule skolemize :premises (@p102)) % 0.27/0.55 (step-pop @p103 :rule scope :premises (@p73)) % 0.27/0.55 (step @p74 :rule process_scope :premises (@p103) :args (@t31)) % 0.27/0.55 (step @p76 :rule implies_elim :premises (@p74)) % 0.27/0.55 (step @p77 :rule eq_resolve :premises (@p76 @p71)) % 0.27/0.55 (step @p78 :rule chain_m_resolution :premises (@p77 @p68) :args (@t31 (@list true) (@list @t8))) % 0.27/0.55 (step @p79 :rule refl :args (@t30)) % 0.27/0.55 (step @p80 :rule refl :args (@t33)) % 0.27/0.55 (step @p81 :rule nary_cong :premises (@p80 @p33 @p79) :args ((or @t33 @t24 @t30))) % 0.27/0.55 (step @p82 :rule cnf_equiv_pos1 :args (@t32)) % 0.27/0.55 (step @p83 :rule eq_resolve :premises (@p82 @p81)) % 0.27/0.55 (step @p84 :rule reordering :premises (@p83) :args ((or @t13 @t30 @t33))) % 0.27/0.55 (step @p85 :rule chain_m_resolution :premises (@p84 @p61 @p78) :args (@t33 @t28 (@list @t13 @t30))) % 0.27/0.55 (step @p86 :rule eq-symm :args (@t30 @t14)) % 0.27/0.55 (step @p87 :rule refl :args (@t15)) % 0.27/0.55 (step @p88 :rule cong :premises (@p87 @p86) :args ((=> @t15 @t34))) % 0.27/0.55 (assume-push @p104 @t15) % 0.27/0.55 (step @p90 :rule instantiate :premises (@p104) :args ((@list @t29))) % 0.27/0.55 (step-pop @p105 :rule scope :premises (@p90)) % 0.27/0.55 (step @p91 :rule process_scope :premises (@p105) :args (@t34)) % 0.27/0.55 (step @p93 :rule eq_resolve :premises (@p91 @p88)) % 0.27/0.55 (step @p94 :rule implies_elim :premises (@p93)) % 0.27/0.55 (step @p95 false :rule chain_m_resolution :premises (@p94 @p85 @p56) :args (false (@list true false) (@list @t32 @t15))) % 0.27/0.55 ) % 0.27/0.55 % SZS output end Proof % 0.27/0.55 % cvc5 exiting %------------------------------------------------------------------------------