%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYN972+1 : TPTP v9.2.1. Released v3.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n013.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 09:10:10 AM UTC 2026 % Result : Theorem 0.35s 0.56s % Output : Proof 0.35s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SYN972+1 : TPTP v9.2.1. Released v3.1.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n013.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 23:50:15 EDT 2026 % 0.17/0.35 % CPUTime : % 0.30/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.35/0.56 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.35/0.56 % SZS status Theorem % 0.35/0.56 % SZS output start Proof % 0.35/0.56 ( % 0.35/0.56 (declare-sort $$unsorted 0) % 0.35/0.56 (declare-const tptp.p (-> $$unsorted $$unsorted Bool)) % 0.35/0.56 (define @t1 () (@var "Y" $$unsorted)) % 0.35/0.56 (define @t2 () (@var "X" $$unsorted)) % 0.35/0.56 (define @t3 () (tptp.p @t2 @t1)) % 0.35/0.56 (define @t4 () (@list @t2)) % 0.35/0.56 (define @t5 () (exists @t4 @t3)) % 0.35/0.56 (define @t6 () (@list @t1)) % 0.35/0.56 (define @t7 () (forall @t6 @t5)) % 0.35/0.56 (define @t8 () (forall @t6 @t3)) % 0.35/0.56 (define @t9 () (exists @t4 @t8)) % 0.35/0.56 (define @t10 () (=> @t9 @t7)) % 0.35/0.56 (define @t11 () (not @t10)) % 0.35/0.56 (define @t12 () (not (forall @t4 (not @t3)))) % 0.35/0.56 (define @t13 () (forall @t4 (not @t8))) % 0.35/0.56 (define @t14 () (not @t13)) % 0.35/0.56 (define @t15 () (forall @t6 @t12)) % 0.35/0.56 (define @t16 () (@quantifiers_skolemize @t15 0)) % 0.35/0.56 (define @t17 () (forall @t4 (not (tptp.p @t2 @t16)))) % 0.35/0.56 (define @t18 () (not @t15)) % 0.35/0.56 (define @t19 () (not (not @t17))) % 0.35/0.56 (define @t20 () (@list true)) % 0.35/0.56 (define @t21 () (@quantifiers_skolemize @t13 0)) % 0.35/0.56 (define @t22 () (forall @t6 (tptp.p @t21 @t1))) % 0.35/0.56 (define @t23 () (not (not @t22))) % 0.35/0.56 (define @t24 () (tptp.p @t21 @t16)) % 0.35/0.56 (assume @p1 @t11) % 0.35/0.56 (assume @p2 true) % 0.35/0.56 (step @p3 :rule exists-elim :args ((= @t5 @t12))) % 0.35/0.56 (step @p4 :rule cong :premises (@p3) :args (@t7)) % 0.35/0.56 (step @p5 :rule exists-elim :args ((= @t9 @t14))) % 0.35/0.56 (step @p6 :rule cong :premises (@p5 @p4) :args (@t10)) % 0.35/0.56 (step @p7 :rule cong :premises (@p6) :args (@t11)) % 0.35/0.56 (step @p8 :rule eq_resolve :premises (@p1 @p7)) % 0.35/0.56 (step @p9 :rule not_implies_elim2 :premises (@p8)) % 0.35/0.56 (step @p10 :rule refl :args (@t17)) % 0.35/0.56 (step @p11 :rule bool-double-not-elim :args (@t15)) % 0.35/0.56 (step @p12 :rule nary_cong :premises (@p11 @p10) :args ((or (not @t18) @t17))) % 0.35/0.56 (step @p13 :rule bool-double-not-elim :args (@t17)) % 0.35/0.56 (step @p14 :rule refl :args (@t18)) % 0.35/0.56 (step @p15 :rule cong :premises (@p14 @p13) :args ((=> @t18 @t19))) % 0.35/0.56 (assume-push @p46 @t18) % 0.35/0.56 (step @p17 :rule skolemize :premises (@p9)) % 0.35/0.56 (step-pop @p47 :rule scope :premises (@p17)) % 0.35/0.56 (step @p18 :rule process_scope :premises (@p47) :args (@t19)) % 0.35/0.56 (step @p20 :rule eq_resolve :premises (@p18 @p15)) % 0.35/0.56 (step @p21 :rule implies_elim :premises (@p20)) % 0.35/0.56 (step @p22 :rule eq_resolve :premises (@p21 @p12)) % 0.35/0.56 (step @p23 :rule chain_m_resolution :premises (@p22 @p9) :args (@t17 @t20 (@list @t15))) % 0.35/0.56 (step @p24 :rule not_implies_elim1 :premises (@p8)) % 0.35/0.56 (step @p25 :rule refl :args (@t22)) % 0.35/0.56 (step @p26 :rule bool-double-not-elim :args (@t13)) % 0.35/0.56 (step @p27 :rule nary_cong :premises (@p26 @p25) :args ((or (not @t14) @t22))) % 0.35/0.56 (step @p28 :rule bool-double-not-elim :args (@t22)) % 0.35/0.56 (step @p29 :rule refl :args (@t14)) % 0.35/0.56 (step @p30 :rule cong :premises (@p29 @p28) :args ((=> @t14 @t23))) % 0.35/0.56 (assume-push @p48 @t14) % 0.35/0.56 (step @p32 :rule skolemize :premises (@p24)) % 0.35/0.56 (step-pop @p49 :rule scope :premises (@p32)) % 0.35/0.56 (step @p33 :rule process_scope :premises (@p49) :args (@t23)) % 0.35/0.56 (step @p35 :rule eq_resolve :premises (@p33 @p30)) % 0.35/0.56 (step @p36 :rule implies_elim :premises (@p35)) % 0.35/0.56 (step @p37 :rule eq_resolve :premises (@p36 @p27)) % 0.35/0.56 (step @p38 :rule chain_m_resolution :premises (@p37 @p24) :args (@t22 @t20 (@list @t13))) % 0.35/0.56 (step @p39 :rule instantiate :premises (@p38) :args ((@list @t16))) % 0.35/0.56 (assume-push @p50 @t17) % 0.35/0.56 (step @p41 :rule instantiate :premises (@p23) :args ((@list @t21))) % 0.35/0.56 (step-pop @p51 :rule scope :premises (@p41)) % 0.35/0.56 (step @p42 :rule process_scope :premises (@p51) :args ((not @t24))) % 0.35/0.56 (step @p44 :rule implies_elim :premises (@p42)) % 0.35/0.56 (step @p45 false :rule chain_m_resolution :premises (@p44 @p39 @p23) :args (false (@list false false) (@list @t24 @t17))) % 0.35/0.56 ) % 0.35/0.56 % SZS output end Proof % 0.35/0.56 % cvc5 exiting 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