%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYN339+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 09:08:36 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 % 0.00/0.12 % Problem : SYN339+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 % 0.17/0.34 % Computer : n008.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 23:24:03 EDT 2026 % 0.17/0.34 % CPUTime : % 0.30/0.49 %----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 $$unsorted 0) % 0.38/0.56 (declare-const tptp.big_f (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.38/0.56 (define @t1 () (@var "Z" $$unsorted)) % 0.38/0.56 (define @t2 () (@var "Y" $$unsorted)) % 0.38/0.56 (define @t3 () (tptp.big_f @t2 @t1 @t1)) % 0.38/0.56 (define @t4 () (@var "X" $$unsorted)) % 0.38/0.56 (define @t5 () (tptp.big_f @t4 @t2 @t1)) % 0.38/0.56 (define @t6 () (=> @t5 @t3)) % 0.38/0.56 (define @t7 () (@list @t1)) % 0.38/0.56 (define @t8 () (exists @t7 @t6)) % 0.38/0.56 (define @t9 () (@list @t2)) % 0.38/0.56 (define @t10 () (forall @t9 @t8)) % 0.38/0.56 (define @t11 () (@list @t4)) % 0.38/0.56 (define @t12 () (exists @t11 @t10)) % 0.38/0.56 (define @t13 () (not @t12)) % 0.38/0.56 (define @t14 () (@var "BOUND_VARIABLE_7433" $$unsorted)) % 0.38/0.56 (define @t15 () (@list @t14)) % 0.38/0.56 (define @t16 () (forall @t15 (not (tptp.big_f @t2 @t14 @t14)))) % 0.38/0.56 (define @t17 () (not @t16)) % 0.38/0.56 (define @t18 () (@var "BOUND_VARIABLE_7428" $$unsorted)) % 0.38/0.56 (define @t19 () (@list @t18)) % 0.38/0.56 (define @t20 () (forall @t19 (tptp.big_f @t4 @t2 @t18))) % 0.38/0.56 (define @t21 () (forall @t9 (or (not @t20) @t17))) % 0.38/0.56 (define @t22 () (forall @t11 (not @t21))) % 0.38/0.56 (define @t23 () (not @t3)) % 0.38/0.56 (define @t24 () (forall @t7 @t23)) % 0.38/0.56 (define @t25 () (@list @t1)) % 0.38/0.56 (define @t26 () (forall @t7 @t5)) % 0.38/0.56 (define @t27 () (and @t26 @t24)) % 0.38/0.56 (define @t28 () (forall @t7 (not @t6))) % 0.38/0.56 (define @t29 () (not @t28)) % 0.38/0.56 (define @t30 () (@const 0 $$unsorted)) % 0.38/0.56 (define @t31 () (@quantifiers_skolemize (forall @t9 (or (not (forall @t19 (tptp.big_f @t30 @t2 @t18))) @t17)) 0)) % 0.38/0.56 (define @t32 () (@quantifiers_skolemize (forall @t9 (or (not (forall @t19 (tptp.big_f @t31 @t2 @t18))) @t17)) 0)) % 0.38/0.56 (define @t33 () (forall @t19 (tptp.big_f @t31 @t32 @t18))) % 0.38/0.56 (define @t34 () (not @t33)) % 0.38/0.56 (define @t35 () (or @t34 (not (forall @t15 (not (tptp.big_f @t32 @t14 @t14)))))) % 0.38/0.56 (define @t36 () (@list true)) % 0.38/0.56 (define @t37 () (forall @t15 (not (tptp.big_f @t31 @t14 @t14)))) % 0.38/0.56 (define @t38 () (not @t37)) % 0.38/0.56 (define @t39 () (or (not (forall @t19 (tptp.big_f @t30 @t31 @t18))) @t38)) % 0.38/0.56 (define @t40 () (@list @t32)) % 0.38/0.56 (define @t41 () (tptp.big_f @t31 @t32 @t32)) % 0.38/0.56 (assume @p1 @t13) % 0.38/0.56 (assume @p2 true) % 0.38/0.56 (step @p3 :rule bool-double-not-elim :args (@t22)) % 0.38/0.56 (step @p4 :rule exists-elim :args ((= (exists @t11 @t21) (not @t22)))) % 0.38/0.56 (step @p5 :rule bool-and-de-morgan :args (@t20 @t16 true)) % 0.38/0.56 (step @p6 :rule cong :premises (@p5) :args ((forall @t9 (not (and @t20 @t16))))) % 0.38/0.56 (step @p7 :rule alpha_equiv :args (@t24 @t25 (@list @t14))) % 0.38/0.56 (step @p8 :rule alpha_equiv :args (@t26 @t25 (@list @t18))) % 0.38/0.56 (step @p9 :rule nary_cong :premises (@p8 @p7) :args (@t27)) % 0.38/0.56 (step @p10 :rule quant-miniscope-and :args ((= (forall @t7 (and @t5 @t23)) @t27))) % 0.38/0.56 (step @p11 :rule trans :premises (@p10 @p9)) % 0.38/0.56 (step @p12 :rule bool-implies-de-morgan :args (@t5 @t3)) % 0.38/0.56 (step @p13 :rule cong :premises (@p12) :args (@t28)) % 0.38/0.56 (step @p14 :rule trans :premises (@p13 @p11)) % 0.38/0.56 (step @p15 :rule cong :premises (@p14) :args (@t29)) % 0.38/0.56 (step @p16 :rule exists-elim :args ((= @t8 @t29))) % 0.38/0.56 (step @p17 :rule trans :premises (@p16 @p15)) % 0.38/0.56 (step @p18 :rule cong :premises (@p17) :args (@t10)) % 0.38/0.56 (step @p19 :rule trans :premises (@p18 @p6)) % 0.38/0.56 (step @p20 :rule cong :premises (@p19) :args (@t12)) % 0.38/0.56 (step @p21 :rule trans :premises (@p20 @p4)) % 0.38/0.56 (step @p22 :rule cong :premises (@p21) :args (@t13)) % 0.38/0.56 (step @p23 :rule trans :premises (@p22 @p3)) % 0.38/0.56 (step @p24 :rule eq_resolve :premises (@p1 @p23)) % 0.38/0.56 (step @p25 :rule instantiate :premises (@p24) :args ((@list @t31))) % 0.38/0.56 (step @p26 :rule skolemize :premises (@p25)) % 0.38/0.56 (step @p27 :rule bool-double-not-elim :args (@t33)) % 0.38/0.56 (step @p28 :rule refl :args (@t35)) % 0.38/0.56 (step @p29 :rule nary_cong :premises (@p28 @p27) :args ((or @t35 (not @t34)))) % 0.38/0.56 (step @p30 :rule cnf_or_neg :args (@t35 0)) % 0.38/0.56 (step @p31 :rule eq_resolve :premises (@p30 @p29)) % 0.38/0.56 (step @p32 :rule reordering :premises (@p31) :args ((or @t33 @t35))) % 0.38/0.56 (step @p33 :rule chain_m_resolution :premises (@p32 @p26) :args (@t33 @t36 (@list @t35))) % 0.38/0.56 (step @p34 :rule instantiate :premises (@p24) :args ((@list @t30))) % 0.38/0.56 (step @p35 :rule skolemize :premises (@p34)) % 0.38/0.56 (step @p36 :rule bool-double-not-elim :args (@t37)) % 0.38/0.56 (step @p37 :rule refl :args (@t39)) % 0.38/0.56 (step @p38 :rule nary_cong :premises (@p37 @p36) :args ((or @t39 (not @t38)))) % 0.38/0.56 (step @p39 :rule cnf_or_neg :args (@t39 1)) % 0.38/0.56 (step @p40 :rule eq_resolve :premises (@p39 @p38)) % 0.38/0.56 (step @p41 :rule reordering :premises (@p40) :args ((or @t37 @t39))) % 0.38/0.56 (step @p42 :rule chain_m_resolution :premises (@p41 @p35) :args (@t37 @t36 (@list @t39))) % 0.38/0.56 (step @p43 :rule instantiate :premises (@p42) :args (@t40)) % 0.38/0.56 (assume-push @p50 @t33) % 0.38/0.56 (step @p45 :rule instantiate :premises (@p33) :args (@t40)) % 0.38/0.56 (step-pop @p51 :rule scope :premises (@p45)) % 0.38/0.56 (step @p46 :rule process_scope :premises (@p51) :args (@t41)) % 0.38/0.56 (step @p48 :rule implies_elim :premises (@p46)) % 0.38/0.56 (step @p49 false :rule chain_m_resolution :premises (@p48 @p43 @p33) :args (false (@list true false) (@list @t41 @t33))) % 0.38/0.56 ) % 0.38/0.56 % SZS output end Proof % 0.38/0.56 % cvc5 exiting %------------------------------------------------------------------------------