%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYN325+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 : n010.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 09:08:33 AM UTC 2026 % Result : Theorem 0.37s 0.56s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SYN325+1 : TPTP v9.2.1. Released v2.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n010.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 23:23:10 EDT 2026 % 0.17/0.35 % CPUTime : % 0.29/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.37/0.56 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.37/0.56 % SZS status Theorem % 0.37/0.56 % SZS output start Proof % 0.37/0.56 ( % 0.37/0.56 (declare-sort $$unsorted 0) % 0.37/0.56 (declare-const tptp.big_f (-> $$unsorted $$unsorted Bool)) % 0.37/0.56 (declare-const tptp.big_g (-> $$unsorted Bool)) % 0.37/0.56 (define @t1 () (@var "Y" $$unsorted)) % 0.37/0.56 (define @t2 () (tptp.big_g @t1)) % 0.37/0.56 (define @t3 () (@var "X" $$unsorted)) % 0.37/0.56 (define @t4 () (tptp.big_g @t3)) % 0.37/0.56 (define @t5 () (tptp.big_f @t3 @t1)) % 0.37/0.56 (define @t6 () (and @t5 @t4)) % 0.37/0.56 (define @t7 () (tptp.big_f @t1 @t1)) % 0.37/0.56 (define @t8 () (tptp.big_f @t3 @t3)) % 0.37/0.56 (define @t9 () (=> @t8 @t7)) % 0.37/0.56 (define @t10 () (=> @t9 @t6)) % 0.37/0.56 (define @t11 () (@list @t1)) % 0.37/0.56 (define @t12 () (forall @t11 (=> @t10 @t2))) % 0.37/0.56 (define @t13 () (@list @t3)) % 0.37/0.56 (define @t14 () (exists @t13 @t12)) % 0.37/0.56 (define @t15 () (not @t14)) % 0.37/0.56 (define @t16 () (forall @t11 (or (and (or (not @t8) @t7) (or (not @t5) (not @t4))) @t2))) % 0.37/0.56 (define @t17 () (forall @t13 (not @t16))) % 0.37/0.56 (define @t18 () (@const 0 $$unsorted)) % 0.37/0.56 (define @t19 () (not (tptp.big_g @t18))) % 0.37/0.56 (define @t20 () (not (tptp.big_f @t18 @t18))) % 0.37/0.56 (define @t21 () (@quantifiers_skolemize (forall @t11 (or (and (or @t20 @t7) (or (not (tptp.big_f @t18 @t1)) @t19)) @t2)) 0)) % 0.37/0.56 (define @t22 () (tptp.big_g @t21)) % 0.37/0.56 (define @t23 () (not @t22)) % 0.37/0.56 (define @t24 () (tptp.big_f @t21 @t21)) % 0.37/0.56 (define @t25 () (not @t24)) % 0.37/0.56 (define @t26 () (@quantifiers_skolemize (forall @t11 (or (and (or @t25 @t7) (or (not (tptp.big_f @t21 @t1)) @t23)) @t2)) 0)) % 0.37/0.56 (define @t27 () (tptp.big_g @t26)) % 0.37/0.56 (define @t28 () (or (not (tptp.big_f @t21 @t26)) @t23)) % 0.37/0.56 (define @t29 () (tptp.big_f @t26 @t26)) % 0.37/0.56 (define @t30 () (or @t25 @t29)) % 0.37/0.56 (define @t31 () (and @t30 @t28)) % 0.37/0.56 (define @t32 () (or @t31 @t27)) % 0.37/0.56 (define @t33 () (not @t27)) % 0.37/0.56 (define @t34 () (@list true)) % 0.37/0.56 (define @t35 () (@list @t32)) % 0.37/0.56 (define @t36 () (not @t29)) % 0.37/0.56 (define @t37 () (@quantifiers_skolemize (forall @t11 (or (and (or @t36 @t7) (or (not (tptp.big_f @t26 @t1)) @t33)) @t2)) 0)) % 0.37/0.56 (define @t38 () (or (not (tptp.big_f @t26 @t37)) @t33)) % 0.37/0.56 (define @t39 () (or (and (or @t20 @t24) (or (not (tptp.big_f @t18 @t21)) @t19)) @t22)) % 0.37/0.56 (define @t40 () (or @t36 (tptp.big_f @t37 @t37))) % 0.37/0.56 (define @t41 () (and @t40 @t38)) % 0.37/0.56 (define @t42 () (or @t41 (tptp.big_g @t37))) % 0.37/0.56 (assume @p1 @t15) % 0.37/0.56 (assume @p2 true) % 0.37/0.56 (step @p3 :rule bool-double-not-elim :args (@t17)) % 0.37/0.56 (step @p4 :rule exists-elim :args ((= (exists @t13 @t16) (not @t17)))) % 0.37/0.56 (step @p5 :rule refl :args (@t2)) % 0.37/0.56 (step @p6 :rule bool-and-de-morgan :args (@t5 @t4 true)) % 0.37/0.56 (step @p7 :rule bool-impl-elim :args (@t8 @t7)) % 0.37/0.56 (step @p8 :rule nary_cong :premises (@p7 @p6) :args ((and @t9 (not @t6)))) % 0.37/0.56 (step @p9 :rule bool-implies-de-morgan :args (@t9 @t6)) % 0.37/0.56 (step @p10 :rule trans :premises (@p9 @p8)) % 0.37/0.56 (step @p11 :rule nary_cong :premises (@p10 @p5) :args ((or (not @t10) @t2))) % 0.37/0.56 (step @p12 :rule bool-impl-elim :args (@t10 @t2)) % 0.37/0.56 (step @p13 :rule trans :premises (@p12 @p11)) % 0.37/0.56 (step @p14 :rule cong :premises (@p13) :args (@t12)) % 0.37/0.56 (step @p15 :rule cong :premises (@p14) :args (@t14)) % 0.37/0.56 (step @p16 :rule trans :premises (@p15 @p4)) % 0.37/0.56 (step @p17 :rule cong :premises (@p16) :args (@t15)) % 0.37/0.56 (step @p18 :rule trans :premises (@p17 @p3)) % 0.37/0.56 (step @p19 :rule eq_resolve :premises (@p1 @p18)) % 0.37/0.56 (step @p20 :rule instantiate :premises (@p19) :args ((@list @t26))) % 0.37/0.56 (step @p21 :rule skolemize :premises (@p20)) % 0.37/0.56 (step @p22 :rule instantiate :premises (@p19) :args ((@list @t21))) % 0.37/0.56 (step @p23 :rule skolemize :premises (@p22)) % 0.37/0.56 (step @p24 :rule cnf_or_neg :args (@t32 1)) % 0.37/0.56 (step @p25 :rule chain_m_resolution :premises (@p24 @p23) :args (@t33 @t34 @t35)) % 0.37/0.56 (step @p26 :rule bool-double-not-elim :args (@t27)) % 0.37/0.56 (step @p27 :rule refl :args (@t38)) % 0.37/0.56 (step @p28 :rule nary_cong :premises (@p27 @p26) :args ((or @t38 (not @t33)))) % 0.37/0.56 (step @p29 :rule cnf_or_neg :args (@t38 1)) % 0.37/0.56 (step @p30 :rule eq_resolve :premises (@p29 @p28)) % 0.37/0.56 (step @p31 :rule reordering :premises (@p30) :args ((or @t27 @t38))) % 0.37/0.56 (step @p32 :rule chain_m_resolution :premises (@p31 @p25) :args (@t38 @t34 (@list @t27))) % 0.37/0.56 (step @p33 :rule instantiate :premises (@p19) :args ((@list @t18))) % 0.37/0.56 (step @p34 :rule skolemize :premises (@p33)) % 0.37/0.56 (step @p35 :rule cnf_or_neg :args (@t39 1)) % 0.37/0.56 (step @p36 :rule chain_m_resolution :premises (@p35 @p34) :args (@t23 @t34 (@list @t39))) % 0.37/0.56 (step @p37 :rule bool-double-not-elim :args (@t22)) % 0.37/0.56 (step @p38 :rule refl :args (@t28)) % 0.37/0.56 (step @p39 :rule nary_cong :premises (@p38 @p37) :args ((or @t28 (not @t23)))) % 0.37/0.56 (step @p40 :rule cnf_or_neg :args (@t28 1)) % 0.37/0.56 (step @p41 :rule eq_resolve :premises (@p40 @p39)) % 0.37/0.56 (step @p42 :rule reordering :premises (@p41) :args ((or @t22 @t28))) % 0.37/0.56 (step @p43 :rule chain_m_resolution :premises (@p42 @p36) :args (@t28 @t34 (@list @t22))) % 0.37/0.56 (step @p44 :rule cnf_or_neg :args (@t32 0)) % 0.37/0.56 (step @p45 :rule chain_m_resolution :premises (@p44 @p23) :args ((not @t31) @t34 @t35)) % 0.37/0.56 (step @p46 :rule cnf_and_neg :args (@t31)) % 0.37/0.56 (step @p47 :rule chain_m_resolution :premises (@p46 @p45 @p43) :args ((not @t30) (@list true false) (@list @t31 @t28))) % 0.37/0.56 (step @p48 :rule cnf_or_neg :args (@t30 1)) % 0.37/0.56 (step @p49 :rule chain_m_resolution :premises (@p48 @p47) :args (@t36 @t34 (@list @t30))) % 0.37/0.56 (step @p50 :rule bool-double-not-elim :args (@t29)) % 0.37/0.56 (step @p51 :rule refl :args (@t40)) % 0.37/0.56 (step @p52 :rule nary_cong :premises (@p51 @p50) :args ((or @t40 (not @t36)))) % 0.37/0.56 (step @p53 :rule cnf_or_neg :args (@t40 0)) % 0.37/0.56 (step @p54 :rule eq_resolve :premises (@p53 @p52)) % 0.37/0.56 (step @p55 :rule reordering :premises (@p54) :args ((or @t29 @t40))) % 0.37/0.56 (step @p56 :rule chain_m_resolution :premises (@p55 @p49) :args (@t40 @t34 (@list @t29))) % 0.37/0.56 (step @p57 :rule cnf_and_neg :args (@t41)) % 0.37/0.56 (step @p58 :rule chain_m_resolution :premises (@p57 @p56 @p32) :args (@t41 (@list false false) (@list @t40 @t38))) % 0.37/0.56 (step @p59 :rule cnf_or_neg :args (@t42 0)) % 0.37/0.56 (step @p60 false :rule chain_m_resolution :premises (@p59 @p58 @p21) :args (false (@list false true) (@list @t41 @t42))) % 0.37/0.56 ) % 0.37/0.56 % SZS output end Proof % 0.37/0.56 % cvc5 exiting %------------------------------------------------------------------------------