%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYN082+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 09:08:02 AM UTC 2026 % Result : Theorem 0.33s 0.57s % Output : Proof 0.36s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.13/0.13 % Problem : SYN082+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 % 0.16/0.35 % Computer : n010.cluster.edu % 0.16/0.35 % Model : x86_64 x86_64 % 0.16/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.35 % Memory : 8042.1875MB % 0.16/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.35 % CPULimit : 300 % 0.16/0.35 % WCLimit : 300 % 0.16/0.35 % DateTime : Tue Jun 2 23:20:10 EDT 2026 % 0.16/0.35 % CPUTime : % 0.33/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.33/0.57 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.33/0.57 % SZS status Theorem % 0.33/0.57 % SZS output start Proof % 0.33/0.57 ( % 0.33/0.57 (declare-sort $$unsorted 0) % 0.33/0.57 (declare-const tptp.f (-> $$unsorted $$unsorted)) % 0.33/0.57 (declare-const tptp.big_f (-> $$unsorted $$unsorted Bool)) % 0.33/0.57 (define @t1 () (@var "Y" $$unsorted)) % 0.33/0.57 (define @t2 () (@var "X" $$unsorted)) % 0.33/0.57 (define @t3 () (tptp.big_f @t2 @t1)) % 0.33/0.57 (define @t4 () (tptp.f @t2)) % 0.33/0.57 (define @t5 () (@var "Z" $$unsorted)) % 0.33/0.57 (define @t6 () (tptp.big_f @t5 @t4)) % 0.33/0.57 (define @t7 () (tptp.big_f @t5 @t1)) % 0.33/0.57 (define @t8 () (@list @t5)) % 0.33/0.57 (define @t9 () (forall @t8 (=> @t7 @t6))) % 0.33/0.57 (define @t10 () (and @t9 @t3)) % 0.33/0.57 (define @t11 () (@list @t1)) % 0.33/0.57 (define @t12 () (exists @t11 @t10)) % 0.33/0.57 (define @t13 () (tptp.big_f @t2 @t4)) % 0.33/0.57 (define @t14 () (= @t13 @t12)) % 0.33/0.57 (define @t15 () (@list @t2)) % 0.33/0.57 (define @t16 () (forall @t15 @t14)) % 0.33/0.57 (define @t17 () (not @t16)) % 0.33/0.57 (define @t18 () (not @t7)) % 0.33/0.57 (define @t19 () (forall @t8 (or @t18 @t6))) % 0.33/0.57 (define @t20 () (and @t19 @t3)) % 0.33/0.57 (define @t21 () (forall @t11 (not @t20))) % 0.33/0.57 (define @t22 () (not @t21)) % 0.33/0.57 (define @t23 () (@quantifiers_skolemize (forall @t15 (= @t13 (not (forall @t11 (or (not @t19) (not @t3)))))) 0)) % 0.33/0.57 (define @t24 () (tptp.f @t23)) % 0.33/0.57 (define @t25 () (tptp.big_f @t5 @t24)) % 0.33/0.57 (define @t26 () (forall @t11 (or (not (forall @t8 (or @t18 @t25))) (not (tptp.big_f @t23 @t1))))) % 0.33/0.57 (define @t27 () (not @t26)) % 0.33/0.57 (define @t28 () (tptp.big_f @t23 @t24)) % 0.33/0.57 (define @t29 () (= @t28 @t27)) % 0.33/0.57 (define @t30 () (@quantifiers_skolemize @t26 0)) % 0.33/0.57 (define @t31 () (tptp.big_f @t23 @t30)) % 0.33/0.57 (define @t32 () (not @t31)) % 0.33/0.57 (define @t33 () (forall @t8 (or (not (tptp.big_f @t5 @t30)) @t25))) % 0.33/0.57 (define @t34 () (not @t33)) % 0.33/0.57 (define @t35 () (or @t34 @t32)) % 0.33/0.57 (define @t36 () (not @t35)) % 0.33/0.57 (define @t37 () (not @t27)) % 0.33/0.57 (define @t38 () (or @t32 @t28)) % 0.33/0.57 (define @t39 () (not @t28)) % 0.33/0.57 (define @t40 () (forall @t8 (or (not @t25) @t25))) % 0.33/0.57 (define @t41 () (not @t40)) % 0.33/0.57 (define @t42 () (or @t41 @t39)) % 0.33/0.57 (assume @p1 @t17) % 0.33/0.57 (assume @p2 true) % 0.33/0.57 (step @p3 :rule bool-and-de-morgan :args (@t19 @t3 true)) % 0.33/0.57 (step @p4 :rule cong :premises (@p3) :args (@t21)) % 0.33/0.57 (step @p5 :rule cong :premises (@p4) :args (@t22)) % 0.33/0.57 (step @p6 :rule exists-elim :args ((= (exists @t11 @t20) @t22))) % 0.33/0.57 (step @p7 :rule trans :premises (@p6 @p5)) % 0.33/0.57 (step @p8 :rule refl :args (@t3)) % 0.33/0.57 (step @p9 :rule bool-impl-elim :args (@t7 @t6)) % 0.33/0.57 (step @p10 :rule cong :premises (@p9) :args (@t9)) % 0.33/0.57 (step @p11 :rule nary_cong :premises (@p10 @p8) :args (@t10)) % 0.33/0.57 (step @p12 :rule cong :premises (@p11) :args (@t12)) % 0.33/0.57 (step @p13 :rule trans :premises (@p12 @p7)) % 0.33/0.57 (step @p14 :rule refl :args (@t13)) % 0.33/0.57 (step @p15 :rule cong :premises (@p14 @p13) :args (@t14)) % 0.33/0.57 (step @p16 :rule cong :premises (@p15) :args (@t16)) % 0.33/0.57 (step @p17 :rule cong :premises (@p16) :args (@t17)) % 0.33/0.57 (step @p18 :rule eq_resolve :premises (@p1 @p17)) % 0.33/0.57 (step @p19 :rule skolemize :premises (@p18)) % 0.33/0.57 (step @p20 :rule cnf_equiv_neg1 :args (@t29)) % 0.33/0.57 (step @p21 :rule reordering :premises (@p20) :args ((or @t28 @t27 @t29))) % 0.33/0.57 (step @p22 :rule refl :args (@t36)) % 0.33/0.57 (step @p23 :rule bool-double-not-elim :args (@t26)) % 0.33/0.57 (step @p24 :rule nary_cong :premises (@p23 @p22) :args ((or @t37 @t36))) % 0.33/0.57 (assume-push @p76 @t27) % 0.33/0.57 (step @p26 :rule skolemize :premises (@p76)) % 0.33/0.57 (step-pop @p77 :rule scope :premises (@p26)) % 0.33/0.57 (step @p27 :rule process_scope :premises (@p77) :args (@t36)) % 0.33/0.57 (step @p29 :rule implies_elim :premises (@p27)) % 0.33/0.57 (step @p30 :rule eq_resolve :premises (@p29 @p24)) % 0.33/0.57 (step @p31 :rule bool-double-not-elim :args (@t33)) % 0.33/0.57 (step @p32 :rule refl :args (@t35)) % 0.33/0.57 (step @p33 :rule nary_cong :premises (@p32 @p31) :args ((or @t35 (not @t34)))) % 0.33/0.57 (step @p34 :rule cnf_or_neg :args (@t35 0)) % 0.33/0.57 (step @p35 :rule eq_resolve :premises (@p34 @p33)) % 0.33/0.57 (step @p36 :rule reordering :premises (@p35) :args ((or @t33 @t35))) % 0.33/0.57 (step @p37 :rule bool-double-not-elim :args (@t31)) % 0.33/0.57 (step @p38 :rule nary_cong :premises (@p32 @p37) :args ((or @t35 (not @t32)))) % 0.33/0.57 (step @p39 :rule cnf_or_neg :args (@t35 1)) % 0.33/0.57 (step @p40 :rule eq_resolve :premises (@p39 @p38)) % 0.33/0.57 (step @p41 :rule reordering :premises (@p40) :args ((or @t31 @t35))) % 0.33/0.57 (step @p42 :rule cnf_or_pos :args (@t38)) % 0.33/0.57 (step @p43 :rule reordering :premises (@p42) :args ((or @t28 @t32 (not @t38)))) % 0.36/0.57 (assume-push @p78 @t33) % 0.36/0.57 (step @p45 :rule instantiate :premises (@p78) :args ((@list @t23))) % 0.36/0.57 (step-pop @p79 :rule scope :premises (@p45)) % 0.36/0.57 (step @p46 :rule process_scope :premises (@p79) :args (@t38)) % 0.36/0.57 (step @p48 :rule implies_elim :premises (@p46)) % 0.36/0.57 (step @p49 :rule chain_m_resolution :premises (@p48 @p43 @p41 @p36 @p30 @p21 @p19) :args (@t28 (@list true false false true true true) (@list @t38 @t31 @t33 @t35 @t26 @t29))) % 0.36/0.57 (step @p50 :rule refl :args (@t39)) % 0.36/0.57 (step @p51 :rule refl :args (@t29)) % 0.36/0.57 (step @p52 :rule nary_cong :premises (@p51 @p50 @p23) :args ((or @t29 @t39 @t37))) % 0.36/0.57 (step @p53 :rule cnf_equiv_neg2 :args (@t29)) % 0.36/0.57 (step @p54 :rule eq_resolve :premises (@p53 @p52)) % 0.36/0.57 (step @p55 :rule reordering :premises (@p54) :args ((or @t26 @t29 @t39))) % 0.36/0.57 (step @p56 :rule chain_m_resolution :premises (@p55 @p19 @p49) :args (@t26 (@list true false) (@list @t29 @t28))) % 0.36/0.57 (step @p57 :rule aci_norm :args ((= (or false @t39) @t39))) % 0.36/0.57 (step @p58 :rule evaluate :args ((not true))) % 0.36/0.57 (step @p59 :rule quant-unused-vars :args ((= (forall @t8 true) true))) % 0.36/0.57 (step @p60 :rule bool-or-taut2 :args (false @t25 false false)) % 0.36/0.57 (step @p61 :rule cong :premises (@p60) :args (@t40)) % 0.36/0.57 (step @p62 :rule trans :premises (@p61 @p59)) % 0.36/0.57 (step @p63 :rule cong :premises (@p62) :args (@t41)) % 0.36/0.57 (step @p64 :rule trans :premises (@p63 @p58)) % 0.36/0.57 (step @p65 :rule nary_cong :premises (@p64 @p50) :args (@t42)) % 0.36/0.57 (step @p66 :rule trans :premises (@p65 @p57)) % 0.36/0.57 (step @p67 :rule refl :args (@t26)) % 0.36/0.57 (step @p68 :rule cong :premises (@p67 @p66) :args ((=> @t26 @t42))) % 0.36/0.57 (assume-push @p80 @t26) % 0.36/0.57 (step @p70 :rule instantiate :premises (@p80) :args ((@list @t24))) % 0.36/0.57 (step-pop @p81 :rule scope :premises (@p70)) % 0.36/0.57 (step @p71 :rule process_scope :premises (@p81) :args (@t42)) % 0.36/0.57 (step @p73 :rule eq_resolve :premises (@p71 @p68)) % 0.36/0.57 (step @p74 :rule implies_elim :premises (@p73)) % 0.36/0.57 (step @p75 false :rule chain_m_resolution :premises (@p74 @p56 @p49) :args (false (@list false false) (@list @t26 @t28))) % 0.36/0.57 ) % 0.36/0.57 % SZS output end Proof % 0.36/0.57 % cvc5 exiting %------------------------------------------------------------------------------