%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYN413+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 : n012.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 09:08:49 AM UTC 2026 % Result : Theorem 0.16s 0.36s % Output : Proof 0.16s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.06 % Problem : SYN413+1 : TPTP v9.2.1. Released v2.0.0. % 0.00/0.07 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.08/0.25 % Computer : n012.cluster.edu % 0.08/0.25 % Model : x86_64 x86_64 % 0.08/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.08/0.25 % Memory : 8042.1875MB % 0.08/0.25 % OS : Linux 3.10.0-693.el7.x86_64 % 0.08/0.25 % CPULimit : 300 % 0.08/0.25 % WCLimit : 300 % 0.08/0.25 % DateTime : Tue Jun 2 23:27:18 EDT 2026 % 0.08/0.25 % CPUTime : % 0.08/0.32 %----Proving TF0_NAR, FOF, or CNF % 0.16/0.36 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.16/0.36 % SZS status Theorem % 0.16/0.36 % SZS output start Proof % 0.16/0.36 ( % 0.16/0.36 (declare-sort $$unsorted 0) % 0.16/0.36 (declare-const tptp.f (-> $$unsorted $$unsorted Bool)) % 0.16/0.36 (define @t1 () (@var "V" $$unsorted)) % 0.16/0.36 (define @t2 () (@var "U" $$unsorted)) % 0.16/0.36 (define @t3 () (@list @t2)) % 0.16/0.36 (define @t4 () (forall @t3 (tptp.f @t2 @t1))) % 0.16/0.36 (define @t5 () (@list @t1)) % 0.16/0.36 (define @t6 () (exists @t5 @t4)) % 0.16/0.36 (define @t7 () (not @t6)) % 0.16/0.36 (define @t8 () (@var "X" $$unsorted)) % 0.16/0.36 (define @t9 () (not (tptp.f @t8 @t8))) % 0.16/0.36 (define @t10 () (@var "Z" $$unsorted)) % 0.16/0.36 (define @t11 () (@var "Y" $$unsorted)) % 0.16/0.36 (define @t12 () (tptp.f @t8 @t11)) % 0.16/0.36 (define @t13 () (@list @t8)) % 0.16/0.36 (define @t14 () (forall @t13 (= @t12 (and (tptp.f @t8 @t10) @t9)))) % 0.16/0.36 (define @t15 () (@list @t11)) % 0.16/0.36 (define @t16 () (exists @t15 @t14)) % 0.16/0.36 (define @t17 () (forall (@list @t10) @t16)) % 0.16/0.36 (define @t18 () (=> @t17 @t7)) % 0.16/0.36 (define @t19 () (not @t18)) % 0.16/0.36 (define @t20 () (forall @t5 (not @t4))) % 0.16/0.36 (define @t21 () (not @t20)) % 0.16/0.36 (define @t22 () (@quantifiers_skolemize @t20 0)) % 0.16/0.36 (define @t23 () (and (tptp.f @t8 @t22) @t9)) % 0.16/0.36 (define @t24 () (forall @t15 (not (forall @t13 (= @t12 @t23))))) % 0.16/0.36 (define @t25 () (@quantifiers_skolemize @t24 0)) % 0.16/0.36 (define @t26 () (tptp.f @t8 @t25)) % 0.16/0.36 (define @t27 () (forall @t13 (= @t23 @t26))) % 0.16/0.36 (define @t28 () (not @t24)) % 0.16/0.36 (define @t29 () (forall @t13 (= @t26 @t23))) % 0.16/0.36 (define @t30 () (not (not @t29))) % 0.16/0.36 (define @t31 () (@list true)) % 0.16/0.36 (define @t32 () (tptp.f @t25 @t25)) % 0.16/0.36 (define @t33 () (not @t32)) % 0.16/0.36 (define @t34 () (tptp.f @t25 @t22)) % 0.16/0.36 (define @t35 () (and @t34 @t33)) % 0.16/0.36 (define @t36 () (= @t35 @t32)) % 0.16/0.36 (define @t37 () (@list @t25)) % 0.16/0.36 (define @t38 () (= @t32 @t35)) % 0.16/0.36 (define @t39 () (@list false)) % 0.16/0.36 (define @t40 () (not @t38)) % 0.16/0.36 (define @t41 () (forall @t3 (tptp.f @t2 @t22))) % 0.16/0.36 (define @t42 () (not (not @t41))) % 0.16/0.36 (define @t43 () (not @t34)) % 0.16/0.36 (define @t44 () (not @t35)) % 0.16/0.36 (assume @p1 @t19) % 0.16/0.36 (assume @p2 true) % 0.16/0.36 (step @p3 :rule bool-double-not-elim :args (@t20)) % 0.16/0.36 (step @p4 :rule exists-elim :args ((= @t6 @t21))) % 0.16/0.36 (step @p5 :rule cong :premises (@p4) :args (@t7)) % 0.16/0.36 (step @p6 :rule trans :premises (@p5 @p3)) % 0.16/0.36 (step @p7 :rule exists-elim :args ((= @t16 (not (forall @t15 (not @t14)))))) % 0.16/0.36 (step @p8 :rule cong :premises (@p7) :args (@t17)) % 0.16/0.36 (step @p9 :rule cong :premises (@p8 @p6) :args (@t18)) % 0.16/0.36 (step @p10 :rule cong :premises (@p9) :args (@t19)) % 0.16/0.36 (step @p11 :rule eq_resolve :premises (@p1 @p10)) % 0.16/0.36 (step @p12 :rule not_implies_elim1 :premises (@p11)) % 0.16/0.36 (step @p13 :rule instantiate :premises (@p12) :args ((@list @t22))) % 0.16/0.36 (step @p14 :rule refl :args (@t27)) % 0.16/0.36 (step @p15 :rule bool-double-not-elim :args (@t24)) % 0.16/0.36 (step @p16 :rule nary_cong :premises (@p15 @p14) :args ((or (not @t28) @t27))) % 0.16/0.36 (step @p17 :rule eq-symm :args (@t26 @t23)) % 0.16/0.36 (step @p18 :rule cong :premises (@p17) :args (@t29)) % 0.16/0.36 (step @p19 :rule bool-double-not-elim :args (@t29)) % 0.16/0.36 (step @p20 :rule trans :premises (@p19 @p18)) % 0.16/0.36 (step @p21 :rule refl :args (@t28)) % 0.16/0.36 (step @p22 :rule cong :premises (@p21 @p20) :args ((=> @t28 @t30))) % 0.16/0.36 (assume-push @p71 @t28) % 0.16/0.36 (step @p24 :rule skolemize :premises (@p13)) % 0.16/0.36 (step-pop @p72 :rule scope :premises (@p24)) % 0.16/0.36 (step @p25 :rule process_scope :premises (@p72) :args (@t30)) % 0.16/0.36 (step @p27 :rule eq_resolve :premises (@p25 @p22)) % 0.16/0.36 (step @p28 :rule implies_elim :premises (@p27)) % 0.16/0.36 (step @p29 :rule eq_resolve :premises (@p28 @p16)) % 0.16/0.36 (step @p30 :rule chain_m_resolution :premises (@p29 @p13) :args (@t27 @t31 (@list @t24))) % 0.16/0.36 (step @p31 :rule eq-symm :args (@t35 @t32)) % 0.16/0.36 (step @p32 :rule cong :premises (@p14 @p31) :args ((=> @t27 @t36))) % 0.16/0.36 (assume-push @p73 @t27) % 0.16/0.36 (step @p34 :rule instantiate :premises (@p30) :args (@t37)) % 0.16/0.36 (step-pop @p74 :rule scope :premises (@p34)) % 0.16/0.36 (step @p35 :rule process_scope :premises (@p74) :args (@t36)) % 0.16/0.36 (step @p37 :rule eq_resolve :premises (@p35 @p32)) % 0.16/0.36 (step @p38 :rule implies_elim :premises (@p37)) % 0.16/0.36 (step @p39 :rule chain_m_resolution :premises (@p38 @p30) :args (@t38 @t39 (@list @t27))) % 0.16/0.36 (step @p40 :rule cnf_equiv_pos1 :args (@t38)) % 0.16/0.36 (step @p41 :rule reordering :premises (@p40) :args ((or @t33 @t35 @t40))) % 0.16/0.36 (step @p42 :rule not_implies_elim2 :premises (@p11)) % 0.16/0.36 (step @p43 :rule refl :args (@t41)) % 0.16/0.36 (step @p44 :rule nary_cong :premises (@p3 @p43) :args ((or (not @t21) @t41))) % 0.16/0.36 (step @p45 :rule bool-double-not-elim :args (@t41)) % 0.16/0.36 (step @p46 :rule refl :args (@t21)) % 0.16/0.36 (step @p47 :rule cong :premises (@p46 @p45) :args ((=> @t21 @t42))) % 0.16/0.36 (assume-push @p75 @t21) % 0.16/0.36 (step @p49 :rule skolemize :premises (@p42)) % 0.16/0.36 (step-pop @p76 :rule scope :premises (@p49)) % 0.16/0.36 (step @p50 :rule process_scope :premises (@p76) :args (@t42)) % 0.16/0.36 (step @p52 :rule eq_resolve :premises (@p50 @p47)) % 0.16/0.36 (step @p53 :rule implies_elim :premises (@p52)) % 0.16/0.36 (step @p54 :rule eq_resolve :premises (@p53 @p44)) % 0.16/0.36 (step @p55 :rule chain_m_resolution :premises (@p54 @p42) :args (@t41 @t31 (@list @t20))) % 0.16/0.36 (step @p56 :rule instantiate :premises (@p55) :args (@t37)) % 0.16/0.36 (step @p57 :rule bool-double-not-elim :args (@t32)) % 0.16/0.36 (step @p58 :rule refl :args (@t43)) % 0.16/0.36 (step @p59 :rule refl :args (@t35)) % 0.16/0.36 (step @p60 :rule nary_cong :premises (@p59 @p58 @p57) :args ((or @t35 @t43 (not @t33)))) % 0.16/0.36 (step @p61 :rule cnf_and_neg :args (@t35)) % 0.16/0.36 (step @p62 :rule eq_resolve :premises (@p61 @p60)) % 0.16/0.36 (step @p63 :rule reordering :premises (@p62) :args ((or @t32 @t35 @t43))) % 0.16/0.36 (step @p64 :rule chain_m_resolution :premises (@p63 @p56 @p41 @p39) :args (@t35 (@list false true false) (@list @t34 @t32 @t38))) % 0.16/0.36 (step @p65 :rule cnf_and_pos :args (@t35 1)) % 0.16/0.36 (step @p66 :rule reordering :premises (@p65) :args ((or @t33 @t44))) % 0.16/0.36 (step @p67 :rule chain_m_resolution :premises (@p66 @p64) :args (@t33 @t39 (@list @t35))) % 0.16/0.36 (step @p68 :rule cnf_equiv_pos2 :args (@t38)) % 0.16/0.36 (step @p69 :rule reordering :premises (@p68) :args ((or @t32 @t44 @t40))) % 0.16/0.36 (step @p70 false :rule chain_m_resolution :premises (@p69 @p67 @p64 @p39) :args (false (@list true false false) (@list @t32 @t35 @t38))) % 0.16/0.36 ) % 0.16/0.36 % SZS output end Proof % 0.16/0.36 % cvc5 exiting %------------------------------------------------------------------------------