%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYN727+1 : TPTP v9.2.1. Released v2.5.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n015.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 09:09:44 AM UTC 2026 % Result : Theorem 0.32s 0.57s % Output : Proof 0.32s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SYN727+1 : TPTP v9.2.1. Released v2.5.0. % 0.12/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.18/0.35 % Computer : n015.cluster.edu % 0.18/0.35 % Model : x86_64 x86_64 % 0.18/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.35 % Memory : 8042.1875MB % 0.18/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.35 % CPULimit : 300 % 0.18/0.35 % WCLimit : 300 % 0.18/0.35 % DateTime : Tue Jun 2 23:34:34 EDT 2026 % 0.18/0.35 % CPUTime : % 0.32/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.32/0.57 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.32/0.57 % SZS status Theorem % 0.32/0.57 % SZS output start Proof % 0.32/0.57 ( % 0.32/0.57 (declare-sort $$unsorted 0) % 0.32/0.57 (declare-const tptp.bruce $$unsorted) % 0.32/0.57 (declare-const tptp.lyle $$unsorted) % 0.32/0.57 (declare-const tptp.likes (-> $$unsorted $$unsorted Bool)) % 0.32/0.57 (define @t1 () (@var "V" $$unsorted)) % 0.32/0.57 (define @t2 () (@var "U" $$unsorted)) % 0.32/0.57 (define @t3 () (@list @t1)) % 0.32/0.57 (define @t4 () (forall @t3 (tptp.likes @t2 @t1))) % 0.32/0.57 (define @t5 () (@list @t2)) % 0.32/0.57 (define @t6 () (exists @t5 @t4)) % 0.32/0.57 (define @t7 () (@var "Y" $$unsorted)) % 0.32/0.57 (define @t8 () (tptp.likes tptp.lyle @t7)) % 0.32/0.57 (define @t9 () (@var "Z" $$unsorted)) % 0.32/0.57 (define @t10 () (tptp.likes @t7 @t9)) % 0.32/0.57 (define @t11 () (@list @t9)) % 0.32/0.57 (define @t12 () (exists @t11 @t10)) % 0.32/0.57 (define @t13 () (=> @t12 @t8)) % 0.32/0.57 (define @t14 () (@list @t7)) % 0.32/0.57 (define @t15 () (forall @t14 @t13)) % 0.32/0.57 (define @t16 () (@var "X" $$unsorted)) % 0.32/0.57 (define @t17 () (forall (@list @t16) (tptp.likes @t16 tptp.bruce))) % 0.32/0.57 (define @t18 () (and @t17 @t15)) % 0.32/0.57 (define @t19 () (=> @t18 @t6)) % 0.32/0.57 (define @t20 () (not @t19)) % 0.32/0.57 (define @t21 () (@var "BOUND_VARIABLE_7441" $$unsorted)) % 0.32/0.57 (define @t22 () (not (tptp.likes @t7 @t21))) % 0.32/0.57 (define @t23 () (or @t22 @t8)) % 0.32/0.57 (define @t24 () (forall (@list @t7 @t21) @t23)) % 0.32/0.57 (define @t25 () (@list @t21)) % 0.32/0.57 (define @t26 () (forall @t25 @t23)) % 0.32/0.57 (define @t27 () (forall @t25 @t22)) % 0.32/0.57 (define @t28 () (or @t27 @t8)) % 0.32/0.57 (define @t29 () (forall @t11 (not @t10))) % 0.32/0.57 (define @t30 () (not @t29)) % 0.32/0.57 (define @t31 () (@quantifiers_skolemize (forall @t3 (tptp.likes tptp.lyle @t1)) 0)) % 0.32/0.57 (define @t32 () (tptp.likes tptp.lyle @t31)) % 0.32/0.57 (define @t33 () (tptp.likes @t31 tptp.bruce)) % 0.32/0.57 (define @t34 () (not @t33)) % 0.32/0.57 (define @t35 () (or @t34 @t32)) % 0.32/0.57 (define @t36 () (not @t35)) % 0.32/0.57 (define @t37 () (@list true false)) % 0.32/0.57 (assume @p1 @t20) % 0.32/0.57 (assume @p2 true) % 0.32/0.57 (step @p3 :rule exists-elim :args ((= @t6 (not (forall @t5 (not @t4)))))) % 0.32/0.57 (step @p4 :rule quant-merge-prenex :args ((= (forall @t14 @t26) @t24))) % 0.32/0.57 (step @p5 :rule refl :args (@t8)) % 0.32/0.57 (step @p6 :rule alpha_equiv :args (@t27 (@list @t21) (@list @t9))) % 0.32/0.57 (step @p7 :rule nary_cong :premises (@p6 @p5) :args (@t28)) % 0.32/0.57 (step @p8 :rule quant-miniscope-or :args ((= @t26 @t28))) % 0.32/0.57 (step @p9 :rule trans :premises (@p8 @p7)) % 0.32/0.57 (step @p10 :rule symm :premises (@p9)) % 0.32/0.57 (step @p11 :rule cong :premises (@p10) :args ((forall @t14 (or @t29 @t8)))) % 0.32/0.57 (step @p12 :rule trans :premises (@p11 @p4)) % 0.32/0.57 (step @p13 :rule bool-double-not-elim :args (@t29)) % 0.32/0.57 (step @p14 :rule nary_cong :premises (@p13 @p5) :args ((or (not @t30) @t8))) % 0.32/0.57 (step @p15 :rule bool-impl-elim :args (@t30 @t8)) % 0.32/0.57 (step @p16 :rule trans :premises (@p15 @p14)) % 0.32/0.57 (step @p17 :rule cong :premises (@p16) :args ((forall @t14 (=> @t30 @t8)))) % 0.32/0.57 (step @p18 :rule trans :premises (@p17 @p12)) % 0.32/0.57 (step @p19 :rule refl :args (@t8)) % 0.32/0.57 (step @p20 :rule exists-elim :args ((= @t12 @t30))) % 0.32/0.57 (step @p21 :rule cong :premises (@p20 @p19) :args (@t13)) % 0.32/0.57 (step @p22 :rule cong :premises (@p21) :args (@t15)) % 0.32/0.57 (step @p23 :rule trans :premises (@p22 @p18)) % 0.32/0.57 (step @p24 :rule refl :args (@t17)) % 0.32/0.57 (step @p25 :rule nary_cong :premises (@p24 @p23) :args (@t18)) % 0.32/0.57 (step @p26 :rule cong :premises (@p25 @p3) :args (@t19)) % 0.32/0.57 (step @p27 :rule cong :premises (@p26) :args (@t20)) % 0.32/0.57 (step @p28 :rule eq_resolve :premises (@p1 @p27)) % 0.32/0.57 (step @p29 :rule not_implies_elim1 :premises (@p28)) % 0.32/0.57 (step @p30 :rule and_elim :premises (@p29) :args (1)) % 0.32/0.57 (step @p31 :rule and_elim :premises (@p29) :args (0)) % 0.32/0.57 (step @p32 :rule instantiate :premises (@p31) :args ((@list @t31))) % 0.32/0.57 (step @p33 :rule not_implies_elim2 :premises (@p28)) % 0.32/0.57 (step @p34 :rule not_not_elim :premises (@p33)) % 0.32/0.57 (step @p35 :rule instantiate :premises (@p34) :args ((@list tptp.lyle))) % 0.32/0.57 (step @p36 :rule skolemize :premises (@p35)) % 0.32/0.57 (step @p37 :rule cnf_or_pos :args (@t35)) % 0.32/0.57 (step @p38 :rule reordering :premises (@p37) :args ((or @t32 @t34 @t36))) % 0.32/0.57 (step @p39 :rule chain_m_resolution :premises (@p38 @p36 @p32) :args (@t36 @t37 (@list @t32 @t33))) % 0.32/0.57 (assume-push @p46 @t24) % 0.32/0.57 (step @p41 :rule instantiate :premises (@p30) :args ((@list @t31 tptp.bruce))) % 0.32/0.57 (step-pop @p47 :rule scope :premises (@p41)) % 0.32/0.57 (step @p42 :rule process_scope :premises (@p47) :args (@t35)) % 0.32/0.57 (step @p44 :rule implies_elim :premises (@p42)) % 0.32/0.57 (step @p45 false :rule chain_m_resolution :premises (@p44 @p39 @p30) :args (false @t37 (@list @t35 @t24))) % 0.32/0.57 ) % 0.32/0.57 % SZS output end Proof % 0.32/0.58 % cvc5 exiting 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