%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYN366+1 : TPTP v9.2.1. Released v2.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n004.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 09:08:42 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 % 0.11/0.13 % Problem : SYN366+1 : TPTP v9.2.1. Released v2.0.0. % 0.11/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.35 % Computer : n004.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 23:25:07 EDT 2026 % 0.17/0.35 % CPUTime : % 0.26/0.50 %----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 $$unsorted 0) % 0.37/0.56 (declare-const tptp.big_r (-> $$unsorted $$unsorted Bool)) % 0.37/0.56 (define @t1 () (@var "Y" $$unsorted)) % 0.37/0.56 (define @t2 () (forall (@list @t1) (tptp.big_r @t1 @t1))) % 0.37/0.56 (define @t3 () (@var "X" $$unsorted)) % 0.37/0.56 (define @t4 () (tptp.big_r @t3 @t3)) % 0.37/0.56 (define @t5 () (@list @t3)) % 0.37/0.56 (define @t6 () (exists @t5 @t4)) % 0.37/0.56 (define @t7 () (=> @t6 @t2)) % 0.37/0.56 (define @t8 () (@var "W" $$unsorted)) % 0.37/0.56 (define @t9 () (@var "Z" $$unsorted)) % 0.37/0.56 (define @t10 () (@var "V" $$unsorted)) % 0.37/0.56 (define @t11 () (@var "U" $$unsorted)) % 0.37/0.56 (define @t12 () (forall (@list @t11 @t10) (= (tptp.big_r @t11 @t11) (tptp.big_r @t11 @t10)))) % 0.37/0.56 (define @t13 () (and @t12 (forall (@list @t8 @t9) (= (tptp.big_r @t8 @t8) (tptp.big_r @t9 @t8))))) % 0.37/0.56 (define @t14 () (=> @t13 @t7)) % 0.37/0.56 (define @t15 () (not @t14)) % 0.37/0.56 (define @t16 () (forall @t5 (not @t4))) % 0.37/0.56 (define @t17 () (not @t16)) % 0.37/0.56 (define @t18 () (@quantifiers_skolemize @t2 0)) % 0.37/0.56 (define @t19 () (@quantifiers_skolemize @t16 0)) % 0.37/0.56 (define @t20 () (tptp.big_r @t19 @t19)) % 0.37/0.56 (define @t21 () (not @t20)) % 0.37/0.56 (define @t22 () (not @t21)) % 0.37/0.56 (define @t23 () (tptp.big_r @t18 @t19)) % 0.37/0.56 (define @t24 () (= @t20 @t23)) % 0.37/0.56 (define @t25 () (tptp.big_r @t18 @t18)) % 0.37/0.56 (define @t26 () (= @t25 @t23)) % 0.37/0.56 (define @t27 () (not @t26)) % 0.37/0.56 (define @t28 () (@list true false)) % 0.37/0.56 (assume @p1 @t15) % 0.37/0.56 (assume @p2 true) % 0.37/0.56 (step @p3 :rule refl :args (@t2)) % 0.37/0.56 (step @p4 :rule exists-elim :args ((= @t6 @t17))) % 0.37/0.56 (step @p5 :rule cong :premises (@p4 @p3) :args (@t7)) % 0.37/0.56 (step @p6 :rule refl :args (@t13)) % 0.37/0.56 (step @p7 :rule cong :premises (@p6 @p5) :args (@t14)) % 0.37/0.56 (step @p8 :rule cong :premises (@p7) :args (@t15)) % 0.37/0.56 (step @p9 :rule eq_resolve :premises (@p1 @p8)) % 0.37/0.56 (step @p10 :rule not_implies_elim1 :premises (@p9)) % 0.37/0.56 (step @p11 :rule and_elim :premises (@p10) :args (0)) % 0.37/0.56 (step @p12 :rule and_elim :premises (@p10) :args (1)) % 0.37/0.56 (step @p13 :rule instantiate :premises (@p12) :args ((@list @t19 @t18))) % 0.37/0.56 (step @p14 :rule not_implies_elim2 :premises (@p9)) % 0.37/0.56 (step @p15 :rule not_implies_elim1 :premises (@p14)) % 0.37/0.56 (step @p16 :rule refl :args (@t20)) % 0.37/0.56 (step @p17 :rule bool-double-not-elim :args (@t16)) % 0.37/0.56 (step @p18 :rule nary_cong :premises (@p17 @p16) :args ((or (not @t17) @t20))) % 0.37/0.56 (step @p19 :rule bool-double-not-elim :args (@t20)) % 0.37/0.56 (step @p20 :rule refl :args (@t17)) % 0.37/0.56 (step @p21 :rule cong :premises (@p20 @p19) :args ((=> @t17 @t22))) % 0.37/0.56 (assume-push @p44 @t17) % 0.37/0.56 (step @p23 :rule skolemize :premises (@p15)) % 0.37/0.56 (step-pop @p45 :rule scope :premises (@p23)) % 0.37/0.56 (step @p24 :rule process_scope :premises (@p45) :args (@t22)) % 0.37/0.56 (step @p26 :rule eq_resolve :premises (@p24 @p21)) % 0.37/0.56 (step @p27 :rule implies_elim :premises (@p26)) % 0.37/0.56 (step @p28 :rule eq_resolve :premises (@p27 @p18)) % 0.37/0.56 (step @p29 :rule chain_m_resolution :premises (@p28 @p15) :args (@t20 (@list true) (@list @t16))) % 0.37/0.56 (step @p30 :rule cnf_equiv_pos1 :args (@t24)) % 0.37/0.56 (step @p31 :rule reordering :premises (@p30) :args ((or @t21 @t23 (not @t24)))) % 0.37/0.56 (step @p32 :rule chain_m_resolution :premises (@p31 @p29 @p13) :args (@t23 (@list false false) (@list @t20 @t24))) % 0.37/0.56 (step @p33 :rule not_implies_elim2 :premises (@p14)) % 0.37/0.56 (step @p34 :rule skolemize :premises (@p33)) % 0.37/0.56 (step @p35 :rule cnf_equiv_pos2 :args (@t26)) % 0.37/0.56 (step @p36 :rule reordering :premises (@p35) :args ((or @t25 (not @t23) @t27))) % 0.37/0.56 (step @p37 :rule chain_m_resolution :premises (@p36 @p34 @p32) :args (@t27 @t28 (@list @t25 @t23))) % 0.37/0.56 (assume-push @p46 @t12) % 0.37/0.56 (step @p39 :rule instantiate :premises (@p11) :args ((@list @t18 @t19))) % 0.37/0.56 (step-pop @p47 :rule scope :premises (@p39)) % 0.37/0.56 (step @p40 :rule process_scope :premises (@p47) :args (@t26)) % 0.37/0.56 (step @p42 :rule implies_elim :premises (@p40)) % 0.37/0.56 (step @p43 false :rule chain_m_resolution :premises (@p42 @p37 @p11) :args (false @t28 (@list @t26 @t12))) % 0.37/0.56 ) % 0.37/0.56 % SZS output end Proof % 0.37/0.56 % cvc5 exiting %------------------------------------------------------------------------------