%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : KLE001+1 : TPTP v9.2.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n008.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 08:28:02 AM UTC 2026 % Result : Theorem 0.36s 0.57s % Output : Proof 0.36s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.13 % Problem : KLE001+1 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n008.cluster.edu % 0.17/0.35 % Model : x86_64 x86_64 % 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.35 % Memory : 8042.1875MB % 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Tue Jun 2 05:09:18 EDT 2026 % 0.17/0.36 % CPUTime : % 0.27/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.36/0.57 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.36/0.57 % SZS status Theorem % 0.36/0.57 % SZS output start Proof % 0.36/0.57 ( % 0.36/0.57 (declare-sort $$unsorted 0) % 0.36/0.57 (declare-const tptp.multiplication (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.57 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 0.36/0.57 (declare-const tptp.zero $$unsorted) % 0.36/0.57 (declare-const tptp.one $$unsorted) % 0.36/0.57 (declare-const tptp.addition (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.57 (define @t1 () (@var "A" $$unsorted)) % 0.36/0.57 (define @t2 () (@var "B" $$unsorted)) % 0.36/0.57 (define @t3 () (tptp.addition @t1 @t2)) % 0.36/0.57 (define @t4 () (@list @t1 @t2)) % 0.36/0.57 (define @t5 () (@var "C" $$unsorted)) % 0.36/0.57 (define @t6 () (tptp.addition @t2 @t5)) % 0.36/0.57 (define @t7 () (@list @t1)) % 0.36/0.57 (define @t8 () (tptp.addition @t1 @t1)) % 0.36/0.57 (define @t9 () (forall @t7 (= @t8 @t1))) % 0.36/0.57 (define @t10 () (tptp.multiplication @t1 @t2)) % 0.36/0.57 (define @t11 () (tptp.multiplication @t2 @t5)) % 0.36/0.57 (define @t12 () (@list @t1 @t2 @t5)) % 0.36/0.57 (define @t13 () (tptp.multiplication @t1 @t5)) % 0.36/0.57 (define @t14 () (tptp.leq @t1 @t2)) % 0.36/0.57 (define @t15 () (= @t14 (= @t3 @t2))) % 0.36/0.57 (define @t16 () (forall @t4 @t15)) % 0.36/0.57 (define @t17 () (@var "X2" $$unsorted)) % 0.36/0.57 (define @t18 () (@var "X0" $$unsorted)) % 0.36/0.57 (define @t19 () (tptp.addition @t18 @t17)) % 0.36/0.57 (define @t20 () (tptp.leq @t19 @t19)) % 0.36/0.57 (define @t21 () (@var "X1" $$unsorted)) % 0.36/0.57 (define @t22 () (tptp.leq @t18 @t21)) % 0.36/0.57 (define @t23 () (@list @t18 @t21 @t17)) % 0.36/0.57 (define @t24 () (forall @t23 (=> @t22 @t20))) % 0.36/0.57 (define @t25 () (not @t24)) % 0.36/0.57 (define @t26 () (forall @t23 (or (not @t22) @t20))) % 0.36/0.57 (define @t27 () (@quantifiers_skolemize @t26 0)) % 0.36/0.57 (define @t28 () (tptp.addition @t27 (@quantifiers_skolemize @t26 2))) % 0.36/0.57 (define @t29 () (tptp.leq @t28 @t28)) % 0.36/0.57 (define @t30 () (or (not (tptp.leq @t27 (@quantifiers_skolemize @t26 1))) @t29)) % 0.36/0.57 (define @t31 () (= @t28 (tptp.addition @t28 @t28))) % 0.36/0.57 (define @t32 () (= @t29 @t31)) % 0.36/0.57 (define @t33 () (not @t31)) % 0.36/0.57 (define @t34 () (@list true false)) % 0.36/0.57 (define @t35 () (forall @t7 (= @t1 @t8))) % 0.36/0.57 (assume @p1 (forall @t4 (= @t3 (tptp.addition @t2 @t1)))) % 0.36/0.57 (assume @p2 (forall (@list @t5 @t2 @t1) (= (tptp.addition @t1 @t6) (tptp.addition @t3 @t5)))) % 0.36/0.57 (assume @p3 (forall @t7 (= (tptp.addition @t1 tptp.zero) @t1))) % 0.36/0.57 (assume @p4 @t9) % 0.36/0.57 (assume @p5 (forall @t12 (= (tptp.multiplication @t1 @t11) (tptp.multiplication @t10 @t5)))) % 0.36/0.57 (assume @p6 (forall @t7 (= (tptp.multiplication @t1 tptp.one) @t1))) % 0.36/0.57 (assume @p7 (forall @t7 (= (tptp.multiplication tptp.one @t1) @t1))) % 0.36/0.57 (assume @p8 (forall @t12 (= (tptp.multiplication @t1 @t6) (tptp.addition @t10 @t13)))) % 0.36/0.57 (assume @p9 (forall @t12 (= (tptp.multiplication @t3 @t5) (tptp.addition @t13 @t11)))) % 0.36/0.57 (assume @p10 (forall @t7 (= (tptp.multiplication @t1 tptp.zero) tptp.zero))) % 0.36/0.57 (assume @p11 (forall @t7 (= (tptp.multiplication tptp.zero @t1) tptp.zero))) % 0.36/0.57 (assume @p12 @t16) % 0.36/0.57 (assume @p13 @t25) % 0.36/0.57 (assume @p14 true) % 0.36/0.57 (step @p15 :rule eq-symm :args (@t8 @t1)) % 0.36/0.57 (step @p16 :rule cong :premises (@p15) :args (@t9)) % 0.36/0.57 (step @p17 :rule eq_resolve :premises (@p4 @p16)) % 0.36/0.57 (step @p18 :rule eq-symm :args (@t3 @t2)) % 0.36/0.57 (step @p19 :rule refl :args (@t14)) % 0.36/0.57 (step @p20 :rule cong :premises (@p19 @p18) :args (@t15)) % 0.36/0.57 (step @p21 :rule cong :premises (@p20) :args (@t16)) % 0.36/0.57 (step @p22 :rule eq_resolve :premises (@p12 @p21)) % 0.36/0.57 (step @p23 :rule instantiate :premises (@p22) :args ((@list @t28 @t28))) % 0.36/0.57 (step @p24 :rule bool-impl-elim :args (@t22 @t20)) % 0.36/0.57 (step @p25 :rule cong :premises (@p24) :args (@t24)) % 0.36/0.57 (step @p26 :rule cong :premises (@p25) :args (@t25)) % 0.36/0.57 (step @p27 :rule eq_resolve :premises (@p13 @p26)) % 0.36/0.57 (step @p28 :rule skolemize :premises (@p27)) % 0.36/0.57 (step @p29 :rule cnf_or_neg :args (@t30 1)) % 0.36/0.57 (step @p30 :rule chain_m_resolution :premises (@p29 @p28) :args ((not @t29) (@list true) (@list @t30))) % 0.36/0.57 (step @p31 :rule cnf_equiv_pos2 :args (@t32)) % 0.36/0.57 (step @p32 :rule reordering :premises (@p31) :args ((or @t29 @t33 (not @t32)))) % 0.36/0.57 (step @p33 :rule chain_m_resolution :premises (@p32 @p30 @p23) :args (@t33 @t34 (@list @t29 @t32))) % 0.36/0.57 (assume-push @p40 @t35) % 0.36/0.57 (step @p35 :rule instantiate :premises (@p17) :args ((@list @t28))) % 0.36/0.57 (step-pop @p41 :rule scope :premises (@p35)) % 0.36/0.57 (step @p36 :rule process_scope :premises (@p41) :args (@t31)) % 0.36/0.57 (step @p38 :rule implies_elim :premises (@p36)) % 0.36/0.57 (step @p39 false :rule chain_m_resolution :premises (@p38 @p33 @p17) :args (false @t34 (@list @t31 @t35))) % 0.36/0.57 ) % 0.36/0.57 % SZS output end Proof % 0.36/0.57 % cvc5 exiting %------------------------------------------------------------------------------