%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : KLE003+1 : TPTP v9.2.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/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 0.56s % Output : Proof 0.36s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : KLE003+1 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n008.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 05:09:33 EDT 2026 % 0.17/0.34 % CPUTime : % 0.27/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.36/0.56 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.36/0.56 % SZS status Theorem % 0.36/0.56 % SZS output start Proof % 0.36/0.56 ( % 0.36/0.56 (declare-sort $$unsorted 0) % 0.36/0.56 (declare-const tptp.multiplication (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.56 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 0.36/0.56 (declare-const tptp.zero $$unsorted) % 0.36/0.56 (declare-const tptp.one $$unsorted) % 0.36/0.56 (declare-const tptp.addition (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.56 (define @t1 () (@var "A" $$unsorted)) % 0.36/0.56 (define @t2 () (@var "B" $$unsorted)) % 0.36/0.56 (define @t3 () (tptp.addition @t1 @t2)) % 0.36/0.56 (define @t4 () (@list @t1 @t2)) % 0.36/0.56 (define @t5 () (@var "C" $$unsorted)) % 0.36/0.56 (define @t6 () (tptp.addition @t2 @t5)) % 0.36/0.56 (define @t7 () (@list @t1)) % 0.36/0.56 (define @t8 () (tptp.addition @t1 @t1)) % 0.36/0.56 (define @t9 () (forall @t7 (= @t8 @t1))) % 0.36/0.56 (define @t10 () (tptp.multiplication @t1 @t2)) % 0.36/0.56 (define @t11 () (tptp.multiplication @t2 @t5)) % 0.36/0.56 (define @t12 () (@list @t1 @t2 @t5)) % 0.36/0.56 (define @t13 () (tptp.multiplication @t1 @t5)) % 0.36/0.56 (define @t14 () (tptp.addition tptp.one tptp.one)) % 0.36/0.56 (define @t15 () (@var "X0" $$unsorted)) % 0.36/0.56 (define @t16 () (tptp.addition @t15 @t15)) % 0.36/0.56 (define @t17 () (@list @t15)) % 0.36/0.56 (define @t18 () (forall @t17 (= @t16 @t15))) % 0.36/0.56 (define @t19 () (= @t18 (= @t14 tptp.one))) % 0.36/0.56 (define @t20 () (not @t19)) % 0.36/0.56 (define @t21 () (forall @t7 (= @t1 @t8))) % 0.36/0.56 (define @t22 () (not @t21)) % 0.36/0.56 (define @t23 () (forall @t17 (= @t15 @t16))) % 0.36/0.56 (define @t24 () (@list false)) % 0.36/0.56 (define @t25 () (= tptp.one @t14)) % 0.36/0.56 (assume @p1 (forall @t4 (= @t3 (tptp.addition @t2 @t1)))) % 0.36/0.56 (assume @p2 (forall (@list @t5 @t2 @t1) (= (tptp.addition @t1 @t6) (tptp.addition @t3 @t5)))) % 0.36/0.56 (assume @p3 (forall @t7 (= (tptp.addition @t1 tptp.zero) @t1))) % 0.36/0.56 (assume @p4 @t9) % 0.36/0.56 (assume @p5 (forall @t12 (= (tptp.multiplication @t1 @t11) (tptp.multiplication @t10 @t5)))) % 0.36/0.56 (assume @p6 (forall @t7 (= (tptp.multiplication @t1 tptp.one) @t1))) % 0.36/0.56 (assume @p7 (forall @t7 (= (tptp.multiplication tptp.one @t1) @t1))) % 0.36/0.56 (assume @p8 (forall @t12 (= (tptp.multiplication @t1 @t6) (tptp.addition @t10 @t13)))) % 0.36/0.56 (assume @p9 (forall @t12 (= (tptp.multiplication @t3 @t5) (tptp.addition @t13 @t11)))) % 0.36/0.56 (assume @p10 (forall @t7 (= (tptp.multiplication @t1 tptp.zero) tptp.zero))) % 0.36/0.56 (assume @p11 (forall @t7 (= (tptp.multiplication tptp.zero @t1) tptp.zero))) % 0.36/0.56 (assume @p12 (forall @t4 (= (tptp.leq @t1 @t2) (= @t3 @t2)))) % 0.36/0.56 (assume @p13 @t20) % 0.36/0.56 (assume @p14 true) % 0.36/0.56 (step @p15 :rule eq-symm :args (@t8 @t1)) % 0.36/0.56 (step @p16 :rule cong :premises (@p15) :args (@t9)) % 0.36/0.56 (step @p17 :rule eq_resolve :premises (@p4 @p16)) % 0.36/0.56 (step @p18 :rule alpha_equiv :args (@t21 (@list @t1) (@list @t15))) % 0.36/0.56 (step @p19 :rule equiv_elim1 :premises (@p18)) % 0.36/0.56 (step @p20 :rule reordering :premises (@p19) :args ((or @t23 @t22))) % 0.36/0.56 (step @p21 :rule chain_m_resolution :premises (@p20 @p17) :args (@t23 @t24 (@list @t21))) % 0.36/0.56 (step @p22 :rule eq-symm :args (@t14 tptp.one)) % 0.36/0.56 (step @p23 :rule eq-symm :args (@t16 @t15)) % 0.36/0.56 (step @p24 :rule cong :premises (@p23) :args (@t18)) % 0.36/0.56 (step @p25 :rule cong :premises (@p24 @p22) :args (@t19)) % 0.36/0.56 (step @p26 :rule cong :premises (@p25) :args (@t20)) % 0.36/0.56 (step @p27 :rule eq_resolve :premises (@p13 @p26)) % 0.36/0.56 (step @p28 :rule not_equiv_elim2 :premises (@p27)) % 0.36/0.56 (step @p29 :rule chain_m_resolution :premises (@p28 @p21) :args ((not @t25) @t24 (@list @t23))) % 0.36/0.56 (assume-push @p37 @t21) % 0.36/0.56 (step @p31 :rule instantiate :premises (@p17) :args ((@list tptp.one))) % 0.36/0.56 (step-pop @p38 :rule scope :premises (@p31)) % 0.36/0.56 (step @p32 :rule process_scope :premises (@p38) :args (@t25)) % 0.36/0.56 (step @p34 :rule implies_elim :premises (@p32)) % 0.36/0.56 (step @p35 :rule reordering :premises (@p34) :args ((or @t25 @t22))) % 0.36/0.56 (step @p36 false :rule chain_m_resolution :premises (@p35 @p29 @p17) :args (false (@list true false) (@list @t25 @t21))) % 0.36/0.56 ) % 0.36/0.56 % SZS output end Proof % 0.36/0.56 % cvc5 exiting %------------------------------------------------------------------------------