%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : KLE053+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 : n025.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 08:28:13 AM UTC 2026 % Result : Theorem 0.34s 16.09s % Output : Proof 0.34s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : KLE053+1 : TPTP v9.2.1. Released v4.0.0. % 0.13/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n025.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 05:11:31 EDT 2026 % 0.17/0.34 % CPUTime : % 0.31/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.34/16.09 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.34/16.09 --- Run --no-e-matching --full-saturate-quant at 6... % 0.34/16.09 % SZS status Theorem % 0.34/16.09 % SZS output start Proof % 0.34/16.09 ( % 0.34/16.09 (declare-sort $$unsorted 0) % 0.34/16.09 (declare-const tptp.domain (-> $$unsorted $$unsorted)) % 0.34/16.09 (declare-const tptp.multiplication (-> $$unsorted $$unsorted $$unsorted)) % 0.34/16.09 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 0.34/16.09 (declare-const tptp.zero $$unsorted) % 0.34/16.09 (declare-const tptp.one $$unsorted) % 0.34/16.09 (declare-const tptp.addition (-> $$unsorted $$unsorted $$unsorted)) % 0.34/16.09 (define @t1 () (@var "A" $$unsorted)) % 0.34/16.09 (define @t2 () (@var "B" $$unsorted)) % 0.34/16.09 (define @t3 () (tptp.addition @t1 @t2)) % 0.34/16.09 (define @t4 () (@list @t1 @t2)) % 0.34/16.09 (define @t5 () (@var "C" $$unsorted)) % 0.34/16.09 (define @t6 () (tptp.addition @t2 @t5)) % 0.34/16.09 (define @t7 () (tptp.addition @t1 tptp.zero)) % 0.34/16.09 (define @t8 () (@list @t1)) % 0.34/16.09 (define @t9 () (forall @t8 (= @t7 @t1))) % 0.34/16.09 (define @t10 () (tptp.multiplication @t1 @t2)) % 0.34/16.09 (define @t11 () (tptp.multiplication @t2 @t5)) % 0.34/16.09 (define @t12 () (@list @t1 @t2 @t5)) % 0.34/16.09 (define @t13 () (tptp.multiplication tptp.one @t1)) % 0.34/16.09 (define @t14 () (forall @t8 (= @t13 @t1))) % 0.34/16.09 (define @t15 () (tptp.multiplication @t1 @t5)) % 0.34/16.09 (define @t16 () (@var "X0" $$unsorted)) % 0.34/16.09 (define @t17 () (tptp.domain @t16)) % 0.34/16.09 (define @t18 () (tptp.multiplication @t17 @t16)) % 0.34/16.09 (define @t19 () (@list @t16)) % 0.34/16.09 (define @t20 () (@var "X1" $$unsorted)) % 0.34/16.09 (define @t21 () (tptp.domain @t20)) % 0.34/16.09 (define @t22 () (@list @t16 @t20)) % 0.34/16.09 (define @t23 () (forall @t22 (= (tptp.domain (tptp.multiplication @t16 @t20)) (tptp.domain (tptp.multiplication @t16 @t21))))) % 0.34/16.09 (define @t24 () (tptp.domain @t17)) % 0.34/16.09 (define @t25 () (forall @t19 (= @t24 @t17))) % 0.34/16.09 (define @t26 () (not @t25)) % 0.34/16.09 (define @t27 () (@quantifiers_skolemize (forall @t19 (= @t17 @t24)) 0)) % 0.34/16.09 (define @t28 () (tptp.domain @t27)) % 0.34/16.09 (define @t29 () (tptp.domain (tptp.multiplication tptp.one @t28))) % 0.34/16.09 (define @t30 () (@list @t27)) % 0.34/16.09 (define @t31 () (tptp.domain (tptp.multiplication tptp.one @t27))) % 0.34/16.09 (define @t32 () (= @t31 @t29)) % 0.34/16.09 (assume @p1 (forall @t4 (= @t3 (tptp.addition @t2 @t1)))) % 0.34/16.09 (assume @p2 (forall (@list @t5 @t2 @t1) (= (tptp.addition @t1 @t6) (tptp.addition @t3 @t5)))) % 0.34/16.09 (assume @p3 @t9) % 0.34/16.09 (assume @p4 (forall @t8 (= (tptp.addition @t1 @t1) @t1))) % 0.34/16.09 (assume @p5 (forall @t12 (= (tptp.multiplication @t1 @t11) (tptp.multiplication @t10 @t5)))) % 0.34/16.09 (assume @p6 (forall @t8 (= (tptp.multiplication @t1 tptp.one) @t1))) % 0.34/16.09 (assume @p7 @t14) % 0.34/16.09 (assume @p8 (forall @t12 (= (tptp.multiplication @t1 @t6) (tptp.addition @t10 @t15)))) % 0.34/16.09 (assume @p9 (forall @t12 (= (tptp.multiplication @t3 @t5) (tptp.addition @t15 @t11)))) % 0.34/16.09 (assume @p10 (forall @t8 (= (tptp.multiplication @t1 tptp.zero) tptp.zero))) % 0.34/16.09 (assume @p11 (forall @t8 (= (tptp.multiplication tptp.zero @t1) tptp.zero))) % 0.34/16.09 (assume @p12 (forall @t4 (= (tptp.leq @t1 @t2) (= @t3 @t2)))) % 0.34/16.09 (assume @p13 (forall @t19 (= (tptp.addition @t16 @t18) @t18))) % 0.34/16.09 (assume @p14 @t23) % 0.34/16.09 (assume @p15 (forall @t19 (= (tptp.addition @t17 tptp.one) tptp.one))) % 0.34/16.09 (assume @p16 (= (tptp.domain tptp.zero) tptp.zero)) % 0.34/16.09 (assume @p17 (forall @t22 (= (tptp.domain (tptp.addition @t16 @t20)) (tptp.addition @t17 @t21)))) % 0.34/16.09 (assume @p18 @t26) % 0.34/16.09 (assume @p19 true) % 0.34/16.09 (step @p20 :rule eq-symm :args (@t24 @t17)) % 0.34/16.09 (step @p21 :rule cong :premises (@p20) :args (@t25)) % 0.34/16.09 (step @p22 :rule cong :premises (@p21) :args (@t26)) % 0.34/16.09 (step @p23 :rule eq_resolve :premises (@p18 @p22)) % 0.34/16.09 (step @p24 :rule skolemize :premises (@p23)) % 0.34/16.09 (step @p25 :rule false_intro :premises (@p24)) % 0.34/16.09 (step @p26 :rule eq-symm :args (@t13 @t1)) % 0.34/16.09 (step @p27 :rule cong :premises (@p26) :args (@t14)) % 0.34/16.09 (step @p28 :rule eq_resolve :premises (@p7 @p27)) % 0.34/16.09 (step @p29 :rule instantiate :premises (@p28) :args ((@list @t28))) % 0.34/16.09 (step @p30 :rule symm :premises (@p29)) % 0.34/16.09 (step @p31 :rule cong :premises (@p30) :args (@t29)) % 0.34/16.09 (step @p32 :rule eq-symm :args (@t7 @t1)) % 0.34/16.09 (step @p33 :rule cong :premises (@p32) :args (@t9)) % 0.34/16.09 (step @p34 :rule eq_resolve :premises (@p3 @p33)) % 0.34/16.09 (step @p35 :rule instantiate :premises (@p34) :args (@t30)) % 0.34/16.09 (step @p36 :rule symm :premises (@p35)) % 0.34/16.09 (step @p37 :rule instantiate :premises (@p1) :args ((@list tptp.zero @t27))) % 0.34/16.09 (step @p38 :rule trans :premises (@p37 @p36)) % 0.34/16.09 (step @p39 :rule cong :premises (@p38) :args ((tptp.domain (tptp.addition tptp.zero @t27)))) % 0.34/16.09 (step @p40 :rule symm :premises (@p37)) % 0.34/16.09 (step @p41 :rule instantiate :premises (@p28) :args (@t30)) % 0.34/16.09 (step @p42 :rule symm :premises (@p41)) % 0.34/16.09 (step @p43 :rule trans :premises (@p42 @p35 @p40)) % 0.34/16.09 (step @p44 :rule cong :premises (@p43) :args (@t31)) % 0.34/16.09 (step @p45 :rule trans :premises (@p44 @p39)) % 0.34/16.09 (step @p46 :rule cong :premises (@p45 @p31) :args (@t32)) % 0.34/16.09 (step @p47 :rule trans :premises (@p46 @p25)) % 0.34/16.09 (step @p48 :rule false_elim :premises (@p47)) % 0.34/16.09 (assume-push @p55 @t23) % 0.34/16.09 (step @p50 :rule instantiate :premises (@p14) :args ((@list tptp.one @t27))) % 0.34/16.09 (step-pop @p56 :rule scope :premises (@p50)) % 0.34/16.09 (step @p51 :rule process_scope :premises (@p56) :args (@t32)) % 0.34/16.09 (step @p53 :rule implies_elim :premises (@p51)) % 0.34/16.09 (step @p54 false :rule chain_m_resolution :premises (@p53 @p48 @p14) :args (false (@list true false) (@list @t32 @t23))) % 0.34/16.09 ) % 0.34/16.09 % SZS output end Proof % 0.34/16.09 % cvc5 exiting %------------------------------------------------------------------------------