%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : KLE058+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 : n026.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 0.37s 0.57s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : KLE058+1 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.19/0.34 % Computer : n026.cluster.edu % 0.19/0.34 % Model : x86_64 x86_64 % 0.19/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.19/0.34 % Memory : 8042.1875MB % 0.19/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.19/0.35 % CPULimit : 300 % 0.19/0.35 % WCLimit : 300 % 0.19/0.35 % DateTime : Tue Jun 2 05:12:10 EDT 2026 % 0.19/0.35 % CPUTime : % 0.28/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.37/0.57 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.37/0.57 % SZS status Theorem % 0.37/0.57 % SZS output start Proof % 0.37/0.57 ( % 0.37/0.57 (declare-sort $$unsorted 0) % 0.37/0.57 (declare-const tptp.domain (-> $$unsorted $$unsorted)) % 0.37/0.57 (declare-const tptp.multiplication (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.57 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 0.37/0.57 (declare-const tptp.zero $$unsorted) % 0.37/0.57 (declare-const tptp.one $$unsorted) % 0.37/0.57 (declare-const tptp.addition (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.57 (define @t1 () (@var "A" $$unsorted)) % 0.37/0.57 (define @t2 () (@var "B" $$unsorted)) % 0.37/0.57 (define @t3 () (tptp.addition @t1 @t2)) % 0.37/0.57 (define @t4 () (@list @t1 @t2)) % 0.37/0.57 (define @t5 () (@var "C" $$unsorted)) % 0.37/0.57 (define @t6 () (tptp.addition @t2 @t5)) % 0.37/0.57 (define @t7 () (@list @t1)) % 0.37/0.57 (define @t8 () (tptp.multiplication @t1 @t2)) % 0.37/0.57 (define @t9 () (tptp.multiplication @t2 @t5)) % 0.37/0.57 (define @t10 () (@list @t1 @t2 @t5)) % 0.37/0.57 (define @t11 () (tptp.multiplication @t1 tptp.one)) % 0.37/0.57 (define @t12 () (forall @t7 (= @t11 @t1))) % 0.37/0.57 (define @t13 () (tptp.multiplication @t1 @t5)) % 0.37/0.57 (define @t14 () (@var "X0" $$unsorted)) % 0.37/0.57 (define @t15 () (tptp.domain @t14)) % 0.37/0.57 (define @t16 () (tptp.multiplication @t15 @t14)) % 0.37/0.57 (define @t17 () (tptp.addition @t14 @t16)) % 0.37/0.57 (define @t18 () (@list @t14)) % 0.37/0.57 (define @t19 () (forall @t18 (= @t17 @t16))) % 0.37/0.57 (define @t20 () (@var "X1" $$unsorted)) % 0.37/0.57 (define @t21 () (tptp.domain @t20)) % 0.37/0.57 (define @t22 () (@list @t14 @t20)) % 0.37/0.57 (define @t23 () (tptp.addition @t15 tptp.one)) % 0.37/0.57 (define @t24 () (forall @t18 (= @t23 tptp.one))) % 0.37/0.57 (define @t25 () (tptp.domain tptp.one)) % 0.37/0.57 (define @t26 () (@list tptp.one)) % 0.37/0.57 (define @t27 () (tptp.multiplication @t25 tptp.one)) % 0.37/0.57 (define @t28 () (= @t27 (tptp.addition tptp.one @t27))) % 0.37/0.57 (define @t29 () (tptp.addition @t25 tptp.one)) % 0.37/0.57 (define @t30 () (= tptp.one @t29)) % 0.37/0.57 (define @t31 () (tptp.addition tptp.one @t25)) % 0.37/0.57 (define @t32 () (= @t29 @t31)) % 0.37/0.57 (define @t33 () (= @t25 @t27)) % 0.37/0.57 (define @t34 () (= tptp.one @t25)) % 0.37/0.57 (define @t35 () (and @t28 @t30 @t32 @t33)) % 0.37/0.57 (assume @p1 (forall @t4 (= @t3 (tptp.addition @t2 @t1)))) % 0.37/0.57 (assume @p2 (forall (@list @t5 @t2 @t1) (= (tptp.addition @t1 @t6) (tptp.addition @t3 @t5)))) % 0.37/0.57 (assume @p3 (forall @t7 (= (tptp.addition @t1 tptp.zero) @t1))) % 0.37/0.57 (assume @p4 (forall @t7 (= (tptp.addition @t1 @t1) @t1))) % 0.37/0.57 (assume @p5 (forall @t10 (= (tptp.multiplication @t1 @t9) (tptp.multiplication @t8 @t5)))) % 0.37/0.57 (assume @p6 @t12) % 0.37/0.57 (assume @p7 (forall @t7 (= (tptp.multiplication tptp.one @t1) @t1))) % 0.37/0.57 (assume @p8 (forall @t10 (= (tptp.multiplication @t1 @t6) (tptp.addition @t8 @t13)))) % 0.37/0.57 (assume @p9 (forall @t10 (= (tptp.multiplication @t3 @t5) (tptp.addition @t13 @t9)))) % 0.37/0.57 (assume @p10 (forall @t7 (= (tptp.multiplication @t1 tptp.zero) tptp.zero))) % 0.37/0.57 (assume @p11 (forall @t7 (= (tptp.multiplication tptp.zero @t1) tptp.zero))) % 0.37/0.57 (assume @p12 (forall @t4 (= (tptp.leq @t1 @t2) (= @t3 @t2)))) % 0.37/0.57 (assume @p13 @t19) % 0.37/0.57 (assume @p14 (forall @t22 (= (tptp.domain (tptp.multiplication @t14 @t20)) (tptp.domain (tptp.multiplication @t14 @t21))))) % 0.37/0.57 (assume @p15 @t24) % 0.37/0.57 (assume @p16 (= (tptp.domain tptp.zero) tptp.zero)) % 0.37/0.57 (assume @p17 (forall @t22 (= (tptp.domain (tptp.addition @t14 @t20)) (tptp.addition @t15 @t21)))) % 0.37/0.57 (assume @p18 (not (= @t25 tptp.one))) % 0.37/0.57 (assume @p19 true) % 0.37/0.57 (step @p20 :rule symm :premises (@p18)) % 0.37/0.57 (step @p21 :rule eq-symm :args (@t17 @t16)) % 0.37/0.57 (step @p22 :rule cong :premises (@p21) :args (@t19)) % 0.37/0.57 (step @p23 :rule eq_resolve :premises (@p13 @p22)) % 0.37/0.57 (step @p24 :rule instantiate :premises (@p23) :args (@t26)) % 0.37/0.57 (step @p25 :rule eq-symm :args (@t23 tptp.one)) % 0.37/0.57 (step @p26 :rule cong :premises (@p25) :args (@t24)) % 0.37/0.57 (step @p27 :rule eq_resolve :premises (@p15 @p26)) % 0.37/0.57 (step @p28 :rule instantiate :premises (@p27) :args (@t26)) % 0.37/0.57 (step @p29 :rule instantiate :premises (@p1) :args ((@list @t25 tptp.one))) % 0.37/0.57 (step @p30 :rule eq-symm :args (@t11 @t1)) % 0.37/0.57 (step @p31 :rule cong :premises (@p30) :args (@t12)) % 0.37/0.57 (step @p32 :rule eq_resolve :premises (@p6 @p31)) % 0.37/0.57 (step @p33 :rule instantiate :premises (@p32) :args ((@list @t25))) % 0.37/0.57 (assume-push @p53 @t28) % 0.37/0.57 (assume-push @p54 @t30) % 0.37/0.57 (assume-push @p55 @t32) % 0.37/0.57 (assume-push @p56 @t33) % 0.37/0.57 (step @p38 :rule symm :premises (@p33)) % 0.37/0.57 (step @p39 :rule symm :premises (@p24)) % 0.37/0.57 (step @p40 :rule refl :args (tptp.one)) % 0.37/0.57 (step @p41 :rule cong :premises (@p40 @p33) :args (@t31)) % 0.37/0.57 (step @p42 :rule trans :premises (@p28 @p29 @p41 @p39 @p38)) % 0.37/0.57 (step-pop @p57 :rule scope :premises (@p42)) % 0.37/0.57 (step-pop @p58 :rule scope :premises (@p57)) % 0.37/0.57 (step-pop @p59 :rule scope :premises (@p58)) % 0.37/0.57 (step-pop @p60 :rule scope :premises (@p59)) % 0.37/0.57 (step @p43 :rule process_scope :premises (@p60) :args (@t34)) % 0.37/0.57 (step @p48 :rule implies_elim :premises (@p43)) % 0.37/0.57 (step @p49 :rule cnf_and_neg :args (@t35)) % 0.37/0.57 (step @p50 :rule resolution :premises (@p49 @p48) :args (true @t35)) % 0.37/0.57 (step @p51 :rule reordering :premises (@p50) :args ((or @t34 (not @t28) (not @t30) (not @t32) (not @t33)))) % 0.37/0.57 (step @p52 false :rule chain_m_resolution :premises (@p51 @p33 @p29 @p28 @p24 @p20) :args (false (@list false false false false true) (@list @t33 @t32 @t30 @t28 @t34))) % 0.37/0.57 ) % 0.37/0.57 % SZS output end Proof % 0.37/0.57 % cvc5 exiting %------------------------------------------------------------------------------