%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : KLE057+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 0.30s 0.54s % Output : Proof 0.30s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : KLE057+1 : TPTP v9.2.1. Released v4.0.0. % 0.00/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.15/0.34 % Computer : n025.cluster.edu % 0.15/0.34 % Model : x86_64 x86_64 % 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.34 % Memory : 8042.1875MB % 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.34 % CPULimit : 300 % 0.15/0.34 % WCLimit : 300 % 0.15/0.34 % DateTime : Tue Jun 2 05:12:01 EDT 2026 % 0.15/0.34 % CPUTime : % 0.30/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.30/0.54 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.30/0.54 % SZS status Theorem % 0.30/0.54 % SZS output start Proof % 0.30/0.54 ( % 0.30/0.54 (declare-sort $$unsorted 0) % 0.30/0.54 (declare-const tptp.domain (-> $$unsorted $$unsorted)) % 0.30/0.54 (declare-const tptp.multiplication (-> $$unsorted $$unsorted $$unsorted)) % 0.30/0.54 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 0.30/0.54 (declare-const tptp.zero $$unsorted) % 0.30/0.54 (declare-const tptp.one $$unsorted) % 0.30/0.54 (declare-const tptp.addition (-> $$unsorted $$unsorted $$unsorted)) % 0.30/0.54 (define @t1 () (@var "A" $$unsorted)) % 0.30/0.54 (define @t2 () (@var "B" $$unsorted)) % 0.30/0.54 (define @t3 () (tptp.addition @t1 @t2)) % 0.30/0.54 (define @t4 () (@list @t1 @t2)) % 0.30/0.54 (define @t5 () (@var "C" $$unsorted)) % 0.30/0.54 (define @t6 () (tptp.addition @t2 @t5)) % 0.30/0.54 (define @t7 () (@list @t1)) % 0.30/0.54 (define @t8 () (tptp.multiplication @t1 @t2)) % 0.30/0.54 (define @t9 () (tptp.multiplication @t2 @t5)) % 0.30/0.54 (define @t10 () (@list @t1 @t2 @t5)) % 0.30/0.54 (define @t11 () (tptp.multiplication @t1 @t5)) % 0.30/0.54 (define @t12 () (@var "X0" $$unsorted)) % 0.30/0.54 (define @t13 () (tptp.domain @t12)) % 0.30/0.54 (define @t14 () (tptp.multiplication @t13 @t12)) % 0.30/0.54 (define @t15 () (@list @t12)) % 0.30/0.54 (define @t16 () (@var "X1" $$unsorted)) % 0.30/0.54 (define @t17 () (tptp.domain @t16)) % 0.30/0.54 (define @t18 () (@list @t12 @t16)) % 0.30/0.54 (define @t19 () (tptp.domain tptp.zero)) % 0.30/0.54 (define @t20 () (= @t12 tptp.zero)) % 0.30/0.54 (define @t21 () (=> @t20 (= @t13 tptp.zero))) % 0.30/0.54 (define @t22 () (forall @t15 @t21)) % 0.30/0.54 (define @t23 () (not @t22)) % 0.30/0.54 (define @t24 () (= tptp.zero @t19)) % 0.30/0.54 (define @t25 () (not (= tptp.zero tptp.zero))) % 0.30/0.54 (define @t26 () (or @t25 @t24)) % 0.30/0.54 (define @t27 () (= tptp.zero @t13)) % 0.30/0.54 (define @t28 () (= tptp.zero @t12)) % 0.30/0.54 (define @t29 () (not @t28)) % 0.30/0.54 (define @t30 () (or @t29 @t29 @t27)) % 0.30/0.54 (define @t31 () (or @t29 @t27)) % 0.30/0.54 (assume @p1 (forall @t4 (= @t3 (tptp.addition @t2 @t1)))) % 0.30/0.54 (assume @p2 (forall (@list @t5 @t2 @t1) (= (tptp.addition @t1 @t6) (tptp.addition @t3 @t5)))) % 0.30/0.54 (assume @p3 (forall @t7 (= (tptp.addition @t1 tptp.zero) @t1))) % 0.30/0.54 (assume @p4 (forall @t7 (= (tptp.addition @t1 @t1) @t1))) % 0.30/0.54 (assume @p5 (forall @t10 (= (tptp.multiplication @t1 @t9) (tptp.multiplication @t8 @t5)))) % 0.30/0.54 (assume @p6 (forall @t7 (= (tptp.multiplication @t1 tptp.one) @t1))) % 0.30/0.54 (assume @p7 (forall @t7 (= (tptp.multiplication tptp.one @t1) @t1))) % 0.30/0.54 (assume @p8 (forall @t10 (= (tptp.multiplication @t1 @t6) (tptp.addition @t8 @t11)))) % 0.30/0.54 (assume @p9 (forall @t10 (= (tptp.multiplication @t3 @t5) (tptp.addition @t11 @t9)))) % 0.30/0.54 (assume @p10 (forall @t7 (= (tptp.multiplication @t1 tptp.zero) tptp.zero))) % 0.30/0.54 (assume @p11 (forall @t7 (= (tptp.multiplication tptp.zero @t1) tptp.zero))) % 0.30/0.54 (assume @p12 (forall @t4 (= (tptp.leq @t1 @t2) (= @t3 @t2)))) % 0.30/0.54 (assume @p13 (forall @t15 (= (tptp.addition @t12 @t14) @t14))) % 0.30/0.54 (assume @p14 (forall @t18 (= (tptp.domain (tptp.multiplication @t12 @t16)) (tptp.domain (tptp.multiplication @t12 @t17))))) % 0.30/0.54 (assume @p15 (forall @t15 (= (tptp.addition @t13 tptp.one) tptp.one))) % 0.30/0.54 (assume @p16 (= @t19 tptp.zero)) % 0.30/0.54 (assume @p17 (forall @t18 (= (tptp.domain (tptp.addition @t12 @t16)) (tptp.addition @t13 @t17)))) % 0.30/0.54 (assume @p18 @t23) % 0.30/0.54 (assume @p19 true) % 0.30/0.54 (step @p20 :rule symm :premises (@p16)) % 0.30/0.54 (step @p21 :rule aci_norm :args ((= (or false @t24) @t24))) % 0.30/0.54 (step @p22 :rule refl :args (@t24)) % 0.30/0.54 (step @p23 :rule evaluate :args ((not true))) % 0.30/0.54 (step @p24 :rule eq-refl :args (tptp.zero)) % 0.30/0.54 (step @p25 :rule cong :premises (@p24) :args (@t25)) % 0.30/0.54 (step @p26 :rule trans :premises (@p25 @p23)) % 0.30/0.54 (step @p27 :rule nary_cong :premises (@p26 @p22) :args (@t26)) % 0.30/0.54 (step @p28 :rule trans :premises (@p27 @p21)) % 0.30/0.54 (step @p29 :rule quant-var-elim-eq :args ((= (forall @t15 (or (not @t20) @t29 @t27)) @t26))) % 0.30/0.54 (step @p30 :rule refl :args (@t27)) % 0.30/0.54 (step @p31 :rule refl :args (@t29)) % 0.30/0.54 (step @p32 :rule eq-symm :args (tptp.zero @t12)) % 0.30/0.54 (step @p33 :rule cong :premises (@p32) :args (@t29)) % 0.30/0.54 (step @p34 :rule nary_cong :premises (@p33 @p31 @p30) :args (@t30)) % 0.30/0.54 (step @p35 :rule aci_norm :args ((= @t31 @t30))) % 0.30/0.54 (step @p36 :rule trans :premises (@p35 @p34)) % 0.30/0.54 (step @p37 :rule cong :premises (@p36) :args ((forall @t15 @t31))) % 0.30/0.54 (step @p38 :rule trans :premises (@p37 @p29)) % 0.30/0.54 (step @p39 :rule trans :premises (@p38 @p28)) % 0.30/0.54 (step @p40 :rule bool-impl-elim :args (@t28 @t27)) % 0.30/0.54 (step @p41 :rule cong :premises (@p40) :args ((forall @t15 (=> @t28 @t27)))) % 0.30/0.55 (step @p42 :rule trans :premises (@p41 @p39)) % 0.30/0.55 (step @p43 :rule eq-symm :args (@t13 tptp.zero)) % 0.30/0.55 (step @p44 :rule eq-symm :args (@t12 tptp.zero)) % 0.30/0.55 (step @p45 :rule cong :premises (@p44 @p43) :args (@t21)) % 0.30/0.55 (step @p46 :rule cong :premises (@p45) :args (@t22)) % 0.30/0.55 (step @p47 :rule trans :premises (@p46 @p42)) % 0.30/0.55 (step @p48 :rule cong :premises (@p47) :args (@t23)) % 0.30/0.55 (step @p49 :rule eq_resolve :premises (@p18 @p48)) % 0.30/0.55 (step @p50 false :rule chain_m_resolution :premises (@p49 @p20) :args (false (@list false) (@list @t24))) % 0.30/0.55 ) % 0.30/0.55 % SZS output end Proof % 0.30/0.55 % cvc5 exiting %------------------------------------------------------------------------------