%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : BOO011-2 : TPTP v9.2.1. Bugfixed v1.2.1. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n027.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 08:09:02 AM UTC 2026 % Result : Unsatisfiable 0.28s 0.55s % Output : Proof 0.28s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : BOO011-2 : TPTP v9.2.1. Bugfixed v1.2.1. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.15/0.34 % Computer : n027.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 : Wed Jun 3 02:36:21 EDT 2026 % 0.15/0.34 % CPUTime : % 0.28/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.28/0.51 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.28/0.55 % SZS status Unsatisfiable % 0.28/0.55 % SZS output start Proof % 0.28/0.55 ( % 0.28/0.55 (declare-sort $$unsorted 0) % 0.28/0.55 (declare-const tptp.additive_identity $$unsorted) % 0.28/0.55 (declare-const tptp.inverse (-> $$unsorted $$unsorted)) % 0.28/0.55 (declare-const tptp.multiplicative_identity $$unsorted) % 0.28/0.55 (declare-const tptp.multiply (-> $$unsorted $$unsorted $$unsorted)) % 0.28/0.55 (declare-const tptp.add (-> $$unsorted $$unsorted $$unsorted)) % 0.28/0.55 (define @t1 () (@var "X" $$unsorted)) % 0.28/0.55 (define @t2 () (@var "Y" $$unsorted)) % 0.28/0.55 (define @t3 () (tptp.add @t1 @t2)) % 0.28/0.55 (define @t4 () (@list @t1 @t2)) % 0.28/0.55 (define @t5 () (tptp.multiply @t1 @t2)) % 0.28/0.55 (define @t6 () (@var "Z" $$unsorted)) % 0.28/0.55 (define @t7 () (tptp.add @t2 @t6)) % 0.28/0.55 (define @t8 () (tptp.add @t1 @t6)) % 0.28/0.55 (define @t9 () (@list @t1 @t2 @t6)) % 0.28/0.55 (define @t10 () (tptp.multiply @t2 @t6)) % 0.28/0.55 (define @t11 () (tptp.multiply @t1 @t6)) % 0.28/0.55 (define @t12 () (tptp.inverse @t1)) % 0.28/0.55 (define @t13 () (@list @t1)) % 0.28/0.55 (define @t14 () (tptp.add @t12 @t1)) % 0.28/0.55 (define @t15 () (forall @t13 (= @t14 tptp.multiplicative_identity))) % 0.28/0.55 (define @t16 () (tptp.add @t1 tptp.additive_identity)) % 0.28/0.55 (define @t17 () (forall @t13 (= @t16 @t1))) % 0.28/0.55 (define @t18 () (tptp.inverse tptp.additive_identity)) % 0.28/0.55 (define @t19 () (tptp.add @t18 tptp.additive_identity)) % 0.28/0.55 (define @t20 () (= @t18 @t19)) % 0.28/0.55 (define @t21 () (= @t19 @t18)) % 0.28/0.55 (define @t22 () (forall @t13 (= @t1 @t16))) % 0.28/0.55 (assume @p1 (forall @t4 (= @t3 (tptp.add @t2 @t1)))) % 0.28/0.55 (assume @p2 (forall @t4 (= @t5 (tptp.multiply @t2 @t1)))) % 0.28/0.55 (assume @p3 (forall @t9 (= (tptp.add @t5 @t6) (tptp.multiply @t8 @t7)))) % 0.28/0.55 (assume @p4 (forall @t9 (= (tptp.add @t1 @t10) (tptp.multiply @t3 @t8)))) % 0.28/0.55 (assume @p5 (forall @t9 (= (tptp.multiply @t3 @t6) (tptp.add @t11 @t10)))) % 0.28/0.55 (assume @p6 (forall @t9 (= (tptp.multiply @t1 @t7) (tptp.add @t5 @t11)))) % 0.28/0.55 (assume @p7 (forall @t13 (= (tptp.add @t1 @t12) tptp.multiplicative_identity))) % 0.28/0.55 (assume @p8 @t15) % 0.28/0.55 (assume @p9 (forall @t13 (= (tptp.multiply @t1 @t12) tptp.additive_identity))) % 0.28/0.55 (assume @p10 (forall @t13 (= (tptp.multiply @t12 @t1) tptp.additive_identity))) % 0.28/0.55 (assume @p11 (forall @t13 (= (tptp.multiply @t1 tptp.multiplicative_identity) @t1))) % 0.28/0.55 (assume @p12 (forall @t13 (= (tptp.multiply tptp.multiplicative_identity @t1) @t1))) % 0.28/0.55 (assume @p13 @t17) % 0.28/0.55 (assume @p14 (forall @t13 (= (tptp.add tptp.additive_identity @t1) @t1))) % 0.28/0.55 (assume @p15 (not (= @t18 tptp.multiplicative_identity))) % 0.28/0.55 (step @p16 :rule eq-symm :args (@t16 @t1)) % 0.28/0.55 (step @p17 :rule cong :premises (@p16) :args (@t17)) % 0.28/0.55 (step @p18 :rule eq_resolve :premises (@p13 @p17)) % 0.28/0.55 (step @p19 :rule bool-eq-false :args (@t20)) % 0.28/0.55 (step @p20 :rule symm :premises (@p19)) % 0.28/0.55 (step @p21 :rule eq-symm :args (@t19 @t18)) % 0.28/0.55 (step @p22 :rule cong :premises (@p21) :args ((not @t21))) % 0.28/0.55 (step @p23 :rule bool-eq-false :args (@t21)) % 0.28/0.55 (step @p24 :rule trans :premises (@p23 @p22)) % 0.28/0.55 (step @p25 :rule trans :premises (@p24 @p20)) % 0.28/0.55 (step @p26 :rule symm :premises (@p15)) % 0.28/0.55 (step @p27 :rule false_intro :premises (@p26)) % 0.28/0.55 (step @p28 :rule refl :args (@t18)) % 0.28/0.55 (step @p29 :rule eq-symm :args (@t14 tptp.multiplicative_identity)) % 0.28/0.55 (step @p30 :rule cong :premises (@p29) :args (@t15)) % 0.28/0.55 (step @p31 :rule eq_resolve :premises (@p8 @p30)) % 0.28/0.55 (step @p32 :rule instantiate :premises (@p31) :args ((@list tptp.additive_identity))) % 0.28/0.55 (step @p33 :rule symm :premises (@p32)) % 0.28/0.55 (step @p34 :rule cong :premises (@p33 @p28) :args (@t21)) % 0.28/0.55 (step @p35 :rule trans :premises (@p34 @p27)) % 0.28/0.55 (step @p36 :rule eq_resolve :premises (@p35 @p25)) % 0.28/0.55 (step @p37 :rule false_elim :premises (@p36)) % 0.28/0.55 (assume-push @p44 @t22) % 0.28/0.55 (step @p39 :rule instantiate :premises (@p18) :args ((@list @t18))) % 0.28/0.55 (step-pop @p45 :rule scope :premises (@p39)) % 0.28/0.55 (step @p40 :rule process_scope :premises (@p45) :args (@t20)) % 0.28/0.55 (step @p42 :rule implies_elim :premises (@p40)) % 0.28/0.55 (step @p43 false :rule chain_m_resolution :premises (@p42 @p37 @p18) :args (false (@list true false) (@list @t20 @t22))) % 0.28/0.55 ) % 0.28/0.56 % SZS output end Proof % 0.28/0.56 % cvc5 exiting %------------------------------------------------------------------------------