%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : BOO018-4 : 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 : 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 08:09:04 AM UTC 2026 % Result : Unsatisfiable 0.27s 0.54s % Output : Proof 0.27s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : BOO018-4 : TPTP v9.2.1. Bugfixed v1.2.1. % 0.11/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n026.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 : Wed Jun 3 02:37:10 EDT 2026 % 0.17/0.34 % CPUTime : % 0.27/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.27/0.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.27/0.54 % SZS status Unsatisfiable % 0.27/0.54 % SZS output start Proof % 0.27/0.55 ( % 0.27/0.55 (declare-sort $$unsorted 0) % 0.27/0.55 (declare-const tptp.inverse (-> $$unsorted $$unsorted)) % 0.27/0.55 (declare-const tptp.multiplicative_identity $$unsorted) % 0.27/0.55 (declare-const tptp.additive_identity $$unsorted) % 0.27/0.55 (declare-const tptp.multiply (-> $$unsorted $$unsorted $$unsorted)) % 0.27/0.55 (declare-const tptp.add (-> $$unsorted $$unsorted $$unsorted)) % 0.27/0.55 (define @t1 () (@var "X" $$unsorted)) % 0.27/0.55 (define @t2 () (@var "Y" $$unsorted)) % 0.27/0.55 (define @t3 () (tptp.add @t1 @t2)) % 0.27/0.55 (define @t4 () (@list @t1 @t2)) % 0.27/0.55 (define @t5 () (tptp.multiply @t1 @t2)) % 0.27/0.55 (define @t6 () (@var "Z" $$unsorted)) % 0.27/0.55 (define @t7 () (@list @t1 @t2 @t6)) % 0.27/0.55 (define @t8 () (@list @t1)) % 0.27/0.55 (define @t9 () (tptp.multiply @t1 tptp.multiplicative_identity)) % 0.27/0.55 (define @t10 () (forall @t8 (= @t9 @t1))) % 0.27/0.55 (define @t11 () (tptp.inverse @t1)) % 0.27/0.55 (define @t12 () (tptp.multiply @t1 @t11)) % 0.27/0.55 (define @t13 () (forall @t8 (= @t12 tptp.additive_identity))) % 0.27/0.55 (define @t14 () (tptp.inverse tptp.multiplicative_identity)) % 0.27/0.55 (define @t15 () (tptp.multiply @t14 tptp.multiplicative_identity)) % 0.27/0.55 (define @t16 () (= @t14 @t15)) % 0.27/0.55 (define @t17 () (= @t15 @t14)) % 0.27/0.55 (define @t18 () (forall @t8 (= @t1 @t9))) % 0.27/0.55 (assume @p1 (forall @t4 (= @t3 (tptp.add @t2 @t1)))) % 0.27/0.55 (assume @p2 (forall @t4 (= @t5 (tptp.multiply @t2 @t1)))) % 0.27/0.55 (assume @p3 (forall @t7 (= (tptp.add @t1 (tptp.multiply @t2 @t6)) (tptp.multiply @t3 (tptp.add @t1 @t6))))) % 0.27/0.55 (assume @p4 (forall @t7 (= (tptp.multiply @t1 (tptp.add @t2 @t6)) (tptp.add @t5 (tptp.multiply @t1 @t6))))) % 0.27/0.55 (assume @p5 (forall @t8 (= (tptp.add @t1 tptp.additive_identity) @t1))) % 0.27/0.55 (assume @p6 @t10) % 0.27/0.55 (assume @p7 (forall @t8 (= (tptp.add @t1 @t11) tptp.multiplicative_identity))) % 0.27/0.55 (assume @p8 @t13) % 0.27/0.55 (assume @p9 (not (= @t14 tptp.additive_identity))) % 0.27/0.55 (step @p10 :rule eq-symm :args (@t9 @t1)) % 0.27/0.55 (step @p11 :rule cong :premises (@p10) :args (@t10)) % 0.27/0.55 (step @p12 :rule eq_resolve :premises (@p6 @p11)) % 0.27/0.55 (step @p13 :rule bool-eq-false :args (@t16)) % 0.27/0.55 (step @p14 :rule symm :premises (@p13)) % 0.27/0.55 (step @p15 :rule eq-symm :args (@t15 @t14)) % 0.27/0.55 (step @p16 :rule cong :premises (@p15) :args ((not @t17))) % 0.27/0.55 (step @p17 :rule bool-eq-false :args (@t17)) % 0.27/0.55 (step @p18 :rule trans :premises (@p17 @p16)) % 0.27/0.55 (step @p19 :rule trans :premises (@p18 @p14)) % 0.27/0.55 (step @p20 :rule symm :premises (@p9)) % 0.27/0.55 (step @p21 :rule false_intro :premises (@p20)) % 0.27/0.55 (step @p22 :rule refl :args (@t14)) % 0.27/0.55 (step @p23 :rule eq-symm :args (@t12 tptp.additive_identity)) % 0.27/0.55 (step @p24 :rule cong :premises (@p23) :args (@t13)) % 0.27/0.55 (step @p25 :rule eq_resolve :premises (@p8 @p24)) % 0.27/0.55 (step @p26 :rule instantiate :premises (@p25) :args ((@list tptp.multiplicative_identity))) % 0.27/0.55 (step @p27 :rule symm :premises (@p26)) % 0.27/0.55 (step @p28 :rule instantiate :premises (@p2) :args ((@list tptp.multiplicative_identity @t14))) % 0.27/0.55 (step @p29 :rule symm :premises (@p28)) % 0.27/0.55 (step @p30 :rule trans :premises (@p29 @p27)) % 0.27/0.55 (step @p31 :rule cong :premises (@p30 @p22) :args (@t17)) % 0.27/0.55 (step @p32 :rule trans :premises (@p31 @p21)) % 0.27/0.55 (step @p33 :rule eq_resolve :premises (@p32 @p19)) % 0.27/0.55 (step @p34 :rule false_elim :premises (@p33)) % 0.27/0.55 (assume-push @p41 @t18) % 0.27/0.55 (step @p36 :rule instantiate :premises (@p12) :args ((@list @t14))) % 0.27/0.55 (step-pop @p42 :rule scope :premises (@p36)) % 0.27/0.55 (step @p37 :rule process_scope :premises (@p42) :args (@t16)) % 0.27/0.55 (step @p39 :rule implies_elim :premises (@p37)) % 0.27/0.55 (step @p40 false :rule chain_m_resolution :premises (@p39 @p34 @p12) :args (false (@list true false) (@list @t16 @t18))) % 0.27/0.55 ) % 0.27/0.55 % SZS output end Proof % 0.27/0.55 % cvc5 exiting %------------------------------------------------------------------------------