%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : BOO003-2 : TPTP v9.2.1. Released v1.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n021.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 08:08:59 AM UTC 2026 % Result : Unsatisfiable 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 : BOO003-2 : TPTP v9.2.1. Released v1.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n021.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Wed Jun 3 02:35:36 EDT 2026 % 0.16/0.34 % CPUTime : % 0.29/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.29/0.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.37/0.57 % SZS status Unsatisfiable % 0.37/0.57 % SZS output start Proof % 0.37/0.58 ( % 0.37/0.58 (declare-sort $$unsorted 0) % 0.37/0.58 (declare-const tptp.a $$unsorted) % 0.37/0.58 (declare-const tptp.additive_identity $$unsorted) % 0.37/0.58 (declare-const tptp.inverse (-> $$unsorted $$unsorted)) % 0.37/0.58 (declare-const tptp.multiplicative_identity $$unsorted) % 0.37/0.58 (declare-const tptp.multiply (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.58 (declare-const tptp.add (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.58 (define @t1 () (@var "X" $$unsorted)) % 0.37/0.58 (define @t2 () (@var "Y" $$unsorted)) % 0.37/0.58 (define @t3 () (tptp.add @t1 @t2)) % 0.37/0.58 (define @t4 () (@list @t1 @t2)) % 0.37/0.58 (define @t5 () (tptp.multiply @t1 @t2)) % 0.37/0.58 (define @t6 () (@var "Z" $$unsorted)) % 0.37/0.58 (define @t7 () (tptp.add @t2 @t6)) % 0.37/0.58 (define @t8 () (tptp.add @t1 @t6)) % 0.37/0.58 (define @t9 () (@list @t1 @t2 @t6)) % 0.37/0.58 (define @t10 () (forall @t9 (= (tptp.add @t5 @t6) (tptp.multiply @t8 @t7)))) % 0.37/0.58 (define @t11 () (tptp.multiply @t2 @t6)) % 0.37/0.58 (define @t12 () (tptp.multiply @t1 @t6)) % 0.37/0.58 (define @t13 () (tptp.inverse @t1)) % 0.37/0.58 (define @t14 () (@list @t1)) % 0.37/0.58 (define @t15 () (tptp.multiply @t1 tptp.multiplicative_identity)) % 0.37/0.58 (define @t16 () (forall @t14 (= @t15 @t1))) % 0.37/0.58 (define @t17 () (tptp.add @t1 tptp.additive_identity)) % 0.37/0.58 (define @t18 () (forall @t14 (= @t17 @t1))) % 0.37/0.58 (define @t19 () (tptp.add tptp.additive_identity tptp.a)) % 0.37/0.58 (define @t20 () (tptp.multiply @t19 @t19)) % 0.37/0.58 (define @t21 () (@list tptp.multiplicative_identity tptp.additive_identity)) % 0.37/0.58 (define @t22 () (tptp.multiply tptp.additive_identity tptp.additive_identity)) % 0.37/0.58 (define @t23 () (tptp.add @t22 tptp.a)) % 0.37/0.58 (define @t24 () (= @t23 @t20)) % 0.37/0.58 (assume @p1 (forall @t4 (= @t3 (tptp.add @t2 @t1)))) % 0.37/0.58 (assume @p2 (forall @t4 (= @t5 (tptp.multiply @t2 @t1)))) % 0.37/0.58 (assume @p3 @t10) % 0.37/0.58 (assume @p4 (forall @t9 (= (tptp.add @t1 @t11) (tptp.multiply @t3 @t8)))) % 0.37/0.58 (assume @p5 (forall @t9 (= (tptp.multiply @t3 @t6) (tptp.add @t12 @t11)))) % 0.37/0.58 (assume @p6 (forall @t9 (= (tptp.multiply @t1 @t7) (tptp.add @t5 @t12)))) % 0.37/0.58 (assume @p7 (forall @t14 (= (tptp.add @t1 @t13) tptp.multiplicative_identity))) % 0.37/0.58 (assume @p8 (forall @t14 (= (tptp.add @t13 @t1) tptp.multiplicative_identity))) % 0.37/0.58 (assume @p9 (forall @t14 (= (tptp.multiply @t1 @t13) tptp.additive_identity))) % 0.37/0.58 (assume @p10 (forall @t14 (= (tptp.multiply @t13 @t1) tptp.additive_identity))) % 0.37/0.58 (assume @p11 @t16) % 0.37/0.58 (assume @p12 (forall @t14 (= (tptp.multiply tptp.multiplicative_identity @t1) @t1))) % 0.37/0.58 (assume @p13 @t18) % 0.37/0.58 (assume @p14 (forall @t14 (= (tptp.add tptp.additive_identity @t1) @t1))) % 0.37/0.58 (assume @p15 (not (= (tptp.multiply tptp.a tptp.a) tptp.a))) % 0.37/0.58 (step @p16 :rule symm :premises (@p15)) % 0.37/0.58 (step @p17 :rule false_intro :premises (@p16)) % 0.37/0.58 (step @p18 :rule eq-symm :args (@t17 @t1)) % 0.37/0.58 (step @p19 :rule cong :premises (@p18) :args (@t18)) % 0.37/0.58 (step @p20 :rule eq_resolve :premises (@p13 @p19)) % 0.37/0.58 (step @p21 :rule instantiate :premises (@p20) :args ((@list tptp.a))) % 0.37/0.58 (step @p22 :rule symm :premises (@p21)) % 0.37/0.58 (step @p23 :rule instantiate :premises (@p1) :args ((@list tptp.a tptp.additive_identity))) % 0.37/0.58 (step @p24 :rule symm :premises (@p23)) % 0.37/0.58 (step @p25 :rule trans :premises (@p24 @p22)) % 0.37/0.58 (step @p26 :rule cong :premises (@p25 @p25) :args (@t20)) % 0.37/0.58 (step @p27 :rule refl :args (tptp.a)) % 0.37/0.58 (step @p28 :rule eq-symm :args (@t15 @t1)) % 0.37/0.58 (step @p29 :rule cong :premises (@p28) :args (@t16)) % 0.37/0.58 (step @p30 :rule eq_resolve :premises (@p11 @p29)) % 0.37/0.58 (step @p31 :rule instantiate :premises (@p30) :args ((@list tptp.additive_identity))) % 0.37/0.58 (step @p32 :rule symm :premises (@p31)) % 0.37/0.58 (step @p33 :rule instantiate :premises (@p2) :args (@t21)) % 0.37/0.58 (step @p34 :rule trans :premises (@p33 @p32)) % 0.37/0.58 (step @p35 :rule refl :args (tptp.additive_identity)) % 0.37/0.58 (step @p36 :rule instantiate :premises (@p20) :args ((@list tptp.multiplicative_identity))) % 0.37/0.58 (step @p37 :rule symm :premises (@p36)) % 0.37/0.58 (step @p38 :rule instantiate :premises (@p1) :args (@t21)) % 0.37/0.58 (step @p39 :rule symm :premises (@p38)) % 0.37/0.58 (step @p40 :rule trans :premises (@p39 @p37)) % 0.37/0.58 (step @p41 :rule cong :premises (@p40 @p35) :args ((tptp.multiply (tptp.add tptp.additive_identity tptp.multiplicative_identity) tptp.additive_identity))) % 0.37/0.58 (step @p42 :rule instantiate :premises (@p5) :args ((@list tptp.additive_identity tptp.multiplicative_identity tptp.additive_identity))) % 0.37/0.58 (step @p43 :rule symm :premises (@p42)) % 0.37/0.58 (step @p44 :rule symm :premises (@p34)) % 0.37/0.58 (step @p45 :rule refl :args (@t22)) % 0.37/0.58 (step @p46 :rule cong :premises (@p45 @p44) :args ((tptp.add @t22 tptp.additive_identity))) % 0.37/0.58 (step @p47 :rule instantiate :premises (@p20) :args ((@list @t22))) % 0.37/0.58 (step @p48 :rule trans :premises (@p47 @p46 @p43 @p41)) % 0.37/0.58 (step @p49 :rule trans :premises (@p48 @p34)) % 0.37/0.58 (step @p50 :rule cong :premises (@p49 @p27) :args (@t23)) % 0.37/0.58 (step @p51 :rule trans :premises (@p50 @p24 @p22)) % 0.37/0.58 (step @p52 :rule cong :premises (@p51 @p26) :args (@t24)) % 0.37/0.58 (step @p53 :rule trans :premises (@p52 @p17)) % 0.37/0.58 (step @p54 :rule false_elim :premises (@p53)) % 0.37/0.58 (assume-push @p61 @t10) % 0.37/0.58 (step @p56 :rule instantiate :premises (@p3) :args ((@list tptp.additive_identity tptp.additive_identity tptp.a))) % 0.37/0.58 (step-pop @p62 :rule scope :premises (@p56)) % 0.37/0.58 (step @p57 :rule process_scope :premises (@p62) :args (@t24)) % 0.37/0.58 (step @p59 :rule implies_elim :premises (@p57)) % 0.37/0.58 (step @p60 false :rule chain_m_resolution :premises (@p59 @p54 @p3) :args (false (@list true false) (@list @t24 @t10))) % 0.37/0.58 ) % 0.37/0.58 % SZS output end Proof % 0.37/0.58 % cvc5 exiting %------------------------------------------------------------------------------