%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : BOO003-4 : TPTP v9.2.1. Released v1.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n008.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 0.36s 0.59s % Output : Proof 0.36s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.13 % Problem : BOO003-4 : TPTP v9.2.1. Released v1.1.0. % 0.12/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.35 % Computer : n008.cluster.edu % 0.16/0.35 % Model : x86_64 x86_64 % 0.16/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.35 % Memory : 8042.1875MB % 0.16/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.35 % CPULimit : 300 % 0.16/0.35 % WCLimit : 300 % 0.16/0.35 % DateTime : Wed Jun 3 02:34:33 EDT 2026 % 0.16/0.36 % CPUTime : % 0.27/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.27/0.52 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.36/0.59 % SZS status Unsatisfiable % 0.36/0.59 % SZS output start Proof % 0.36/0.59 ( % 0.36/0.59 (declare-sort $$unsorted 0) % 0.36/0.59 (declare-const tptp.inverse (-> $$unsorted $$unsorted)) % 0.36/0.59 (declare-const tptp.a $$unsorted) % 0.36/0.59 (declare-const tptp.multiplicative_identity $$unsorted) % 0.36/0.59 (declare-const tptp.additive_identity $$unsorted) % 0.36/0.59 (declare-const tptp.multiply (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.59 (declare-const tptp.add (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.59 (define @t1 () (@var "X" $$unsorted)) % 0.36/0.59 (define @t2 () (@var "Y" $$unsorted)) % 0.36/0.59 (define @t3 () (tptp.add @t1 @t2)) % 0.36/0.59 (define @t4 () (@list @t1 @t2)) % 0.36/0.59 (define @t5 () (tptp.multiply @t1 @t2)) % 0.36/0.59 (define @t6 () (@var "Z" $$unsorted)) % 0.36/0.59 (define @t7 () (@list @t1 @t2 @t6)) % 0.36/0.59 (define @t8 () (forall @t7 (= (tptp.add @t1 (tptp.multiply @t2 @t6)) (tptp.multiply @t3 (tptp.add @t1 @t6))))) % 0.36/0.59 (define @t9 () (tptp.add @t1 tptp.additive_identity)) % 0.36/0.59 (define @t10 () (@list @t1)) % 0.36/0.59 (define @t11 () (forall @t10 (= @t9 @t1))) % 0.36/0.59 (define @t12 () (tptp.multiply @t1 tptp.multiplicative_identity)) % 0.36/0.59 (define @t13 () (forall @t10 (= @t12 @t1))) % 0.36/0.59 (define @t14 () (tptp.inverse @t1)) % 0.36/0.59 (define @t15 () (tptp.add @t1 @t14)) % 0.36/0.59 (define @t16 () (forall @t10 (= @t15 tptp.multiplicative_identity))) % 0.36/0.59 (define @t17 () (tptp.multiply @t1 @t14)) % 0.36/0.59 (define @t18 () (forall @t10 (= @t17 tptp.additive_identity))) % 0.36/0.59 (define @t19 () (tptp.add tptp.a tptp.additive_identity)) % 0.36/0.59 (define @t20 () (tptp.multiply @t19 @t19)) % 0.36/0.59 (define @t21 () (@list tptp.additive_identity)) % 0.36/0.59 (define @t22 () (tptp.inverse tptp.additive_identity)) % 0.36/0.59 (define @t23 () (tptp.multiply tptp.additive_identity tptp.additive_identity)) % 0.36/0.59 (define @t24 () (tptp.add tptp.a @t23)) % 0.36/0.59 (define @t25 () (= @t24 @t20)) % 0.36/0.59 (assume @p1 (forall @t4 (= @t3 (tptp.add @t2 @t1)))) % 0.36/0.59 (assume @p2 (forall @t4 (= @t5 (tptp.multiply @t2 @t1)))) % 0.36/0.59 (assume @p3 @t8) % 0.36/0.59 (assume @p4 (forall @t7 (= (tptp.multiply @t1 (tptp.add @t2 @t6)) (tptp.add @t5 (tptp.multiply @t1 @t6))))) % 0.36/0.59 (assume @p5 @t11) % 0.36/0.59 (assume @p6 @t13) % 0.36/0.59 (assume @p7 @t16) % 0.36/0.59 (assume @p8 @t18) % 0.36/0.59 (assume @p9 (not (= (tptp.multiply tptp.a tptp.a) tptp.a))) % 0.36/0.59 (step @p10 :rule symm :premises (@p9)) % 0.36/0.59 (step @p11 :rule false_intro :premises (@p10)) % 0.36/0.59 (step @p12 :rule eq-symm :args (@t9 @t1)) % 0.36/0.59 (step @p13 :rule cong :premises (@p12) :args (@t11)) % 0.36/0.59 (step @p14 :rule eq_resolve :premises (@p5 @p13)) % 0.36/0.59 (step @p15 :rule instantiate :premises (@p14) :args ((@list tptp.a))) % 0.36/0.59 (step @p16 :rule symm :premises (@p15)) % 0.36/0.59 (step @p17 :rule cong :premises (@p16 @p16) :args (@t20)) % 0.36/0.59 (step @p18 :rule eq-symm :args (@t12 @t1)) % 0.36/0.59 (step @p19 :rule cong :premises (@p18) :args (@t13)) % 0.36/0.59 (step @p20 :rule eq_resolve :premises (@p6 @p19)) % 0.36/0.59 (step @p21 :rule instantiate :premises (@p20) :args (@t21)) % 0.36/0.59 (step @p22 :rule symm :premises (@p21)) % 0.36/0.59 (step @p23 :rule eq-symm :args (@t15 tptp.multiplicative_identity)) % 0.36/0.59 (step @p24 :rule cong :premises (@p23) :args (@t16)) % 0.36/0.59 (step @p25 :rule eq_resolve :premises (@p7 @p24)) % 0.36/0.59 (step @p26 :rule instantiate :premises (@p25) :args (@t21)) % 0.36/0.59 (step @p27 :rule symm :premises (@p26)) % 0.36/0.59 (step @p28 :rule refl :args (tptp.additive_identity)) % 0.36/0.59 (step @p29 :rule cong :premises (@p28 @p27) :args ((tptp.multiply tptp.additive_identity (tptp.add tptp.additive_identity @t22)))) % 0.36/0.59 (step @p30 :rule instantiate :premises (@p4) :args ((@list tptp.additive_identity tptp.additive_identity @t22))) % 0.36/0.59 (step @p31 :rule symm :premises (@p30)) % 0.36/0.59 (step @p32 :rule eq-symm :args (@t17 tptp.additive_identity)) % 0.36/0.59 (step @p33 :rule cong :premises (@p32) :args (@t18)) % 0.36/0.59 (step @p34 :rule eq_resolve :premises (@p8 @p33)) % 0.36/0.59 (step @p35 :rule instantiate :premises (@p34) :args (@t21)) % 0.36/0.59 (step @p36 :rule refl :args (@t23)) % 0.36/0.59 (step @p37 :rule cong :premises (@p36 @p35) :args ((tptp.add @t23 tptp.additive_identity))) % 0.36/0.59 (step @p38 :rule instantiate :premises (@p1) :args ((@list tptp.additive_identity @t23))) % 0.36/0.59 (step @p39 :rule instantiate :premises (@p3) :args ((@list tptp.additive_identity tptp.additive_identity tptp.additive_identity))) % 0.36/0.59 (step @p40 :rule symm :premises (@p39)) % 0.36/0.59 (step @p41 :rule instantiate :premises (@p14) :args (@t21)) % 0.36/0.59 (step @p42 :rule cong :premises (@p41 @p41) :args (@t23)) % 0.36/0.59 (step @p43 :rule trans :premises (@p42 @p40 @p38 @p37 @p31 @p29 @p22)) % 0.36/0.59 (step @p44 :rule refl :args (tptp.a)) % 0.36/0.59 (step @p45 :rule cong :premises (@p44 @p43) :args (@t24)) % 0.36/0.59 (step @p46 :rule trans :premises (@p45 @p16)) % 0.36/0.59 (step @p47 :rule cong :premises (@p46 @p17) :args (@t25)) % 0.36/0.59 (step @p48 :rule trans :premises (@p47 @p11)) % 0.36/0.59 (step @p49 :rule false_elim :premises (@p48)) % 0.36/0.59 (assume-push @p56 @t8) % 0.36/0.59 (step @p51 :rule instantiate :premises (@p3) :args ((@list tptp.a tptp.additive_identity tptp.additive_identity))) % 0.36/0.59 (step-pop @p57 :rule scope :premises (@p51)) % 0.36/0.59 (step @p52 :rule process_scope :premises (@p57) :args (@t25)) % 0.36/0.59 (step @p54 :rule implies_elim :premises (@p52)) % 0.36/0.59 (step @p55 false :rule chain_m_resolution :premises (@p54 @p49 @p3) :args (false (@list true false) (@list @t25 @t8))) % 0.36/0.59 ) % 0.36/0.60 % SZS output end Proof % 0.36/0.60 % cvc5 exiting %------------------------------------------------------------------------------