%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : BOO009-4 : 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 : 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 08:09:01 AM UTC 2026 % Result : Unsatisfiable 15.92s 16.23s % Output : Proof 15.92s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : BOO009-4 : TPTP v9.2.1. Released v1.1.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n027.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 02:36:36 EDT 2026 % 0.16/0.34 % CPUTime : % 0.27/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.27/0.51 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 15.85/16.09 --- Run --no-e-matching --full-saturate-quant at 6... % 15.92/16.23 % SZS status Unsatisfiable % 15.92/16.23 % SZS output start Proof % 15.92/16.23 ( % 15.92/16.23 (declare-sort $$unsorted 0) % 15.92/16.23 (declare-const tptp.b $$unsorted) % 15.92/16.23 (declare-const tptp.inverse (-> $$unsorted $$unsorted)) % 15.92/16.23 (declare-const tptp.a $$unsorted) % 15.92/16.23 (declare-const tptp.multiplicative_identity $$unsorted) % 15.92/16.23 (declare-const tptp.additive_identity $$unsorted) % 15.92/16.23 (declare-const tptp.multiply (-> $$unsorted $$unsorted $$unsorted)) % 15.92/16.23 (declare-const tptp.add (-> $$unsorted $$unsorted $$unsorted)) % 15.92/16.23 (define @t1 () (@var "X" $$unsorted)) % 15.92/16.23 (define @t2 () (@var "Y" $$unsorted)) % 15.92/16.23 (define @t3 () (tptp.add @t1 @t2)) % 15.92/16.23 (define @t4 () (@list @t1 @t2)) % 15.92/16.23 (define @t5 () (forall @t4 (= @t3 (tptp.add @t2 @t1)))) % 15.92/16.23 (define @t6 () (tptp.multiply @t1 @t2)) % 15.92/16.23 (define @t7 () (@var "Z" $$unsorted)) % 15.92/16.23 (define @t8 () (@list @t1 @t2 @t7)) % 15.92/16.23 (define @t9 () (forall @t8 (= (tptp.add @t1 (tptp.multiply @t2 @t7)) (tptp.multiply @t3 (tptp.add @t1 @t7))))) % 15.92/16.23 (define @t10 () (tptp.add @t1 tptp.additive_identity)) % 15.92/16.23 (define @t11 () (@list @t1)) % 15.92/16.23 (define @t12 () (forall @t11 (= @t10 @t1))) % 15.92/16.23 (define @t13 () (tptp.inverse @t1)) % 15.92/16.23 (define @t14 () (tptp.multiply @t1 @t13)) % 15.92/16.23 (define @t15 () (forall @t11 (= @t14 tptp.additive_identity))) % 15.92/16.23 (define @t16 () (tptp.add tptp.a tptp.b)) % 15.92/16.23 (define @t17 () (tptp.multiply (tptp.add tptp.a tptp.additive_identity) @t16)) % 15.92/16.23 (define @t18 () (@list tptp.b)) % 15.92/16.23 (define @t19 () (tptp.inverse tptp.b)) % 15.92/16.23 (define @t20 () (@list tptp.additive_identity tptp.b)) % 15.92/16.23 (define @t21 () (tptp.multiply tptp.additive_identity tptp.b)) % 15.92/16.23 (define @t22 () (tptp.add tptp.additive_identity tptp.b)) % 15.92/16.23 (define @t23 () (tptp.add tptp.b tptp.additive_identity)) % 15.92/16.23 (define @t24 () (= @t22 @t23)) % 15.92/16.23 (define @t25 () (tptp.add tptp.a @t21)) % 15.92/16.23 (define @t26 () (= @t25 @t17)) % 15.92/16.23 (assume @p1 @t5) % 15.92/16.23 (assume @p2 (forall @t4 (= @t6 (tptp.multiply @t2 @t1)))) % 15.92/16.23 (assume @p3 @t9) % 15.92/16.23 (assume @p4 (forall @t8 (= (tptp.multiply @t1 (tptp.add @t2 @t7)) (tptp.add @t6 (tptp.multiply @t1 @t7))))) % 15.92/16.23 (assume @p5 @t12) % 15.92/16.23 (assume @p6 (forall @t11 (= (tptp.multiply @t1 tptp.multiplicative_identity) @t1))) % 15.92/16.23 (assume @p7 (forall @t11 (= (tptp.add @t1 @t13) tptp.multiplicative_identity))) % 15.92/16.23 (assume @p8 @t15) % 15.92/16.23 (assume @p9 (not (= (tptp.multiply tptp.a @t16) tptp.a))) % 15.92/16.23 (step @p10 :rule symm :premises (@p9)) % 15.92/16.23 (step @p11 :rule false_intro :premises (@p10)) % 15.92/16.23 (step @p12 :rule refl :args (@t16)) % 15.92/16.23 (step @p13 :rule eq-symm :args (@t10 @t1)) % 15.92/16.23 (step @p14 :rule cong :premises (@p13) :args (@t12)) % 15.92/16.23 (step @p15 :rule eq_resolve :premises (@p5 @p14)) % 15.92/16.23 (step @p16 :rule instantiate :premises (@p15) :args ((@list tptp.a))) % 15.92/16.23 (step @p17 :rule symm :premises (@p16)) % 15.92/16.23 (step @p18 :rule cong :premises (@p17 @p12) :args (@t17)) % 15.92/16.23 (step @p19 :rule eq-symm :args (@t14 tptp.additive_identity)) % 15.92/16.23 (step @p20 :rule cong :premises (@p19) :args (@t15)) % 15.92/16.23 (step @p21 :rule eq_resolve :premises (@p8 @p20)) % 15.92/16.23 (step @p22 :rule instantiate :premises (@p21) :args (@t18)) % 15.92/16.23 (step @p23 :rule symm :premises (@p22)) % 15.92/16.23 (step @p24 :rule instantiate :premises (@p15) :args ((@list @t19))) % 15.92/16.23 (step @p25 :rule symm :premises (@p24)) % 15.92/16.23 (step @p26 :rule refl :args (tptp.b)) % 15.92/16.23 (step @p27 :rule cong :premises (@p26 @p25) :args ((tptp.multiply tptp.b (tptp.add @t19 tptp.additive_identity)))) % 15.92/16.23 (step @p28 :rule instantiate :premises (@p4) :args ((@list tptp.b @t19 tptp.additive_identity))) % 15.92/16.23 (step @p29 :rule symm :premises (@p28)) % 15.92/16.23 (step @p30 :rule instantiate :premises (@p2) :args (@t20)) % 15.92/16.23 (step @p31 :rule cong :premises (@p22 @p30) :args ((tptp.add tptp.additive_identity @t21))) % 15.92/16.23 (step @p32 :rule instantiate :premises (@p3) :args ((@list tptp.additive_identity tptp.additive_identity tptp.b))) % 15.92/16.23 (step @p33 :rule symm :premises (@p32)) % 15.92/16.23 (step @p34 :rule eq-symm :args (@t22 @t23)) % 15.92/16.23 (step @p35 :rule refl :args (@t5)) % 15.92/16.23 (step @p36 :rule cong :premises (@p35 @p34) :args ((=> @t5 @t24))) % 15.92/16.23 (assume-push @p61 @t5) % 15.92/16.23 (step @p38 :rule instantiate :premises (@p1) :args (@t20)) % 15.92/16.23 (step-pop @p62 :rule scope :premises (@p38)) % 15.92/16.23 (step @p39 :rule process_scope :premises (@p62) :args (@t24)) % 15.92/16.23 (step @p41 :rule eq_resolve :premises (@p39 @p36)) % 15.92/16.23 (step @p42 :rule implies_elim :premises (@p41)) % 15.92/16.23 (step @p43 :rule chain_m_resolution :premises (@p42 @p1) :args ((= @t23 @t22) (@list false) (@list @t5))) % 15.92/16.23 (step @p44 :rule instantiate :premises (@p15) :args (@t18)) % 15.92/16.23 (step @p45 :rule trans :premises (@p44 @p43)) % 15.92/16.23 (step @p46 :rule instantiate :premises (@p15) :args ((@list tptp.additive_identity))) % 15.92/16.23 (step @p47 :rule cong :premises (@p46 @p45) :args (@t21)) % 15.92/16.23 (step @p48 :rule trans :premises (@p47 @p33 @p31 @p29 @p27 @p23)) % 15.92/16.23 (step @p49 :rule refl :args (tptp.a)) % 15.92/16.23 (step @p50 :rule cong :premises (@p49 @p48) :args (@t25)) % 15.92/16.23 (step @p51 :rule trans :premises (@p50 @p17)) % 15.92/16.23 (step @p52 :rule cong :premises (@p51 @p18) :args (@t26)) % 15.92/16.23 (step @p53 :rule trans :premises (@p52 @p11)) % 15.92/16.23 (step @p54 :rule false_elim :premises (@p53)) % 15.92/16.23 (assume-push @p63 @t9) % 15.92/16.23 (step @p56 :rule instantiate :premises (@p3) :args ((@list tptp.a tptp.additive_identity tptp.b))) % 15.92/16.23 (step-pop @p64 :rule scope :premises (@p56)) % 15.92/16.23 (step @p57 :rule process_scope :premises (@p64) :args (@t26)) % 15.92/16.23 (step @p59 :rule implies_elim :premises (@p57)) % 15.92/16.23 (step @p60 false :rule chain_m_resolution :premises (@p59 @p54 @p3) :args (false (@list true false) (@list @t26 @t9))) % 15.92/16.23 ) % 15.92/16.24 % SZS output end Proof % 15.92/16.24 % cvc5 exiting %------------------------------------------------------------------------------