%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : BOO004-2 : TPTP v9.2.1. Released v1.0.0. % 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 0.38s 0.58s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : BOO004-2 : TPTP v9.2.1. Released v1.0.0. % 0.00/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n008.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 02:35:03 EDT 2026 % 0.17/0.34 % CPUTime : % 0.29/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.29/0.51 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.38/0.58 % SZS status Unsatisfiable % 0.38/0.58 % SZS output start Proof % 0.38/0.59 ( % 0.38/0.59 (declare-sort $$unsorted 0) % 0.38/0.59 (declare-const tptp.a $$unsorted) % 0.38/0.59 (declare-const tptp.additive_identity $$unsorted) % 0.38/0.59 (declare-const tptp.inverse (-> $$unsorted $$unsorted)) % 0.38/0.59 (declare-const tptp.multiplicative_identity $$unsorted) % 0.38/0.59 (declare-const tptp.multiply (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.59 (declare-const tptp.add (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.59 (define @t1 () (@var "X" $$unsorted)) % 0.38/0.59 (define @t2 () (@var "Y" $$unsorted)) % 0.38/0.59 (define @t3 () (tptp.add @t1 @t2)) % 0.38/0.59 (define @t4 () (@list @t1 @t2)) % 0.38/0.59 (define @t5 () (tptp.multiply @t1 @t2)) % 0.38/0.59 (define @t6 () (@var "Z" $$unsorted)) % 0.38/0.59 (define @t7 () (tptp.add @t2 @t6)) % 0.38/0.59 (define @t8 () (tptp.add @t1 @t6)) % 0.38/0.59 (define @t9 () (@list @t1 @t2 @t6)) % 0.38/0.59 (define @t10 () (tptp.multiply @t2 @t6)) % 0.38/0.59 (define @t11 () (tptp.multiply @t1 @t6)) % 0.38/0.59 (define @t12 () (forall @t9 (= (tptp.multiply @t3 @t6) (tptp.add @t11 @t10)))) % 0.38/0.59 (define @t13 () (forall @t9 (= (tptp.multiply @t1 @t7) (tptp.add @t5 @t11)))) % 0.38/0.59 (define @t14 () (tptp.inverse @t1)) % 0.38/0.59 (define @t15 () (@list @t1)) % 0.38/0.59 (define @t16 () (tptp.add @t14 @t1)) % 0.38/0.59 (define @t17 () (forall @t15 (= @t16 tptp.multiplicative_identity))) % 0.38/0.59 (define @t18 () (tptp.multiply @t14 @t1)) % 0.38/0.59 (define @t19 () (forall @t15 (= @t18 tptp.additive_identity))) % 0.38/0.59 (define @t20 () (tptp.multiply @t1 tptp.multiplicative_identity)) % 0.38/0.59 (define @t21 () (forall @t15 (= @t20 @t1))) % 0.38/0.59 (define @t22 () (tptp.multiply tptp.multiplicative_identity @t1)) % 0.38/0.59 (define @t23 () (forall @t15 (= @t22 @t1))) % 0.38/0.59 (define @t24 () (tptp.add @t1 tptp.additive_identity)) % 0.38/0.59 (define @t25 () (forall @t15 (= @t24 @t1))) % 0.38/0.59 (define @t26 () (tptp.multiply tptp.multiplicative_identity tptp.a)) % 0.38/0.59 (define @t27 () (tptp.add @t26 @t26)) % 0.38/0.59 (define @t28 () (@list tptp.multiplicative_identity)) % 0.38/0.59 (define @t29 () (tptp.inverse tptp.multiplicative_identity)) % 0.38/0.59 (define @t30 () (tptp.add tptp.multiplicative_identity tptp.multiplicative_identity)) % 0.38/0.59 (define @t31 () (tptp.multiply tptp.multiplicative_identity @t30)) % 0.38/0.59 (define @t32 () (tptp.multiply tptp.multiplicative_identity tptp.multiplicative_identity)) % 0.38/0.59 (define @t33 () (tptp.add @t32 @t32)) % 0.38/0.59 (define @t34 () (= @t31 @t33)) % 0.38/0.59 (define @t35 () (@list tptp.multiplicative_identity tptp.multiplicative_identity tptp.multiplicative_identity)) % 0.38/0.59 (define @t36 () (tptp.multiply @t30 tptp.a)) % 0.38/0.59 (define @t37 () (= @t36 @t27)) % 0.38/0.59 (assume @p1 (forall @t4 (= @t3 (tptp.add @t2 @t1)))) % 0.38/0.59 (assume @p2 (forall @t4 (= @t5 (tptp.multiply @t2 @t1)))) % 0.38/0.59 (assume @p3 (forall @t9 (= (tptp.add @t5 @t6) (tptp.multiply @t8 @t7)))) % 0.38/0.59 (assume @p4 (forall @t9 (= (tptp.add @t1 @t10) (tptp.multiply @t3 @t8)))) % 0.38/0.59 (assume @p5 @t12) % 0.38/0.59 (assume @p6 @t13) % 0.38/0.59 (assume @p7 (forall @t15 (= (tptp.add @t1 @t14) tptp.multiplicative_identity))) % 0.38/0.59 (assume @p8 @t17) % 0.38/0.59 (assume @p9 (forall @t15 (= (tptp.multiply @t1 @t14) tptp.additive_identity))) % 0.38/0.59 (assume @p10 @t19) % 0.38/0.59 (assume @p11 @t21) % 0.38/0.59 (assume @p12 @t23) % 0.38/0.59 (assume @p13 @t25) % 0.38/0.59 (assume @p14 (forall @t15 (= (tptp.add tptp.additive_identity @t1) @t1))) % 0.38/0.59 (assume @p15 (not (= (tptp.add tptp.a tptp.a) tptp.a))) % 0.38/0.59 (step @p16 :rule symm :premises (@p15)) % 0.38/0.59 (step @p17 :rule false_intro :premises (@p16)) % 0.38/0.59 (step @p18 :rule eq-symm :args (@t22 @t1)) % 0.38/0.59 (step @p19 :rule cong :premises (@p18) :args (@t23)) % 0.38/0.59 (step @p20 :rule eq_resolve :premises (@p12 @p19)) % 0.38/0.59 (step @p21 :rule instantiate :premises (@p20) :args ((@list tptp.a))) % 0.38/0.59 (step @p22 :rule symm :premises (@p21)) % 0.38/0.59 (step @p23 :rule cong :premises (@p22 @p22) :args (@t27)) % 0.38/0.59 (step @p24 :rule refl :args (tptp.a)) % 0.38/0.59 (step @p25 :rule eq-symm :args (@t24 @t1)) % 0.38/0.59 (step @p26 :rule cong :premises (@p25) :args (@t25)) % 0.38/0.59 (step @p27 :rule eq_resolve :premises (@p13 @p26)) % 0.38/0.59 (step @p28 :rule instantiate :premises (@p27) :args (@t28)) % 0.38/0.59 (step @p29 :rule symm :premises (@p28)) % 0.38/0.59 (step @p30 :rule instantiate :premises (@p1) :args ((@list tptp.multiplicative_identity tptp.additive_identity))) % 0.38/0.59 (step @p31 :rule symm :premises (@p30)) % 0.38/0.59 (step @p32 :rule refl :args (tptp.multiplicative_identity)) % 0.38/0.59 (step @p33 :rule eq-symm :args (@t18 tptp.additive_identity)) % 0.38/0.59 (step @p34 :rule cong :premises (@p33) :args (@t19)) % 0.38/0.59 (step @p35 :rule eq_resolve :premises (@p10 @p34)) % 0.38/0.59 (step @p36 :rule instantiate :premises (@p35) :args (@t28)) % 0.38/0.59 (step @p37 :rule symm :premises (@p36)) % 0.38/0.59 (step @p38 :rule cong :premises (@p37 @p32) :args ((tptp.add (tptp.multiply @t29 tptp.multiplicative_identity) tptp.multiplicative_identity))) % 0.38/0.59 (step @p39 :rule instantiate :premises (@p3) :args ((@list @t29 tptp.multiplicative_identity tptp.multiplicative_identity))) % 0.38/0.59 (step @p40 :rule symm :premises (@p39)) % 0.38/0.59 (step @p41 :rule refl :args (@t30)) % 0.38/0.59 (step @p42 :rule eq-symm :args (@t16 tptp.multiplicative_identity)) % 0.38/0.59 (step @p43 :rule cong :premises (@p42) :args (@t17)) % 0.38/0.59 (step @p44 :rule eq_resolve :premises (@p8 @p43)) % 0.38/0.59 (step @p45 :rule instantiate :premises (@p44) :args (@t28)) % 0.38/0.59 (step @p46 :rule cong :premises (@p45 @p41) :args (@t31)) % 0.38/0.59 (step @p47 :rule eq-symm :args (@t31 @t33)) % 0.38/0.59 (step @p48 :rule refl :args (@t13)) % 0.38/0.59 (step @p49 :rule cong :premises (@p48 @p47) :args ((=> @t13 @t34))) % 0.38/0.59 (assume-push @p79 @t13) % 0.38/0.59 (step @p51 :rule instantiate :premises (@p6) :args (@t35)) % 0.38/0.59 (step-pop @p80 :rule scope :premises (@p51)) % 0.38/0.59 (step @p52 :rule process_scope :premises (@p80) :args (@t34)) % 0.38/0.59 (step @p54 :rule eq_resolve :premises (@p52 @p49)) % 0.38/0.59 (step @p55 :rule implies_elim :premises (@p54)) % 0.38/0.59 (step @p56 :rule chain_m_resolution :premises (@p55 @p6) :args ((= @t33 @t31) (@list false) (@list @t13))) % 0.38/0.59 (step @p57 :rule eq-symm :args (@t20 @t1)) % 0.38/0.59 (step @p58 :rule cong :premises (@p57) :args (@t21)) % 0.38/0.59 (step @p59 :rule eq_resolve :premises (@p11 @p58)) % 0.38/0.59 (step @p60 :rule instantiate :premises (@p59) :args (@t28)) % 0.38/0.59 (step @p61 :rule refl :args (@t32)) % 0.38/0.59 (step @p62 :rule cong :premises (@p61 @p60) :args ((tptp.add @t32 tptp.multiplicative_identity))) % 0.38/0.59 (step @p63 :rule instantiate :premises (@p3) :args (@t35)) % 0.38/0.59 (step @p64 :rule symm :premises (@p63)) % 0.38/0.59 (step @p65 :rule instantiate :premises (@p4) :args (@t35)) % 0.38/0.59 (step @p66 :rule cong :premises (@p32 @p60) :args (@t30)) % 0.38/0.59 (step @p67 :rule trans :premises (@p66 @p65 @p64 @p62 @p56 @p46 @p40 @p38 @p31 @p29)) % 0.38/0.59 (step @p68 :rule cong :premises (@p67 @p24) :args (@t36)) % 0.38/0.59 (step @p69 :rule trans :premises (@p68 @p22)) % 0.38/0.59 (step @p70 :rule cong :premises (@p69 @p23) :args (@t37)) % 0.38/0.59 (step @p71 :rule trans :premises (@p70 @p17)) % 0.38/0.59 (step @p72 :rule false_elim :premises (@p71)) % 0.38/0.59 (assume-push @p81 @t12) % 0.38/0.59 (step @p74 :rule instantiate :premises (@p5) :args ((@list tptp.multiplicative_identity tptp.multiplicative_identity tptp.a))) % 0.38/0.59 (step-pop @p82 :rule scope :premises (@p74)) % 0.38/0.59 (step @p75 :rule process_scope :premises (@p82) :args (@t37)) % 0.38/0.59 (step @p77 :rule implies_elim :premises (@p75)) % 0.38/0.59 (step @p78 false :rule chain_m_resolution :premises (@p77 @p72 @p5) :args (false (@list true false) (@list @t37 @t12))) % 0.38/0.59 ) % 0.38/0.59 % SZS output end Proof % 0.38/0.59 % cvc5 exiting %------------------------------------------------------------------------------