%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : BOO010-4 : 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 : n019.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 15.93s 16.21s % Output : Proof 15.93s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : BOO010-4 : 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 % 0.17/0.35 % Computer : n019.cluster.edu % 0.17/0.35 % Model : x86_64 x86_64 % 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.35 % Memory : 8042.1875MB % 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Wed Jun 3 02:36:04 EDT 2026 % 0.17/0.35 % CPUTime : % 0.28/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.28/0.52 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 15.85/16.08 --- Run --no-e-matching --full-saturate-quant at 6... % 15.93/16.21 % SZS status Unsatisfiable % 15.93/16.21 % SZS output start Proof % 15.93/16.21 ( % 15.93/16.21 (declare-sort $$unsorted 0) % 15.93/16.21 (declare-const tptp.b $$unsorted) % 15.93/16.21 (declare-const tptp.inverse (-> $$unsorted $$unsorted)) % 15.93/16.21 (declare-const tptp.a $$unsorted) % 15.93/16.21 (declare-const tptp.multiplicative_identity $$unsorted) % 15.93/16.21 (declare-const tptp.additive_identity $$unsorted) % 15.93/16.21 (declare-const tptp.multiply (-> $$unsorted $$unsorted $$unsorted)) % 15.93/16.21 (declare-const tptp.add (-> $$unsorted $$unsorted $$unsorted)) % 15.93/16.21 (define @t1 () (@var "X" $$unsorted)) % 15.93/16.21 (define @t2 () (@var "Y" $$unsorted)) % 15.93/16.21 (define @t3 () (tptp.add @t1 @t2)) % 15.93/16.21 (define @t4 () (@list @t1 @t2)) % 15.93/16.21 (define @t5 () (forall @t4 (= @t3 (tptp.add @t2 @t1)))) % 15.93/16.21 (define @t6 () (tptp.multiply @t1 @t2)) % 15.93/16.21 (define @t7 () (forall @t4 (= @t6 (tptp.multiply @t2 @t1)))) % 15.93/16.21 (define @t8 () (@var "Z" $$unsorted)) % 15.93/16.21 (define @t9 () (@list @t1 @t2 @t8)) % 15.93/16.21 (define @t10 () (forall @t9 (= (tptp.multiply @t1 (tptp.add @t2 @t8)) (tptp.add @t6 (tptp.multiply @t1 @t8))))) % 15.93/16.21 (define @t11 () (tptp.add @t1 tptp.additive_identity)) % 15.93/16.21 (define @t12 () (@list @t1)) % 15.93/16.21 (define @t13 () (forall @t12 (= @t11 @t1))) % 15.93/16.21 (define @t14 () (tptp.multiply @t1 tptp.multiplicative_identity)) % 15.93/16.21 (define @t15 () (forall @t12 (= @t14 @t1))) % 15.93/16.21 (define @t16 () (tptp.inverse @t1)) % 15.93/16.21 (define @t17 () (tptp.multiply @t1 @t16)) % 15.93/16.21 (define @t18 () (forall @t12 (= @t17 tptp.additive_identity))) % 15.93/16.21 (define @t19 () (tptp.multiply tptp.a tptp.b)) % 15.93/16.21 (define @t20 () (tptp.add (tptp.multiply tptp.a tptp.multiplicative_identity) @t19)) % 15.93/16.21 (define @t21 () (@list tptp.multiplicative_identity)) % 15.93/16.21 (define @t22 () (@list tptp.b)) % 15.93/16.21 (define @t23 () (tptp.inverse tptp.b)) % 15.93/16.21 (define @t24 () (@list tptp.additive_identity tptp.b)) % 15.93/16.21 (define @t25 () (tptp.multiply tptp.additive_identity tptp.b)) % 15.93/16.21 (define @t26 () (tptp.add tptp.additive_identity tptp.b)) % 15.93/16.21 (define @t27 () (tptp.add tptp.b tptp.additive_identity)) % 15.93/16.21 (define @t28 () (= @t26 @t27)) % 15.93/16.21 (define @t29 () (@list false)) % 15.93/16.21 (define @t30 () (tptp.multiply tptp.multiplicative_identity tptp.b)) % 15.93/16.21 (define @t31 () (tptp.multiply tptp.b tptp.multiplicative_identity)) % 15.93/16.21 (define @t32 () (= @t30 @t31)) % 15.93/16.21 (define @t33 () (tptp.add tptp.additive_identity tptp.multiplicative_identity)) % 15.93/16.21 (define @t34 () (tptp.add tptp.multiplicative_identity tptp.b)) % 15.93/16.21 (define @t35 () (tptp.multiply tptp.a @t34)) % 15.93/16.21 (define @t36 () (= @t35 @t20)) % 15.93/16.21 (assume @p1 @t5) % 15.93/16.21 (assume @p2 @t7) % 15.93/16.21 (assume @p3 (forall @t9 (= (tptp.add @t1 (tptp.multiply @t2 @t8)) (tptp.multiply @t3 (tptp.add @t1 @t8))))) % 15.93/16.21 (assume @p4 @t10) % 15.93/16.21 (assume @p5 @t13) % 15.93/16.21 (assume @p6 @t15) % 15.93/16.21 (assume @p7 (forall @t12 (= (tptp.add @t1 @t16) tptp.multiplicative_identity))) % 15.93/16.21 (assume @p8 @t18) % 15.93/16.21 (assume @p9 (not (= (tptp.add tptp.a @t19) tptp.a))) % 15.93/16.21 (step @p10 :rule symm :premises (@p9)) % 15.93/16.21 (step @p11 :rule false_intro :premises (@p10)) % 15.93/16.21 (step @p12 :rule refl :args (@t19)) % 15.93/16.21 (step @p13 :rule eq-symm :args (@t14 @t1)) % 15.93/16.21 (step @p14 :rule cong :premises (@p13) :args (@t15)) % 15.93/16.21 (step @p15 :rule eq_resolve :premises (@p6 @p14)) % 15.93/16.21 (step @p16 :rule instantiate :premises (@p15) :args ((@list tptp.a))) % 15.93/16.21 (step @p17 :rule symm :premises (@p16)) % 15.93/16.21 (step @p18 :rule cong :premises (@p17 @p12) :args (@t20)) % 15.93/16.21 (step @p19 :rule eq-symm :args (@t11 @t1)) % 15.93/16.21 (step @p20 :rule cong :premises (@p19) :args (@t13)) % 15.93/16.21 (step @p21 :rule eq_resolve :premises (@p5 @p20)) % 15.93/16.21 (step @p22 :rule instantiate :premises (@p21) :args (@t21)) % 15.93/16.21 (step @p23 :rule symm :premises (@p22)) % 15.93/16.21 (step @p24 :rule eq-symm :args (@t17 tptp.additive_identity)) % 15.93/16.21 (step @p25 :rule cong :premises (@p24) :args (@t18)) % 15.93/16.21 (step @p26 :rule eq_resolve :premises (@p8 @p25)) % 15.93/16.21 (step @p27 :rule instantiate :premises (@p26) :args (@t22)) % 15.93/16.21 (step @p28 :rule symm :premises (@p27)) % 15.93/16.21 (step @p29 :rule instantiate :premises (@p21) :args ((@list @t23))) % 15.93/16.21 (step @p30 :rule symm :premises (@p29)) % 15.93/16.21 (step @p31 :rule refl :args (tptp.b)) % 15.93/16.21 (step @p32 :rule cong :premises (@p31 @p30) :args ((tptp.multiply tptp.b (tptp.add @t23 tptp.additive_identity)))) % 15.93/16.21 (step @p33 :rule instantiate :premises (@p4) :args ((@list tptp.b @t23 tptp.additive_identity))) % 15.93/16.21 (step @p34 :rule symm :premises (@p33)) % 15.93/16.21 (step @p35 :rule instantiate :premises (@p2) :args (@t24)) % 15.93/16.21 (step @p36 :rule cong :premises (@p27 @p35) :args ((tptp.add tptp.additive_identity @t25))) % 15.93/16.21 (step @p37 :rule instantiate :premises (@p3) :args ((@list tptp.additive_identity tptp.additive_identity tptp.b))) % 15.93/16.21 (step @p38 :rule symm :premises (@p37)) % 15.93/16.21 (step @p39 :rule eq-symm :args (@t26 @t27)) % 15.93/16.21 (step @p40 :rule refl :args (@t5)) % 15.93/16.21 (step @p41 :rule cong :premises (@p40 @p39) :args ((=> @t5 @t28))) % 15.93/16.21 (assume-push @p94 @t5) % 15.93/16.21 (step @p43 :rule instantiate :premises (@p1) :args (@t24)) % 15.93/16.21 (step-pop @p95 :rule scope :premises (@p43)) % 15.93/16.21 (step @p44 :rule process_scope :premises (@p95) :args (@t28)) % 15.93/16.21 (step @p46 :rule eq_resolve :premises (@p44 @p41)) % 15.93/16.21 (step @p47 :rule implies_elim :premises (@p46)) % 15.93/16.21 (step @p48 :rule chain_m_resolution :premises (@p47 @p1) :args ((= @t27 @t26) @t29 (@list @t5))) % 15.93/16.21 (step @p49 :rule instantiate :premises (@p21) :args (@t22)) % 15.93/16.21 (step @p50 :rule trans :premises (@p49 @p48)) % 15.93/16.21 (step @p51 :rule instantiate :premises (@p21) :args ((@list tptp.additive_identity))) % 15.93/16.21 (step @p52 :rule cong :premises (@p51 @p50) :args (@t25)) % 15.93/16.21 (step @p53 :rule trans :premises (@p52 @p38 @p36 @p34 @p32 @p28)) % 15.93/16.21 (step @p54 :rule refl :args (tptp.multiplicative_identity)) % 15.93/16.21 (step @p55 :rule cong :premises (@p54 @p53) :args ((tptp.add tptp.multiplicative_identity @t25))) % 15.93/16.21 (step @p56 :rule instantiate :premises (@p3) :args ((@list tptp.multiplicative_identity tptp.additive_identity tptp.b))) % 15.93/16.21 (step @p57 :rule symm :premises (@p56)) % 15.93/16.21 (step @p58 :rule instantiate :premises (@p4) :args ((@list (tptp.add tptp.multiplicative_identity tptp.additive_identity) tptp.multiplicative_identity tptp.b))) % 15.93/16.21 (step @p59 :rule symm :premises (@p58)) % 15.93/16.21 (step @p60 :rule cong :premises (@p22 @p31) :args (@t30)) % 15.93/16.21 (step @p61 :rule eq-symm :args (@t30 @t31)) % 15.93/16.21 (step @p62 :rule refl :args (@t7)) % 15.93/16.21 (step @p63 :rule cong :premises (@p62 @p61) :args ((=> @t7 @t32))) % 15.93/16.21 (assume-push @p96 @t7) % 15.93/16.21 (step @p65 :rule instantiate :premises (@p2) :args ((@list tptp.multiplicative_identity tptp.b))) % 15.93/16.21 (step-pop @p97 :rule scope :premises (@p65)) % 15.93/16.21 (step @p66 :rule process_scope :premises (@p97) :args (@t32)) % 15.93/16.21 (step @p68 :rule eq_resolve :premises (@p66 @p63)) % 15.93/16.21 (step @p69 :rule implies_elim :premises (@p68)) % 15.93/16.21 (step @p70 :rule chain_m_resolution :premises (@p69 @p2) :args ((= @t31 @t30) @t29 (@list @t7))) % 15.93/16.21 (step @p71 :rule instantiate :premises (@p15) :args (@t22)) % 15.93/16.21 (step @p72 :rule trans :premises (@p71 @p70 @p60)) % 15.93/16.21 (step @p73 :rule instantiate :premises (@p1) :args ((@list tptp.additive_identity tptp.multiplicative_identity))) % 15.93/16.21 (step @p74 :rule trans :premises (@p73 @p23)) % 15.93/16.21 (step @p75 :rule cong :premises (@p73 @p74) :args ((tptp.multiply @t33 @t33))) % 15.93/16.21 (step @p76 :rule symm :premises (@p74)) % 15.93/16.21 (step @p77 :rule cong :premises (@p76 @p76) :args ((tptp.multiply tptp.multiplicative_identity tptp.multiplicative_identity))) % 15.93/16.21 (step @p78 :rule instantiate :premises (@p15) :args (@t21)) % 15.93/16.21 (step @p79 :rule trans :premises (@p78 @p77 @p75)) % 15.93/16.21 (step @p80 :rule cong :premises (@p79 @p72) :args (@t34)) % 15.93/16.21 (step @p81 :rule trans :premises (@p80 @p59 @p57 @p55 @p23)) % 15.93/16.21 (step @p82 :rule refl :args (tptp.a)) % 15.93/16.21 (step @p83 :rule cong :premises (@p82 @p81) :args (@t35)) % 15.93/16.21 (step @p84 :rule trans :premises (@p83 @p17)) % 15.93/16.21 (step @p85 :rule cong :premises (@p84 @p18) :args (@t36)) % 15.93/16.21 (step @p86 :rule trans :premises (@p85 @p11)) % 15.93/16.21 (step @p87 :rule false_elim :premises (@p86)) % 15.93/16.21 (assume-push @p98 @t10) % 15.93/16.21 (step @p89 :rule instantiate :premises (@p4) :args ((@list tptp.a tptp.multiplicative_identity tptp.b))) % 15.93/16.21 (step-pop @p99 :rule scope :premises (@p89)) % 15.93/16.21 (step @p90 :rule process_scope :premises (@p99) :args (@t36)) % 15.93/16.21 (step @p92 :rule implies_elim :premises (@p90)) % 15.93/16.21 (step @p93 false :rule chain_m_resolution :premises (@p92 @p87 @p4) :args (false (@list true false) (@list @t36 @t10))) % 15.93/16.21 ) % 15.93/16.22 % SZS output end Proof % 15.93/16.22 % cvc5 exiting %------------------------------------------------------------------------------