%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : BOO009-2 : 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 : n029.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 0.35s 15.99s % Output : Proof 0.35s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : BOO009-2 : TPTP v9.2.1. Released v1.0.0. % 0.11/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n029.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 02:36:32 EDT 2026 % 0.16/0.34 % CPUTime : % 0.29/0.49 %----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... % 0.35/15.92 --- Run --no-e-matching --full-saturate-quant at 6... % 0.35/15.99 % SZS status Unsatisfiable % 0.35/15.99 % SZS output start Proof % 0.35/15.99 ( % 0.35/15.99 (declare-sort $$unsorted 0) % 0.35/15.99 (declare-const tptp.b $$unsorted) % 0.35/15.99 (declare-const tptp.a $$unsorted) % 0.35/15.99 (declare-const tptp.additive_identity $$unsorted) % 0.35/15.99 (declare-const tptp.inverse (-> $$unsorted $$unsorted)) % 0.35/15.99 (declare-const tptp.multiplicative_identity $$unsorted) % 0.35/15.99 (declare-const tptp.multiply (-> $$unsorted $$unsorted $$unsorted)) % 0.35/15.99 (declare-const tptp.add (-> $$unsorted $$unsorted $$unsorted)) % 0.35/15.99 (define @t1 () (@var "X" $$unsorted)) % 0.35/15.99 (define @t2 () (@var "Y" $$unsorted)) % 0.35/15.99 (define @t3 () (tptp.add @t1 @t2)) % 0.35/15.99 (define @t4 () (@list @t1 @t2)) % 0.35/15.99 (define @t5 () (tptp.multiply @t1 @t2)) % 0.35/15.99 (define @t6 () (@var "Z" $$unsorted)) % 0.35/15.99 (define @t7 () (tptp.add @t2 @t6)) % 0.35/15.99 (define @t8 () (tptp.add @t1 @t6)) % 0.35/15.99 (define @t9 () (@list @t1 @t2 @t6)) % 0.35/15.99 (define @t10 () (forall @t9 (= (tptp.add @t5 @t6) (tptp.multiply @t8 @t7)))) % 0.35/15.99 (define @t11 () (tptp.multiply @t2 @t6)) % 0.35/15.99 (define @t12 () (forall @t9 (= (tptp.add @t1 @t11) (tptp.multiply @t3 @t8)))) % 0.35/15.99 (define @t13 () (tptp.multiply @t1 @t6)) % 0.35/15.99 (define @t14 () (tptp.inverse @t1)) % 0.35/15.99 (define @t15 () (@list @t1)) % 0.35/15.99 (define @t16 () (tptp.add @t14 @t1)) % 0.35/15.99 (define @t17 () (forall @t15 (= @t16 tptp.multiplicative_identity))) % 0.35/15.99 (define @t18 () (tptp.multiply @t1 @t14)) % 0.35/15.99 (define @t19 () (forall @t15 (= @t18 tptp.additive_identity))) % 0.35/15.99 (define @t20 () (tptp.multiply @t14 @t1)) % 0.35/15.99 (define @t21 () (forall @t15 (= @t20 tptp.additive_identity))) % 0.35/15.99 (define @t22 () (tptp.multiply @t1 tptp.multiplicative_identity)) % 0.35/15.99 (define @t23 () (forall @t15 (= @t22 @t1))) % 0.35/15.99 (define @t24 () (tptp.add @t1 tptp.additive_identity)) % 0.35/15.99 (define @t25 () (forall @t15 (= @t24 @t1))) % 0.35/15.99 (define @t26 () (tptp.add tptp.additive_identity @t1)) % 0.35/15.99 (define @t27 () (forall @t15 (= @t26 @t1))) % 0.35/15.99 (define @t28 () (tptp.multiply (tptp.add tptp.additive_identity tptp.a) (tptp.add tptp.b tptp.a))) % 0.35/15.99 (define @t29 () (@list tptp.b)) % 0.35/15.99 (define @t30 () (tptp.inverse tptp.b)) % 0.35/15.99 (define @t31 () (@list tptp.multiplicative_identity)) % 0.35/15.99 (define @t32 () (tptp.inverse tptp.multiplicative_identity)) % 0.35/15.99 (define @t33 () (tptp.add tptp.multiplicative_identity tptp.multiplicative_identity)) % 0.35/15.99 (define @t34 () (@list tptp.multiplicative_identity tptp.multiplicative_identity tptp.multiplicative_identity)) % 0.35/15.99 (define @t35 () (tptp.multiply tptp.multiplicative_identity tptp.multiplicative_identity)) % 0.35/15.99 (define @t36 () (tptp.add tptp.multiplicative_identity @t35)) % 0.35/15.99 (define @t37 () (tptp.multiply @t33 @t33)) % 0.35/15.99 (define @t38 () (= @t36 @t37)) % 0.35/15.99 (define @t39 () (@list false)) % 0.35/15.99 (define @t40 () (tptp.multiply tptp.additive_identity tptp.additive_identity)) % 0.35/15.99 (define @t41 () (tptp.add @t40 tptp.additive_identity)) % 0.35/15.99 (define @t42 () (tptp.add tptp.additive_identity tptp.additive_identity)) % 0.35/15.99 (define @t43 () (tptp.multiply @t42 @t42)) % 0.35/15.99 (define @t44 () (= @t41 @t43)) % 0.35/15.99 (define @t45 () (@list tptp.additive_identity tptp.additive_identity tptp.additive_identity)) % 0.35/15.99 (define @t46 () (tptp.multiply tptp.additive_identity tptp.b)) % 0.35/15.99 (define @t47 () (tptp.add @t46 tptp.a)) % 0.35/15.99 (define @t48 () (= @t47 @t28)) % 0.35/15.99 (assume @p1 (forall @t4 (= @t3 (tptp.add @t2 @t1)))) % 0.35/15.99 (assume @p2 (forall @t4 (= @t5 (tptp.multiply @t2 @t1)))) % 0.35/15.99 (assume @p3 @t10) % 0.35/15.99 (assume @p4 @t12) % 0.35/15.99 (assume @p5 (forall @t9 (= (tptp.multiply @t3 @t6) (tptp.add @t13 @t11)))) % 0.35/15.99 (assume @p6 (forall @t9 (= (tptp.multiply @t1 @t7) (tptp.add @t5 @t13)))) % 0.35/15.99 (assume @p7 (forall @t15 (= (tptp.add @t1 @t14) tptp.multiplicative_identity))) % 0.35/15.99 (assume @p8 @t17) % 0.35/15.99 (assume @p9 @t19) % 0.35/15.99 (assume @p10 @t21) % 0.35/15.99 (assume @p11 @t23) % 0.35/15.99 (assume @p12 (forall @t15 (= (tptp.multiply tptp.multiplicative_identity @t1) @t1))) % 0.35/15.99 (assume @p13 @t25) % 0.35/15.99 (assume @p14 @t27) % 0.35/15.99 (assume @p15 (not (= (tptp.multiply tptp.a (tptp.add tptp.a tptp.b)) tptp.a))) % 0.35/15.99 (step @p16 :rule symm :premises (@p15)) % 0.35/15.99 (step @p17 :rule false_intro :premises (@p16)) % 0.35/15.99 (step @p18 :rule instantiate :premises (@p1) :args ((@list tptp.a tptp.b))) % 0.35/15.99 (step @p19 :rule symm :premises (@p18)) % 0.35/15.99 (step @p20 :rule eq-symm :args (@t24 @t1)) % 0.35/15.99 (step @p21 :rule cong :premises (@p20) :args (@t25)) % 0.35/15.99 (step @p22 :rule eq_resolve :premises (@p13 @p21)) % 0.35/15.99 (step @p23 :rule instantiate :premises (@p22) :args ((@list tptp.a))) % 0.35/15.99 (step @p24 :rule symm :premises (@p23)) % 0.35/15.99 (step @p25 :rule instantiate :premises (@p1) :args ((@list tptp.additive_identity tptp.a))) % 0.35/15.99 (step @p26 :rule trans :premises (@p25 @p24)) % 0.35/15.99 (step @p27 :rule cong :premises (@p26 @p19) :args (@t28)) % 0.35/15.99 (step @p28 :rule refl :args (tptp.a)) % 0.35/15.99 (step @p29 :rule eq-symm :args (@t20 tptp.additive_identity)) % 0.35/15.99 (step @p30 :rule cong :premises (@p29) :args (@t21)) % 0.35/15.99 (step @p31 :rule eq_resolve :premises (@p10 @p30)) % 0.35/15.99 (step @p32 :rule instantiate :premises (@p31) :args (@t29)) % 0.35/15.99 (step @p33 :rule symm :premises (@p32)) % 0.35/15.99 (step @p34 :rule refl :args (tptp.b)) % 0.35/15.99 (step @p35 :rule eq-symm :args (@t26 @t1)) % 0.35/15.99 (step @p36 :rule cong :premises (@p35) :args (@t27)) % 0.35/15.99 (step @p37 :rule eq_resolve :premises (@p14 @p36)) % 0.35/15.99 (step @p38 :rule instantiate :premises (@p37) :args ((@list @t30))) % 0.35/15.99 (step @p39 :rule symm :premises (@p38)) % 0.35/15.99 (step @p40 :rule cong :premises (@p39 @p34) :args ((tptp.multiply (tptp.add tptp.additive_identity @t30) tptp.b))) % 0.35/15.99 (step @p41 :rule instantiate :premises (@p5) :args ((@list tptp.additive_identity @t30 tptp.b))) % 0.35/15.99 (step @p42 :rule symm :premises (@p41)) % 0.35/15.99 (step @p43 :rule eq-symm :args (@t18 tptp.additive_identity)) % 0.35/15.99 (step @p44 :rule cong :premises (@p43) :args (@t19)) % 0.35/15.99 (step @p45 :rule eq_resolve :premises (@p9 @p44)) % 0.35/15.99 (step @p46 :rule instantiate :premises (@p45) :args (@t31)) % 0.35/15.99 (step @p47 :rule symm :premises (@p46)) % 0.35/15.99 (step @p48 :rule eq-symm :args (@t22 @t1)) % 0.35/15.99 (step @p49 :rule cong :premises (@p48) :args (@t23)) % 0.35/15.99 (step @p50 :rule eq_resolve :premises (@p11 @p49)) % 0.35/15.99 (step @p51 :rule instantiate :premises (@p50) :args ((@list @t32))) % 0.35/15.99 (step @p52 :rule symm :premises (@p51)) % 0.35/15.99 (step @p53 :rule instantiate :premises (@p31) :args (@t31)) % 0.35/15.99 (step @p54 :rule trans :premises (@p53 @p52)) % 0.35/15.99 (step @p55 :rule refl :args (tptp.multiplicative_identity)) % 0.35/15.99 (step @p56 :rule cong :premises (@p55 @p54) :args ((tptp.multiply tptp.multiplicative_identity tptp.additive_identity))) % 0.35/15.99 (step @p57 :rule refl :args (tptp.additive_identity)) % 0.35/15.99 (step @p58 :rule instantiate :premises (@p22) :args (@t31)) % 0.35/15.99 (step @p59 :rule symm :premises (@p58)) % 0.35/15.99 (step @p60 :rule instantiate :premises (@p1) :args ((@list tptp.multiplicative_identity tptp.additive_identity))) % 0.35/15.99 (step @p61 :rule symm :premises (@p60)) % 0.35/15.99 (step @p62 :rule cong :premises (@p47 @p55) :args ((tptp.add (tptp.multiply tptp.multiplicative_identity @t32) tptp.multiplicative_identity))) % 0.35/15.99 (step @p63 :rule instantiate :premises (@p3) :args ((@list tptp.multiplicative_identity @t32 tptp.multiplicative_identity))) % 0.35/15.99 (step @p64 :rule symm :premises (@p63)) % 0.35/15.99 (step @p65 :rule eq-symm :args (@t16 tptp.multiplicative_identity)) % 0.35/15.99 (step @p66 :rule cong :premises (@p65) :args (@t17)) % 0.35/15.99 (step @p67 :rule eq_resolve :premises (@p8 @p66)) % 0.35/15.99 (step @p68 :rule instantiate :premises (@p67) :args (@t31)) % 0.35/15.99 (step @p69 :rule refl :args (@t33)) % 0.35/15.99 (step @p70 :rule cong :premises (@p69 @p68) :args ((tptp.multiply @t33 tptp.multiplicative_identity))) % 0.35/15.99 (step @p71 :rule instantiate :premises (@p5) :args (@t34)) % 0.35/15.99 (step @p72 :rule symm :premises (@p71)) % 0.35/15.99 (step @p73 :rule instantiate :premises (@p50) :args (@t31)) % 0.35/15.99 (step @p74 :rule refl :args (@t35)) % 0.35/15.99 (step @p75 :rule cong :premises (@p74 @p73) :args ((tptp.add @t35 tptp.multiplicative_identity))) % 0.35/15.99 (step @p76 :rule instantiate :premises (@p3) :args (@t34)) % 0.35/15.99 (step @p77 :rule symm :premises (@p76)) % 0.35/15.99 (step @p78 :rule instantiate :premises (@p4) :args (@t34)) % 0.35/15.99 (step @p79 :rule cong :premises (@p55 @p73) :args (@t33)) % 0.35/15.99 (step @p80 :rule trans :premises (@p79 @p78 @p77 @p75 @p72 @p70 @p64 @p62 @p61 @p59)) % 0.35/15.99 (step @p81 :rule symm :premises (@p79)) % 0.35/15.99 (step @p82 :rule eq-symm :args (@t36 @t37)) % 0.35/15.99 (step @p83 :rule refl :args (@t12)) % 0.35/15.99 (step @p84 :rule cong :premises (@p83 @p82) :args ((=> @t12 @t38))) % 0.35/15.99 (assume-push @p138 @t12) % 0.35/15.99 (step-pop @p139 :rule scope :premises (@p78)) % 0.35/15.99 (step @p86 :rule process_scope :premises (@p139) :args (@t38)) % 0.35/15.99 (step @p88 :rule eq_resolve :premises (@p86 @p84)) % 0.35/15.99 (step @p89 :rule implies_elim :premises (@p88)) % 0.35/15.99 (step @p90 :rule chain_m_resolution :premises (@p89 @p4) :args ((= @t37 @t36) @t39 (@list @t12))) % 0.35/15.99 (step @p91 :rule symm :premises (@p75)) % 0.35/15.99 (step @p92 :rule symm :premises (@p70)) % 0.35/15.99 (step @p93 :rule symm :premises (@p62)) % 0.35/15.99 (step @p94 :rule trans :premises (@p93 @p63 @p92 @p71 @p91 @p76 @p90 @p81)) % 0.35/15.99 (step @p95 :rule trans :premises (@p94 @p80)) % 0.35/15.99 (step @p96 :rule cong :premises (@p95 @p57) :args ((tptp.multiply (tptp.add tptp.additive_identity tptp.multiplicative_identity) tptp.additive_identity))) % 0.35/15.99 (step @p97 :rule instantiate :premises (@p5) :args ((@list tptp.additive_identity tptp.multiplicative_identity tptp.additive_identity))) % 0.35/15.99 (step @p98 :rule symm :premises (@p97)) % 0.35/15.99 (step @p99 :rule symm :premises (@p56)) % 0.35/15.99 (step @p100 :rule trans :premises (@p46 @p99)) % 0.35/15.99 (step @p101 :rule refl :args (@t40)) % 0.35/15.99 (step @p102 :rule cong :premises (@p101 @p100) :args (@t41)) % 0.35/15.99 (step @p103 :rule eq-symm :args (@t41 @t43)) % 0.35/15.99 (step @p104 :rule refl :args (@t10)) % 0.35/15.99 (step @p105 :rule cong :premises (@p104 @p103) :args ((=> @t10 @t44))) % 0.35/15.99 (assume-push @p140 @t10) % 0.35/15.99 (step @p107 :rule instantiate :premises (@p3) :args (@t45)) % 0.35/15.99 (step-pop @p141 :rule scope :premises (@p107)) % 0.35/15.99 (step @p108 :rule process_scope :premises (@p141) :args (@t44)) % 0.35/15.99 (step @p110 :rule eq_resolve :premises (@p108 @p105)) % 0.35/15.99 (step @p111 :rule implies_elim :premises (@p110)) % 0.35/15.99 (step @p112 :rule chain_m_resolution :premises (@p111 @p3) :args ((= @t43 @t41) @t39 (@list @t10))) % 0.35/15.99 (step @p113 :rule instantiate :premises (@p22) :args ((@list tptp.additive_identity))) % 0.35/15.99 (step @p114 :rule refl :args (@t42)) % 0.35/15.99 (step @p115 :rule cong :premises (@p114 @p113) :args ((tptp.multiply @t42 tptp.additive_identity))) % 0.35/15.99 (step @p116 :rule instantiate :premises (@p5) :args (@t45)) % 0.35/15.99 (step @p117 :rule symm :premises (@p116)) % 0.35/15.99 (step @p118 :rule instantiate :premises (@p6) :args (@t45)) % 0.35/15.99 (step @p119 :rule cong :premises (@p57 @p113) :args (@t40)) % 0.35/15.99 (step @p120 :rule trans :premises (@p119 @p118 @p117 @p115 @p112 @p102 @p98 @p96 @p56 @p47 @p32)) % 0.35/15.99 (step @p121 :rule refl :args (@t46)) % 0.35/15.99 (step @p122 :rule cong :premises (@p121 @p120) :args ((tptp.add @t46 @t40))) % 0.35/15.99 (step @p123 :rule instantiate :premises (@p6) :args ((@list tptp.additive_identity tptp.b tptp.additive_identity))) % 0.35/15.99 (step @p124 :rule instantiate :premises (@p22) :args (@t29)) % 0.35/15.99 (step @p125 :rule cong :premises (@p57 @p124) :args (@t46)) % 0.35/15.99 (step @p126 :rule trans :premises (@p125 @p123 @p122 @p42 @p40 @p33)) % 0.35/15.99 (step @p127 :rule cong :premises (@p126 @p28) :args (@t47)) % 0.35/15.99 (step @p128 :rule trans :premises (@p127 @p25 @p24)) % 0.35/15.99 (step @p129 :rule cong :premises (@p128 @p27) :args (@t48)) % 0.35/15.99 (step @p130 :rule trans :premises (@p129 @p17)) % 0.35/15.99 (step @p131 :rule false_elim :premises (@p130)) % 0.35/15.99 (assume-push @p142 @t10) % 0.35/15.99 (step @p133 :rule instantiate :premises (@p3) :args ((@list tptp.additive_identity tptp.b tptp.a))) % 0.35/15.99 (step-pop @p143 :rule scope :premises (@p133)) % 0.35/15.99 (step @p134 :rule process_scope :premises (@p143) :args (@t48)) % 0.35/15.99 (step @p136 :rule implies_elim :premises (@p134)) % 0.35/15.99 (step @p137 false :rule chain_m_resolution :premises (@p136 @p131 @p3) :args (false (@list true false) (@list @t48 @t10))) % 0.35/15.99 ) % 0.35/15.99 % SZS output end Proof % 0.35/16.00 % cvc5 exiting %------------------------------------------------------------------------------