%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : BOO017-2 : 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 : n025.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 08:09:04 AM UTC 2026 % Result : Unsatisfiable 15.72s 16.02s % Output : Proof 15.72s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : BOO017-2 : TPTP v9.2.1. Released v1.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n025.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 02:36:46 EDT 2026 % 0.16/0.34 % CPUTime : % 0.30/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.30/0.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 15.72/15.95 --- Run --no-e-matching --full-saturate-quant at 6... % 15.72/16.02 % SZS status Unsatisfiable % 15.72/16.02 % SZS output start Proof % 15.72/16.03 ( % 15.72/16.03 (declare-sort $$unsorted 0) % 15.72/16.03 (declare-const tptp.x $$unsorted) % 15.72/16.03 (declare-const tptp.y $$unsorted) % 15.72/16.03 (declare-const tptp.z $$unsorted) % 15.72/16.03 (declare-const tptp.additive_identity $$unsorted) % 15.72/16.03 (declare-const tptp.inverse (-> $$unsorted $$unsorted)) % 15.72/16.03 (declare-const tptp.multiplicative_identity $$unsorted) % 15.72/16.03 (declare-const tptp.multiply (-> $$unsorted $$unsorted $$unsorted)) % 15.72/16.03 (declare-const tptp.add (-> $$unsorted $$unsorted $$unsorted)) % 15.72/16.03 (define @t1 () (@var "X" $$unsorted)) % 15.72/16.03 (define @t2 () (@var "Y" $$unsorted)) % 15.72/16.03 (define @t3 () (tptp.add @t1 @t2)) % 15.72/16.03 (define @t4 () (@list @t1 @t2)) % 15.72/16.03 (define @t5 () (tptp.multiply @t1 @t2)) % 15.72/16.03 (define @t6 () (@var "Z" $$unsorted)) % 15.72/16.03 (define @t7 () (tptp.add @t2 @t6)) % 15.72/16.03 (define @t8 () (tptp.add @t1 @t6)) % 15.72/16.03 (define @t9 () (@list @t1 @t2 @t6)) % 15.72/16.03 (define @t10 () (forall @t9 (= (tptp.add @t5 @t6) (tptp.multiply @t8 @t7)))) % 15.72/16.03 (define @t11 () (tptp.multiply @t2 @t6)) % 15.72/16.03 (define @t12 () (forall @t9 (= (tptp.add @t1 @t11) (tptp.multiply @t3 @t8)))) % 15.72/16.03 (define @t13 () (tptp.multiply @t1 @t6)) % 15.72/16.03 (define @t14 () (tptp.inverse @t1)) % 15.72/16.03 (define @t15 () (@list @t1)) % 15.72/16.03 (define @t16 () (tptp.add @t14 @t1)) % 15.72/16.03 (define @t17 () (forall @t15 (= @t16 tptp.multiplicative_identity))) % 15.72/16.03 (define @t18 () (tptp.multiply @t1 @t14)) % 15.72/16.03 (define @t19 () (forall @t15 (= @t18 tptp.additive_identity))) % 15.72/16.03 (define @t20 () (tptp.multiply @t14 @t1)) % 15.72/16.03 (define @t21 () (forall @t15 (= @t20 tptp.additive_identity))) % 15.72/16.03 (define @t22 () (tptp.multiply @t1 tptp.multiplicative_identity)) % 15.72/16.03 (define @t23 () (forall @t15 (= @t22 @t1))) % 15.72/16.03 (define @t24 () (tptp.add @t1 tptp.additive_identity)) % 15.72/16.03 (define @t25 () (forall @t15 (= @t24 @t1))) % 15.72/16.03 (define @t26 () (tptp.add tptp.additive_identity @t1)) % 15.72/16.03 (define @t27 () (forall @t15 (= @t26 @t1))) % 15.72/16.03 (define @t28 () (tptp.multiply tptp.x tptp.z)) % 15.72/16.03 (define @t29 () (not (= @t28 tptp.x))) % 15.72/16.03 (define @t30 () (= tptp.x @t28)) % 15.72/16.03 (define @t31 () (tptp.multiply (tptp.add tptp.additive_identity tptp.x) (tptp.add tptp.y tptp.x))) % 15.72/16.03 (define @t32 () (@list tptp.y)) % 15.72/16.03 (define @t33 () (tptp.inverse tptp.y)) % 15.72/16.03 (define @t34 () (@list tptp.multiplicative_identity)) % 15.72/16.03 (define @t35 () (tptp.inverse tptp.multiplicative_identity)) % 15.72/16.03 (define @t36 () (tptp.add tptp.multiplicative_identity tptp.multiplicative_identity)) % 15.72/16.03 (define @t37 () (@list tptp.multiplicative_identity tptp.multiplicative_identity tptp.multiplicative_identity)) % 15.72/16.03 (define @t38 () (tptp.multiply tptp.multiplicative_identity tptp.multiplicative_identity)) % 15.72/16.03 (define @t39 () (tptp.add tptp.multiplicative_identity @t38)) % 15.72/16.03 (define @t40 () (tptp.multiply @t36 @t36)) % 15.72/16.03 (define @t41 () (= @t39 @t40)) % 15.72/16.03 (define @t42 () (@list false)) % 15.72/16.03 (define @t43 () (tptp.multiply tptp.additive_identity tptp.additive_identity)) % 15.72/16.03 (define @t44 () (tptp.add @t43 tptp.additive_identity)) % 15.72/16.03 (define @t45 () (tptp.add tptp.additive_identity tptp.additive_identity)) % 15.72/16.03 (define @t46 () (tptp.multiply @t45 @t45)) % 15.72/16.03 (define @t47 () (= @t44 @t46)) % 15.72/16.03 (define @t48 () (@list tptp.additive_identity tptp.additive_identity tptp.additive_identity)) % 15.72/16.03 (define @t49 () (tptp.multiply tptp.additive_identity tptp.y)) % 15.72/16.03 (define @t50 () (tptp.add @t49 tptp.x)) % 15.72/16.03 (define @t51 () (= @t50 @t31)) % 15.72/16.03 (assume @p1 (forall @t4 (= @t3 (tptp.add @t2 @t1)))) % 15.72/16.03 (assume @p2 (forall @t4 (= @t5 (tptp.multiply @t2 @t1)))) % 15.72/16.03 (assume @p3 @t10) % 15.72/16.03 (assume @p4 @t12) % 15.72/16.03 (assume @p5 (forall @t9 (= (tptp.multiply @t3 @t6) (tptp.add @t13 @t11)))) % 15.72/16.03 (assume @p6 (forall @t9 (= (tptp.multiply @t1 @t7) (tptp.add @t5 @t13)))) % 15.72/16.03 (assume @p7 (forall @t15 (= (tptp.add @t1 @t14) tptp.multiplicative_identity))) % 15.72/16.03 (assume @p8 @t17) % 15.72/16.03 (assume @p9 @t19) % 15.72/16.03 (assume @p10 @t21) % 15.72/16.03 (assume @p11 @t23) % 15.72/16.03 (assume @p12 (forall @t15 (= (tptp.multiply tptp.multiplicative_identity @t1) @t1))) % 15.72/16.03 (assume @p13 @t25) % 15.72/16.03 (assume @p14 @t27) % 15.72/16.03 (assume @p15 (= (tptp.add tptp.x tptp.y) tptp.z)) % 15.72/16.03 (assume @p16 @t29) % 15.72/16.03 (step @p17 :rule symm :premises (@p15)) % 15.72/16.03 (step @p18 :rule refl :args (tptp.x)) % 15.72/16.03 (step @p19 :rule cong :premises (@p18 @p17) :args (@t28)) % 15.72/16.03 (step @p20 :rule cong :premises (@p18 @p19) :args (@t30)) % 15.72/16.03 (step @p21 :rule cong :premises (@p20) :args ((not @t30))) % 15.72/16.03 (step @p22 :rule eq-symm :args (@t28 tptp.x)) % 15.72/16.03 (step @p23 :rule cong :premises (@p22) :args (@t29)) % 15.72/16.03 (step @p24 :rule trans :premises (@p23 @p21)) % 15.72/16.03 (step @p25 :rule eq_resolve :premises (@p16 @p24)) % 15.72/16.03 (step @p26 :rule false_intro :premises (@p25)) % 15.72/16.03 (step @p27 :rule instantiate :premises (@p1) :args ((@list tptp.x tptp.y))) % 15.72/16.03 (step @p28 :rule symm :premises (@p27)) % 15.72/16.03 (step @p29 :rule eq-symm :args (@t24 @t1)) % 15.72/16.03 (step @p30 :rule cong :premises (@p29) :args (@t25)) % 15.72/16.03 (step @p31 :rule eq_resolve :premises (@p13 @p30)) % 15.72/16.03 (step @p32 :rule instantiate :premises (@p31) :args ((@list tptp.x))) % 15.72/16.03 (step @p33 :rule symm :premises (@p32)) % 15.72/16.03 (step @p34 :rule instantiate :premises (@p1) :args ((@list tptp.additive_identity tptp.x))) % 15.72/16.03 (step @p35 :rule trans :premises (@p34 @p33)) % 15.72/16.03 (step @p36 :rule cong :premises (@p35 @p28) :args (@t31)) % 15.72/16.03 (step @p37 :rule eq-symm :args (@t20 tptp.additive_identity)) % 15.72/16.03 (step @p38 :rule cong :premises (@p37) :args (@t21)) % 15.72/16.03 (step @p39 :rule eq_resolve :premises (@p10 @p38)) % 15.72/16.03 (step @p40 :rule instantiate :premises (@p39) :args (@t32)) % 15.72/16.03 (step @p41 :rule symm :premises (@p40)) % 15.72/16.03 (step @p42 :rule refl :args (tptp.y)) % 15.72/16.03 (step @p43 :rule eq-symm :args (@t26 @t1)) % 15.72/16.03 (step @p44 :rule cong :premises (@p43) :args (@t27)) % 15.72/16.03 (step @p45 :rule eq_resolve :premises (@p14 @p44)) % 15.72/16.03 (step @p46 :rule instantiate :premises (@p45) :args ((@list @t33))) % 15.72/16.03 (step @p47 :rule symm :premises (@p46)) % 15.72/16.03 (step @p48 :rule cong :premises (@p47 @p42) :args ((tptp.multiply (tptp.add tptp.additive_identity @t33) tptp.y))) % 15.72/16.03 (step @p49 :rule instantiate :premises (@p5) :args ((@list tptp.additive_identity @t33 tptp.y))) % 15.72/16.03 (step @p50 :rule symm :premises (@p49)) % 15.72/16.03 (step @p51 :rule eq-symm :args (@t18 tptp.additive_identity)) % 15.72/16.03 (step @p52 :rule cong :premises (@p51) :args (@t19)) % 15.72/16.03 (step @p53 :rule eq_resolve :premises (@p9 @p52)) % 15.72/16.03 (step @p54 :rule instantiate :premises (@p53) :args (@t34)) % 15.72/16.03 (step @p55 :rule symm :premises (@p54)) % 15.72/16.03 (step @p56 :rule eq-symm :args (@t22 @t1)) % 15.72/16.03 (step @p57 :rule cong :premises (@p56) :args (@t23)) % 15.72/16.03 (step @p58 :rule eq_resolve :premises (@p11 @p57)) % 15.72/16.03 (step @p59 :rule instantiate :premises (@p58) :args ((@list @t35))) % 15.72/16.03 (step @p60 :rule symm :premises (@p59)) % 15.72/16.03 (step @p61 :rule instantiate :premises (@p39) :args (@t34)) % 15.72/16.03 (step @p62 :rule trans :premises (@p61 @p60)) % 15.72/16.03 (step @p63 :rule refl :args (tptp.multiplicative_identity)) % 15.72/16.03 (step @p64 :rule cong :premises (@p63 @p62) :args ((tptp.multiply tptp.multiplicative_identity tptp.additive_identity))) % 15.72/16.03 (step @p65 :rule refl :args (tptp.additive_identity)) % 15.72/16.03 (step @p66 :rule instantiate :premises (@p31) :args (@t34)) % 15.72/16.03 (step @p67 :rule symm :premises (@p66)) % 15.72/16.03 (step @p68 :rule instantiate :premises (@p1) :args ((@list tptp.multiplicative_identity tptp.additive_identity))) % 15.72/16.03 (step @p69 :rule symm :premises (@p68)) % 15.72/16.03 (step @p70 :rule cong :premises (@p55 @p63) :args ((tptp.add (tptp.multiply tptp.multiplicative_identity @t35) tptp.multiplicative_identity))) % 15.72/16.03 (step @p71 :rule instantiate :premises (@p3) :args ((@list tptp.multiplicative_identity @t35 tptp.multiplicative_identity))) % 15.72/16.03 (step @p72 :rule symm :premises (@p71)) % 15.72/16.03 (step @p73 :rule eq-symm :args (@t16 tptp.multiplicative_identity)) % 15.72/16.03 (step @p74 :rule cong :premises (@p73) :args (@t17)) % 15.72/16.03 (step @p75 :rule eq_resolve :premises (@p8 @p74)) % 15.72/16.03 (step @p76 :rule instantiate :premises (@p75) :args (@t34)) % 15.72/16.03 (step @p77 :rule refl :args (@t36)) % 15.72/16.03 (step @p78 :rule cong :premises (@p77 @p76) :args ((tptp.multiply @t36 tptp.multiplicative_identity))) % 15.72/16.03 (step @p79 :rule instantiate :premises (@p5) :args (@t37)) % 15.72/16.03 (step @p80 :rule symm :premises (@p79)) % 15.72/16.03 (step @p81 :rule instantiate :premises (@p58) :args (@t34)) % 15.72/16.03 (step @p82 :rule refl :args (@t38)) % 15.72/16.03 (step @p83 :rule cong :premises (@p82 @p81) :args ((tptp.add @t38 tptp.multiplicative_identity))) % 15.72/16.03 (step @p84 :rule instantiate :premises (@p3) :args (@t37)) % 15.72/16.03 (step @p85 :rule symm :premises (@p84)) % 15.72/16.03 (step @p86 :rule instantiate :premises (@p4) :args (@t37)) % 15.72/16.03 (step @p87 :rule cong :premises (@p63 @p81) :args (@t36)) % 15.72/16.03 (step @p88 :rule trans :premises (@p87 @p86 @p85 @p83 @p80 @p78 @p72 @p70 @p69 @p67)) % 15.72/16.03 (step @p89 :rule symm :premises (@p87)) % 15.72/16.03 (step @p90 :rule eq-symm :args (@t39 @t40)) % 15.72/16.03 (step @p91 :rule refl :args (@t12)) % 15.72/16.03 (step @p92 :rule cong :premises (@p91 @p90) :args ((=> @t12 @t41))) % 15.72/16.03 (assume-push @p146 @t12) % 15.72/16.03 (step-pop @p147 :rule scope :premises (@p86)) % 15.72/16.03 (step @p94 :rule process_scope :premises (@p147) :args (@t41)) % 15.72/16.03 (step @p96 :rule eq_resolve :premises (@p94 @p92)) % 15.72/16.03 (step @p97 :rule implies_elim :premises (@p96)) % 15.72/16.03 (step @p98 :rule chain_m_resolution :premises (@p97 @p4) :args ((= @t40 @t39) @t42 (@list @t12))) % 15.72/16.03 (step @p99 :rule symm :premises (@p83)) % 15.72/16.03 (step @p100 :rule symm :premises (@p78)) % 15.72/16.03 (step @p101 :rule symm :premises (@p70)) % 15.72/16.03 (step @p102 :rule trans :premises (@p101 @p71 @p100 @p79 @p99 @p84 @p98 @p89)) % 15.72/16.03 (step @p103 :rule trans :premises (@p102 @p88)) % 15.72/16.03 (step @p104 :rule cong :premises (@p103 @p65) :args ((tptp.multiply (tptp.add tptp.additive_identity tptp.multiplicative_identity) tptp.additive_identity))) % 15.72/16.03 (step @p105 :rule instantiate :premises (@p5) :args ((@list tptp.additive_identity tptp.multiplicative_identity tptp.additive_identity))) % 15.72/16.03 (step @p106 :rule symm :premises (@p105)) % 15.72/16.03 (step @p107 :rule symm :premises (@p64)) % 15.72/16.03 (step @p108 :rule trans :premises (@p54 @p107)) % 15.72/16.03 (step @p109 :rule refl :args (@t43)) % 15.72/16.03 (step @p110 :rule cong :premises (@p109 @p108) :args (@t44)) % 15.72/16.03 (step @p111 :rule eq-symm :args (@t44 @t46)) % 15.72/16.03 (step @p112 :rule refl :args (@t10)) % 15.72/16.03 (step @p113 :rule cong :premises (@p112 @p111) :args ((=> @t10 @t47))) % 15.72/16.03 (assume-push @p148 @t10) % 15.72/16.03 (step @p115 :rule instantiate :premises (@p3) :args (@t48)) % 15.72/16.03 (step-pop @p149 :rule scope :premises (@p115)) % 15.72/16.03 (step @p116 :rule process_scope :premises (@p149) :args (@t47)) % 15.72/16.03 (step @p118 :rule eq_resolve :premises (@p116 @p113)) % 15.72/16.03 (step @p119 :rule implies_elim :premises (@p118)) % 15.72/16.03 (step @p120 :rule chain_m_resolution :premises (@p119 @p3) :args ((= @t46 @t44) @t42 (@list @t10))) % 15.72/16.03 (step @p121 :rule instantiate :premises (@p31) :args ((@list tptp.additive_identity))) % 15.72/16.03 (step @p122 :rule refl :args (@t45)) % 15.72/16.03 (step @p123 :rule cong :premises (@p122 @p121) :args ((tptp.multiply @t45 tptp.additive_identity))) % 15.72/16.03 (step @p124 :rule instantiate :premises (@p5) :args (@t48)) % 15.72/16.03 (step @p125 :rule symm :premises (@p124)) % 15.72/16.03 (step @p126 :rule instantiate :premises (@p6) :args (@t48)) % 15.72/16.03 (step @p127 :rule cong :premises (@p65 @p121) :args (@t43)) % 15.72/16.03 (step @p128 :rule trans :premises (@p127 @p126 @p125 @p123 @p120 @p110 @p106 @p104 @p64 @p55 @p40)) % 15.72/16.03 (step @p129 :rule refl :args (@t49)) % 15.72/16.03 (step @p130 :rule cong :premises (@p129 @p128) :args ((tptp.add @t49 @t43))) % 15.72/16.03 (step @p131 :rule instantiate :premises (@p6) :args ((@list tptp.additive_identity tptp.y tptp.additive_identity))) % 15.72/16.03 (step @p132 :rule instantiate :premises (@p31) :args (@t32)) % 15.72/16.03 (step @p133 :rule cong :premises (@p65 @p132) :args (@t49)) % 15.72/16.03 (step @p134 :rule trans :premises (@p133 @p131 @p130 @p50 @p48 @p41)) % 15.72/16.03 (step @p135 :rule cong :premises (@p134 @p18) :args (@t50)) % 15.72/16.03 (step @p136 :rule trans :premises (@p135 @p34 @p33)) % 15.72/16.03 (step @p137 :rule cong :premises (@p136 @p36) :args (@t51)) % 15.72/16.03 (step @p138 :rule trans :premises (@p137 @p26)) % 15.72/16.03 (step @p139 :rule false_elim :premises (@p138)) % 15.72/16.03 (assume-push @p150 @t10) % 15.72/16.03 (step @p141 :rule instantiate :premises (@p3) :args ((@list tptp.additive_identity tptp.y tptp.x))) % 15.72/16.03 (step-pop @p151 :rule scope :premises (@p141)) % 15.72/16.03 (step @p142 :rule process_scope :premises (@p151) :args (@t51)) % 15.72/16.03 (step @p144 :rule implies_elim :premises (@p142)) % 15.72/16.03 (step @p145 false :rule chain_m_resolution :premises (@p144 @p139 @p3) :args (false (@list true false) (@list @t51 @t10))) % 15.72/16.03 ) % 15.72/16.03 % SZS output end Proof % 15.86/16.03 % cvc5 exiting %------------------------------------------------------------------------------