%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : BOO002-2 : TPTP v9.2.1. Released v1.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n015.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 08:08:58 AM UTC 2026 % Result : Unsatisfiable 27.58s 27.89s % Output : Proof 27.58s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : BOO002-2 : TPTP v9.2.1. Released v1.1.0. % 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 : n015.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 02:34:05 EDT 2026 % 0.16/0.34 % CPUTime : % 0.29/0.48 %----Proving TF0_NAR, FOF, or CNF % 0.29/0.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 15.41/15.70 --- Run --no-e-matching --full-saturate-quant at 6... % 21.51/21.71 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 27.52/27.73 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 27.58/27.89 % SZS status Unsatisfiable % 27.58/27.89 % SZS output start Proof % 27.58/27.89 ( % 27.58/27.89 (declare-sort $$unsorted 0) % 27.58/27.89 (declare-const tptp.b $$unsorted) % 27.58/27.89 (declare-const tptp.inverse (-> $$unsorted $$unsorted)) % 27.58/27.89 (declare-const tptp.a $$unsorted) % 27.58/27.89 (declare-const tptp.multiply (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 27.58/27.89 (define @t1 () (@var "Z" $$unsorted)) % 27.58/27.89 (define @t2 () (@var "Y" $$unsorted)) % 27.58/27.89 (define @t3 () (@var "X" $$unsorted)) % 27.58/27.89 (define @t4 () (@var "W" $$unsorted)) % 27.58/27.89 (define @t5 () (@var "V" $$unsorted)) % 27.58/27.89 (define @t6 () (tptp.multiply @t2 @t3 @t3)) % 27.58/27.89 (define @t7 () (@list @t2 @t3)) % 27.58/27.89 (define @t8 () (forall @t7 (= @t6 @t3))) % 27.58/27.89 (define @t9 () (tptp.multiply @t3 @t3 @t2)) % 27.58/27.89 (define @t10 () (@list @t3 @t2)) % 27.58/27.89 (define @t11 () (forall @t10 (= @t9 @t3))) % 27.58/27.89 (define @t12 () (tptp.multiply (tptp.inverse @t2) @t2 @t3)) % 27.58/27.89 (define @t13 () (forall @t7 (= @t12 @t3))) % 27.58/27.89 (define @t14 () (tptp.multiply @t3 @t2 @t3)) % 27.58/27.89 (define @t15 () (forall @t10 (= @t14 @t3))) % 27.58/27.89 (define @t16 () (tptp.inverse tptp.a)) % 27.58/27.89 (define @t17 () (tptp.multiply tptp.a @t16 tptp.b)) % 27.58/27.89 (define @t18 () (@list tptp.a @t16)) % 27.58/27.89 (define @t19 () (@list tptp.a tptp.b)) % 27.58/27.89 (define @t20 () (tptp.multiply tptp.a @t16 @t16)) % 27.58/27.89 (define @t21 () (tptp.multiply @t17 tptp.b tptp.b)) % 27.58/27.89 (define @t22 () (= tptp.b @t21)) % 27.58/27.89 (define @t23 () (not @t22)) % 27.58/27.89 (define @t24 () (tptp.multiply @t17 tptp.b @t20)) % 27.58/27.89 (define @t25 () (tptp.multiply @t24 tptp.a @t21)) % 27.58/27.89 (define @t26 () (= @t25 (tptp.multiply @t17 tptp.b (tptp.multiply @t20 tptp.a tptp.b)))) % 27.58/27.89 (define @t27 () (not @t26)) % 27.58/27.89 (define @t28 () (tptp.multiply tptp.a tptp.a tptp.b)) % 27.58/27.89 (define @t29 () (tptp.multiply @t17 tptp.b @t28)) % 27.58/27.89 (define @t30 () (= (tptp.multiply (tptp.multiply @t17 tptp.b tptp.a) tptp.a @t21) @t29)) % 27.58/27.89 (define @t31 () (not @t30)) % 27.58/27.89 (define @t32 () (tptp.multiply tptp.b tptp.b @t16)) % 27.58/27.89 (define @t33 () (tptp.multiply tptp.a @t16 @t32)) % 27.58/27.89 (define @t34 () (= @t24 @t33)) % 27.58/27.89 (define @t35 () (not @t34)) % 27.58/27.89 (define @t36 () (tptp.multiply @t16 tptp.a tptp.b)) % 27.58/27.89 (define @t37 () (= tptp.b @t36)) % 27.58/27.89 (define @t38 () (not @t37)) % 27.58/27.89 (define @t39 () (= tptp.a @t28)) % 27.58/27.89 (define @t40 () (not @t39)) % 27.58/27.89 (define @t41 () (= tptp.b @t32)) % 27.58/27.89 (define @t42 () (not @t41)) % 27.58/27.89 (define @t43 () (tptp.multiply tptp.b tptp.b tptp.a)) % 27.58/27.89 (define @t44 () (= tptp.b @t43)) % 27.58/27.89 (define @t45 () (not @t44)) % 27.58/27.89 (define @t46 () (tptp.multiply tptp.a @t16 @t43)) % 27.58/27.89 (define @t47 () (tptp.multiply tptp.a @t16 tptp.a)) % 27.58/27.89 (define @t48 () (tptp.multiply @t17 tptp.b @t47)) % 27.58/27.89 (define @t49 () (= @t48 @t46)) % 27.58/27.89 (define @t50 () (not @t49)) % 27.58/27.89 (define @t51 () (= @t16 @t20)) % 27.58/27.89 (define @t52 () (not @t51)) % 27.58/27.89 (define @t53 () (= tptp.a @t47)) % 27.58/27.89 (define @t54 () (not @t53)) % 27.58/27.89 (define @t55 () (= tptp.b @t17)) % 27.58/27.89 (define @t56 () (not @t55)) % 27.58/27.89 (define @t57 () (and @t56 @t53 @t51 @t49 @t44 @t41 @t39 @t37 @t34 @t30 @t26)) % 27.58/27.89 (assume @p1 (forall (@list @t5 @t4 @t3 @t2 @t1) (= (tptp.multiply (tptp.multiply @t5 @t4 @t3) @t2 (tptp.multiply @t5 @t4 @t1)) (tptp.multiply @t5 @t4 (tptp.multiply @t3 @t2 @t1))))) % 27.58/27.89 (assume @p2 @t8) % 27.58/27.89 (assume @p3 @t11) % 27.58/27.89 (assume @p4 @t13) % 27.58/27.89 (assume @p5 @t15) % 27.58/27.89 (assume @p6 (not (= @t17 tptp.b))) % 27.58/27.89 (step @p7 :rule symm :premises (@p6)) % 27.58/27.89 (step @p8 :rule eq-symm :args (@t14 @t3)) % 27.58/27.89 (step @p9 :rule cong :premises (@p8) :args (@t15)) % 27.58/27.89 (step @p10 :rule eq_resolve :premises (@p5 @p9)) % 27.58/27.89 (step @p11 :rule instantiate :premises (@p10) :args (@t18)) % 27.58/27.89 (step @p12 :rule eq-symm :args (@t6 @t3)) % 27.58/27.89 (step @p13 :rule cong :premises (@p12) :args (@t8)) % 27.58/27.89 (step @p14 :rule eq_resolve :premises (@p2 @p13)) % 27.58/27.89 (step @p15 :rule instantiate :premises (@p14) :args (@t18)) % 27.58/27.89 (step @p16 :rule instantiate :premises (@p1) :args ((@list tptp.a @t16 tptp.b tptp.b tptp.a))) % 27.58/27.89 (step @p17 :rule eq-symm :args (@t9 @t3)) % 27.58/27.89 (step @p18 :rule cong :premises (@p17) :args (@t11)) % 27.58/27.89 (step @p19 :rule eq_resolve :premises (@p3 @p18)) % 27.58/27.89 (step @p20 :rule instantiate :premises (@p19) :args ((@list tptp.b tptp.a))) % 27.58/27.89 (step @p21 :rule instantiate :premises (@p19) :args ((@list tptp.b @t16))) % 27.58/27.89 (step @p22 :rule instantiate :premises (@p19) :args (@t19)) % 27.58/27.89 (step @p23 :rule eq-symm :args (@t12 @t3)) % 27.58/27.89 (step @p24 :rule cong :premises (@p23) :args (@t13)) % 27.58/27.89 (step @p25 :rule eq_resolve :premises (@p4 @p24)) % 27.58/27.89 (step @p26 :rule instantiate :premises (@p25) :args (@t19)) % 27.58/27.89 (step @p27 :rule instantiate :premises (@p1) :args ((@list tptp.a @t16 tptp.b tptp.b @t16))) % 27.58/27.89 (step @p28 :rule instantiate :premises (@p1) :args ((@list @t17 tptp.b tptp.a tptp.a tptp.b))) % 27.58/27.89 (step @p29 :rule instantiate :premises (@p1) :args ((@list @t17 tptp.b @t20 tptp.a tptp.b))) % 27.58/27.89 (step @p30 :rule instantiate :premises (@p14) :args ((@list @t17 tptp.b))) % 27.58/27.89 (step @p31 :rule refl :args (@t23)) % 27.58/27.89 (step @p32 :rule refl :args (@t27)) % 27.58/27.89 (step @p33 :rule refl :args (@t31)) % 27.58/27.89 (step @p34 :rule refl :args (@t35)) % 27.58/27.89 (step @p35 :rule refl :args (@t38)) % 27.58/27.89 (step @p36 :rule refl :args (@t40)) % 27.58/27.89 (step @p37 :rule refl :args (@t42)) % 27.58/27.89 (step @p38 :rule refl :args (@t45)) % 27.58/27.89 (step @p39 :rule refl :args (@t50)) % 27.58/27.89 (step @p40 :rule refl :args (@t52)) % 27.58/27.89 (step @p41 :rule refl :args (@t54)) % 27.58/27.89 (step @p42 :rule bool-double-not-elim :args (@t55)) % 27.58/27.89 (step @p43 :rule nary_cong :premises (@p42 @p41 @p40 @p39 @p38 @p37 @p36 @p35 @p34 @p33 @p32 @p31) :args ((or (not @t56) @t54 @t52 @t50 @t45 @t42 @t40 @t38 @t35 @t31 @t27 @t23))) % 27.58/27.89 (assume-push @p102 @t56) % 27.58/27.89 (assume-push @p103 @t53) % 27.58/27.89 (assume-push @p104 @t51) % 27.58/27.89 (assume-push @p105 @t49) % 27.58/27.89 (assume-push @p106 @t44) % 27.58/27.89 (assume-push @p107 @t41) % 27.58/27.89 (assume-push @p108 @t39) % 27.58/27.89 (assume-push @p109 @t37) % 27.58/27.89 (assume-push @p110 @t34) % 27.58/27.89 (assume-push @p111 @t30) % 27.58/27.89 (assume-push @p112 @t26) % 27.58/27.89 (step @p55 :rule false_intro :premises (@p7)) % 27.58/27.89 (step @p56 :rule symm :premises (@p20)) % 27.58/27.89 (step @p57 :rule refl :args (@t16)) % 27.58/27.89 (step @p58 :rule refl :args (tptp.a)) % 27.58/27.89 (step @p59 :rule cong :premises (@p58 @p57 @p56) :args (@t46)) % 27.58/27.89 (step @p60 :rule symm :premises (@p22)) % 27.58/27.89 (step @p61 :rule trans :premises (@p60 @p11)) % 27.58/27.89 (step @p62 :rule refl :args (tptp.b)) % 27.58/27.89 (step @p63 :rule refl :args (@t17)) % 27.58/27.89 (step @p64 :rule cong :premises (@p63 @p62 @p61) :args (@t29)) % 27.58/27.89 (step @p65 :rule refl :args (@t21)) % 27.58/27.89 (step @p66 :rule symm :premises (@p11)) % 27.58/27.89 (step @p67 :rule cong :premises (@p63 @p62 @p66) :args (@t48)) % 27.58/27.89 (step @p68 :rule symm :premises (@p16)) % 27.58/27.89 (step @p69 :rule symm :premises (@p59)) % 27.58/27.89 (step @p70 :rule trans :premises (@p69 @p68 @p67)) % 27.58/27.89 (step @p71 :rule symm :premises (@p21)) % 27.58/27.89 (step @p72 :rule cong :premises (@p58 @p57 @p71) :args (@t33)) % 27.58/27.89 (step @p73 :rule trans :premises (@p27 @p72)) % 27.58/27.89 (step @p74 :rule trans :premises (@p73 @p70)) % 27.58/27.89 (step @p75 :rule cong :premises (@p74 @p58 @p65) :args (@t25)) % 27.58/27.89 (step @p76 :rule symm :premises (@p29)) % 27.58/27.89 (step @p77 :rule cong :premises (@p15 @p58 @p62) :args (@t36)) % 27.58/27.89 (step @p78 :rule trans :premises (@p26 @p77)) % 27.58/27.89 (step @p79 :rule cong :premises (@p63 @p62 @p78) :args (@t21)) % 27.58/27.89 (step @p80 :rule trans :premises (@p79 @p76 @p75 @p28 @p64 @p16 @p59)) % 27.58/27.89 (step @p81 :rule cong :premises (@p62 @p80) :args (@t22)) % 27.58/27.89 (step @p82 :rule trans :premises (@p81 @p55)) % 27.58/27.89 (step @p83 :rule false_elim :premises (@p82)) % 27.58/27.89 (step-pop @p113 :rule scope :premises (@p83)) % 27.58/27.89 (step-pop @p114 :rule scope :premises (@p113)) % 27.58/27.89 (step-pop @p115 :rule scope :premises (@p114)) % 27.58/27.89 (step-pop @p116 :rule scope :premises (@p115)) % 27.58/27.89 (step-pop @p117 :rule scope :premises (@p116)) % 27.58/27.89 (step-pop @p118 :rule scope :premises (@p117)) % 27.58/27.89 (step-pop @p119 :rule scope :premises (@p118)) % 27.58/27.89 (step-pop @p120 :rule scope :premises (@p119)) % 27.58/27.89 (step-pop @p121 :rule scope :premises (@p120)) % 27.58/27.89 (step-pop @p122 :rule scope :premises (@p121)) % 27.58/27.89 (step-pop @p123 :rule scope :premises (@p122)) % 27.58/27.89 (step @p84 :rule process_scope :premises (@p123) :args (@t23)) % 27.58/27.89 (step @p96 :rule implies_elim :premises (@p84)) % 27.58/27.89 (step @p97 :rule cnf_and_neg :args (@t57)) % 27.58/27.89 (step @p98 :rule resolution :premises (@p97 @p96) :args (true @t57)) % 27.58/27.89 (step @p99 :rule eq_resolve :premises (@p98 @p43)) % 27.58/27.89 (step @p100 :rule reordering :premises (@p99) :args ((or @t55 @t54 @t52 @t50 @t45 @t42 @t40 @t38 @t35 @t31 @t23 @t27))) % 27.58/27.89 (step @p101 false :rule chain_m_resolution :premises (@p100 @p30 @p29 @p28 @p27 @p26 @p22 @p21 @p20 @p16 @p15 @p11 @p7) :args (false (@list false false false false false false false false false false false true) (@list @t22 @t26 @t30 @t34 @t37 @t39 @t41 @t44 @t49 @t51 @t53 @t55))) % 27.58/27.89 ) % 27.58/27.89 % SZS output end Proof % 27.58/27.89 % cvc5 exiting %------------------------------------------------------------------------------