%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : BOO002-1 : 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 : n022.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 27.63s 27.92s % Output : Proof 27.63s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.13 % Problem : BOO002-1 : TPTP v9.2.1. Released v1.0.0. % 0.12/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n022.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 02:33:39 EDT 2026 % 0.17/0.36 % CPUTime : % 0.27/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.27/0.52 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 15.50/15.75 --- Run --no-e-matching --full-saturate-quant at 6... % 21.51/21.77 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 27.52/27.79 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 27.63/27.92 % SZS status Unsatisfiable % 27.63/27.92 % SZS output start Proof % 27.63/27.92 ( % 27.63/27.92 (declare-sort $$unsorted 0) % 27.63/27.92 (declare-const tptp.a $$unsorted) % 27.63/27.92 (declare-const tptp.b $$unsorted) % 27.63/27.92 (declare-const tptp.inverse (-> $$unsorted $$unsorted)) % 27.63/27.92 (declare-const tptp.multiply (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 27.63/27.92 (define @t1 () (@var "Z" $$unsorted)) % 27.63/27.92 (define @t2 () (@var "Y" $$unsorted)) % 27.63/27.92 (define @t3 () (@var "X" $$unsorted)) % 27.63/27.92 (define @t4 () (@var "W" $$unsorted)) % 27.63/27.92 (define @t5 () (@var "V" $$unsorted)) % 27.63/27.92 (define @t6 () (tptp.multiply @t2 @t3 @t3)) % 27.63/27.92 (define @t7 () (@list @t2 @t3)) % 27.63/27.92 (define @t8 () (forall @t7 (= @t6 @t3))) % 27.63/27.92 (define @t9 () (tptp.multiply @t3 @t3 @t2)) % 27.63/27.92 (define @t10 () (forall (@list @t3 @t2) (= @t9 @t3))) % 27.63/27.92 (define @t11 () (tptp.multiply (tptp.inverse @t2) @t2 @t3)) % 27.63/27.92 (define @t12 () (forall @t7 (= @t11 @t3))) % 27.63/27.92 (define @t13 () (tptp.inverse tptp.a)) % 27.63/27.92 (define @t14 () (tptp.multiply tptp.a @t13 tptp.b)) % 27.63/27.92 (define @t15 () (tptp.multiply tptp.a @t13 tptp.a)) % 27.63/27.92 (define @t16 () (tptp.multiply tptp.b tptp.b tptp.b)) % 27.63/27.92 (define @t17 () (tptp.multiply tptp.a @t13 @t16)) % 27.63/27.92 (define @t18 () (tptp.multiply @t17 tptp.b tptp.b)) % 27.63/27.92 (define @t19 () (= tptp.b @t18)) % 27.63/27.92 (define @t20 () (not @t19)) % 27.63/27.92 (define @t21 () (tptp.multiply @t13 tptp.a tptp.b)) % 27.63/27.92 (define @t22 () (tptp.multiply @t17 tptp.b @t13)) % 27.63/27.92 (define @t23 () (tptp.multiply @t22 tptp.a @t18)) % 27.63/27.92 (define @t24 () (= @t23 (tptp.multiply @t17 tptp.b @t21))) % 27.63/27.92 (define @t25 () (not @t24)) % 27.63/27.92 (define @t26 () (tptp.multiply tptp.a tptp.a tptp.b)) % 27.63/27.92 (define @t27 () (tptp.multiply @t17 tptp.b @t26)) % 27.63/27.92 (define @t28 () (= (tptp.multiply (tptp.multiply @t17 tptp.b tptp.a) tptp.a @t18) @t27)) % 27.63/27.92 (define @t29 () (not @t28)) % 27.63/27.92 (define @t30 () (tptp.multiply tptp.b tptp.b @t13)) % 27.63/27.92 (define @t31 () (tptp.multiply tptp.a @t13 @t30)) % 27.63/27.92 (define @t32 () (tptp.multiply tptp.a @t13 @t13)) % 27.63/27.92 (define @t33 () (= (tptp.multiply @t14 tptp.b @t32) @t31)) % 27.63/27.92 (define @t34 () (not @t33)) % 27.63/27.92 (define @t35 () (= tptp.b @t30)) % 27.63/27.92 (define @t36 () (not @t35)) % 27.63/27.92 (define @t37 () (tptp.multiply tptp.b tptp.b tptp.a)) % 27.63/27.92 (define @t38 () (= tptp.b @t37)) % 27.63/27.92 (define @t39 () (not @t38)) % 27.63/27.92 (define @t40 () (tptp.multiply tptp.a @t13 @t37)) % 27.63/27.92 (define @t41 () (tptp.multiply @t14 tptp.b @t15)) % 27.63/27.92 (define @t42 () (= @t41 @t40)) % 27.63/27.92 (define @t43 () (not @t42)) % 27.63/27.92 (define @t44 () (= tptp.b @t21)) % 27.63/27.92 (define @t45 () (not @t44)) % 27.63/27.92 (define @t46 () (= tptp.a (tptp.multiply tptp.a tptp.a @t16))) % 27.63/27.92 (define @t47 () (not @t46)) % 27.63/27.92 (define @t48 () (= tptp.b @t16)) % 27.63/27.92 (define @t49 () (not @t48)) % 27.63/27.92 (define @t50 () (tptp.multiply tptp.a tptp.a @t15)) % 27.63/27.92 (define @t51 () (= tptp.a @t50)) % 27.63/27.92 (define @t52 () (not @t51)) % 27.63/27.92 (define @t53 () (tptp.multiply tptp.a tptp.a tptp.a)) % 27.63/27.92 (define @t54 () (= (tptp.multiply @t53 @t13 @t53) @t50)) % 27.63/27.92 (define @t55 () (not @t54)) % 27.63/27.92 (define @t56 () (= tptp.a @t53)) % 27.63/27.92 (define @t57 () (not @t56)) % 27.63/27.92 (define @t58 () (= @t13 @t32)) % 27.63/27.92 (define @t59 () (not @t58)) % 27.63/27.92 (define @t60 () (= tptp.b @t14)) % 27.63/27.92 (define @t61 () (not @t60)) % 27.63/27.92 (define @t62 () (and @t61 @t58 @t56 @t54 @t51 @t48 @t46 @t44 @t42 @t38 @t35 @t33 @t28 @t24)) % 27.63/27.92 (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))))) % 27.63/27.92 (assume @p2 @t8) % 27.63/27.92 (assume @p3 @t10) % 27.63/27.92 (assume @p4 @t12) % 27.63/27.92 (assume @p5 (not (= @t14 tptp.b))) % 27.63/27.92 (step @p6 :rule symm :premises (@p5)) % 27.63/27.92 (step @p7 :rule eq-symm :args (@t6 @t3)) % 27.63/27.92 (step @p8 :rule cong :premises (@p7) :args (@t8)) % 27.63/27.92 (step @p9 :rule eq_resolve :premises (@p2 @p8)) % 27.63/27.92 (step @p10 :rule instantiate :premises (@p9) :args ((@list tptp.a @t13))) % 27.63/27.92 (step @p11 :rule instantiate :premises (@p9) :args ((@list tptp.a tptp.a))) % 27.63/27.92 (step @p12 :rule instantiate :premises (@p1) :args ((@list tptp.a tptp.a tptp.a @t13 tptp.a))) % 27.63/27.92 (step @p13 :rule eq-symm :args (@t9 @t3)) % 27.63/27.92 (step @p14 :rule cong :premises (@p13) :args (@t10)) % 27.63/27.92 (step @p15 :rule eq_resolve :premises (@p3 @p14)) % 27.63/27.92 (step @p16 :rule instantiate :premises (@p15) :args ((@list tptp.a @t15))) % 27.63/27.92 (step @p17 :rule instantiate :premises (@p15) :args ((@list tptp.b tptp.b))) % 27.63/27.92 (step @p18 :rule instantiate :premises (@p15) :args ((@list tptp.a @t16))) % 27.63/27.92 (step @p19 :rule eq-symm :args (@t11 @t3)) % 27.63/27.92 (step @p20 :rule cong :premises (@p19) :args (@t12)) % 27.63/27.92 (step @p21 :rule eq_resolve :premises (@p4 @p20)) % 27.63/27.92 (step @p22 :rule instantiate :premises (@p21) :args ((@list tptp.a tptp.b))) % 27.63/27.92 (step @p23 :rule instantiate :premises (@p1) :args ((@list tptp.a @t13 tptp.b tptp.b tptp.a))) % 27.63/27.92 (step @p24 :rule instantiate :premises (@p15) :args ((@list tptp.b tptp.a))) % 27.63/27.92 (step @p25 :rule instantiate :premises (@p15) :args ((@list tptp.b @t13))) % 27.63/27.92 (step @p26 :rule instantiate :premises (@p1) :args ((@list tptp.a @t13 tptp.b tptp.b @t13))) % 27.63/27.92 (step @p27 :rule instantiate :premises (@p1) :args ((@list @t17 tptp.b tptp.a tptp.a tptp.b))) % 27.63/27.92 (step @p28 :rule instantiate :premises (@p1) :args ((@list @t17 tptp.b @t13 tptp.a tptp.b))) % 27.63/27.92 (step @p29 :rule instantiate :premises (@p9) :args ((@list @t17 tptp.b))) % 27.63/27.92 (step @p30 :rule refl :args (@t20)) % 27.63/27.92 (step @p31 :rule refl :args (@t25)) % 27.63/27.92 (step @p32 :rule refl :args (@t29)) % 27.63/27.92 (step @p33 :rule refl :args (@t34)) % 27.63/27.92 (step @p34 :rule refl :args (@t36)) % 27.63/27.92 (step @p35 :rule refl :args (@t39)) % 27.63/27.92 (step @p36 :rule refl :args (@t43)) % 27.63/27.92 (step @p37 :rule refl :args (@t45)) % 27.63/27.92 (step @p38 :rule refl :args (@t47)) % 27.63/27.92 (step @p39 :rule refl :args (@t49)) % 27.63/27.92 (step @p40 :rule refl :args (@t52)) % 27.63/27.92 (step @p41 :rule refl :args (@t55)) % 27.63/27.92 (step @p42 :rule refl :args (@t57)) % 27.63/27.92 (step @p43 :rule refl :args (@t59)) % 27.63/27.92 (step @p44 :rule bool-double-not-elim :args (@t60)) % 27.63/27.92 (step @p45 :rule nary_cong :premises (@p44 @p43 @p42 @p41 @p40 @p39 @p38 @p37 @p36 @p35 @p34 @p33 @p32 @p31 @p30) :args ((or (not @t61) @t59 @t57 @t55 @t52 @t49 @t47 @t45 @t43 @t39 @t36 @t34 @t29 @t25 @t20))) % 27.63/27.92 (assume-push @p116 @t61) % 27.63/27.92 (assume-push @p117 @t58) % 27.63/27.92 (assume-push @p118 @t56) % 27.63/27.92 (assume-push @p119 @t54) % 27.63/27.92 (assume-push @p120 @t51) % 27.63/27.92 (assume-push @p121 @t48) % 27.63/27.92 (assume-push @p122 @t46) % 27.63/27.92 (assume-push @p123 @t44) % 27.63/27.92 (assume-push @p124 @t42) % 27.63/27.92 (assume-push @p125 @t38) % 27.63/27.92 (assume-push @p126 @t35) % 27.63/27.92 (assume-push @p127 @t33) % 27.63/27.92 (assume-push @p128 @t28) % 27.63/27.92 (assume-push @p129 @t24) % 27.63/27.92 (step @p60 :rule false_intro :premises (@p6)) % 27.63/27.92 (step @p61 :rule symm :premises (@p24)) % 27.63/27.92 (step @p62 :rule refl :args (@t13)) % 27.63/27.92 (step @p63 :rule refl :args (tptp.a)) % 27.63/27.92 (step @p64 :rule cong :premises (@p63 @p62 @p61) :args (@t40)) % 27.63/27.92 (step @p65 :rule cong :premises (@p11 @p62 @p11) :args (@t15)) % 27.63/27.92 (step @p66 :rule symm :premises (@p65)) % 27.63/27.92 (step @p67 :rule symm :premises (@p12)) % 27.63/27.92 (step @p68 :rule symm :premises (@p18)) % 27.63/27.92 (step @p69 :rule cong :premises (@p63 @p63 @p17) :args (@t26)) % 27.63/27.92 (step @p70 :rule trans :premises (@p69 @p68 @p16 @p67 @p66)) % 27.63/27.92 (step @p71 :rule refl :args (tptp.b)) % 27.63/27.92 (step @p72 :rule symm :premises (@p17)) % 27.63/27.92 (step @p73 :rule cong :premises (@p63 @p62 @p72) :args (@t17)) % 27.63/27.92 (step @p74 :rule cong :premises (@p73 @p71 @p70) :args (@t27)) % 27.63/27.92 (step @p75 :rule refl :args (@t18)) % 27.63/27.92 (step @p76 :rule symm :premises (@p16)) % 27.63/27.92 (step @p77 :rule trans :premises (@p65 @p12 @p76)) % 27.63/27.92 (step @p78 :rule symm :premises (@p73)) % 27.63/27.92 (step @p79 :rule cong :premises (@p78 @p71 @p77) :args (@t41)) % 27.63/27.92 (step @p80 :rule symm :premises (@p23)) % 27.63/27.92 (step @p81 :rule symm :premises (@p64)) % 27.63/27.92 (step @p82 :rule trans :premises (@p81 @p80 @p79)) % 27.63/27.92 (step @p83 :rule symm :premises (@p25)) % 27.63/27.92 (step @p84 :rule cong :premises (@p63 @p62 @p83) :args (@t31)) % 27.63/27.92 (step @p85 :rule cong :premises (@p73 @p71 @p10) :args (@t22)) % 27.63/27.92 (step @p86 :rule trans :premises (@p85 @p26 @p84)) % 27.63/27.92 (step @p87 :rule trans :premises (@p86 @p82)) % 27.63/27.92 (step @p88 :rule cong :premises (@p87 @p63 @p75) :args (@t23)) % 27.63/27.92 (step @p89 :rule symm :premises (@p28)) % 27.63/27.92 (step @p90 :rule refl :args (@t17)) % 27.63/27.92 (step @p91 :rule cong :premises (@p90 @p71 @p22) :args (@t18)) % 27.63/27.92 (step @p92 :rule trans :premises (@p91 @p89 @p88 @p27 @p74 @p23 @p64)) % 27.63/27.92 (step @p93 :rule cong :premises (@p71 @p92) :args (@t19)) % 27.63/27.92 (step @p94 :rule trans :premises (@p93 @p60)) % 27.63/27.92 (step @p95 :rule false_elim :premises (@p94)) % 27.63/27.92 (step-pop @p130 :rule scope :premises (@p95)) % 27.63/27.92 (step-pop @p131 :rule scope :premises (@p130)) % 27.63/27.92 (step-pop @p132 :rule scope :premises (@p131)) % 27.63/27.92 (step-pop @p133 :rule scope :premises (@p132)) % 27.63/27.92 (step-pop @p134 :rule scope :premises (@p133)) % 27.63/27.92 (step-pop @p135 :rule scope :premises (@p134)) % 27.63/27.92 (step-pop @p136 :rule scope :premises (@p135)) % 27.63/27.92 (step-pop @p137 :rule scope :premises (@p136)) % 27.63/27.92 (step-pop @p138 :rule scope :premises (@p137)) % 27.63/27.92 (step-pop @p139 :rule scope :premises (@p138)) % 27.63/27.92 (step-pop @p140 :rule scope :premises (@p139)) % 27.63/27.92 (step-pop @p141 :rule scope :premises (@p140)) % 27.63/27.92 (step-pop @p142 :rule scope :premises (@p141)) % 27.63/27.92 (step-pop @p143 :rule scope :premises (@p142)) % 27.63/27.92 (step @p96 :rule process_scope :premises (@p143) :args (@t20)) % 27.63/27.92 (step @p111 :rule implies_elim :premises (@p96)) % 27.63/27.92 (step @p112 :rule cnf_and_neg :args (@t62)) % 27.63/27.92 (step @p113 :rule resolution :premises (@p112 @p111) :args (true @t62)) % 27.63/27.92 (step @p114 :rule eq_resolve :premises (@p113 @p45)) % 27.63/27.92 (step @p115 false :rule chain_m_resolution :premises (@p114 @p29 @p28 @p27 @p26 @p25 @p24 @p23 @p22 @p18 @p17 @p16 @p12 @p11 @p10 @p6) :args (false (@list false false false false false false false false false false false false false false true) (@list @t19 @t24 @t28 @t33 @t35 @t38 @t42 @t44 @t46 @t48 @t51 @t54 @t56 @t58 @t60))) % 27.63/27.92 ) % 27.63/27.92 % SZS output end Proof % 27.63/27.92 % cvc5 exiting %------------------------------------------------------------------------------