%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GRP540-1 : TPTP v9.2.1. Bugfixed v2.7.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n026.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 08:20:53 AM UTC 2026 % Result : Unsatisfiable 15.95s 16.15s % Output : Proof 15.95s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GRP540-1 : TPTP v9.2.1. Bugfixed v2.7.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.33 % Computer : n026.cluster.edu % 0.16/0.33 % Model : x86_64 x86_64 % 0.16/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.33 % Memory : 8042.1875MB % 0.16/0.33 % 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 : Tue Jun 2 01:16:10 EDT 2026 % 0.16/0.34 % CPUTime : % 0.27/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.27/0.51 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 15.32/15.58 --- Run --no-e-matching --full-saturate-quant at 6... % 15.95/16.15 % SZS status Unsatisfiable % 15.95/16.15 % SZS output start Proof % 15.95/16.15 ( % 15.95/16.15 (declare-sort $$unsorted 0) % 15.95/16.15 (declare-const tptp.identity $$unsorted) % 15.95/16.15 (declare-const tptp.b $$unsorted) % 15.95/16.15 (declare-const tptp.inverse (-> $$unsorted $$unsorted)) % 15.95/16.15 (declare-const tptp.multiply (-> $$unsorted $$unsorted $$unsorted)) % 15.95/16.15 (declare-const tptp.a $$unsorted) % 15.95/16.15 (declare-const tptp.divide (-> $$unsorted $$unsorted $$unsorted)) % 15.95/16.15 (define @t1 () (@var "C" $$unsorted)) % 15.95/16.15 (define @t2 () (@var "B" $$unsorted)) % 15.95/16.15 (define @t3 () (@var "A" $$unsorted)) % 15.95/16.15 (define @t4 () (tptp.divide (tptp.divide @t3 @t2) (tptp.divide (tptp.divide @t3 @t1) @t2))) % 15.95/16.15 (define @t5 () (@list @t3 @t2 @t1)) % 15.95/16.15 (define @t6 () (forall @t5 (= @t4 @t1))) % 15.95/16.15 (define @t7 () (tptp.multiply tptp.b tptp.a)) % 15.95/16.15 (define @t8 () (tptp.multiply tptp.a tptp.b)) % 15.95/16.15 (define @t9 () (= @t8 @t7)) % 15.95/16.15 (define @t10 () (tptp.divide tptp.a tptp.a)) % 15.95/16.15 (define @t11 () (tptp.divide @t10 tptp.a)) % 15.95/16.15 (define @t12 () (tptp.divide @t10 @t10)) % 15.95/16.15 (define @t13 () (tptp.divide @t12 tptp.b)) % 15.95/16.15 (define @t14 () (tptp.divide @t10 @t13)) % 15.95/16.15 (define @t15 () (tptp.divide @t14 @t11)) % 15.95/16.15 (define @t16 () (tptp.divide @t12 @t10)) % 15.95/16.15 (define @t17 () (tptp.divide @t10 @t11)) % 15.95/16.15 (define @t18 () (= tptp.a @t17)) % 15.95/16.15 (define @t19 () (= tptp.identity @t10)) % 15.95/16.15 (define @t20 () (= tptp.identity @t12)) % 15.95/16.15 (define @t21 () (tptp.divide tptp.b tptp.b)) % 15.95/16.15 (define @t22 () (= tptp.identity @t21)) % 15.95/16.15 (define @t23 () (tptp.divide @t12 tptp.a)) % 15.95/16.15 (define @t24 () (= @t10 (tptp.divide @t11 @t23))) % 15.95/16.15 (define @t25 () (tptp.divide @t11 @t11)) % 15.95/16.15 (define @t26 () (tptp.divide @t17 @t25)) % 15.95/16.15 (define @t27 () (= tptp.a @t26)) % 15.95/16.15 (define @t28 () (= tptp.b (tptp.divide @t21 (tptp.divide @t21 tptp.b)))) % 15.95/16.15 (define @t29 () (tptp.divide @t12 @t13)) % 15.95/16.15 (define @t30 () (tptp.divide @t29 tptp.b)) % 15.95/16.15 (define @t31 () (tptp.divide @t13 @t30)) % 15.95/16.15 (define @t32 () (= @t13 @t31)) % 15.95/16.15 (define @t33 () (tptp.divide tptp.a @t13)) % 15.95/16.15 (define @t34 () (= @t8 @t33)) % 15.95/16.15 (define @t35 () (tptp.divide @t17 @t15)) % 15.95/16.15 (define @t36 () (= @t13 @t35)) % 15.95/16.15 (define @t37 () (= @t15 (tptp.divide (tptp.divide tptp.a @t16) (tptp.divide (tptp.divide tptp.a @t15) @t16)))) % 15.95/16.15 (define @t38 () (= @t7 (tptp.divide tptp.b @t23))) % 15.95/16.15 (define @t39 () (and @t18 @t19 @t20 @t22 @t24 @t27 @t28 @t32 @t34 @t36 @t37 @t38)) % 15.95/16.15 (assume @p1 @t6) % 15.95/16.15 (assume @p2 (forall @t5 (= (tptp.multiply @t3 @t2) (tptp.divide @t3 (tptp.divide (tptp.divide @t1 @t1) @t2))))) % 15.95/16.15 (assume @p3 (forall (@list @t3 @t2) (= (tptp.inverse @t3) (tptp.divide (tptp.divide @t2 @t2) @t3)))) % 15.95/16.15 (assume @p4 (forall (@list @t3) (= tptp.identity (tptp.divide @t3 @t3)))) % 15.95/16.15 (assume @p5 (not @t9)) % 15.95/16.15 (step @p6 :rule eq-symm :args (@t4 @t1)) % 15.95/16.15 (step @p7 :rule cong :premises (@p6) :args (@t6)) % 15.95/16.15 (step @p8 :rule eq_resolve :premises (@p1 @p7)) % 15.95/16.15 (step @p9 :rule instantiate :premises (@p8) :args ((@list tptp.a tptp.a tptp.a))) % 15.95/16.15 (step @p10 :rule instantiate :premises (@p4) :args ((@list tptp.a))) % 15.95/16.15 (step @p11 :rule instantiate :premises (@p4) :args ((@list @t10))) % 15.95/16.15 (step @p12 :rule instantiate :premises (@p4) :args ((@list tptp.b))) % 15.95/16.15 (step @p13 :rule instantiate :premises (@p8) :args ((@list @t10 tptp.a @t10))) % 15.95/16.15 (step @p14 :rule instantiate :premises (@p8) :args ((@list @t10 @t11 tptp.a))) % 15.95/16.15 (step @p15 :rule instantiate :premises (@p8) :args ((@list tptp.b tptp.b tptp.b))) % 15.95/16.15 (step @p16 :rule instantiate :premises (@p8) :args ((@list @t12 tptp.b @t13))) % 15.95/16.15 (step @p17 :rule instantiate :premises (@p2) :args ((@list tptp.a tptp.b @t10))) % 15.95/16.15 (step @p18 :rule instantiate :premises (@p8) :args ((@list @t10 @t11 @t13))) % 15.95/16.15 (step @p19 :rule instantiate :premises (@p8) :args ((@list tptp.a @t16 @t15))) % 15.95/16.15 (step @p20 :rule instantiate :premises (@p2) :args ((@list tptp.b tptp.a @t10))) % 15.95/16.15 (assume-push @p90 @t18) % 15.95/16.15 (assume-push @p91 @t19) % 15.95/16.15 (assume-push @p92 @t20) % 15.95/16.15 (assume-push @p93 @t22) % 15.95/16.15 (assume-push @p94 @t24) % 15.95/16.15 (assume-push @p95 @t27) % 15.95/16.15 (assume-push @p96 @t28) % 15.95/16.15 (assume-push @p97 @t32) % 15.95/16.15 (assume-push @p98 @t34) % 15.95/16.15 (assume-push @p99 @t36) % 15.95/16.15 (assume-push @p100 @t37) % 15.95/16.15 (assume-push @p101 @t38) % 15.95/16.15 (step @p33 :rule symm :premises (@p20)) % 15.95/16.15 (step @p34 :rule refl :args (tptp.a)) % 15.95/16.15 (step @p35 :rule symm :premises (@p10)) % 15.95/16.15 (step @p36 :rule trans :premises (@p35 @p11)) % 15.95/16.15 (step @p37 :rule cong :premises (@p36 @p34) :args (@t11)) % 15.95/16.15 (step @p38 :rule symm :premises (@p15)) % 15.95/16.15 (step @p39 :rule refl :args (tptp.b)) % 15.95/16.15 (step @p40 :rule trans :premises (@p35 @p12)) % 15.95/16.15 (step @p41 :rule symm :premises (@p36)) % 15.95/16.15 (step @p42 :rule trans :premises (@p41 @p40)) % 15.95/16.15 (step @p43 :rule cong :premises (@p42 @p39) :args (@t13)) % 15.95/16.15 (step @p44 :rule cong :premises (@p40 @p43) :args (@t14)) % 15.95/16.15 (step @p45 :rule trans :premises (@p44 @p38)) % 15.95/16.15 (step @p46 :rule cong :premises (@p45 @p37) :args (@t15)) % 15.95/16.15 (step @p47 :rule symm :premises (@p19)) % 15.95/16.15 (step @p48 :rule refl :args (@t16)) % 15.95/16.15 (step @p49 :rule refl :args (@t15)) % 15.95/16.15 (step @p50 :rule symm :premises (@p9)) % 15.95/16.15 (step @p51 :rule cong :premises (@p50 @p49) :args (@t35)) % 15.95/16.15 (step @p52 :rule trans :premises (@p18 @p51)) % 15.95/16.15 (step @p53 :rule cong :premises (@p52 @p48) :args ((tptp.divide @t13 @t16))) % 15.95/16.15 (step @p54 :rule refl :args (@t10)) % 15.95/16.15 (step @p55 :rule cong :premises (@p36 @p54) :args (@t12)) % 15.95/16.15 (step @p56 :rule symm :premises (@p12)) % 15.95/16.15 (step @p57 :rule refl :args (@t13)) % 15.95/16.15 (step @p58 :rule cong :premises (@p41 @p57) :args (@t29)) % 15.95/16.15 (step @p59 :rule trans :premises (@p58 @p44 @p38)) % 15.95/16.15 (step @p60 :rule cong :premises (@p59 @p39) :args (@t30)) % 15.95/16.15 (step @p61 :rule trans :premises (@p60 @p56 @p11 @p55)) % 15.95/16.15 (step @p62 :rule cong :premises (@p57 @p61) :args (@t31)) % 15.95/16.15 (step @p63 :rule trans :premises (@p16 @p62 @p53)) % 15.95/16.15 (step @p64 :rule symm :premises (@p13)) % 15.95/16.15 (step @p65 :rule refl :args (@t11)) % 15.95/16.15 (step @p66 :rule cong :premises (@p65 @p37) :args (@t25)) % 15.95/16.15 (step @p67 :rule trans :premises (@p66 @p64 @p35 @p11 @p55)) % 15.95/16.15 (step @p68 :rule cong :premises (@p50 @p67) :args (@t26)) % 15.95/16.15 (step @p69 :rule trans :premises (@p14 @p68)) % 15.95/16.15 (step @p70 :rule cong :premises (@p69 @p63) :args (@t33)) % 15.95/16.15 (step @p71 :rule trans :premises (@p17 @p70 @p47 @p46 @p33)) % 15.95/16.15 (step-pop @p102 :rule scope :premises (@p71)) % 15.95/16.15 (step-pop @p103 :rule scope :premises (@p102)) % 15.95/16.15 (step-pop @p104 :rule scope :premises (@p103)) % 15.95/16.15 (step-pop @p105 :rule scope :premises (@p104)) % 15.95/16.15 (step-pop @p106 :rule scope :premises (@p105)) % 15.95/16.15 (step-pop @p107 :rule scope :premises (@p106)) % 15.95/16.15 (step-pop @p108 :rule scope :premises (@p107)) % 15.95/16.15 (step-pop @p109 :rule scope :premises (@p108)) % 15.95/16.15 (step-pop @p110 :rule scope :premises (@p109)) % 15.95/16.15 (step-pop @p111 :rule scope :premises (@p110)) % 15.95/16.15 (step-pop @p112 :rule scope :premises (@p111)) % 15.95/16.15 (step-pop @p113 :rule scope :premises (@p112)) % 15.95/16.15 (step @p72 :rule process_scope :premises (@p113) :args (@t9)) % 15.95/16.15 (step @p85 :rule implies_elim :premises (@p72)) % 15.95/16.15 (step @p86 :rule cnf_and_neg :args (@t39)) % 15.95/16.15 (step @p87 :rule resolution :premises (@p86 @p85) :args (true @t39)) % 15.95/16.15 (step @p88 :rule reordering :premises (@p87) :args ((or @t9 (not @t18) (not @t19) (not @t20) (not @t22) (not @t24) (not @t27) (not @t28) (not @t32) (not @t34) (not @t36) (not @t37) (not @t38)))) % 15.95/16.15 (step @p89 false :rule chain_m_resolution :premises (@p88 @p20 @p19 @p18 @p17 @p16 @p15 @p14 @p13 @p12 @p11 @p10 @p9 @p5) :args (false (@list false false false false false false false false false false false false true) (@list @t38 @t37 @t36 @t34 @t32 @t28 @t27 @t24 @t22 @t20 @t19 @t18 @t9))) % 15.95/16.15 ) % 15.95/16.16 % SZS output end Proof % 15.95/16.16 % cvc5 exiting %------------------------------------------------------------------------------