%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GRP533-1 : TPTP v9.2.1. Released v2.6.0. % 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 08:20:53 AM UTC 2026 % Result : Unsatisfiable 0.39s 0.59s % Output : Proof 0.39s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GRP533-1 : TPTP v9.2.1. Released v2.6.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.15/0.34 % Computer : n025.cluster.edu % 0.15/0.34 % Model : x86_64 x86_64 % 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.34 % Memory : 8042.1875MB % 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.34 % CPULimit : 300 % 0.15/0.34 % WCLimit : 300 % 0.15/0.34 % DateTime : Tue Jun 2 01:15:46 EDT 2026 % 0.15/0.34 % CPUTime : % 0.32/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.32/0.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.39/0.59 % SZS status Unsatisfiable % 0.39/0.59 % SZS output start Proof % 0.39/0.60 ( % 0.39/0.60 (declare-sort $$unsorted 0) % 0.39/0.60 (declare-const tptp.identity $$unsorted) % 0.39/0.60 (declare-const tptp.b1 $$unsorted) % 0.39/0.60 (declare-const tptp.inverse (-> $$unsorted $$unsorted)) % 0.39/0.60 (declare-const tptp.multiply (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.60 (declare-const tptp.a1 $$unsorted) % 0.39/0.60 (declare-const tptp.divide (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.60 (define @t1 () (@var "C" $$unsorted)) % 0.39/0.60 (define @t2 () (@var "B" $$unsorted)) % 0.39/0.60 (define @t3 () (@var "A" $$unsorted)) % 0.39/0.60 (define @t4 () (tptp.divide (tptp.divide @t3 (tptp.divide (tptp.divide @t3 @t2) @t1)) @t2)) % 0.39/0.60 (define @t5 () (@list @t3 @t2 @t1)) % 0.39/0.60 (define @t6 () (forall @t5 (= @t4 @t1))) % 0.39/0.60 (define @t7 () (tptp.inverse tptp.b1)) % 0.39/0.60 (define @t8 () (tptp.divide tptp.a1 tptp.a1)) % 0.39/0.60 (define @t9 () (tptp.divide @t8 tptp.a1)) % 0.39/0.60 (define @t10 () (tptp.divide tptp.a1 @t9)) % 0.39/0.60 (define @t11 () (tptp.divide @t10 tptp.a1)) % 0.39/0.60 (define @t12 () (tptp.divide tptp.a1 @t11)) % 0.39/0.60 (define @t13 () (tptp.divide (tptp.divide @t12 @t9) tptp.a1)) % 0.39/0.60 (define @t14 () (tptp.divide @t12 @t13)) % 0.39/0.60 (define @t15 () (tptp.divide @t14 tptp.b1)) % 0.39/0.60 (define @t16 () (tptp.divide @t12 (tptp.divide (tptp.divide @t12 @t15) @t13))) % 0.39/0.60 (define @t17 () (tptp.divide @t16 @t15)) % 0.39/0.60 (define @t18 () (tptp.divide @t11 tptp.a1)) % 0.39/0.60 (define @t19 () (tptp.divide @t10 @t18)) % 0.39/0.60 (define @t20 () (tptp.divide @t10 (tptp.divide @t19 tptp.a1))) % 0.39/0.60 (define @t21 () (tptp.divide tptp.a1 @t19)) % 0.39/0.60 (define @t22 () (tptp.divide @t8 @t9)) % 0.39/0.60 (define @t23 () (tptp.divide @t11 @t9)) % 0.39/0.60 (define @t24 () (tptp.divide @t10 @t23)) % 0.39/0.60 (define @t25 () (= @t13 @t17)) % 0.39/0.60 (define @t26 () (forall @t5 (= @t1 @t4))) % 0.39/0.60 (assume @p1 @t6) % 0.39/0.60 (assume @p2 (forall @t5 (= (tptp.multiply @t3 @t2) (tptp.divide @t3 (tptp.divide (tptp.divide @t1 @t1) @t2))))) % 0.39/0.60 (assume @p3 (forall (@list @t3 @t2) (= (tptp.inverse @t3) (tptp.divide (tptp.divide @t2 @t2) @t3)))) % 0.39/0.60 (assume @p4 (forall (@list @t3) (= tptp.identity (tptp.divide @t3 @t3)))) % 0.39/0.60 (assume @p5 (not (= (tptp.multiply (tptp.inverse tptp.a1) tptp.a1) (tptp.multiply @t7 tptp.b1)))) % 0.39/0.60 (step @p6 :rule eq-symm :args (@t4 @t1)) % 0.39/0.60 (step @p7 :rule cong :premises (@p6) :args (@t6)) % 0.39/0.60 (step @p8 :rule eq_resolve :premises (@p1 @p7)) % 0.39/0.60 (step @p9 :rule false_intro :premises (@p5)) % 0.39/0.60 (step @p10 :rule instantiate :premises (@p2) :args ((@list @t7 tptp.b1 @t12))) % 0.39/0.60 (step @p11 :rule symm :premises (@p10)) % 0.39/0.60 (step @p12 :rule refl :args (tptp.b1)) % 0.39/0.60 (step @p13 :rule instantiate :premises (@p8) :args ((@list tptp.a1 tptp.a1 tptp.a1))) % 0.39/0.60 (step @p14 :rule refl :args (tptp.a1)) % 0.39/0.60 (step @p15 :rule cong :premises (@p14 @p13) :args (@t8)) % 0.39/0.60 (step @p16 :rule instantiate :premises (@p8) :args ((@list tptp.a1 @t9 tptp.a1))) % 0.39/0.60 (step @p17 :rule symm :premises (@p16)) % 0.39/0.60 (step @p18 :rule cong :premises (@p17 @p14) :args (@t13)) % 0.39/0.60 (step @p19 :rule trans :premises (@p18 @p15)) % 0.39/0.60 (step @p20 :rule refl :args (@t12)) % 0.39/0.60 (step @p21 :rule cong :premises (@p20 @p19) :args (@t14)) % 0.39/0.60 (step @p22 :rule refl :args (@t13)) % 0.39/0.60 (step @p23 :rule cong :premises (@p19 @p22) :args ((tptp.divide @t13 @t13))) % 0.39/0.60 (step @p24 :rule instantiate :premises (@p4) :args ((@list @t13))) % 0.39/0.60 (step @p25 :rule instantiate :premises (@p4) :args ((@list tptp.a1))) % 0.39/0.60 (step @p26 :rule symm :premises (@p25)) % 0.39/0.60 (step @p27 :rule trans :premises (@p26 @p24 @p23 @p21)) % 0.39/0.60 (step @p28 :rule cong :premises (@p27 @p12) :args ((tptp.divide @t8 tptp.b1))) % 0.39/0.60 (step @p29 :rule symm :premises (@p24)) % 0.39/0.60 (step @p30 :rule symm :premises (@p23)) % 0.39/0.60 (step @p31 :rule trans :premises (@p30 @p29 @p25)) % 0.39/0.60 (step @p32 :rule cong :premises (@p31 @p12) :args (@t15)) % 0.39/0.60 (step @p33 :rule trans :premises (@p32 @p28)) % 0.39/0.60 (step @p34 :rule instantiate :premises (@p3) :args ((@list tptp.b1 tptp.a1))) % 0.39/0.60 (step @p35 :rule symm :premises (@p34)) % 0.39/0.60 (step @p36 :rule instantiate :premises (@p8) :args ((@list @t12 @t13 tptp.b1))) % 0.39/0.60 (step @p37 :rule symm :premises (@p36)) % 0.39/0.60 (step @p38 :rule symm :premises (@p15)) % 0.39/0.60 (step @p39 :rule cong :premises (@p38 @p37) :args (@t16)) % 0.39/0.60 (step @p40 :rule trans :premises (@p39 @p35)) % 0.39/0.60 (step @p41 :rule cong :premises (@p40 @p33) :args (@t17)) % 0.39/0.60 (step @p42 :rule trans :premises (@p41 @p11)) % 0.39/0.60 (step @p43 :rule instantiate :premises (@p3) :args ((@list tptp.a1 tptp.a1))) % 0.39/0.60 (step @p44 :rule symm :premises (@p43)) % 0.39/0.60 (step @p45 :rule instantiate :premises (@p8) :args ((@list tptp.a1 @t19 @t9))) % 0.39/0.60 (step @p46 :rule symm :premises (@p45)) % 0.39/0.60 (step @p47 :rule refl :args (@t19)) % 0.39/0.60 (step @p48 :rule instantiate :premises (@p8) :args ((@list tptp.a1 @t9 @t18))) % 0.39/0.60 (step @p49 :rule symm :premises (@p13)) % 0.39/0.60 (step @p50 :rule instantiate :premises (@p8) :args ((@list @t10 tptp.a1 tptp.a1))) % 0.39/0.60 (step @p51 :rule symm :premises (@p50)) % 0.39/0.60 (step @p52 :rule refl :args (@t10)) % 0.39/0.60 (step @p53 :rule cong :premises (@p52 @p51) :args (@t20)) % 0.39/0.60 (step @p54 :rule trans :premises (@p53 @p49)) % 0.39/0.60 (step @p55 :rule cong :premises (@p54 @p48) :args ((tptp.divide @t20 @t18))) % 0.39/0.60 (step @p56 :rule instantiate :premises (@p8) :args ((@list @t10 @t18 tptp.a1))) % 0.39/0.60 (step @p57 :rule trans :premises (@p56 @p55)) % 0.39/0.60 (step @p58 :rule cong :premises (@p57 @p47) :args (@t21)) % 0.39/0.60 (step @p59 :rule trans :premises (@p58 @p46 @p44)) % 0.39/0.60 (step @p60 :rule cong :premises (@p59 @p14) :args ((tptp.multiply @t21 tptp.a1))) % 0.39/0.60 (step @p61 :rule instantiate :premises (@p2) :args ((@list @t21 tptp.a1 @t10))) % 0.39/0.60 (step @p62 :rule symm :premises (@p61)) % 0.39/0.60 (step @p63 :rule refl :args (@t9)) % 0.39/0.60 (step @p64 :rule cong :premises (@p15 @p63) :args (@t22)) % 0.39/0.60 (step @p65 :rule trans :premises (@p64 @p17)) % 0.39/0.60 (step @p66 :rule cong :premises (@p49 @p63) :args (@t23)) % 0.39/0.60 (step @p67 :rule cong :premises (@p52 @p66) :args (@t24)) % 0.39/0.60 (step @p68 :rule cong :premises (@p67 @p65) :args ((tptp.divide @t24 @t22))) % 0.39/0.60 (step @p69 :rule symm :premises (@p65)) % 0.39/0.60 (step @p70 :rule refl :args (@t24)) % 0.39/0.60 (step @p71 :rule cong :premises (@p70 @p69) :args ((tptp.divide @t24 tptp.a1))) % 0.39/0.60 (step @p72 :rule instantiate :premises (@p8) :args ((@list @t10 tptp.a1 @t9))) % 0.39/0.60 (step @p73 :rule trans :premises (@p72 @p71 @p68)) % 0.39/0.60 (step @p74 :rule refl :args (@t21)) % 0.39/0.60 (step @p75 :rule cong :premises (@p74 @p73) :args ((tptp.divide @t21 @t9))) % 0.39/0.60 (step @p76 :rule cong :premises (@p13 @p14) :args (@t8)) % 0.39/0.60 (step @p77 :rule trans :premises (@p18 @p76 @p48 @p75 @p62 @p60)) % 0.39/0.60 (step @p78 :rule cong :premises (@p77 @p42) :args (@t25)) % 0.39/0.60 (step @p79 :rule trans :premises (@p78 @p9)) % 0.39/0.60 (step @p80 :rule false_elim :premises (@p79)) % 0.39/0.60 (assume-push @p87 @t26) % 0.39/0.60 (step @p82 :rule instantiate :premises (@p8) :args ((@list @t12 @t15 @t13))) % 0.39/0.60 (step-pop @p88 :rule scope :premises (@p82)) % 0.39/0.60 (step @p83 :rule process_scope :premises (@p88) :args (@t25)) % 0.39/0.60 (step @p85 :rule implies_elim :premises (@p83)) % 0.39/0.60 (step @p86 false :rule chain_m_resolution :premises (@p85 @p80 @p8) :args (false (@list true false) (@list @t25 @t26))) % 0.39/0.60 ) % 0.39/0.60 % SZS output end Proof % 0.39/0.60 % cvc5 exiting %------------------------------------------------------------------------------