%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GRP537-1 : 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 0.37s 0.57s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GRP537-1 : 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 % 0.16/0.33 % Computer : n025.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 % 0.16/0.33 % CPULimit : 300 % 0.16/0.33 % WCLimit : 300 % 0.16/0.33 % DateTime : Tue Jun 2 01:14:46 EDT 2026 % 0.16/0.34 % CPUTime : % 0.30/0.48 %----Proving TF0_NAR, FOF, or CNF % 0.30/0.49 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.37/0.57 % SZS status Unsatisfiable % 0.37/0.57 % SZS output start Proof % 0.37/0.57 ( % 0.37/0.57 (declare-sort $$unsorted 0) % 0.37/0.57 (declare-const tptp.identity $$unsorted) % 0.37/0.57 (declare-const tptp.b1 $$unsorted) % 0.37/0.57 (declare-const tptp.inverse (-> $$unsorted $$unsorted)) % 0.37/0.57 (declare-const tptp.multiply (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.57 (declare-const tptp.a1 $$unsorted) % 0.37/0.57 (declare-const tptp.divide (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.57 (define @t1 () (@var "C" $$unsorted)) % 0.37/0.57 (define @t2 () (@var "B" $$unsorted)) % 0.37/0.57 (define @t3 () (@var "A" $$unsorted)) % 0.37/0.57 (define @t4 () (tptp.divide (tptp.divide @t3 @t2) (tptp.divide (tptp.divide @t3 @t1) @t2))) % 0.37/0.57 (define @t5 () (@list @t3 @t2 @t1)) % 0.37/0.57 (define @t6 () (forall @t5 (= @t4 @t1))) % 0.37/0.57 (define @t7 () (tptp.inverse tptp.b1)) % 0.37/0.57 (define @t8 () (tptp.inverse tptp.a1)) % 0.37/0.57 (define @t9 () (tptp.divide tptp.a1 tptp.a1)) % 0.37/0.57 (define @t10 () (tptp.divide @t9 tptp.a1)) % 0.37/0.57 (define @t11 () (tptp.divide tptp.a1 @t10)) % 0.37/0.57 (define @t12 () (tptp.divide @t9 @t10)) % 0.37/0.57 (define @t13 () (tptp.divide @t12 @t10)) % 0.37/0.57 (define @t14 () (tptp.divide @t11 @t13)) % 0.37/0.57 (define @t15 () (tptp.divide @t11 @t12)) % 0.37/0.57 (define @t16 () (tptp.divide @t15 tptp.a1)) % 0.37/0.57 (define @t17 () (tptp.divide @t15 @t10)) % 0.37/0.57 (define @t18 () (tptp.divide @t14 @t16)) % 0.37/0.57 (define @t19 () (tptp.divide @t18 tptp.b1)) % 0.37/0.57 (define @t20 () (tptp.divide @t14 tptp.b1)) % 0.37/0.57 (define @t21 () (tptp.divide @t20 @t19)) % 0.37/0.57 (define @t22 () (tptp.divide @t12 tptp.a1)) % 0.37/0.57 (define @t23 () (tptp.divide @t10 @t22)) % 0.37/0.57 (define @t24 () (tptp.divide @t23 @t22)) % 0.37/0.57 (define @t25 () (= @t16 @t21)) % 0.37/0.57 (define @t26 () (forall @t5 (= @t1 @t4))) % 0.37/0.57 (assume @p1 @t6) % 0.37/0.57 (assume @p2 (forall @t5 (= (tptp.multiply @t3 @t2) (tptp.divide @t3 (tptp.divide (tptp.divide @t1 @t1) @t2))))) % 0.37/0.57 (assume @p3 (forall (@list @t3 @t2) (= (tptp.inverse @t3) (tptp.divide (tptp.divide @t2 @t2) @t3)))) % 0.37/0.57 (assume @p4 (forall (@list @t3) (= tptp.identity (tptp.divide @t3 @t3)))) % 0.37/0.57 (assume @p5 (not (= (tptp.multiply @t8 tptp.a1) (tptp.multiply @t7 tptp.b1)))) % 0.37/0.57 (step @p6 :rule eq-symm :args (@t4 @t1)) % 0.37/0.57 (step @p7 :rule cong :premises (@p6) :args (@t6)) % 0.37/0.57 (step @p8 :rule eq_resolve :premises (@p1 @p7)) % 0.37/0.57 (step @p9 :rule false_intro :premises (@p5)) % 0.37/0.57 (step @p10 :rule instantiate :premises (@p2) :args ((@list @t7 tptp.b1 @t11))) % 0.37/0.57 (step @p11 :rule symm :premises (@p10)) % 0.37/0.57 (step @p12 :rule refl :args (tptp.b1)) % 0.37/0.57 (step @p13 :rule refl :args (@t10)) % 0.37/0.57 (step @p14 :rule instantiate :premises (@p8) :args ((@list tptp.a1 tptp.a1 tptp.a1))) % 0.37/0.57 (step @p15 :rule symm :premises (@p14)) % 0.37/0.57 (step @p16 :rule cong :premises (@p15 @p13) :args (@t13)) % 0.37/0.57 (step @p17 :rule refl :args (@t11)) % 0.37/0.57 (step @p18 :rule cong :premises (@p17 @p16) :args (@t14)) % 0.37/0.57 (step @p19 :rule refl :args (@t13)) % 0.37/0.57 (step @p20 :rule cong :premises (@p16 @p19) :args ((tptp.divide @t13 @t13))) % 0.37/0.57 (step @p21 :rule instantiate :premises (@p4) :args ((@list @t13))) % 0.37/0.57 (step @p22 :rule instantiate :premises (@p4) :args ((@list tptp.a1))) % 0.37/0.57 (step @p23 :rule symm :premises (@p22)) % 0.37/0.57 (step @p24 :rule trans :premises (@p23 @p21 @p20 @p18)) % 0.37/0.57 (step @p25 :rule cong :premises (@p24 @p12) :args ((tptp.divide @t9 tptp.b1))) % 0.37/0.57 (step @p26 :rule instantiate :premises (@p4) :args ((@list @t16))) % 0.37/0.57 (step @p27 :rule symm :premises (@p26)) % 0.37/0.57 (step @p28 :rule refl :args (@t16)) % 0.37/0.57 (step @p29 :rule refl :args (tptp.a1)) % 0.37/0.57 (step @p30 :rule instantiate :premises (@p8) :args ((@list tptp.a1 @t10 tptp.a1))) % 0.37/0.57 (step @p31 :rule symm :premises (@p30)) % 0.37/0.57 (step @p32 :rule cong :premises (@p31 @p29) :args (@t16)) % 0.37/0.57 (step @p33 :rule symm :premises (@p32)) % 0.37/0.57 (step @p34 :rule symm :premises (@p21)) % 0.37/0.57 (step @p35 :rule symm :premises (@p20)) % 0.37/0.57 (step @p36 :rule symm :premises (@p16)) % 0.37/0.57 (step @p37 :rule cong :premises (@p31 @p13) :args (@t17)) % 0.37/0.57 (step @p38 :rule trans :premises (@p37 @p36)) % 0.37/0.57 (step @p39 :rule cong :premises (@p17 @p38) :args ((tptp.divide @t11 @t17))) % 0.37/0.57 (step @p40 :rule trans :premises (@p39 @p35 @p34 @p22)) % 0.37/0.57 (step @p41 :rule symm :premises (@p39)) % 0.37/0.57 (step @p42 :rule trans :premises (@p41 @p40 @p33)) % 0.37/0.57 (step @p43 :rule cong :premises (@p42 @p28) :args (@t18)) % 0.37/0.57 (step @p44 :rule trans :premises (@p43 @p27 @p22)) % 0.37/0.57 (step @p45 :rule cong :premises (@p44 @p12) :args (@t19)) % 0.37/0.57 (step @p46 :rule trans :premises (@p45 @p25)) % 0.37/0.57 (step @p47 :rule instantiate :premises (@p3) :args ((@list tptp.b1 tptp.a1))) % 0.37/0.57 (step @p48 :rule symm :premises (@p47)) % 0.37/0.57 (step @p49 :rule trans :premises (@p35 @p34 @p22)) % 0.37/0.57 (step @p50 :rule cong :premises (@p49 @p12) :args (@t20)) % 0.37/0.57 (step @p51 :rule trans :premises (@p50 @p48)) % 0.37/0.57 (step @p52 :rule cong :premises (@p51 @p46) :args (@t21)) % 0.37/0.57 (step @p53 :rule trans :premises (@p52 @p11)) % 0.37/0.57 (step @p54 :rule instantiate :premises (@p2) :args ((@list @t8 tptp.a1 tptp.a1))) % 0.37/0.57 (step @p55 :rule symm :premises (@p54)) % 0.37/0.57 (step @p56 :rule instantiate :premises (@p8) :args ((@list @t9 tptp.a1 @t10))) % 0.37/0.57 (step @p57 :rule symm :premises (@p56)) % 0.37/0.57 (step @p58 :rule refl :args (@t22)) % 0.37/0.57 (step @p59 :rule instantiate :premises (@p8) :args ((@list @t9 @t10 @t10))) % 0.37/0.57 (step @p60 :rule symm :premises (@p59)) % 0.37/0.57 (step @p61 :rule cong :premises (@p60 @p58) :args ((tptp.divide (tptp.divide @t12 @t13) @t22))) % 0.37/0.57 (step @p62 :rule trans :premises (@p57 @p59)) % 0.37/0.57 (step @p63 :rule cong :premises (@p62 @p58) :args (@t24)) % 0.37/0.57 (step @p64 :rule trans :premises (@p63 @p61 @p57)) % 0.37/0.57 (step @p65 :rule instantiate :premises (@p3) :args ((@list tptp.a1 tptp.a1))) % 0.37/0.57 (step @p66 :rule symm :premises (@p65)) % 0.37/0.57 (step @p67 :rule trans :premises (@p57 @p66)) % 0.37/0.57 (step @p68 :rule cong :premises (@p67 @p64) :args ((tptp.divide @t23 @t24))) % 0.37/0.57 (step @p69 :rule instantiate :premises (@p8) :args ((@list @t10 @t22 @t22))) % 0.37/0.57 (step @p70 :rule cong :premises (@p14 @p29) :args (@t9)) % 0.37/0.57 (step @p71 :rule trans :premises (@p32 @p70 @p69 @p68 @p55)) % 0.37/0.57 (step @p72 :rule cong :premises (@p71 @p53) :args (@t25)) % 0.37/0.57 (step @p73 :rule trans :premises (@p72 @p9)) % 0.37/0.57 (step @p74 :rule false_elim :premises (@p73)) % 0.37/0.57 (assume-push @p81 @t26) % 0.37/0.57 (step @p76 :rule instantiate :premises (@p8) :args ((@list @t14 tptp.b1 @t16))) % 0.37/0.57 (step-pop @p82 :rule scope :premises (@p76)) % 0.37/0.57 (step @p77 :rule process_scope :premises (@p82) :args (@t25)) % 0.37/0.57 (step @p79 :rule implies_elim :premises (@p77)) % 0.37/0.57 (step @p80 false :rule chain_m_resolution :premises (@p79 @p74 @p8) :args (false (@list true false) (@list @t25 @t26))) % 0.37/0.57 ) % 0.37/0.58 % SZS output end Proof % 0.37/0.58 % cvc5 exiting %------------------------------------------------------------------------------