%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GRP565-1 : 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 : 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 08:20:56 AM UTC 2026 % Result : Unsatisfiable 0.38s 0.56s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GRP565-1 : TPTP v9.2.1. Released v2.6.0. % 0.13/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n026.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 01:17:25 EDT 2026 % 0.17/0.34 % CPUTime : % 0.30/0.48 %----Proving TF0_NAR, FOF, or CNF % 0.30/0.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.38/0.56 % SZS status Unsatisfiable % 0.38/0.56 % SZS output start Proof % 0.38/0.56 ( % 0.38/0.56 (declare-sort $$unsorted 0) % 0.38/0.56 (declare-const tptp.inverse (-> $$unsorted $$unsorted)) % 0.38/0.56 (declare-const tptp.multiply (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.56 (declare-const tptp.double_divide (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.56 (declare-const tptp.a1 $$unsorted) % 0.38/0.56 (declare-const tptp.identity $$unsorted) % 0.38/0.56 (define @t1 () (@var "B" $$unsorted)) % 0.38/0.56 (define @t2 () (tptp.double_divide tptp.identity tptp.identity)) % 0.38/0.56 (define @t3 () (@var "C" $$unsorted)) % 0.38/0.56 (define @t4 () (@var "A" $$unsorted)) % 0.38/0.56 (define @t5 () (tptp.double_divide (tptp.double_divide @t4 (tptp.double_divide (tptp.double_divide @t1 (tptp.double_divide @t4 @t3)) (tptp.double_divide tptp.identity @t3))) @t2)) % 0.38/0.56 (define @t6 () (@list @t4 @t1 @t3)) % 0.38/0.56 (define @t7 () (forall @t6 (= @t5 @t1))) % 0.38/0.56 (define @t8 () (tptp.inverse @t4)) % 0.38/0.56 (define @t9 () (@list @t4)) % 0.38/0.56 (define @t10 () (tptp.inverse tptp.a1)) % 0.38/0.56 (define @t11 () (tptp.double_divide tptp.identity @t2)) % 0.38/0.56 (define @t12 () (tptp.double_divide tptp.a1 @t10)) % 0.38/0.56 (define @t13 () (tptp.double_divide @t12 @t12)) % 0.38/0.56 (define @t14 () (tptp.double_divide tptp.a1 (tptp.double_divide @t13 (tptp.double_divide tptp.identity @t10)))) % 0.38/0.56 (define @t15 () (tptp.double_divide @t12 tptp.identity)) % 0.38/0.56 (define @t16 () (tptp.double_divide @t14 (tptp.double_divide (tptp.double_divide @t15 (tptp.double_divide @t14 @t2)) @t11))) % 0.38/0.56 (define @t17 () (tptp.double_divide tptp.a1 (tptp.double_divide tptp.a1 tptp.identity))) % 0.38/0.56 (define @t18 () (tptp.double_divide @t12 (tptp.double_divide (tptp.double_divide @t17 @t15) @t2))) % 0.38/0.56 (define @t19 () (tptp.double_divide @t18 (tptp.double_divide @t16 @t2))) % 0.38/0.56 (define @t20 () (tptp.double_divide @t19 @t11)) % 0.38/0.56 (define @t21 () (tptp.double_divide @t16 @t20)) % 0.38/0.56 (define @t22 () (tptp.double_divide @t21 @t2)) % 0.38/0.56 (define @t23 () (= @t18 @t22)) % 0.38/0.56 (define @t24 () (= @t22 @t18)) % 0.38/0.56 (define @t25 () (@list tptp.a1)) % 0.38/0.56 (define @t26 () (tptp.double_divide @t17 @t2)) % 0.38/0.56 (define @t27 () (@list @t12)) % 0.38/0.56 (define @t28 () (tptp.double_divide @t14 @t15)) % 0.38/0.56 (define @t29 () (tptp.double_divide @t28 @t2)) % 0.38/0.56 (define @t30 () (tptp.double_divide @t12 @t29)) % 0.38/0.56 (define @t31 () (forall @t6 (= @t1 @t5))) % 0.38/0.56 (assume @p1 @t7) % 0.38/0.56 (assume @p2 (forall (@list @t4 @t1) (= (tptp.multiply @t4 @t1) (tptp.double_divide (tptp.double_divide @t1 @t4) tptp.identity)))) % 0.38/0.56 (assume @p3 (forall @t9 (= @t8 (tptp.double_divide @t4 tptp.identity)))) % 0.38/0.56 (assume @p4 (forall @t9 (= tptp.identity (tptp.double_divide @t4 @t8)))) % 0.38/0.56 (assume @p5 (not (= (tptp.multiply @t10 tptp.a1) tptp.identity))) % 0.38/0.56 (step @p6 :rule eq-symm :args (@t5 @t1)) % 0.38/0.56 (step @p7 :rule cong :premises (@p6) :args (@t7)) % 0.38/0.56 (step @p8 :rule eq_resolve :premises (@p1 @p7)) % 0.38/0.56 (step @p9 :rule bool-eq-false :args (@t23)) % 0.38/0.56 (step @p10 :rule symm :premises (@p9)) % 0.38/0.56 (step @p11 :rule eq-symm :args (@t22 @t18)) % 0.38/0.56 (step @p12 :rule cong :premises (@p11) :args ((not @t24))) % 0.38/0.56 (step @p13 :rule bool-eq-false :args (@t24)) % 0.38/0.56 (step @p14 :rule trans :premises (@p13 @p12)) % 0.38/0.56 (step @p15 :rule trans :premises (@p14 @p10)) % 0.38/0.56 (step @p16 :rule symm :premises (@p5)) % 0.38/0.56 (step @p17 :rule false_intro :premises (@p16)) % 0.38/0.56 (step @p18 :rule instantiate :premises (@p2) :args ((@list @t10 tptp.a1))) % 0.38/0.56 (step @p19 :rule symm :premises (@p18)) % 0.38/0.56 (step @p20 :rule refl :args (tptp.identity)) % 0.38/0.56 (step @p21 :rule instantiate :premises (@p4) :args (@t25)) % 0.38/0.56 (step @p22 :rule cong :premises (@p21 @p20) :args (@t2)) % 0.38/0.56 (step @p23 :rule refl :args (@t2)) % 0.38/0.56 (step @p24 :rule refl :args (@t17)) % 0.38/0.56 (step @p25 :rule cong :premises (@p24 @p22) :args (@t26)) % 0.38/0.56 (step @p26 :rule symm :premises (@p22)) % 0.38/0.56 (step @p27 :rule instantiate :premises (@p3) :args (@t27)) % 0.38/0.56 (step @p28 :rule trans :premises (@p27 @p26)) % 0.38/0.56 (step @p29 :rule instantiate :premises (@p3) :args (@t25)) % 0.38/0.56 (step @p30 :rule symm :premises (@p29)) % 0.38/0.56 (step @p31 :rule refl :args (tptp.a1)) % 0.38/0.56 (step @p32 :rule cong :premises (@p31 @p30) :args (@t17)) % 0.38/0.56 (step @p33 :rule symm :premises (@p32)) % 0.38/0.56 (step @p34 :rule cong :premises (@p33 @p28) :args ((tptp.double_divide @t12 (tptp.inverse @t12)))) % 0.38/0.56 (step @p35 :rule instantiate :premises (@p4) :args (@t27)) % 0.38/0.56 (step @p36 :rule symm :premises (@p21)) % 0.38/0.56 (step @p37 :rule trans :premises (@p36 @p35 @p34 @p25)) % 0.38/0.56 (step @p38 :rule trans :premises (@p32 @p37)) % 0.38/0.56 (step @p39 :rule cong :premises (@p38 @p23) :args (@t26)) % 0.38/0.56 (step @p40 :rule trans :premises (@p35 @p34 @p39)) % 0.38/0.56 (step @p41 :rule cong :premises (@p21 @p40) :args (@t2)) % 0.38/0.56 (step @p42 :rule symm :premises (@p41)) % 0.38/0.56 (step @p43 :rule trans :premises (@p42 @p22 @p19)) % 0.38/0.56 (step @p44 :rule instantiate :premises (@p8) :args ((@list @t12 @t17 tptp.identity))) % 0.38/0.56 (step @p45 :rule symm :premises (@p44)) % 0.38/0.56 (step @p46 :rule cong :premises (@p36 @p36) :args (@t13)) % 0.38/0.56 (step @p47 :rule trans :premises (@p46 @p41)) % 0.38/0.56 (step @p48 :rule symm :premises (@p46)) % 0.38/0.56 (step @p49 :rule symm :premises (@p35)) % 0.38/0.56 (step @p50 :rule symm :premises (@p34)) % 0.38/0.56 (step @p51 :rule instantiate :premises (@p8) :args ((@list tptp.a1 @t12 @t10))) % 0.38/0.56 (step @p52 :rule symm :premises (@p51)) % 0.38/0.56 (step @p53 :rule refl :args (@t14)) % 0.38/0.56 (step @p54 :rule cong :premises (@p53 @p26) :args (@t28)) % 0.38/0.56 (step @p55 :rule trans :premises (@p54 @p52)) % 0.38/0.56 (step @p56 :rule trans :premises (@p55 @p33)) % 0.38/0.56 (step @p57 :rule cong :premises (@p56 @p23) :args (@t29)) % 0.38/0.56 (step @p58 :rule trans :premises (@p57 @p50 @p49)) % 0.38/0.56 (step @p59 :rule cong :premises (@p36 @p58) :args (@t30)) % 0.38/0.56 (step @p60 :rule trans :premises (@p59 @p48)) % 0.38/0.56 (step @p61 :rule trans :premises (@p60 @p47)) % 0.38/0.56 (step @p62 :rule cong :premises (@p61 @p23) :args ((tptp.double_divide @t30 @t2))) % 0.38/0.56 (step @p63 :rule symm :premises (@p60)) % 0.38/0.56 (step @p64 :rule instantiate :premises (@p8) :args ((@list @t14 @t15 @t2))) % 0.38/0.56 (step @p65 :rule symm :premises (@p64)) % 0.38/0.56 (step @p66 :rule trans :premises (@p21 @p33)) % 0.38/0.56 (step @p67 :rule cong :premises (@p66 @p23) :args (@t11)) % 0.38/0.56 (step @p68 :rule trans :premises (@p67 @p50 @p49)) % 0.38/0.56 (step @p69 :rule trans :premises (@p65 @p26)) % 0.38/0.56 (step @p70 :rule symm :premises (@p61)) % 0.38/0.56 (step @p71 :rule cong :premises (@p70 @p69) :args (@t19)) % 0.38/0.56 (step @p72 :rule trans :premises (@p71 @p62 @p45 @p32)) % 0.38/0.56 (step @p73 :rule trans :premises (@p72 @p36)) % 0.38/0.56 (step @p74 :rule cong :premises (@p73 @p68) :args (@t20)) % 0.38/0.56 (step @p75 :rule refl :args (@t16)) % 0.38/0.56 (step @p76 :rule cong :premises (@p75 @p74) :args (@t21)) % 0.38/0.56 (step @p77 :rule trans :premises (@p76 @p65 @p26 @p48)) % 0.38/0.56 (step @p78 :rule trans :premises (@p77 @p63)) % 0.38/0.56 (step @p79 :rule cong :premises (@p78 @p23) :args (@t22)) % 0.38/0.56 (step @p80 :rule trans :premises (@p79 @p62 @p45 @p32 @p36)) % 0.38/0.56 (step @p81 :rule cong :premises (@p80 @p43) :args (@t24)) % 0.38/0.56 (step @p82 :rule trans :premises (@p81 @p17)) % 0.38/0.56 (step @p83 :rule eq_resolve :premises (@p82 @p15)) % 0.38/0.56 (step @p84 :rule false_elim :premises (@p83)) % 0.38/0.56 (assume-push @p91 @t31) % 0.38/0.56 (step @p86 :rule instantiate :premises (@p8) :args ((@list @t16 @t18 @t2))) % 0.38/0.56 (step-pop @p92 :rule scope :premises (@p86)) % 0.38/0.56 (step @p87 :rule process_scope :premises (@p92) :args (@t23)) % 0.38/0.56 (step @p89 :rule implies_elim :premises (@p87)) % 0.38/0.56 (step @p90 false :rule chain_m_resolution :premises (@p89 @p84 @p8) :args (false (@list true false) (@list @t23 @t31))) % 0.38/0.56 ) % 0.38/0.56 % SZS output end Proof % 0.38/0.57 % cvc5 exiting %------------------------------------------------------------------------------