%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GRP528-1 : TPTP v9.2.1. Bugfixed v2.7.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n003.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 08:20:52 AM UTC 2026 % Result : Unsatisfiable 0.46s 0.67s % Output : Proof 0.46s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GRP528-1 : TPTP v9.2.1. Bugfixed v2.7.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n003.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % 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 01:15:29 EDT 2026 % 0.16/0.34 % CPUTime : % 0.30/0.49 %----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... % 0.46/0.67 % SZS status Unsatisfiable % 0.46/0.67 % SZS output start Proof % 0.46/0.67 ( % 0.46/0.67 (declare-sort $$unsorted 0) % 0.46/0.67 (declare-const tptp.b $$unsorted) % 0.46/0.67 (declare-const tptp.a $$unsorted) % 0.46/0.67 (declare-const tptp.inverse (-> $$unsorted $$unsorted)) % 0.46/0.67 (declare-const tptp.multiply (-> $$unsorted $$unsorted $$unsorted)) % 0.46/0.67 (declare-const tptp.divide (-> $$unsorted $$unsorted $$unsorted)) % 0.46/0.67 (define @t1 () (@var "C" $$unsorted)) % 0.46/0.67 (define @t2 () (@var "B" $$unsorted)) % 0.46/0.67 (define @t3 () (@var "A" $$unsorted)) % 0.46/0.67 (define @t4 () (tptp.divide @t3 (tptp.divide (tptp.divide @t3 @t2) (tptp.divide @t1 @t2)))) % 0.46/0.67 (define @t5 () (@list @t3 @t2 @t1)) % 0.46/0.67 (define @t6 () (forall @t5 (= @t4 @t1))) % 0.46/0.67 (define @t7 () (forall (@list @t3 @t2) (= (tptp.inverse @t3) (tptp.divide (tptp.divide @t2 @t2) @t3)))) % 0.46/0.67 (define @t8 () (tptp.divide tptp.b tptp.b)) % 0.46/0.67 (define @t9 () (tptp.divide @t8 @t8)) % 0.46/0.67 (define @t10 () (tptp.divide tptp.a tptp.a)) % 0.46/0.67 (define @t11 () (tptp.divide tptp.a @t10)) % 0.46/0.67 (define @t12 () (tptp.divide @t10 @t10)) % 0.46/0.67 (define @t13 () (tptp.divide @t12 @t11)) % 0.46/0.67 (define @t14 () (tptp.divide @t13 @t9)) % 0.46/0.67 (define @t15 () (tptp.divide (tptp.divide tptp.b @t9) @t14)) % 0.46/0.67 (define @t16 () (tptp.divide @t15 tptp.a)) % 0.46/0.67 (define @t17 () (tptp.divide @t10 @t16)) % 0.46/0.67 (define @t18 () (tptp.divide tptp.a @t17)) % 0.46/0.67 (define @t19 () (= @t15 @t18)) % 0.46/0.67 (define @t20 () (= @t18 @t15)) % 0.46/0.67 (define @t21 () (tptp.divide @t12 @t10)) % 0.46/0.67 (define @t22 () (tptp.divide @t21 @t11)) % 0.46/0.67 (define @t23 () (tptp.divide @t12 @t22)) % 0.46/0.67 (define @t24 () (tptp.inverse tptp.a)) % 0.46/0.67 (define @t25 () (tptp.divide @t10 tptp.a)) % 0.46/0.67 (define @t26 () (= @t24 @t25)) % 0.46/0.67 (define @t27 () (tptp.divide @t10 (tptp.divide @t8 tptp.a))) % 0.46/0.67 (define @t28 () (forall @t5 (= @t1 @t4))) % 0.46/0.67 (assume @p1 @t6) % 0.46/0.67 (assume @p2 (forall @t5 (= (tptp.multiply @t3 @t2) (tptp.divide @t3 (tptp.divide (tptp.divide @t1 @t1) @t2))))) % 0.46/0.67 (assume @p3 @t7) % 0.46/0.67 (assume @p4 (not (= (tptp.multiply tptp.a tptp.b) (tptp.multiply tptp.b tptp.a)))) % 0.46/0.67 (step @p5 :rule eq-symm :args (@t4 @t1)) % 0.46/0.67 (step @p6 :rule cong :premises (@p5) :args (@t6)) % 0.46/0.67 (step @p7 :rule eq_resolve :premises (@p1 @p6)) % 0.46/0.67 (step @p8 :rule bool-eq-false :args (@t19)) % 0.46/0.67 (step @p9 :rule symm :premises (@p8)) % 0.46/0.67 (step @p10 :rule eq-symm :args (@t18 @t15)) % 0.46/0.67 (step @p11 :rule cong :premises (@p10) :args ((not @t20))) % 0.46/0.67 (step @p12 :rule bool-eq-false :args (@t20)) % 0.46/0.67 (step @p13 :rule trans :premises (@p12 @p11)) % 0.46/0.67 (step @p14 :rule trans :premises (@p13 @p9)) % 0.46/0.67 (step @p15 :rule false_intro :premises (@p4)) % 0.46/0.67 (step @p16 :rule instantiate :premises (@p2) :args ((@list tptp.b tptp.a tptp.a))) % 0.46/0.67 (step @p17 :rule symm :premises (@p16)) % 0.46/0.67 (step @p18 :rule instantiate :premises (@p3) :args ((@list tptp.a tptp.a))) % 0.46/0.67 (step @p19 :rule instantiate :premises (@p3) :args ((@list tptp.a @t10))) % 0.46/0.67 (step @p20 :rule symm :premises (@p19)) % 0.46/0.67 (step @p21 :rule instantiate :premises (@p7) :args ((@list tptp.a @t12 tptp.a))) % 0.46/0.67 (step @p22 :rule symm :premises (@p21)) % 0.46/0.67 (step @p23 :rule instantiate :premises (@p7) :args ((@list tptp.a tptp.a tptp.a))) % 0.46/0.67 (step @p24 :rule cong :premises (@p23 @p23) :args (@t10)) % 0.46/0.67 (step @p25 :rule refl :args (tptp.a)) % 0.46/0.67 (step @p26 :rule cong :premises (@p25 @p24) :args (@t11)) % 0.46/0.67 (step @p27 :rule trans :premises (@p26 @p22)) % 0.46/0.67 (step @p28 :rule refl :args (@t12)) % 0.46/0.67 (step @p29 :rule cong :premises (@p28 @p27) :args (@t13)) % 0.46/0.67 (step @p30 :rule instantiate :premises (@p7) :args ((@list @t13 @t13 @t13))) % 0.46/0.67 (step @p31 :rule symm :premises (@p30)) % 0.46/0.67 (step @p32 :rule instantiate :premises (@p7) :args ((@list tptp.a tptp.a (tptp.divide @t13 @t13)))) % 0.46/0.67 (step @p33 :rule symm :premises (@p32)) % 0.46/0.67 (step @p34 :rule instantiate :premises (@p3) :args ((@list tptp.a @t13))) % 0.46/0.67 (step @p35 :rule refl :args (@t11)) % 0.46/0.67 (step @p36 :rule instantiate :premises (@p3) :args ((@list @t10 tptp.a))) % 0.46/0.67 (step @p37 :rule instantiate :premises (@p3) :args ((@list @t10 @t10))) % 0.46/0.67 (step @p38 :rule symm :premises (@p37)) % 0.46/0.67 (step @p39 :rule trans :premises (@p38 @p36)) % 0.46/0.67 (step @p40 :rule cong :premises (@p39 @p35) :args (@t22)) % 0.46/0.67 (step @p41 :rule trans :premises (@p40 @p29 @p20 @p34)) % 0.46/0.67 (step @p42 :rule instantiate :premises (@p7) :args ((@list @t10 @t13 @t10))) % 0.46/0.67 (step @p43 :rule symm :premises (@p42)) % 0.46/0.67 (step @p44 :rule instantiate :premises (@p7) :args ((@list @t10 @t10 tptp.a))) % 0.46/0.67 (step @p45 :rule cong :premises (@p44 @p44) :args (@t10)) % 0.46/0.67 (step @p46 :rule refl :args (@t10)) % 0.46/0.67 (step @p47 :rule cong :premises (@p46 @p45) :args (@t12)) % 0.46/0.67 (step @p48 :rule trans :premises (@p47 @p43)) % 0.46/0.67 (step @p49 :rule cong :premises (@p48 @p41) :args (@t23)) % 0.46/0.67 (step @p50 :rule symm :premises (@p40)) % 0.46/0.67 (step @p51 :rule symm :premises (@p29)) % 0.46/0.67 (step @p52 :rule eq-symm :args (@t24 @t25)) % 0.46/0.67 (step @p53 :rule refl :args (@t7)) % 0.46/0.67 (step @p54 :rule cong :premises (@p53 @p52) :args ((=> @t7 @t26))) % 0.46/0.67 (assume-push @p125 @t7) % 0.46/0.67 (step-pop @p126 :rule scope :premises (@p18)) % 0.46/0.67 (step @p56 :rule process_scope :premises (@p126) :args (@t26)) % 0.46/0.67 (step @p58 :rule eq_resolve :premises (@p56 @p54)) % 0.46/0.67 (step @p59 :rule implies_elim :premises (@p58)) % 0.46/0.67 (step @p60 :rule chain_m_resolution :premises (@p59 @p3) :args ((= @t25 @t24) (@list false) (@list @t7))) % 0.46/0.67 (step @p61 :rule trans :premises (@p60 @p19 @p51 @p50)) % 0.46/0.67 (step @p62 :rule symm :premises (@p48)) % 0.46/0.67 (step @p63 :rule cong :premises (@p62 @p61) :args ((tptp.divide @t10 @t25))) % 0.46/0.67 (step @p64 :rule trans :premises (@p29 @p20 @p18)) % 0.46/0.67 (step @p65 :rule cong :premises (@p46 @p64) :args ((tptp.divide @t10 @t13))) % 0.46/0.67 (step @p66 :rule trans :premises (@p44 @p65 @p63 @p49)) % 0.46/0.67 (step @p67 :rule cong :premises (@p25 @p66) :args (@t10)) % 0.46/0.67 (step @p68 :rule trans :premises (@p67 @p33)) % 0.46/0.67 (step @p69 :rule trans :premises (@p48 @p68)) % 0.46/0.67 (step @p70 :rule cong :premises (@p69 @p68) :args (@t21)) % 0.46/0.67 (step @p71 :rule symm :premises (@p44)) % 0.46/0.67 (step @p72 :rule symm :premises (@p65)) % 0.46/0.67 (step @p73 :rule symm :premises (@p63)) % 0.46/0.67 (step @p74 :rule instantiate :premises (@p3) :args ((@list tptp.a tptp.b))) % 0.46/0.67 (step @p75 :rule symm :premises (@p74)) % 0.46/0.67 (step @p76 :rule trans :premises (@p75 @p19 @p51 @p50)) % 0.46/0.67 (step @p77 :rule cong :premises (@p62 @p76) :args (@t27)) % 0.46/0.67 (step @p78 :rule trans :premises (@p77 @p73 @p72 @p71)) % 0.46/0.67 (step @p79 :rule cong :premises (@p25 @p78) :args ((tptp.divide tptp.a @t27))) % 0.46/0.67 (step @p80 :rule instantiate :premises (@p7) :args ((@list tptp.a tptp.a @t8))) % 0.46/0.67 (step @p81 :rule trans :premises (@p80 @p79)) % 0.46/0.67 (step @p82 :rule trans :premises (@p81 @p62)) % 0.46/0.67 (step @p83 :rule cong :premises (@p82 @p81) :args (@t9)) % 0.46/0.67 (step @p84 :rule trans :premises (@p83 @p70)) % 0.46/0.67 (step @p85 :rule refl :args (@t13)) % 0.46/0.67 (step @p86 :rule cong :premises (@p85 @p84) :args (@t14)) % 0.46/0.67 (step @p87 :rule trans :premises (@p86 @p31 @p29 @p20 @p18)) % 0.46/0.67 (step @p88 :rule instantiate :premises (@p7) :args ((@list tptp.b tptp.b tptp.b))) % 0.46/0.67 (step @p89 :rule symm :premises (@p88)) % 0.46/0.67 (step @p90 :rule cong :premises (@p89 @p87) :args (@t15)) % 0.46/0.67 (step @p91 :rule trans :premises (@p90 @p17)) % 0.46/0.67 (step @p92 :rule instantiate :premises (@p2) :args ((@list tptp.a tptp.b tptp.a))) % 0.46/0.67 (step @p93 :rule symm :premises (@p92)) % 0.46/0.67 (step @p94 :rule instantiate :premises (@p7) :args ((@list @t15 @t15 tptp.b))) % 0.46/0.67 (step @p95 :rule symm :premises (@p94)) % 0.46/0.67 (step @p96 :rule instantiate :premises (@p7) :args ((@list tptp.b @t9 @t13))) % 0.46/0.67 (step @p97 :rule trans :premises (@p40 @p96)) % 0.46/0.67 (step @p98 :rule instantiate :premises (@p7) :args ((@list tptp.a tptp.a (tptp.divide @t15 @t15)))) % 0.46/0.67 (step @p99 :rule symm :premises (@p98)) % 0.46/0.67 (step @p100 :rule instantiate :premises (@p3) :args ((@list tptp.a @t15))) % 0.46/0.67 (step @p101 :rule trans :premises (@p40 @p29 @p20 @p100)) % 0.46/0.67 (step @p102 :rule cong :premises (@p48 @p101) :args (@t23)) % 0.46/0.67 (step @p103 :rule trans :premises (@p44 @p65 @p63 @p102)) % 0.46/0.67 (step @p104 :rule cong :premises (@p25 @p103) :args (@t10)) % 0.46/0.67 (step @p105 :rule trans :premises (@p104 @p99)) % 0.46/0.67 (step @p106 :rule trans :premises (@p48 @p105)) % 0.46/0.67 (step @p107 :rule cong :premises (@p106 @p97) :args (@t23)) % 0.46/0.67 (step @p108 :rule trans :premises (@p44 @p65 @p63 @p107)) % 0.46/0.67 (step @p109 :rule refl :args (@t15)) % 0.46/0.67 (step @p110 :rule cong :premises (@p109 @p108) :args (@t16)) % 0.46/0.67 (step @p111 :rule trans :premises (@p110 @p95)) % 0.46/0.67 (step @p112 :rule cong :premises (@p46 @p111) :args (@t17)) % 0.46/0.67 (step @p113 :rule cong :premises (@p25 @p112) :args (@t18)) % 0.46/0.67 (step @p114 :rule trans :premises (@p113 @p93)) % 0.46/0.67 (step @p115 :rule cong :premises (@p114 @p91) :args (@t20)) % 0.46/0.67 (step @p116 :rule trans :premises (@p115 @p15)) % 0.46/0.67 (step @p117 :rule eq_resolve :premises (@p116 @p14)) % 0.46/0.67 (step @p118 :rule false_elim :premises (@p117)) % 0.46/0.67 (assume-push @p127 @t28) % 0.46/0.67 (step @p120 :rule instantiate :premises (@p7) :args ((@list tptp.a tptp.a @t15))) % 0.46/0.67 (step-pop @p128 :rule scope :premises (@p120)) % 0.46/0.67 (step @p121 :rule process_scope :premises (@p128) :args (@t19)) % 0.46/0.67 (step @p123 :rule implies_elim :premises (@p121)) % 0.46/0.67 (step @p124 false :rule chain_m_resolution :premises (@p123 @p118 @p7) :args (false (@list true false) (@list @t19 @t28))) % 0.46/0.67 ) % 0.46/0.67 % SZS output end Proof % 0.46/0.68 % cvc5 exiting %------------------------------------------------------------------------------