%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GRP536-1 : 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 : n024.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 20.49s 20.75s % Output : Proof 20.49s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.06 % Problem : GRP536-1 : TPTP v9.2.1. Bugfixed v2.7.0. % 0.00/0.07 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.07/0.25 % Computer : n024.cluster.edu % 0.07/0.25 % Model : x86_64 x86_64 % 0.07/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.07/0.25 % Memory : 8042.1875MB % 0.07/0.25 % OS : Linux 3.10.0-693.el7.x86_64 % 0.07/0.25 % CPULimit : 300 % 0.07/0.25 % WCLimit : 300 % 0.07/0.25 % DateTime : Mon Jun 1 20:14:30 EDT 2026 % 0.07/0.25 % CPUTime : % 0.15/0.33 %----Proving TF0_NAR, FOF, or CNF % 0.15/0.34 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 15.20/15.41 --- Run --no-e-matching --full-saturate-quant at 6... % 20.49/20.75 % SZS status Unsatisfiable % 20.49/20.75 % SZS output start Proof % 20.49/20.75 ( % 20.49/20.75 (declare-sort $$unsorted 0) % 20.49/20.75 (declare-const tptp.identity $$unsorted) % 20.49/20.75 (declare-const tptp.b $$unsorted) % 20.49/20.75 (declare-const tptp.inverse (-> $$unsorted $$unsorted)) % 20.49/20.75 (declare-const tptp.multiply (-> $$unsorted $$unsorted $$unsorted)) % 20.49/20.75 (declare-const tptp.a $$unsorted) % 20.49/20.75 (declare-const tptp.divide (-> $$unsorted $$unsorted $$unsorted)) % 20.49/20.75 (define @t1 () (@var "C" $$unsorted)) % 20.49/20.75 (define @t2 () (@var "B" $$unsorted)) % 20.49/20.75 (define @t3 () (@var "A" $$unsorted)) % 20.49/20.75 (define @t4 () (tptp.divide (tptp.divide @t3 (tptp.divide (tptp.divide @t3 @t2) @t1)) @t2)) % 20.49/20.75 (define @t5 () (@list @t3 @t2 @t1)) % 20.49/20.75 (define @t6 () (forall @t5 (= @t4 @t1))) % 20.49/20.75 (define @t7 () (tptp.multiply tptp.b tptp.a)) % 20.49/20.75 (define @t8 () (tptp.multiply tptp.a tptp.b)) % 20.49/20.75 (define @t9 () (tptp.divide tptp.a tptp.a)) % 20.49/20.75 (define @t10 () (tptp.divide @t9 @t9)) % 20.49/20.75 (define @t11 () (tptp.divide @t10 @t9)) % 20.49/20.75 (define @t12 () (tptp.divide @t10 @t7)) % 20.49/20.75 (define @t13 () (tptp.divide (tptp.divide @t12 @t12) @t7)) % 20.49/20.75 (define @t14 () (tptp.divide @t12 @t13)) % 20.49/20.75 (define @t15 () (tptp.divide @t9 tptp.a)) % 20.49/20.75 (define @t16 () (tptp.divide @t10 @t8)) % 20.49/20.75 (define @t17 () (tptp.divide (tptp.divide @t16 @t16) @t8)) % 20.49/20.75 (define @t18 () (tptp.divide @t16 @t17)) % 20.49/20.75 (define @t19 () (tptp.divide @t10 tptp.a)) % 20.49/20.75 (define @t20 () (tptp.divide @t9 @t19)) % 20.49/20.75 (define @t21 () (tptp.divide @t10 @t15)) % 20.49/20.75 (define @t22 () (tptp.divide tptp.a @t19)) % 20.49/20.75 (define @t23 () (tptp.divide @t22 tptp.a)) % 20.49/20.75 (define @t24 () (tptp.divide tptp.a @t23)) % 20.49/20.75 (define @t25 () (tptp.divide @t10 tptp.b)) % 20.49/20.75 (define @t26 () (tptp.divide @t25 @t25)) % 20.49/20.75 (define @t27 () (tptp.divide @t20 tptp.a)) % 20.49/20.75 (define @t28 () (tptp.divide @t27 tptp.b)) % 20.49/20.75 (define @t29 () (tptp.divide @t20 @t28)) % 20.49/20.75 (define @t30 () (tptp.divide @t8 tptp.a)) % 20.49/20.75 (define @t31 () (tptp.divide tptp.b @t9)) % 20.49/20.75 (define @t32 () (tptp.divide @t31 @t8)) % 20.49/20.75 (define @t33 () (tptp.divide tptp.b @t32)) % 20.49/20.75 (define @t34 () (tptp.divide @t33 @t9)) % 20.49/20.75 (define @t35 () (= @t8 @t34)) % 20.49/20.75 (define @t36 () (forall @t5 (= @t1 @t4))) % 20.49/20.75 (assume @p1 @t6) % 20.49/20.75 (assume @p2 (forall @t5 (= (tptp.multiply @t3 @t2) (tptp.divide @t3 (tptp.divide (tptp.divide @t1 @t1) @t2))))) % 20.49/20.75 (assume @p3 (forall (@list @t3 @t2) (= (tptp.inverse @t3) (tptp.divide (tptp.divide @t2 @t2) @t3)))) % 20.49/20.75 (assume @p4 (forall (@list @t3) (= tptp.identity (tptp.divide @t3 @t3)))) % 20.49/20.75 (assume @p5 (not (= @t8 @t7))) % 20.49/20.75 (step @p6 :rule eq-symm :args (@t4 @t1)) % 20.49/20.75 (step @p7 :rule cong :premises (@p6) :args (@t6)) % 20.49/20.75 (step @p8 :rule eq_resolve :premises (@p1 @p7)) % 20.49/20.75 (step @p9 :rule false_intro :premises (@p5)) % 20.49/20.75 (step @p10 :rule instantiate :premises (@p8) :args ((@list @t9 @t9 @t7))) % 20.49/20.75 (step @p11 :rule symm :premises (@p10)) % 20.49/20.75 (step @p12 :rule instantiate :premises (@p4) :args ((@list tptp.a))) % 20.49/20.75 (step @p13 :rule instantiate :premises (@p4) :args ((@list @t9))) % 20.49/20.75 (step @p14 :rule symm :premises (@p13)) % 20.49/20.75 (step @p15 :rule refl :args (@t9)) % 20.49/20.75 (step @p16 :rule trans :premises (@p14 @p12)) % 20.49/20.75 (step @p17 :rule cong :premises (@p16 @p15) :args (@t11)) % 20.49/20.75 (step @p18 :rule trans :premises (@p17 @p14 @p12)) % 20.49/20.75 (step @p19 :rule refl :args (@t12)) % 20.49/20.75 (step @p20 :rule instantiate :premises (@p4) :args ((@list @t12))) % 20.49/20.75 (step @p21 :rule symm :premises (@p20)) % 20.49/20.75 (step @p22 :rule refl :args (@t7)) % 20.49/20.75 (step @p23 :rule symm :premises (@p16)) % 20.49/20.75 (step @p24 :rule trans :premises (@p21 @p12)) % 20.49/20.75 (step @p25 :rule trans :premises (@p24 @p23)) % 20.49/20.75 (step @p26 :rule cong :premises (@p25 @p22) :args (@t13)) % 20.49/20.75 (step @p27 :rule cong :premises (@p19 @p26) :args (@t14)) % 20.49/20.75 (step @p28 :rule trans :premises (@p27 @p21 @p12)) % 20.49/20.75 (step @p29 :rule cong :premises (@p28 @p19) :args ((tptp.divide @t14 @t12))) % 20.49/20.75 (step @p30 :rule instantiate :premises (@p8) :args ((@list @t12 @t12 @t7))) % 20.49/20.75 (step @p31 :rule trans :premises (@p30 @p29)) % 20.49/20.75 (step @p32 :rule cong :premises (@p31 @p18) :args ((tptp.divide @t7 @t11))) % 20.49/20.75 (step @p33 :rule symm :premises (@p18)) % 20.49/20.75 (step @p34 :rule instantiate :premises (@p2) :args ((@list tptp.b tptp.a @t9))) % 20.49/20.75 (step @p35 :rule symm :premises (@p34)) % 20.49/20.75 (step @p36 :rule refl :args (tptp.a)) % 20.49/20.75 (step @p37 :rule cong :premises (@p23 @p36) :args (@t15)) % 20.49/20.75 (step @p38 :rule instantiate :premises (@p8) :args ((@list (tptp.divide @t9 @t16) @t8 @t15))) % 20.49/20.75 (step @p39 :rule symm :premises (@p38)) % 20.49/20.75 (step @p40 :rule refl :args (@t8)) % 20.49/20.75 (step @p41 :rule symm :premises (@p37)) % 20.49/20.75 (step @p42 :rule refl :args (@t16)) % 20.49/20.75 (step @p43 :rule instantiate :premises (@p4) :args ((@list @t16))) % 20.49/20.75 (step @p44 :rule symm :premises (@p43)) % 20.49/20.75 (step @p45 :rule trans :premises (@p44 @p12)) % 20.49/20.75 (step @p46 :rule trans :premises (@p45 @p23)) % 20.49/20.75 (step @p47 :rule cong :premises (@p46 @p40) :args (@t17)) % 20.49/20.75 (step @p48 :rule cong :premises (@p42 @p47) :args (@t18)) % 20.49/20.75 (step @p49 :rule trans :premises (@p48 @p44 @p12)) % 20.49/20.75 (step @p50 :rule cong :premises (@p49 @p42) :args ((tptp.divide @t18 @t16))) % 20.49/20.75 (step @p51 :rule instantiate :premises (@p8) :args ((@list @t16 @t16 @t8))) % 20.49/20.75 (step @p52 :rule trans :premises (@p51 @p50)) % 20.49/20.75 (step @p53 :rule cong :premises (@p52 @p40) :args ((tptp.divide @t8 @t8))) % 20.49/20.75 (step @p54 :rule instantiate :premises (@p4) :args ((@list @t8))) % 20.49/20.75 (step @p55 :rule symm :premises (@p12)) % 20.49/20.75 (step @p56 :rule trans :premises (@p55 @p54 @p53)) % 20.49/20.75 (step @p57 :rule cong :premises (@p56 @p41) :args (@t20)) % 20.49/20.75 (step @p58 :rule cong :premises (@p16 @p37) :args (@t21)) % 20.49/20.75 (step @p59 :rule trans :premises (@p58 @p57)) % 20.49/20.75 (step @p60 :rule cong :premises (@p52 @p59) :args ((tptp.divide @t8 @t21))) % 20.49/20.75 (step @p61 :rule symm :premises (@p58)) % 20.49/20.75 (step @p62 :rule refl :args (@t19)) % 20.49/20.75 (step @p63 :rule instantiate :premises (@p8) :args ((@list tptp.a tptp.a tptp.a))) % 20.49/20.75 (step @p64 :rule symm :premises (@p63)) % 20.49/20.75 (step @p65 :rule cong :premises (@p36 @p41) :args (@t22)) % 20.49/20.75 (step @p66 :rule cong :premises (@p65 @p36) :args (@t23)) % 20.49/20.75 (step @p67 :rule trans :premises (@p66 @p64)) % 20.49/20.75 (step @p68 :rule cong :premises (@p36 @p67) :args (@t24)) % 20.49/20.75 (step @p69 :rule cong :premises (@p68 @p62) :args ((tptp.divide @t24 @t19))) % 20.49/20.75 (step @p70 :rule instantiate :premises (@p8) :args ((@list tptp.a @t19 tptp.a))) % 20.49/20.75 (step @p71 :rule trans :premises (@p70 @p69 @p61)) % 20.49/20.75 (step @p72 :rule instantiate :premises (@p2) :args ((@list tptp.a tptp.b @t9))) % 20.49/20.75 (step @p73 :rule symm :premises (@p72)) % 20.49/20.75 (step @p74 :rule refl :args (tptp.b)) % 20.49/20.75 (step @p75 :rule instantiate :premises (@p4) :args ((@list @t25))) % 20.49/20.75 (step @p76 :rule symm :premises (@p75)) % 20.49/20.75 (step @p77 :rule trans :premises (@p76 @p12)) % 20.49/20.75 (step @p78 :rule trans :premises (@p77 @p23)) % 20.49/20.75 (step @p79 :rule cong :premises (@p78 @p74) :args ((tptp.divide @t26 tptp.b))) % 20.49/20.75 (step @p80 :rule symm :premises (@p77)) % 20.49/20.75 (step @p81 :rule symm :premises (@p70)) % 20.49/20.75 (step @p82 :rule symm :premises (@p69)) % 20.49/20.75 (step @p83 :rule trans :premises (@p82 @p81)) % 20.49/20.75 (step @p84 :rule cong :premises (@p83 @p36) :args (@t27)) % 20.49/20.75 (step @p85 :rule trans :premises (@p84 @p80)) % 20.49/20.75 (step @p86 :rule cong :premises (@p85 @p74) :args (@t28)) % 20.49/20.75 (step @p87 :rule trans :premises (@p86 @p79)) % 20.49/20.75 (step @p88 :rule cong :premises (@p83 @p87) :args (@t29)) % 20.49/20.75 (step @p89 :rule trans :premises (@p88 @p73)) % 20.49/20.75 (step @p90 :rule cong :premises (@p89 @p71) :args ((tptp.divide @t29 tptp.a))) % 20.49/20.75 (step @p91 :rule instantiate :premises (@p8) :args ((@list @t20 tptp.a tptp.b))) % 20.49/20.75 (step @p92 :rule instantiate :premises (@p8) :args ((@list @t25 @t25 tptp.b))) % 20.49/20.75 (step @p93 :rule symm :premises (@p92)) % 20.49/20.75 (step @p94 :rule refl :args (@t25)) % 20.49/20.75 (step @p95 :rule symm :premises (@p79)) % 20.49/20.75 (step @p96 :rule cong :premises (@p94 @p95) :args (@t26)) % 20.49/20.75 (step @p97 :rule trans :premises (@p55 @p75 @p96)) % 20.49/20.75 (step @p98 :rule cong :premises (@p97 @p94) :args ((tptp.divide @t9 @t25))) % 20.49/20.75 (step @p99 :rule trans :premises (@p98 @p93 @p91 @p90 @p60)) % 20.49/20.75 (step @p100 :rule symm :premises (@p98)) % 20.49/20.75 (step @p101 :rule symm :premises (@p91)) % 20.49/20.75 (step @p102 :rule symm :premises (@p90)) % 20.49/20.75 (step @p103 :rule cong :premises (@p40 @p71) :args (@t30)) % 20.49/20.75 (step @p104 :rule trans :premises (@p103 @p102 @p101 @p92 @p100)) % 20.49/20.75 (step @p105 :rule trans :premises (@p104 @p99)) % 20.49/20.75 (step @p106 :rule cong :premises (@p105 @p40) :args ((tptp.divide @t30 @t8))) % 20.49/20.75 (step @p107 :rule symm :premises (@p104)) % 20.49/20.75 (step @p108 :rule instantiate :premises (@p8) :args ((@list @t9 @t9 tptp.b))) % 20.49/20.75 (step @p109 :rule symm :premises (@p108)) % 20.49/20.75 (step @p110 :rule trans :premises (@p92 @p100)) % 20.49/20.75 (step @p111 :rule cong :premises (@p110 @p15) :args (@t31)) % 20.49/20.75 (step @p112 :rule trans :premises (@p111 @p109 @p92 @p100)) % 20.49/20.75 (step @p113 :rule trans :premises (@p112 @p107)) % 20.49/20.75 (step @p114 :rule cong :premises (@p113 @p40) :args (@t32)) % 20.49/20.75 (step @p115 :rule trans :premises (@p114 @p106 @p39 @p37)) % 20.49/20.75 (step @p116 :rule cong :premises (@p74 @p115) :args (@t33)) % 20.49/20.75 (step @p117 :rule trans :premises (@p116 @p35)) % 20.49/20.75 (step @p118 :rule cong :premises (@p117 @p33) :args (@t34)) % 20.49/20.75 (step @p119 :rule trans :premises (@p118 @p32 @p11)) % 20.49/20.75 (step @p120 :rule cong :premises (@p40 @p119) :args (@t35)) % 20.49/20.75 (step @p121 :rule trans :premises (@p120 @p9)) % 20.49/20.75 (step @p122 :rule false_elim :premises (@p121)) % 20.49/20.75 (assume-push @p129 @t36) % 20.49/20.75 (step @p124 :rule instantiate :premises (@p8) :args ((@list tptp.b @t9 @t8))) % 20.49/20.75 (step-pop @p130 :rule scope :premises (@p124)) % 20.49/20.75 (step @p125 :rule process_scope :premises (@p130) :args (@t35)) % 20.49/20.75 (step @p127 :rule implies_elim :premises (@p125)) % 20.49/20.75 (step @p128 false :rule chain_m_resolution :premises (@p127 @p122 @p8) :args (false (@list true false) (@list @t35 @t36))) % 20.49/20.75 ) % 20.49/20.75 % SZS output end Proof % 20.49/20.75 % cvc5 exiting %------------------------------------------------------------------------------