%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GRP532-1 : 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 0.44s 0.64s % Output : Proof 0.44s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.13 % Problem : GRP532-1 : TPTP v9.2.1. Bugfixed v2.7.0. % 0.11/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n003.cluster.edu % 0.17/0.35 % Model : x86_64 x86_64 % 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.35 % Memory : 8042.1875MB % 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Tue Jun 2 01:15:14 EDT 2026 % 0.17/0.35 % CPUTime : % 0.27/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.27/0.51 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.44/0.64 % SZS status Unsatisfiable % 0.44/0.64 % SZS output start Proof % 0.44/0.64 ( % 0.44/0.64 (declare-sort $$unsorted 0) % 0.44/0.64 (declare-const tptp.b $$unsorted) % 0.44/0.64 (declare-const tptp.a $$unsorted) % 0.44/0.64 (declare-const tptp.inverse (-> $$unsorted $$unsorted)) % 0.44/0.64 (declare-const tptp.multiply (-> $$unsorted $$unsorted $$unsorted)) % 0.44/0.64 (declare-const tptp.divide (-> $$unsorted $$unsorted $$unsorted)) % 0.44/0.64 (define @t1 () (@var "C" $$unsorted)) % 0.44/0.64 (define @t2 () (@var "B" $$unsorted)) % 0.44/0.64 (define @t3 () (@var "A" $$unsorted)) % 0.44/0.64 (define @t4 () (tptp.divide (tptp.divide @t3 (tptp.divide @t2 @t1)) (tptp.divide @t3 @t2))) % 0.44/0.64 (define @t5 () (@list @t3 @t2 @t1)) % 0.44/0.64 (define @t6 () (forall @t5 (= @t4 @t1))) % 0.44/0.64 (define @t7 () (forall @t5 (= (tptp.multiply @t3 @t2) (tptp.divide @t3 (tptp.divide (tptp.divide @t1 @t1) @t2))))) % 0.44/0.64 (define @t8 () (tptp.divide tptp.a tptp.a)) % 0.44/0.64 (define @t9 () (tptp.divide @t8 tptp.a)) % 0.44/0.64 (define @t10 () (tptp.divide tptp.a @t8)) % 0.44/0.64 (define @t11 () (tptp.divide @t10 @t8)) % 0.44/0.64 (define @t12 () (tptp.divide @t8 @t11)) % 0.44/0.64 (define @t13 () (tptp.divide tptp.b @t12)) % 0.44/0.64 (define @t14 () (tptp.divide @t8 @t10)) % 0.44/0.64 (define @t15 () (tptp.divide @t12 @t14)) % 0.44/0.64 (define @t16 () (tptp.divide tptp.b @t15)) % 0.44/0.64 (define @t17 () (tptp.divide tptp.a @t9)) % 0.44/0.64 (define @t18 () (tptp.divide @t17 @t10)) % 0.44/0.64 (define @t19 () (tptp.divide tptp.a @t18)) % 0.44/0.64 (define @t20 () (tptp.divide tptp.a @t17)) % 0.44/0.64 (define @t21 () (tptp.divide @t19 tptp.a)) % 0.44/0.64 (define @t22 () (tptp.divide @t12 @t8)) % 0.44/0.64 (define @t23 () (tptp.divide @t8 @t22)) % 0.44/0.64 (define @t24 () (tptp.divide tptp.a @t11)) % 0.44/0.64 (define @t25 () (tptp.divide @t24 tptp.a)) % 0.44/0.64 (define @t26 () (tptp.divide @t17 @t15)) % 0.44/0.64 (define @t27 () (tptp.divide tptp.b @t26)) % 0.44/0.64 (define @t28 () (tptp.divide @t27 @t27)) % 0.44/0.64 (define @t29 () (tptp.divide @t28 @t16)) % 0.44/0.64 (define @t30 () (tptp.divide @t19 (tptp.divide @t16 @t13))) % 0.44/0.64 (define @t31 () (tptp.divide @t30 @t29)) % 0.44/0.64 (define @t32 () (tptp.divide tptp.b @t9)) % 0.44/0.64 (define @t33 () (tptp.divide tptp.b @t8)) % 0.44/0.64 (define @t34 () (tptp.divide @t32 @t33)) % 0.44/0.64 (define @t35 () (tptp.divide tptp.a @t32)) % 0.44/0.64 (define @t36 () (tptp.divide tptp.a @t34)) % 0.44/0.64 (define @t37 () (tptp.multiply @t30 @t16)) % 0.44/0.64 (define @t38 () (= @t37 @t31)) % 0.44/0.64 (assume @p1 @t6) % 0.44/0.64 (assume @p2 @t7) % 0.44/0.64 (assume @p3 (forall (@list @t3 @t2) (= (tptp.inverse @t3) (tptp.divide (tptp.divide @t2 @t2) @t3)))) % 0.44/0.64 (assume @p4 (not (= (tptp.multiply tptp.a tptp.b) (tptp.multiply tptp.b tptp.a)))) % 0.44/0.64 (step @p5 :rule false_intro :premises (@p4)) % 0.44/0.64 (step @p6 :rule instantiate :premises (@p2) :args ((@list tptp.b tptp.a tptp.a))) % 0.44/0.64 (step @p7 :rule symm :premises (@p6)) % 0.44/0.64 (step @p8 :rule eq-symm :args (@t4 @t1)) % 0.44/0.64 (step @p9 :rule cong :premises (@p8) :args (@t6)) % 0.44/0.64 (step @p10 :rule eq_resolve :premises (@p1 @p9)) % 0.44/0.64 (step @p11 :rule instantiate :premises (@p10) :args ((@list tptp.a tptp.a tptp.a))) % 0.44/0.64 (step @p12 :rule refl :args (@t8)) % 0.44/0.64 (step @p13 :rule cong :premises (@p12 @p11) :args (@t9)) % 0.44/0.64 (step @p14 :rule symm :premises (@p13)) % 0.44/0.64 (step @p15 :rule refl :args (tptp.b)) % 0.44/0.64 (step @p16 :rule cong :premises (@p15 @p14) :args (@t13)) % 0.44/0.64 (step @p17 :rule instantiate :premises (@p10) :args ((@list @t19 @t16 @t13))) % 0.44/0.64 (step @p18 :rule symm :premises (@p17)) % 0.44/0.64 (step @p19 :rule refl :args (@t16)) % 0.44/0.64 (step @p20 :rule instantiate :premises (@p10) :args ((@list tptp.a @t8 tptp.a))) % 0.44/0.64 (step @p21 :rule symm :premises (@p20)) % 0.44/0.64 (step @p22 :rule refl :args (tptp.a)) % 0.44/0.64 (step @p23 :rule cong :premises (@p22 @p21) :args (@t19)) % 0.44/0.64 (step @p24 :rule symm :premises (@p23)) % 0.44/0.64 (step @p25 :rule instantiate :premises (@p10) :args ((@list @t8 @t10 @t8))) % 0.44/0.64 (step @p26 :rule symm :premises (@p25)) % 0.44/0.64 (step @p27 :rule instantiate :premises (@p10) :args ((@list tptp.b @t17 @t15))) % 0.44/0.64 (step @p28 :rule symm :premises (@p27)) % 0.44/0.64 (step @p29 :rule instantiate :premises (@p10) :args ((@list tptp.a tptp.a @t17))) % 0.44/0.64 (step @p30 :rule symm :premises (@p29)) % 0.44/0.64 (step @p31 :rule refl :args (@t17)) % 0.44/0.64 (step @p32 :rule cong :premises (@p20 @p31) :args (@t20)) % 0.44/0.64 (step @p33 :rule symm :premises (@p32)) % 0.44/0.64 (step @p34 :rule cong :premises (@p23 @p22) :args (@t21)) % 0.44/0.64 (step @p35 :rule trans :premises (@p34 @p13)) % 0.44/0.64 (step @p36 :rule instantiate :premises (@p10) :args ((@list tptp.a @t17 @t10))) % 0.44/0.64 (step @p37 :rule symm :premises (@p36)) % 0.44/0.64 (step @p38 :rule cong :premises (@p37 @p35) :args ((tptp.divide (tptp.divide @t19 @t20) @t21))) % 0.44/0.64 (step @p39 :rule instantiate :premises (@p10) :args ((@list @t19 tptp.a @t17))) % 0.44/0.64 (step @p40 :rule trans :premises (@p39 @p38)) % 0.44/0.64 (step @p41 :rule refl :args (@t10)) % 0.44/0.64 (step @p42 :rule cong :premises (@p41 @p25) :args (@t11)) % 0.44/0.64 (step @p43 :rule trans :premises (@p11 @p42)) % 0.44/0.64 (step @p44 :rule trans :premises (@p21 @p43)) % 0.44/0.64 (step @p45 :rule cong :premises (@p44 @p40) :args ((tptp.divide @t18 @t17))) % 0.44/0.64 (step @p46 :rule symm :premises (@p45)) % 0.44/0.64 (step @p47 :rule instantiate :premises (@p10) :args ((@list @t10 @t12 @t14))) % 0.44/0.64 (step @p48 :rule refl :args (@t22)) % 0.44/0.64 (step @p49 :rule cong :premises (@p25 @p48) :args (@t23)) % 0.44/0.64 (step @p50 :rule symm :premises (@p49)) % 0.44/0.64 (step @p51 :rule instantiate :premises (@p10) :args ((@list @t12 @t8 @t10))) % 0.44/0.64 (step @p52 :rule trans :premises (@p51 @p50)) % 0.44/0.64 (step @p53 :rule cong :premises (@p12 @p52) :args (@t14)) % 0.44/0.64 (step @p54 :rule symm :premises (@p53)) % 0.44/0.64 (step @p55 :rule instantiate :premises (@p10) :args ((@list @t14 @t8 tptp.a))) % 0.44/0.64 (step @p56 :rule symm :premises (@p55)) % 0.44/0.64 (step @p57 :rule symm :premises (@p47)) % 0.44/0.64 (step @p58 :rule trans :premises (@p32 @p45 @p57)) % 0.44/0.64 (step @p59 :rule cong :premises (@p58 @p12) :args ((tptp.divide @t20 @t8))) % 0.44/0.64 (step @p60 :rule instantiate :premises (@p10) :args ((@list tptp.a tptp.a @t9))) % 0.44/0.64 (step @p61 :rule symm :premises (@p11)) % 0.44/0.64 (step @p62 :rule cong :premises (@p22 @p61) :args (@t24)) % 0.44/0.64 (step @p63 :rule cong :premises (@p62 @p22) :args (@t25)) % 0.44/0.64 (step @p64 :rule trans :premises (@p63 @p60 @p59)) % 0.44/0.64 (step @p65 :rule instantiate :premises (@p10) :args ((@list @t8 tptp.a @t8))) % 0.44/0.64 (step @p66 :rule instantiate :premises (@p10) :args ((@list tptp.a @t10 @t8))) % 0.44/0.64 (step @p67 :rule symm :premises (@p66)) % 0.44/0.64 (step @p68 :rule trans :premises (@p67 @p65)) % 0.44/0.64 (step @p69 :rule cong :premises (@p68 @p64) :args ((tptp.divide (tptp.divide @t24 (tptp.divide tptp.a @t10)) @t25))) % 0.44/0.64 (step @p70 :rule instantiate :premises (@p10) :args ((@list @t24 tptp.a @t10))) % 0.44/0.64 (step @p71 :rule symm :premises (@p51)) % 0.44/0.64 (step @p72 :rule trans :premises (@p49 @p71 @p70 @p69 @p56)) % 0.44/0.64 (step @p73 :rule cong :premises (@p12 @p72) :args ((tptp.divide @t8 @t23))) % 0.44/0.64 (step @p74 :rule symm :premises (@p73)) % 0.44/0.64 (step @p75 :rule trans :premises (@p74 @p54 @p47 @p46 @p33)) % 0.44/0.64 (step @p76 :rule cong :premises (@p22 @p75) :args (@t17)) % 0.44/0.64 (step @p77 :rule cong :premises (@p76 @p26) :args (@t26)) % 0.44/0.64 (step @p78 :rule trans :premises (@p77 @p30)) % 0.44/0.64 (step @p79 :rule cong :premises (@p15 @p78) :args (@t27)) % 0.44/0.64 (step @p80 :rule refl :args (@t27)) % 0.44/0.64 (step @p81 :rule cong :premises (@p80 @p79) :args (@t28)) % 0.44/0.64 (step @p82 :rule trans :premises (@p81 @p28 @p26)) % 0.44/0.64 (step @p83 :rule trans :premises (@p82 @p24)) % 0.44/0.64 (step @p84 :rule cong :premises (@p83 @p19) :args (@t29)) % 0.44/0.64 (step @p85 :rule refl :args (@t30)) % 0.44/0.64 (step @p86 :rule cong :premises (@p85 @p84) :args (@t31)) % 0.44/0.64 (step @p87 :rule trans :premises (@p86 @p18 @p16 @p7)) % 0.44/0.64 (step @p88 :rule instantiate :premises (@p10) :args ((@list @t34 @t32 tptp.b))) % 0.44/0.64 (step @p89 :rule symm :premises (@p88)) % 0.44/0.64 (step @p90 :rule refl :args (@t32)) % 0.44/0.64 (step @p91 :rule instantiate :premises (@p10) :args ((@list tptp.b @t8 tptp.a))) % 0.44/0.64 (step @p92 :rule cong :premises (@p91 @p90) :args (@t35)) % 0.44/0.64 (step @p93 :rule instantiate :premises (@p10) :args ((@list @t32 tptp.b @t8))) % 0.44/0.64 (step @p94 :rule symm :premises (@p91)) % 0.44/0.64 (step @p95 :rule cong :premises (@p22 @p94) :args (@t36)) % 0.44/0.64 (step @p96 :rule trans :premises (@p95 @p93)) % 0.44/0.64 (step @p97 :rule cong :premises (@p96 @p92) :args ((tptp.divide @t36 @t35))) % 0.44/0.64 (step @p98 :rule instantiate :premises (@p10) :args ((@list tptp.a @t32 @t33))) % 0.44/0.64 (step @p99 :rule cong :premises (@p15 @p26) :args (@t16)) % 0.44/0.64 (step @p100 :rule trans :premises (@p99 @p98 @p97 @p89)) % 0.44/0.64 (step @p101 :rule symm :premises (@p63)) % 0.44/0.64 (step @p102 :rule instantiate :premises (@p10) :args ((@list tptp.b @t12 @t14))) % 0.44/0.64 (step @p103 :rule symm :premises (@p102)) % 0.44/0.64 (step @p104 :rule trans :premises (@p103 @p53 @p73 @p101)) % 0.44/0.64 (step @p105 :rule trans :premises (@p23 @p66)) % 0.44/0.64 (step @p106 :rule cong :premises (@p105 @p104) :args (@t30)) % 0.44/0.64 (step @p107 :rule trans :premises (@p106 @p69 @p56)) % 0.44/0.64 (step @p108 :rule cong :premises (@p107 @p100) :args (@t37)) % 0.44/0.64 (step @p109 :rule cong :premises (@p108 @p87) :args (@t38)) % 0.44/0.64 (step @p110 :rule trans :premises (@p109 @p5)) % 0.44/0.64 (step @p111 :rule false_elim :premises (@p110)) % 0.44/0.64 (assume-push @p118 @t7) % 0.44/0.64 (step @p113 :rule instantiate :premises (@p2) :args ((@list @t30 @t16 @t27))) % 0.44/0.64 (step-pop @p119 :rule scope :premises (@p113)) % 0.44/0.64 (step @p114 :rule process_scope :premises (@p119) :args (@t38)) % 0.44/0.64 (step @p116 :rule implies_elim :premises (@p114)) % 0.44/0.64 (step @p117 false :rule chain_m_resolution :premises (@p116 @p111 @p2) :args (false (@list true false) (@list @t38 @t7))) % 0.44/0.64 ) % 0.44/0.64 % SZS output end Proof % 0.44/0.64 % cvc5 exiting %------------------------------------------------------------------------------