%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GRP521-1 : TPTP v9.2.1. Released v2.6.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/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 08:20:51 AM UTC 2026 % Result : Unsatisfiable 0.46s 0.66s % Output : Proof 0.46s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GRP521-1 : TPTP v9.2.1. Released v2.6.0. % 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 : n025.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 01:15:31 EDT 2026 % 0.16/0.34 % CPUTime : % 0.32/0.48 %----Proving TF0_NAR, FOF, or CNF % 0.32/0.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.46/0.66 % SZS status Unsatisfiable % 0.46/0.66 % SZS output start Proof % 0.46/0.66 ( % 0.46/0.66 (declare-sort $$unsorted 0) % 0.46/0.66 (declare-const tptp.a1 $$unsorted) % 0.46/0.66 (declare-const tptp.b1 $$unsorted) % 0.46/0.66 (declare-const tptp.inverse (-> $$unsorted $$unsorted)) % 0.46/0.66 (declare-const tptp.multiply (-> $$unsorted $$unsorted $$unsorted)) % 0.46/0.66 (declare-const tptp.divide (-> $$unsorted $$unsorted $$unsorted)) % 0.46/0.66 (define @t1 () (@var "C" $$unsorted)) % 0.46/0.66 (define @t2 () (@var "B" $$unsorted)) % 0.46/0.66 (define @t3 () (@var "A" $$unsorted)) % 0.46/0.66 (define @t4 () (tptp.divide @t3 (tptp.divide @t2 (tptp.divide @t1 (tptp.divide @t3 @t2))))) % 0.46/0.66 (define @t5 () (@list @t3 @t2 @t1)) % 0.46/0.66 (define @t6 () (forall @t5 (= @t4 @t1))) % 0.46/0.66 (define @t7 () (tptp.inverse tptp.b1)) % 0.46/0.66 (define @t8 () (tptp.divide tptp.a1 tptp.a1)) % 0.46/0.66 (define @t9 () (tptp.divide @t8 tptp.b1)) % 0.46/0.66 (define @t10 () (tptp.divide @t7 @t9)) % 0.46/0.66 (define @t11 () (tptp.divide tptp.b1 @t10)) % 0.46/0.66 (define @t12 () (tptp.divide @t7 @t7)) % 0.46/0.66 (define @t13 () (tptp.divide @t12 @t11)) % 0.46/0.66 (define @t14 () (tptp.divide @t10 @t13)) % 0.46/0.66 (define @t15 () (tptp.divide tptp.b1 @t14)) % 0.46/0.66 (define @t16 () (= @t12 @t15)) % 0.46/0.66 (define @t17 () (= @t15 @t12)) % 0.46/0.66 (define @t18 () (tptp.divide @t8 tptp.a1)) % 0.46/0.66 (define @t19 () (tptp.divide tptp.a1 (tptp.divide tptp.a1 @t18))) % 0.46/0.66 (define @t20 () (tptp.divide tptp.a1 @t8)) % 0.46/0.66 (define @t21 () (tptp.divide tptp.a1 @t20)) % 0.46/0.66 (define @t22 () (tptp.divide tptp.a1 @t21)) % 0.46/0.66 (define @t23 () (tptp.divide tptp.a1 @t22)) % 0.46/0.66 (define @t24 () (tptp.divide @t21 @t23)) % 0.46/0.66 (define @t25 () (tptp.divide tptp.a1 @t24)) % 0.46/0.66 (define @t26 () (tptp.divide @t23 @t25)) % 0.46/0.66 (define @t27 () (tptp.divide @t8 @t19)) % 0.46/0.66 (define @t28 () (tptp.divide @t8 @t27)) % 0.46/0.66 (define @t29 () (tptp.divide @t19 @t28)) % 0.46/0.66 (define @t30 () (tptp.divide @t19 @t18)) % 0.46/0.66 (define @t31 () (tptp.divide tptp.a1 @t30)) % 0.46/0.66 (define @t32 () (tptp.divide @t21 @t18)) % 0.46/0.66 (define @t33 () (tptp.divide tptp.a1 @t32)) % 0.46/0.66 (define @t34 () (forall @t5 (= @t1 @t4))) % 0.46/0.66 (assume @p1 @t6) % 0.46/0.66 (assume @p2 (forall @t5 (= (tptp.multiply @t3 @t2) (tptp.divide @t3 (tptp.divide (tptp.divide @t1 @t1) @t2))))) % 0.46/0.66 (assume @p3 (forall (@list @t3 @t2) (= (tptp.inverse @t3) (tptp.divide (tptp.divide @t2 @t2) @t3)))) % 0.46/0.66 (assume @p4 (not (= (tptp.multiply (tptp.inverse tptp.a1) tptp.a1) (tptp.multiply @t7 tptp.b1)))) % 0.46/0.66 (step @p5 :rule eq-symm :args (@t4 @t1)) % 0.46/0.66 (step @p6 :rule cong :premises (@p5) :args (@t6)) % 0.46/0.66 (step @p7 :rule eq_resolve :premises (@p1 @p6)) % 0.46/0.66 (step @p8 :rule bool-eq-false :args (@t16)) % 0.46/0.66 (step @p9 :rule symm :premises (@p8)) % 0.46/0.66 (step @p10 :rule eq-symm :args (@t15 @t12)) % 0.46/0.66 (step @p11 :rule cong :premises (@p10) :args ((not @t17))) % 0.46/0.66 (step @p12 :rule bool-eq-false :args (@t17)) % 0.46/0.66 (step @p13 :rule trans :premises (@p12 @p11)) % 0.46/0.66 (step @p14 :rule trans :premises (@p13 @p9)) % 0.46/0.66 (step @p15 :rule false_intro :premises (@p4)) % 0.46/0.66 (step @p16 :rule instantiate :premises (@p2) :args ((@list @t7 tptp.b1 @t19))) % 0.46/0.66 (step @p17 :rule symm :premises (@p16)) % 0.46/0.66 (step @p18 :rule refl :args (tptp.b1)) % 0.46/0.66 (step @p19 :rule instantiate :premises (@p7) :args ((@list @t8 tptp.a1 @t19))) % 0.46/0.66 (step @p20 :rule symm :premises (@p19)) % 0.46/0.66 (step @p21 :rule instantiate :premises (@p7) :args ((@list tptp.a1 tptp.a1 tptp.a1))) % 0.46/0.66 (step @p22 :rule symm :premises (@p21)) % 0.46/0.66 (step @p23 :rule instantiate :premises (@p7) :args ((@list tptp.a1 (tptp.divide @t21 (tptp.divide @t8 @t22)) @t21))) % 0.46/0.66 (step @p24 :rule symm :premises (@p23)) % 0.46/0.66 (step @p25 :rule instantiate :premises (@p7) :args ((@list tptp.a1 @t21 @t8))) % 0.46/0.66 (step @p26 :rule refl :args (tptp.a1)) % 0.46/0.66 (step @p27 :rule cong :premises (@p26 @p22) :args (@t23)) % 0.46/0.66 (step @p28 :rule trans :premises (@p27 @p25)) % 0.46/0.66 (step @p29 :rule refl :args (@t21)) % 0.46/0.66 (step @p30 :rule cong :premises (@p29 @p28) :args (@t24)) % 0.46/0.66 (step @p31 :rule refl :args (@t8)) % 0.46/0.66 (step @p32 :rule cong :premises (@p31 @p21) :args (@t18)) % 0.46/0.66 (step @p33 :rule instantiate :premises (@p7) :args ((@list tptp.a1 @t21 tptp.a1))) % 0.46/0.66 (step @p34 :rule symm :premises (@p33)) % 0.46/0.66 (step @p35 :rule cong :premises (@p27 @p34) :args (@t26)) % 0.46/0.66 (step @p36 :rule trans :premises (@p35 @p32)) % 0.46/0.66 (step @p37 :rule cong :premises (@p29 @p36) :args ((tptp.divide @t21 @t26))) % 0.46/0.66 (step @p38 :rule instantiate :premises (@p7) :args ((@list @t21 @t23 tptp.a1))) % 0.46/0.66 (step @p39 :rule trans :premises (@p38 @p37)) % 0.46/0.66 (step @p40 :rule cong :premises (@p39 @p30) :args (@t25)) % 0.46/0.66 (step @p41 :rule trans :premises (@p33 @p40)) % 0.46/0.66 (step @p42 :rule cong :premises (@p26 @p41) :args (@t8)) % 0.46/0.66 (step @p43 :rule trans :premises (@p42 @p24)) % 0.46/0.66 (step @p44 :rule cong :premises (@p26 @p43) :args (@t20)) % 0.46/0.66 (step @p45 :rule instantiate :premises (@p7) :args ((@list @t19 (tptp.divide tptp.a1 @t27) @t8))) % 0.46/0.66 (step @p46 :rule symm :premises (@p45)) % 0.46/0.66 (step @p47 :rule instantiate :premises (@p7) :args ((@list @t8 @t19 tptp.a1))) % 0.46/0.66 (step @p48 :rule instantiate :premises (@p7) :args ((@list @t8 tptp.a1 tptp.a1))) % 0.46/0.66 (step @p49 :rule cong :premises (@p26 @p48) :args (@t8)) % 0.46/0.66 (step @p50 :rule cong :premises (@p49 @p47) :args (@t18)) % 0.46/0.66 (step @p51 :rule symm :premises (@p48)) % 0.46/0.66 (step @p52 :rule cong :premises (@p31 @p51) :args (@t28)) % 0.46/0.66 (step @p53 :rule trans :premises (@p52 @p50)) % 0.46/0.66 (step @p54 :rule refl :args (@t19)) % 0.46/0.66 (step @p55 :rule cong :premises (@p54 @p53) :args (@t29)) % 0.46/0.66 (step @p56 :rule symm :premises (@p52)) % 0.46/0.66 (step @p57 :rule cong :premises (@p54 @p56) :args (@t30)) % 0.46/0.66 (step @p58 :rule trans :premises (@p57 @p55 @p46)) % 0.46/0.66 (step @p59 :rule cong :premises (@p26 @p58) :args (@t31)) % 0.46/0.66 (step @p60 :rule trans :premises (@p59 @p44 @p22)) % 0.46/0.66 (step @p61 :rule cong :premises (@p31 @p60) :args ((tptp.divide @t8 @t31))) % 0.46/0.66 (step @p62 :rule symm :premises (@p61)) % 0.46/0.66 (step @p63 :rule trans :premises (@p52 @p62 @p20)) % 0.46/0.66 (step @p64 :rule cong :premises (@p54 @p63) :args (@t29)) % 0.46/0.66 (step @p65 :rule symm :premises (@p55)) % 0.46/0.66 (step @p66 :rule trans :premises (@p45 @p65 @p64)) % 0.46/0.66 (step @p67 :rule cong :premises (@p66 @p18) :args (@t9)) % 0.46/0.66 (step @p68 :rule refl :args (@t7)) % 0.46/0.66 (step @p69 :rule cong :premises (@p68 @p67) :args (@t10)) % 0.46/0.66 (step @p70 :rule instantiate :premises (@p3) :args ((@list tptp.b1 tptp.a1))) % 0.46/0.66 (step @p71 :rule cong :premises (@p68 @p70) :args (@t12)) % 0.46/0.66 (step @p72 :rule trans :premises (@p71 @p69 @p17)) % 0.46/0.66 (step @p73 :rule instantiate :premises (@p3) :args ((@list tptp.a1 tptp.a1))) % 0.46/0.66 (step @p74 :rule symm :premises (@p73)) % 0.46/0.66 (step @p75 :rule trans :premises (@p19 @p61 @p74)) % 0.46/0.66 (step @p76 :rule cong :premises (@p75 @p26) :args ((tptp.multiply @t19 tptp.a1))) % 0.46/0.66 (step @p77 :rule instantiate :premises (@p2) :args ((@list @t19 tptp.a1 @t21))) % 0.46/0.66 (step @p78 :rule symm :premises (@p77)) % 0.46/0.66 (step @p79 :rule symm :premises (@p25)) % 0.46/0.66 (step @p80 :rule cong :premises (@p29 @p32) :args (@t32)) % 0.46/0.66 (step @p81 :rule cong :premises (@p26 @p80) :args (@t33)) % 0.46/0.66 (step @p82 :rule trans :premises (@p81 @p79 @p42 @p24)) % 0.46/0.66 (step @p83 :rule cong :premises (@p43 @p82) :args ((tptp.divide @t8 @t33))) % 0.46/0.66 (step @p84 :rule instantiate :premises (@p7) :args ((@list @t8 tptp.a1 @t21))) % 0.46/0.66 (step @p85 :rule trans :premises (@p42 @p24 @p84 @p83)) % 0.46/0.66 (step @p86 :rule cong :premises (@p85 @p26) :args (@t18)) % 0.46/0.66 (step @p87 :rule trans :premises (@p52 @p86)) % 0.46/0.66 (step @p88 :rule cong :premises (@p54 @p87) :args (@t29)) % 0.46/0.66 (step @p89 :rule instantiate :premises (@p7) :args ((@list tptp.b1 @t10 @t8))) % 0.46/0.66 (step @p90 :rule symm :premises (@p89)) % 0.46/0.66 (step @p91 :rule instantiate :premises (@p7) :args ((@list @t8 tptp.b1 @t7))) % 0.46/0.66 (step @p92 :rule instantiate :premises (@p7) :args ((@list @t12 tptp.b1 @t7))) % 0.46/0.66 (step @p93 :rule symm :premises (@p92)) % 0.46/0.66 (step @p94 :rule instantiate :premises (@p3) :args ((@list tptp.b1 @t7))) % 0.46/0.66 (step @p95 :rule symm :premises (@p70)) % 0.46/0.66 (step @p96 :rule trans :premises (@p95 @p94)) % 0.46/0.66 (step @p97 :rule cong :premises (@p68 @p96) :args (@t10)) % 0.46/0.66 (step @p98 :rule cong :premises (@p18 @p97) :args (@t11)) % 0.46/0.66 (step @p99 :rule refl :args (@t12)) % 0.46/0.66 (step @p100 :rule cong :premises (@p99 @p98) :args (@t13)) % 0.46/0.66 (step @p101 :rule trans :premises (@p100 @p93 @p91)) % 0.46/0.66 (step @p102 :rule refl :args (@t10)) % 0.46/0.66 (step @p103 :rule cong :premises (@p102 @p101) :args (@t14)) % 0.46/0.66 (step @p104 :rule cong :premises (@p18 @p103) :args (@t15)) % 0.46/0.66 (step @p105 :rule trans :premises (@p104 @p90 @p45 @p65 @p88 @p78 @p76)) % 0.46/0.66 (step @p106 :rule cong :premises (@p105 @p72) :args (@t17)) % 0.46/0.66 (step @p107 :rule trans :premises (@p106 @p15)) % 0.46/0.66 (step @p108 :rule eq_resolve :premises (@p107 @p14)) % 0.46/0.66 (step @p109 :rule false_elim :premises (@p108)) % 0.46/0.66 (assume-push @p116 @t34) % 0.46/0.66 (step @p111 :rule instantiate :premises (@p7) :args ((@list tptp.b1 @t10 @t12))) % 0.46/0.66 (step-pop @p117 :rule scope :premises (@p111)) % 0.46/0.66 (step @p112 :rule process_scope :premises (@p117) :args (@t16)) % 0.46/0.66 (step @p114 :rule implies_elim :premises (@p112)) % 0.46/0.66 (step @p115 false :rule chain_m_resolution :premises (@p114 @p109 @p7) :args (false (@list true false) (@list @t16 @t34))) % 0.46/0.66 ) % 0.46/0.66 % SZS output end Proof % 0.46/0.67 % cvc5 exiting %------------------------------------------------------------------------------