%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GRP526-1 : 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 08:20:52 AM UTC 2026 % Result : Unsatisfiable 0.38s 0.58s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GRP526-1 : TPTP v9.2.1. Released v2.6.0. % 0.12/0.13 % 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 01:15:55 EDT 2026 % 0.17/0.34 % CPUTime : % 0.29/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.29/0.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.38/0.58 % SZS status Unsatisfiable % 0.38/0.58 % SZS output start Proof % 0.38/0.59 ( % 0.38/0.59 (declare-sort $$unsorted 0) % 0.38/0.59 (declare-const tptp.b2 $$unsorted) % 0.38/0.59 (declare-const tptp.a2 $$unsorted) % 0.38/0.59 (declare-const tptp.inverse (-> $$unsorted $$unsorted)) % 0.38/0.59 (declare-const tptp.multiply (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.59 (declare-const tptp.divide (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.59 (define @t1 () (@var "C" $$unsorted)) % 0.38/0.59 (define @t2 () (@var "B" $$unsorted)) % 0.38/0.59 (define @t3 () (@var "A" $$unsorted)) % 0.38/0.59 (define @t4 () (tptp.divide @t3 (tptp.divide (tptp.divide @t3 @t2) (tptp.divide @t1 @t2)))) % 0.38/0.59 (define @t5 () (@list @t3 @t2 @t1)) % 0.38/0.59 (define @t6 () (forall @t5 (= @t4 @t1))) % 0.38/0.59 (define @t7 () (forall (@list @t3 @t2) (= (tptp.inverse @t3) (tptp.divide (tptp.divide @t2 @t2) @t3)))) % 0.38/0.59 (define @t8 () (tptp.inverse tptp.b2)) % 0.38/0.59 (define @t9 () (tptp.multiply @t8 tptp.b2)) % 0.38/0.59 (define @t10 () (tptp.multiply @t9 tptp.a2)) % 0.38/0.59 (define @t11 () (tptp.divide tptp.b2 tptp.b2)) % 0.38/0.59 (define @t12 () (tptp.divide @t11 @t11)) % 0.38/0.59 (define @t13 () (tptp.inverse @t11)) % 0.38/0.59 (define @t14 () (= @t13 @t12)) % 0.38/0.59 (define @t15 () (@list @t11 tptp.b2)) % 0.38/0.59 (define @t16 () (= @t12 @t13)) % 0.38/0.59 (define @t17 () (tptp.divide tptp.b2 @t11)) % 0.38/0.59 (define @t18 () (tptp.divide @t12 @t17)) % 0.38/0.59 (define @t19 () (tptp.divide @t8 @t8)) % 0.38/0.59 (define @t20 () (tptp.divide tptp.a2 tptp.a2)) % 0.38/0.59 (define @t21 () (tptp.divide tptp.b2 @t12)) % 0.38/0.59 (define @t22 () (= tptp.b2 @t21)) % 0.38/0.59 (define @t23 () (tptp.divide @t11 tptp.b2)) % 0.38/0.59 (define @t24 () (= @t8 @t23)) % 0.38/0.59 (define @t25 () (= tptp.b2 (tptp.divide tptp.b2 (tptp.divide @t21 @t21)))) % 0.38/0.59 (define @t26 () (= @t9 (tptp.divide @t8 @t23))) % 0.38/0.59 (define @t27 () (tptp.divide @t12 tptp.b2)) % 0.38/0.59 (define @t28 () (= @t8 @t27)) % 0.38/0.59 (define @t29 () (tptp.divide @t11 @t18)) % 0.38/0.59 (define @t30 () (= tptp.b2 @t29)) % 0.38/0.59 (define @t31 () (tptp.divide @t19 tptp.b2)) % 0.38/0.59 (define @t32 () (= @t8 @t31)) % 0.38/0.59 (define @t33 () (tptp.divide @t12 @t11)) % 0.38/0.59 (define @t34 () (= @t13 @t33)) % 0.38/0.59 (define @t35 () (= @t11 (tptp.divide @t11 (tptp.divide @t29 @t29)))) % 0.38/0.59 (define @t36 () (= @t19 (tptp.divide tptp.b2 (tptp.divide @t11 @t31)))) % 0.38/0.59 (define @t37 () (tptp.divide @t20 tptp.b2)) % 0.38/0.59 (define @t38 () (= @t8 @t37)) % 0.38/0.59 (define @t39 () (= @t20 (tptp.divide tptp.b2 (tptp.divide @t11 @t37)))) % 0.38/0.59 (define @t40 () (= tptp.a2 (tptp.divide tptp.a2 (tptp.divide @t20 @t20)))) % 0.38/0.59 (define @t41 () (tptp.divide tptp.a2 @t11)) % 0.38/0.59 (define @t42 () (tptp.divide @t12 @t41)) % 0.38/0.59 (define @t43 () (tptp.divide @t11 @t42)) % 0.38/0.59 (define @t44 () (= tptp.a2 @t43)) % 0.38/0.59 (define @t45 () (= @t10 (tptp.divide @t9 (tptp.divide @t20 tptp.a2)))) % 0.38/0.59 (define @t46 () (tptp.divide @t33 @t17)) % 0.38/0.59 (define @t47 () (= tptp.a2 @t10)) % 0.38/0.59 (define @t48 () (and @t22 @t24 @t25 @t16 @t26 @t28 @t30 @t32 @t34 @t35 @t36 @t38 @t39 @t40 @t44 @t45)) % 0.38/0.59 (assume @p1 @t6) % 0.38/0.59 (assume @p2 (forall @t5 (= (tptp.multiply @t3 @t2) (tptp.divide @t3 (tptp.divide (tptp.divide @t1 @t1) @t2))))) % 0.38/0.59 (assume @p3 @t7) % 0.38/0.59 (assume @p4 (not (= @t10 tptp.a2))) % 0.38/0.59 (step @p5 :rule symm :premises (@p4)) % 0.38/0.59 (step @p6 :rule eq-symm :args (@t4 @t1)) % 0.38/0.59 (step @p7 :rule cong :premises (@p6) :args (@t6)) % 0.38/0.59 (step @p8 :rule eq_resolve :premises (@p1 @p7)) % 0.38/0.59 (step @p9 :rule instantiate :premises (@p8) :args ((@list tptp.b2 tptp.b2 tptp.b2))) % 0.38/0.59 (step @p10 :rule instantiate :premises (@p3) :args ((@list tptp.b2 tptp.b2))) % 0.38/0.59 (step @p11 :rule instantiate :premises (@p8) :args ((@list tptp.b2 @t12 tptp.b2))) % 0.38/0.59 (step @p12 :rule eq-symm :args (@t13 @t12)) % 0.38/0.59 (step @p13 :rule refl :args (@t7)) % 0.38/0.59 (step @p14 :rule cong :premises (@p13 @p12) :args ((=> @t7 @t14))) % 0.38/0.59 (assume-push @p125 @t7) % 0.38/0.59 (step @p16 :rule instantiate :premises (@p3) :args (@t15)) % 0.38/0.59 (step-pop @p126 :rule scope :premises (@p16)) % 0.38/0.59 (step @p17 :rule process_scope :premises (@p126) :args (@t14)) % 0.38/0.59 (step @p19 :rule eq_resolve :premises (@p17 @p14)) % 0.38/0.59 (step @p20 :rule implies_elim :premises (@p19)) % 0.38/0.59 (step @p21 :rule chain_m_resolution :premises (@p20 @p3) :args (@t16 (@list false) (@list @t7))) % 0.38/0.59 (step @p22 :rule instantiate :premises (@p2) :args ((@list @t8 tptp.b2 tptp.b2))) % 0.38/0.59 (step @p23 :rule instantiate :premises (@p3) :args ((@list tptp.b2 @t11))) % 0.38/0.59 (step @p24 :rule instantiate :premises (@p8) :args ((@list @t11 @t11 tptp.b2))) % 0.38/0.59 (step @p25 :rule instantiate :premises (@p3) :args ((@list tptp.b2 @t8))) % 0.38/0.59 (step @p26 :rule instantiate :premises (@p3) :args ((@list @t11 @t11))) % 0.38/0.59 (step @p27 :rule instantiate :premises (@p8) :args ((@list @t11 @t18 @t11))) % 0.38/0.59 (step @p28 :rule instantiate :premises (@p8) :args ((@list tptp.b2 tptp.b2 @t19))) % 0.38/0.59 (step @p29 :rule instantiate :premises (@p3) :args ((@list tptp.b2 tptp.a2))) % 0.38/0.59 (step @p30 :rule instantiate :premises (@p8) :args ((@list tptp.b2 tptp.b2 @t20))) % 0.38/0.59 (step @p31 :rule instantiate :premises (@p8) :args ((@list tptp.a2 tptp.a2 tptp.a2))) % 0.38/0.59 (step @p32 :rule instantiate :premises (@p8) :args ((@list @t11 @t11 tptp.a2))) % 0.38/0.59 (step @p33 :rule instantiate :premises (@p2) :args ((@list @t9 tptp.a2 tptp.a2))) % 0.38/0.59 (assume-push @p127 @t22) % 0.38/0.59 (assume-push @p128 @t24) % 0.38/0.59 (assume-push @p129 @t25) % 0.38/0.59 (assume-push @p130 @t16) % 0.38/0.59 (assume-push @p131 @t26) % 0.38/0.59 (assume-push @p132 @t28) % 0.38/0.59 (assume-push @p133 @t30) % 0.38/0.59 (assume-push @p134 @t32) % 0.38/0.59 (assume-push @p135 @t34) % 0.38/0.59 (assume-push @p136 @t35) % 0.38/0.59 (assume-push @p137 @t36) % 0.38/0.59 (assume-push @p138 @t38) % 0.38/0.59 (assume-push @p139 @t39) % 0.38/0.59 (assume-push @p140 @t40) % 0.38/0.59 (assume-push @p141 @t44) % 0.38/0.59 (assume-push @p142 @t45) % 0.38/0.59 (step @p50 :rule symm :premises (@p33)) % 0.38/0.59 (step @p51 :rule refl :args (tptp.a2)) % 0.38/0.59 (step @p52 :rule symm :premises (@p30)) % 0.38/0.59 (step @p53 :rule symm :premises (@p23)) % 0.38/0.59 (step @p54 :rule symm :premises (@p11)) % 0.38/0.59 (step @p55 :rule cong :premises (@p9 @p9) :args (@t11)) % 0.38/0.59 (step @p56 :rule refl :args (tptp.b2)) % 0.38/0.59 (step @p57 :rule cong :premises (@p56 @p55) :args (@t17)) % 0.38/0.59 (step @p58 :rule trans :premises (@p57 @p54)) % 0.38/0.59 (step @p16 :rule instantiate :premises (@p3) :args (@t15)) % 0.38/0.59 (step @p59 :rule symm :premises (@p26)) % 0.38/0.59 (step @p60 :rule trans :premises (@p59 @p16)) % 0.38/0.59 (step @p61 :rule cong :premises (@p60 @p58) :args (@t46)) % 0.38/0.59 (step @p62 :rule trans :premises (@p61 @p53 @p29)) % 0.38/0.59 (step @p63 :rule symm :premises (@p27)) % 0.38/0.59 (step @p64 :rule cong :premises (@p24 @p24) :args (@t11)) % 0.38/0.59 (step @p65 :rule refl :args (@t11)) % 0.38/0.59 (step @p66 :rule cong :premises (@p65 @p64) :args (@t12)) % 0.38/0.59 (step @p67 :rule trans :premises (@p66 @p63)) % 0.38/0.59 (step @p68 :rule cong :premises (@p67 @p62) :args ((tptp.divide @t12 @t46))) % 0.38/0.59 (step @p69 :rule symm :premises (@p61)) % 0.38/0.59 (step @p70 :rule symm :premises (@p10)) % 0.38/0.59 (step @p71 :rule trans :premises (@p70 @p23 @p69)) % 0.38/0.59 (step @p72 :rule symm :premises (@p67)) % 0.38/0.59 (step @p73 :rule cong :premises (@p72 @p71) :args ((tptp.divide @t11 @t23))) % 0.38/0.59 (step @p74 :rule refl :args (@t12)) % 0.38/0.59 (step @p75 :rule cong :premises (@p74 @p58) :args (@t18)) % 0.38/0.59 (step @p76 :rule trans :premises (@p75 @p53 @p10)) % 0.38/0.59 (step @p77 :rule cong :premises (@p65 @p76) :args (@t29)) % 0.38/0.59 (step @p78 :rule trans :premises (@p24 @p77 @p73 @p68)) % 0.38/0.59 (step @p79 :rule cong :premises (@p56 @p78) :args (@t11)) % 0.38/0.59 (step @p80 :rule trans :premises (@p79 @p52)) % 0.38/0.59 (step @p81 :rule cong :premises (@p80 @p51) :args ((tptp.divide @t11 tptp.a2))) % 0.38/0.59 (step @p82 :rule symm :premises (@p31)) % 0.38/0.59 (step @p83 :rule trans :premises (@p67 @p80)) % 0.38/0.59 (step @p84 :rule cong :premises (@p83 @p80) :args (@t33)) % 0.38/0.59 (step @p85 :rule symm :premises (@p66)) % 0.38/0.59 (step @p86 :rule trans :premises (@p27 @p85 @p21 @p26 @p84)) % 0.38/0.59 (step @p87 :rule cong :premises (@p51 @p86) :args (@t41)) % 0.38/0.59 (step @p88 :rule trans :premises (@p87 @p82)) % 0.38/0.59 (step @p89 :rule cong :premises (@p67 @p88) :args (@t42)) % 0.38/0.59 (step @p90 :rule trans :premises (@p89 @p81)) % 0.38/0.59 (step @p91 :rule symm :premises (@p22)) % 0.38/0.59 (step @p92 :rule trans :premises (@p53 @p10)) % 0.38/0.59 (step @p93 :rule cong :premises (@p53 @p92) :args ((tptp.divide @t27 @t27))) % 0.38/0.59 (step @p94 :rule cong :premises (@p23 @p23) :args (@t19)) % 0.38/0.59 (step @p95 :rule symm :premises (@p28)) % 0.38/0.59 (step @p96 :rule trans :premises (@p75 @p53 @p25)) % 0.38/0.59 (step @p97 :rule cong :premises (@p65 @p96) :args (@t29)) % 0.38/0.59 (step @p98 :rule trans :premises (@p24 @p97)) % 0.38/0.59 (step @p99 :rule cong :premises (@p56 @p98) :args (@t11)) % 0.38/0.59 (step @p100 :rule trans :premises (@p99 @p95 @p94 @p93 @p91)) % 0.38/0.59 (step @p101 :rule cong :premises (@p100 @p90) :args (@t43)) % 0.38/0.59 (step @p102 :rule trans :premises (@p32 @p101 @p50)) % 0.38/0.59 (step-pop @p143 :rule scope :premises (@p102)) % 0.38/0.59 (step-pop @p144 :rule scope :premises (@p143)) % 0.38/0.59 (step-pop @p145 :rule scope :premises (@p144)) % 0.38/0.59 (step-pop @p146 :rule scope :premises (@p145)) % 0.38/0.59 (step-pop @p147 :rule scope :premises (@p146)) % 0.38/0.59 (step-pop @p148 :rule scope :premises (@p147)) % 0.38/0.59 (step-pop @p149 :rule scope :premises (@p148)) % 0.38/0.59 (step-pop @p150 :rule scope :premises (@p149)) % 0.38/0.59 (step-pop @p151 :rule scope :premises (@p150)) % 0.38/0.59 (step-pop @p152 :rule scope :premises (@p151)) % 0.38/0.59 (step-pop @p153 :rule scope :premises (@p152)) % 0.38/0.59 (step-pop @p154 :rule scope :premises (@p153)) % 0.38/0.59 (step-pop @p155 :rule scope :premises (@p154)) % 0.38/0.59 (step-pop @p156 :rule scope :premises (@p155)) % 0.38/0.59 (step-pop @p157 :rule scope :premises (@p156)) % 0.38/0.59 (step-pop @p158 :rule scope :premises (@p157)) % 0.38/0.59 (step @p103 :rule process_scope :premises (@p158) :args (@t47)) % 0.38/0.59 (step @p120 :rule implies_elim :premises (@p103)) % 0.38/0.59 (step @p121 :rule cnf_and_neg :args (@t48)) % 0.38/0.59 (step @p122 :rule resolution :premises (@p121 @p120) :args (true @t48)) % 0.38/0.59 (step @p123 :rule reordering :premises (@p122) :args ((or @t47 (not @t22) (not @t24) (not @t25) (not @t16) (not @t26) (not @t28) (not @t30) (not @t32) (not @t34) (not @t35) (not @t36) (not @t38) (not @t39) (not @t40) (not @t44) (not @t45)))) % 0.38/0.59 (step @p124 false :rule chain_m_resolution :premises (@p123 @p33 @p32 @p31 @p30 @p29 @p28 @p27 @p26 @p25 @p24 @p23 @p22 @p21 @p11 @p10 @p9 @p5) :args (false (@list false false false false false false false false false false false false false false false false true) (@list @t45 @t44 @t40 @t39 @t38 @t36 @t35 @t34 @t32 @t30 @t28 @t26 @t16 @t25 @t24 @t22 @t47))) % 0.38/0.59 ) % 0.38/0.59 % SZS output end Proof % 0.38/0.59 % cvc5 exiting %------------------------------------------------------------------------------