%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GRP550-1 : 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 : n008.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 08:20:55 AM UTC 2026 % Result : Unsatisfiable 0.33s 0.56s % Output : Proof 0.33s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GRP550-1 : TPTP v9.2.1. Released v2.6.0. % 0.13/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n008.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 01:16:33 EDT 2026 % 0.17/0.34 % CPUTime : % 0.33/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.33/0.51 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.33/0.56 % SZS status Unsatisfiable % 0.33/0.56 % SZS output start Proof % 0.33/0.57 ( % 0.33/0.57 (declare-sort $$unsorted 0) % 0.33/0.57 (declare-const tptp.b2 $$unsorted) % 0.33/0.57 (declare-const tptp.inverse (-> $$unsorted $$unsorted)) % 0.33/0.57 (declare-const tptp.multiply (-> $$unsorted $$unsorted $$unsorted)) % 0.33/0.57 (declare-const tptp.a2 $$unsorted) % 0.33/0.57 (declare-const tptp.identity $$unsorted) % 0.33/0.57 (declare-const tptp.divide (-> $$unsorted $$unsorted $$unsorted)) % 0.33/0.57 (define @t1 () (@var "C" $$unsorted)) % 0.33/0.57 (define @t2 () (@var "B" $$unsorted)) % 0.33/0.57 (define @t3 () (@var "A" $$unsorted)) % 0.33/0.57 (define @t4 () (tptp.divide tptp.identity @t3)) % 0.33/0.57 (define @t5 () (tptp.divide @t4 (tptp.divide (tptp.divide (tptp.divide @t2 @t3) @t1) @t2))) % 0.33/0.57 (define @t6 () (forall (@list @t3 @t2 @t1) (= @t5 @t1))) % 0.33/0.57 (define @t7 () (tptp.inverse @t3)) % 0.33/0.57 (define @t8 () (@list @t3)) % 0.33/0.57 (define @t9 () (forall @t8 (= @t7 @t4))) % 0.33/0.57 (define @t10 () (tptp.inverse tptp.b2)) % 0.33/0.57 (define @t11 () (tptp.multiply @t10 tptp.b2)) % 0.33/0.57 (define @t12 () (tptp.multiply @t11 tptp.a2)) % 0.33/0.57 (define @t13 () (tptp.divide tptp.identity tptp.b2)) % 0.33/0.57 (define @t14 () (forall @t8 (= @t4 @t7))) % 0.33/0.57 (define @t15 () (= @t13 @t10)) % 0.33/0.57 (define @t16 () (@list tptp.b2)) % 0.33/0.57 (define @t17 () (= @t10 @t13)) % 0.33/0.57 (define @t18 () (tptp.divide tptp.identity tptp.a2)) % 0.33/0.57 (define @t19 () (tptp.divide @t10 @t13)) % 0.33/0.57 (define @t20 () (tptp.divide @t19 @t18)) % 0.33/0.57 (define @t21 () (tptp.divide @t20 @t10)) % 0.33/0.57 (define @t22 () (tptp.divide @t13 @t13)) % 0.33/0.57 (define @t23 () (tptp.divide @t11 @t18)) % 0.33/0.57 (define @t24 () (tptp.divide @t23 @t10)) % 0.33/0.57 (define @t25 () (tptp.divide @t24 @t11)) % 0.33/0.57 (define @t26 () (tptp.divide tptp.identity @t13)) % 0.33/0.57 (define @t27 () (tptp.divide @t26 @t21)) % 0.33/0.57 (define @t28 () (tptp.divide @t27 tptp.identity)) % 0.33/0.57 (define @t29 () (= @t11 @t19)) % 0.33/0.57 (define @t30 () (= @t12 @t23)) % 0.33/0.57 (define @t31 () (tptp.divide @t22 tptp.identity)) % 0.33/0.57 (define @t32 () (= @t13 (tptp.divide @t13 @t31))) % 0.33/0.57 (define @t33 () (= @t18 @t27)) % 0.33/0.57 (define @t34 () (= tptp.identity @t22)) % 0.33/0.57 (define @t35 () (tptp.divide tptp.identity @t18)) % 0.33/0.57 (define @t36 () (= @t10 (tptp.divide @t35 @t25))) % 0.33/0.57 (define @t37 () (tptp.divide @t26 @t28)) % 0.33/0.57 (define @t38 () (= @t21 @t37)) % 0.33/0.57 (define @t39 () (tptp.divide tptp.identity tptp.identity)) % 0.33/0.57 (define @t40 () (= tptp.identity @t39)) % 0.33/0.57 (define @t41 () (tptp.divide @t31 tptp.a2)) % 0.33/0.57 (define @t42 () (tptp.divide @t41 @t22)) % 0.33/0.57 (define @t43 () (tptp.divide @t39 @t42)) % 0.33/0.57 (define @t44 () (= tptp.a2 @t43)) % 0.33/0.57 (define @t45 () (tptp.divide @t23 @t25)) % 0.33/0.57 (define @t46 () (tptp.divide @t45 @t11)) % 0.33/0.57 (define @t47 () (tptp.divide @t35 @t46)) % 0.33/0.57 (define @t48 () (= @t25 @t47)) % 0.33/0.57 (define @t49 () (tptp.divide @t37 tptp.identity)) % 0.33/0.57 (define @t50 () (tptp.divide @t26 @t49)) % 0.33/0.57 (define @t51 () (= @t28 @t50)) % 0.33/0.57 (define @t52 () (= tptp.a2 @t12)) % 0.33/0.57 (define @t53 () (and @t29 @t30 @t17 @t32 @t33 @t34 @t36 @t38 @t40 @t44 @t48 @t51)) % 0.33/0.57 (assume @p1 @t6) % 0.33/0.57 (assume @p2 (forall (@list @t3 @t2) (= (tptp.multiply @t3 @t2) (tptp.divide @t3 (tptp.divide tptp.identity @t2))))) % 0.33/0.57 (assume @p3 @t9) % 0.33/0.57 (assume @p4 (forall @t8 (= tptp.identity (tptp.divide @t3 @t3)))) % 0.33/0.57 (assume @p5 (not (= @t12 tptp.a2))) % 0.33/0.57 (step @p6 :rule symm :premises (@p5)) % 0.33/0.57 (step @p7 :rule instantiate :premises (@p2) :args ((@list @t10 tptp.b2))) % 0.33/0.57 (step @p8 :rule instantiate :premises (@p2) :args ((@list @t11 tptp.a2))) % 0.33/0.57 (step @p9 :rule eq-symm :args (@t7 @t4)) % 0.33/0.57 (step @p10 :rule cong :premises (@p9) :args (@t9)) % 0.33/0.57 (step @p11 :rule eq_resolve :premises (@p3 @p10)) % 0.33/0.57 (step @p12 :rule eq-symm :args (@t13 @t10)) % 0.33/0.57 (step @p13 :rule refl :args (@t14)) % 0.33/0.57 (step @p14 :rule cong :premises (@p13 @p12) :args ((=> @t14 @t15))) % 0.33/0.57 (assume-push @p120 @t14) % 0.33/0.57 (step @p16 :rule instantiate :premises (@p11) :args (@t16)) % 0.33/0.57 (step-pop @p121 :rule scope :premises (@p16)) % 0.33/0.57 (step @p17 :rule process_scope :premises (@p121) :args (@t15)) % 0.33/0.57 (step @p19 :rule eq_resolve :premises (@p17 @p14)) % 0.33/0.57 (step @p20 :rule implies_elim :premises (@p19)) % 0.33/0.57 (step @p21 :rule chain_m_resolution :premises (@p20 @p11) :args (@t17 (@list false) (@list @t14))) % 0.33/0.57 (step @p22 :rule eq-symm :args (@t5 @t1)) % 0.33/0.57 (step @p23 :rule cong :premises (@p22) :args (@t6)) % 0.33/0.57 (step @p24 :rule eq_resolve :premises (@p1 @p23)) % 0.33/0.57 (step @p25 :rule instantiate :premises (@p24) :args ((@list tptp.b2 tptp.identity @t13))) % 0.33/0.57 (step @p26 :rule instantiate :premises (@p24) :args ((@list @t13 @t10 @t18))) % 0.33/0.57 (step @p27 :rule instantiate :premises (@p4) :args ((@list @t13))) % 0.33/0.57 (step @p28 :rule instantiate :premises (@p24) :args ((@list @t18 @t11 @t10))) % 0.33/0.57 (step @p29 :rule instantiate :premises (@p24) :args ((@list @t13 tptp.identity @t21))) % 0.33/0.57 (step @p30 :rule instantiate :premises (@p4) :args ((@list tptp.identity))) % 0.33/0.57 (step @p31 :rule instantiate :premises (@p24) :args ((@list tptp.identity @t22 tptp.a2))) % 0.33/0.57 (step @p32 :rule instantiate :premises (@p24) :args ((@list @t18 @t11 @t25))) % 0.33/0.57 (step @p33 :rule instantiate :premises (@p24) :args ((@list @t13 tptp.identity @t28))) % 0.33/0.57 (assume-push @p122 @t29) % 0.33/0.57 (assume-push @p123 @t30) % 0.33/0.57 (assume-push @p124 @t17) % 0.33/0.57 (assume-push @p125 @t32) % 0.33/0.57 (assume-push @p126 @t33) % 0.33/0.57 (assume-push @p127 @t34) % 0.33/0.57 (assume-push @p128 @t36) % 0.33/0.57 (assume-push @p129 @t38) % 0.33/0.57 (assume-push @p130 @t40) % 0.33/0.57 (assume-push @p131 @t44) % 0.33/0.57 (assume-push @p132 @t48) % 0.33/0.57 (assume-push @p133 @t51) % 0.33/0.57 (step @p46 :rule symm :premises (@p8)) % 0.33/0.57 (step @p47 :rule refl :args (@t18)) % 0.33/0.57 (step @p48 :rule symm :premises (@p7)) % 0.33/0.57 (step @p49 :rule cong :premises (@p48 @p47) :args (@t20)) % 0.33/0.57 (step @p50 :rule symm :premises (@p26)) % 0.33/0.57 (step @p51 :rule refl :args (@t10)) % 0.33/0.57 (step @p52 :rule symm :premises (@p49)) % 0.33/0.57 (step @p53 :rule cong :premises (@p52 @p51) :args (@t24)) % 0.33/0.57 (step @p16 :rule instantiate :premises (@p11) :args (@t16)) % 0.33/0.57 (step @p54 :rule symm :premises (@p25)) % 0.33/0.57 (step @p55 :rule refl :args (tptp.identity)) % 0.33/0.57 (step @p56 :rule cong :premises (@p27 @p55) :args (@t39)) % 0.33/0.57 (step @p57 :rule refl :args (@t13)) % 0.33/0.57 (step @p58 :rule cong :premises (@p57 @p56) :args ((tptp.divide @t13 @t39))) % 0.33/0.57 (step @p59 :rule symm :premises (@p27)) % 0.33/0.57 (step @p60 :rule cong :premises (@p21 @p57) :args (@t19)) % 0.33/0.57 (step @p61 :rule trans :premises (@p7 @p60 @p59 @p30)) % 0.33/0.57 (step @p62 :rule symm :premises (@p28)) % 0.33/0.57 (step @p63 :rule refl :args (@t25)) % 0.33/0.57 (step @p64 :rule symm :premises (@p60)) % 0.33/0.57 (step @p65 :rule trans :premises (@p27 @p64 @p48)) % 0.33/0.57 (step @p66 :rule symm :premises (@p65)) % 0.33/0.57 (step @p67 :rule trans :premises (@p48 @p66)) % 0.33/0.57 (step @p68 :rule cong :premises (@p67 @p47) :args (@t20)) % 0.33/0.57 (step @p69 :rule trans :premises (@p52 @p68)) % 0.33/0.57 (step @p70 :rule cong :premises (@p69 @p63) :args (@t45)) % 0.33/0.57 (step @p71 :rule trans :premises (@p70 @p62)) % 0.33/0.57 (step @p72 :rule trans :premises (@p71 @p21)) % 0.33/0.57 (step @p73 :rule cong :premises (@p72 @p61) :args (@t46)) % 0.33/0.57 (step @p74 :rule trans :premises (@p73 @p58 @p54 @p16)) % 0.33/0.57 (step @p75 :rule symm :premises (@p69)) % 0.33/0.57 (step @p76 :rule cong :premises (@p75 @p74) :args (@t47)) % 0.33/0.57 (step @p77 :rule refl :args (@t11)) % 0.33/0.57 (step @p78 :rule symm :premises (@p53)) % 0.33/0.57 (step @p79 :rule cong :premises (@p78 @p77) :args ((tptp.divide @t21 @t11))) % 0.33/0.57 (step @p80 :rule symm :premises (@p29)) % 0.33/0.57 (step @p81 :rule cong :premises (@p80 @p65) :args (@t49)) % 0.33/0.57 (step @p82 :rule trans :premises (@p81 @p79 @p32 @p76 @p53)) % 0.33/0.57 (step @p83 :rule refl :args (@t26)) % 0.33/0.57 (step @p84 :rule cong :premises (@p83 @p82) :args (@t50)) % 0.33/0.57 (step @p85 :rule refl :args (tptp.a2)) % 0.33/0.57 (step @p86 :rule cong :premises (@p67 @p85) :args ((tptp.divide @t19 tptp.a2))) % 0.33/0.57 (step @p87 :rule trans :premises (@p86 @p26)) % 0.33/0.57 (step @p88 :rule symm :premises (@p86)) % 0.33/0.57 (step @p89 :rule symm :premises (@p30)) % 0.33/0.57 (step @p90 :rule symm :premises (@p56)) % 0.33/0.57 (step @p91 :rule trans :premises (@p90 @p89 @p27 @p64 @p48)) % 0.33/0.57 (step @p92 :rule trans :premises (@p91 @p66)) % 0.33/0.57 (step @p93 :rule cong :premises (@p92 @p85) :args (@t41)) % 0.33/0.57 (step @p94 :rule trans :premises (@p93 @p88)) % 0.33/0.57 (step @p95 :rule trans :premises (@p94 @p87)) % 0.33/0.57 (step @p96 :rule cong :premises (@p95 @p59) :args (@t42)) % 0.33/0.57 (step @p97 :rule trans :premises (@p96 @p33 @p84 @p50)) % 0.33/0.57 (step @p98 :rule symm :premises (@p61)) % 0.33/0.57 (step @p99 :rule trans :premises (@p98 @p7)) % 0.33/0.57 (step @p100 :rule cong :premises (@p99 @p97) :args (@t43)) % 0.33/0.57 (step @p101 :rule trans :premises (@p31 @p100 @p49 @p46)) % 0.33/0.57 (step-pop @p134 :rule scope :premises (@p101)) % 0.33/0.57 (step-pop @p135 :rule scope :premises (@p134)) % 0.33/0.57 (step-pop @p136 :rule scope :premises (@p135)) % 0.33/0.57 (step-pop @p137 :rule scope :premises (@p136)) % 0.33/0.57 (step-pop @p138 :rule scope :premises (@p137)) % 0.33/0.57 (step-pop @p139 :rule scope :premises (@p138)) % 0.33/0.57 (step-pop @p140 :rule scope :premises (@p139)) % 0.33/0.57 (step-pop @p141 :rule scope :premises (@p140)) % 0.33/0.57 (step-pop @p142 :rule scope :premises (@p141)) % 0.33/0.57 (step-pop @p143 :rule scope :premises (@p142)) % 0.33/0.57 (step-pop @p144 :rule scope :premises (@p143)) % 0.33/0.57 (step-pop @p145 :rule scope :premises (@p144)) % 0.33/0.57 (step @p102 :rule process_scope :premises (@p145) :args (@t52)) % 0.33/0.57 (step @p115 :rule implies_elim :premises (@p102)) % 0.33/0.57 (step @p116 :rule cnf_and_neg :args (@t53)) % 0.33/0.57 (step @p117 :rule resolution :premises (@p116 @p115) :args (true @t53)) % 0.33/0.57 (step @p118 :rule reordering :premises (@p117) :args ((or @t52 (not @t29) (not @t30) (not @t17) (not @t32) (not @t33) (not @t34) (not @t36) (not @t38) (not @t40) (not @t44) (not @t48) (not @t51)))) % 0.33/0.57 (step @p119 false :rule chain_m_resolution :premises (@p118 @p33 @p32 @p31 @p30 @p29 @p28 @p27 @p26 @p25 @p21 @p8 @p7 @p6) :args (false (@list false false false false false false false false false false false false true) (@list @t51 @t48 @t44 @t40 @t38 @t36 @t34 @t33 @t32 @t17 @t30 @t29 @t52))) % 0.33/0.57 ) % 0.33/0.57 % SZS output end Proof % 0.33/0.57 % cvc5 exiting %------------------------------------------------------------------------------