%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GRP569-1 : 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 : n004.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 08:20:56 AM UTC 2026 % Result : Unsatisfiable 0.28s 0.53s % Output : Proof 0.28s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GRP569-1 : 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 % 0.17/0.33 % Computer : n004.cluster.edu % 0.17/0.33 % Model : x86_64 x86_64 % 0.17/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.33 % Memory : 8042.1875MB % 0.17/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.33 % CPULimit : 300 % 0.17/0.33 % WCLimit : 300 % 0.17/0.33 % DateTime : Tue Jun 2 01:17:07 EDT 2026 % 0.17/0.33 % CPUTime : % 0.28/0.47 %----Proving TF0_NAR, FOF, or CNF % 0.28/0.49 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.28/0.53 % SZS status Unsatisfiable % 0.28/0.53 % SZS output start Proof % 0.28/0.53 ( % 0.28/0.53 (declare-sort $$unsorted 0) % 0.28/0.53 (declare-const tptp.inverse (-> $$unsorted $$unsorted)) % 0.28/0.53 (declare-const tptp.multiply (-> $$unsorted $$unsorted $$unsorted)) % 0.28/0.53 (declare-const tptp.double_divide (-> $$unsorted $$unsorted $$unsorted)) % 0.28/0.53 (declare-const tptp.a1 $$unsorted) % 0.28/0.53 (declare-const tptp.identity $$unsorted) % 0.28/0.53 (define @t1 () (@var "B" $$unsorted)) % 0.28/0.53 (define @t2 () (tptp.double_divide tptp.identity tptp.identity)) % 0.28/0.53 (define @t3 () (@var "C" $$unsorted)) % 0.28/0.53 (define @t4 () (@var "A" $$unsorted)) % 0.28/0.53 (define @t5 () (tptp.double_divide (tptp.double_divide @t4 (tptp.double_divide (tptp.double_divide @t1 (tptp.double_divide @t4 @t3)) (tptp.double_divide @t3 tptp.identity))) @t2)) % 0.28/0.53 (define @t6 () (forall (@list @t4 @t1 @t3) (= @t5 @t1))) % 0.28/0.53 (define @t7 () (tptp.inverse @t4)) % 0.28/0.53 (define @t8 () (@list @t4)) % 0.28/0.53 (define @t9 () (forall @t8 (= @t7 (tptp.double_divide @t4 tptp.identity)))) % 0.28/0.53 (define @t10 () (tptp.inverse tptp.a1)) % 0.28/0.53 (define @t11 () (tptp.multiply @t10 tptp.a1)) % 0.28/0.53 (define @t12 () (@list tptp.a1)) % 0.28/0.53 (define @t13 () (tptp.double_divide tptp.a1 @t10)) % 0.28/0.53 (define @t14 () (tptp.inverse @t13)) % 0.28/0.53 (define @t15 () (tptp.double_divide @t13 tptp.identity)) % 0.28/0.53 (define @t16 () (= @t14 @t15)) % 0.28/0.53 (define @t17 () (@list @t13)) % 0.28/0.53 (define @t18 () (= @t15 @t14)) % 0.28/0.53 (define @t19 () (tptp.double_divide @t13 @t13)) % 0.28/0.53 (define @t20 () (tptp.double_divide tptp.a1 (tptp.double_divide @t19 (tptp.double_divide @t10 tptp.identity)))) % 0.28/0.53 (define @t21 () (tptp.double_divide tptp.a1 tptp.identity)) % 0.28/0.53 (define @t22 () (tptp.double_divide tptp.a1 @t21)) % 0.28/0.53 (define @t23 () (tptp.double_divide @t2 tptp.identity)) % 0.28/0.53 (define @t24 () (tptp.double_divide @t20 @t2)) % 0.28/0.53 (define @t25 () (tptp.double_divide @t20 (tptp.double_divide (tptp.double_divide @t15 @t24) @t23))) % 0.28/0.53 (define @t26 () (tptp.double_divide @t22 @t15)) % 0.28/0.53 (define @t27 () (tptp.double_divide @t26 @t2)) % 0.28/0.53 (define @t28 () (tptp.double_divide @t13 @t27)) % 0.28/0.53 (define @t29 () (= @t11 @t15)) % 0.28/0.53 (define @t30 () (= @t10 @t21)) % 0.28/0.53 (define @t31 () (= tptp.identity @t13)) % 0.28/0.53 (define @t32 () (= @t13 @t24)) % 0.28/0.53 (define @t33 () (tptp.double_divide @t20 (tptp.double_divide (tptp.double_divide @t13 @t24) @t23))) % 0.28/0.53 (define @t34 () (= @t13 (tptp.double_divide @t33 @t2))) % 0.28/0.53 (define @t35 () (tptp.double_divide @t28 @t2)) % 0.28/0.53 (define @t36 () (= @t22 @t35)) % 0.28/0.53 (define @t37 () (tptp.double_divide @t25 @t2)) % 0.28/0.53 (define @t38 () (= @t15 @t37)) % 0.28/0.53 (define @t39 () (= tptp.identity (tptp.double_divide @t13 @t14))) % 0.28/0.53 (define @t40 () (tptp.double_divide @t22 @t37)) % 0.28/0.53 (define @t41 () (tptp.double_divide @t40 @t23)) % 0.28/0.53 (define @t42 () (tptp.double_divide @t25 @t41)) % 0.28/0.53 (define @t43 () (tptp.double_divide @t42 @t2)) % 0.28/0.53 (define @t44 () (= @t22 @t43)) % 0.28/0.53 (define @t45 () (= @t28 (tptp.double_divide (tptp.double_divide @t25 (tptp.double_divide (tptp.double_divide @t28 @t37) @t23)) @t2))) % 0.28/0.53 (define @t46 () (tptp.double_divide @t20 @t15)) % 0.28/0.53 (define @t47 () (tptp.double_divide @t46 @t2)) % 0.28/0.53 (define @t48 () (tptp.double_divide @t13 @t47)) % 0.28/0.53 (define @t49 () (tptp.double_divide @t33 @t37)) % 0.28/0.53 (define @t50 () (tptp.double_divide @t49 @t23)) % 0.28/0.53 (define @t51 () (tptp.double_divide @t25 @t50)) % 0.28/0.53 (define @t52 () (= tptp.identity @t11)) % 0.28/0.53 (define @t53 () (and @t29 @t30 @t31 @t32 @t18 @t34 @t36 @t38 @t39 @t44 @t45)) % 0.28/0.53 (assume @p1 @t6) % 0.28/0.53 (assume @p2 (forall (@list @t4 @t1) (= (tptp.multiply @t4 @t1) (tptp.double_divide (tptp.double_divide @t1 @t4) tptp.identity)))) % 0.28/0.53 (assume @p3 @t9) % 0.28/0.53 (assume @p4 (forall @t8 (= tptp.identity (tptp.double_divide @t4 @t7)))) % 0.28/0.53 (assume @p5 (not (= @t11 tptp.identity))) % 0.28/0.53 (step @p6 :rule symm :premises (@p5)) % 0.28/0.53 (step @p7 :rule instantiate :premises (@p2) :args ((@list @t10 tptp.a1))) % 0.28/0.53 (step @p8 :rule instantiate :premises (@p3) :args (@t12)) % 0.28/0.53 (step @p9 :rule instantiate :premises (@p4) :args (@t12)) % 0.28/0.53 (step @p10 :rule eq-symm :args (@t5 @t1)) % 0.28/0.53 (step @p11 :rule cong :premises (@p10) :args (@t6)) % 0.28/0.53 (step @p12 :rule eq_resolve :premises (@p1 @p11)) % 0.28/0.53 (step @p13 :rule instantiate :premises (@p12) :args ((@list tptp.a1 @t13 @t10))) % 0.28/0.53 (step @p14 :rule eq-symm :args (@t14 @t15)) % 0.28/0.53 (step @p15 :rule refl :args (@t9)) % 0.28/0.53 (step @p16 :rule cong :premises (@p15 @p14) :args ((=> @t9 @t16))) % 0.28/0.53 (assume-push @p119 @t9) % 0.28/0.53 (step @p18 :rule instantiate :premises (@p3) :args (@t17)) % 0.28/0.53 (step-pop @p120 :rule scope :premises (@p18)) % 0.28/0.53 (step @p19 :rule process_scope :premises (@p120) :args (@t16)) % 0.28/0.53 (step @p21 :rule eq_resolve :premises (@p19 @p16)) % 0.28/0.53 (step @p22 :rule implies_elim :premises (@p21)) % 0.28/0.53 (step @p23 :rule chain_m_resolution :premises (@p22 @p3) :args (@t18 (@list false) (@list @t9))) % 0.28/0.53 (step @p24 :rule instantiate :premises (@p12) :args ((@list @t20 @t13 @t2))) % 0.28/0.53 (step @p25 :rule instantiate :premises (@p12) :args ((@list @t13 @t22 tptp.identity))) % 0.28/0.53 (step @p26 :rule instantiate :premises (@p12) :args ((@list @t20 @t15 @t2))) % 0.28/0.53 (step @p27 :rule instantiate :premises (@p4) :args (@t17)) % 0.28/0.53 (step @p28 :rule instantiate :premises (@p12) :args ((@list @t25 @t22 @t2))) % 0.28/0.53 (step @p29 :rule instantiate :premises (@p12) :args ((@list @t25 @t28 @t2))) % 0.28/0.53 (assume-push @p121 @t29) % 0.28/0.53 (assume-push @p122 @t30) % 0.28/0.53 (assume-push @p123 @t31) % 0.28/0.53 (assume-push @p124 @t32) % 0.28/0.53 (assume-push @p125 @t18) % 0.28/0.53 (assume-push @p126 @t34) % 0.28/0.53 (assume-push @p127 @t36) % 0.28/0.53 (assume-push @p128 @t38) % 0.28/0.53 (assume-push @p129 @t39) % 0.28/0.53 (assume-push @p130 @t44) % 0.28/0.53 (assume-push @p131 @t45) % 0.28/0.53 (step @p41 :rule symm :premises (@p7)) % 0.28/0.53 (step @p42 :rule refl :args (tptp.identity)) % 0.28/0.53 (step @p43 :rule cong :premises (@p9 @p42) :args (@t2)) % 0.28/0.53 (step @p44 :rule symm :premises (@p27)) % 0.28/0.53 (step @p45 :rule trans :premises (@p43 @p23)) % 0.28/0.53 (step @p46 :rule symm :premises (@p8)) % 0.28/0.53 (step @p47 :rule refl :args (tptp.a1)) % 0.28/0.53 (step @p48 :rule cong :premises (@p47 @p46) :args (@t22)) % 0.28/0.53 (step @p49 :rule cong :premises (@p48 @p45) :args ((tptp.double_divide @t22 @t2))) % 0.28/0.53 (step @p50 :rule refl :args (@t2)) % 0.28/0.53 (step @p51 :rule symm :premises (@p48)) % 0.28/0.53 (step @p52 :rule symm :premises (@p43)) % 0.28/0.53 (step @p53 :rule refl :args (@t22)) % 0.28/0.53 (step @p54 :rule cong :premises (@p53 @p52) :args (@t26)) % 0.28/0.53 (step @p55 :rule trans :premises (@p54 @p49 @p44 @p9)) % 0.28/0.53 (step @p56 :rule trans :premises (@p55 @p51)) % 0.28/0.53 (step @p57 :rule cong :premises (@p56 @p50) :args (@t27)) % 0.28/0.53 (step @p58 :rule trans :premises (@p57 @p49 @p44)) % 0.28/0.53 (step @p59 :rule symm :premises (@p9)) % 0.28/0.53 (step @p60 :rule cong :premises (@p59 @p58) :args (@t28)) % 0.28/0.53 (step @p61 :rule symm :premises (@p29)) % 0.28/0.53 (step @p62 :rule refl :args (@t23)) % 0.28/0.53 (step @p63 :rule trans :premises (@p43 @p26)) % 0.28/0.53 (step @p64 :rule symm :premises (@p60)) % 0.28/0.53 (step @p65 :rule cong :premises (@p59 @p59) :args (@t19)) % 0.28/0.53 (step @p66 :rule trans :premises (@p65 @p64)) % 0.28/0.53 (step @p67 :rule symm :premises (@p65)) % 0.28/0.53 (step @p68 :rule symm :premises (@p13)) % 0.28/0.53 (step @p69 :rule refl :args (@t20)) % 0.28/0.53 (step @p70 :rule cong :premises (@p69 @p52) :args (@t46)) % 0.28/0.53 (step @p71 :rule trans :premises (@p70 @p68)) % 0.28/0.53 (step @p72 :rule trans :premises (@p71 @p51)) % 0.28/0.53 (step @p73 :rule cong :premises (@p72 @p50) :args (@t47)) % 0.28/0.53 (step @p74 :rule trans :premises (@p73 @p49 @p44)) % 0.28/0.53 (step @p75 :rule cong :premises (@p59 @p74) :args (@t48)) % 0.28/0.53 (step @p76 :rule trans :premises (@p75 @p67)) % 0.28/0.53 (step @p77 :rule trans :premises (@p76 @p66)) % 0.28/0.53 (step @p78 :rule cong :premises (@p77 @p63) :args ((tptp.double_divide @t48 @t2))) % 0.28/0.53 (step @p79 :rule symm :premises (@p77)) % 0.28/0.53 (step @p80 :rule cong :premises (@p79 @p50) :args (@t35)) % 0.28/0.53 (step @p81 :rule trans :premises (@p51 @p25 @p80 @p78)) % 0.28/0.53 (step @p82 :rule symm :premises (@p63)) % 0.28/0.53 (step @p83 :rule cong :premises (@p53 @p82) :args (@t40)) % 0.28/0.53 (step @p84 :rule trans :premises (@p83 @p49 @p44 @p9)) % 0.28/0.53 (step @p85 :rule trans :premises (@p84 @p81)) % 0.28/0.53 (step @p86 :rule cong :premises (@p85 @p62) :args (@t41)) % 0.28/0.53 (step @p87 :rule refl :args (@t25)) % 0.28/0.53 (step @p88 :rule cong :premises (@p87 @p86) :args (@t42)) % 0.28/0.53 (step @p89 :rule symm :premises (@p84)) % 0.28/0.53 (step @p90 :rule symm :premises (@p24)) % 0.28/0.53 (step @p91 :rule refl :args (@t33)) % 0.28/0.53 (step @p92 :rule cong :premises (@p91 @p82) :args (@t49)) % 0.28/0.53 (step @p93 :rule trans :premises (@p92 @p90)) % 0.28/0.53 (step @p94 :rule trans :premises (@p93 @p89)) % 0.28/0.53 (step @p95 :rule cong :premises (@p94 @p62) :args (@t50)) % 0.28/0.53 (step @p96 :rule cong :premises (@p87 @p95) :args (@t51)) % 0.28/0.53 (step @p97 :rule trans :premises (@p96 @p88)) % 0.28/0.53 (step @p98 :rule cong :premises (@p97 @p50) :args ((tptp.double_divide @t51 @t2))) % 0.28/0.53 (step @p99 :rule symm :premises (@p96)) % 0.28/0.53 (step @p100 :rule cong :premises (@p99 @p50) :args (@t43)) % 0.28/0.53 (step @p101 :rule trans :premises (@p9 @p51 @p28 @p100 @p98 @p61 @p60 @p43 @p41)) % 0.28/0.53 (step-pop @p132 :rule scope :premises (@p101)) % 0.28/0.53 (step-pop @p133 :rule scope :premises (@p132)) % 0.28/0.53 (step-pop @p134 :rule scope :premises (@p133)) % 0.28/0.53 (step-pop @p135 :rule scope :premises (@p134)) % 0.28/0.53 (step-pop @p136 :rule scope :premises (@p135)) % 0.28/0.53 (step-pop @p137 :rule scope :premises (@p136)) % 0.28/0.53 (step-pop @p138 :rule scope :premises (@p137)) % 0.28/0.53 (step-pop @p139 :rule scope :premises (@p138)) % 0.28/0.53 (step-pop @p140 :rule scope :premises (@p139)) % 0.28/0.53 (step-pop @p141 :rule scope :premises (@p140)) % 0.28/0.53 (step-pop @p142 :rule scope :premises (@p141)) % 0.28/0.53 (step @p102 :rule process_scope :premises (@p142) :args (@t52)) % 0.28/0.53 (step @p114 :rule implies_elim :premises (@p102)) % 0.28/0.53 (step @p115 :rule cnf_and_neg :args (@t53)) % 0.28/0.53 (step @p116 :rule resolution :premises (@p115 @p114) :args (true @t53)) % 0.28/0.53 (step @p117 :rule reordering :premises (@p116) :args ((or @t52 (not @t29) (not @t30) (not @t31) (not @t32) (not @t18) (not @t34) (not @t36) (not @t38) (not @t39) (not @t44) (not @t45)))) % 0.28/0.53 (step @p118 false :rule chain_m_resolution :premises (@p117 @p29 @p28 @p27 @p26 @p25 @p24 @p23 @p13 @p9 @p8 @p7 @p6) :args (false (@list false false false false false false false false false false false true) (@list @t45 @t44 @t39 @t38 @t36 @t34 @t18 @t32 @t31 @t30 @t29 @t52))) % 0.28/0.53 ) % 0.28/0.53 % SZS output end Proof % 0.28/0.53 % cvc5 exiting %------------------------------------------------------------------------------