%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GRP487-1 : 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 : n017.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 08:20:48 AM UTC 2026 % Result : Unsatisfiable 0.38s 0.57s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GRP487-1 : TPTP v9.2.1. Released v2.6.0. % 0.00/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n017.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 01:10:16 EDT 2026 % 0.17/0.34 % CPUTime : % 0.29/0.48 %----Proving TF0_NAR, FOF, or CNF % 0.29/0.49 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.38/0.57 % SZS status Unsatisfiable % 0.38/0.57 % SZS output start Proof % 0.38/0.58 ( % 0.38/0.58 (declare-sort $$unsorted 0) % 0.38/0.58 (declare-const tptp.a1 $$unsorted) % 0.38/0.58 (declare-const tptp.inverse (-> $$unsorted $$unsorted)) % 0.38/0.58 (declare-const tptp.multiply (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.58 (declare-const tptp.double_divide (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.58 (declare-const tptp.identity $$unsorted) % 0.38/0.58 (define @t1 () (@var "C" $$unsorted)) % 0.38/0.58 (define @t2 () (@var "B" $$unsorted)) % 0.38/0.58 (define @t3 () (@var "A" $$unsorted)) % 0.38/0.58 (define @t4 () (tptp.double_divide @t3 tptp.identity)) % 0.38/0.58 (define @t5 () (tptp.double_divide @t3 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide @t4 (tptp.double_divide @t2 @t1))) @t2) tptp.identity))) % 0.38/0.58 (define @t6 () (forall (@list @t3 @t2 @t1) (= @t5 @t1))) % 0.38/0.58 (define @t7 () (forall (@list @t3 @t2) (= (tptp.multiply @t3 @t2) (tptp.double_divide (tptp.double_divide @t2 @t3) tptp.identity)))) % 0.38/0.58 (define @t8 () (tptp.inverse @t3)) % 0.38/0.58 (define @t9 () (@list @t3)) % 0.38/0.58 (define @t10 () (forall @t9 (= @t8 @t4))) % 0.38/0.58 (define @t11 () (tptp.inverse tptp.a1)) % 0.38/0.58 (define @t12 () (tptp.multiply @t11 tptp.a1)) % 0.38/0.58 (define @t13 () (tptp.double_divide tptp.a1 @t11)) % 0.38/0.58 (define @t14 () (@list @t13)) % 0.38/0.58 (define @t15 () (tptp.double_divide @t13 tptp.identity)) % 0.38/0.58 (define @t16 () (@list @t15)) % 0.38/0.58 (define @t17 () (tptp.inverse @t13)) % 0.38/0.58 (define @t18 () (tptp.double_divide @t15 tptp.identity)) % 0.38/0.58 (define @t19 () (@list @t18)) % 0.38/0.58 (define @t20 () (tptp.inverse @t15)) % 0.38/0.58 (define @t21 () (tptp.double_divide @t13 @t17)) % 0.38/0.58 (define @t22 () (tptp.double_divide tptp.identity (tptp.double_divide @t15 @t21))) % 0.38/0.58 (define @t23 () (tptp.double_divide @t18 @t21)) % 0.38/0.58 (define @t24 () (tptp.double_divide tptp.identity @t23)) % 0.38/0.58 (define @t25 () (tptp.double_divide (tptp.double_divide @t24 @t13) tptp.identity)) % 0.38/0.58 (define @t26 () (tptp.multiply @t13 @t24)) % 0.38/0.58 (define @t27 () (= @t26 @t25)) % 0.38/0.58 (define @t28 () (= @t25 @t26)) % 0.38/0.58 (define @t29 () (= @t12 @t15)) % 0.38/0.58 (define @t30 () (= tptp.identity @t13)) % 0.38/0.58 (define @t31 () (= @t15 @t17)) % 0.38/0.58 (define @t32 () (= @t18 @t20)) % 0.38/0.58 (define @t33 () (= tptp.identity @t21)) % 0.38/0.58 (define @t34 () (= @t17 (tptp.double_divide @t13 (tptp.double_divide (tptp.double_divide @t22 @t13) tptp.identity)))) % 0.38/0.58 (define @t35 () (tptp.double_divide @t15 @t25)) % 0.38/0.58 (define @t36 () (= @t17 @t35)) % 0.38/0.58 (define @t37 () (tptp.inverse @t18)) % 0.38/0.58 (define @t38 () (tptp.double_divide @t18 tptp.identity)) % 0.38/0.58 (define @t39 () (= @t38 @t37)) % 0.38/0.58 (define @t40 () (tptp.double_divide @t15 @t20)) % 0.38/0.58 (define @t41 () (= tptp.identity @t40)) % 0.38/0.58 (define @t42 () (= @t20 (tptp.double_divide @t13 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide @t15 @t40)) @t15) tptp.identity)))) % 0.38/0.58 (define @t43 () (tptp.double_divide @t22 tptp.identity)) % 0.38/0.58 (define @t44 () (tptp.double_divide @t43 @t40)) % 0.38/0.58 (define @t45 () (tptp.double_divide tptp.identity @t44)) % 0.38/0.58 (define @t46 () (tptp.double_divide @t45 @t15)) % 0.38/0.58 (define @t47 () (tptp.double_divide @t46 tptp.identity)) % 0.38/0.58 (define @t48 () (tptp.double_divide @t22 @t47)) % 0.38/0.58 (define @t49 () (= @t20 @t48)) % 0.38/0.58 (define @t50 () (tptp.double_divide @t35 tptp.identity)) % 0.38/0.58 (define @t51 () (= (tptp.multiply @t25 @t15) @t50)) % 0.38/0.58 (define @t52 () (= tptp.identity (tptp.double_divide @t18 @t37))) % 0.38/0.58 (define @t53 () (= @t25 (tptp.double_divide @t13 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide @t15 @t35)) @t15) tptp.identity)))) % 0.38/0.58 (define @t54 () (tptp.double_divide @t18 @t38)) % 0.38/0.58 (define @t55 () (tptp.double_divide tptp.identity @t54)) % 0.38/0.58 (define @t56 () (tptp.double_divide @t55 @t18)) % 0.38/0.58 (define @t57 () (tptp.double_divide @t56 tptp.identity)) % 0.38/0.58 (define @t58 () (tptp.double_divide @t15 @t57)) % 0.38/0.58 (define @t59 () (= tptp.identity @t58)) % 0.38/0.58 (define @t60 () (tptp.double_divide @t15 @t13)) % 0.38/0.58 (define @t61 () (tptp.double_divide @t15 @t18)) % 0.38/0.58 (define @t62 () (tptp.double_divide tptp.identity @t61)) % 0.38/0.58 (define @t63 () (tptp.double_divide @t62 @t15)) % 0.38/0.58 (define @t64 () (tptp.double_divide tptp.identity @t60)) % 0.38/0.58 (define @t65 () (= tptp.identity @t12)) % 0.38/0.58 (define @t66 () (and @t29 @t30 @t31 @t32 @t33 @t34 @t36 @t39 @t41 @t42 @t49 @t51 @t28 @t52 @t53 @t59)) % 0.38/0.58 (assume @p1 @t6) % 0.38/0.58 (assume @p2 @t7) % 0.38/0.58 (assume @p3 @t10) % 0.38/0.58 (assume @p4 (forall @t9 (= tptp.identity (tptp.double_divide @t3 @t8)))) % 0.38/0.58 (assume @p5 (not (= @t12 tptp.identity))) % 0.38/0.58 (step @p6 :rule symm :premises (@p5)) % 0.38/0.58 (step @p7 :rule instantiate :premises (@p2) :args ((@list @t11 tptp.a1))) % 0.38/0.58 (step @p8 :rule instantiate :premises (@p4) :args ((@list tptp.a1))) % 0.38/0.58 (step @p9 :rule eq-symm :args (@t8 @t4)) % 0.38/0.58 (step @p10 :rule cong :premises (@p9) :args (@t10)) % 0.38/0.58 (step @p11 :rule eq_resolve :premises (@p3 @p10)) % 0.38/0.58 (step @p12 :rule instantiate :premises (@p11) :args (@t14)) % 0.38/0.58 (step @p13 :rule instantiate :premises (@p11) :args (@t16)) % 0.38/0.58 (step @p14 :rule instantiate :premises (@p4) :args (@t14)) % 0.38/0.58 (step @p15 :rule eq-symm :args (@t5 @t1)) % 0.38/0.58 (step @p16 :rule cong :premises (@p15) :args (@t6)) % 0.38/0.58 (step @p17 :rule eq_resolve :premises (@p1 @p16)) % 0.38/0.58 (step @p18 :rule instantiate :premises (@p17) :args ((@list @t13 @t13 @t17))) % 0.38/0.58 (step @p19 :rule instantiate :premises (@p17) :args ((@list @t15 @t13 @t17))) % 0.38/0.58 (step @p20 :rule instantiate :premises (@p11) :args (@t19)) % 0.38/0.58 (step @p21 :rule instantiate :premises (@p4) :args (@t16)) % 0.38/0.58 (step @p22 :rule instantiate :premises (@p17) :args ((@list @t13 @t15 @t20))) % 0.38/0.58 (step @p23 :rule instantiate :premises (@p17) :args ((@list @t22 @t15 @t20))) % 0.38/0.58 (step @p24 :rule instantiate :premises (@p2) :args ((@list @t25 @t15))) % 0.38/0.58 (step @p25 :rule eq-symm :args (@t26 @t25)) % 0.38/0.58 (step @p26 :rule refl :args (@t7)) % 0.38/0.58 (step @p27 :rule cong :premises (@p26 @p25) :args ((=> @t7 @t27))) % 0.38/0.58 (assume-push @p148 @t7) % 0.38/0.58 (step @p29 :rule instantiate :premises (@p2) :args ((@list @t13 @t24))) % 0.38/0.58 (step-pop @p149 :rule scope :premises (@p29)) % 0.38/0.58 (step @p30 :rule process_scope :premises (@p149) :args (@t27)) % 0.38/0.58 (step @p32 :rule eq_resolve :premises (@p30 @p27)) % 0.38/0.58 (step @p33 :rule implies_elim :premises (@p32)) % 0.38/0.58 (step @p34 :rule chain_m_resolution :premises (@p33 @p2) :args (@t28 (@list false) (@list @t7))) % 0.38/0.58 (step @p35 :rule instantiate :premises (@p4) :args (@t19)) % 0.38/0.58 (step @p36 :rule instantiate :premises (@p17) :args ((@list @t13 @t15 @t25))) % 0.38/0.58 (step @p37 :rule instantiate :premises (@p17) :args ((@list @t15 @t18 tptp.identity))) % 0.38/0.58 (assume-push @p150 @t29) % 0.38/0.58 (assume-push @p151 @t30) % 0.38/0.58 (assume-push @p152 @t31) % 0.38/0.58 (assume-push @p153 @t32) % 0.38/0.58 (assume-push @p154 @t33) % 0.38/0.58 (assume-push @p155 @t34) % 0.38/0.58 (assume-push @p156 @t36) % 0.38/0.58 (assume-push @p157 @t39) % 0.38/0.58 (assume-push @p158 @t41) % 0.38/0.58 (assume-push @p159 @t42) % 0.38/0.58 (assume-push @p160 @t49) % 0.38/0.58 (assume-push @p161 @t51) % 0.38/0.58 (assume-push @p162 @t28) % 0.38/0.58 (assume-push @p163 @t52) % 0.38/0.58 (assume-push @p164 @t53) % 0.38/0.58 (assume-push @p165 @t59) % 0.38/0.58 (step @p54 :rule symm :premises (@p7)) % 0.38/0.58 (step @p55 :rule symm :premises (@p12)) % 0.38/0.58 (step @p56 :rule symm :premises (@p19)) % 0.38/0.58 (step @p57 :rule symm :premises (@p36)) % 0.38/0.58 (step @p58 :rule refl :args (tptp.identity)) % 0.38/0.58 (step @p59 :rule refl :args (@t15)) % 0.38/0.58 (step @p60 :rule trans :premises (@p12 @p19)) % 0.38/0.58 (step @p61 :rule symm :premises (@p18)) % 0.38/0.58 (step @p62 :rule symm :premises (@p21)) % 0.38/0.58 (step @p63 :rule refl :args (@t22)) % 0.38/0.58 (step @p64 :rule cong :premises (@p63 @p8) :args (@t43)) % 0.38/0.58 (step @p65 :rule cong :premises (@p64 @p62) :args (@t44)) % 0.38/0.58 (step @p66 :rule cong :premises (@p8 @p65) :args (@t45)) % 0.38/0.58 (step @p67 :rule trans :premises (@p66 @p61 @p55)) % 0.38/0.58 (step @p68 :rule cong :premises (@p67 @p60) :args (@t46)) % 0.38/0.58 (step @p69 :rule symm :premises (@p35)) % 0.38/0.58 (step @p70 :rule refl :args (@t18)) % 0.38/0.58 (step @p71 :rule cong :premises (@p70 @p20) :args (@t54)) % 0.38/0.58 (step @p72 :rule trans :premises (@p71 @p69)) % 0.38/0.58 (step @p73 :rule cong :premises (@p8 @p72) :args (@t55)) % 0.38/0.58 (step @p74 :rule cong :premises (@p73 @p13) :args (@t56)) % 0.38/0.58 (step @p75 :rule trans :premises (@p74 @p62 @p8)) % 0.38/0.58 (step @p76 :rule cong :premises (@p75 @p58) :args (@t57)) % 0.38/0.58 (step @p77 :rule symm :premises (@p67)) % 0.38/0.58 (step @p78 :rule cong :premises (@p77 @p76) :args (@t58)) % 0.38/0.58 (step @p79 :rule trans :premises (@p37 @p78 @p68)) % 0.38/0.58 (step @p80 :rule symm :premises (@p8)) % 0.38/0.58 (step @p81 :rule cong :premises (@p80 @p79) :args (@t15)) % 0.38/0.58 (step @p82 :rule trans :premises (@p67 @p81)) % 0.38/0.58 (step @p83 :rule cong :premises (@p82 @p59) :args (@t46)) % 0.38/0.58 (step @p84 :rule trans :premises (@p80 @p37 @p78 @p83)) % 0.38/0.58 (step @p85 :rule cong :premises (@p84 @p58) :args (@t15)) % 0.38/0.58 (step @p86 :rule trans :premises (@p55 @p85)) % 0.38/0.58 (step @p87 :rule refl :args (@t13)) % 0.38/0.58 (step @p88 :rule cong :premises (@p87 @p86) :args (@t21)) % 0.38/0.58 (step @p89 :rule trans :premises (@p80 @p14 @p88 @p57)) % 0.38/0.58 (step @p90 :rule cong :premises (@p59 @p89) :args (@t60)) % 0.38/0.58 (step @p91 :rule symm :premises (@p60)) % 0.38/0.58 (step @p92 :rule cong :premises (@p91 @p8) :args (@t50)) % 0.38/0.58 (step @p93 :rule trans :premises (@p14 @p88 @p57)) % 0.38/0.58 (step @p94 :rule cong :premises (@p93 @p59) :args ((tptp.multiply tptp.identity @t15))) % 0.38/0.58 (step @p95 :rule cong :premises (@p59 @p8) :args (@t18)) % 0.38/0.58 (step @p96 :rule symm :premises (@p13)) % 0.38/0.58 (step @p97 :rule symm :premises (@p22)) % 0.38/0.58 (step @p98 :rule symm :premises (@p14)) % 0.38/0.58 (step @p99 :rule symm :premises (@p37)) % 0.38/0.58 (step @p100 :rule symm :premises (@p78)) % 0.38/0.58 (step @p101 :rule cong :premises (@p59 @p13) :args (@t61)) % 0.38/0.58 (step @p102 :rule trans :premises (@p101 @p62)) % 0.38/0.58 (step @p103 :rule cong :premises (@p8 @p102) :args (@t62)) % 0.38/0.58 (step @p104 :rule trans :premises (@p103 @p77)) % 0.38/0.58 (step @p105 :rule cong :premises (@p104 @p59) :args (@t63)) % 0.38/0.58 (step @p106 :rule trans :premises (@p105 @p100 @p99 @p8)) % 0.38/0.58 (step @p107 :rule cong :premises (@p106 @p58) :args ((tptp.double_divide @t63 tptp.identity))) % 0.38/0.58 (step @p108 :rule symm :premises (@p105)) % 0.38/0.58 (step @p109 :rule cong :premises (@p108 @p58) :args (@t47)) % 0.38/0.58 (step @p110 :rule trans :premises (@p109 @p107)) % 0.38/0.58 (step @p111 :rule trans :premises (@p80 @p21)) % 0.38/0.58 (step @p112 :rule cong :premises (@p59 @p111) :args (@t60)) % 0.38/0.58 (step @p113 :rule cong :premises (@p58 @p112) :args (@t64)) % 0.38/0.58 (step @p114 :rule trans :premises (@p80 @p14)) % 0.38/0.58 (step @p115 :rule cong :premises (@p59 @p114) :args (@t60)) % 0.38/0.58 (step @p116 :rule cong :premises (@p58 @p115) :args (@t64)) % 0.38/0.58 (step @p117 :rule symm :premises (@p116)) % 0.38/0.58 (step @p118 :rule trans :premises (@p117 @p113)) % 0.38/0.58 (step @p119 :rule cong :premises (@p118 @p110) :args (@t48)) % 0.38/0.58 (step @p120 :rule trans :premises (@p13 @p23 @p119)) % 0.38/0.58 (step @p121 :rule cong :premises (@p120 @p98) :args (@t23)) % 0.38/0.58 (step @p122 :rule cong :premises (@p8 @p121) :args (@t24)) % 0.38/0.58 (step @p123 :rule trans :premises (@p122 @p97 @p96 @p95 @p90 @p56 @p55)) % 0.38/0.58 (step @p124 :rule cong :premises (@p80 @p123) :args (@t26)) % 0.38/0.58 (step @p125 :rule trans :premises (@p14 @p88 @p57 @p34 @p124 @p94 @p24 @p92 @p90 @p56 @p55 @p54)) % 0.38/0.58 (step-pop @p166 :rule scope :premises (@p125)) % 0.38/0.58 (step-pop @p167 :rule scope :premises (@p166)) % 0.38/0.58 (step-pop @p168 :rule scope :premises (@p167)) % 0.38/0.58 (step-pop @p169 :rule scope :premises (@p168)) % 0.38/0.58 (step-pop @p170 :rule scope :premises (@p169)) % 0.38/0.58 (step-pop @p171 :rule scope :premises (@p170)) % 0.38/0.58 (step-pop @p172 :rule scope :premises (@p171)) % 0.38/0.58 (step-pop @p173 :rule scope :premises (@p172)) % 0.38/0.58 (step-pop @p174 :rule scope :premises (@p173)) % 0.38/0.58 (step-pop @p175 :rule scope :premises (@p174)) % 0.38/0.58 (step-pop @p176 :rule scope :premises (@p175)) % 0.38/0.58 (step-pop @p177 :rule scope :premises (@p176)) % 0.38/0.58 (step-pop @p178 :rule scope :premises (@p177)) % 0.38/0.58 (step-pop @p179 :rule scope :premises (@p178)) % 0.38/0.58 (step-pop @p180 :rule scope :premises (@p179)) % 0.38/0.58 (step-pop @p181 :rule scope :premises (@p180)) % 0.38/0.58 (step @p126 :rule process_scope :premises (@p181) :args (@t65)) % 0.38/0.58 (step @p143 :rule implies_elim :premises (@p126)) % 0.38/0.58 (step @p144 :rule cnf_and_neg :args (@t66)) % 0.38/0.58 (step @p145 :rule resolution :premises (@p144 @p143) :args (true @t66)) % 0.38/0.58 (step @p146 :rule reordering :premises (@p145) :args ((or @t65 (not @t29) (not @t30) (not @t31) (not @t32) (not @t33) (not @t34) (not @t36) (not @t39) (not @t41) (not @t42) (not @t49) (not @t51) (not @t28) (not @t52) (not @t53) (not @t59)))) % 0.38/0.58 (step @p147 false :rule chain_m_resolution :premises (@p146 @p37 @p36 @p35 @p34 @p24 @p23 @p22 @p21 @p20 @p19 @p18 @p14 @p13 @p12 @p8 @p7 @p6) :args (false (@list false false false false false false false false false false false false false false false false true) (@list @t59 @t53 @t52 @t28 @t51 @t49 @t42 @t41 @t39 @t36 @t34 @t33 @t32 @t31 @t30 @t29 @t65))) % 0.38/0.58 ) % 0.38/0.58 % SZS output end Proof % 0.38/0.58 % cvc5 exiting %------------------------------------------------------------------------------