%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GRP173-1 : TPTP v9.2.1. Bugfixed v1.2.1. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n023.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 08:20:05 AM UTC 2026 % Result : Unsatisfiable 0.40s 0.59s % Output : Proof 0.40s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GRP173-1 : TPTP v9.2.1. Bugfixed v1.2.1. % 0.13/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.33 % Computer : n023.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 00:55:28 EDT 2026 % 0.17/0.34 % CPUTime : % 0.31/0.48 %----Proving TF0_NAR, FOF, or CNF % 0.31/0.49 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.40/0.59 % SZS status Unsatisfiable % 0.40/0.59 % SZS output start Proof % 0.40/0.59 ( % 0.40/0.59 (declare-sort $$unsorted 0) % 0.40/0.59 (declare-const tptp.a $$unsorted) % 0.40/0.59 (declare-const tptp.least_upper_bound (-> $$unsorted $$unsorted $$unsorted)) % 0.40/0.59 (declare-const tptp.greatest_lower_bound (-> $$unsorted $$unsorted $$unsorted)) % 0.40/0.59 (declare-const tptp.inverse (-> $$unsorted $$unsorted)) % 0.40/0.59 (declare-const tptp.multiply (-> $$unsorted $$unsorted $$unsorted)) % 0.40/0.59 (declare-const tptp.identity $$unsorted) % 0.40/0.59 (define @t1 () (@var "X" $$unsorted)) % 0.40/0.59 (define @t2 () (tptp.multiply tptp.identity @t1)) % 0.40/0.59 (define @t3 () (@list @t1)) % 0.40/0.59 (define @t4 () (forall @t3 (= @t2 @t1))) % 0.40/0.59 (define @t5 () (tptp.multiply (tptp.inverse @t1) @t1)) % 0.40/0.59 (define @t6 () (forall @t3 (= @t5 tptp.identity))) % 0.40/0.59 (define @t7 () (@var "Z" $$unsorted)) % 0.40/0.59 (define @t8 () (@var "Y" $$unsorted)) % 0.40/0.59 (define @t9 () (tptp.multiply @t1 @t8)) % 0.40/0.59 (define @t10 () (@list @t1 @t8 @t7)) % 0.40/0.59 (define @t11 () (tptp.greatest_lower_bound @t1 @t8)) % 0.40/0.59 (define @t12 () (@list @t1 @t8)) % 0.40/0.59 (define @t13 () (tptp.least_upper_bound @t1 @t8)) % 0.40/0.59 (define @t14 () (tptp.greatest_lower_bound @t8 @t7)) % 0.40/0.59 (define @t15 () (tptp.least_upper_bound @t8 @t7)) % 0.40/0.59 (define @t16 () (tptp.greatest_lower_bound @t1 @t1)) % 0.40/0.59 (define @t17 () (forall @t3 (= @t16 @t1))) % 0.40/0.59 (define @t18 () (tptp.greatest_lower_bound @t1 @t13)) % 0.40/0.59 (define @t19 () (forall @t12 (= @t18 @t1))) % 0.40/0.59 (define @t20 () (tptp.multiply @t1 @t7)) % 0.40/0.59 (define @t21 () (tptp.multiply @t7 @t1)) % 0.40/0.59 (define @t22 () (tptp.multiply @t8 @t1)) % 0.40/0.59 (define @t23 () (@list @t8 @t7 @t1)) % 0.40/0.59 (define @t24 () (tptp.least_upper_bound tptp.identity tptp.a)) % 0.40/0.59 (define @t25 () (tptp.inverse tptp.a)) % 0.40/0.59 (define @t26 () (tptp.least_upper_bound tptp.identity @t25)) % 0.40/0.59 (define @t27 () (= tptp.identity tptp.a)) % 0.40/0.59 (define @t28 () (@list tptp.a)) % 0.40/0.59 (define @t29 () (@list tptp.identity tptp.a)) % 0.40/0.59 (define @t30 () (tptp.least_upper_bound @t25 tptp.a)) % 0.40/0.59 (define @t31 () (tptp.least_upper_bound tptp.a tptp.identity)) % 0.40/0.59 (define @t32 () (tptp.multiply @t30 tptp.a)) % 0.40/0.59 (define @t33 () (tptp.multiply @t25 tptp.a)) % 0.40/0.59 (define @t34 () (tptp.least_upper_bound tptp.a @t25)) % 0.40/0.59 (define @t35 () (tptp.least_upper_bound @t25 tptp.identity)) % 0.40/0.59 (define @t36 () (= tptp.identity @t24)) % 0.40/0.59 (define @t37 () (= tptp.identity @t26)) % 0.40/0.59 (define @t38 () (= tptp.identity @t33)) % 0.40/0.59 (define @t39 () (= @t24 @t31)) % 0.40/0.59 (define @t40 () (= @t26 @t35)) % 0.40/0.59 (define @t41 () (tptp.least_upper_bound tptp.identity @t30)) % 0.40/0.59 (define @t42 () (= @t41 (tptp.least_upper_bound @t26 tptp.a))) % 0.40/0.59 (define @t43 () (= tptp.identity (tptp.greatest_lower_bound tptp.identity @t24))) % 0.40/0.59 (define @t44 () (tptp.least_upper_bound @t30 tptp.identity)) % 0.40/0.59 (define @t45 () (= @t41 @t44)) % 0.40/0.59 (define @t46 () (tptp.greatest_lower_bound tptp.a @t31)) % 0.40/0.59 (define @t47 () (= tptp.a @t46)) % 0.40/0.59 (define @t48 () (tptp.greatest_lower_bound @t25 @t30)) % 0.40/0.59 (define @t49 () (= @t25 @t48)) % 0.40/0.59 (define @t50 () (tptp.greatest_lower_bound @t33 @t33)) % 0.40/0.59 (define @t51 () (tptp.greatest_lower_bound tptp.a tptp.a)) % 0.40/0.59 (define @t52 () (= (tptp.multiply @t25 @t51) @t50)) % 0.40/0.59 (define @t53 () (= @t46 (tptp.greatest_lower_bound @t31 tptp.a))) % 0.40/0.59 (define @t54 () (= tptp.a @t51)) % 0.40/0.59 (define @t55 () (tptp.greatest_lower_bound tptp.a @t34)) % 0.40/0.59 (define @t56 () (= tptp.a @t55)) % 0.40/0.59 (define @t57 () (= @t30 (tptp.greatest_lower_bound @t30 @t44))) % 0.40/0.59 (define @t58 () (tptp.greatest_lower_bound @t33 @t32)) % 0.40/0.59 (define @t59 () (tptp.multiply @t48 tptp.a)) % 0.40/0.59 (define @t60 () (= @t59 @t58)) % 0.40/0.59 (define @t61 () (tptp.greatest_lower_bound @t58 tptp.a)) % 0.40/0.59 (define @t62 () (tptp.greatest_lower_bound @t32 tptp.a)) % 0.40/0.59 (define @t63 () (= (tptp.greatest_lower_bound @t33 @t62) @t61)) % 0.40/0.59 (define @t64 () (tptp.greatest_lower_bound @t33 (tptp.multiply @t25 @t34))) % 0.40/0.59 (define @t65 () (tptp.multiply @t25 @t55)) % 0.40/0.59 (define @t66 () (= @t65 @t64)) % 0.40/0.59 (define @t67 () (tptp.multiply @t35 tptp.a)) % 0.40/0.59 (define @t68 () (tptp.greatest_lower_bound @t32 @t67)) % 0.40/0.59 (define @t69 () (tptp.greatest_lower_bound @t30 @t35)) % 0.40/0.59 (define @t70 () (tptp.multiply @t69 tptp.a)) % 0.40/0.59 (define @t71 () (= @t70 @t68)) % 0.40/0.59 (define @t72 () (= tptp.a (tptp.multiply tptp.identity tptp.a))) % 0.40/0.59 (define @t73 () (and @t36 @t37 @t38 @t39 @t40 @t42 @t43 @t45 @t47 @t49 @t52 @t53 @t54 @t56 @t57 @t60 @t63 @t66 @t71 @t72)) % 0.40/0.59 (assume @p1 @t4) % 0.40/0.59 (assume @p2 @t6) % 0.40/0.59 (assume @p3 (forall @t10 (= (tptp.multiply @t9 @t7) (tptp.multiply @t1 (tptp.multiply @t8 @t7))))) % 0.40/0.59 (assume @p4 (forall @t12 (= @t11 (tptp.greatest_lower_bound @t8 @t1)))) % 0.40/0.59 (assume @p5 (forall @t12 (= @t13 (tptp.least_upper_bound @t8 @t1)))) % 0.40/0.59 (assume @p6 (forall @t10 (= (tptp.greatest_lower_bound @t1 @t14) (tptp.greatest_lower_bound @t11 @t7)))) % 0.40/0.59 (assume @p7 (forall @t10 (= (tptp.least_upper_bound @t1 @t15) (tptp.least_upper_bound @t13 @t7)))) % 0.40/0.59 (assume @p8 (forall @t3 (= (tptp.least_upper_bound @t1 @t1) @t1))) % 0.40/0.59 (assume @p9 @t17) % 0.40/0.59 (assume @p10 (forall @t12 (= (tptp.least_upper_bound @t1 @t11) @t1))) % 0.40/0.59 (assume @p11 @t19) % 0.40/0.59 (assume @p12 (forall @t10 (= (tptp.multiply @t1 @t15) (tptp.least_upper_bound @t9 @t20)))) % 0.40/0.59 (assume @p13 (forall @t10 (= (tptp.multiply @t1 @t14) (tptp.greatest_lower_bound @t9 @t20)))) % 0.40/0.59 (assume @p14 (forall @t23 (= (tptp.multiply @t15 @t1) (tptp.least_upper_bound @t22 @t21)))) % 0.40/0.59 (assume @p15 (forall @t23 (= (tptp.multiply @t14 @t1) (tptp.greatest_lower_bound @t22 @t21)))) % 0.40/0.59 (assume @p16 (= @t24 tptp.identity)) % 0.40/0.59 (assume @p17 (= @t26 tptp.identity)) % 0.40/0.59 (assume @p18 (not @t27)) % 0.40/0.59 (step @p19 :rule symm :premises (@p16)) % 0.40/0.59 (step @p20 :rule symm :premises (@p17)) % 0.40/0.59 (step @p21 :rule eq-symm :args (@t5 tptp.identity)) % 0.40/0.59 (step @p22 :rule cong :premises (@p21) :args (@t6)) % 0.40/0.59 (step @p23 :rule eq_resolve :premises (@p2 @p22)) % 0.40/0.59 (step @p24 :rule instantiate :premises (@p23) :args (@t28)) % 0.40/0.59 (step @p25 :rule instantiate :premises (@p5) :args (@t29)) % 0.40/0.59 (step @p26 :rule instantiate :premises (@p5) :args ((@list tptp.identity @t25))) % 0.40/0.59 (step @p27 :rule instantiate :premises (@p7) :args ((@list tptp.identity @t25 tptp.a))) % 0.40/0.59 (step @p28 :rule eq-symm :args (@t18 @t1)) % 0.40/0.59 (step @p29 :rule cong :premises (@p28) :args (@t19)) % 0.40/0.59 (step @p30 :rule eq_resolve :premises (@p11 @p29)) % 0.40/0.59 (step @p31 :rule instantiate :premises (@p30) :args (@t29)) % 0.40/0.59 (step @p32 :rule instantiate :premises (@p5) :args ((@list tptp.identity @t30))) % 0.40/0.59 (step @p33 :rule instantiate :premises (@p30) :args ((@list tptp.a tptp.identity))) % 0.40/0.59 (step @p34 :rule instantiate :premises (@p30) :args ((@list @t25 tptp.a))) % 0.40/0.59 (step @p35 :rule instantiate :premises (@p13) :args ((@list @t25 tptp.a tptp.a))) % 0.40/0.59 (step @p36 :rule instantiate :premises (@p4) :args ((@list tptp.a @t31))) % 0.40/0.59 (step @p37 :rule eq-symm :args (@t16 @t1)) % 0.40/0.59 (step @p38 :rule cong :premises (@p37) :args (@t17)) % 0.40/0.59 (step @p39 :rule eq_resolve :premises (@p9 @p38)) % 0.40/0.59 (step @p40 :rule instantiate :premises (@p39) :args (@t28)) % 0.40/0.59 (step @p41 :rule instantiate :premises (@p30) :args ((@list tptp.a @t25))) % 0.40/0.59 (step @p42 :rule instantiate :premises (@p30) :args ((@list @t30 tptp.identity))) % 0.40/0.59 (step @p43 :rule instantiate :premises (@p15) :args ((@list @t25 @t30 tptp.a))) % 0.40/0.59 (step @p44 :rule instantiate :premises (@p6) :args ((@list @t33 @t32 tptp.a))) % 0.40/0.59 (step @p45 :rule instantiate :premises (@p13) :args ((@list @t25 tptp.a @t34))) % 0.40/0.59 (step @p46 :rule instantiate :premises (@p15) :args ((@list @t30 @t35 tptp.a))) % 0.40/0.59 (step @p47 :rule eq-symm :args (@t2 @t1)) % 0.40/0.59 (step @p48 :rule cong :premises (@p47) :args (@t4)) % 0.40/0.59 (step @p49 :rule eq_resolve :premises (@p1 @p48)) % 0.40/0.59 (step @p50 :rule instantiate :premises (@p49) :args (@t28)) % 0.40/0.59 (assume-push @p151 @t36) % 0.40/0.59 (assume-push @p152 @t37) % 0.40/0.59 (assume-push @p153 @t38) % 0.40/0.59 (assume-push @p154 @t39) % 0.40/0.59 (assume-push @p155 @t40) % 0.40/0.59 (assume-push @p156 @t42) % 0.40/0.59 (assume-push @p157 @t43) % 0.40/0.59 (assume-push @p158 @t45) % 0.40/0.59 (assume-push @p159 @t47) % 0.40/0.59 (assume-push @p160 @t49) % 0.40/0.59 (assume-push @p161 @t52) % 0.40/0.59 (assume-push @p162 @t53) % 0.40/0.59 (assume-push @p163 @t54) % 0.40/0.59 (assume-push @p164 @t56) % 0.40/0.59 (assume-push @p165 @t57) % 0.40/0.59 (assume-push @p166 @t60) % 0.40/0.59 (assume-push @p167 @t63) % 0.40/0.59 (assume-push @p168 @t66) % 0.40/0.59 (assume-push @p169 @t71) % 0.40/0.59 (assume-push @p170 @t72) % 0.40/0.59 (step @p71 :rule symm :premises (@p33)) % 0.40/0.59 (step @p72 :rule symm :premises (@p36)) % 0.40/0.59 (step @p73 :rule refl :args (tptp.a)) % 0.40/0.59 (step @p74 :rule trans :premises (@p19 @p25)) % 0.40/0.59 (step @p75 :rule symm :premises (@p24)) % 0.40/0.59 (step @p76 :rule symm :premises (@p34)) % 0.40/0.59 (step @p77 :rule cong :premises (@p76 @p73) :args (@t59)) % 0.40/0.59 (step @p78 :rule symm :premises (@p43)) % 0.40/0.59 (step @p79 :rule trans :premises (@p78 @p77 @p75)) % 0.40/0.59 (step @p80 :rule trans :premises (@p79 @p74)) % 0.40/0.59 (step @p81 :rule cong :premises (@p80 @p73) :args (@t61)) % 0.40/0.59 (step @p82 :rule refl :args (@t62)) % 0.40/0.59 (step @p83 :rule symm :premises (@p31)) % 0.40/0.59 (step @p84 :rule trans :premises (@p17 @p19)) % 0.40/0.59 (step @p85 :rule refl :args (tptp.identity)) % 0.40/0.59 (step @p86 :rule cong :premises (@p85 @p84) :args ((tptp.greatest_lower_bound tptp.identity @t26))) % 0.40/0.59 (step @p87 :rule trans :premises (@p75 @p20)) % 0.40/0.59 (step @p88 :rule cong :premises (@p75 @p87) :args (@t50)) % 0.40/0.59 (step @p89 :rule symm :premises (@p41)) % 0.40/0.59 (step @p90 :rule trans :premises (@p89 @p40)) % 0.40/0.59 (step @p91 :rule refl :args (@t25)) % 0.40/0.59 (step @p92 :rule cong :premises (@p91 @p90) :args (@t65)) % 0.40/0.59 (step @p93 :rule symm :premises (@p45)) % 0.40/0.59 (step @p94 :rule trans :premises (@p93 @p92 @p35 @p88 @p86 @p83)) % 0.40/0.59 (step @p95 :rule trans :premises (@p94 @p24)) % 0.40/0.59 (step @p96 :rule cong :premises (@p95 @p82) :args ((tptp.greatest_lower_bound @t64 @t62))) % 0.40/0.59 (step @p97 :rule symm :premises (@p50)) % 0.40/0.59 (step @p98 :rule symm :premises (@p26)) % 0.40/0.59 (step @p99 :rule trans :premises (@p98 @p17)) % 0.40/0.59 (step @p100 :rule cong :premises (@p99 @p73) :args (@t67)) % 0.40/0.59 (step @p101 :rule trans :premises (@p100 @p97)) % 0.40/0.59 (step @p102 :rule symm :premises (@p40)) % 0.40/0.59 (step @p103 :rule refl :args (@t30)) % 0.40/0.59 (step @p104 :rule cong :premises (@p103 @p102) :args ((tptp.multiply @t30 @t51))) % 0.40/0.59 (step @p105 :rule symm :premises (@p42)) % 0.40/0.59 (step @p106 :rule symm :premises (@p27)) % 0.40/0.59 (step @p107 :rule cong :premises (@p20 @p73) :args (@t24)) % 0.40/0.59 (step @p108 :rule trans :premises (@p98 @p17 @p19 @p107 @p106 @p32)) % 0.40/0.59 (step @p109 :rule cong :premises (@p103 @p108) :args (@t69)) % 0.40/0.59 (step @p110 :rule trans :premises (@p109 @p105)) % 0.40/0.59 (step @p111 :rule cong :premises (@p110 @p40) :args (@t70)) % 0.40/0.59 (step @p112 :rule symm :premises (@p46)) % 0.40/0.59 (step @p113 :rule trans :premises (@p112 @p111 @p104)) % 0.40/0.59 (step @p114 :rule cong :premises (@p113 @p101) :args ((tptp.greatest_lower_bound @t68 @t67))) % 0.40/0.59 (step @p115 :rule refl :args (@t67)) % 0.40/0.59 (step @p116 :rule symm :premises (@p113)) % 0.40/0.59 (step @p117 :rule cong :premises (@p116 @p115) :args (@t68)) % 0.40/0.59 (step @p118 :rule symm :premises (@p111)) % 0.40/0.59 (step @p119 :rule symm :premises (@p104)) % 0.40/0.59 (step @p120 :rule trans :premises (@p119 @p118 @p46 @p117 @p114)) % 0.40/0.59 (step @p121 :rule symm :premises (@p95)) % 0.40/0.59 (step @p122 :rule cong :premises (@p121 @p120) :args (@t58)) % 0.40/0.59 (step @p123 :rule symm :premises (@p77)) % 0.40/0.59 (step @p124 :rule trans :premises (@p24 @p123 @p43 @p122 @p96 @p44 @p81 @p72 @p71)) % 0.40/0.59 (step-pop @p171 :rule scope :premises (@p124)) % 0.40/0.59 (step-pop @p172 :rule scope :premises (@p171)) % 0.40/0.59 (step-pop @p173 :rule scope :premises (@p172)) % 0.40/0.59 (step-pop @p174 :rule scope :premises (@p173)) % 0.40/0.59 (step-pop @p175 :rule scope :premises (@p174)) % 0.40/0.59 (step-pop @p176 :rule scope :premises (@p175)) % 0.40/0.59 (step-pop @p177 :rule scope :premises (@p176)) % 0.40/0.59 (step-pop @p178 :rule scope :premises (@p177)) % 0.40/0.59 (step-pop @p179 :rule scope :premises (@p178)) % 0.40/0.59 (step-pop @p180 :rule scope :premises (@p179)) % 0.40/0.59 (step-pop @p181 :rule scope :premises (@p180)) % 0.40/0.59 (step-pop @p182 :rule scope :premises (@p181)) % 0.40/0.59 (step-pop @p183 :rule scope :premises (@p182)) % 0.40/0.59 (step-pop @p184 :rule scope :premises (@p183)) % 0.40/0.59 (step-pop @p185 :rule scope :premises (@p184)) % 0.40/0.59 (step-pop @p186 :rule scope :premises (@p185)) % 0.40/0.59 (step-pop @p187 :rule scope :premises (@p186)) % 0.40/0.59 (step-pop @p188 :rule scope :premises (@p187)) % 0.40/0.59 (step-pop @p189 :rule scope :premises (@p188)) % 0.40/0.59 (step-pop @p190 :rule scope :premises (@p189)) % 0.40/0.59 (step @p125 :rule process_scope :premises (@p190) :args (@t27)) % 0.40/0.59 (step @p146 :rule implies_elim :premises (@p125)) % 0.40/0.59 (step @p147 :rule cnf_and_neg :args (@t73)) % 0.40/0.59 (step @p148 :rule resolution :premises (@p147 @p146) :args (true @t73)) % 0.40/0.59 (step @p149 :rule reordering :premises (@p148) :args ((or @t27 (not @t36) (not @t37) (not @t38) (not @t39) (not @t40) (not @t42) (not @t43) (not @t45) (not @t47) (not @t49) (not @t52) (not @t53) (not @t54) (not @t56) (not @t57) (not @t60) (not @t63) (not @t66) (not @t71) (not @t72)))) % 0.40/0.59 (step @p150 false :rule chain_m_resolution :premises (@p149 @p50 @p46 @p45 @p44 @p43 @p42 @p41 @p40 @p36 @p35 @p34 @p33 @p32 @p31 @p27 @p26 @p25 @p24 @p18 @p20 @p19) :args (false (@list false false false false false false false false false false false false false false false false false false true false false) (@list @t72 @t71 @t66 @t63 @t60 @t57 @t56 @t54 @t53 @t52 @t49 @t47 @t45 @t43 @t42 @t40 @t39 @t38 @t27 @t37 @t36))) % 0.40/0.59 ) % 0.40/0.59 % SZS output end Proof % 0.40/0.59 % cvc5 exiting %------------------------------------------------------------------------------