%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GRP172-2 : TPTP v9.2.1. Bugfixed v1.2.1. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n019.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 0.38s 0.60s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GRP172-2 : TPTP v9.2.1. Bugfixed v1.2.1. % 0.11/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n019.cluster.edu % 0.17/0.35 % Model : x86_64 x86_64 % 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.35 % Memory : 8042.1875MB % 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Tue Jun 2 00:54:34 EDT 2026 % 0.17/0.35 % CPUTime : % 0.27/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.27/0.52 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.38/0.60 % SZS status Unsatisfiable % 0.38/0.60 % SZS output start Proof % 0.38/0.60 ( % 0.38/0.60 (declare-sort $$unsorted 0) % 0.38/0.60 (declare-const tptp.b $$unsorted) % 0.38/0.60 (declare-const tptp.a $$unsorted) % 0.38/0.60 (declare-const tptp.least_upper_bound (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.60 (declare-const tptp.greatest_lower_bound (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.60 (declare-const tptp.inverse (-> $$unsorted $$unsorted)) % 0.38/0.60 (declare-const tptp.multiply (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.60 (declare-const tptp.identity $$unsorted) % 0.38/0.60 (define @t1 () (@var "X" $$unsorted)) % 0.38/0.60 (define @t2 () (tptp.multiply tptp.identity @t1)) % 0.38/0.60 (define @t3 () (@list @t1)) % 0.38/0.60 (define @t4 () (forall @t3 (= @t2 @t1))) % 0.38/0.60 (define @t5 () (@var "Z" $$unsorted)) % 0.38/0.60 (define @t6 () (@var "Y" $$unsorted)) % 0.38/0.60 (define @t7 () (tptp.multiply @t1 @t6)) % 0.38/0.60 (define @t8 () (@list @t1 @t6 @t5)) % 0.38/0.60 (define @t9 () (tptp.greatest_lower_bound @t1 @t6)) % 0.38/0.60 (define @t10 () (@list @t1 @t6)) % 0.38/0.60 (define @t11 () (tptp.least_upper_bound @t1 @t6)) % 0.38/0.60 (define @t12 () (tptp.greatest_lower_bound @t6 @t5)) % 0.38/0.60 (define @t13 () (tptp.least_upper_bound @t6 @t5)) % 0.38/0.60 (define @t14 () (tptp.greatest_lower_bound @t1 @t1)) % 0.38/0.60 (define @t15 () (forall @t3 (= @t14 @t1))) % 0.38/0.60 (define @t16 () (tptp.least_upper_bound @t1 @t9)) % 0.38/0.60 (define @t17 () (forall @t10 (= @t16 @t1))) % 0.38/0.60 (define @t18 () (tptp.multiply @t1 @t5)) % 0.38/0.60 (define @t19 () (tptp.multiply @t5 @t1)) % 0.38/0.60 (define @t20 () (tptp.multiply @t6 @t1)) % 0.38/0.60 (define @t21 () (@list @t6 @t5 @t1)) % 0.38/0.60 (define @t22 () (tptp.greatest_lower_bound tptp.identity tptp.a)) % 0.38/0.60 (define @t23 () (tptp.greatest_lower_bound tptp.identity tptp.b)) % 0.38/0.60 (define @t24 () (tptp.multiply tptp.a tptp.b)) % 0.38/0.60 (define @t25 () (tptp.least_upper_bound tptp.identity @t24)) % 0.38/0.60 (define @t26 () (@list tptp.identity tptp.a)) % 0.38/0.60 (define @t27 () (@list tptp.b)) % 0.38/0.60 (define @t28 () (tptp.greatest_lower_bound tptp.a tptp.identity)) % 0.38/0.60 (define @t29 () (tptp.multiply @t28 tptp.b)) % 0.38/0.60 (define @t30 () (tptp.least_upper_bound @t24 @t29)) % 0.38/0.60 (define @t31 () (tptp.least_upper_bound @t30 tptp.identity)) % 0.38/0.60 (define @t32 () (tptp.least_upper_bound @t29 tptp.identity)) % 0.38/0.60 (define @t33 () (tptp.least_upper_bound @t24 @t32)) % 0.38/0.60 (define @t34 () (= @t33 @t31)) % 0.38/0.60 (define @t35 () (not @t34)) % 0.38/0.60 (define @t36 () (tptp.multiply tptp.identity tptp.b)) % 0.38/0.60 (define @t37 () (= tptp.b @t36)) % 0.38/0.60 (define @t38 () (not @t37)) % 0.38/0.60 (define @t39 () (tptp.least_upper_bound tptp.a @t28)) % 0.38/0.60 (define @t40 () (tptp.multiply @t39 tptp.b)) % 0.38/0.60 (define @t41 () (= @t40 @t30)) % 0.38/0.60 (define @t42 () (not @t41)) % 0.38/0.60 (define @t43 () (tptp.greatest_lower_bound tptp.b tptp.identity)) % 0.38/0.60 (define @t44 () (= tptp.b (tptp.least_upper_bound tptp.b @t43))) % 0.38/0.60 (define @t45 () (not @t44)) % 0.38/0.60 (define @t46 () (= tptp.a @t39)) % 0.38/0.60 (define @t47 () (not @t46)) % 0.38/0.60 (define @t48 () (tptp.greatest_lower_bound tptp.b tptp.b)) % 0.38/0.60 (define @t49 () (= tptp.b @t48)) % 0.38/0.60 (define @t50 () (not @t49)) % 0.38/0.60 (define @t51 () (tptp.least_upper_bound tptp.identity @t22)) % 0.38/0.60 (define @t52 () (= tptp.identity @t51)) % 0.38/0.60 (define @t53 () (not @t52)) % 0.38/0.60 (define @t54 () (= @t25 (tptp.least_upper_bound @t24 tptp.identity))) % 0.38/0.60 (define @t55 () (not @t54)) % 0.38/0.60 (define @t56 () (= @t23 @t43)) % 0.38/0.60 (define @t57 () (not @t56)) % 0.38/0.60 (define @t58 () (= @t22 @t28)) % 0.38/0.60 (define @t59 () (not @t58)) % 0.38/0.60 (define @t60 () (= @t24 @t25)) % 0.38/0.60 (define @t61 () (= tptp.identity @t23)) % 0.38/0.60 (define @t62 () (not @t61)) % 0.38/0.60 (define @t63 () (= tptp.identity @t22)) % 0.38/0.60 (define @t64 () (not @t63)) % 0.38/0.60 (define @t65 () (not @t60)) % 0.38/0.60 (define @t66 () (and @t63 @t61 @t65 @t58 @t56 @t54 @t52 @t49 @t46 @t44 @t41 @t37)) % 0.38/0.60 (assume @p1 @t4) % 0.38/0.60 (assume @p2 (forall @t3 (= (tptp.multiply (tptp.inverse @t1) @t1) tptp.identity))) % 0.38/0.60 (assume @p3 (forall @t8 (= (tptp.multiply @t7 @t5) (tptp.multiply @t1 (tptp.multiply @t6 @t5))))) % 0.38/0.60 (assume @p4 (forall @t10 (= @t9 (tptp.greatest_lower_bound @t6 @t1)))) % 0.38/0.60 (assume @p5 (forall @t10 (= @t11 (tptp.least_upper_bound @t6 @t1)))) % 0.38/0.60 (assume @p6 (forall @t8 (= (tptp.greatest_lower_bound @t1 @t12) (tptp.greatest_lower_bound @t9 @t5)))) % 0.38/0.60 (assume @p7 (forall @t8 (= (tptp.least_upper_bound @t1 @t13) (tptp.least_upper_bound @t11 @t5)))) % 0.38/0.60 (assume @p8 (forall @t3 (= (tptp.least_upper_bound @t1 @t1) @t1))) % 0.38/0.60 (assume @p9 @t15) % 0.38/0.60 (assume @p10 @t17) % 0.38/0.60 (assume @p11 (forall @t10 (= (tptp.greatest_lower_bound @t1 @t11) @t1))) % 0.38/0.60 (assume @p12 (forall @t8 (= (tptp.multiply @t1 @t13) (tptp.least_upper_bound @t7 @t18)))) % 0.38/0.60 (assume @p13 (forall @t8 (= (tptp.multiply @t1 @t12) (tptp.greatest_lower_bound @t7 @t18)))) % 0.38/0.60 (assume @p14 (forall @t21 (= (tptp.multiply @t13 @t1) (tptp.least_upper_bound @t20 @t19)))) % 0.38/0.60 (assume @p15 (forall @t21 (= (tptp.multiply @t12 @t1) (tptp.greatest_lower_bound @t20 @t19)))) % 0.38/0.60 (assume @p16 (= @t22 tptp.identity)) % 0.38/0.60 (assume @p17 (= @t23 tptp.identity)) % 0.38/0.60 (assume @p18 (not (= @t25 @t24))) % 0.38/0.60 (step @p19 :rule symm :premises (@p16)) % 0.38/0.60 (step @p20 :rule symm :premises (@p17)) % 0.38/0.60 (step @p21 :rule symm :premises (@p18)) % 0.38/0.60 (step @p22 :rule instantiate :premises (@p4) :args (@t26)) % 0.38/0.60 (step @p23 :rule instantiate :premises (@p4) :args ((@list tptp.identity tptp.b))) % 0.38/0.60 (step @p24 :rule instantiate :premises (@p5) :args ((@list tptp.identity @t24))) % 0.38/0.60 (step @p25 :rule eq-symm :args (@t16 @t1)) % 0.38/0.60 (step @p26 :rule cong :premises (@p25) :args (@t17)) % 0.38/0.60 (step @p27 :rule eq_resolve :premises (@p10 @p26)) % 0.38/0.60 (step @p28 :rule instantiate :premises (@p27) :args (@t26)) % 0.38/0.60 (step @p29 :rule eq-symm :args (@t14 @t1)) % 0.38/0.60 (step @p30 :rule cong :premises (@p29) :args (@t15)) % 0.38/0.60 (step @p31 :rule eq_resolve :premises (@p9 @p30)) % 0.38/0.60 (step @p32 :rule instantiate :premises (@p31) :args (@t27)) % 0.38/0.60 (step @p33 :rule instantiate :premises (@p27) :args ((@list tptp.a tptp.identity))) % 0.38/0.60 (step @p34 :rule instantiate :premises (@p27) :args ((@list tptp.b tptp.identity))) % 0.38/0.60 (step @p35 :rule instantiate :premises (@p14) :args ((@list tptp.a @t28 tptp.b))) % 0.38/0.60 (step @p36 :rule eq-symm :args (@t2 @t1)) % 0.38/0.60 (step @p37 :rule cong :premises (@p36) :args (@t4)) % 0.38/0.60 (step @p38 :rule eq_resolve :premises (@p1 @p37)) % 0.38/0.60 (step @p39 :rule instantiate :premises (@p38) :args (@t27)) % 0.38/0.60 (step @p40 :rule instantiate :premises (@p7) :args ((@list @t24 @t29 tptp.identity))) % 0.38/0.60 (step @p41 :rule refl :args (@t35)) % 0.38/0.60 (step @p42 :rule refl :args (@t38)) % 0.38/0.60 (step @p43 :rule refl :args (@t42)) % 0.38/0.60 (step @p44 :rule refl :args (@t45)) % 0.38/0.60 (step @p45 :rule refl :args (@t47)) % 0.38/0.60 (step @p46 :rule refl :args (@t50)) % 0.38/0.60 (step @p47 :rule refl :args (@t53)) % 0.38/0.60 (step @p48 :rule refl :args (@t55)) % 0.38/0.60 (step @p49 :rule refl :args (@t57)) % 0.38/0.60 (step @p50 :rule refl :args (@t59)) % 0.38/0.60 (step @p51 :rule bool-double-not-elim :args (@t60)) % 0.38/0.60 (step @p52 :rule refl :args (@t62)) % 0.38/0.60 (step @p53 :rule refl :args (@t64)) % 0.38/0.60 (step @p54 :rule nary_cong :premises (@p53 @p52 @p51 @p50 @p49 @p48 @p47 @p46 @p45 @p44 @p43 @p42 @p41) :args ((or @t64 @t62 (not @t65) @t59 @t57 @t55 @t53 @t50 @t47 @t45 @t42 @t38 @t35))) % 0.38/0.60 (assume-push @p118 @t63) % 0.38/0.60 (assume-push @p119 @t61) % 0.38/0.60 (assume-push @p120 @t65) % 0.38/0.60 (assume-push @p121 @t58) % 0.38/0.60 (assume-push @p122 @t56) % 0.38/0.60 (assume-push @p123 @t54) % 0.38/0.60 (assume-push @p124 @t52) % 0.38/0.60 (assume-push @p125 @t49) % 0.38/0.60 (assume-push @p126 @t46) % 0.38/0.60 (assume-push @p127 @t44) % 0.38/0.60 (assume-push @p128 @t41) % 0.38/0.60 (assume-push @p129 @t37) % 0.38/0.60 (step @p67 :rule false_intro :premises (@p21)) % 0.38/0.60 (step @p68 :rule symm :premises (@p24)) % 0.38/0.60 (step @p69 :rule symm :premises (@p28)) % 0.38/0.60 (step @p70 :rule refl :args (@t24)) % 0.38/0.60 (step @p71 :rule cong :premises (@p70 @p69) :args ((tptp.least_upper_bound @t24 @t51))) % 0.38/0.60 (step @p72 :rule symm :premises (@p32)) % 0.38/0.60 (step @p73 :rule refl :args (tptp.a)) % 0.38/0.60 (step @p74 :rule cong :premises (@p73 @p72) :args ((tptp.multiply tptp.a @t48))) % 0.38/0.60 (step @p75 :rule symm :premises (@p33)) % 0.38/0.60 (step @p76 :rule cong :premises (@p75 @p32) :args (@t40)) % 0.38/0.60 (step @p77 :rule symm :premises (@p35)) % 0.38/0.60 (step @p78 :rule trans :premises (@p77 @p76 @p74)) % 0.38/0.60 (step @p79 :rule cong :premises (@p78 @p28) :args (@t31)) % 0.38/0.60 (step @p80 :rule trans :premises (@p79 @p71 @p68)) % 0.38/0.60 (step @p81 :rule refl :args (@t29)) % 0.38/0.60 (step @p82 :rule cong :premises (@p78 @p81) :args ((tptp.least_upper_bound @t30 @t29))) % 0.38/0.60 (step @p83 :rule refl :args (tptp.b)) % 0.38/0.60 (step @p84 :rule trans :premises (@p19 @p22)) % 0.38/0.60 (step @p85 :rule cong :premises (@p84 @p83) :args (@t36)) % 0.38/0.60 (step @p86 :rule symm :premises (@p34)) % 0.38/0.60 (step @p87 :rule trans :premises (@p20 @p23)) % 0.38/0.60 (step @p88 :rule symm :premises (@p39)) % 0.38/0.60 (step @p89 :rule symm :premises (@p85)) % 0.38/0.60 (step @p90 :rule trans :premises (@p89 @p88)) % 0.38/0.60 (step @p91 :rule cong :premises (@p90 @p87) :args (@t32)) % 0.38/0.60 (step @p92 :rule trans :premises (@p91 @p86 @p39 @p85)) % 0.38/0.60 (step @p93 :rule symm :premises (@p78)) % 0.38/0.60 (step @p94 :rule cong :premises (@p93 @p92) :args (@t33)) % 0.38/0.60 (step @p95 :rule trans :premises (@p94 @p82 @p77 @p76 @p74)) % 0.38/0.60 (step @p96 :rule cong :premises (@p95 @p80) :args (@t34)) % 0.38/0.60 (step @p97 :rule trans :premises (@p96 @p67)) % 0.38/0.60 (step @p98 :rule false_elim :premises (@p97)) % 0.38/0.60 (step-pop @p130 :rule scope :premises (@p98)) % 0.38/0.60 (step-pop @p131 :rule scope :premises (@p130)) % 0.38/0.60 (step-pop @p132 :rule scope :premises (@p131)) % 0.38/0.60 (step-pop @p133 :rule scope :premises (@p132)) % 0.38/0.60 (step-pop @p134 :rule scope :premises (@p133)) % 0.38/0.60 (step-pop @p135 :rule scope :premises (@p134)) % 0.38/0.60 (step-pop @p136 :rule scope :premises (@p135)) % 0.38/0.60 (step-pop @p137 :rule scope :premises (@p136)) % 0.38/0.60 (step-pop @p138 :rule scope :premises (@p137)) % 0.38/0.60 (step-pop @p139 :rule scope :premises (@p138)) % 0.38/0.60 (step-pop @p140 :rule scope :premises (@p139)) % 0.38/0.60 (step-pop @p141 :rule scope :premises (@p140)) % 0.38/0.60 (step @p99 :rule process_scope :premises (@p141) :args (@t35)) % 0.38/0.60 (step @p112 :rule implies_elim :premises (@p99)) % 0.38/0.60 (step @p113 :rule cnf_and_neg :args (@t66)) % 0.38/0.60 (step @p114 :rule resolution :premises (@p113 @p112) :args (true @t66)) % 0.38/0.60 (step @p115 :rule eq_resolve :premises (@p114 @p54)) % 0.38/0.60 (step @p116 :rule reordering :premises (@p115) :args ((or @t60 @t64 @t62 @t59 @t57 @t55 @t53 @t50 @t47 @t45 @t42 @t38 @t35))) % 0.38/0.60 (step @p117 false :rule chain_m_resolution :premises (@p116 @p40 @p39 @p35 @p34 @p33 @p32 @p28 @p24 @p23 @p22 @p21 @p20 @p19) :args (false (@list false false false false false false false false false false true false false) (@list @t34 @t37 @t41 @t44 @t46 @t49 @t52 @t54 @t56 @t58 @t60 @t61 @t63))) % 0.38/0.60 ) % 0.38/0.60 % SZS output end Proof % 0.38/0.60 % cvc5 exiting %------------------------------------------------------------------------------