%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GRP172-1 : 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 : n012.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 0.16s 0.40s % Output : Proof 0.16s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.06 % Problem : GRP172-1 : TPTP v9.2.1. Bugfixed v1.2.1. % 0.00/0.07 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.07/0.25 % Computer : n012.cluster.edu % 0.07/0.25 % Model : x86_64 x86_64 % 0.07/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.07/0.25 % Memory : 8042.1875MB % 0.07/0.25 % OS : Linux 3.10.0-693.el7.x86_64 % 0.07/0.25 % CPULimit : 300 % 0.07/0.25 % WCLimit : 300 % 0.07/0.25 % DateTime : Tue Jun 2 00:54:18 EDT 2026 % 0.07/0.25 % CPUTime : % 0.16/0.33 %----Proving TF0_NAR, FOF, or CNF % 0.16/0.34 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.16/0.40 % SZS status Unsatisfiable % 0.16/0.40 % SZS output start Proof % 0.16/0.41 ( % 0.16/0.41 (declare-sort $$unsorted 0) % 0.16/0.41 (declare-const tptp.b $$unsorted) % 0.16/0.41 (declare-const tptp.a $$unsorted) % 0.16/0.41 (declare-const tptp.least_upper_bound (-> $$unsorted $$unsorted $$unsorted)) % 0.16/0.41 (declare-const tptp.greatest_lower_bound (-> $$unsorted $$unsorted $$unsorted)) % 0.16/0.41 (declare-const tptp.inverse (-> $$unsorted $$unsorted)) % 0.16/0.41 (declare-const tptp.multiply (-> $$unsorted $$unsorted $$unsorted)) % 0.16/0.41 (declare-const tptp.identity $$unsorted) % 0.16/0.41 (define @t1 () (@var "X" $$unsorted)) % 0.16/0.41 (define @t2 () (tptp.multiply tptp.identity @t1)) % 0.16/0.41 (define @t3 () (@list @t1)) % 0.16/0.41 (define @t4 () (forall @t3 (= @t2 @t1))) % 0.16/0.41 (define @t5 () (@var "Z" $$unsorted)) % 0.16/0.41 (define @t6 () (@var "Y" $$unsorted)) % 0.16/0.41 (define @t7 () (tptp.multiply @t1 @t6)) % 0.16/0.41 (define @t8 () (@list @t1 @t6 @t5)) % 0.16/0.41 (define @t9 () (tptp.greatest_lower_bound @t1 @t6)) % 0.16/0.41 (define @t10 () (@list @t1 @t6)) % 0.16/0.41 (define @t11 () (tptp.least_upper_bound @t1 @t6)) % 0.16/0.41 (define @t12 () (tptp.greatest_lower_bound @t6 @t5)) % 0.16/0.41 (define @t13 () (tptp.least_upper_bound @t6 @t5)) % 0.16/0.41 (define @t14 () (tptp.greatest_lower_bound @t1 @t1)) % 0.16/0.41 (define @t15 () (forall @t3 (= @t14 @t1))) % 0.16/0.41 (define @t16 () (tptp.least_upper_bound @t1 @t9)) % 0.16/0.41 (define @t17 () (forall @t10 (= @t16 @t1))) % 0.16/0.41 (define @t18 () (tptp.greatest_lower_bound @t1 @t11)) % 0.16/0.41 (define @t19 () (forall @t10 (= @t18 @t1))) % 0.16/0.41 (define @t20 () (tptp.multiply @t1 @t5)) % 0.16/0.41 (define @t21 () (tptp.multiply @t5 @t1)) % 0.16/0.41 (define @t22 () (tptp.multiply @t6 @t1)) % 0.16/0.41 (define @t23 () (@list @t6 @t5 @t1)) % 0.16/0.41 (define @t24 () (tptp.greatest_lower_bound tptp.identity tptp.a)) % 0.16/0.41 (define @t25 () (tptp.greatest_lower_bound tptp.identity tptp.b)) % 0.16/0.41 (define @t26 () (tptp.multiply tptp.a tptp.b)) % 0.16/0.41 (define @t27 () (tptp.greatest_lower_bound tptp.identity @t26)) % 0.16/0.41 (define @t28 () (tptp.greatest_lower_bound tptp.b tptp.a)) % 0.16/0.41 (define @t29 () (@list tptp.b)) % 0.16/0.41 (define @t30 () (tptp.greatest_lower_bound tptp.a tptp.identity)) % 0.16/0.41 (define @t31 () (tptp.multiply @t30 tptp.b)) % 0.16/0.41 (define @t32 () (= tptp.identity @t24)) % 0.16/0.41 (define @t33 () (= tptp.identity @t25)) % 0.16/0.41 (define @t34 () (= @t24 @t30)) % 0.16/0.41 (define @t35 () (tptp.greatest_lower_bound @t25 tptp.a)) % 0.16/0.41 (define @t36 () (tptp.greatest_lower_bound tptp.identity @t28)) % 0.16/0.41 (define @t37 () (= @t36 @t35)) % 0.16/0.41 (define @t38 () (tptp.greatest_lower_bound @t25 @t26)) % 0.16/0.41 (define @t39 () (tptp.greatest_lower_bound tptp.b @t26)) % 0.16/0.41 (define @t40 () (= (tptp.greatest_lower_bound tptp.identity @t39) @t38)) % 0.16/0.41 (define @t41 () (tptp.greatest_lower_bound @t28 tptp.identity)) % 0.16/0.41 (define @t42 () (= @t36 @t41)) % 0.16/0.41 (define @t43 () (tptp.greatest_lower_bound tptp.b tptp.b)) % 0.16/0.41 (define @t44 () (= tptp.b @t43)) % 0.16/0.41 (define @t45 () (tptp.least_upper_bound tptp.a @t30)) % 0.16/0.41 (define @t46 () (= tptp.a @t45)) % 0.16/0.41 (define @t47 () (tptp.least_upper_bound @t26 @t31)) % 0.16/0.41 (define @t48 () (tptp.multiply @t45 tptp.b)) % 0.16/0.41 (define @t49 () (= @t48 @t47)) % 0.16/0.41 (define @t50 () (= tptp.b (tptp.multiply tptp.identity tptp.b))) % 0.16/0.41 (define @t51 () (tptp.least_upper_bound @t31 @t26)) % 0.16/0.41 (define @t52 () (= @t47 @t51)) % 0.16/0.41 (define @t53 () (tptp.greatest_lower_bound @t31 @t51)) % 0.16/0.41 (define @t54 () (= @t31 @t53)) % 0.16/0.41 (define @t55 () (= tptp.identity @t27)) % 0.16/0.41 (define @t56 () (and @t32 @t33 @t34 @t37 @t40 @t42 @t44 @t46 @t49 @t50 @t52 @t54)) % 0.16/0.41 (assume @p1 @t4) % 0.16/0.41 (assume @p2 (forall @t3 (= (tptp.multiply (tptp.inverse @t1) @t1) tptp.identity))) % 0.16/0.41 (assume @p3 (forall @t8 (= (tptp.multiply @t7 @t5) (tptp.multiply @t1 (tptp.multiply @t6 @t5))))) % 0.16/0.41 (assume @p4 (forall @t10 (= @t9 (tptp.greatest_lower_bound @t6 @t1)))) % 0.16/0.41 (assume @p5 (forall @t10 (= @t11 (tptp.least_upper_bound @t6 @t1)))) % 0.16/0.41 (assume @p6 (forall @t8 (= (tptp.greatest_lower_bound @t1 @t12) (tptp.greatest_lower_bound @t9 @t5)))) % 0.16/0.41 (assume @p7 (forall @t8 (= (tptp.least_upper_bound @t1 @t13) (tptp.least_upper_bound @t11 @t5)))) % 0.16/0.41 (assume @p8 (forall @t3 (= (tptp.least_upper_bound @t1 @t1) @t1))) % 0.16/0.41 (assume @p9 @t15) % 0.16/0.41 (assume @p10 @t17) % 0.16/0.41 (assume @p11 @t19) % 0.16/0.41 (assume @p12 (forall @t8 (= (tptp.multiply @t1 @t13) (tptp.least_upper_bound @t7 @t20)))) % 0.16/0.41 (assume @p13 (forall @t8 (= (tptp.multiply @t1 @t12) (tptp.greatest_lower_bound @t7 @t20)))) % 0.16/0.41 (assume @p14 (forall @t23 (= (tptp.multiply @t13 @t1) (tptp.least_upper_bound @t22 @t21)))) % 0.16/0.41 (assume @p15 (forall @t23 (= (tptp.multiply @t12 @t1) (tptp.greatest_lower_bound @t22 @t21)))) % 0.16/0.41 (assume @p16 (= @t24 tptp.identity)) % 0.16/0.41 (assume @p17 (= @t25 tptp.identity)) % 0.16/0.41 (assume @p18 (not (= @t27 tptp.identity))) % 0.16/0.41 (step @p19 :rule symm :premises (@p16)) % 0.16/0.41 (step @p20 :rule symm :premises (@p17)) % 0.16/0.41 (step @p21 :rule symm :premises (@p18)) % 0.16/0.41 (step @p22 :rule instantiate :premises (@p4) :args ((@list tptp.identity tptp.a))) % 0.16/0.41 (step @p23 :rule instantiate :premises (@p6) :args ((@list tptp.identity tptp.b tptp.a))) % 0.16/0.41 (step @p24 :rule instantiate :premises (@p6) :args ((@list tptp.identity tptp.b @t26))) % 0.16/0.41 (step @p25 :rule instantiate :premises (@p4) :args ((@list tptp.identity @t28))) % 0.16/0.41 (step @p26 :rule eq-symm :args (@t14 @t1)) % 0.16/0.41 (step @p27 :rule cong :premises (@p26) :args (@t15)) % 0.16/0.41 (step @p28 :rule eq_resolve :premises (@p9 @p27)) % 0.16/0.41 (step @p29 :rule instantiate :premises (@p28) :args (@t29)) % 0.16/0.41 (step @p30 :rule eq-symm :args (@t16 @t1)) % 0.16/0.41 (step @p31 :rule cong :premises (@p30) :args (@t17)) % 0.16/0.41 (step @p32 :rule eq_resolve :premises (@p10 @p31)) % 0.16/0.41 (step @p33 :rule instantiate :premises (@p32) :args ((@list tptp.a tptp.identity))) % 0.16/0.41 (step @p34 :rule instantiate :premises (@p14) :args ((@list tptp.a @t30 tptp.b))) % 0.16/0.41 (step @p35 :rule eq-symm :args (@t2 @t1)) % 0.16/0.41 (step @p36 :rule cong :premises (@p35) :args (@t4)) % 0.16/0.41 (step @p37 :rule eq_resolve :premises (@p1 @p36)) % 0.16/0.41 (step @p38 :rule instantiate :premises (@p37) :args (@t29)) % 0.16/0.41 (step @p39 :rule instantiate :premises (@p5) :args ((@list @t26 @t31))) % 0.16/0.41 (step @p40 :rule eq-symm :args (@t18 @t1)) % 0.16/0.41 (step @p41 :rule cong :premises (@p40) :args (@t19)) % 0.16/0.41 (step @p42 :rule eq_resolve :premises (@p11 @p41)) % 0.16/0.41 (step @p43 :rule instantiate :premises (@p42) :args ((@list @t31 @t26))) % 0.16/0.41 (assume-push @p102 @t32) % 0.16/0.41 (assume-push @p103 @t33) % 0.16/0.41 (assume-push @p104 @t34) % 0.16/0.41 (assume-push @p105 @t37) % 0.16/0.41 (assume-push @p106 @t40) % 0.16/0.41 (assume-push @p107 @t42) % 0.16/0.41 (assume-push @p108 @t44) % 0.16/0.41 (assume-push @p109 @t46) % 0.16/0.41 (assume-push @p110 @t49) % 0.16/0.41 (assume-push @p111 @t50) % 0.16/0.41 (assume-push @p112 @t52) % 0.16/0.41 (assume-push @p113 @t54) % 0.16/0.41 (step @p56 :rule refl :args (@t26)) % 0.16/0.41 (step @p57 :rule cong :premises (@p17 @p56) :args (@t38)) % 0.16/0.41 (step @p58 :rule refl :args (@t39)) % 0.16/0.41 (step @p59 :rule refl :args (tptp.a)) % 0.16/0.41 (step @p60 :rule cong :premises (@p17 @p59) :args (@t35)) % 0.16/0.41 (step @p61 :rule symm :premises (@p25)) % 0.16/0.41 (step @p62 :rule trans :premises (@p61 @p23 @p60 @p16)) % 0.16/0.41 (step @p63 :rule cong :premises (@p62 @p58) :args ((tptp.greatest_lower_bound @t41 @t39))) % 0.16/0.41 (step @p64 :rule symm :premises (@p29)) % 0.16/0.41 (step @p65 :rule cong :premises (@p64 @p56) :args ((tptp.greatest_lower_bound @t43 @t26))) % 0.16/0.41 (step @p66 :rule refl :args (tptp.b)) % 0.16/0.41 (step @p67 :rule symm :premises (@p33)) % 0.16/0.41 (step @p68 :rule cong :premises (@p67 @p66) :args (@t48)) % 0.16/0.41 (step @p69 :rule symm :premises (@p34)) % 0.16/0.41 (step @p70 :rule symm :premises (@p39)) % 0.16/0.41 (step @p71 :rule trans :premises (@p70 @p69 @p68)) % 0.16/0.41 (step @p72 :rule symm :premises (@p38)) % 0.16/0.41 (step @p73 :rule symm :premises (@p22)) % 0.16/0.41 (step @p74 :rule trans :premises (@p73 @p16)) % 0.16/0.41 (step @p75 :rule cong :premises (@p74 @p66) :args (@t31)) % 0.16/0.41 (step @p76 :rule trans :premises (@p75 @p72)) % 0.16/0.41 (step @p77 :rule trans :premises (@p76 @p29)) % 0.16/0.41 (step @p78 :rule cong :premises (@p77 @p71) :args (@t53)) % 0.16/0.41 (step @p79 :rule symm :premises (@p75)) % 0.16/0.41 (step @p80 :rule trans :premises (@p38 @p79 @p43 @p78 @p65)) % 0.16/0.41 (step @p81 :rule symm :premises (@p62)) % 0.16/0.41 (step @p82 :rule cong :premises (@p81 @p80) :args (@t25)) % 0.16/0.41 (step @p83 :rule trans :premises (@p20 @p82 @p63 @p24 @p57)) % 0.16/0.41 (step-pop @p114 :rule scope :premises (@p83)) % 0.16/0.41 (step-pop @p115 :rule scope :premises (@p114)) % 0.16/0.41 (step-pop @p116 :rule scope :premises (@p115)) % 0.16/0.41 (step-pop @p117 :rule scope :premises (@p116)) % 0.16/0.41 (step-pop @p118 :rule scope :premises (@p117)) % 0.16/0.41 (step-pop @p119 :rule scope :premises (@p118)) % 0.16/0.41 (step-pop @p120 :rule scope :premises (@p119)) % 0.16/0.41 (step-pop @p121 :rule scope :premises (@p120)) % 0.16/0.41 (step-pop @p122 :rule scope :premises (@p121)) % 0.16/0.41 (step-pop @p123 :rule scope :premises (@p122)) % 0.16/0.41 (step-pop @p124 :rule scope :premises (@p123)) % 0.16/0.41 (step-pop @p125 :rule scope :premises (@p124)) % 0.16/0.41 (step @p84 :rule process_scope :premises (@p125) :args (@t55)) % 0.16/0.41 (step @p97 :rule implies_elim :premises (@p84)) % 0.16/0.41 (step @p98 :rule cnf_and_neg :args (@t56)) % 0.16/0.41 (step @p99 :rule resolution :premises (@p98 @p97) :args (true @t56)) % 0.16/0.41 (step @p100 :rule reordering :premises (@p99) :args ((or @t55 (not @t32) (not @t33) (not @t34) (not @t37) (not @t40) (not @t42) (not @t44) (not @t46) (not @t49) (not @t50) (not @t52) (not @t54)))) % 0.16/0.41 (step @p101 false :rule chain_m_resolution :premises (@p100 @p43 @p39 @p38 @p34 @p33 @p29 @p25 @p24 @p23 @p22 @p21 @p20 @p19) :args (false (@list false false false false false false false false false false true false false) (@list @t54 @t52 @t50 @t49 @t46 @t44 @t42 @t40 @t37 @t34 @t55 @t33 @t32))) % 0.16/0.41 ) % 0.16/0.41 % SZS output end Proof % 0.16/0.41 % cvc5 exiting %------------------------------------------------------------------------------