%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GRP171-2 : 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 : n028.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 0.31s 0.56s % Output : Proof 0.39s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GRP171-2 : TPTP v9.2.1. Bugfixed v1.2.1. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n028.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 00:54:35 EDT 2026 % 0.17/0.34 % CPUTime : % 0.31/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.31/0.51 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.31/0.56 % SZS status Unsatisfiable % 0.31/0.56 % SZS output start Proof % 0.39/0.57 ( % 0.39/0.57 (declare-sort $$unsorted 0) % 0.39/0.57 (declare-const tptp.b $$unsorted) % 0.39/0.57 (declare-const tptp.a $$unsorted) % 0.39/0.57 (declare-const tptp.least_upper_bound (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.57 (declare-const tptp.greatest_lower_bound (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.57 (declare-const tptp.inverse (-> $$unsorted $$unsorted)) % 0.39/0.57 (declare-const tptp.multiply (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.57 (declare-const tptp.identity $$unsorted) % 0.39/0.57 (define @t1 () (@var "X" $$unsorted)) % 0.39/0.57 (define @t2 () (tptp.multiply tptp.identity @t1)) % 0.39/0.57 (define @t3 () (@list @t1)) % 0.39/0.57 (define @t4 () (forall @t3 (= @t2 @t1))) % 0.39/0.57 (define @t5 () (@var "Z" $$unsorted)) % 0.39/0.57 (define @t6 () (@var "Y" $$unsorted)) % 0.39/0.57 (define @t7 () (tptp.multiply @t1 @t6)) % 0.39/0.57 (define @t8 () (@list @t1 @t6 @t5)) % 0.39/0.57 (define @t9 () (tptp.greatest_lower_bound @t1 @t6)) % 0.39/0.57 (define @t10 () (@list @t1 @t6)) % 0.39/0.57 (define @t11 () (tptp.least_upper_bound @t1 @t6)) % 0.39/0.57 (define @t12 () (tptp.greatest_lower_bound @t6 @t5)) % 0.39/0.57 (define @t13 () (tptp.least_upper_bound @t6 @t5)) % 0.39/0.57 (define @t14 () (tptp.greatest_lower_bound @t1 @t11)) % 0.39/0.57 (define @t15 () (forall @t10 (= @t14 @t1))) % 0.39/0.57 (define @t16 () (tptp.multiply @t1 @t5)) % 0.39/0.57 (define @t17 () (tptp.multiply @t5 @t1)) % 0.39/0.57 (define @t18 () (tptp.multiply @t6 @t1)) % 0.39/0.57 (define @t19 () (@list @t6 @t5 @t1)) % 0.39/0.57 (define @t20 () (tptp.least_upper_bound tptp.identity tptp.a)) % 0.39/0.57 (define @t21 () (tptp.least_upper_bound tptp.identity tptp.b)) % 0.39/0.57 (define @t22 () (tptp.multiply tptp.a tptp.b)) % 0.39/0.57 (define @t23 () (tptp.greatest_lower_bound tptp.identity @t22)) % 0.39/0.57 (define @t24 () (tptp.multiply tptp.identity tptp.b)) % 0.39/0.57 (define @t25 () (= tptp.a @t20)) % 0.39/0.57 (define @t26 () (= tptp.b @t21)) % 0.39/0.57 (define @t27 () (tptp.greatest_lower_bound tptp.identity @t21)) % 0.39/0.57 (define @t28 () (= tptp.identity @t27)) % 0.39/0.57 (define @t29 () (tptp.least_upper_bound @t24 @t22)) % 0.39/0.57 (define @t30 () (tptp.multiply @t20 tptp.b)) % 0.39/0.57 (define @t31 () (= @t30 @t29)) % 0.39/0.57 (define @t32 () (= tptp.b @t24)) % 0.39/0.57 (define @t33 () (tptp.greatest_lower_bound @t27 @t22)) % 0.39/0.57 (define @t34 () (= (tptp.greatest_lower_bound tptp.identity (tptp.greatest_lower_bound @t21 @t22)) @t33)) % 0.39/0.57 (define @t35 () (tptp.greatest_lower_bound @t24 @t29)) % 0.39/0.57 (define @t36 () (= @t24 @t35)) % 0.39/0.57 (define @t37 () (= tptp.identity @t23)) % 0.39/0.57 (define @t38 () (and @t25 @t26 @t28 @t31 @t32 @t34 @t36)) % 0.39/0.57 (assume @p1 @t4) % 0.39/0.57 (assume @p2 (forall @t3 (= (tptp.multiply (tptp.inverse @t1) @t1) tptp.identity))) % 0.39/0.57 (assume @p3 (forall @t8 (= (tptp.multiply @t7 @t5) (tptp.multiply @t1 (tptp.multiply @t6 @t5))))) % 0.39/0.57 (assume @p4 (forall @t10 (= @t9 (tptp.greatest_lower_bound @t6 @t1)))) % 0.39/0.57 (assume @p5 (forall @t10 (= @t11 (tptp.least_upper_bound @t6 @t1)))) % 0.39/0.57 (assume @p6 (forall @t8 (= (tptp.greatest_lower_bound @t1 @t12) (tptp.greatest_lower_bound @t9 @t5)))) % 0.39/0.57 (assume @p7 (forall @t8 (= (tptp.least_upper_bound @t1 @t13) (tptp.least_upper_bound @t11 @t5)))) % 0.39/0.57 (assume @p8 (forall @t3 (= (tptp.least_upper_bound @t1 @t1) @t1))) % 0.39/0.57 (assume @p9 (forall @t3 (= (tptp.greatest_lower_bound @t1 @t1) @t1))) % 0.39/0.57 (assume @p10 (forall @t10 (= (tptp.least_upper_bound @t1 @t9) @t1))) % 0.39/0.57 (assume @p11 @t15) % 0.39/0.57 (assume @p12 (forall @t8 (= (tptp.multiply @t1 @t13) (tptp.least_upper_bound @t7 @t16)))) % 0.39/0.57 (assume @p13 (forall @t8 (= (tptp.multiply @t1 @t12) (tptp.greatest_lower_bound @t7 @t16)))) % 0.39/0.57 (assume @p14 (forall @t19 (= (tptp.multiply @t13 @t1) (tptp.least_upper_bound @t18 @t17)))) % 0.39/0.57 (assume @p15 (forall @t19 (= (tptp.multiply @t12 @t1) (tptp.greatest_lower_bound @t18 @t17)))) % 0.39/0.57 (assume @p16 (= @t20 tptp.a)) % 0.39/0.57 (assume @p17 (= @t21 tptp.b)) % 0.39/0.57 (assume @p18 (not (= @t23 tptp.identity))) % 0.39/0.57 (step @p19 :rule symm :premises (@p16)) % 0.39/0.57 (step @p20 :rule symm :premises (@p17)) % 0.39/0.57 (step @p21 :rule symm :premises (@p18)) % 0.39/0.57 (step @p22 :rule eq-symm :args (@t14 @t1)) % 0.39/0.57 (step @p23 :rule cong :premises (@p22) :args (@t15)) % 0.39/0.57 (step @p24 :rule eq_resolve :premises (@p11 @p23)) % 0.39/0.57 (step @p25 :rule instantiate :premises (@p24) :args ((@list tptp.identity tptp.b))) % 0.39/0.57 (step @p26 :rule instantiate :premises (@p14) :args ((@list tptp.identity tptp.a tptp.b))) % 0.39/0.57 (step @p27 :rule eq-symm :args (@t2 @t1)) % 0.39/0.57 (step @p28 :rule cong :premises (@p27) :args (@t4)) % 0.39/0.57 (step @p29 :rule eq_resolve :premises (@p1 @p28)) % 0.39/0.57 (step @p30 :rule instantiate :premises (@p29) :args ((@list tptp.b))) % 0.39/0.57 (step @p31 :rule instantiate :premises (@p6) :args ((@list tptp.identity @t21 @t22))) % 0.39/0.57 (step @p32 :rule instantiate :premises (@p24) :args ((@list @t24 @t22))) % 0.39/0.57 (assume-push @p67 @t25) % 0.39/0.57 (assume-push @p68 @t26) % 0.39/0.57 (assume-push @p69 @t28) % 0.39/0.57 (assume-push @p70 @t31) % 0.39/0.57 (assume-push @p71 @t32) % 0.39/0.57 (assume-push @p72 @t34) % 0.39/0.57 (assume-push @p73 @t36) % 0.39/0.57 (step @p40 :rule refl :args (@t22)) % 0.39/0.57 (step @p41 :rule symm :premises (@p25)) % 0.39/0.57 (step @p42 :rule cong :premises (@p41 @p40) :args (@t33)) % 0.39/0.57 (step @p43 :rule refl :args (tptp.b)) % 0.39/0.57 (step @p44 :rule cong :premises (@p16 @p43) :args (@t30)) % 0.39/0.57 (step @p45 :rule symm :premises (@p26)) % 0.39/0.57 (step @p46 :rule trans :premises (@p45 @p44)) % 0.39/0.57 (step @p47 :rule symm :premises (@p30)) % 0.39/0.57 (step @p48 :rule trans :premises (@p47 @p20)) % 0.39/0.57 (step @p49 :rule cong :premises (@p48 @p46) :args (@t35)) % 0.39/0.57 (step @p50 :rule trans :premises (@p17 @p30 @p32 @p49)) % 0.39/0.57 (step @p51 :rule refl :args (tptp.identity)) % 0.39/0.57 (step @p52 :rule cong :premises (@p51 @p50) :args (@t27)) % 0.39/0.57 (step @p53 :rule trans :premises (@p25 @p52 @p31 @p42)) % 0.39/0.57 (step-pop @p74 :rule scope :premises (@p53)) % 0.39/0.57 (step-pop @p75 :rule scope :premises (@p74)) % 0.39/0.57 (step-pop @p76 :rule scope :premises (@p75)) % 0.39/0.57 (step-pop @p77 :rule scope :premises (@p76)) % 0.39/0.57 (step-pop @p78 :rule scope :premises (@p77)) % 0.39/0.57 (step-pop @p79 :rule scope :premises (@p78)) % 0.39/0.57 (step-pop @p80 :rule scope :premises (@p79)) % 0.39/0.57 (step @p54 :rule process_scope :premises (@p80) :args (@t37)) % 0.39/0.57 (step @p62 :rule implies_elim :premises (@p54)) % 0.39/0.57 (step @p63 :rule cnf_and_neg :args (@t38)) % 0.39/0.57 (step @p64 :rule resolution :premises (@p63 @p62) :args (true @t38)) % 0.39/0.57 (step @p65 :rule reordering :premises (@p64) :args ((or @t37 (not @t25) (not @t26) (not @t28) (not @t31) (not @t32) (not @t34) (not @t36)))) % 0.39/0.57 (step @p66 false :rule chain_m_resolution :premises (@p65 @p32 @p31 @p30 @p26 @p25 @p21 @p20 @p19) :args (false (@list false false false false false true false false) (@list @t36 @t34 @t32 @t31 @t28 @t37 @t26 @t25))) % 0.39/0.57 ) % 0.39/0.57 % SZS output end Proof % 0.39/0.57 % cvc5 exiting %------------------------------------------------------------------------------