%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GRP188-2 : 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 : 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 08:20:10 AM UTC 2026 % Result : Unsatisfiable 0.37s 0.56s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GRP188-2 : 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 % 0.16/0.34 % Computer : n023.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 00:56:58 EDT 2026 % 0.16/0.34 % CPUTime : % 0.29/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.29/0.51 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.37/0.56 % SZS status Unsatisfiable % 0.37/0.56 % SZS output start Proof % 0.37/0.56 ( % 0.37/0.56 (declare-sort $$unsorted 0) % 0.37/0.56 (declare-const tptp.b $$unsorted) % 0.37/0.56 (declare-const tptp.least_upper_bound (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.56 (declare-const tptp.greatest_lower_bound (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.56 (declare-const tptp.a $$unsorted) % 0.37/0.56 (declare-const tptp.inverse (-> $$unsorted $$unsorted)) % 0.37/0.56 (declare-const tptp.multiply (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.56 (declare-const tptp.identity $$unsorted) % 0.37/0.56 (define @t1 () (@var "X" $$unsorted)) % 0.37/0.56 (define @t2 () (@list @t1)) % 0.37/0.56 (define @t3 () (tptp.inverse @t1)) % 0.37/0.56 (define @t4 () (@var "Z" $$unsorted)) % 0.37/0.56 (define @t5 () (@var "Y" $$unsorted)) % 0.37/0.56 (define @t6 () (tptp.multiply @t1 @t5)) % 0.37/0.56 (define @t7 () (@list @t1 @t5 @t4)) % 0.37/0.56 (define @t8 () (tptp.greatest_lower_bound @t1 @t5)) % 0.37/0.56 (define @t9 () (@list @t1 @t5)) % 0.37/0.56 (define @t10 () (tptp.least_upper_bound @t1 @t5)) % 0.37/0.56 (define @t11 () (tptp.greatest_lower_bound @t5 @t4)) % 0.37/0.56 (define @t12 () (tptp.least_upper_bound @t5 @t4)) % 0.37/0.56 (define @t13 () (forall @t7 (= (tptp.least_upper_bound @t1 @t12) (tptp.least_upper_bound @t10 @t4)))) % 0.37/0.56 (define @t14 () (tptp.least_upper_bound @t1 @t8)) % 0.37/0.56 (define @t15 () (forall @t9 (= @t14 @t1))) % 0.37/0.56 (define @t16 () (tptp.greatest_lower_bound @t1 @t10)) % 0.37/0.56 (define @t17 () (forall @t9 (= @t16 @t1))) % 0.37/0.56 (define @t18 () (tptp.multiply @t1 @t4)) % 0.37/0.56 (define @t19 () (tptp.multiply @t4 @t1)) % 0.37/0.56 (define @t20 () (tptp.multiply @t5 @t1)) % 0.37/0.56 (define @t21 () (@list @t5 @t4 @t1)) % 0.37/0.56 (define @t22 () (tptp.least_upper_bound tptp.a tptp.b)) % 0.37/0.56 (define @t23 () (tptp.least_upper_bound tptp.b @t22)) % 0.37/0.56 (define @t24 () (@list tptp.b @t22)) % 0.37/0.56 (define @t25 () (tptp.least_upper_bound tptp.a (tptp.least_upper_bound tptp.b tptp.b))) % 0.37/0.56 (define @t26 () (tptp.least_upper_bound @t22 tptp.b)) % 0.37/0.56 (define @t27 () (= @t25 @t26)) % 0.37/0.56 (define @t28 () (@list tptp.a tptp.b tptp.b)) % 0.37/0.56 (define @t29 () (= @t26 @t25)) % 0.37/0.56 (define @t30 () (= @t23 @t26)) % 0.37/0.56 (define @t31 () (tptp.greatest_lower_bound tptp.b @t23)) % 0.37/0.56 (define @t32 () (= tptp.b @t31)) % 0.37/0.56 (define @t33 () (tptp.least_upper_bound tptp.b @t31)) % 0.37/0.56 (define @t34 () (= tptp.b @t33)) % 0.37/0.56 (define @t35 () (= @t22 @t23)) % 0.37/0.56 (define @t36 () (and @t30 @t32 @t29 @t34)) % 0.37/0.56 (assume @p1 (forall @t2 (= (tptp.multiply tptp.identity @t1) @t1))) % 0.37/0.56 (assume @p2 (forall @t2 (= (tptp.multiply @t3 @t1) tptp.identity))) % 0.37/0.56 (assume @p3 (forall @t7 (= (tptp.multiply @t6 @t4) (tptp.multiply @t1 (tptp.multiply @t5 @t4))))) % 0.37/0.56 (assume @p4 (forall @t9 (= @t8 (tptp.greatest_lower_bound @t5 @t1)))) % 0.37/0.56 (assume @p5 (forall @t9 (= @t10 (tptp.least_upper_bound @t5 @t1)))) % 0.37/0.56 (assume @p6 (forall @t7 (= (tptp.greatest_lower_bound @t1 @t11) (tptp.greatest_lower_bound @t8 @t4)))) % 0.37/0.56 (assume @p7 @t13) % 0.37/0.56 (assume @p8 (forall @t2 (= (tptp.least_upper_bound @t1 @t1) @t1))) % 0.37/0.56 (assume @p9 (forall @t2 (= (tptp.greatest_lower_bound @t1 @t1) @t1))) % 0.37/0.56 (assume @p10 @t15) % 0.37/0.56 (assume @p11 @t17) % 0.37/0.56 (assume @p12 (forall @t7 (= (tptp.multiply @t1 @t12) (tptp.least_upper_bound @t6 @t18)))) % 0.37/0.56 (assume @p13 (forall @t7 (= (tptp.multiply @t1 @t11) (tptp.greatest_lower_bound @t6 @t18)))) % 0.37/0.56 (assume @p14 (forall @t21 (= (tptp.multiply @t12 @t1) (tptp.least_upper_bound @t20 @t19)))) % 0.37/0.56 (assume @p15 (forall @t21 (= (tptp.multiply @t11 @t1) (tptp.greatest_lower_bound @t20 @t19)))) % 0.37/0.56 (assume @p16 (= (tptp.inverse tptp.identity) tptp.identity)) % 0.37/0.56 (assume @p17 (forall @t2 (= (tptp.inverse @t3) @t1))) % 0.37/0.56 (assume @p18 (forall @t9 (= (tptp.inverse @t6) (tptp.multiply (tptp.inverse @t5) @t3)))) % 0.37/0.56 (assume @p19 (not (= @t23 @t22))) % 0.37/0.56 (step @p20 :rule symm :premises (@p19)) % 0.37/0.56 (step @p21 :rule instantiate :premises (@p5) :args (@t24)) % 0.37/0.56 (step @p22 :rule eq-symm :args (@t16 @t1)) % 0.37/0.56 (step @p23 :rule cong :premises (@p22) :args (@t17)) % 0.37/0.56 (step @p24 :rule eq_resolve :premises (@p11 @p23)) % 0.37/0.56 (step @p25 :rule instantiate :premises (@p24) :args (@t24)) % 0.37/0.56 (step @p26 :rule eq-symm :args (@t25 @t26)) % 0.37/0.56 (step @p27 :rule refl :args (@t13)) % 0.37/0.56 (step @p28 :rule cong :premises (@p27 @p26) :args ((=> @t13 @t27))) % 0.37/0.56 (assume-push @p62 @t13) % 0.37/0.56 (step @p30 :rule instantiate :premises (@p7) :args (@t28)) % 0.37/0.56 (step-pop @p63 :rule scope :premises (@p30)) % 0.37/0.56 (step @p31 :rule process_scope :premises (@p63) :args (@t27)) % 0.37/0.56 (step @p33 :rule eq_resolve :premises (@p31 @p28)) % 0.37/0.56 (step @p34 :rule implies_elim :premises (@p33)) % 0.37/0.56 (step @p35 :rule chain_m_resolution :premises (@p34 @p7) :args (@t29 (@list false) (@list @t13))) % 0.37/0.56 (step @p36 :rule eq-symm :args (@t14 @t1)) % 0.37/0.56 (step @p37 :rule cong :premises (@p36) :args (@t15)) % 0.37/0.56 (step @p38 :rule eq_resolve :premises (@p10 @p37)) % 0.37/0.56 (step @p39 :rule instantiate :premises (@p38) :args ((@list tptp.b @t23))) % 0.37/0.56 (assume-push @p64 @t30) % 0.37/0.56 (assume-push @p65 @t32) % 0.37/0.56 (assume-push @p66 @t29) % 0.37/0.56 (assume-push @p67 @t34) % 0.37/0.56 (step @p44 :rule symm :premises (@p21)) % 0.37/0.56 (step @p30 :rule instantiate :premises (@p7) :args (@t28)) % 0.37/0.56 (step @p45 :rule symm :premises (@p25)) % 0.37/0.56 (step @p46 :rule refl :args (tptp.b)) % 0.37/0.56 (step @p47 :rule cong :premises (@p46 @p45) :args (@t33)) % 0.37/0.56 (step @p48 :rule trans :premises (@p39 @p47)) % 0.37/0.56 (step @p49 :rule refl :args (tptp.a)) % 0.37/0.56 (step @p50 :rule cong :premises (@p49 @p48) :args (@t22)) % 0.37/0.56 (step @p51 :rule trans :premises (@p50 @p30 @p44)) % 0.37/0.56 (step-pop @p68 :rule scope :premises (@p51)) % 0.37/0.56 (step-pop @p69 :rule scope :premises (@p68)) % 0.37/0.56 (step-pop @p70 :rule scope :premises (@p69)) % 0.37/0.56 (step-pop @p71 :rule scope :premises (@p70)) % 0.37/0.56 (step @p52 :rule process_scope :premises (@p71) :args (@t35)) % 0.37/0.56 (step @p57 :rule implies_elim :premises (@p52)) % 0.37/0.56 (step @p58 :rule cnf_and_neg :args (@t36)) % 0.37/0.56 (step @p59 :rule resolution :premises (@p58 @p57) :args (true @t36)) % 0.37/0.56 (step @p60 :rule reordering :premises (@p59) :args ((or @t35 (not @t30) (not @t32) (not @t29) (not @t34)))) % 0.37/0.56 (step @p61 false :rule chain_m_resolution :premises (@p60 @p39 @p35 @p25 @p21 @p20) :args (false (@list false false false false true) (@list @t34 @t29 @t32 @t30 @t35))) % 0.37/0.56 ) % 0.37/0.57 % SZS output end Proof % 0.37/0.57 % cvc5 exiting %------------------------------------------------------------------------------