%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GRP168-2 : 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 : n015.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 08:20:04 AM UTC 2026 % Result : Unsatisfiable 0.31s 0.54s % Output : Proof 0.31s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GRP168-2 : TPTP v9.2.1. Bugfixed v1.2.1. % 0.11/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.33 % Computer : n015.cluster.edu % 0.16/0.33 % Model : x86_64 x86_64 % 0.16/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.33 % Memory : 8042.1875MB % 0.16/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.33 % CPULimit : 300 % 0.16/0.33 % WCLimit : 300 % 0.16/0.33 % DateTime : Tue Jun 2 00:54:34 EDT 2026 % 0.16/0.34 % CPUTime : % 0.31/0.48 %----Proving TF0_NAR, FOF, or CNF % 0.31/0.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.31/0.54 % SZS status Unsatisfiable % 0.31/0.54 % SZS output start Proof % 0.31/0.54 ( % 0.31/0.54 (declare-sort $$unsorted 0) % 0.31/0.54 (declare-const tptp.c $$unsorted) % 0.31/0.54 (declare-const tptp.b $$unsorted) % 0.31/0.54 (declare-const tptp.a $$unsorted) % 0.31/0.54 (declare-const tptp.least_upper_bound (-> $$unsorted $$unsorted $$unsorted)) % 0.31/0.54 (declare-const tptp.greatest_lower_bound (-> $$unsorted $$unsorted $$unsorted)) % 0.31/0.54 (declare-const tptp.inverse (-> $$unsorted $$unsorted)) % 0.31/0.54 (declare-const tptp.multiply (-> $$unsorted $$unsorted $$unsorted)) % 0.31/0.54 (declare-const tptp.identity $$unsorted) % 0.31/0.54 (define @t1 () (@var "X" $$unsorted)) % 0.31/0.54 (define @t2 () (@list @t1)) % 0.31/0.54 (define @t3 () (@var "Z" $$unsorted)) % 0.31/0.54 (define @t4 () (@var "Y" $$unsorted)) % 0.31/0.54 (define @t5 () (tptp.multiply @t1 @t4)) % 0.31/0.54 (define @t6 () (@list @t1 @t4 @t3)) % 0.31/0.54 (define @t7 () (tptp.greatest_lower_bound @t1 @t4)) % 0.31/0.54 (define @t8 () (@list @t1 @t4)) % 0.31/0.54 (define @t9 () (tptp.least_upper_bound @t1 @t4)) % 0.31/0.54 (define @t10 () (tptp.greatest_lower_bound @t4 @t3)) % 0.31/0.54 (define @t11 () (tptp.least_upper_bound @t4 @t3)) % 0.31/0.54 (define @t12 () (tptp.multiply @t1 @t3)) % 0.31/0.54 (define @t13 () (forall @t6 (= (tptp.multiply @t1 @t10) (tptp.greatest_lower_bound @t5 @t12)))) % 0.31/0.54 (define @t14 () (tptp.multiply @t3 @t1)) % 0.31/0.54 (define @t15 () (tptp.multiply @t4 @t1)) % 0.31/0.54 (define @t16 () (@list @t4 @t3 @t1)) % 0.31/0.54 (define @t17 () (forall @t16 (= (tptp.multiply @t10 @t1) (tptp.greatest_lower_bound @t15 @t14)))) % 0.31/0.54 (define @t18 () (tptp.greatest_lower_bound tptp.a tptp.b)) % 0.31/0.54 (define @t19 () (tptp.multiply tptp.a tptp.c)) % 0.31/0.54 (define @t20 () (tptp.inverse tptp.c)) % 0.31/0.54 (define @t21 () (tptp.multiply @t20 @t19)) % 0.31/0.54 (define @t22 () (tptp.multiply tptp.b tptp.c)) % 0.31/0.54 (define @t23 () (tptp.greatest_lower_bound @t21 (tptp.multiply @t20 @t22))) % 0.31/0.54 (define @t24 () (tptp.greatest_lower_bound @t19 @t22)) % 0.31/0.54 (define @t25 () (tptp.multiply @t20 @t24)) % 0.31/0.54 (define @t26 () (= @t25 @t23)) % 0.31/0.54 (define @t27 () (@list @t20 @t19 @t22)) % 0.31/0.54 (define @t28 () (= @t23 @t25)) % 0.31/0.54 (define @t29 () (@list false)) % 0.31/0.54 (define @t30 () (tptp.multiply @t18 tptp.c)) % 0.31/0.54 (define @t31 () (= @t30 @t24)) % 0.31/0.54 (define @t32 () (@list tptp.a tptp.b tptp.c)) % 0.31/0.54 (define @t33 () (= @t24 @t30)) % 0.31/0.54 (define @t34 () (= tptp.a @t18)) % 0.31/0.54 (define @t35 () (= @t21 @t23)) % 0.31/0.54 (define @t36 () (and @t34 @t28 @t33)) % 0.31/0.54 (assume @p1 (forall @t2 (= (tptp.multiply tptp.identity @t1) @t1))) % 0.31/0.54 (assume @p2 (forall @t2 (= (tptp.multiply (tptp.inverse @t1) @t1) tptp.identity))) % 0.31/0.54 (assume @p3 (forall @t6 (= (tptp.multiply @t5 @t3) (tptp.multiply @t1 (tptp.multiply @t4 @t3))))) % 0.31/0.54 (assume @p4 (forall @t8 (= @t7 (tptp.greatest_lower_bound @t4 @t1)))) % 0.31/0.54 (assume @p5 (forall @t8 (= @t9 (tptp.least_upper_bound @t4 @t1)))) % 0.31/0.54 (assume @p6 (forall @t6 (= (tptp.greatest_lower_bound @t1 @t10) (tptp.greatest_lower_bound @t7 @t3)))) % 0.31/0.54 (assume @p7 (forall @t6 (= (tptp.least_upper_bound @t1 @t11) (tptp.least_upper_bound @t9 @t3)))) % 0.31/0.54 (assume @p8 (forall @t2 (= (tptp.least_upper_bound @t1 @t1) @t1))) % 0.31/0.54 (assume @p9 (forall @t2 (= (tptp.greatest_lower_bound @t1 @t1) @t1))) % 0.31/0.54 (assume @p10 (forall @t8 (= (tptp.least_upper_bound @t1 @t7) @t1))) % 0.31/0.54 (assume @p11 (forall @t8 (= (tptp.greatest_lower_bound @t1 @t9) @t1))) % 0.31/0.54 (assume @p12 (forall @t6 (= (tptp.multiply @t1 @t11) (tptp.least_upper_bound @t5 @t12)))) % 0.31/0.54 (assume @p13 @t13) % 0.31/0.54 (assume @p14 (forall @t16 (= (tptp.multiply @t11 @t1) (tptp.least_upper_bound @t15 @t14)))) % 0.31/0.54 (assume @p15 @t17) % 0.31/0.54 (assume @p16 (= @t18 tptp.a)) % 0.31/0.54 (assume @p17 (not (= @t23 @t21))) % 0.31/0.54 (step @p18 :rule symm :premises (@p16)) % 0.31/0.54 (step @p19 :rule symm :premises (@p17)) % 0.31/0.54 (step @p20 :rule eq-symm :args (@t25 @t23)) % 0.31/0.54 (step @p21 :rule refl :args (@t13)) % 0.31/0.54 (step @p22 :rule cong :premises (@p21 @p20) :args ((=> @t13 @t26))) % 0.31/0.54 (assume-push @p58 @t13) % 0.31/0.54 (step @p24 :rule instantiate :premises (@p13) :args (@t27)) % 0.31/0.54 (step-pop @p59 :rule scope :premises (@p24)) % 0.31/0.54 (step @p25 :rule process_scope :premises (@p59) :args (@t26)) % 0.31/0.54 (step @p27 :rule eq_resolve :premises (@p25 @p22)) % 0.31/0.54 (step @p28 :rule implies_elim :premises (@p27)) % 0.31/0.54 (step @p29 :rule chain_m_resolution :premises (@p28 @p13) :args (@t28 @t29 (@list @t13))) % 0.31/0.54 (step @p30 :rule eq-symm :args (@t30 @t24)) % 0.31/0.54 (step @p31 :rule refl :args (@t17)) % 0.31/0.54 (step @p32 :rule cong :premises (@p31 @p30) :args ((=> @t17 @t31))) % 0.31/0.54 (assume-push @p60 @t17) % 0.31/0.54 (step @p34 :rule instantiate :premises (@p15) :args (@t32)) % 0.31/0.54 (step-pop @p61 :rule scope :premises (@p34)) % 0.31/0.54 (step @p35 :rule process_scope :premises (@p61) :args (@t31)) % 0.31/0.54 (step @p37 :rule eq_resolve :premises (@p35 @p32)) % 0.31/0.54 (step @p38 :rule implies_elim :premises (@p37)) % 0.31/0.54 (step @p39 :rule chain_m_resolution :premises (@p38 @p15) :args (@t33 @t29 (@list @t17))) % 0.31/0.54 (assume-push @p62 @t34) % 0.31/0.54 (assume-push @p63 @t28) % 0.31/0.54 (assume-push @p64 @t33) % 0.31/0.54 (step @p24 :rule instantiate :premises (@p13) :args (@t27)) % 0.31/0.54 (step @p34 :rule instantiate :premises (@p15) :args (@t32)) % 0.31/0.54 (step @p43 :rule refl :args (tptp.c)) % 0.31/0.54 (step @p44 :rule cong :premises (@p18 @p43) :args (@t19)) % 0.31/0.54 (step @p45 :rule trans :premises (@p44 @p34)) % 0.31/0.54 (step @p46 :rule refl :args (@t20)) % 0.31/0.54 (step @p47 :rule cong :premises (@p46 @p45) :args (@t21)) % 0.31/0.54 (step @p48 :rule trans :premises (@p47 @p24)) % 0.31/0.54 (step-pop @p65 :rule scope :premises (@p48)) % 0.31/0.54 (step-pop @p66 :rule scope :premises (@p65)) % 0.31/0.54 (step-pop @p67 :rule scope :premises (@p66)) % 0.31/0.54 (step @p49 :rule process_scope :premises (@p67) :args (@t35)) % 0.31/0.54 (step @p53 :rule implies_elim :premises (@p49)) % 0.31/0.54 (step @p54 :rule cnf_and_neg :args (@t36)) % 0.31/0.54 (step @p55 :rule resolution :premises (@p54 @p53) :args (true @t36)) % 0.31/0.54 (step @p56 :rule reordering :premises (@p55) :args ((or @t35 (not @t34) (not @t28) (not @t33)))) % 0.31/0.54 (step @p57 false :rule chain_m_resolution :premises (@p56 @p39 @p29 @p19 @p18) :args (false (@list false false true false) (@list @t33 @t28 @t35 @t34))) % 0.31/0.54 ) % 0.31/0.55 % SZS output end Proof % 0.31/0.55 % cvc5 exiting %------------------------------------------------------------------------------