%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GRP189-2 : TPTP v9.2.1. Bugfixed v1.2.1. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n006.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 0.31s 0.55s % Output : Proof 0.31s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GRP189-2 : TPTP v9.2.1. Bugfixed v1.2.1. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n006.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 00:56:04 EDT 2026 % 0.16/0.34 % CPUTime : % 0.31/0.49 %----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... % 0.31/0.55 % SZS status Unsatisfiable % 0.31/0.55 % SZS output start Proof % 0.31/0.55 ( % 0.31/0.55 (declare-sort $$unsorted 0) % 0.31/0.55 (declare-const tptp.b $$unsorted) % 0.31/0.55 (declare-const tptp.least_upper_bound (-> $$unsorted $$unsorted $$unsorted)) % 0.31/0.55 (declare-const tptp.greatest_lower_bound (-> $$unsorted $$unsorted $$unsorted)) % 0.31/0.55 (declare-const tptp.a $$unsorted) % 0.31/0.55 (declare-const tptp.inverse (-> $$unsorted $$unsorted)) % 0.31/0.55 (declare-const tptp.multiply (-> $$unsorted $$unsorted $$unsorted)) % 0.31/0.55 (declare-const tptp.identity $$unsorted) % 0.31/0.55 (define @t1 () (@var "X" $$unsorted)) % 0.31/0.55 (define @t2 () (@list @t1)) % 0.31/0.55 (define @t3 () (tptp.inverse @t1)) % 0.31/0.55 (define @t4 () (@var "Z" $$unsorted)) % 0.31/0.55 (define @t5 () (@var "Y" $$unsorted)) % 0.31/0.55 (define @t6 () (tptp.multiply @t1 @t5)) % 0.31/0.55 (define @t7 () (@list @t1 @t5 @t4)) % 0.31/0.55 (define @t8 () (tptp.greatest_lower_bound @t1 @t5)) % 0.31/0.55 (define @t9 () (@list @t1 @t5)) % 0.31/0.55 (define @t10 () (tptp.least_upper_bound @t1 @t5)) % 0.31/0.55 (define @t11 () (tptp.greatest_lower_bound @t5 @t4)) % 0.31/0.55 (define @t12 () (tptp.least_upper_bound @t5 @t4)) % 0.31/0.55 (define @t13 () (tptp.greatest_lower_bound @t1 @t10)) % 0.31/0.55 (define @t14 () (forall @t9 (= @t13 @t1))) % 0.31/0.55 (define @t15 () (tptp.multiply @t1 @t4)) % 0.31/0.55 (define @t16 () (tptp.multiply @t4 @t1)) % 0.31/0.55 (define @t17 () (tptp.multiply @t5 @t1)) % 0.31/0.55 (define @t18 () (@list @t5 @t4 @t1)) % 0.31/0.55 (define @t19 () (tptp.greatest_lower_bound tptp.b (tptp.least_upper_bound tptp.b tptp.a))) % 0.31/0.55 (define @t20 () (= tptp.b @t19)) % 0.31/0.55 (define @t21 () (forall @t9 (= @t1 @t13))) % 0.31/0.55 (assume @p1 (forall @t2 (= (tptp.multiply tptp.identity @t1) @t1))) % 0.31/0.55 (assume @p2 (forall @t2 (= (tptp.multiply @t3 @t1) tptp.identity))) % 0.31/0.55 (assume @p3 (forall @t7 (= (tptp.multiply @t6 @t4) (tptp.multiply @t1 (tptp.multiply @t5 @t4))))) % 0.31/0.55 (assume @p4 (forall @t9 (= @t8 (tptp.greatest_lower_bound @t5 @t1)))) % 0.31/0.55 (assume @p5 (forall @t9 (= @t10 (tptp.least_upper_bound @t5 @t1)))) % 0.31/0.55 (assume @p6 (forall @t7 (= (tptp.greatest_lower_bound @t1 @t11) (tptp.greatest_lower_bound @t8 @t4)))) % 0.31/0.55 (assume @p7 (forall @t7 (= (tptp.least_upper_bound @t1 @t12) (tptp.least_upper_bound @t10 @t4)))) % 0.31/0.55 (assume @p8 (forall @t2 (= (tptp.least_upper_bound @t1 @t1) @t1))) % 0.31/0.55 (assume @p9 (forall @t2 (= (tptp.greatest_lower_bound @t1 @t1) @t1))) % 0.31/0.55 (assume @p10 (forall @t9 (= (tptp.least_upper_bound @t1 @t8) @t1))) % 0.31/0.55 (assume @p11 @t14) % 0.31/0.55 (assume @p12 (forall @t7 (= (tptp.multiply @t1 @t12) (tptp.least_upper_bound @t6 @t15)))) % 0.31/0.55 (assume @p13 (forall @t7 (= (tptp.multiply @t1 @t11) (tptp.greatest_lower_bound @t6 @t15)))) % 0.31/0.55 (assume @p14 (forall @t18 (= (tptp.multiply @t12 @t1) (tptp.least_upper_bound @t17 @t16)))) % 0.31/0.55 (assume @p15 (forall @t18 (= (tptp.multiply @t11 @t1) (tptp.greatest_lower_bound @t17 @t16)))) % 0.31/0.55 (assume @p16 (= (tptp.inverse tptp.identity) tptp.identity)) % 0.31/0.55 (assume @p17 (forall @t2 (= (tptp.inverse @t3) @t1))) % 0.31/0.55 (assume @p18 (forall @t9 (= (tptp.inverse @t6) (tptp.multiply (tptp.inverse @t5) @t3)))) % 0.31/0.55 (assume @p19 (not (= (tptp.greatest_lower_bound tptp.b (tptp.least_upper_bound tptp.a tptp.b)) tptp.b))) % 0.31/0.55 (step @p20 :rule eq-symm :args (@t13 @t1)) % 0.31/0.55 (step @p21 :rule cong :premises (@p20) :args (@t14)) % 0.31/0.55 (step @p22 :rule eq_resolve :premises (@p11 @p21)) % 0.31/0.55 (step @p23 :rule symm :premises (@p19)) % 0.31/0.55 (step @p24 :rule false_intro :premises (@p23)) % 0.31/0.55 (step @p25 :rule instantiate :premises (@p5) :args ((@list tptp.a tptp.b))) % 0.31/0.55 (step @p26 :rule symm :premises (@p25)) % 0.31/0.55 (step @p27 :rule refl :args (tptp.b)) % 0.31/0.55 (step @p28 :rule cong :premises (@p27 @p26) :args (@t19)) % 0.31/0.55 (step @p29 :rule cong :premises (@p27 @p28) :args (@t20)) % 0.31/0.55 (step @p30 :rule trans :premises (@p29 @p24)) % 0.31/0.55 (step @p31 :rule false_elim :premises (@p30)) % 0.31/0.55 (assume-push @p38 @t21) % 0.31/0.55 (step @p33 :rule instantiate :premises (@p22) :args ((@list tptp.b tptp.a))) % 0.31/0.55 (step-pop @p39 :rule scope :premises (@p33)) % 0.31/0.55 (step @p34 :rule process_scope :premises (@p39) :args (@t20)) % 0.31/0.55 (step @p36 :rule implies_elim :premises (@p34)) % 0.31/0.55 (step @p37 false :rule chain_m_resolution :premises (@p36 @p31 @p22) :args (false (@list true false) (@list @t20 @t21))) % 0.31/0.55 ) % 0.31/0.55 % SZS output end Proof % 0.31/0.55 % cvc5 exiting %------------------------------------------------------------------------------