%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GRP152-1 : 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 : 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 08:20:01 AM UTC 2026 % Result : Unsatisfiable 0.28s 0.56s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GRP152-1 : 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 : n028.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 00:54:20 EDT 2026 % 0.16/0.34 % CPUTime : % 0.28/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.28/0.51 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.28/0.56 % SZS status Unsatisfiable % 0.28/0.56 % SZS output start Proof % 0.38/0.56 ( % 0.38/0.56 (declare-sort $$unsorted 0) % 0.38/0.56 (declare-const tptp.a $$unsorted) % 0.38/0.56 (declare-const tptp.b $$unsorted) % 0.38/0.56 (declare-const tptp.least_upper_bound (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.56 (declare-const tptp.greatest_lower_bound (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.56 (declare-const tptp.inverse (-> $$unsorted $$unsorted)) % 0.38/0.56 (declare-const tptp.multiply (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.56 (declare-const tptp.identity $$unsorted) % 0.38/0.56 (define @t1 () (@var "X" $$unsorted)) % 0.38/0.56 (define @t2 () (@list @t1)) % 0.38/0.56 (define @t3 () (@var "Z" $$unsorted)) % 0.38/0.56 (define @t4 () (@var "Y" $$unsorted)) % 0.38/0.56 (define @t5 () (tptp.multiply @t1 @t4)) % 0.38/0.56 (define @t6 () (@list @t1 @t4 @t3)) % 0.38/0.56 (define @t7 () (tptp.greatest_lower_bound @t1 @t4)) % 0.38/0.56 (define @t8 () (@list @t1 @t4)) % 0.38/0.56 (define @t9 () (tptp.least_upper_bound @t1 @t4)) % 0.38/0.56 (define @t10 () (tptp.greatest_lower_bound @t4 @t3)) % 0.38/0.56 (define @t11 () (tptp.least_upper_bound @t4 @t3)) % 0.38/0.56 (define @t12 () (forall @t6 (= (tptp.least_upper_bound @t1 @t11) (tptp.least_upper_bound @t9 @t3)))) % 0.38/0.56 (define @t13 () (tptp.least_upper_bound @t1 @t7)) % 0.38/0.56 (define @t14 () (forall @t8 (= @t13 @t1))) % 0.38/0.56 (define @t15 () (tptp.greatest_lower_bound @t1 @t9)) % 0.38/0.56 (define @t16 () (forall @t8 (= @t15 @t1))) % 0.38/0.56 (define @t17 () (tptp.multiply @t1 @t3)) % 0.38/0.56 (define @t18 () (tptp.multiply @t3 @t1)) % 0.38/0.56 (define @t19 () (tptp.multiply @t4 @t1)) % 0.38/0.56 (define @t20 () (@list @t4 @t3 @t1)) % 0.38/0.56 (define @t21 () (tptp.least_upper_bound tptp.a tptp.b)) % 0.38/0.56 (define @t22 () (tptp.least_upper_bound tptp.b @t21)) % 0.38/0.56 (define @t23 () (@list tptp.b @t21)) % 0.38/0.56 (define @t24 () (tptp.least_upper_bound tptp.a (tptp.least_upper_bound tptp.b tptp.b))) % 0.38/0.56 (define @t25 () (tptp.least_upper_bound @t21 tptp.b)) % 0.38/0.56 (define @t26 () (= @t24 @t25)) % 0.38/0.56 (define @t27 () (@list tptp.a tptp.b tptp.b)) % 0.38/0.56 (define @t28 () (= @t25 @t24)) % 0.38/0.56 (define @t29 () (= @t22 @t25)) % 0.38/0.56 (define @t30 () (tptp.greatest_lower_bound tptp.b @t22)) % 0.38/0.56 (define @t31 () (= tptp.b @t30)) % 0.38/0.56 (define @t32 () (tptp.least_upper_bound tptp.b @t30)) % 0.38/0.56 (define @t33 () (= tptp.b @t32)) % 0.38/0.56 (define @t34 () (= @t21 @t22)) % 0.38/0.56 (define @t35 () (and @t29 @t31 @t28 @t33)) % 0.38/0.56 (assume @p1 (forall @t2 (= (tptp.multiply tptp.identity @t1) @t1))) % 0.38/0.56 (assume @p2 (forall @t2 (= (tptp.multiply (tptp.inverse @t1) @t1) tptp.identity))) % 0.38/0.56 (assume @p3 (forall @t6 (= (tptp.multiply @t5 @t3) (tptp.multiply @t1 (tptp.multiply @t4 @t3))))) % 0.38/0.56 (assume @p4 (forall @t8 (= @t7 (tptp.greatest_lower_bound @t4 @t1)))) % 0.38/0.56 (assume @p5 (forall @t8 (= @t9 (tptp.least_upper_bound @t4 @t1)))) % 0.38/0.56 (assume @p6 (forall @t6 (= (tptp.greatest_lower_bound @t1 @t10) (tptp.greatest_lower_bound @t7 @t3)))) % 0.38/0.56 (assume @p7 @t12) % 0.38/0.56 (assume @p8 (forall @t2 (= (tptp.least_upper_bound @t1 @t1) @t1))) % 0.38/0.56 (assume @p9 (forall @t2 (= (tptp.greatest_lower_bound @t1 @t1) @t1))) % 0.38/0.56 (assume @p10 @t14) % 0.38/0.56 (assume @p11 @t16) % 0.38/0.56 (assume @p12 (forall @t6 (= (tptp.multiply @t1 @t11) (tptp.least_upper_bound @t5 @t17)))) % 0.38/0.56 (assume @p13 (forall @t6 (= (tptp.multiply @t1 @t10) (tptp.greatest_lower_bound @t5 @t17)))) % 0.38/0.56 (assume @p14 (forall @t20 (= (tptp.multiply @t11 @t1) (tptp.least_upper_bound @t19 @t18)))) % 0.38/0.56 (assume @p15 (forall @t20 (= (tptp.multiply @t10 @t1) (tptp.greatest_lower_bound @t19 @t18)))) % 0.38/0.56 (assume @p16 (not (= @t22 @t21))) % 0.38/0.56 (step @p17 :rule symm :premises (@p16)) % 0.38/0.56 (step @p18 :rule instantiate :premises (@p5) :args (@t23)) % 0.38/0.56 (step @p19 :rule eq-symm :args (@t15 @t1)) % 0.38/0.56 (step @p20 :rule cong :premises (@p19) :args (@t16)) % 0.38/0.56 (step @p21 :rule eq_resolve :premises (@p11 @p20)) % 0.38/0.56 (step @p22 :rule instantiate :premises (@p21) :args (@t23)) % 0.38/0.56 (step @p23 :rule eq-symm :args (@t24 @t25)) % 0.38/0.56 (step @p24 :rule refl :args (@t12)) % 0.38/0.56 (step @p25 :rule cong :premises (@p24 @p23) :args ((=> @t12 @t26))) % 0.38/0.56 (assume-push @p59 @t12) % 0.38/0.56 (step @p27 :rule instantiate :premises (@p7) :args (@t27)) % 0.38/0.56 (step-pop @p60 :rule scope :premises (@p27)) % 0.38/0.56 (step @p28 :rule process_scope :premises (@p60) :args (@t26)) % 0.38/0.56 (step @p30 :rule eq_resolve :premises (@p28 @p25)) % 0.38/0.56 (step @p31 :rule implies_elim :premises (@p30)) % 0.38/0.56 (step @p32 :rule chain_m_resolution :premises (@p31 @p7) :args (@t28 (@list false) (@list @t12))) % 0.38/0.56 (step @p33 :rule eq-symm :args (@t13 @t1)) % 0.38/0.56 (step @p34 :rule cong :premises (@p33) :args (@t14)) % 0.38/0.56 (step @p35 :rule eq_resolve :premises (@p10 @p34)) % 0.38/0.56 (step @p36 :rule instantiate :premises (@p35) :args ((@list tptp.b @t22))) % 0.38/0.56 (assume-push @p61 @t29) % 0.38/0.56 (assume-push @p62 @t31) % 0.38/0.56 (assume-push @p63 @t28) % 0.38/0.56 (assume-push @p64 @t33) % 0.38/0.56 (step @p41 :rule symm :premises (@p18)) % 0.38/0.56 (step @p27 :rule instantiate :premises (@p7) :args (@t27)) % 0.38/0.56 (step @p42 :rule symm :premises (@p22)) % 0.38/0.56 (step @p43 :rule refl :args (tptp.b)) % 0.38/0.56 (step @p44 :rule cong :premises (@p43 @p42) :args (@t32)) % 0.38/0.56 (step @p45 :rule trans :premises (@p36 @p44)) % 0.38/0.56 (step @p46 :rule refl :args (tptp.a)) % 0.38/0.56 (step @p47 :rule cong :premises (@p46 @p45) :args (@t21)) % 0.38/0.56 (step @p48 :rule trans :premises (@p47 @p27 @p41)) % 0.38/0.56 (step-pop @p65 :rule scope :premises (@p48)) % 0.38/0.56 (step-pop @p66 :rule scope :premises (@p65)) % 0.38/0.56 (step-pop @p67 :rule scope :premises (@p66)) % 0.38/0.56 (step-pop @p68 :rule scope :premises (@p67)) % 0.38/0.56 (step @p49 :rule process_scope :premises (@p68) :args (@t34)) % 0.38/0.56 (step @p54 :rule implies_elim :premises (@p49)) % 0.38/0.56 (step @p55 :rule cnf_and_neg :args (@t35)) % 0.38/0.56 (step @p56 :rule resolution :premises (@p55 @p54) :args (true @t35)) % 0.38/0.56 (step @p57 :rule reordering :premises (@p56) :args ((or @t34 (not @t29) (not @t31) (not @t28) (not @t33)))) % 0.38/0.56 (step @p58 false :rule chain_m_resolution :premises (@p57 @p36 @p32 @p22 @p18 @p17) :args (false (@list false false false false true) (@list @t33 @t28 @t31 @t29 @t34))) % 0.38/0.56 ) % 0.38/0.56 % SZS output end Proof % 0.38/0.57 % cvc5 exiting %------------------------------------------------------------------------------