%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GRP185-3 : 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 : n022.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 08:20:09 AM UTC 2026 % Result : Unsatisfiable 2.32s 2.51s % Output : Proof 2.32s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GRP185-3 : 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 : n022.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 00:55:24 EDT 2026 % 0.16/0.34 % 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... % 2.32/2.51 % SZS status Unsatisfiable % 2.32/2.51 % SZS output start Proof % 2.32/2.52 ( % 2.32/2.52 (declare-sort $$unsorted 0) % 2.32/2.52 (declare-const tptp.a $$unsorted) % 2.32/2.52 (declare-const tptp.b $$unsorted) % 2.32/2.52 (declare-const tptp.least_upper_bound (-> $$unsorted $$unsorted $$unsorted)) % 2.32/2.52 (declare-const tptp.greatest_lower_bound (-> $$unsorted $$unsorted $$unsorted)) % 2.32/2.52 (declare-const tptp.inverse (-> $$unsorted $$unsorted)) % 2.32/2.52 (declare-const tptp.multiply (-> $$unsorted $$unsorted $$unsorted)) % 2.32/2.52 (declare-const tptp.identity $$unsorted) % 2.32/2.52 (define @t1 () (@var "X" $$unsorted)) % 2.32/2.52 (define @t2 () (tptp.multiply tptp.identity @t1)) % 2.32/2.52 (define @t3 () (@list @t1)) % 2.32/2.52 (define @t4 () (forall @t3 (= @t2 @t1))) % 2.32/2.52 (define @t5 () (@var "Z" $$unsorted)) % 2.32/2.52 (define @t6 () (@var "Y" $$unsorted)) % 2.32/2.52 (define @t7 () (tptp.multiply @t1 @t6)) % 2.32/2.52 (define @t8 () (@list @t1 @t6 @t5)) % 2.32/2.52 (define @t9 () (tptp.greatest_lower_bound @t1 @t6)) % 2.32/2.52 (define @t10 () (@list @t1 @t6)) % 2.32/2.52 (define @t11 () (tptp.least_upper_bound @t1 @t6)) % 2.32/2.52 (define @t12 () (tptp.greatest_lower_bound @t6 @t5)) % 2.32/2.52 (define @t13 () (tptp.least_upper_bound @t6 @t5)) % 2.32/2.52 (define @t14 () (tptp.greatest_lower_bound @t1 @t11)) % 2.32/2.52 (define @t15 () (forall @t10 (= @t14 @t1))) % 2.32/2.52 (define @t16 () (tptp.multiply @t1 @t5)) % 2.32/2.52 (define @t17 () (tptp.multiply @t5 @t1)) % 2.32/2.52 (define @t18 () (tptp.multiply @t6 @t1)) % 2.32/2.52 (define @t19 () (@list @t6 @t5 @t1)) % 2.32/2.52 (define @t20 () (tptp.multiply tptp.a tptp.b)) % 2.32/2.52 (define @t21 () (tptp.least_upper_bound @t20 tptp.identity)) % 2.32/2.52 (define @t22 () (tptp.least_upper_bound tptp.b tptp.identity)) % 2.32/2.52 (define @t23 () (tptp.multiply tptp.identity @t22)) % 2.32/2.52 (define @t24 () (tptp.multiply tptp.a tptp.identity)) % 2.32/2.52 (define @t25 () (tptp.least_upper_bound tptp.identity @t20)) % 2.32/2.52 (define @t26 () (tptp.least_upper_bound @t24 tptp.b)) % 2.32/2.52 (define @t27 () (tptp.greatest_lower_bound @t25 (tptp.least_upper_bound @t25 @t26))) % 2.32/2.52 (define @t28 () (= @t25 @t27)) % 2.32/2.52 (define @t29 () (forall @t10 (= @t1 @t14))) % 2.32/2.52 (assume @p1 @t4) % 2.32/2.52 (assume @p2 (forall @t3 (= (tptp.multiply (tptp.inverse @t1) @t1) tptp.identity))) % 2.32/2.52 (assume @p3 (forall @t8 (= (tptp.multiply @t7 @t5) (tptp.multiply @t1 (tptp.multiply @t6 @t5))))) % 2.32/2.52 (assume @p4 (forall @t10 (= @t9 (tptp.greatest_lower_bound @t6 @t1)))) % 2.32/2.52 (assume @p5 (forall @t10 (= @t11 (tptp.least_upper_bound @t6 @t1)))) % 2.32/2.52 (assume @p6 (forall @t8 (= (tptp.greatest_lower_bound @t1 @t12) (tptp.greatest_lower_bound @t9 @t5)))) % 2.32/2.52 (assume @p7 (forall @t8 (= (tptp.least_upper_bound @t1 @t13) (tptp.least_upper_bound @t11 @t5)))) % 2.32/2.52 (assume @p8 (forall @t3 (= (tptp.least_upper_bound @t1 @t1) @t1))) % 2.32/2.52 (assume @p9 (forall @t3 (= (tptp.greatest_lower_bound @t1 @t1) @t1))) % 2.32/2.52 (assume @p10 (forall @t10 (= (tptp.least_upper_bound @t1 @t9) @t1))) % 2.32/2.52 (assume @p11 @t15) % 2.32/2.52 (assume @p12 (forall @t8 (= (tptp.multiply @t1 @t13) (tptp.least_upper_bound @t7 @t16)))) % 2.32/2.52 (assume @p13 (forall @t8 (= (tptp.multiply @t1 @t12) (tptp.greatest_lower_bound @t7 @t16)))) % 2.32/2.52 (assume @p14 (forall @t19 (= (tptp.multiply @t13 @t1) (tptp.least_upper_bound @t18 @t17)))) % 2.32/2.52 (assume @p15 (forall @t19 (= (tptp.multiply @t12 @t1) (tptp.greatest_lower_bound @t18 @t17)))) % 2.32/2.52 (assume @p16 (not (= (tptp.greatest_lower_bound @t21 (tptp.multiply (tptp.least_upper_bound tptp.a tptp.identity) @t22)) @t21))) % 2.32/2.52 (step @p17 :rule eq-symm :args (@t14 @t1)) % 2.32/2.52 (step @p18 :rule cong :premises (@p17) :args (@t15)) % 2.32/2.52 (step @p19 :rule eq_resolve :premises (@p11 @p18)) % 2.32/2.52 (step @p20 :rule symm :premises (@p16)) % 2.32/2.52 (step @p21 :rule false_intro :premises (@p20)) % 2.32/2.52 (step @p22 :rule instantiate :premises (@p14) :args ((@list tptp.a tptp.identity @t22))) % 2.32/2.52 (step @p23 :rule symm :premises (@p22)) % 2.32/2.52 (step @p24 :rule instantiate :premises (@p5) :args ((@list (tptp.multiply tptp.a @t22) @t23))) % 2.32/2.52 (step @p25 :rule symm :premises (@p24)) % 2.32/2.52 (step @p26 :rule instantiate :premises (@p12) :args ((@list tptp.a tptp.b tptp.identity))) % 2.32/2.52 (step @p27 :rule symm :premises (@p26)) % 2.32/2.52 (step @p28 :rule refl :args (@t23)) % 2.32/2.52 (step @p29 :rule cong :premises (@p28 @p27) :args ((tptp.least_upper_bound @t23 (tptp.least_upper_bound @t20 @t24)))) % 2.32/2.52 (step @p30 :rule instantiate :premises (@p7) :args ((@list @t23 @t20 @t24))) % 2.32/2.52 (step @p31 :rule symm :premises (@p30)) % 2.32/2.52 (step @p32 :rule instantiate :premises (@p5) :args ((@list (tptp.least_upper_bound @t23 @t20) @t24))) % 2.32/2.52 (step @p33 :rule symm :premises (@p32)) % 2.32/2.52 (step @p34 :rule refl :args (@t20)) % 2.32/2.52 (step @p35 :rule eq-symm :args (@t2 @t1)) % 2.32/2.52 (step @p36 :rule cong :premises (@p35) :args (@t4)) % 2.32/2.52 (step @p37 :rule eq_resolve :premises (@p1 @p36)) % 2.32/2.52 (step @p38 :rule instantiate :premises (@p37) :args ((@list @t22))) % 2.32/2.52 (step @p39 :rule cong :premises (@p38 @p34) :args ((tptp.least_upper_bound @t22 @t20))) % 2.32/2.52 (step @p40 :rule instantiate :premises (@p7) :args ((@list tptp.b tptp.identity @t20))) % 2.32/2.52 (step @p41 :rule trans :premises (@p40 @p39)) % 2.32/2.52 (step @p42 :rule refl :args (@t24)) % 2.32/2.52 (step @p43 :rule cong :premises (@p42 @p41) :args ((tptp.least_upper_bound @t24 (tptp.least_upper_bound tptp.b @t25)))) % 2.32/2.52 (step @p44 :rule instantiate :premises (@p7) :args ((@list @t24 tptp.b @t25))) % 2.32/2.52 (step @p45 :rule symm :premises (@p44)) % 2.32/2.52 (step @p46 :rule instantiate :premises (@p5) :args ((@list @t26 @t25))) % 2.32/2.52 (step @p47 :rule symm :premises (@p46)) % 2.32/2.52 (step @p48 :rule trans :premises (@p47 @p45 @p43 @p33 @p31 @p29 @p25 @p23)) % 2.32/2.52 (step @p49 :rule instantiate :premises (@p5) :args ((@list @t20 tptp.identity))) % 2.32/2.52 (step @p50 :rule symm :premises (@p49)) % 2.32/2.52 (step @p51 :rule cong :premises (@p50 @p48) :args (@t27)) % 2.32/2.52 (step @p52 :rule cong :premises (@p50 @p51) :args (@t28)) % 2.32/2.52 (step @p53 :rule trans :premises (@p52 @p21)) % 2.32/2.52 (step @p54 :rule false_elim :premises (@p53)) % 2.32/2.52 (assume-push @p61 @t29) % 2.32/2.52 (step @p56 :rule instantiate :premises (@p19) :args ((@list @t25 @t26))) % 2.32/2.52 (step-pop @p62 :rule scope :premises (@p56)) % 2.32/2.52 (step @p57 :rule process_scope :premises (@p62) :args (@t28)) % 2.32/2.52 (step @p59 :rule implies_elim :premises (@p57)) % 2.32/2.52 (step @p60 false :rule chain_m_resolution :premises (@p59 @p54 @p19) :args (false (@list true false) (@list @t28 @t29))) % 2.32/2.52 ) % 2.32/2.53 % SZS output end Proof % 2.32/2.53 % cvc5 exiting %------------------------------------------------------------------------------