%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GRP170-2 : 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 : 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 08:20:05 AM UTC 2026 % Result : Unsatisfiable 0.35s 0.56s % Output : Proof 0.35s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GRP170-2 : 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 % 0.16/0.33 % Computer : n023.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 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 00:55:13 EDT 2026 % 0.16/0.34 % CPUTime : % 0.26/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.26/0.51 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.35/0.56 % SZS status Unsatisfiable % 0.35/0.56 % SZS output start Proof % 0.35/0.56 ( % 0.35/0.56 (declare-sort $$unsorted 0) % 0.35/0.56 (declare-const tptp.c $$unsorted) % 0.35/0.56 (declare-const tptp.b $$unsorted) % 0.35/0.56 (declare-const tptp.a $$unsorted) % 0.35/0.56 (declare-const tptp.d $$unsorted) % 0.35/0.56 (declare-const tptp.least_upper_bound (-> $$unsorted $$unsorted $$unsorted)) % 0.35/0.56 (declare-const tptp.greatest_lower_bound (-> $$unsorted $$unsorted $$unsorted)) % 0.35/0.56 (declare-const tptp.inverse (-> $$unsorted $$unsorted)) % 0.35/0.56 (declare-const tptp.multiply (-> $$unsorted $$unsorted $$unsorted)) % 0.35/0.56 (declare-const tptp.identity $$unsorted) % 0.35/0.56 (define @t1 () (@var "X" $$unsorted)) % 0.35/0.56 (define @t2 () (@list @t1)) % 0.35/0.56 (define @t3 () (@var "Z" $$unsorted)) % 0.35/0.56 (define @t4 () (@var "Y" $$unsorted)) % 0.35/0.56 (define @t5 () (tptp.multiply @t1 @t4)) % 0.35/0.56 (define @t6 () (@list @t1 @t4 @t3)) % 0.35/0.56 (define @t7 () (tptp.greatest_lower_bound @t1 @t4)) % 0.35/0.56 (define @t8 () (@list @t1 @t4)) % 0.35/0.56 (define @t9 () (tptp.least_upper_bound @t1 @t4)) % 0.35/0.56 (define @t10 () (tptp.greatest_lower_bound @t4 @t3)) % 0.35/0.56 (define @t11 () (tptp.least_upper_bound @t4 @t3)) % 0.35/0.56 (define @t12 () (tptp.greatest_lower_bound @t1 @t1)) % 0.35/0.56 (define @t13 () (forall @t2 (= @t12 @t1))) % 0.35/0.56 (define @t14 () (tptp.multiply @t1 @t3)) % 0.35/0.56 (define @t15 () (tptp.multiply @t3 @t1)) % 0.35/0.56 (define @t16 () (tptp.multiply @t4 @t1)) % 0.35/0.56 (define @t17 () (@list @t4 @t3 @t1)) % 0.35/0.56 (define @t18 () (tptp.greatest_lower_bound tptp.a tptp.b)) % 0.35/0.56 (define @t19 () (tptp.greatest_lower_bound tptp.c tptp.d)) % 0.35/0.56 (define @t20 () (tptp.multiply tptp.a tptp.c)) % 0.35/0.56 (define @t21 () (tptp.multiply tptp.b tptp.d)) % 0.35/0.56 (define @t22 () (tptp.greatest_lower_bound @t20 @t21)) % 0.35/0.56 (define @t23 () (tptp.multiply tptp.b tptp.c)) % 0.35/0.56 (define @t24 () (tptp.greatest_lower_bound tptp.d tptp.d)) % 0.35/0.56 (define @t25 () (= tptp.a @t18)) % 0.35/0.56 (define @t26 () (= tptp.c @t19)) % 0.35/0.56 (define @t27 () (tptp.greatest_lower_bound tptp.c @t24)) % 0.35/0.56 (define @t28 () (= @t27 (tptp.greatest_lower_bound @t19 tptp.d))) % 0.35/0.56 (define @t29 () (tptp.greatest_lower_bound @t20 @t23)) % 0.35/0.56 (define @t30 () (tptp.multiply @t18 tptp.c)) % 0.35/0.56 (define @t31 () (= @t30 @t29)) % 0.35/0.56 (define @t32 () (tptp.greatest_lower_bound @t29 @t21)) % 0.35/0.56 (define @t33 () (= (tptp.greatest_lower_bound @t20 (tptp.greatest_lower_bound @t23 @t21)) @t32)) % 0.35/0.56 (define @t34 () (= tptp.d @t24)) % 0.35/0.56 (define @t35 () (tptp.multiply tptp.b @t24)) % 0.35/0.56 (define @t36 () (tptp.greatest_lower_bound @t23 @t35)) % 0.35/0.56 (define @t37 () (= (tptp.multiply tptp.b @t27) @t36)) % 0.35/0.56 (define @t38 () (= @t20 @t22)) % 0.35/0.56 (define @t39 () (and @t25 @t26 @t28 @t31 @t33 @t34 @t37)) % 0.35/0.56 (assume @p1 (forall @t2 (= (tptp.multiply tptp.identity @t1) @t1))) % 0.35/0.56 (assume @p2 (forall @t2 (= (tptp.multiply (tptp.inverse @t1) @t1) tptp.identity))) % 0.35/0.56 (assume @p3 (forall @t6 (= (tptp.multiply @t5 @t3) (tptp.multiply @t1 (tptp.multiply @t4 @t3))))) % 0.35/0.56 (assume @p4 (forall @t8 (= @t7 (tptp.greatest_lower_bound @t4 @t1)))) % 0.35/0.56 (assume @p5 (forall @t8 (= @t9 (tptp.least_upper_bound @t4 @t1)))) % 0.35/0.56 (assume @p6 (forall @t6 (= (tptp.greatest_lower_bound @t1 @t10) (tptp.greatest_lower_bound @t7 @t3)))) % 0.35/0.56 (assume @p7 (forall @t6 (= (tptp.least_upper_bound @t1 @t11) (tptp.least_upper_bound @t9 @t3)))) % 0.35/0.56 (assume @p8 (forall @t2 (= (tptp.least_upper_bound @t1 @t1) @t1))) % 0.35/0.56 (assume @p9 @t13) % 0.35/0.56 (assume @p10 (forall @t8 (= (tptp.least_upper_bound @t1 @t7) @t1))) % 0.35/0.56 (assume @p11 (forall @t8 (= (tptp.greatest_lower_bound @t1 @t9) @t1))) % 0.35/0.56 (assume @p12 (forall @t6 (= (tptp.multiply @t1 @t11) (tptp.least_upper_bound @t5 @t14)))) % 0.35/0.56 (assume @p13 (forall @t6 (= (tptp.multiply @t1 @t10) (tptp.greatest_lower_bound @t5 @t14)))) % 0.35/0.56 (assume @p14 (forall @t17 (= (tptp.multiply @t11 @t1) (tptp.least_upper_bound @t16 @t15)))) % 0.35/0.56 (assume @p15 (forall @t17 (= (tptp.multiply @t10 @t1) (tptp.greatest_lower_bound @t16 @t15)))) % 0.35/0.56 (assume @p16 (= @t18 tptp.a)) % 0.35/0.56 (assume @p17 (= @t19 tptp.c)) % 0.35/0.56 (assume @p18 (not (= @t22 @t20))) % 0.35/0.56 (step @p19 :rule symm :premises (@p16)) % 0.35/0.56 (step @p20 :rule symm :premises (@p17)) % 0.35/0.56 (step @p21 :rule symm :premises (@p18)) % 0.35/0.56 (step @p22 :rule instantiate :premises (@p6) :args ((@list tptp.c tptp.d tptp.d))) % 0.35/0.56 (step @p23 :rule instantiate :premises (@p15) :args ((@list tptp.a tptp.b tptp.c))) % 0.35/0.56 (step @p24 :rule instantiate :premises (@p6) :args ((@list @t20 @t23 @t21))) % 0.35/0.56 (step @p25 :rule eq-symm :args (@t12 @t1)) % 0.35/0.56 (step @p26 :rule cong :premises (@p25) :args (@t13)) % 0.35/0.56 (step @p27 :rule eq_resolve :premises (@p9 @p26)) % 0.35/0.56 (step @p28 :rule instantiate :premises (@p27) :args ((@list tptp.d))) % 0.35/0.56 (step @p29 :rule instantiate :premises (@p13) :args ((@list tptp.b tptp.c @t24))) % 0.35/0.56 (assume-push @p72 @t25) % 0.35/0.56 (assume-push @p73 @t26) % 0.35/0.56 (assume-push @p74 @t28) % 0.35/0.56 (assume-push @p75 @t31) % 0.35/0.56 (assume-push @p76 @t33) % 0.35/0.56 (assume-push @p77 @t34) % 0.35/0.56 (assume-push @p78 @t37) % 0.35/0.56 (step @p37 :rule refl :args (@t21)) % 0.35/0.56 (step @p38 :rule refl :args (tptp.c)) % 0.35/0.56 (step @p39 :rule cong :premises (@p16 @p38) :args (@t30)) % 0.35/0.56 (step @p40 :rule symm :premises (@p23)) % 0.35/0.56 (step @p41 :rule trans :premises (@p40 @p39)) % 0.35/0.56 (step @p42 :rule cong :premises (@p41 @p37) :args (@t32)) % 0.35/0.56 (step @p43 :rule symm :premises (@p28)) % 0.35/0.56 (step @p44 :rule refl :args (tptp.b)) % 0.35/0.56 (step @p45 :rule cong :premises (@p44 @p43) :args (@t35)) % 0.35/0.56 (step @p46 :rule refl :args (@t23)) % 0.35/0.56 (step @p47 :rule cong :premises (@p46 @p45) :args (@t36)) % 0.35/0.56 (step @p48 :rule symm :premises (@p22)) % 0.35/0.56 (step @p49 :rule refl :args (tptp.d)) % 0.35/0.56 (step @p50 :rule cong :premises (@p20 @p49) :args (@t19)) % 0.35/0.56 (step @p51 :rule trans :premises (@p20 @p50 @p48)) % 0.35/0.56 (step @p52 :rule cong :premises (@p44 @p51) :args (@t23)) % 0.35/0.56 (step @p53 :rule trans :premises (@p52 @p29 @p47)) % 0.35/0.56 (step @p54 :rule cong :premises (@p41 @p53) :args ((tptp.greatest_lower_bound @t29 @t23))) % 0.35/0.56 (step @p55 :rule symm :premises (@p41)) % 0.35/0.56 (step @p56 :rule cong :premises (@p55 @p46) :args (@t29)) % 0.35/0.56 (step @p57 :rule symm :premises (@p39)) % 0.35/0.56 (step @p58 :rule trans :premises (@p57 @p23 @p56 @p54 @p24 @p42)) % 0.35/0.56 (step-pop @p79 :rule scope :premises (@p58)) % 0.35/0.56 (step-pop @p80 :rule scope :premises (@p79)) % 0.35/0.56 (step-pop @p81 :rule scope :premises (@p80)) % 0.35/0.56 (step-pop @p82 :rule scope :premises (@p81)) % 0.35/0.56 (step-pop @p83 :rule scope :premises (@p82)) % 0.35/0.56 (step-pop @p84 :rule scope :premises (@p83)) % 0.35/0.56 (step-pop @p85 :rule scope :premises (@p84)) % 0.35/0.56 (step @p59 :rule process_scope :premises (@p85) :args (@t38)) % 0.35/0.56 (step @p67 :rule implies_elim :premises (@p59)) % 0.35/0.56 (step @p68 :rule cnf_and_neg :args (@t39)) % 0.35/0.56 (step @p69 :rule resolution :premises (@p68 @p67) :args (true @t39)) % 0.35/0.56 (step @p70 :rule reordering :premises (@p69) :args ((or @t38 (not @t25) (not @t26) (not @t28) (not @t31) (not @t33) (not @t34) (not @t37)))) % 0.35/0.56 (step @p71 false :rule chain_m_resolution :premises (@p70 @p29 @p28 @p24 @p23 @p22 @p21 @p20 @p19) :args (false (@list false false false false false true false false) (@list @t37 @t34 @t33 @t31 @t28 @t38 @t26 @t25))) % 0.35/0.56 ) % 0.35/0.57 % SZS output end Proof % 0.35/0.57 % cvc5 exiting %------------------------------------------------------------------------------