%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GRP186-4 : 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 08:20:09 AM UTC 2026 % Result : Unsatisfiable 0.39s 0.56s % Output : Proof 0.39s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GRP186-4 : 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 % 0.17/0.34 % Computer : n006.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 00:56:19 EDT 2026 % 0.17/0.34 % CPUTime : % 0.30/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.30/0.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.39/0.56 % SZS status Unsatisfiable % 0.39/0.56 % SZS output start Proof % 0.39/0.56 ( % 0.39/0.56 (declare-sort $$unsorted 0) % 0.39/0.56 (declare-const tptp.a $$unsorted) % 0.39/0.56 (declare-const tptp.least_upper_bound (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.56 (declare-const tptp.greatest_lower_bound (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.56 (declare-const tptp.b $$unsorted) % 0.39/0.56 (declare-const tptp.inverse (-> $$unsorted $$unsorted)) % 0.39/0.56 (declare-const tptp.multiply (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.56 (declare-const tptp.identity $$unsorted) % 0.39/0.56 (define @t1 () (@var "X" $$unsorted)) % 0.39/0.56 (define @t2 () (@list @t1)) % 0.39/0.56 (define @t3 () (tptp.inverse @t1)) % 0.39/0.56 (define @t4 () (tptp.multiply @t3 @t1)) % 0.39/0.56 (define @t5 () (forall @t2 (= @t4 tptp.identity))) % 0.39/0.56 (define @t6 () (@var "Z" $$unsorted)) % 0.39/0.56 (define @t7 () (@var "Y" $$unsorted)) % 0.39/0.56 (define @t8 () (tptp.multiply @t1 @t7)) % 0.39/0.56 (define @t9 () (@list @t1 @t7 @t6)) % 0.39/0.56 (define @t10 () (tptp.greatest_lower_bound @t1 @t7)) % 0.39/0.56 (define @t11 () (@list @t1 @t7)) % 0.39/0.56 (define @t12 () (tptp.least_upper_bound @t1 @t7)) % 0.39/0.56 (define @t13 () (tptp.greatest_lower_bound @t7 @t6)) % 0.39/0.56 (define @t14 () (tptp.least_upper_bound @t7 @t6)) % 0.39/0.56 (define @t15 () (tptp.greatest_lower_bound @t1 @t12)) % 0.39/0.56 (define @t16 () (forall @t11 (= @t15 @t1))) % 0.39/0.56 (define @t17 () (tptp.multiply @t1 @t6)) % 0.39/0.56 (define @t18 () (tptp.multiply @t6 @t1)) % 0.39/0.56 (define @t19 () (tptp.multiply @t7 @t1)) % 0.39/0.56 (define @t20 () (@list @t7 @t6 @t1)) % 0.39/0.56 (define @t21 () (tptp.inverse @t3)) % 0.39/0.56 (define @t22 () (forall @t2 (= @t21 @t1))) % 0.39/0.56 (define @t23 () (tptp.inverse tptp.a)) % 0.39/0.56 (define @t24 () (tptp.multiply tptp.a (tptp.least_upper_bound @t23 tptp.b))) % 0.39/0.56 (define @t25 () (tptp.multiply tptp.a tptp.b)) % 0.39/0.56 (define @t26 () (tptp.least_upper_bound @t25 tptp.identity)) % 0.39/0.56 (define @t27 () (= @t26 @t24)) % 0.39/0.56 (define @t28 () (tptp.multiply tptp.a @t23)) % 0.39/0.56 (define @t29 () (tptp.greatest_lower_bound @t25 @t26)) % 0.39/0.56 (define @t30 () (= @t25 @t29)) % 0.39/0.56 (define @t31 () (tptp.least_upper_bound @t28 @t25)) % 0.39/0.56 (define @t32 () (= @t24 @t31)) % 0.39/0.56 (define @t33 () (= @t31 (tptp.least_upper_bound @t25 @t28))) % 0.39/0.56 (define @t34 () (tptp.inverse @t23)) % 0.39/0.56 (define @t35 () (tptp.multiply @t34 @t23)) % 0.39/0.56 (define @t36 () (= tptp.identity @t35)) % 0.39/0.56 (define @t37 () (= tptp.a @t34)) % 0.39/0.56 (define @t38 () (and @t30 @t32 @t33 @t36 @t37)) % 0.39/0.56 (assume @p1 (forall @t2 (= (tptp.multiply tptp.identity @t1) @t1))) % 0.39/0.56 (assume @p2 @t5) % 0.39/0.56 (assume @p3 (forall @t9 (= (tptp.multiply @t8 @t6) (tptp.multiply @t1 (tptp.multiply @t7 @t6))))) % 0.39/0.56 (assume @p4 (forall @t11 (= @t10 (tptp.greatest_lower_bound @t7 @t1)))) % 0.39/0.56 (assume @p5 (forall @t11 (= @t12 (tptp.least_upper_bound @t7 @t1)))) % 0.39/0.56 (assume @p6 (forall @t9 (= (tptp.greatest_lower_bound @t1 @t13) (tptp.greatest_lower_bound @t10 @t6)))) % 0.39/0.56 (assume @p7 (forall @t9 (= (tptp.least_upper_bound @t1 @t14) (tptp.least_upper_bound @t12 @t6)))) % 0.39/0.56 (assume @p8 (forall @t2 (= (tptp.least_upper_bound @t1 @t1) @t1))) % 0.39/0.56 (assume @p9 (forall @t2 (= (tptp.greatest_lower_bound @t1 @t1) @t1))) % 0.39/0.56 (assume @p10 (forall @t11 (= (tptp.least_upper_bound @t1 @t10) @t1))) % 0.39/0.56 (assume @p11 @t16) % 0.39/0.56 (assume @p12 (forall @t9 (= (tptp.multiply @t1 @t14) (tptp.least_upper_bound @t8 @t17)))) % 0.39/0.56 (assume @p13 (forall @t9 (= (tptp.multiply @t1 @t13) (tptp.greatest_lower_bound @t8 @t17)))) % 0.39/0.56 (assume @p14 (forall @t20 (= (tptp.multiply @t14 @t1) (tptp.least_upper_bound @t19 @t18)))) % 0.39/0.56 (assume @p15 (forall @t20 (= (tptp.multiply @t13 @t1) (tptp.greatest_lower_bound @t19 @t18)))) % 0.39/0.56 (assume @p16 (= (tptp.inverse tptp.identity) tptp.identity)) % 0.39/0.56 (assume @p17 @t22) % 0.39/0.56 (assume @p18 (forall @t11 (= (tptp.inverse @t8) (tptp.multiply (tptp.inverse @t7) @t3)))) % 0.39/0.56 (assume @p19 (not @t27)) % 0.39/0.56 (step @p20 :rule eq-symm :args (@t15 @t1)) % 0.39/0.56 (step @p21 :rule cong :premises (@p20) :args (@t16)) % 0.39/0.56 (step @p22 :rule eq_resolve :premises (@p11 @p21)) % 0.39/0.56 (step @p23 :rule instantiate :premises (@p22) :args ((@list @t25 tptp.identity))) % 0.39/0.56 (step @p24 :rule instantiate :premises (@p12) :args ((@list tptp.a @t23 tptp.b))) % 0.39/0.56 (step @p25 :rule instantiate :premises (@p5) :args ((@list @t28 @t25))) % 0.39/0.56 (step @p26 :rule eq-symm :args (@t4 tptp.identity)) % 0.39/0.56 (step @p27 :rule cong :premises (@p26) :args (@t5)) % 0.39/0.56 (step @p28 :rule eq_resolve :premises (@p2 @p27)) % 0.39/0.56 (step @p29 :rule instantiate :premises (@p28) :args ((@list @t23))) % 0.39/0.56 (step @p30 :rule eq-symm :args (@t21 @t1)) % 0.39/0.56 (step @p31 :rule cong :premises (@p30) :args (@t22)) % 0.39/0.56 (step @p32 :rule eq_resolve :premises (@p17 @p31)) % 0.39/0.56 (step @p33 :rule instantiate :premises (@p32) :args ((@list tptp.a))) % 0.39/0.56 (assume-push @p61 @t30) % 0.39/0.56 (assume-push @p62 @t32) % 0.39/0.56 (assume-push @p63 @t33) % 0.39/0.56 (assume-push @p64 @t36) % 0.39/0.56 (assume-push @p65 @t37) % 0.39/0.56 (step @p39 :rule symm :premises (@p24)) % 0.39/0.56 (step @p40 :rule symm :premises (@p25)) % 0.39/0.56 (step @p41 :rule refl :args (@t28)) % 0.39/0.56 (step @p42 :rule symm :premises (@p23)) % 0.39/0.56 (step @p43 :rule cong :premises (@p42 @p41) :args ((tptp.least_upper_bound @t29 @t28))) % 0.39/0.56 (step @p44 :rule refl :args (@t23)) % 0.39/0.56 (step @p45 :rule symm :premises (@p33)) % 0.39/0.56 (step @p46 :rule cong :premises (@p45 @p44) :args (@t35)) % 0.39/0.56 (step @p47 :rule trans :premises (@p29 @p46)) % 0.39/0.56 (step @p48 :rule cong :premises (@p23 @p47) :args (@t26)) % 0.39/0.56 (step @p49 :rule trans :premises (@p48 @p43 @p40 @p39)) % 0.39/0.56 (step-pop @p66 :rule scope :premises (@p49)) % 0.39/0.56 (step-pop @p67 :rule scope :premises (@p66)) % 0.39/0.56 (step-pop @p68 :rule scope :premises (@p67)) % 0.39/0.56 (step-pop @p69 :rule scope :premises (@p68)) % 0.39/0.56 (step-pop @p70 :rule scope :premises (@p69)) % 0.39/0.56 (step @p50 :rule process_scope :premises (@p70) :args (@t27)) % 0.39/0.56 (step @p56 :rule implies_elim :premises (@p50)) % 0.39/0.56 (step @p57 :rule cnf_and_neg :args (@t38)) % 0.39/0.56 (step @p58 :rule resolution :premises (@p57 @p56) :args (true @t38)) % 0.39/0.56 (step @p59 :rule reordering :premises (@p58) :args ((or @t27 (not @t30) (not @t32) (not @t33) (not @t36) (not @t37)))) % 0.39/0.56 (step @p60 false :rule chain_m_resolution :premises (@p59 @p33 @p29 @p25 @p24 @p23 @p19) :args (false (@list false false false false false true) (@list @t37 @t36 @t33 @t32 @t30 @t27))) % 0.39/0.56 ) % 0.39/0.56 % SZS output end Proof % 0.39/0.57 % cvc5 exiting %------------------------------------------------------------------------------