%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GRP175-1 : 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 : n002.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 08:20:06 AM UTC 2026 % Result : Unsatisfiable 0.36s 0.56s % Output : Proof 0.36s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GRP175-1 : TPTP v9.2.1. Bugfixed v1.2.1. % 0.11/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.18/0.34 % Computer : n002.cluster.edu % 0.18/0.34 % Model : x86_64 x86_64 % 0.18/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.34 % Memory : 8042.1875MB % 0.18/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.34 % CPULimit : 300 % 0.18/0.34 % WCLimit : 300 % 0.18/0.34 % DateTime : Tue Jun 2 00:54:48 EDT 2026 % 0.18/0.34 % 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... % 0.36/0.56 % SZS status Unsatisfiable % 0.36/0.56 % SZS output start Proof % 0.36/0.57 ( % 0.36/0.57 (declare-sort $$unsorted 0) % 0.36/0.57 (declare-const tptp.a $$unsorted) % 0.36/0.57 (declare-const tptp.b $$unsorted) % 0.36/0.57 (declare-const tptp.least_upper_bound (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.57 (declare-const tptp.greatest_lower_bound (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.57 (declare-const tptp.inverse (-> $$unsorted $$unsorted)) % 0.36/0.57 (declare-const tptp.multiply (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.57 (declare-const tptp.identity $$unsorted) % 0.36/0.57 (define @t1 () (@var "X" $$unsorted)) % 0.36/0.57 (define @t2 () (tptp.multiply tptp.identity @t1)) % 0.36/0.57 (define @t3 () (@list @t1)) % 0.36/0.57 (define @t4 () (forall @t3 (= @t2 @t1))) % 0.36/0.57 (define @t5 () (tptp.multiply (tptp.inverse @t1) @t1)) % 0.36/0.57 (define @t6 () (forall @t3 (= @t5 tptp.identity))) % 0.36/0.57 (define @t7 () (@var "Z" $$unsorted)) % 0.36/0.57 (define @t8 () (@var "Y" $$unsorted)) % 0.36/0.57 (define @t9 () (tptp.multiply @t1 @t8)) % 0.36/0.57 (define @t10 () (@list @t1 @t8 @t7)) % 0.36/0.57 (define @t11 () (tptp.greatest_lower_bound @t1 @t8)) % 0.36/0.57 (define @t12 () (@list @t1 @t8)) % 0.36/0.57 (define @t13 () (tptp.least_upper_bound @t1 @t8)) % 0.36/0.57 (define @t14 () (tptp.greatest_lower_bound @t8 @t7)) % 0.36/0.57 (define @t15 () (tptp.least_upper_bound @t8 @t7)) % 0.36/0.57 (define @t16 () (tptp.multiply @t1 @t7)) % 0.36/0.57 (define @t17 () (tptp.multiply @t7 @t1)) % 0.36/0.57 (define @t18 () (tptp.multiply @t8 @t1)) % 0.36/0.57 (define @t19 () (@list @t8 @t7 @t1)) % 0.36/0.57 (define @t20 () (tptp.least_upper_bound tptp.identity tptp.b)) % 0.36/0.57 (define @t21 () (tptp.multiply tptp.b tptp.a)) % 0.36/0.57 (define @t22 () (tptp.inverse tptp.a)) % 0.36/0.57 (define @t23 () (tptp.multiply @t22 @t21)) % 0.36/0.57 (define @t24 () (tptp.least_upper_bound tptp.identity @t23)) % 0.36/0.57 (define @t25 () (@list tptp.a)) % 0.36/0.57 (define @t26 () (tptp.multiply @t22 tptp.a)) % 0.36/0.57 (define @t27 () (tptp.least_upper_bound @t26 @t23)) % 0.36/0.57 (define @t28 () (tptp.least_upper_bound tptp.a @t21)) % 0.36/0.57 (define @t29 () (tptp.multiply @t22 @t28)) % 0.36/0.57 (define @t30 () (= @t29 @t27)) % 0.36/0.57 (define @t31 () (not @t30)) % 0.36/0.57 (define @t32 () (tptp.multiply tptp.identity tptp.a)) % 0.36/0.57 (define @t33 () (= tptp.a @t32)) % 0.36/0.57 (define @t34 () (not @t33)) % 0.36/0.57 (define @t35 () (tptp.multiply @t20 tptp.a)) % 0.36/0.57 (define @t36 () (= @t35 (tptp.least_upper_bound @t32 @t21))) % 0.36/0.57 (define @t37 () (not @t36)) % 0.36/0.57 (define @t38 () (= tptp.identity @t26)) % 0.36/0.57 (define @t39 () (not @t38)) % 0.36/0.57 (define @t40 () (= @t23 @t24)) % 0.36/0.57 (define @t41 () (= tptp.b @t20)) % 0.36/0.57 (define @t42 () (not @t41)) % 0.36/0.57 (define @t43 () (not @t40)) % 0.36/0.57 (define @t44 () (and @t41 @t43 @t38 @t36 @t33)) % 0.36/0.57 (assume @p1 @t4) % 0.36/0.57 (assume @p2 @t6) % 0.36/0.57 (assume @p3 (forall @t10 (= (tptp.multiply @t9 @t7) (tptp.multiply @t1 (tptp.multiply @t8 @t7))))) % 0.36/0.57 (assume @p4 (forall @t12 (= @t11 (tptp.greatest_lower_bound @t8 @t1)))) % 0.36/0.57 (assume @p5 (forall @t12 (= @t13 (tptp.least_upper_bound @t8 @t1)))) % 0.36/0.57 (assume @p6 (forall @t10 (= (tptp.greatest_lower_bound @t1 @t14) (tptp.greatest_lower_bound @t11 @t7)))) % 0.36/0.57 (assume @p7 (forall @t10 (= (tptp.least_upper_bound @t1 @t15) (tptp.least_upper_bound @t13 @t7)))) % 0.36/0.57 (assume @p8 (forall @t3 (= (tptp.least_upper_bound @t1 @t1) @t1))) % 0.36/0.57 (assume @p9 (forall @t3 (= (tptp.greatest_lower_bound @t1 @t1) @t1))) % 0.36/0.57 (assume @p10 (forall @t12 (= (tptp.least_upper_bound @t1 @t11) @t1))) % 0.36/0.57 (assume @p11 (forall @t12 (= (tptp.greatest_lower_bound @t1 @t13) @t1))) % 0.36/0.57 (assume @p12 (forall @t10 (= (tptp.multiply @t1 @t15) (tptp.least_upper_bound @t9 @t16)))) % 0.36/0.57 (assume @p13 (forall @t10 (= (tptp.multiply @t1 @t14) (tptp.greatest_lower_bound @t9 @t16)))) % 0.36/0.57 (assume @p14 (forall @t19 (= (tptp.multiply @t15 @t1) (tptp.least_upper_bound @t18 @t17)))) % 0.36/0.57 (assume @p15 (forall @t19 (= (tptp.multiply @t14 @t1) (tptp.greatest_lower_bound @t18 @t17)))) % 0.36/0.57 (assume @p16 (= @t20 tptp.b)) % 0.36/0.57 (assume @p17 (not (= @t24 @t23))) % 0.36/0.57 (step @p18 :rule symm :premises (@p16)) % 0.36/0.57 (step @p19 :rule symm :premises (@p17)) % 0.36/0.57 (step @p20 :rule eq-symm :args (@t5 tptp.identity)) % 0.36/0.57 (step @p21 :rule cong :premises (@p20) :args (@t6)) % 0.36/0.57 (step @p22 :rule eq_resolve :premises (@p2 @p21)) % 0.36/0.57 (step @p23 :rule instantiate :premises (@p22) :args (@t25)) % 0.36/0.57 (step @p24 :rule instantiate :premises (@p14) :args ((@list tptp.identity tptp.b tptp.a))) % 0.36/0.57 (step @p25 :rule eq-symm :args (@t2 @t1)) % 0.36/0.57 (step @p26 :rule cong :premises (@p25) :args (@t4)) % 0.36/0.57 (step @p27 :rule eq_resolve :premises (@p1 @p26)) % 0.36/0.57 (step @p28 :rule instantiate :premises (@p27) :args (@t25)) % 0.36/0.57 (step @p29 :rule instantiate :premises (@p12) :args ((@list @t22 tptp.a @t21))) % 0.36/0.57 (step @p30 :rule refl :args (@t31)) % 0.36/0.57 (step @p31 :rule refl :args (@t34)) % 0.36/0.57 (step @p32 :rule refl :args (@t37)) % 0.36/0.57 (step @p33 :rule refl :args (@t39)) % 0.36/0.57 (step @p34 :rule bool-double-not-elim :args (@t40)) % 0.36/0.57 (step @p35 :rule refl :args (@t42)) % 0.36/0.57 (step @p36 :rule nary_cong :premises (@p35 @p34 @p33 @p32 @p31 @p30) :args ((or @t42 (not @t43) @t39 @t37 @t34 @t31))) % 0.36/0.57 (assume-push @p69 @t41) % 0.36/0.57 (assume-push @p70 @t43) % 0.36/0.57 (assume-push @p71 @t38) % 0.36/0.57 (assume-push @p72 @t36) % 0.36/0.57 (assume-push @p73 @t33) % 0.36/0.57 (step @p42 :rule false_intro :premises (@p19)) % 0.36/0.57 (step @p43 :rule refl :args (@t23)) % 0.36/0.57 (step @p44 :rule symm :premises (@p23)) % 0.36/0.57 (step @p45 :rule cong :premises (@p44 @p43) :args (@t27)) % 0.36/0.57 (step @p46 :rule refl :args (tptp.a)) % 0.36/0.57 (step @p47 :rule cong :premises (@p16 @p46) :args (@t35)) % 0.36/0.57 (step @p48 :rule symm :premises (@p24)) % 0.36/0.57 (step @p49 :rule refl :args (@t21)) % 0.36/0.57 (step @p50 :rule cong :premises (@p28 @p49) :args (@t28)) % 0.36/0.57 (step @p51 :rule trans :premises (@p50 @p48 @p47)) % 0.36/0.57 (step @p52 :rule refl :args (@t22)) % 0.36/0.57 (step @p53 :rule cong :premises (@p52 @p51) :args (@t29)) % 0.36/0.57 (step @p54 :rule cong :premises (@p53 @p45) :args (@t30)) % 0.36/0.57 (step @p55 :rule trans :premises (@p54 @p42)) % 0.36/0.57 (step @p56 :rule false_elim :premises (@p55)) % 0.36/0.57 (step-pop @p74 :rule scope :premises (@p56)) % 0.36/0.57 (step-pop @p75 :rule scope :premises (@p74)) % 0.36/0.57 (step-pop @p76 :rule scope :premises (@p75)) % 0.36/0.57 (step-pop @p77 :rule scope :premises (@p76)) % 0.36/0.57 (step-pop @p78 :rule scope :premises (@p77)) % 0.36/0.57 (step @p57 :rule process_scope :premises (@p78) :args (@t31)) % 0.36/0.57 (step @p63 :rule implies_elim :premises (@p57)) % 0.36/0.57 (step @p64 :rule cnf_and_neg :args (@t44)) % 0.36/0.57 (step @p65 :rule resolution :premises (@p64 @p63) :args (true @t44)) % 0.36/0.57 (step @p66 :rule eq_resolve :premises (@p65 @p36)) % 0.36/0.57 (step @p67 :rule reordering :premises (@p66) :args ((or @t40 @t42 @t39 @t37 @t34 @t31))) % 0.36/0.57 (step @p68 false :rule chain_m_resolution :premises (@p67 @p29 @p28 @p24 @p23 @p19 @p18) :args (false (@list false false false false true false) (@list @t30 @t33 @t36 @t38 @t40 @t41))) % 0.36/0.57 ) % 0.36/0.57 % SZS output end Proof % 0.36/0.57 % cvc5 exiting %------------------------------------------------------------------------------