%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GRP165-2 : 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 : n026.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 08:20:03 AM UTC 2026 % Result : Unsatisfiable 0.52s 0.74s % Output : Proof 0.52s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GRP165-2 : 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 % 0.16/0.34 % Computer : n026.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 00:54:40 EDT 2026 % 0.16/0.35 % CPUTime : % 0.32/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.32/0.51 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.52/0.74 % SZS status Unsatisfiable % 0.52/0.74 % SZS output start Proof % 0.52/0.74 ( % 0.52/0.74 (declare-sort $$unsorted 0) % 0.52/0.74 (declare-const tptp.a $$unsorted) % 0.52/0.74 (declare-const tptp.least_upper_bound (-> $$unsorted $$unsorted $$unsorted)) % 0.52/0.74 (declare-const tptp.greatest_lower_bound (-> $$unsorted $$unsorted $$unsorted)) % 0.52/0.74 (declare-const tptp.inverse (-> $$unsorted $$unsorted)) % 0.52/0.74 (declare-const tptp.multiply (-> $$unsorted $$unsorted $$unsorted)) % 0.52/0.74 (declare-const tptp.identity $$unsorted) % 0.52/0.74 (define @t1 () (@var "X" $$unsorted)) % 0.52/0.74 (define @t2 () (tptp.multiply tptp.identity @t1)) % 0.52/0.74 (define @t3 () (@list @t1)) % 0.52/0.74 (define @t4 () (forall @t3 (= @t2 @t1))) % 0.52/0.74 (define @t5 () (@var "Z" $$unsorted)) % 0.52/0.74 (define @t6 () (@var "Y" $$unsorted)) % 0.52/0.74 (define @t7 () (tptp.multiply @t1 @t6)) % 0.52/0.74 (define @t8 () (@list @t1 @t6 @t5)) % 0.52/0.74 (define @t9 () (tptp.greatest_lower_bound @t1 @t6)) % 0.52/0.74 (define @t10 () (@list @t1 @t6)) % 0.52/0.74 (define @t11 () (tptp.least_upper_bound @t1 @t6)) % 0.52/0.74 (define @t12 () (tptp.greatest_lower_bound @t6 @t5)) % 0.52/0.74 (define @t13 () (tptp.least_upper_bound @t6 @t5)) % 0.52/0.74 (define @t14 () (tptp.least_upper_bound @t1 @t9)) % 0.52/0.74 (define @t15 () (forall @t10 (= @t14 @t1))) % 0.52/0.74 (define @t16 () (tptp.greatest_lower_bound @t1 @t11)) % 0.52/0.74 (define @t17 () (forall @t10 (= @t16 @t1))) % 0.52/0.74 (define @t18 () (tptp.multiply @t1 @t5)) % 0.52/0.74 (define @t19 () (tptp.multiply @t5 @t1)) % 0.52/0.74 (define @t20 () (tptp.multiply @t6 @t1)) % 0.52/0.74 (define @t21 () (@list @t6 @t5 @t1)) % 0.52/0.74 (define @t22 () (tptp.greatest_lower_bound tptp.a tptp.identity)) % 0.52/0.74 (define @t23 () (tptp.multiply tptp.a tptp.a)) % 0.52/0.74 (define @t24 () (tptp.greatest_lower_bound tptp.a @t23)) % 0.52/0.74 (define @t25 () (tptp.multiply @t22 tptp.a)) % 0.52/0.74 (define @t26 () (tptp.least_upper_bound @t25 @t23)) % 0.52/0.74 (define @t27 () (tptp.greatest_lower_bound @t25 @t26)) % 0.52/0.74 (define @t28 () (= @t25 @t27)) % 0.52/0.74 (define @t29 () (not @t28)) % 0.52/0.74 (define @t30 () (= tptp.a (tptp.multiply tptp.identity tptp.a))) % 0.52/0.74 (define @t31 () (not @t30)) % 0.52/0.74 (define @t32 () (tptp.least_upper_bound @t22 tptp.a)) % 0.52/0.74 (define @t33 () (tptp.multiply @t32 tptp.a)) % 0.52/0.74 (define @t34 () (= @t33 @t26)) % 0.52/0.74 (define @t35 () (not @t34)) % 0.52/0.74 (define @t36 () (tptp.least_upper_bound tptp.a @t22)) % 0.52/0.74 (define @t37 () (= @t36 @t32)) % 0.52/0.74 (define @t38 () (not @t37)) % 0.52/0.74 (define @t39 () (= tptp.a @t36)) % 0.52/0.74 (define @t40 () (not @t39)) % 0.52/0.74 (define @t41 () (= tptp.a @t24)) % 0.52/0.74 (define @t42 () (= tptp.identity @t22)) % 0.52/0.74 (define @t43 () (not @t42)) % 0.52/0.74 (define @t44 () (not @t41)) % 0.52/0.74 (define @t45 () (and @t42 @t44 @t39 @t37 @t34 @t30)) % 0.52/0.74 (assume @p1 @t4) % 0.52/0.74 (assume @p2 (forall @t3 (= (tptp.multiply (tptp.inverse @t1) @t1) tptp.identity))) % 0.52/0.74 (assume @p3 (forall @t8 (= (tptp.multiply @t7 @t5) (tptp.multiply @t1 (tptp.multiply @t6 @t5))))) % 0.52/0.74 (assume @p4 (forall @t10 (= @t9 (tptp.greatest_lower_bound @t6 @t1)))) % 0.52/0.74 (assume @p5 (forall @t10 (= @t11 (tptp.least_upper_bound @t6 @t1)))) % 0.52/0.74 (assume @p6 (forall @t8 (= (tptp.greatest_lower_bound @t1 @t12) (tptp.greatest_lower_bound @t9 @t5)))) % 0.52/0.74 (assume @p7 (forall @t8 (= (tptp.least_upper_bound @t1 @t13) (tptp.least_upper_bound @t11 @t5)))) % 0.52/0.74 (assume @p8 (forall @t3 (= (tptp.least_upper_bound @t1 @t1) @t1))) % 0.52/0.74 (assume @p9 (forall @t3 (= (tptp.greatest_lower_bound @t1 @t1) @t1))) % 0.52/0.74 (assume @p10 @t15) % 0.52/0.74 (assume @p11 @t17) % 0.52/0.74 (assume @p12 (forall @t8 (= (tptp.multiply @t1 @t13) (tptp.least_upper_bound @t7 @t18)))) % 0.52/0.74 (assume @p13 (forall @t8 (= (tptp.multiply @t1 @t12) (tptp.greatest_lower_bound @t7 @t18)))) % 0.52/0.74 (assume @p14 (forall @t21 (= (tptp.multiply @t13 @t1) (tptp.least_upper_bound @t20 @t19)))) % 0.52/0.74 (assume @p15 (forall @t21 (= (tptp.multiply @t12 @t1) (tptp.greatest_lower_bound @t20 @t19)))) % 0.52/0.74 (assume @p16 (= @t22 tptp.identity)) % 0.52/0.74 (assume @p17 (not (= @t24 tptp.a))) % 0.52/0.74 (step @p18 :rule symm :premises (@p16)) % 0.52/0.74 (step @p19 :rule symm :premises (@p17)) % 0.52/0.74 (step @p20 :rule eq-symm :args (@t14 @t1)) % 0.52/0.74 (step @p21 :rule cong :premises (@p20) :args (@t15)) % 0.52/0.74 (step @p22 :rule eq_resolve :premises (@p10 @p21)) % 0.52/0.74 (step @p23 :rule instantiate :premises (@p22) :args ((@list tptp.a tptp.identity))) % 0.52/0.74 (step @p24 :rule instantiate :premises (@p5) :args ((@list tptp.a @t22))) % 0.52/0.74 (step @p25 :rule instantiate :premises (@p14) :args ((@list @t22 tptp.a tptp.a))) % 0.52/0.74 (step @p26 :rule eq-symm :args (@t2 @t1)) % 0.52/0.74 (step @p27 :rule cong :premises (@p26) :args (@t4)) % 0.52/0.74 (step @p28 :rule eq_resolve :premises (@p1 @p27)) % 0.52/0.74 (step @p29 :rule instantiate :premises (@p28) :args ((@list tptp.a))) % 0.52/0.74 (step @p30 :rule eq-symm :args (@t16 @t1)) % 0.52/0.74 (step @p31 :rule cong :premises (@p30) :args (@t17)) % 0.52/0.74 (step @p32 :rule eq_resolve :premises (@p11 @p31)) % 0.52/0.74 (step @p33 :rule instantiate :premises (@p32) :args ((@list @t25 @t23))) % 0.52/0.74 (step @p34 :rule refl :args (@t29)) % 0.52/0.74 (step @p35 :rule refl :args (@t31)) % 0.52/0.74 (step @p36 :rule refl :args (@t35)) % 0.52/0.74 (step @p37 :rule refl :args (@t38)) % 0.52/0.74 (step @p38 :rule refl :args (@t40)) % 0.52/0.74 (step @p39 :rule bool-double-not-elim :args (@t41)) % 0.52/0.74 (step @p40 :rule refl :args (@t43)) % 0.52/0.74 (step @p41 :rule nary_cong :premises (@p40 @p39 @p38 @p37 @p36 @p35 @p34) :args ((or @t43 (not @t44) @t40 @t38 @t35 @t31 @t29))) % 0.52/0.74 (assume-push @p76 @t42) % 0.52/0.74 (assume-push @p77 @t44) % 0.52/0.74 (assume-push @p78 @t39) % 0.52/0.74 (assume-push @p79 @t37) % 0.52/0.74 (assume-push @p80 @t34) % 0.52/0.74 (assume-push @p81 @t30) % 0.52/0.74 (step @p48 :rule false_intro :premises (@p19)) % 0.52/0.74 (step @p49 :rule refl :args (tptp.a)) % 0.52/0.74 (step @p50 :rule symm :premises (@p23)) % 0.52/0.74 (step @p51 :rule symm :premises (@p24)) % 0.52/0.74 (step @p52 :rule trans :premises (@p51 @p50)) % 0.52/0.74 (step @p53 :rule cong :premises (@p52 @p49) :args (@t33)) % 0.52/0.74 (step @p54 :rule symm :premises (@p25)) % 0.52/0.74 (step @p55 :rule trans :premises (@p54 @p53)) % 0.52/0.74 (step @p56 :rule symm :premises (@p29)) % 0.52/0.74 (step @p57 :rule cong :premises (@p16 @p49) :args (@t25)) % 0.52/0.74 (step @p58 :rule trans :premises (@p57 @p56)) % 0.52/0.74 (step @p59 :rule cong :premises (@p58 @p55) :args (@t27)) % 0.52/0.74 (step @p60 :rule cong :premises (@p58 @p59) :args (@t28)) % 0.52/0.74 (step @p61 :rule trans :premises (@p60 @p48)) % 0.52/0.74 (step @p62 :rule false_elim :premises (@p61)) % 0.52/0.74 (step-pop @p82 :rule scope :premises (@p62)) % 0.52/0.74 (step-pop @p83 :rule scope :premises (@p82)) % 0.52/0.74 (step-pop @p84 :rule scope :premises (@p83)) % 0.52/0.74 (step-pop @p85 :rule scope :premises (@p84)) % 0.52/0.74 (step-pop @p86 :rule scope :premises (@p85)) % 0.52/0.74 (step-pop @p87 :rule scope :premises (@p86)) % 0.52/0.74 (step @p63 :rule process_scope :premises (@p87) :args (@t29)) % 0.52/0.74 (step @p70 :rule implies_elim :premises (@p63)) % 0.52/0.74 (step @p71 :rule cnf_and_neg :args (@t45)) % 0.52/0.74 (step @p72 :rule resolution :premises (@p71 @p70) :args (true @t45)) % 0.52/0.74 (step @p73 :rule eq_resolve :premises (@p72 @p41)) % 0.52/0.74 (step @p74 :rule reordering :premises (@p73) :args ((or @t41 @t43 @t40 @t38 @t35 @t31 @t29))) % 0.52/0.74 (step @p75 false :rule chain_m_resolution :premises (@p74 @p33 @p29 @p25 @p24 @p23 @p19 @p18) :args (false (@list false false false false false true false) (@list @t28 @t30 @t34 @t37 @t39 @t41 @t42))) % 0.52/0.74 ) % 0.52/0.75 % SZS output end Proof % 0.52/0.75 % cvc5 exiting %------------------------------------------------------------------------------