%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : LAT035-1 : TPTP v9.2.1. Released v2.4.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n028.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 08:29:39 AM UTC 2026 % Result : Unsatisfiable 0.37s 0.56s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : LAT035-1 : TPTP v9.2.1. Released v2.4.0. % 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 : n028.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 05:44:50 EDT 2026 % 0.16/0.35 % CPUTime : % 0.30/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.30/0.51 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.37/0.56 % SZS status Unsatisfiable % 0.37/0.56 % SZS output start Proof % 0.37/0.56 ( % 0.37/0.56 (declare-sort $$unsorted 0) % 0.37/0.56 (declare-const tptp.aa $$unsorted) % 0.37/0.56 (declare-const tptp.bb $$unsorted) % 0.37/0.56 (declare-const tptp.f (-> $$unsorted $$unsorted)) % 0.37/0.56 (declare-const tptp.k (-> $$unsorted $$unsorted)) % 0.37/0.56 (declare-const tptp.n0 $$unsorted) % 0.37/0.56 (declare-const tptp.n1 $$unsorted) % 0.37/0.56 (declare-const tptp.join (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.56 (declare-const tptp.meet (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.56 (define @t1 () (@var "X" $$unsorted)) % 0.37/0.56 (define @t2 () (@list @t1)) % 0.37/0.56 (define @t3 () (@var "Y" $$unsorted)) % 0.37/0.56 (define @t4 () (tptp.join @t1 @t3)) % 0.37/0.56 (define @t5 () (@list @t1 @t3)) % 0.37/0.56 (define @t6 () (tptp.meet @t1 @t3)) % 0.37/0.56 (define @t7 () (@var "Z" $$unsorted)) % 0.37/0.56 (define @t8 () (tptp.meet @t3 @t7)) % 0.37/0.56 (define @t9 () (@list @t1 @t3 @t7)) % 0.37/0.56 (define @t10 () (@var "V" $$unsorted)) % 0.37/0.56 (define @t11 () (tptp.k @t10)) % 0.37/0.56 (define @t12 () (@var "U" $$unsorted)) % 0.37/0.56 (define @t13 () (tptp.k @t12)) % 0.37/0.56 (define @t14 () (@list @t12 @t10)) % 0.37/0.56 (define @t15 () (tptp.meet @t12 @t10)) % 0.37/0.56 (define @t16 () (tptp.k tptp.n0)) % 0.37/0.56 (define @t17 () (forall @t14 (= (tptp.f @t15) (tptp.join (tptp.f @t12) (tptp.f @t10))))) % 0.37/0.56 (define @t18 () (tptp.f tptp.n1)) % 0.37/0.56 (define @t19 () (tptp.f @t16)) % 0.37/0.56 (define @t20 () (not (= @t19 tptp.n0))) % 0.37/0.56 (define @t21 () (tptp.k tptp.bb)) % 0.37/0.56 (define @t22 () (tptp.k tptp.aa)) % 0.37/0.56 (define @t23 () (tptp.join (tptp.f @t22) (tptp.f @t21))) % 0.37/0.56 (define @t24 () (tptp.k (tptp.join tptp.aa tptp.bb))) % 0.37/0.56 (define @t25 () (tptp.f @t24)) % 0.37/0.56 (define @t26 () (= @t25 @t23)) % 0.37/0.56 (define @t27 () (not @t26)) % 0.37/0.56 (define @t28 () (or @t27 @t20)) % 0.37/0.56 (define @t29 () (@list false)) % 0.37/0.56 (define @t30 () (tptp.meet @t22 @t21)) % 0.37/0.56 (define @t31 () (tptp.f @t30)) % 0.37/0.56 (define @t32 () (= @t31 @t23)) % 0.37/0.56 (define @t33 () (@list @t22 @t21)) % 0.37/0.56 (define @t34 () (= @t23 @t31)) % 0.37/0.56 (define @t35 () (= @t24 @t30)) % 0.37/0.56 (define @t36 () (and @t35 @t34)) % 0.37/0.56 (assume @p1 (forall @t2 (= (tptp.meet @t1 @t1) @t1))) % 0.37/0.56 (assume @p2 (forall @t2 (= (tptp.join @t1 @t1) @t1))) % 0.37/0.56 (assume @p3 (forall @t5 (= (tptp.meet @t1 @t4) @t1))) % 0.37/0.56 (assume @p4 (forall @t5 (= (tptp.join @t1 @t6) @t1))) % 0.37/0.56 (assume @p5 (forall @t5 (= @t6 (tptp.meet @t3 @t1)))) % 0.37/0.56 (assume @p6 (forall @t5 (= @t4 (tptp.join @t3 @t1)))) % 0.37/0.56 (assume @p7 (forall @t9 (= (tptp.meet @t6 @t7) (tptp.meet @t1 @t8)))) % 0.37/0.56 (assume @p8 (forall @t9 (= (tptp.join @t4 @t7) (tptp.join @t1 (tptp.join @t3 @t7))))) % 0.37/0.56 (assume @p9 (forall @t2 (= (tptp.meet @t1 tptp.n0) tptp.n0))) % 0.37/0.56 (assume @p10 (forall @t2 (= (tptp.join @t1 tptp.n0) @t1))) % 0.37/0.56 (assume @p11 (forall @t2 (= (tptp.meet @t1 tptp.n1) @t1))) % 0.37/0.56 (assume @p12 (forall @t2 (= (tptp.join @t1 tptp.n1) tptp.n1))) % 0.37/0.56 (assume @p13 (forall (@list @t1 @t7 @t3) (or (not (= (tptp.meet @t1 @t7) @t1)) (= (tptp.meet @t7 @t4) (tptp.join @t1 @t8))))) % 0.37/0.56 (assume @p14 (forall @t14 (= (tptp.k (tptp.join @t12 @t10)) (tptp.meet @t13 @t11)))) % 0.37/0.56 (assume @p15 (forall @t14 (= (tptp.k @t15) (tptp.join @t13 @t11)))) % 0.37/0.56 (assume @p16 (= @t16 tptp.n1)) % 0.37/0.56 (assume @p17 (= (tptp.k tptp.n1) tptp.n0)) % 0.37/0.56 (assume @p18 @t17) % 0.37/0.56 (assume @p19 (= @t18 tptp.n0)) % 0.37/0.56 (assume @p20 @t28) % 0.37/0.56 (step @p21 :rule symm :premises (@p16)) % 0.37/0.56 (step @p22 :rule cong :premises (@p21) :args (@t18)) % 0.37/0.56 (step @p23 :rule symm :premises (@p19)) % 0.37/0.56 (step @p24 :rule trans :premises (@p23 @p22)) % 0.37/0.56 (step @p25 :rule eq-symm :args (@t19 tptp.n0)) % 0.37/0.56 (step @p26 :rule cong :premises (@p25) :args (@t20)) % 0.37/0.56 (step @p27 :rule refl :args (@t27)) % 0.37/0.56 (step @p28 :rule nary_cong :premises (@p27 @p26) :args (@t28)) % 0.37/0.56 (step @p29 :rule eq_resolve :premises (@p20 @p28)) % 0.37/0.56 (step @p30 :rule chain_m_resolution :premises (@p29 @p24) :args (@t27 @t29 (@list (= tptp.n0 @t19)))) % 0.37/0.56 (step @p31 :rule instantiate :premises (@p14) :args ((@list tptp.aa tptp.bb))) % 0.37/0.56 (step @p32 :rule eq-symm :args (@t31 @t23)) % 0.37/0.56 (step @p33 :rule refl :args (@t17)) % 0.37/0.56 (step @p34 :rule cong :premises (@p33 @p32) :args ((=> @t17 @t32))) % 0.37/0.56 (assume-push @p54 @t17) % 0.37/0.56 (step @p36 :rule instantiate :premises (@p18) :args (@t33)) % 0.37/0.56 (step-pop @p55 :rule scope :premises (@p36)) % 0.37/0.56 (step @p37 :rule process_scope :premises (@p55) :args (@t32)) % 0.37/0.56 (step @p39 :rule eq_resolve :premises (@p37 @p34)) % 0.37/0.56 (step @p40 :rule implies_elim :premises (@p39)) % 0.37/0.56 (step @p41 :rule chain_m_resolution :premises (@p40 @p18) :args (@t34 @t29 (@list @t17))) % 0.37/0.56 (assume-push @p56 @t35) % 0.37/0.56 (assume-push @p57 @t34) % 0.37/0.56 (step @p36 :rule instantiate :premises (@p18) :args (@t33)) % 0.37/0.56 (step @p44 :rule cong :premises (@p31) :args (@t25)) % 0.37/0.56 (step @p45 :rule trans :premises (@p44 @p36)) % 0.37/0.56 (step-pop @p58 :rule scope :premises (@p45)) % 0.37/0.56 (step-pop @p59 :rule scope :premises (@p58)) % 0.37/0.56 (step @p46 :rule process_scope :premises (@p59) :args (@t26)) % 0.37/0.56 (step @p49 :rule implies_elim :premises (@p46)) % 0.37/0.56 (step @p50 :rule cnf_and_neg :args (@t36)) % 0.37/0.56 (step @p51 :rule resolution :premises (@p50 @p49) :args (true @t36)) % 0.37/0.56 (step @p52 :rule reordering :premises (@p51) :args ((or @t26 (not @t35) (not @t34)))) % 0.37/0.56 (step @p53 false :rule chain_m_resolution :premises (@p52 @p41 @p31 @p30) :args (false (@list false false true) (@list @t34 @t35 @t26))) % 0.37/0.56 ) % 0.37/0.56 % SZS output end Proof % 0.37/0.56 % cvc5 exiting %------------------------------------------------------------------------------