↑ Up

cvc5---1.3.4.UNS-Prf.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : LAT259-2 : TPTP v9.2.1. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n014.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 08:30:00 AM UTC 2026

% Result   : Unsatisfiable 0.29s 0.54s
% Output   : Proof 0.29s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : LAT259-2 : TPTP v9.2.1. Released v3.2.0.
% 0.00/0.13  % Command  : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.16/0.34  % Computer : n014.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 06:07:13 EDT 2026
% 0.16/0.34  % CPUTime  : 
% 0.29/0.48  %----Proving TF0_NAR, FOF, or CNF
% 0.29/0.50  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15...
% 0.29/0.54  % SZS status Unsatisfiable
% 0.29/0.54  % SZS output start Proof
% 0.29/0.54  (
% 0.29/0.54  (declare-sort $$unsorted 0)
% 0.29/0.54  (declare-const tptp.v_cl $$unsorted)
% 0.29/0.54  (declare-const tptp.tc_Product__Type_Ounit $$unsorted)
% 0.29/0.54  (declare-const tptp.c_Relation_Oantisym (-> $$unsorted $$unsorted Bool))
% 0.29/0.54  (declare-const tptp.c_Tarski_Opotype_Oorder (-> $$unsorted $$unsorted $$unsorted $$unsorted))
% 0.29/0.54  (declare-const tptp.c_in (-> $$unsorted $$unsorted $$unsorted Bool))
% 0.29/0.54  (declare-const tptp.c_Pair (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted))
% 0.29/0.54  (declare-const tptp.v_a $$unsorted)
% 0.29/0.54  (declare-const tptp.v_b $$unsorted)
% 0.29/0.54  (declare-const tptp.c_Tarski_OPartialOrder $$unsorted)
% 0.29/0.54  (declare-const tptp.v_r $$unsorted)
% 0.29/0.54  (declare-const tptp.tc_Tarski_Opotype_Opotype__ext__type (-> $$unsorted $$unsorted $$unsorted))
% 0.29/0.54  (declare-const tptp.tc_prod (-> $$unsorted $$unsorted $$unsorted))
% 0.29/0.54  (declare-const tptp.t_a $$unsorted)
% 0.29/0.54  (define @t1 () (tptp.tc_prod tptp.t_a tptp.t_a))
% 0.29/0.54  (define @t2 () (tptp.c_in (tptp.c_Pair tptp.v_a tptp.v_b tptp.t_a tptp.t_a) tptp.v_r @t1))
% 0.29/0.54  (define @t3 () (tptp.c_in (tptp.c_Pair tptp.v_b tptp.v_a tptp.t_a tptp.t_a) tptp.v_r @t1))
% 0.29/0.54  (define @t4 () (= tptp.v_a tptp.v_b))
% 0.29/0.54  (define @t5 () (@var "V_V" $$unsorted))
% 0.29/0.54  (define @t6 () (@var "V_U" $$unsorted))
% 0.29/0.54  (define @t7 () (@var "T_a" $$unsorted))
% 0.29/0.54  (define @t8 () (tptp.tc_prod @t7 @t7))
% 0.29/0.54  (define @t9 () (@var "V_r" $$unsorted))
% 0.29/0.54  (define @t10 () (not (tptp.c_in (tptp.c_Pair @t6 @t5 @t7 @t7) @t9 @t8)))
% 0.29/0.54  (define @t11 () (not (tptp.c_in (tptp.c_Pair @t5 @t6 @t7 @t7) @t9 @t8)))
% 0.29/0.54  (define @t12 () (not (tptp.c_Relation_Oantisym @t9 @t7)))
% 0.29/0.54  (define @t13 () (or @t12 @t11 @t10 (= @t6 @t5)))
% 0.29/0.54  (define @t14 () (forall (@list @t9 @t7 @t5 @t6) @t13))
% 0.29/0.54  (define @t15 () (@var "V_P" $$unsorted))
% 0.29/0.54  (define @t16 () (tptp.c_in tptp.v_cl tptp.c_Tarski_OPartialOrder (tptp.tc_Tarski_Opotype_Opotype__ext__type tptp.t_a tptp.tc_Product__Type_Ounit)))
% 0.29/0.54  (define @t17 () (tptp.c_Tarski_Opotype_Oorder tptp.v_cl tptp.t_a tptp.tc_Product__Type_Ounit))
% 0.29/0.54  (define @t18 () (= tptp.v_r @t17))
% 0.29/0.54  (define @t19 () (not @t3))
% 0.29/0.54  (define @t20 () (not @t2))
% 0.29/0.54  (define @t21 () (tptp.c_Relation_Oantisym tptp.v_r tptp.t_a))
% 0.29/0.54  (define @t22 () (not @t21))
% 0.29/0.54  (define @t23 () (or @t22 @t20 @t19 @t4))
% 0.29/0.54  (define @t24 () (tptp.c_Relation_Oantisym @t17 tptp.t_a))
% 0.29/0.54  (define @t25 () (not @t16))
% 0.29/0.54  (define @t26 () (or @t25 @t24))
% 0.29/0.54  (define @t27 () (not @t24))
% 0.29/0.54  (define @t28 () (not @t18))
% 0.29/0.54  (define @t29 () (and @t18 @t22))
% 0.29/0.54  (assume @p1 @t2)
% 0.29/0.54  (assume @p2 @t3)
% 0.29/0.54  (assume @p3 (not @t4))
% 0.29/0.54  (assume @p4 @t14)
% 0.29/0.54  (assume @p5 (forall (@list @t15 @t7) (or (not (tptp.c_in @t15 tptp.c_Tarski_OPartialOrder (tptp.tc_Tarski_Opotype_Opotype__ext__type @t7 tptp.tc_Product__Type_Ounit))) (tptp.c_Relation_Oantisym (tptp.c_Tarski_Opotype_Oorder @t15 @t7 tptp.tc_Product__Type_Ounit) @t7))))
% 0.29/0.54  (assume @p6 @t16)
% 0.29/0.54  (assume @p7 @t18)
% 0.29/0.54  (step @p8 :rule eq-symm :args (@t6 @t5))
% 0.29/0.54  (step @p9 :rule refl :args (@t10))
% 0.29/0.54  (step @p10 :rule refl :args (@t11))
% 0.29/0.54  (step @p11 :rule refl :args (@t12))
% 0.29/0.54  (step @p12 :rule nary_cong :premises (@p11 @p10 @p9 @p8) :args (@t13))
% 0.29/0.54  (step @p13 :rule cong :premises (@p12) :args (@t14))
% 0.29/0.54  (step @p14 :rule eq_resolve :premises (@p4 @p13))
% 0.29/0.54  (step @p15 :rule instantiate :premises (@p14) :args ((@list tptp.v_r tptp.t_a tptp.v_a tptp.v_b)))
% 0.29/0.54  (step @p16 :rule cnf_or_pos :args (@t23))
% 0.29/0.54  (step @p17 :rule reordering :premises (@p16) :args ((or @t4 @t20 @t19 @t22 (not @t23))))
% 0.29/0.54  (step @p18 :rule chain_m_resolution :premises (@p17 @p3 @p1 @p2 @p15) :args (@t22 (@list true false false false) (@list @t4 @t2 @t3 @t23)))
% 0.29/0.54  (step @p19 :rule instantiate :premises (@p5) :args ((@list tptp.v_cl tptp.t_a)))
% 0.29/0.54  (step @p20 :rule cnf_or_pos :args (@t26))
% 0.29/0.54  (step @p21 :rule reordering :premises (@p20) :args ((or @t25 @t24 (not @t26))))
% 0.29/0.54  (step @p22 :rule chain_m_resolution :premises (@p21 @p6 @p19) :args (@t24 (@list false false) (@list @t16 @t26)))
% 0.29/0.54  (step @p23 :rule refl :args (@t27))
% 0.29/0.54  (step @p24 :rule bool-double-not-elim :args (@t21))
% 0.29/0.54  (step @p25 :rule refl :args (@t28))
% 0.29/0.54  (step @p26 :rule nary_cong :premises (@p25 @p24 @p23) :args ((or @t28 (not @t22) @t27)))
% 0.29/0.54  (assume-push @p43 @t18)
% 0.29/0.54  (assume-push @p44 @t22)
% 0.29/0.54  (step @p29 :rule false_intro :premises (@p18))
% 0.29/0.54  (step @p30 :rule refl :args (tptp.t_a))
% 0.29/0.54  (step @p31 :rule symm :premises (@p7))
% 0.29/0.54  (step @p32 :rule cong :premises (@p31 @p30) :args (@t24))
% 0.29/0.54  (step @p33 :rule trans :premises (@p32 @p29))
% 0.29/0.54  (step @p34 :rule false_elim :premises (@p33))
% 0.29/0.54  (step-pop @p45 :rule scope :premises (@p34))
% 0.29/0.54  (step-pop @p46 :rule scope :premises (@p45))
% 0.29/0.54  (step @p35 :rule process_scope :premises (@p46) :args (@t27))
% 0.29/0.54  (step @p38 :rule implies_elim :premises (@p35))
% 0.29/0.54  (step @p39 :rule cnf_and_neg :args (@t29))
% 0.29/0.54  (step @p40 :rule resolution :premises (@p39 @p38) :args (true @t29))
% 0.29/0.54  (step @p41 :rule eq_resolve :premises (@p40 @p26))
% 0.29/0.54  (step @p42 false :rule chain_m_resolution :premises (@p41 @p22 @p18 @p7) :args (false (@list false true false) (@list @t24 @t21 @t18)))
% 0.29/0.54  )
% 0.29/0.54  % SZS output end Proof
% 0.29/0.54  % cvc5 exiting
%------------------------------------------------------------------------------