TSTP Solution File: CSR051-10 by SPASS---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : CSR051-10 : TPTP v8.1.0. Released v7.3.0.
% Transfm  : none
% Format   : tptp
% Command  : run_spass %d %s

% 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  : 600s
% DateTime : Fri Jul 15 23:24:41 EDT 2022

% Result   : Unsatisfiable 54.26s 54.44s
% Output   : Refutation 54.26s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    6
% Syntax   : Number of clauses     :   10 (  10 unt;   0 nHn;  10 RR)
%            Number of literals    :   10 (   0 equ;   1 neg)
%            Maximal clause size   :    1 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :   12 (  12 usr;   8 con; 0-4 aty)
%            Number of variables   :    0 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(1,axiom,
    equal(ifeq4(u,u,v,w),v),
    file('CSR051-10.p',unknown),
    [] ).

cnf(2,axiom,
    equal(ifeq3(u,u,v,w),v),
    file('CSR051-10.p',unknown),
    [] ).

cnf(3138,axiom,
    equal(ifeq4(mtvisible(c_tptp_member3356_mt),true__dfg,marriagelicensedocument(c_tptpmarriagelicensedocument),true__dfg),true__dfg),
    file('CSR051-10.p',unknown),
    [] ).

cnf(8010,axiom,
    equal(mtvisible(c_tptp_member3356_mt),true__dfg),
    file('CSR051-10.p',unknown),
    [] ).

cnf(8011,axiom,
    equal(ifeq3(marriagelicensedocument(u),true__dfg,a,b),b),
    file('CSR051-10.p',unknown),
    [] ).

cnf(8012,axiom,
    ~ equal(b,a),
    file('CSR051-10.p',unknown),
    [] ).

cnf(8013,plain,
    equal(marriagelicensedocument(c_tptpmarriagelicensedocument),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,3138,8010]),
    [iquote('0:Rew:1.0,3138.0,8010.0,3138.0')] ).

cnf(10481,plain,
    equal(ifeq3(true__dfg,true__dfg,a,b),b),
    inference(spr,[status(thm),theory(equality)],[8013,8011]),
    [iquote('0:SpR:8013.0,8011.0')] ).

cnf(10482,plain,
    equal(b,a),
    inference(rew,[status(thm),theory(equality)],[2,10481]),
    [iquote('0:Rew:2.0,10481.0')] ).

cnf(10483,plain,
    $false,
    inference(mrr,[status(thm)],[10482,8012]),
    [iquote('0:MRR:10482.0,8012.0')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : CSR051-10 : TPTP v8.1.0. Released v7.3.0.
% 0.11/0.12  % Command  : run_spass %d %s
% 0.12/0.33  % Computer : n026.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Thu Jun  9 22:58:18 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 54.26/54.44  
% 54.26/54.44  SPASS V 3.9 
% 54.26/54.44  SPASS beiseite: Proof found.
% 54.26/54.44  % SZS status Theorem
% 54.26/54.44  Problem: /export/starexec/sandbox/benchmark/theBenchmark.p 
% 54.26/54.44  SPASS derived 2458 clauses, backtracked 0 clauses, performed 0 splits and kept 7351 clauses.
% 54.26/54.44  SPASS allocated 74552 KBytes.
% 54.26/54.44  SPASS spent	0:0:49.41 on the problem.
% 54.26/54.44  		0:00:01.04 for the input.
% 54.26/54.44  		0:00:00.00 for the FLOTTER CNF translation.
% 54.26/54.44  		0:00:00.74 for inferences.
% 54.26/54.44  		0:00:00.00 for the backtracking.
% 54.26/54.44  		0:0:25.87 for the reduction.
% 54.26/54.44  
% 54.26/54.44  
% 54.26/54.44  Here is a proof with depth 1, length 10 :
% 54.26/54.44  % SZS output start Refutation
% See solution above
% 54.26/54.44  Formulae used in the proof : ifeq_axiom ifeq_axiom_001 ax2_3147 query151 query151_1 goal
% 54.26/54.44  
%------------------------------------------------------------------------------