%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : CSR041-10 : TPTP v8.1.0. Released v7.5.0.
% Transfm  : none
% Format   : tptp
% Command  : run_spass %d %s

% Computer : n006.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 23:24:32 EDT 2022

% Result   : Unsatisfiable 0.22s 0.44s
% Output   : Refutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    7
% Syntax   : Number of clauses     :   14 (  14 unt;   0 nHn;  14 RR)
%            Number of literals    :   14 (   0 equ;   1 neg)
%            Maximal clause size   :    1 (   1 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :   16 (  16 usr;   8 con; 0-4 aty)
%            Number of variables   :    0 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(1,axiom,
    equal(ifeq3(u,u,v,w),v),
    file('CSR041-10.p',unknown),
    [] ).

cnf(2,axiom,
    equal(ifeq2(u,u,v,w),v),
    file('CSR041-10.p',unknown),
    [] ).

cnf(5,axiom,
    equal(ifeq3(aspatialinformationstore(u),true__dfg,aspatialthing(u),true__dfg),true__dfg),
    file('CSR041-10.p',unknown),
    [] ).

cnf(7,axiom,
    equal(ifeq3(microtheory(u),true__dfg,aspatialinformationstore(u),true__dfg),true__dfg),
    file('CSR041-10.p',unknown),
    [] ).

cnf(43,axiom,
    equal(microtheory(f_contentmtofcdafromeventfn(u,v)),true__dfg),
    file('CSR041-10.p',unknown),
    [] ).

cnf(77,axiom,
    equal(ifeq2(aspatialthing(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_wwwinformationblastcomtechnical_university_of_munichhtml)),c_translation_3)),true__dfg,a,b),b),
    file('CSR041-10.p',unknown),
    [] ).

cnf(78,axiom,
    ~ equal(b,a),
    file('CSR041-10.p',unknown),
    [] ).

cnf(105,plain,
    equal(ifeq3(true__dfg,true__dfg,aspatialinformationstore(f_contentmtofcdafromeventfn(u,v)),true__dfg),true__dfg),
    inference(spr,[status(thm),theory(equality)],[43,7]),
    [iquote('0:SpR:43.0,7.0')] ).

cnf(106,plain,
    equal(aspatialinformationstore(f_contentmtofcdafromeventfn(u,v)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,105]),
    [iquote('0:Rew:1.0,105.0')] ).

cnf(111,plain,
    equal(ifeq3(true__dfg,true__dfg,aspatialthing(f_contentmtofcdafromeventfn(u,v)),true__dfg),true__dfg),
    inference(spr,[status(thm),theory(equality)],[106,5]),
    [iquote('0:SpR:106.0,5.0')] ).

cnf(112,plain,
    equal(aspatialthing(f_contentmtofcdafromeventfn(u,v)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,111]),
    [iquote('0:Rew:1.0,111.0')] ).

cnf(113,plain,
    equal(ifeq2(true__dfg,true__dfg,a,b),b),
    inference(rew,[status(thm),theory(equality)],[112,77]),
    [iquote('0:Rew:112.0,77.0')] ).

cnf(114,plain,
    equal(b,a),
    inference(rew,[status(thm),theory(equality)],[2,113]),
    [iquote('0:Rew:2.0,113.0')] ).

cnf(115,plain,
    $false,
    inference(mrr,[status(thm)],[114,78]),
    [iquote('0:MRR:114.0,78.0')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem  : CSR041-10 : TPTP v8.1.0. Released v7.5.0.
% 0.12/0.14  % Command  : run_spass %d %s
% 0.14/0.35  % Computer : n006.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 600
% 0.14/0.35  % DateTime : Sat Jun 11 05:14:12 EDT 2022
% 0.14/0.35  % CPUTime  : 
% 0.22/0.44  
% 0.22/0.44  SPASS V 3.9 
% 0.22/0.44  SPASS beiseite: Proof found.
% 0.22/0.44  % SZS status Theorem
% 0.22/0.44  Problem: /export/starexec/sandbox/benchmark/theBenchmark.p 
% 0.22/0.44  SPASS derived 32 clauses, backtracked 0 clauses, performed 0 splits and kept 68 clauses.
% 0.22/0.44  SPASS allocated 63230 KBytes.
% 0.22/0.44  SPASS spent	0:00:00.07 on the problem.
% 0.22/0.44  		0:00:00.04 for the input.
% 0.22/0.44  		0:00:00.00 for the FLOTTER CNF translation.
% 0.22/0.44  		0:00:00.00 for inferences.
% 0.22/0.44  		0:00:00.00 for the backtracking.
% 0.22/0.44  		0:00:00.01 for the reduction.
% 0.22/0.44  
% 0.22/0.44  
% 0.22/0.44  Here is a proof with depth 2, length 14 :
% 0.22/0.44  % SZS output start Refutation
% See solution above
% 0.22/0.44  Formulae used in the proof : ifeq_axiom ifeq_axiom_001 just2 just4 just41 query41_1 goal
% 0.22/0.44  
%------------------------------------------------------------------------------