TSTP Solution File: CAT020-3 by SPASS---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : CAT020-3 : TPTP v8.1.0. Released v2.5.0.
% Transfm  : none
% Format   : tptp
% Command  : run_spass %d %s

% Computer : n022.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 00:07:33 EDT 2022

% Result   : Satisfiable 131.59s 131.85s
% Output   : Saturation 131.59s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named 7)

% Comments : 
%------------------------------------------------------------------------------
cnf(167265,plain,
    equal(compose(codomain(u),v),v),
    inference(spr,[status(thm),theory(equality)],[167038,11]),
    [iquote('5:SpR:167038.0,11.0')] ).

cnf(167222,plain,
    equal(compose(u,domain__dfg(v)),u),
    inference(spr,[status(thm),theory(equality)],[166532,10]),
    [iquote('5:SpR:166532.0,10.0')] ).

cnf(167054,plain,
    equal(compose(domain__dfg(u),v),v),
    inference(spr,[status(thm),theory(equality)],[166514,11]),
    [iquote('5:SpR:166514.0,11.0')] ).

cnf(166504,plain,
    ( ~ equal(u,v)
    | equivalent(u,v) ),
    inference(mrr,[status(thm)],[3,166503]),
    [iquote('5:MRR:3.0,166503.0')] ).

cnf(167031,plain,
    equal(compose(u,codomain(v)),u),
    inference(spr,[status(thm),theory(equality)],[166514,10]),
    [iquote('5:SpR:166514.0,10.0')] ).

cnf(166870,plain,
    equal(codomain(domain__dfg(u)),domain__dfg(u)),
    inference(rew,[status(thm),theory(equality)],[166515,166517]),
    [iquote('5:Rew:166515.0,166517.0')] ).

cnf(167038,plain,
    equal(codomain(u),codomain(v)),
    inference(spr,[status(thm),theory(equality)],[166514]),
    [iquote('5:SpR:166514.0,166514.0')] ).

cnf(166532,plain,
    equal(domain__dfg(u),domain__dfg(v)),
    inference(mrr,[status(thm)],[31663,166503]),
    [iquote('5:MRR:31663.0,166503.0')] ).

cnf(166514,plain,
    equal(domain__dfg(u),codomain(v)),
    inference(mrr,[status(thm)],[7,166503]),
    [iquote('5:MRR:7.0,166503.0')] ).

cnf(166503,plain,
    there_exists(u),
    inference(spt,[],[165851]),
    [iquote('5:Spt:165851.2')] ).

cnf(163,plain,
    ( ~ equal(u,v)
    | equal(v,u)
    | equal(f1(v,u),v) ),
    inference(eqf,[status(thm),theory(equality)],[16]),
    [iquote('0:EqF:16.1,16.2')] ).

cnf(17,axiom,
    ( ~ equal(f1(u,v),v)
    | ~ equal(f1(u,v),u)
    | equal(u,v) ),
    file('CAT020-3.p',unknown),
    [] ).

cnf(16,axiom,
    ( equal(u,v)
    | equal(f1(u,v),v)
    | equal(f1(u,v),u) ),
    file('CAT020-3.p',unknown),
    [] ).

cnf(9,axiom,
    equal(compose(compose(u,v),w),compose(u,compose(v,w))),
    file('CAT020-3.p',unknown),
    [] ).

cnf(2,axiom,
    ( ~ equivalent(u,v)
    | equal(u,v) ),
    file('CAT020-3.p',unknown),
    [] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : CAT020-3 : TPTP v8.1.0. Released v2.5.0.
% 0.12/0.13  % Command  : run_spass %d %s
% 0.12/0.33  % Computer : n022.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 : Sun May 29 22:48:08 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 131.59/131.85  
% 131.59/131.85  SPASS V 3.9 
% 131.59/131.85  SPASS beiseite: Completion found.
% 131.59/131.85  % SZS status CounterSatisfiable
% 131.59/131.85  Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p 
% 131.59/131.85  SPASS derived 94880 clauses, backtracked 0 clauses, performed 5 splits and kept 5416 clauses.
% 131.59/131.85  SPASS allocated 182582 KBytes.
% 131.59/131.85  SPASS spent	0:1:23.92 on the problem.
% 131.59/131.85  		0:00:00.04 for the input.
% 131.59/131.85  		0:00:00.00 for the FLOTTER CNF translation.
% 131.59/131.85  		0:00:01.40 for inferences.
% 131.59/131.85  		0:00:00.00 for the backtracking.
% 131.59/131.85  		0:1:22.41 for the reduction.
% 131.59/131.85  
% 131.59/131.85  
% 131.59/131.85   The saturated set of worked-off clauses is :
% 131.59/131.85  % SZS output start Saturation
% See solution above
%------------------------------------------------------------------------------