TSTP Solution File: COM017+4 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : COM017+4 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n019.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 01:44:19 EDT 2022
% Result : Theorem 0.65s 0.87s
% Output : Refutation 0.70s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 13
% Syntax : Number of clauses : 25 ( 11 unt; 0 nHn; 25 RR)
% Number of literals : 69 ( 0 equ; 48 neg)
% Maximal clause size : 8 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 8 con; 0-3 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
aRewritingSystem0(xR),
file('COM017+4.p',unknown),
[] ).
cnf(2,axiom,
isLocallyConfluent0(xR),
file('COM017+4.p',unknown),
[] ).
cnf(3,axiom,
isTerminating0(xR),
file('COM017+4.p',unknown),
[] ).
cnf(4,axiom,
aElement0(xa),
file('COM017+4.p',unknown),
[] ).
cnf(12,axiom,
aElement0(xv),
file('COM017+4.p',unknown),
[] ).
cnf(29,axiom,
aReductOfIn0(xu,xa,xR),
file('COM017+4.p',unknown),
[] ).
cnf(31,axiom,
aReductOfIn0(xv,xa,xR),
file('COM017+4.p',unknown),
[] ).
cnf(35,axiom,
aElement0(skf26(u,v,w)),
file('COM017+4.p',unknown),
[] ).
cnf(39,axiom,
( ~ sdtmndtasgtdt0(xu,xR,u)
| skP2(u) ),
file('COM017+4.p',unknown),
[] ).
cnf(53,axiom,
( ~ skP2(u)
| ~ aElement0(u)
| ~ sdtmndtasgtdt0(xv,xR,u) ),
file('COM017+4.p',unknown),
[] ).
cnf(64,axiom,
( ~ aRewritingSystem0(u)
| ~ aElement0(v)
| ~ aReductOfIn0(w,v,u)
| aElement0(w) ),
file('COM017+4.p',unknown),
[] ).
cnf(101,axiom,
( ~ isLocallyConfluent0(u)
| ~ aElement0(v)
| ~ aElement0(w)
| ~ aElement0(x)
| ~ aRewritingSystem0(u)
| ~ aReductOfIn0(x,v,u)
| ~ aReductOfIn0(w,v,u)
| sdtmndtasgtdt0(x,u,skf26(x,u,w)) ),
file('COM017+4.p',unknown),
[] ).
cnf(102,axiom,
( ~ isLocallyConfluent0(u)
| ~ aElement0(v)
| ~ aElement0(w)
| ~ aElement0(x)
| ~ aRewritingSystem0(u)
| ~ aReductOfIn0(x,v,u)
| ~ aReductOfIn0(w,v,u)
| sdtmndtasgtdt0(w,u,skf26(x,u,w)) ),
file('COM017+4.p',unknown),
[] ).
cnf(111,plain,
( ~ aRewritingSystem0(u)
| ~ aElement0(v)
| ~ isLocallyConfluent0(u)
| ~ aReductOfIn0(w,v,u)
| ~ aReductOfIn0(x,v,u)
| sdtmndtasgtdt0(x,u,skf26(x,u,w)) ),
inference(mrr,[status(thm)],[101,64]),
[iquote('0:MRR:101.2,101.3,64.3,64.3')] ).
cnf(112,plain,
( ~ aRewritingSystem0(u)
| ~ aElement0(v)
| ~ isLocallyConfluent0(u)
| ~ aReductOfIn0(w,v,u)
| ~ aReductOfIn0(x,v,u)
| sdtmndtasgtdt0(w,u,skf26(x,u,w)) ),
inference(mrr,[status(thm)],[102,64]),
[iquote('0:MRR:102.2,102.3,64.3,64.3')] ).
cnf(1557,plain,
( ~ aRewritingSystem0(xR)
| ~ aElement0(xa)
| ~ isLocallyConfluent0(xR)
| ~ aReductOfIn0(u,xa,xR)
| sdtmndtasgtdt0(u,xR,skf26(u,xR,xv)) ),
inference(res,[status(thm),theory(equality)],[31,111]),
[iquote('0:Res:31.0,111.3')] ).
cnf(1558,plain,
( ~ aRewritingSystem0(xR)
| ~ aElement0(xa)
| ~ isLocallyConfluent0(xR)
| ~ aReductOfIn0(u,xa,xR)
| sdtmndtasgtdt0(xv,xR,skf26(u,xR,xv)) ),
inference(res,[status(thm),theory(equality)],[31,112]),
[iquote('0:Res:31.0,112.3')] ).
cnf(1567,plain,
( ~ aReductOfIn0(u,xa,xR)
| sdtmndtasgtdt0(xv,xR,skf26(u,xR,xv)) ),
inference(ssi,[status(thm)],[1558,3,2,1,4]),
[iquote('0:SSi:1558.2,1558.1,1558.0,3.0,2.0,1.0,4.0,3.0,2.0,1.0')] ).
cnf(1568,plain,
( ~ aReductOfIn0(u,xa,xR)
| sdtmndtasgtdt0(u,xR,skf26(u,xR,xv)) ),
inference(ssi,[status(thm)],[1557,3,2,1,4]),
[iquote('0:SSi:1557.2,1557.1,1557.0,3.0,2.0,1.0,4.0,3.0,2.0,1.0')] ).
cnf(1963,plain,
( ~ skP2(skf26(u,xR,xv))
| ~ aElement0(skf26(u,xR,xv))
| ~ aReductOfIn0(u,xa,xR) ),
inference(res,[status(thm),theory(equality)],[1567,53]),
[iquote('0:Res:1567.1,53.2')] ).
cnf(1969,plain,
( ~ skP2(skf26(u,xR,xv))
| ~ aReductOfIn0(u,xa,xR) ),
inference(ssi,[status(thm)],[1963,35,3,2,1,12]),
[iquote('0:SSi:1963.1,35.0,3.0,2.0,1.0,12.0')] ).
cnf(2427,plain,
( ~ aReductOfIn0(xu,xa,xR)
| skP2(skf26(xu,xR,xv)) ),
inference(res,[status(thm),theory(equality)],[1568,39]),
[iquote('0:Res:1568.1,39.0')] ).
cnf(2435,plain,
skP2(skf26(xu,xR,xv)),
inference(mrr,[status(thm)],[2427,29]),
[iquote('0:MRR:2427.0,29.0')] ).
cnf(2443,plain,
~ aReductOfIn0(xu,xa,xR),
inference(sor,[status(thm)],[1969,2435]),
[iquote('0:SoR:1969.0,2435.0')] ).
cnf(2444,plain,
$false,
inference(mrr,[status(thm)],[2443,29]),
[iquote('0:MRR:2443.0,29.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : COM017+4 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.12 % Command : run_spass %d %s
% 0.12/0.33 % Computer : n019.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 16 18:59:09 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.65/0.87
% 0.65/0.87 SPASS V 3.9
% 0.65/0.87 SPASS beiseite: Proof found.
% 0.65/0.87 % SZS status Theorem
% 0.65/0.87 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.65/0.87 SPASS derived 1774 clauses, backtracked 351 clauses, performed 19 splits and kept 1590 clauses.
% 0.65/0.87 SPASS allocated 99709 KBytes.
% 0.65/0.87 SPASS spent 0:00:00.51 on the problem.
% 0.65/0.87 0:00:00.04 for the input.
% 0.65/0.87 0:00:00.09 for the FLOTTER CNF translation.
% 0.65/0.87 0:00:00.03 for inferences.
% 0.65/0.87 0:00:00.01 for the backtracking.
% 0.65/0.87 0:00:00.30 for the reduction.
% 0.65/0.87
% 0.65/0.87
% 0.65/0.87 Here is a proof with depth 3, length 25 :
% 0.65/0.87 % SZS output start Refutation
% See solution above
% 0.70/0.87 Formulae used in the proof : m__656 m__656_01 m__779 m__731 m__755 mWCRDef m__ mReduct
% 0.70/0.87
%------------------------------------------------------------------------------