TSTP Solution File: COM023+1 by SPASS---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : COM023+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n013.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 01:44:22 EDT 2022
% Result : Theorem 0.19s 0.52s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 13
% Syntax : Number of clauses : 29 ( 13 unt; 2 nHn; 29 RR)
% Number of literals : 71 ( 0 equ; 48 neg)
% Maximal clause size : 6 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
aRewritingSystem0(xR),
file('COM023+1.p',unknown),
[] ).
cnf(2,axiom,
isLocallyConfluent0(xR),
file('COM023+1.p',unknown),
[] ).
cnf(3,axiom,
isTerminating0(xR),
file('COM023+1.p',unknown),
[] ).
cnf(4,axiom,
~ isConfluent0(xR),
file('COM023+1.p',unknown),
[] ).
cnf(5,axiom,
aElement0(skf20(u)),
file('COM023+1.p',unknown),
[] ).
cnf(6,axiom,
aElement0(skf19(u)),
file('COM023+1.p',unknown),
[] ).
cnf(7,axiom,
aElement0(skf17(u)),
file('COM023+1.p',unknown),
[] ).
cnf(13,axiom,
aElement0(skf31(u,v)),
file('COM023+1.p',unknown),
[] ).
cnf(17,axiom,
( ~ aRewritingSystem0(u)
| isConfluent0(u)
| sdtmndtasgtdt0(skf20(u),u,skf19(u)) ),
file('COM023+1.p',unknown),
[] ).
cnf(18,axiom,
( ~ aRewritingSystem0(u)
| isConfluent0(u)
| sdtmndtasgtdt0(skf20(u),u,skf17(u)) ),
file('COM023+1.p',unknown),
[] ).
cnf(33,axiom,
( ~ aRewritingSystem0(u)
| ~ aElement0(v)
| ~ sdtmndtasgtdt0(skf19(u),u,v)
| ~ sdtmndtasgtdt0(skf17(u),u,v)
| isConfluent0(u) ),
file('COM023+1.p',unknown),
[] ).
cnf(36,axiom,
( ~ aElement0(u)
| ~ aElement0(v)
| ~ aElement0(w)
| ~ sdtmndtasgtdt0(w,xR,u)
| ~ sdtmndtasgtdt0(w,xR,v)
| sdtmndtasgtdt0(u,xR,skf31(u,v)) ),
file('COM023+1.p',unknown),
[] ).
cnf(37,axiom,
( ~ aElement0(u)
| ~ aElement0(v)
| ~ aElement0(w)
| ~ sdtmndtasgtdt0(w,xR,u)
| ~ sdtmndtasgtdt0(w,xR,v)
| sdtmndtasgtdt0(v,xR,skf31(u,v)) ),
file('COM023+1.p',unknown),
[] ).
cnf(51,plain,
( ~ aRewritingSystem0(xR)
| sdtmndtasgtdt0(skf20(xR),xR,skf19(xR)) ),
inference(res,[status(thm),theory(equality)],[17,4]),
[iquote('0:Res:17.2,4.0')] ).
cnf(52,plain,
( ~ aRewritingSystem0(xR)
| sdtmndtasgtdt0(skf20(xR),xR,skf17(xR)) ),
inference(res,[status(thm),theory(equality)],[18,4]),
[iquote('0:Res:18.2,4.0')] ).
cnf(53,plain,
( ~ aElement0(u)
| ~ aRewritingSystem0(xR)
| ~ sdtmndtasgtdt0(skf17(xR),xR,u)
| ~ sdtmndtasgtdt0(skf19(xR),xR,u) ),
inference(res,[status(thm),theory(equality)],[33,4]),
[iquote('0:Res:33.4,4.0')] ).
cnf(54,plain,
sdtmndtasgtdt0(skf20(xR),xR,skf19(xR)),
inference(mrr,[status(thm)],[51,1]),
[iquote('0:MRR:51.0,1.0')] ).
cnf(55,plain,
sdtmndtasgtdt0(skf20(xR),xR,skf17(xR)),
inference(mrr,[status(thm)],[52,1]),
[iquote('0:MRR:52.0,1.0')] ).
cnf(56,plain,
( ~ aElement0(u)
| ~ sdtmndtasgtdt0(skf19(xR),xR,u)
| ~ sdtmndtasgtdt0(skf17(xR),xR,u) ),
inference(mrr,[status(thm)],[53,1]),
[iquote('0:MRR:53.1,1.0')] ).
cnf(274,plain,
( ~ aElement0(skf17(xR))
| ~ aElement0(u)
| ~ aElement0(skf20(xR))
| ~ sdtmndtasgtdt0(skf20(xR),xR,u)
| sdtmndtasgtdt0(u,xR,skf31(skf17(xR),u)) ),
inference(res,[status(thm),theory(equality)],[55,37]),
[iquote('0:Res:55.0,37.3')] ).
cnf(280,plain,
( ~ aElement0(u)
| ~ sdtmndtasgtdt0(skf20(xR),xR,u)
| sdtmndtasgtdt0(u,xR,skf31(skf17(xR),u)) ),
inference(ssi,[status(thm)],[274,5,3,2,1,7]),
[iquote('0:SSi:274.2,274.0,5.0,3.0,2.0,1.0,7.0,3.0,2.0,1.0')] ).
cnf(314,plain,
( ~ aElement0(skf17(xR))
| ~ aElement0(u)
| ~ aElement0(skf20(xR))
| ~ sdtmndtasgtdt0(skf20(xR),xR,u)
| sdtmndtasgtdt0(skf17(xR),xR,skf31(skf17(xR),u)) ),
inference(res,[status(thm),theory(equality)],[55,36]),
[iquote('0:Res:55.0,36.3')] ).
cnf(321,plain,
( ~ aElement0(u)
| ~ sdtmndtasgtdt0(skf20(xR),xR,u)
| sdtmndtasgtdt0(skf17(xR),xR,skf31(skf17(xR),u)) ),
inference(ssi,[status(thm)],[314,5,3,2,1,7]),
[iquote('0:SSi:314.2,314.0,5.0,3.0,2.0,1.0,7.0,3.0,2.0,1.0')] ).
cnf(339,plain,
( ~ aElement0(skf19(xR))
| ~ aElement0(skf31(skf17(xR),skf19(xR)))
| ~ sdtmndtasgtdt0(skf20(xR),xR,skf19(xR))
| ~ sdtmndtasgtdt0(skf17(xR),xR,skf31(skf17(xR),skf19(xR))) ),
inference(res,[status(thm),theory(equality)],[280,56]),
[iquote('0:Res:280.2,56.1')] ).
cnf(352,plain,
( ~ sdtmndtasgtdt0(skf20(xR),xR,skf19(xR))
| ~ sdtmndtasgtdt0(skf17(xR),xR,skf31(skf17(xR),skf19(xR))) ),
inference(ssi,[status(thm)],[339,13,7,3,2,1,6]),
[iquote('0:SSi:339.1,339.0,13.0,7.0,3.0,2.0,1.0,6.0,3.0,2.0,1.0,6.0,3.0,2.0,1.0')] ).
cnf(353,plain,
~ sdtmndtasgtdt0(skf17(xR),xR,skf31(skf17(xR),skf19(xR))),
inference(mrr,[status(thm)],[352,54]),
[iquote('0:MRR:352.0,54.0')] ).
cnf(420,plain,
( ~ aElement0(skf19(xR))
| ~ sdtmndtasgtdt0(skf20(xR),xR,skf19(xR)) ),
inference(res,[status(thm),theory(equality)],[321,353]),
[iquote('0:Res:321.2,353.0')] ).
cnf(423,plain,
~ sdtmndtasgtdt0(skf20(xR),xR,skf19(xR)),
inference(ssi,[status(thm)],[420,6,3,2,1]),
[iquote('0:SSi:420.0,6.0,3.0,2.0,1.0')] ).
cnf(424,plain,
$false,
inference(mrr,[status(thm)],[423,54]),
[iquote('0:MRR:423.0,54.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : COM023+1 : TPTP v8.1.0. Released v4.0.0.
% 0.06/0.13 % Command : run_spass %d %s
% 0.13/0.34 % Computer : n013.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Thu Jun 16 18:43:29 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.52
% 0.19/0.52 SPASS V 3.9
% 0.19/0.52 SPASS beiseite: Proof found.
% 0.19/0.52 % SZS status Theorem
% 0.19/0.52 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.52 SPASS derived 173 clauses, backtracked 12 clauses, performed 4 splits and kept 183 clauses.
% 0.19/0.52 SPASS allocated 104597 KBytes.
% 0.19/0.52 SPASS spent 0:00:00.17 on the problem.
% 0.19/0.52 0:00:00.03 for the input.
% 0.19/0.52 0:00:00.08 for the FLOTTER CNF translation.
% 0.19/0.52 0:00:00.00 for inferences.
% 0.19/0.52 0:00:00.00 for the backtracking.
% 0.19/0.52 0:00:00.03 for the reduction.
% 0.19/0.52
% 0.19/0.52
% 0.19/0.52 Here is a proof with depth 4, length 29 :
% 0.19/0.52 % SZS output start Refutation
% See solution above
% 0.19/0.52 Formulae used in the proof : m__656 m__656_01 m__ mCRDef m__715
% 0.19/0.52
%------------------------------------------------------------------------------