TSTP Solution File: KRS215+1 by SPASS---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : KRS215+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n024.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 : Sun Jul 17 03:30:54 EDT 2022
% Result : Theorem 20.71s 20.88s
% Output : Refutation 20.71s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 7
% Syntax : Number of clauses : 14 ( 6 unt; 4 nHn; 14 RR)
% Number of literals : 26 ( 0 equ; 10 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 8 con; 0-1 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
model(u,skc57),
file('KRS215+1.p',unknown),
[] ).
cnf(9,axiom,
~ nota(csa,thm),
file('KRS215+1.p',unknown),
[] ).
cnf(11,axiom,
~ model(u,skc61),
file('KRS215+1.p',unknown),
[] ).
cnf(18,axiom,
( model(u,v)
| model(u,not__dfg(v)) ),
file('KRS215+1.p',unknown),
[] ).
cnf(71,axiom,
( ~ model(u,v)
| ~ status__dfg(v,w,thm)
| model(u,w) ),
file('KRS215+1.p',unknown),
[] ).
cnf(82,axiom,
( ~ status__dfg(u,v,w)
| nota(w,x)
| status__dfg(u,v,x) ),
file('KRS215+1.p',unknown),
[] ).
cnf(91,axiom,
( ~ model(u,v)
| ~ model(u,not__dfg(w))
| status__dfg(v,w,csa) ),
file('KRS215+1.p',unknown),
[] ).
cnf(112,plain,
( ~ status__dfg(u,v,csa)
| status__dfg(u,v,thm) ),
inference(res,[status(thm),theory(equality)],[82,9]),
[iquote('0:Res:82.2,9.0')] ).
cnf(1807,plain,
( ~ model(u,v)
| model(u,w)
| status__dfg(v,w,csa) ),
inference(res,[status(thm),theory(equality)],[18,91]),
[iquote('0:Res:18.1,91.1')] ).
cnf(17778,plain,
( model(u,v)
| status__dfg(skc57,v,csa) ),
inference(res,[status(thm),theory(equality)],[1,1807]),
[iquote('0:Res:1.0,1807.0')] ).
cnf(52153,plain,
status__dfg(skc57,skc61,csa),
inference(res,[status(thm),theory(equality)],[17778,11]),
[iquote('0:Res:17778.0,11.0')] ).
cnf(52294,plain,
status__dfg(skc57,skc61,thm),
inference(res,[status(thm),theory(equality)],[52153,112]),
[iquote('0:Res:52153.0,112.0')] ).
cnf(52975,plain,
( ~ model(u,skc57)
| model(u,skc61) ),
inference(res,[status(thm),theory(equality)],[52294,71]),
[iquote('0:Res:52294.0,71.1')] ).
cnf(52990,plain,
$false,
inference(mrr,[status(thm)],[52975,1,11]),
[iquote('0:MRR:52975.0,52975.1,1.0,11.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : KRS215+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% 0.12/0.12 % Command : run_spass %d %s
% 0.12/0.31 % Computer : n024.cluster.edu
% 0.12/0.31 % Model : x86_64 x86_64
% 0.12/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.31 % Memory : 8042.1875MB
% 0.12/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.31 % CPULimit : 300
% 0.12/0.31 % WCLimit : 600
% 0.12/0.31 % DateTime : Tue Jun 7 17:33:05 EDT 2022
% 0.12/0.32 % CPUTime :
% 20.71/20.88
% 20.71/20.88 SPASS V 3.9
% 20.71/20.88 SPASS beiseite: Proof found.
% 20.71/20.88 % SZS status Theorem
% 20.71/20.88 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 20.71/20.88 SPASS derived 51732 clauses, backtracked 5998 clauses, performed 204 splits and kept 24598 clauses.
% 20.71/20.88 SPASS allocated 111493 KBytes.
% 20.71/20.88 SPASS spent 0:0:20.24 on the problem.
% 20.71/20.88 0:00:00.04 for the input.
% 20.71/20.88 0:00:00.21 for the FLOTTER CNF translation.
% 20.71/20.88 0:00:00.27 for inferences.
% 20.71/20.88 0:00:01.44 for the backtracking.
% 20.71/20.88 0:0:17.56 for the reduction.
% 20.71/20.88
% 20.71/20.88
% 20.71/20.88 Here is a proof with depth 5, length 14 :
% 20.71/20.88 % SZS output start Refutation
% See solution above
% 20.71/20.88 Formulae used in the proof : tautology nota_csa_thm contradiction not__dfg thm nota csa
% 20.71/20.88
%------------------------------------------------------------------------------