TSTP Solution File: KRS254+1 by SPASS---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : KRS254+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n029.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 03:30:59 EDT 2022
% Result : Theorem 0.49s 0.68s
% Output : Refutation 0.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 6
% Syntax : Number of clauses : 13 ( 5 unt; 4 nHn; 13 RR)
% Number of literals : 22 ( 0 equ; 8 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 : 8 ( 8 usr; 6 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(9,axiom,
~ mighta(unp,thm),
file('KRS254+1.p',unknown),
[] ).
cnf(20,axiom,
( ~ model(u,v)
| status__dfg(v,w,unp) ),
file('KRS254+1.p',unknown),
[] ).
cnf(21,axiom,
( model(skf52(u),u)
| status__dfg(v,u,unp) ),
file('KRS254+1.p',unknown),
[] ).
cnf(32,axiom,
( model(skf61(u,v),v)
| status__dfg(v,u,thm) ),
file('KRS254+1.p',unknown),
[] ).
cnf(50,axiom,
( ~ model(skf61(u,v),u)
| status__dfg(w,u,thm) ),
file('KRS254+1.p',unknown),
[] ).
cnf(92,axiom,
( ~ status__dfg(u,v,w)
| ~ status__dfg(u,v,x)
| mighta(x,w) ),
file('KRS254+1.p',unknown),
[] ).
cnf(112,plain,
( ~ status__dfg(u,v,thm)
| ~ status__dfg(u,v,unp) ),
inference(res,[status(thm),theory(equality)],[92,9]),
[iquote('0:Res:92.2,9.0')] ).
cnf(142,plain,
( status__dfg(u,v,unp)
| status__dfg(v,w,unp) ),
inference(res,[status(thm),theory(equality)],[21,20]),
[iquote('0:Res:21.0,20.0')] ).
cnf(152,plain,
status__dfg(u,u,unp),
inference(fac,[status(thm)],[142]),
[iquote('0:Fac:142.0,142.1')] ).
cnf(341,plain,
( status__dfg(u,u,thm)
| status__dfg(v,u,thm) ),
inference(res,[status(thm),theory(equality)],[32,50]),
[iquote('0:Res:32.0,50.0')] ).
cnf(342,plain,
status__dfg(u,u,thm),
inference(con,[status(thm)],[341]),
[iquote('0:Con:341.1')] ).
cnf(361,plain,
~ status__dfg(u,u,thm),
inference(res,[status(thm),theory(equality)],[152,112]),
[iquote('0:Res:152.0,112.1')] ).
cnf(382,plain,
$false,
inference(mrr,[status(thm)],[361,342]),
[iquote('0:MRR:361.0,342.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : KRS254+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% 0.08/0.15 % Command : run_spass %d %s
% 0.14/0.37 % Computer : n029.cluster.edu
% 0.14/0.37 % Model : x86_64 x86_64
% 0.14/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.37 % Memory : 8042.1875MB
% 0.14/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.37 % CPULimit : 300
% 0.14/0.37 % WCLimit : 600
% 0.14/0.37 % DateTime : Tue Jun 7 14:46:05 EDT 2022
% 0.14/0.37 % CPUTime :
% 0.49/0.68
% 0.49/0.68 SPASS V 3.9
% 0.49/0.68 SPASS beiseite: Proof found.
% 0.49/0.68 % SZS status Theorem
% 0.49/0.68 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.49/0.68 SPASS derived 260 clauses, backtracked 0 clauses, performed 1 splits and kept 292 clauses.
% 0.49/0.68 SPASS allocated 87719 KBytes.
% 0.49/0.68 SPASS spent 0:00:00.29 on the problem.
% 0.49/0.68 0:00:00.03 for the input.
% 0.49/0.68 0:00:00.20 for the FLOTTER CNF translation.
% 0.49/0.68 0:00:00.00 for inferences.
% 0.49/0.68 0:00:00.00 for the backtracking.
% 0.49/0.68 0:00:00.02 for the reduction.
% 0.49/0.68
% 0.49/0.68
% 0.49/0.68 Here is a proof with depth 3, length 13 :
% 0.49/0.68 % SZS output start Refutation
% See solution above
% 0.49/0.68 Formulae used in the proof : mighta_unp_thm unp thm mighta
% 0.49/0.68
%------------------------------------------------------------------------------