TSTP Solution File: KRS257+1 by SPASS---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : KRS257+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n020.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 0.55s 0.77s
% Output : Refutation 0.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 6
% Syntax : Number of clauses : 12 ( 7 unt; 0 nHn; 12 RR)
% Number of literals : 19 ( 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 : 10 ( 10 usr; 9 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
model(u,skc57),
file('KRS257+1.p',unknown),
[] ).
cnf(8,axiom,
model(skc75,skc72),
file('KRS257+1.p',unknown),
[] ).
cnf(9,axiom,
~ mighta(sat,thm),
file('KRS257+1.p',unknown),
[] ).
cnf(50,axiom,
( ~ model(skf61(u,v),u)
| status__dfg(w,u,thm) ),
file('KRS257+1.p',unknown),
[] ).
cnf(70,axiom,
( ~ model(u,v)
| ~ model(u,w)
| status__dfg(w,v,sat) ),
file('KRS257+1.p',unknown),
[] ).
cnf(92,axiom,
( ~ status__dfg(u,v,w)
| ~ status__dfg(u,v,x)
| mighta(x,w) ),
file('KRS257+1.p',unknown),
[] ).
cnf(112,plain,
( ~ status__dfg(u,v,thm)
| ~ status__dfg(u,v,sat) ),
inference(res,[status(thm),theory(equality)],[92,9]),
[iquote('0:Res:92.2,9.0')] ).
cnf(334,plain,
status__dfg(u,skc57,thm),
inference(res,[status(thm),theory(equality)],[1,50]),
[iquote('0:Res:1.0,50.0')] ).
cnf(760,plain,
( ~ model(u,v)
| status__dfg(v,skc57,sat) ),
inference(res,[status(thm),theory(equality)],[1,70]),
[iquote('0:Res:1.0,70.0')] ).
cnf(1317,plain,
status__dfg(skc72,skc57,sat),
inference(res,[status(thm),theory(equality)],[8,760]),
[iquote('0:Res:8.0,760.0')] ).
cnf(1387,plain,
~ status__dfg(skc72,skc57,thm),
inference(res,[status(thm),theory(equality)],[1317,112]),
[iquote('0:Res:1317.0,112.1')] ).
cnf(1392,plain,
$false,
inference(mrr,[status(thm)],[1387,334]),
[iquote('0:MRR:1387.0,334.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : KRS257+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% 0.07/0.12 % Command : run_spass %d %s
% 0.13/0.33 % Computer : n020.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Tue Jun 7 09:52:06 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.55/0.77
% 0.55/0.77 SPASS V 3.9
% 0.55/0.77 SPASS beiseite: Proof found.
% 0.55/0.77 % SZS status Theorem
% 0.55/0.77 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.55/0.77 SPASS derived 1259 clauses, backtracked 13 clauses, performed 9 splits and kept 1056 clauses.
% 0.55/0.77 SPASS allocated 87719 KBytes.
% 0.55/0.77 SPASS spent 0:00:00.42 on the problem.
% 0.55/0.77 0:00:00.03 for the input.
% 0.55/0.77 0:00:00.19 for the FLOTTER CNF translation.
% 0.55/0.77 0:00:00.01 for inferences.
% 0.55/0.77 0:00:00.00 for the backtracking.
% 0.55/0.77 0:00:00.15 for the reduction.
% 0.55/0.77
% 0.55/0.77
% 0.55/0.77 Here is a proof with depth 3, length 12 :
% 0.55/0.77 % SZS output start Refutation
% See solution above
% 0.55/0.77 Formulae used in the proof : tautology non_thm_spt mighta_sat_thm thm sat mighta
% 0.55/0.77
%------------------------------------------------------------------------------