TSTP Solution File: KRS259+1 by SPASS---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : KRS259+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n023.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 03:31:00 EDT 2022
% Result : Theorem 1.61s 1.80s
% Output : Refutation 1.61s
% 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 : 11 ( 11 usr; 9 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
model(u,skc57),
file('KRS259+1.p',unknown),
[] ).
cnf(8,axiom,
model(skc75,skc72),
file('KRS259+1.p',unknown),
[] ).
cnf(9,axiom,
~ mighta(tac,thm),
file('KRS259+1.p',unknown),
[] ).
cnf(50,axiom,
( ~ model(skf61(u,v),u)
| status__dfg(w,u,thm) ),
file('KRS259+1.p',unknown),
[] ).
cnf(89,axiom,
( ~ model(u,v)
| ~ model(skf64(w),w)
| status__dfg(v,w,tac) ),
file('KRS259+1.p',unknown),
[] ).
cnf(92,axiom,
( ~ status__dfg(u,v,w)
| ~ status__dfg(u,v,x)
| mighta(x,w) ),
file('KRS259+1.p',unknown),
[] ).
cnf(112,plain,
( ~ status__dfg(u,v,thm)
| ~ status__dfg(u,v,tac) ),
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(1593,plain,
( ~ model(u,v)
| status__dfg(v,skc57,tac) ),
inference(res,[status(thm),theory(equality)],[1,89]),
[iquote('0:Res:1.0,89.1')] ).
cnf(6830,plain,
status__dfg(skc72,skc57,tac),
inference(res,[status(thm),theory(equality)],[8,1593]),
[iquote('0:Res:8.0,1593.0')] ).
cnf(7499,plain,
~ status__dfg(skc72,skc57,thm),
inference(res,[status(thm),theory(equality)],[6830,112]),
[iquote('0:Res:6830.0,112.1')] ).
cnf(7507,plain,
$false,
inference(mrr,[status(thm)],[7499,334]),
[iquote('0:MRR:7499.0,334.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : KRS259+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% 0.03/0.13 % Command : run_spass %d %s
% 0.13/0.34 % Computer : n023.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 : Tue Jun 7 15:20:23 EDT 2022
% 0.13/0.34 % CPUTime :
% 1.61/1.80
% 1.61/1.80 SPASS V 3.9
% 1.61/1.80 SPASS beiseite: Proof found.
% 1.61/1.80 % SZS status Theorem
% 1.61/1.80 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.61/1.80 SPASS derived 7256 clauses, backtracked 48 clauses, performed 31 splits and kept 3739 clauses.
% 1.61/1.80 SPASS allocated 89518 KBytes.
% 1.61/1.80 SPASS spent 0:00:01.41 on the problem.
% 1.61/1.80 0:00:00.04 for the input.
% 1.61/1.80 0:00:00.20 for the FLOTTER CNF translation.
% 1.61/1.80 0:00:00.04 for inferences.
% 1.61/1.80 0:00:00.01 for the backtracking.
% 1.61/1.80 0:00:01.07 for the reduction.
% 1.61/1.80
% 1.61/1.80
% 1.61/1.80 Here is a proof with depth 3, length 12 :
% 1.61/1.80 % SZS output start Refutation
% See solution above
% 1.61/1.80 Formulae used in the proof : tautology non_thm_spt mighta_tac_thm thm tac mighta
% 1.61/1.80
%------------------------------------------------------------------------------