TSTP Solution File: KRS258+1 by SPASS---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : KRS258+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 03:30:59 EDT 2022
% Result : Theorem 2.11s 2.28s
% Output : Refutation 2.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 6
% Syntax : Number of clauses : 13 ( 6 unt; 2 nHn; 13 RR)
% Number of literals : 22 ( 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; 7 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
model(u,skc57),
file('KRS258+1.p',unknown),
[] ).
cnf(9,axiom,
~ mighta(eqv,thm),
file('KRS258+1.p',unknown),
[] ).
cnf(32,axiom,
( model(skf61(u,v),v)
| status__dfg(v,u,thm) ),
file('KRS258+1.p',unknown),
[] ).
cnf(50,axiom,
( ~ model(skf61(u,v),u)
| status__dfg(w,u,thm) ),
file('KRS258+1.p',unknown),
[] ).
cnf(92,axiom,
( ~ status__dfg(u,v,w)
| ~ status__dfg(u,v,x)
| mighta(x,w) ),
file('KRS258+1.p',unknown),
[] ).
cnf(100,axiom,
( ~ model(skf62(u,v),u)
| ~ model(skf62(u,v),v)
| status__dfg(v,u,eqv) ),
file('KRS258+1.p',unknown),
[] ).
cnf(112,plain,
( ~ status__dfg(u,v,thm)
| ~ status__dfg(u,v,eqv) ),
inference(res,[status(thm),theory(equality)],[92,9]),
[iquote('0:Res:92.2,9.0')] ).
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(3305,plain,
( ~ model(skf62(skc57,u),u)
| status__dfg(u,skc57,eqv) ),
inference(res,[status(thm),theory(equality)],[1,100]),
[iquote('0:Res:1.0,100.0')] ).
cnf(10659,plain,
status__dfg(skc57,skc57,eqv),
inference(res,[status(thm),theory(equality)],[1,3305]),
[iquote('0:Res:1.0,3305.0')] ).
cnf(10698,plain,
~ status__dfg(skc57,skc57,thm),
inference(res,[status(thm),theory(equality)],[10659,112]),
[iquote('0:Res:10659.0,112.1')] ).
cnf(10707,plain,
$false,
inference(mrr,[status(thm)],[10698,342]),
[iquote('0:MRR:10698.0,342.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : KRS258+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% 0.07/0.12 % Command : run_spass %d %s
% 0.13/0.33 % Computer : n023.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 07:15:23 EDT 2022
% 0.13/0.33 % CPUTime :
% 2.11/2.28
% 2.11/2.28 SPASS V 3.9
% 2.11/2.28 SPASS beiseite: Proof found.
% 2.11/2.28 % SZS status Theorem
% 2.11/2.28 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.11/2.28 SPASS derived 10423 clauses, backtracked 60 clauses, performed 47 splits and kept 5074 clauses.
% 2.11/2.28 SPASS allocated 91497 KBytes.
% 2.11/2.28 SPASS spent 0:00:01.89 on the problem.
% 2.11/2.28 0:00:00.04 for the input.
% 2.11/2.28 0:00:00.20 for the FLOTTER CNF translation.
% 2.11/2.28 0:00:00.06 for inferences.
% 2.11/2.28 0:00:00.02 for the backtracking.
% 2.11/2.28 0:00:01.51 for the reduction.
% 2.11/2.28
% 2.11/2.28
% 2.11/2.28 Here is a proof with depth 3, length 13 :
% 2.11/2.28 % SZS output start Refutation
% See solution above
% 2.11/2.28 Formulae used in the proof : tautology mighta_eqv_thm thm mighta eqv
% 2.11/2.28
%------------------------------------------------------------------------------