TSTP Solution File: KRS180+1 by SPASS---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : KRS180+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n027.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 03:30:49 EDT 2022
% Result : Theorem 0.20s 0.49s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 7
% Syntax : Number of clauses : 17 ( 8 unt; 2 nHn; 17 RR)
% Number of literals : 30 ( 0 equ; 18 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 5 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(1,axiom,
isa(skc21,skc22),
file('KRS180+1.p',unknown),
[] ).
cnf(10,axiom,
status__dfg(u,v,skc21),
file('KRS180+1.p',unknown),
[] ).
cnf(22,axiom,
( xora(skc21,skc22)
| nevera(skc21,skc22)
| nota(skc21,skc22) ),
file('KRS180+1.p',unknown),
[] ).
cnf(35,axiom,
( ~ isa(u,v)
| ~ status__dfg(w,x,u)
| status__dfg(w,x,v) ),
file('KRS180+1.p',unknown),
[] ).
cnf(36,axiom,
( ~ nota(u,v)
| ~ status__dfg(skf15(v,w),skf14(v,w),v) ),
file('KRS180+1.p',unknown),
[] ).
cnf(37,axiom,
( ~ nevera(u,v)
| ~ status__dfg(w,x,v)
| ~ status__dfg(w,x,u) ),
file('KRS180+1.p',unknown),
[] ).
cnf(38,axiom,
( ~ xora(u,v)
| ~ status__dfg(w,x,v)
| ~ status__dfg(w,x,u) ),
file('KRS180+1.p',unknown),
[] ).
cnf(41,plain,
( ~ status__dfg(u,v,skc21)
| status__dfg(u,v,skc22) ),
inference(res,[status(thm),theory(equality)],[1,35]),
[iquote('0:Res:1.0,35.0')] ).
cnf(42,plain,
( ~ xora(skc21,u)
| ~ status__dfg(v,w,u) ),
inference(res,[status(thm),theory(equality)],[10,38]),
[iquote('0:Res:10.0,38.0')] ).
cnf(49,plain,
( ~ nevera(skc21,u)
| ~ status__dfg(v,w,u) ),
inference(res,[status(thm),theory(equality)],[10,37]),
[iquote('0:Res:10.0,37.1')] ).
cnf(54,plain,
status__dfg(u,v,skc22),
inference(mrr,[status(thm)],[41,10]),
[iquote('0:MRR:41.0,10.0')] ).
cnf(77,plain,
~ nevera(skc21,skc22),
inference(res,[status(thm),theory(equality)],[54,49]),
[iquote('0:Res:54.0,49.1')] ).
cnf(80,plain,
( xora(skc21,skc22)
| nota(skc21,skc22) ),
inference(mrr,[status(thm)],[22,77]),
[iquote('0:MRR:22.1,77.0')] ).
cnf(102,plain,
~ xora(skc21,skc22),
inference(res,[status(thm),theory(equality)],[54,42]),
[iquote('0:Res:54.0,42.1')] ).
cnf(108,plain,
nota(skc21,skc22),
inference(mrr,[status(thm)],[80,102]),
[iquote('0:MRR:80.0,102.0')] ).
cnf(266,plain,
~ nota(u,skc22),
inference(res,[status(thm),theory(equality)],[54,36]),
[iquote('0:Res:54.0,36.1')] ).
cnf(271,plain,
$false,
inference(unc,[status(thm)],[266,108]),
[iquote('0:UnC:266.0,108.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : KRS180+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% 0.08/0.14 % Command : run_spass %d %s
% 0.14/0.35 % Computer : n027.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Tue Jun 7 11:32:55 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.20/0.49
% 0.20/0.49 SPASS V 3.9
% 0.20/0.49 SPASS beiseite: Proof found.
% 0.20/0.49 % SZS status Theorem
% 0.20/0.49 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.49 SPASS derived 224 clauses, backtracked 0 clauses, performed 0 splits and kept 126 clauses.
% 0.20/0.49 SPASS allocated 85692 KBytes.
% 0.20/0.49 SPASS spent 0:00:00.12 on the problem.
% 0.20/0.49 0:00:00.04 for the input.
% 0.20/0.49 0:00:00.05 for the FLOTTER CNF translation.
% 0.20/0.49 0:00:00.00 for inferences.
% 0.20/0.49 0:00:00.00 for the backtracking.
% 0.20/0.49 0:00:00.01 for the reduction.
% 0.20/0.49
% 0.20/0.49
% 0.20/0.49 Here is a proof with depth 2, length 17 :
% 0.20/0.49 % SZS output start Refutation
% See solution above
% 0.20/0.49 Formulae used in the proof : isa_exclusive isa nota nevera xora
% 0.20/0.49
%------------------------------------------------------------------------------