%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : KRS181+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n022.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 0.19s 0.45s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 7
% Syntax : Number of clauses : 14 ( 7 unt; 1 nHn; 14 RR)
% Number of literals : 23 ( 0 equ; 12 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,
isa(skc24,skc22),
file('KRS181+1.p',unknown),
[] ).
cnf(2,axiom,
nota(skc24,skc23),
file('KRS181+1.p',unknown),
[] ).
cnf(11,axiom,
~ nota(skc22,skc23),
file('KRS181+1.p',unknown),
[] ).
cnf(31,axiom,
( ~ status__dfg(u,v,w)
| nota(w,x)
| status__dfg(u,v,x) ),
file('KRS181+1.p',unknown),
[] ).
cnf(32,axiom,
( ~ nota(u,v)
| status__dfg(skf15(v,u),skf14(v,u),u) ),
file('KRS181+1.p',unknown),
[] ).
cnf(35,axiom,
( ~ isa(u,v)
| ~ status__dfg(w,x,u)
| status__dfg(w,x,v) ),
file('KRS181+1.p',unknown),
[] ).
cnf(36,axiom,
( ~ nota(u,v)
| ~ status__dfg(skf15(v,w),skf14(v,w),v) ),
file('KRS181+1.p',unknown),
[] ).
cnf(41,plain,
status__dfg(skf15(skc23,skc24),skf14(skc23,skc24),skc24),
inference(res,[status(thm),theory(equality)],[2,32]),
[iquote('0:Res:2.0,32.0')] ).
cnf(42,plain,
~ status__dfg(skf15(skc23,u),skf14(skc23,u),skc23),
inference(res,[status(thm),theory(equality)],[2,36]),
[iquote('0:Res:2.0,36.1')] ).
cnf(43,plain,
( ~ status__dfg(u,v,skc24)
| status__dfg(u,v,skc22) ),
inference(res,[status(thm),theory(equality)],[1,35]),
[iquote('0:Res:1.0,35.0')] ).
cnf(44,plain,
( ~ status__dfg(u,v,skc22)
| status__dfg(u,v,skc23) ),
inference(res,[status(thm),theory(equality)],[31,11]),
[iquote('0:Res:31.2,11.0')] ).
cnf(51,plain,
( ~ status__dfg(u,v,skc24)
| status__dfg(u,v,skc23) ),
inference(res,[status(thm),theory(equality)],[43,44]),
[iquote('0:Res:43.1,44.0')] ).
cnf(53,plain,
~ status__dfg(skf15(skc23,u),skf14(skc23,u),skc24),
inference(res,[status(thm),theory(equality)],[51,42]),
[iquote('0:Res:51.1,42.0')] ).
cnf(54,plain,
$false,
inference(unc,[status(thm)],[53,41]),
[iquote('0:UnC:53.0,41.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.11 % Problem : KRS181+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% 0.04/0.12 % Command : run_spass %d %s
% 0.12/0.33 % Computer : n022.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Tue Jun 7 07:18:20 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.45
% 0.19/0.45 SPASS V 3.9
% 0.19/0.45 SPASS beiseite: Proof found.
% 0.19/0.45 % SZS status Theorem
% 0.19/0.45 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.45 SPASS derived 13 clauses, backtracked 0 clauses, performed 0 splits and kept 48 clauses.
% 0.19/0.45 SPASS allocated 85683 KBytes.
% 0.19/0.45 SPASS spent 0:00:00.11 on the problem.
% 0.19/0.45 0:00:00.03 for the input.
% 0.19/0.45 0:00:00.05 for the FLOTTER CNF translation.
% 0.19/0.45 0:00:00.00 for inferences.
% 0.19/0.45 0:00:00.00 for the backtracking.
% 0.19/0.45 0:00:00.00 for the reduction.
% 0.19/0.45
% 0.19/0.45
% 0.19/0.45 Here is a proof with depth 3, length 14 :
% 0.19/0.45 % SZS output start Refutation
% See solution above
% 0.19/0.45 Formulae used in the proof : nota_isa_nota nota isa
% 0.19/0.45
%------------------------------------------------------------------------------