TSTP Solution File: KRS187+1 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : KRS187+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n029.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 03:30:50 EDT 2022
% Result : Theorem 0.46s 0.69s
% Output : Refutation 0.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 5
% Syntax : Number of clauses : 10 ( 6 unt; 1 nHn; 10 RR)
% Number of literals : 14 ( 0 equ; 5 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(9,axiom,
~ isa(tac,thm),
file('KRS187+1.p',unknown),
[] ).
cnf(24,axiom,
( ~ status__dfg(u,v,tac)
| model(w,v) ),
file('KRS187+1.p',unknown),
[] ).
cnf(50,axiom,
( ~ model(skf61(u,v),u)
| status__dfg(w,u,thm) ),
file('KRS187+1.p',unknown),
[] ).
cnf(65,axiom,
( isa(u,v)
| status__dfg(skf97(v,u),skf96(v,u),u) ),
file('KRS187+1.p',unknown),
[] ).
cnf(81,axiom,
( ~ status__dfg(skf97(u,v),skf96(u,v),u)
| isa(w,u) ),
file('KRS187+1.p',unknown),
[] ).
cnf(112,plain,
status__dfg(skf97(thm,tac),skf96(thm,tac),tac),
inference(res,[status(thm),theory(equality)],[65,9]),
[iquote('0:Res:65.1,9.0')] ).
cnf(113,plain,
~ status__dfg(skf97(thm,u),skf96(thm,u),thm),
inference(res,[status(thm),theory(equality)],[81,9]),
[iquote('0:Res:81.1,9.0')] ).
cnf(144,plain,
model(u,skf96(thm,tac)),
inference(res,[status(thm),theory(equality)],[112,24]),
[iquote('0:Res:112.0,24.0')] ).
cnf(351,plain,
status__dfg(u,skf96(thm,tac),thm),
inference(res,[status(thm),theory(equality)],[144,50]),
[iquote('0:Res:144.0,50.0')] ).
cnf(354,plain,
$false,
inference(unc,[status(thm)],[351,113]),
[iquote('0:UnC:351.0,113.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : KRS187+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% 0.07/0.13 % Command : run_spass %d %s
% 0.13/0.34 % Computer : n029.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 14:11:50 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.46/0.69
% 0.46/0.69 SPASS V 3.9
% 0.46/0.69 SPASS beiseite: Proof found.
% 0.46/0.69 % SZS status Theorem
% 0.46/0.69 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.46/0.69 SPASS derived 242 clauses, backtracked 0 clauses, performed 0 splits and kept 274 clauses.
% 0.46/0.69 SPASS allocated 87718 KBytes.
% 0.46/0.69 SPASS spent 0:00:00.33 on the problem.
% 0.46/0.69 0:00:00.04 for the input.
% 0.46/0.69 0:00:00.22 for the FLOTTER CNF translation.
% 0.46/0.69 0:00:00.00 for inferences.
% 0.46/0.69 0:00:00.00 for the backtracking.
% 0.46/0.69 0:00:00.04 for the reduction.
% 0.46/0.69
% 0.46/0.69
% 0.46/0.69 Here is a proof with depth 3, length 10 :
% 0.46/0.69 % SZS output start Refutation
% See solution above
% 0.46/0.69 Formulae used in the proof : isa_tac_thm tac thm isa
% 0.46/0.69
%------------------------------------------------------------------------------