TSTP Solution File: GEO003-3 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GEO003-3 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n010.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 : Sat Jul 16 06:21:27 EDT 2022
% Result : Unsatisfiable 0.22s 0.43s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 3
% Syntax : Number of clauses : 5 ( 4 unt; 0 nHn; 5 RR)
% Number of literals : 6 ( 0 equ; 3 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 7 con; 0-4 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(10,axiom,
equal(extension(u,v,w,w),v),
file('GEO003-3.p',unknown),
[] ).
cnf(11,axiom,
( ~ equal(u,extension(v,w,x,y))
| between(v,w,u) ),
file('GEO003-3.p',unknown),
[] ).
cnf(25,axiom,
~ between(a,b,b),
file('GEO003-3.p',unknown),
[] ).
cnf(48,plain,
~ equal(extension(a,b,u,v),b),
inference(res,[status(thm),theory(equality)],[11,25]),
[iquote('0:Res:11.1,25.0')] ).
cnf(51,plain,
$false,
inference(unc,[status(thm)],[48,10]),
[iquote('0:UnC:48.0,10.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : GEO003-3 : TPTP v8.1.0. Released v1.0.0.
% 0.08/0.14 % Command : run_spass %d %s
% 0.14/0.35 % Computer : n010.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 : Sat Jun 18 11:33:08 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.22/0.43
% 0.22/0.43 SPASS V 3.9
% 0.22/0.43 SPASS beiseite: Proof found.
% 0.22/0.43 % SZS status Theorem
% 0.22/0.43 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.22/0.43 SPASS derived 4 clauses, backtracked 0 clauses, performed 0 splits and kept 44 clauses.
% 0.22/0.43 SPASS allocated 63147 KBytes.
% 0.22/0.43 SPASS spent 0:00:00.06 on the problem.
% 0.22/0.43 0:00:00.04 for the input.
% 0.22/0.43 0:00:00.00 for the FLOTTER CNF translation.
% 0.22/0.43 0:00:00.00 for inferences.
% 0.22/0.43 0:00:00.00 for the backtracking.
% 0.22/0.43 0:00:00.00 for the reduction.
% 0.22/0.43
% 0.22/0.43
% 0.22/0.43 Here is a proof with depth 1, length 5 :
% 0.22/0.43 % SZS output start Refutation
% See solution above
% 0.22/0.43 Formulae used in the proof : e1 b0 prove_b_between_a_and_b
% 0.22/0.43
%------------------------------------------------------------------------------