TSTP Solution File: GEO059-3 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GEO059-3 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n014.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 06:21:59 EDT 2022
% Result : Unsatisfiable 0.19s 0.45s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 4
% Syntax : Number of clauses : 9 ( 6 unt; 0 nHn; 9 RR)
% Number of literals : 13 ( 0 equ; 6 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-4 aty)
% Number of functors : 9 ( 9 usr; 8 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(7,axiom,
( ~ equidistant(u,v,w,x)
| equidistant(x,w,u,v) ),
file('GEO059-3.p',unknown),
[] ).
cnf(13,axiom,
equidistant(u,reflection(v,u),v,u),
file('GEO059-3.p',unknown),
[] ).
cnf(23,axiom,
~ equidistant(v__dfg,u__dfg,v__dfg,reflection(reflection(u__dfg,v__dfg),v__dfg)),
file('GEO059-3.p',unknown),
[] ).
cnf(25,axiom,
( ~ equidistant(u,v,w,x)
| ~ equidistant(u,v,y,z)
| equidistant(y,z,w,x) ),
file('GEO059-3.p',unknown),
[] ).
cnf(48,plain,
~ equidistant(v__dfg,reflection(reflection(u__dfg,v__dfg),v__dfg),u__dfg,v__dfg),
inference(res,[status(thm),theory(equality)],[7,23]),
[iquote('0:Res:7.1,23.0')] ).
cnf(105,plain,
equidistant(u,v,u,reflection(v,u)),
inference(res,[status(thm),theory(equality)],[13,7]),
[iquote('0:Res:13.0,7.0')] ).
cnf(345,plain,
( ~ equidistant(u,reflection(v,u),w,x)
| equidistant(w,x,v,u) ),
inference(res,[status(thm),theory(equality)],[13,25]),
[iquote('0:Res:13.0,25.0')] ).
cnf(467,plain,
equidistant(u,reflection(reflection(v,u),u),v,u),
inference(res,[status(thm),theory(equality)],[105,345]),
[iquote('0:Res:105.0,345.0')] ).
cnf(477,plain,
$false,
inference(unc,[status(thm)],[467,48]),
[iquote('0:UnC:467.0,48.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GEO059-3 : TPTP v8.1.0. Released v1.0.0.
% 0.11/0.13 % Command : run_spass %d %s
% 0.13/0.34 % Computer : n014.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 : Sat Jun 18 14:17:04 EDT 2022
% 0.13/0.34 % 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/sandbox2/benchmark/theBenchmark.p
% 0.19/0.45 SPASS derived 409 clauses, backtracked 0 clauses, performed 0 splits and kept 145 clauses.
% 0.19/0.45 SPASS allocated 63378 KBytes.
% 0.19/0.45 SPASS spent 0:00:00.10 on the problem.
% 0.19/0.45 0:00:00.04 for the input.
% 0.19/0.45 0:00:00.00 for the FLOTTER CNF translation.
% 0.19/0.45 0:00:00.01 for inferences.
% 0.19/0.45 0:00:00.00 for the backtracking.
% 0.19/0.45 0:00:00.03 for the reduction.
% 0.19/0.45
% 0.19/0.45
% 0.19/0.45 Here is a proof with depth 2, length 9 :
% 0.19/0.45 % SZS output start Refutation
% See solution above
% 0.19/0.45 Formulae used in the proof : d4_4 r2_2 prove_congruence transitivity_for_equidistance
% 0.19/0.45
%------------------------------------------------------------------------------