TSTP Solution File: GEO017-3 by SPASS---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GEO017-3 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n021.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 06:21:36 EDT 2022
% Result : Unsatisfiable 0.20s 0.42s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 4
% Syntax : Number of clauses : 8 ( 6 unt; 0 nHn; 8 RR)
% Number of literals : 10 ( 0 equ; 4 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-4 aty)
% Number of functors : 8 ( 8 usr; 8 con; 0-0 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(2,axiom,
( ~ equidistant(u,v,w,x)
| equidistant(w,x,u,v) ),
file('GEO017-3.p',unknown),
[] ).
cnf(3,axiom,
( ~ equidistant(u,v,w,x)
| equidistant(v,u,w,x) ),
file('GEO017-3.p',unknown),
[] ).
cnf(4,axiom,
equidistant(u__dfg,v__dfg,w__dfg,x__dfg),
file('GEO017-3.p',unknown),
[] ).
cnf(5,axiom,
~ equidistant(u__dfg,v__dfg,x__dfg,w__dfg),
file('GEO017-3.p',unknown),
[] ).
cnf(25,plain,
~ equidistant(x__dfg,w__dfg,u__dfg,v__dfg),
inference(res,[status(thm),theory(equality)],[2,5]),
[iquote('0:Res:2.1,5.0')] ).
cnf(45,plain,
equidistant(w__dfg,x__dfg,u__dfg,v__dfg),
inference(res,[status(thm),theory(equality)],[4,2]),
[iquote('0:Res:4.0,2.0')] ).
cnf(53,plain,
equidistant(x__dfg,w__dfg,u__dfg,v__dfg),
inference(res,[status(thm),theory(equality)],[45,3]),
[iquote('0:Res:45.0,3.0')] ).
cnf(54,plain,
$false,
inference(mrr,[status(thm)],[53,25]),
[iquote('0:MRR:53.0,25.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO017-3 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13 % Command : run_spass %d %s
% 0.14/0.34 % Computer : n021.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Fri Jun 17 22:59:31 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.20/0.42
% 0.20/0.42 SPASS V 3.9
% 0.20/0.42 SPASS beiseite: Proof found.
% 0.20/0.42 % SZS status Theorem
% 0.20/0.42 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.42 SPASS derived 30 clauses, backtracked 0 clauses, performed 0 splits and kept 37 clauses.
% 0.20/0.42 SPASS allocated 63139 KBytes.
% 0.20/0.42 SPASS spent 0:00:00.07 on the problem.
% 0.20/0.42 0:00:00.04 for the input.
% 0.20/0.42 0:00:00.00 for the FLOTTER CNF translation.
% 0.20/0.42 0:00:00.00 for inferences.
% 0.20/0.42 0:00:00.00 for the backtracking.
% 0.20/0.42 0:00:00.00 for the reduction.
% 0.20/0.42
% 0.20/0.42
% 0.20/0.42 Here is a proof with depth 2, length 8 :
% 0.20/0.42 % SZS output start Refutation
% See solution above
% 0.20/0.42 Formulae used in the proof : d2 d3 u_to_v_equals_w_to_x prove_symmetry
% 0.20/0.42
%------------------------------------------------------------------------------