%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GEO057-2 : 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 06:21:57 EDT 2022
% Result : Unsatisfiable 0.21s 0.43s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 4
% Syntax : Number of clauses : 7 ( 6 unt; 0 nHn; 7 RR)
% Number of literals : 8 ( 0 equ; 3 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-4 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-4 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
~ equal(reflection(u__dfg,u__dfg),u__dfg),
file('GEO057-2.p',unknown),
[] ).
cnf(4,axiom,
( ~ equidistant(u,v,w,w)
| equal(u,v) ),
file('GEO057-2.p',unknown),
[] ).
cnf(6,axiom,
equidistant(u,extension(v,u,w,x),w,x),
file('GEO057-2.p',unknown),
[] ).
cnf(20,axiom,
equal(extension(u,v,u,v),reflection(u,v)),
file('GEO057-2.p',unknown),
[] ).
cnf(32,plain,
~ equidistant(u__dfg,reflection(u__dfg,u__dfg),u,u),
inference(res,[status(thm),theory(equality)],[4,1]),
[iquote('0:Res:4.1,1.0')] ).
cnf(38,plain,
equidistant(u,reflection(v,u),v,u),
inference(spr,[status(thm),theory(equality)],[20,6]),
[iquote('0:SpR:20.0,6.0')] ).
cnf(40,plain,
$false,
inference(unc,[status(thm)],[38,32]),
[iquote('0:UnC:38.0,32.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO057-2 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.13 % Command : run_spass %d %s
% 0.14/0.34 % Computer : n014.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 : Sat Jun 18 05:06:34 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.21/0.43
% 0.21/0.43 SPASS V 3.9
% 0.21/0.43 SPASS beiseite: Proof found.
% 0.21/0.43 % SZS status Theorem
% 0.21/0.43 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.43 SPASS derived 13 clauses, backtracked 0 clauses, performed 0 splits and kept 31 clauses.
% 0.21/0.43 SPASS allocated 63132 KBytes.
% 0.21/0.43 SPASS spent 0:00:00.07 on the problem.
% 0.21/0.43 0:00:00.04 for the input.
% 0.21/0.43 0:00:00.00 for the FLOTTER CNF translation.
% 0.21/0.43 0:00:00.00 for inferences.
% 0.21/0.43 0:00:00.00 for the backtracking.
% 0.21/0.43 0:00:00.00 for the reduction.
% 0.21/0.43
% 0.21/0.43
% 0.21/0.43 Here is a proof with depth 1, length 7 :
% 0.21/0.43 % SZS output start Refutation
% See solution above
% 0.21/0.43 Formulae used in the proof : prove_null_extension_by_reflection identity_for_equidistance segment_construction2 reflection
% 0.21/0.43
%------------------------------------------------------------------------------