%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GEO063-3 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n004.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 06:22:00 EDT 2022
% Result : Unsatisfiable 3.76s 3.94s
% Output : Refutation 3.76s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 5
% Syntax : Number of clauses : 10 ( 6 unt; 4 nHn; 10 RR)
% Number of literals : 15 ( 0 equ; 3 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-4 aty)
% Number of functors : 16 ( 16 usr; 14 con; 0-4 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(21,axiom,
( ~ equidistant(u,v,w,x)
| equal(y,z)
| equal(extension(y,z,u,v),extension(y,z,w,x)) ),
file('GEO063-3.p',unknown),
[] ).
cnf(42,axiom,
~ equal(extension(u,v,lower_dimension_point_1,lower_dimension_point_2),v),
file('GEO063-3.p',unknown),
[] ).
cnf(55,axiom,
equidistant(w__dfg,x__dfg,y__dfg,z__dfg),
file('GEO063-3.p',unknown),
[] ).
cnf(56,axiom,
~ equal(insertion(u__dfg,v__dfg,y__dfg,z__dfg),insertion(u__dfg,v__dfg,w__dfg,x__dfg)),
file('GEO063-3.p',unknown),
[] ).
cnf(76,axiom,
equal(extension(extension(u,v,lower_dimension_point_1,lower_dimension_point_2),v,w,x),insertion(v,u,w,x)),
file('GEO063-3.p',unknown),
[] ).
cnf(1668,plain,
( equal(u,v)
| equal(extension(u,v,y__dfg,z__dfg),extension(u,v,w__dfg,x__dfg)) ),
inference(res,[status(thm),theory(equality)],[55,21]),
[iquote('0:Res:55.0,21.0')] ).
cnf(6664,plain,
( equal(extension(u,v,lower_dimension_point_1,lower_dimension_point_2),v)
| equal(extension(extension(u,v,lower_dimension_point_1,lower_dimension_point_2),v,w__dfg,x__dfg),insertion(v,u,y__dfg,z__dfg)) ),
inference(spr,[status(thm),theory(equality)],[1668,76]),
[iquote('0:SpR:1668.1,76.0')] ).
cnf(6694,plain,
( equal(extension(u,v,lower_dimension_point_1,lower_dimension_point_2),v)
| equal(insertion(v,u,y__dfg,z__dfg),insertion(v,u,w__dfg,x__dfg)) ),
inference(rew,[status(thm),theory(equality)],[76,6664]),
[iquote('0:Rew:76.0,6664.1')] ).
cnf(6695,plain,
equal(insertion(u,v,y__dfg,z__dfg),insertion(u,v,w__dfg,x__dfg)),
inference(mrr,[status(thm)],[6694,42]),
[iquote('0:MRR:6694.0,42.0')] ).
cnf(6696,plain,
$false,
inference(unc,[status(thm)],[6695,56]),
[iquote('0:UnC:6695.0,56.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO063-3 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.03/0.13 % Command : run_spass %d %s
% 0.13/0.34 % Computer : n004.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 12:13:53 EDT 2022
% 0.13/0.34 % CPUTime :
% 3.76/3.94
% 3.76/3.94 SPASS V 3.9
% 3.76/3.94 SPASS beiseite: Proof found.
% 3.76/3.94 % SZS status Theorem
% 3.76/3.94 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.76/3.94 SPASS derived 6070 clauses, backtracked 0 clauses, performed 0 splits and kept 2764 clauses.
% 3.76/3.94 SPASS allocated 68664 KBytes.
% 3.76/3.94 SPASS spent 0:00:03.53 on the problem.
% 3.76/3.94 0:00:00.04 for the input.
% 3.76/3.94 0:00:00.00 for the FLOTTER CNF translation.
% 3.76/3.94 0:00:00.07 for inferences.
% 3.76/3.94 0:00:00.00 for the backtracking.
% 3.76/3.94 0:00:03.36 for the reduction.
% 3.76/3.94
% 3.76/3.94
% 3.76/3.94 Here is a proof with depth 2, length 10 :
% 3.76/3.94 % SZS output start Refutation
% See solution above
% 3.76/3.94 Formulae used in the proof : d10_2 e3_1 w_to_x_equals_y_to_z prove_equality_of_insertions insertion
% 3.76/3.94
%------------------------------------------------------------------------------