%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GEO027-3 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n017.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 06:21:41 EDT 2022
% Result : Unsatisfiable 9.23s 9.43s
% Output : Refutation 9.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 6
% Syntax : Number of clauses : 11 ( 6 unt; 3 nHn; 11 RR)
% Number of literals : 23 ( 0 equ; 11 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-4 aty)
% Number of functors : 8 ( 8 usr; 7 con; 0-4 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(19,axiom,
( ~ between(u,v,w)
| ~ between(u,v,x)
| ~ equidistant(v,x,v,w)
| equal(x,w)
| equal(u,v) ),
file('GEO027-3.p',unknown),
[] ).
cnf(20,axiom,
between(u__dfg,v__dfg,w__dfg),
file('GEO027-3.p',unknown),
[] ).
cnf(21,axiom,
~ equal(v__dfg,u__dfg),
file('GEO027-3.p',unknown),
[] ).
cnf(22,axiom,
~ equal(extension(u__dfg,v__dfg,v__dfg,w__dfg),w__dfg),
file('GEO027-3.p',unknown),
[] ).
cnf(26,axiom,
between(u,v,extension(u,v,w,x)),
file('GEO027-3.p',unknown),
[] ).
cnf(27,axiom,
equidistant(u,extension(v,u,w,x),w,x),
file('GEO027-3.p',unknown),
[] ).
cnf(497,plain,
( ~ between(u,v,w)
| ~ between(u,v,extension(x,v,v,w))
| equal(extension(x,v,v,w),w)
| equal(u,v) ),
inference(res,[status(thm),theory(equality)],[27,19]),
[iquote('0:Res:27.0,19.2')] ).
cnf(2036,plain,
( ~ between(u,v,w)
| equal(extension(u,v,v,w),w)
| equal(u,v) ),
inference(res,[status(thm),theory(equality)],[26,497]),
[iquote('0:Res:26.0,497.1')] ).
cnf(7739,plain,
( ~ between(u__dfg,v__dfg,w__dfg)
| ~ equal(w__dfg,w__dfg)
| equal(v__dfg,u__dfg) ),
inference(spl,[status(thm),theory(equality)],[2036,22]),
[iquote('0:SpL:2036.1,22.0')] ).
cnf(7764,plain,
( ~ between(u__dfg,v__dfg,w__dfg)
| equal(v__dfg,u__dfg) ),
inference(obv,[status(thm),theory(equality)],[7739]),
[iquote('0:Obv:7739.1')] ).
cnf(7765,plain,
$false,
inference(mrr,[status(thm)],[7764,20,21]),
[iquote('0:MRR:7764.0,7764.1,20.0,21.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO027-3 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13 % Command : run_spass %d %s
% 0.13/0.34 % Computer : n017.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 00:59:27 EDT 2022
% 0.13/0.34 % CPUTime :
% 9.23/9.43
% 9.23/9.43 SPASS V 3.9
% 9.23/9.43 SPASS beiseite: Proof found.
% 9.23/9.43 % SZS status Theorem
% 9.23/9.43 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 9.23/9.43 SPASS derived 6799 clauses, backtracked 0 clauses, performed 0 splits and kept 2898 clauses.
% 9.23/9.43 SPASS allocated 71454 KBytes.
% 9.23/9.43 SPASS spent 0:00:08.90 on the problem.
% 9.23/9.43 0:00:00.04 for the input.
% 9.23/9.43 0:00:00.00 for the FLOTTER CNF translation.
% 9.23/9.43 0:00:00.11 for inferences.
% 9.23/9.43 0:00:00.00 for the backtracking.
% 9.23/9.43 0:00:08.70 for the reduction.
% 9.23/9.43
% 9.23/9.43
% 9.23/9.43 Here is a proof with depth 3, length 11 :
% 9.23/9.43 % SZS output start Refutation
% See solution above
% 9.23/9.43 Formulae used in the proof : d9 v_between_u_and_w u_not_v prove_w_is_an_extension segment_construction1 segment_construction2
% 9.23/9.43
%------------------------------------------------------------------------------