%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GEO041-3 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n026.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 06:21:49 EDT 2022
% Result : Unsatisfiable 0.19s 0.43s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 5
% Syntax : Number of clauses : 10 ( 7 unt; 0 nHn; 10 RR)
% Number of literals : 14 ( 0 equ; 7 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 6 con; 0-0 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(27,axiom,
( ~ between(u,v,w)
| between(w,v,u) ),
file('GEO041-3.p',unknown),
[] ).
cnf(29,axiom,
( ~ between(u,v,w)
| ~ between(v,u,w)
| equal(v,u) ),
file('GEO041-3.p',unknown),
[] ).
cnf(30,axiom,
between(u__dfg,v__dfg,w__dfg),
file('GEO041-3.p',unknown),
[] ).
cnf(31,axiom,
between(u__dfg,w__dfg,v__dfg),
file('GEO041-3.p',unknown),
[] ).
cnf(32,axiom,
~ equal(w__dfg,v__dfg),
file('GEO041-3.p',unknown),
[] ).
cnf(61,plain,
( ~ between(v__dfg,w__dfg,u)
| ~ between(w__dfg,v__dfg,u) ),
inference(res,[status(thm),theory(equality)],[29,32]),
[iquote('0:Res:29.2,32.0')] ).
cnf(130,plain,
between(v__dfg,w__dfg,u__dfg),
inference(res,[status(thm),theory(equality)],[31,27]),
[iquote('0:Res:31.0,27.0')] ).
cnf(131,plain,
between(w__dfg,v__dfg,u__dfg),
inference(res,[status(thm),theory(equality)],[30,27]),
[iquote('0:Res:30.0,27.0')] ).
cnf(162,plain,
~ between(v__dfg,w__dfg,u__dfg),
inference(res,[status(thm),theory(equality)],[131,61]),
[iquote('0:Res:131.0,61.1')] ).
cnf(163,plain,
$false,
inference(mrr,[status(thm)],[162,130]),
[iquote('0:MRR:162.0,130.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GEO041-3 : TPTP v8.1.0. Released v1.0.0.
% 0.11/0.13 % Command : run_spass %d %s
% 0.12/0.34 % Computer : n026.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Sat Jun 18 19:05:55 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.43
% 0.19/0.43 SPASS V 3.9
% 0.19/0.43 SPASS beiseite: Proof found.
% 0.19/0.43 % SZS status Theorem
% 0.19/0.43 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.43 SPASS derived 106 clauses, backtracked 0 clauses, performed 0 splits and kept 90 clauses.
% 0.19/0.43 SPASS allocated 63239 KBytes.
% 0.19/0.43 SPASS spent 0:00:00.07 on the problem.
% 0.19/0.43 0:00:00.03 for the input.
% 0.19/0.43 0:00:00.00 for the FLOTTER CNF translation.
% 0.19/0.43 0:00:00.00 for inferences.
% 0.19/0.43 0:00:00.00 for the backtracking.
% 0.19/0.43 0:00:00.01 for the reduction.
% 0.19/0.43
% 0.19/0.43
% 0.19/0.43 Here is a proof with depth 2, length 10 :
% 0.19/0.43 % SZS output start Refutation
% See solution above
% 0.19/0.43 Formulae used in the proof : t1 b2 v_between_u_and_w w_between_u_and_v prove_v_is_w
% 0.19/0.43
%------------------------------------------------------------------------------