TSTP Solution File: GEO008-3 by SPASS---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GEO008-3 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n011.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 06:21:30 EDT 2022
% Result : Unsatisfiable 2.29s 2.44s
% Output : Refutation 2.29s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 8
% Syntax : Number of clauses : 26 ( 13 unt; 4 nHn; 26 RR)
% Number of literals : 44 ( 0 equ; 18 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 9 con; 0-0 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(27,axiom,
( ~ between(u,v,w)
| between(w,v,u) ),
file('GEO008-3.p',unknown),
[] ).
cnf(37,axiom,
( ~ between(u,v,w)
| ~ between(x,u,w)
| between(x,v,w) ),
file('GEO008-3.p',unknown),
[] ).
cnf(38,axiom,
( ~ between(u,v,w)
| ~ between(u,x,v)
| between(u,x,w) ),
file('GEO008-3.p',unknown),
[] ).
cnf(61,axiom,
( ~ between(u,v,w)
| ~ between(u,x,w)
| between(v,x,w)
| between(x,v,w) ),
file('GEO008-3.p',unknown),
[] ).
cnf(62,axiom,
between(a,c,e),
file('GEO008-3.p',unknown),
[] ).
cnf(63,axiom,
between(a,d,e),
file('GEO008-3.p',unknown),
[] ).
cnf(64,axiom,
between(c,b,d),
file('GEO008-3.p',unknown),
[] ).
cnf(65,axiom,
~ between(a,b,e),
file('GEO008-3.p',unknown),
[] ).
cnf(96,plain,
~ between(e,b,a),
inference(res,[status(thm),theory(equality)],[27,65]),
[iquote('0:Res:27.1,65.0')] ).
cnf(200,plain,
between(e,c,a),
inference(res,[status(thm),theory(equality)],[62,27]),
[iquote('0:Res:62.0,27.0')] ).
cnf(201,plain,
between(e,d,a),
inference(res,[status(thm),theory(equality)],[63,27]),
[iquote('0:Res:63.0,27.0')] ).
cnf(202,plain,
between(d,b,c),
inference(res,[status(thm),theory(equality)],[64,27]),
[iquote('0:Res:64.0,27.0')] ).
cnf(665,plain,
( ~ between(e,u,c)
| between(e,u,a) ),
inference(res,[status(thm),theory(equality)],[200,38]),
[iquote('0:Res:200.0,38.0')] ).
cnf(666,plain,
( ~ between(e,u,d)
| between(e,u,a) ),
inference(res,[status(thm),theory(equality)],[201,38]),
[iquote('0:Res:201.0,38.0')] ).
cnf(698,plain,
( ~ between(u,c,d)
| between(u,b,d) ),
inference(res,[status(thm),theory(equality)],[64,37]),
[iquote('0:Res:64.0,37.0')] ).
cnf(699,plain,
( ~ between(u,d,c)
| between(u,b,c) ),
inference(res,[status(thm),theory(equality)],[202,37]),
[iquote('0:Res:202.0,37.0')] ).
cnf(1217,plain,
( ~ between(a,u,e)
| between(c,u,e)
| between(u,c,e) ),
inference(res,[status(thm),theory(equality)],[62,61]),
[iquote('0:Res:62.0,61.0')] ).
cnf(1407,plain,
( ~ between(e,c,d)
| between(e,b,a) ),
inference(res,[status(thm),theory(equality)],[698,666]),
[iquote('0:Res:698.1,666.0')] ).
cnf(1409,plain,
~ between(e,c,d),
inference(mrr,[status(thm)],[1407,96]),
[iquote('0:MRR:1407.1,96.0')] ).
cnf(1502,plain,
( ~ between(e,d,c)
| between(e,b,a) ),
inference(res,[status(thm),theory(equality)],[699,665]),
[iquote('0:Res:699.1,665.0')] ).
cnf(1504,plain,
~ between(e,d,c),
inference(mrr,[status(thm)],[1502,96]),
[iquote('0:MRR:1502.1,96.0')] ).
cnf(4382,plain,
( between(c,d,e)
| between(d,c,e) ),
inference(res,[status(thm),theory(equality)],[63,1217]),
[iquote('0:Res:63.0,1217.0')] ).
cnf(4416,plain,
( between(c,d,e)
| between(e,c,d) ),
inference(res,[status(thm),theory(equality)],[4382,27]),
[iquote('0:Res:4382.1,27.0')] ).
cnf(4417,plain,
between(c,d,e),
inference(mrr,[status(thm)],[4416,1409]),
[iquote('0:MRR:4416.1,1409.0')] ).
cnf(4432,plain,
between(e,d,c),
inference(res,[status(thm),theory(equality)],[4417,27]),
[iquote('0:Res:4417.0,27.0')] ).
cnf(4433,plain,
$false,
inference(mrr,[status(thm)],[4432,1504]),
[iquote('0:MRR:4432.0,1504.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO008-3 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.07/0.13 % Command : run_spass %d %s
% 0.13/0.34 % Computer : n011.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 04:05:37 EDT 2022
% 0.13/0.34 % CPUTime :
% 2.29/2.44
% 2.29/2.44 SPASS V 3.9
% 2.29/2.44 SPASS beiseite: Proof found.
% 2.29/2.44 % SZS status Theorem
% 2.29/2.44 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.29/2.44 SPASS derived 3851 clauses, backtracked 23 clauses, performed 4 splits and kept 2295 clauses.
% 2.29/2.44 SPASS allocated 66534 KBytes.
% 2.29/2.44 SPASS spent 0:00:02.06 on the problem.
% 2.29/2.44 0:00:00.05 for the input.
% 2.29/2.44 0:00:00.00 for the FLOTTER CNF translation.
% 2.29/2.44 0:00:00.05 for inferences.
% 2.29/2.44 0:00:00.01 for the backtracking.
% 2.29/2.44 0:00:01.89 for the reduction.
% 2.29/2.44
% 2.29/2.44
% 2.29/2.44 Here is a proof with depth 4, length 26 :
% 2.29/2.44 % SZS output start Refutation
% See solution above
% 2.29/2.44 Formulae used in the proof : t1 b8 b9 b14 c_between_a_and_e d_between_a_and_e b_between_c_and_d prove_betweenness
% 2.29/2.44
%------------------------------------------------------------------------------