TSTP Solution File: GEO051-3 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GEO051-3 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n012.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 06:21:54 EDT 2022
% Result : Unsatisfiable 2.34s 2.60s
% Output : Refutation 2.34s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 9
% Syntax : Number of clauses : 19 ( 8 unt; 4 nHn; 19 RR)
% Number of literals : 38 ( 0 equ; 17 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 8 con; 0-0 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(28,axiom,
between(u,u,v),
file('GEO051-3.p',unknown),
[] ).
cnf(34,axiom,
( ~ between(u,v,w)
| ~ between(u,x,v)
| between(x,v,w) ),
file('GEO051-3.p',unknown),
[] ).
cnf(37,axiom,
( ~ between(u,v,w)
| ~ between(x,u,w)
| between(x,v,w) ),
file('GEO051-3.p',unknown),
[] ).
cnf(57,axiom,
( ~ between(u,v,w)
| ~ between(u,v,x)
| equal(u,v)
| between(u,w,x)
| between(u,x,w) ),
file('GEO051-3.p',unknown),
[] ).
cnf(58,axiom,
between(u__dfg,v__dfg,w__dfg),
file('GEO051-3.p',unknown),
[] ).
cnf(59,axiom,
between(u__dfg,v__dfg,x__dfg),
file('GEO051-3.p',unknown),
[] ).
cnf(60,axiom,
~ equal(v__dfg,u__dfg),
file('GEO051-3.p',unknown),
[] ).
cnf(61,axiom,
~ between(v__dfg,w__dfg,x__dfg),
file('GEO051-3.p',unknown),
[] ).
cnf(62,axiom,
~ between(v__dfg,x__dfg,w__dfg),
file('GEO051-3.p',unknown),
[] ).
cnf(95,plain,
( ~ between(u,x__dfg,w__dfg)
| ~ between(u,v__dfg,x__dfg) ),
inference(res,[status(thm),theory(equality)],[34,62]),
[iquote('0:Res:34.2,62.0')] ).
cnf(648,plain,
( ~ between(u,u__dfg,w__dfg)
| between(u,v__dfg,w__dfg) ),
inference(res,[status(thm),theory(equality)],[58,37]),
[iquote('0:Res:58.0,37.0')] ).
cnf(1525,plain,
( ~ between(u__dfg,v__dfg,u)
| equal(v__dfg,u__dfg)
| between(u__dfg,x__dfg,u)
| between(u__dfg,u,x__dfg) ),
inference(res,[status(thm),theory(equality)],[59,57]),
[iquote('0:Res:59.0,57.0')] ).
cnf(1565,plain,
( ~ between(u__dfg,v__dfg,u)
| between(u__dfg,x__dfg,u)
| between(u__dfg,u,x__dfg) ),
inference(mrr,[status(thm)],[1525,60]),
[iquote('0:MRR:1525.1,60.0')] ).
cnf(3649,plain,
( between(u__dfg,x__dfg,w__dfg)
| between(u__dfg,w__dfg,x__dfg) ),
inference(res,[status(thm),theory(equality)],[58,1565]),
[iquote('0:Res:58.0,1565.0')] ).
cnf(3702,plain,
( ~ between(u__dfg,v__dfg,x__dfg)
| between(u__dfg,w__dfg,x__dfg) ),
inference(res,[status(thm),theory(equality)],[3649,95]),
[iquote('0:Res:3649.0,95.0')] ).
cnf(3708,plain,
between(u__dfg,w__dfg,x__dfg),
inference(mrr,[status(thm)],[3702,59]),
[iquote('0:MRR:3702.0,59.0')] ).
cnf(3714,plain,
( ~ between(u__dfg,u,w__dfg)
| between(u,w__dfg,x__dfg) ),
inference(res,[status(thm),theory(equality)],[3708,34]),
[iquote('0:Res:3708.0,34.0')] ).
cnf(5325,plain,
( ~ between(u__dfg,u__dfg,w__dfg)
| between(v__dfg,w__dfg,x__dfg) ),
inference(res,[status(thm),theory(equality)],[648,3714]),
[iquote('0:Res:648.1,3714.0')] ).
cnf(5341,plain,
$false,
inference(mrr,[status(thm)],[5325,28,61]),
[iquote('0:MRR:5325.0,5325.1,28.0,61.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GEO051-3 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.12/0.12 % Command : run_spass %d %s
% 0.12/0.33 % Computer : n012.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Sat Jun 18 10:05:23 EDT 2022
% 0.12/0.33 % CPUTime :
% 2.34/2.60
% 2.34/2.60 SPASS V 3.9
% 2.34/2.60 SPASS beiseite: Proof found.
% 2.34/2.60 % SZS status Theorem
% 2.34/2.60 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.34/2.60 SPASS derived 4684 clauses, backtracked 0 clauses, performed 1 splits and kept 2379 clauses.
% 2.34/2.60 SPASS allocated 67341 KBytes.
% 2.34/2.60 SPASS spent 0:00:02.22 on the problem.
% 2.34/2.60 0:00:00.04 for the input.
% 2.34/2.60 0:00:00.00 for the FLOTTER CNF translation.
% 2.34/2.60 0:00:00.06 for inferences.
% 2.34/2.60 0:00:00.00 for the backtracking.
% 2.34/2.60 0:00:02.08 for the reduction.
% 2.34/2.60
% 2.34/2.60
% 2.34/2.60 Here is a proof with depth 5, length 19 :
% 2.34/2.60 % SZS output start Refutation
% See solution above
% 2.34/2.60 Formulae used in the proof : t2 b5 b8 b12 v_between_u_and_w v_between_u_and_x u_not_v w_not_between_v_and_x prove_x_between_v_and_w
% 2.34/2.60
%------------------------------------------------------------------------------