TSTP Solution File: GEO069-3 by SPASS---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GEO069-3 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n010.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 06:22:04 EDT 2022
% Result : Unsatisfiable 0.20s 0.52s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 9
% Syntax : Number of clauses : 25 ( 14 unt; 3 nHn; 25 RR)
% Number of literals : 40 ( 0 equ; 16 neg)
% Maximal clause size : 4 ( 1 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(67,axiom,
( ~ colinear(u,v,w)
| colinear(w,v,u) ),
file('GEO069-3.p',unknown),
[] ).
cnf(69,axiom,
( ~ colinear(u,v,w)
| colinear(u,w,v) ),
file('GEO069-3.p',unknown),
[] ).
cnf(70,axiom,
( ~ colinear(u,v,w)
| colinear(w,u,v) ),
file('GEO069-3.p',unknown),
[] ).
cnf(71,axiom,
( ~ colinear(u,v,w)
| colinear(v,u,w) ),
file('GEO069-3.p',unknown),
[] ).
cnf(79,axiom,
( ~ colinear(u,v,w)
| ~ colinear(u,v,x)
| equal(u,v)
| colinear(v,x,w) ),
file('GEO069-3.p',unknown),
[] ).
cnf(80,axiom,
~ equal(v__dfg,u__dfg),
file('GEO069-3.p',unknown),
[] ).
cnf(81,axiom,
colinear(w__dfg,v__dfg,u__dfg),
file('GEO069-3.p',unknown),
[] ).
cnf(82,axiom,
colinear(x__dfg,v__dfg,u__dfg),
file('GEO069-3.p',unknown),
[] ).
cnf(83,axiom,
( ~ colinear(x__dfg,w__dfg,v__dfg)
| ~ colinear(x__dfg,w__dfg,u__dfg) ),
file('GEO069-3.p',unknown),
[] ).
cnf(146,plain,
colinear(v__dfg,x__dfg,u__dfg),
inference(res,[status(thm),theory(equality)],[82,71]),
[iquote('0:Res:82.0,71.0')] ).
cnf(147,plain,
colinear(v__dfg,w__dfg,u__dfg),
inference(res,[status(thm),theory(equality)],[81,71]),
[iquote('0:Res:81.0,71.0')] ).
cnf(158,plain,
colinear(u__dfg,v__dfg,x__dfg),
inference(res,[status(thm),theory(equality)],[146,70]),
[iquote('0:Res:146.0,70.0')] ).
cnf(159,plain,
colinear(u__dfg,v__dfg,w__dfg),
inference(res,[status(thm),theory(equality)],[147,70]),
[iquote('0:Res:147.0,70.0')] ).
cnf(167,plain,
colinear(v__dfg,u__dfg,x__dfg),
inference(res,[status(thm),theory(equality)],[146,69]),
[iquote('0:Res:146.0,69.0')] ).
cnf(168,plain,
colinear(v__dfg,u__dfg,w__dfg),
inference(res,[status(thm),theory(equality)],[147,69]),
[iquote('0:Res:147.0,69.0')] ).
cnf(921,plain,
( ~ colinear(u__dfg,v__dfg,u)
| equal(v__dfg,u__dfg)
| colinear(v__dfg,u,x__dfg) ),
inference(res,[status(thm),theory(equality)],[158,79]),
[iquote('0:Res:158.0,79.0')] ).
cnf(927,plain,
( ~ colinear(v__dfg,u__dfg,u)
| equal(v__dfg,u__dfg)
| colinear(u__dfg,u,x__dfg) ),
inference(res,[status(thm),theory(equality)],[167,79]),
[iquote('0:Res:167.0,79.0')] ).
cnf(929,plain,
( ~ colinear(u__dfg,v__dfg,u)
| colinear(v__dfg,u,x__dfg) ),
inference(mrr,[status(thm)],[921,80]),
[iquote('0:MRR:921.1,80.0')] ).
cnf(931,plain,
( ~ colinear(v__dfg,u__dfg,u)
| colinear(u__dfg,u,x__dfg) ),
inference(mrr,[status(thm)],[927,80]),
[iquote('0:MRR:927.1,80.0')] ).
cnf(934,plain,
( ~ colinear(u__dfg,v__dfg,u)
| colinear(x__dfg,u,v__dfg) ),
inference(res,[status(thm),theory(equality)],[929,67]),
[iquote('0:Res:929.1,67.0')] ).
cnf(959,plain,
colinear(u__dfg,w__dfg,x__dfg),
inference(res,[status(thm),theory(equality)],[168,931]),
[iquote('0:Res:168.0,931.0')] ).
cnf(961,plain,
colinear(x__dfg,w__dfg,u__dfg),
inference(res,[status(thm),theory(equality)],[959,67]),
[iquote('0:Res:959.0,67.0')] ).
cnf(966,plain,
~ colinear(x__dfg,w__dfg,v__dfg),
inference(mrr,[status(thm)],[83,961]),
[iquote('0:MRR:83.1,961.0')] ).
cnf(1341,plain,
~ colinear(u__dfg,v__dfg,w__dfg),
inference(res,[status(thm),theory(equality)],[934,966]),
[iquote('0:Res:934.1,966.0')] ).
cnf(1342,plain,
$false,
inference(mrr,[status(thm)],[1341,159]),
[iquote('0:MRR:1341.0,159.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO069-3 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.03/0.13 % Command : run_spass %d %s
% 0.13/0.33 % Computer : n010.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Sat Jun 18 15:38:38 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.52
% 0.20/0.52 SPASS V 3.9
% 0.20/0.52 SPASS beiseite: Proof found.
% 0.20/0.52 % SZS status Theorem
% 0.20/0.52 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.52 SPASS derived 1174 clauses, backtracked 0 clauses, performed 0 splits and kept 478 clauses.
% 0.20/0.52 SPASS allocated 63915 KBytes.
% 0.20/0.52 SPASS spent 0:00:00.17 on the problem.
% 0.20/0.52 0:00:00.04 for the input.
% 0.20/0.52 0:00:00.00 for the FLOTTER CNF translation.
% 0.20/0.52 0:00:00.01 for inferences.
% 0.20/0.52 0:00:00.00 for the backtracking.
% 0.20/0.52 0:00:00.09 for the reduction.
% 0.20/0.52
% 0.20/0.52
% 0.20/0.52 Here is a proof with depth 5, length 25 :
% 0.20/0.52 % SZS output start Refutation
% See solution above
% 0.20/0.52 Formulae used in the proof : t10_1 t10_3 t10_4 t10_5 t12_2 u_not_v wvu_colinear xvu_colinear prove_xwu_and_xwv_colinear
% 0.20/0.52
%------------------------------------------------------------------------------