TSTP Solution File: GEO045-3 by SPASS---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GEO045-3 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n028.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 06:21:51 EDT 2022
% Result : Unsatisfiable 0.18s 0.47s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 9
% Syntax : Number of clauses : 21 ( 9 unt; 2 nHn; 21 RR)
% Number of literals : 37 ( 0 equ; 17 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 9 con; 0-4 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(10,axiom,
equal(extension(u,v,w,w),v),
file('GEO045-3.p',unknown),
[] ).
cnf(11,axiom,
( ~ equal(u,extension(v,w,x,y))
| between(v,w,u) ),
file('GEO045-3.p',unknown),
[] ).
cnf(27,axiom,
( ~ between(u,v,w)
| between(w,v,u) ),
file('GEO045-3.p',unknown),
[] ).
cnf(34,axiom,
( ~ between(u,v,w)
| ~ between(u,x,v)
| between(x,v,w) ),
file('GEO045-3.p',unknown),
[] ).
cnf(35,axiom,
( ~ between(u,v,w)
| ~ between(x,u,v)
| equal(u,v)
| between(x,v,w) ),
file('GEO045-3.p',unknown),
[] ).
cnf(36,axiom,
between(u__dfg,v__dfg,w__dfg),
file('GEO045-3.p',unknown),
[] ).
cnf(37,axiom,
between(v__dfg,w__dfg,x__dfg),
file('GEO045-3.p',unknown),
[] ).
cnf(38,axiom,
~ equal(w__dfg,v__dfg),
file('GEO045-3.p',unknown),
[] ).
cnf(39,axiom,
~ between(u__dfg,v__dfg,x__dfg),
file('GEO045-3.p',unknown),
[] ).
cnf(63,plain,
~ between(x__dfg,v__dfg,u__dfg),
inference(res,[status(thm),theory(equality)],[27,39]),
[iquote('0:Res:27.1,39.0')] ).
cnf(114,plain,
between(w__dfg,v__dfg,u__dfg),
inference(res,[status(thm),theory(equality)],[36,27]),
[iquote('0:Res:36.0,27.0')] ).
cnf(372,plain,
( ~ equal(u,v)
| between(w,v,u) ),
inference(spl,[status(thm),theory(equality)],[10,11]),
[iquote('0:SpL:10.0,11.0')] ).
cnf(378,plain,
( ~ equal(u,v)
| between(u,v,w) ),
inference(res,[status(thm),theory(equality)],[372,27]),
[iquote('0:Res:372.1,27.0')] ).
cnf(436,plain,
( ~ between(v__dfg,u,w__dfg)
| between(u,w__dfg,x__dfg) ),
inference(res,[status(thm),theory(equality)],[37,34]),
[iquote('0:Res:37.0,34.0')] ).
cnf(503,plain,
( ~ equal(v__dfg,u)
| between(u,w__dfg,x__dfg) ),
inference(res,[status(thm),theory(equality)],[378,436]),
[iquote('0:Res:378.1,436.0')] ).
cnf(510,plain,
( ~ equal(v__dfg,u)
| between(x__dfg,w__dfg,u) ),
inference(res,[status(thm),theory(equality)],[503,27]),
[iquote('0:Res:503.1,27.0')] ).
cnf(520,plain,
( ~ between(u,w__dfg,v__dfg)
| equal(w__dfg,v__dfg)
| between(u,v__dfg,u__dfg) ),
inference(res,[status(thm),theory(equality)],[114,35]),
[iquote('0:Res:114.0,35.0')] ).
cnf(533,plain,
( ~ between(u,w__dfg,v__dfg)
| between(u,v__dfg,u__dfg) ),
inference(mrr,[status(thm)],[520,38]),
[iquote('0:MRR:520.1,38.0')] ).
cnf(798,plain,
( ~ equal(v__dfg,v__dfg)
| between(x__dfg,v__dfg,u__dfg) ),
inference(res,[status(thm),theory(equality)],[510,533]),
[iquote('0:Res:510.1,533.0')] ).
cnf(801,plain,
between(x__dfg,v__dfg,u__dfg),
inference(obv,[status(thm),theory(equality)],[798]),
[iquote('0:Obv:798.0')] ).
cnf(802,plain,
$false,
inference(mrr,[status(thm)],[801,63]),
[iquote('0:MRR:801.0,63.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : GEO045-3 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.12 % Command : run_spass %d %s
% 0.12/0.33 % Computer : n028.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 14:55:59 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.47
% 0.18/0.47 SPASS V 3.9
% 0.18/0.47 SPASS beiseite: Proof found.
% 0.18/0.47 % SZS status Theorem
% 0.18/0.47 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.47 SPASS derived 685 clauses, backtracked 0 clauses, performed 1 splits and kept 295 clauses.
% 0.18/0.47 SPASS allocated 63622 KBytes.
% 0.18/0.47 SPASS spent 0:00:00.13 on the problem.
% 0.18/0.47 0:00:00.04 for the input.
% 0.18/0.47 0:00:00.00 for the FLOTTER CNF translation.
% 0.18/0.47 0:00:00.01 for inferences.
% 0.18/0.47 0:00:00.00 for the backtracking.
% 0.18/0.47 0:00:00.06 for the reduction.
% 0.18/0.47
% 0.18/0.47
% 0.18/0.47 Here is a proof with depth 5, length 21 :
% 0.18/0.47 % SZS output start Refutation
% See solution above
% 0.18/0.47 Formulae used in the proof : e1 b0 t1 b5 b6 v_between_u_and_w w_between_v_and_x v_not_w prove_v_between_u_and_x
% 0.18/0.47
%------------------------------------------------------------------------------