TSTP Solution File: GEO117-1 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GEO117-1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n016.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 06:22:28 EDT 2022
% Result : Unsatisfiable 0.20s 0.56s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of clauses : 9 ( 4 unt; 0 nHn; 9 RR)
% Number of literals : 15 ( 0 equ; 9 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-4 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-4 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
ordered_by(sk25,sk26,sk26),
file('GEO117-1.p',unknown),
[] ).
cnf(50,axiom,
( ~ equal(u,v)
| ~ between_c(w,u,x,v) ),
file('GEO117-1.p',unknown),
[] ).
cnf(61,axiom,
( ~ ordered_by(u,v,w)
| ~ ordered_by(u,x,v)
| between_o(u,w,v,x) ),
file('GEO117-1.p',unknown),
[] ).
cnf(79,axiom,
( ~ between_o(u,v,w,x)
| between_c(ax2_sk4(u,x,w,v),v,w,x) ),
file('GEO117-1.p',unknown),
[] ).
cnf(101,plain,
( ~ ordered_by(sk25,sk26,u)
| between_o(sk25,u,sk26,sk26) ),
inference(res,[status(thm),theory(equality)],[1,61]),
[iquote('0:Res:1.0,61.0')] ).
cnf(106,plain,
between_o(sk25,sk26,sk26,sk26),
inference(res,[status(thm),theory(equality)],[1,101]),
[iquote('0:Res:1.0,101.0')] ).
cnf(1351,plain,
( ~ between_o(u,v,w,x)
| ~ equal(v,x) ),
inference(res,[status(thm),theory(equality)],[79,50]),
[iquote('0:Res:79.1,50.1')] ).
cnf(1410,plain,
~ equal(sk26,sk26),
inference(res,[status(thm),theory(equality)],[106,1351]),
[iquote('0:Res:106.0,1351.0')] ).
cnf(1417,plain,
$false,
inference(obv,[status(thm),theory(equality)],[1410]),
[iquote('0:Obv:1410.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GEO117-1 : TPTP v8.1.0. Released v2.4.0.
% 0.06/0.13 % Command : run_spass %d %s
% 0.13/0.34 % Computer : n016.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 05:13:21 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.56
% 0.20/0.56 SPASS V 3.9
% 0.20/0.56 SPASS beiseite: Proof found.
% 0.20/0.56 % SZS status Theorem
% 0.20/0.56 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.56 SPASS derived 1161 clauses, backtracked 0 clauses, performed 1 splits and kept 497 clauses.
% 0.20/0.56 SPASS allocated 76728 KBytes.
% 0.20/0.56 SPASS spent 0:00:00.20 on the problem.
% 0.20/0.56 0:00:00.04 for the input.
% 0.20/0.56 0:00:00.00 for the FLOTTER CNF translation.
% 0.20/0.56 0:00:00.02 for inferences.
% 0.20/0.56 0:00:00.00 for the backtracking.
% 0.20/0.56 0:00:00.11 for the reduction.
% 0.20/0.56
% 0.20/0.56
% 0.20/0.56 Here is a proof with depth 3, length 9 :
% 0.20/0.56 % SZS output start Refutation
% See solution above
% 0.20/0.56 Formulae used in the proof : theorem_4_4_133 between_c_defn_1 between_o_defn_6 o3_24
% 0.20/0.56
%------------------------------------------------------------------------------