TSTP Solution File: GEO118-1 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GEO118-1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n006.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 06:22:29 EDT 2022
% Result : Unsatisfiable 0.19s 0.57s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 5
% Syntax : Number of clauses : 10 ( 5 unt; 0 nHn; 10 RR)
% Number of literals : 16 ( 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 : 8 ( 8 usr; 7 con; 0-4 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
ordered_by(sk25,sk26,sk27),
file('GEO118-1.p',unknown),
[] ).
cnf(2,axiom,
ordered_by(sk25,sk27,sk26),
file('GEO118-1.p',unknown),
[] ).
cnf(51,axiom,
( ~ equal(u,v)
| ~ between_c(w,u,x,v) ),
file('GEO118-1.p',unknown),
[] ).
cnf(62,axiom,
( ~ ordered_by(u,v,w)
| ~ ordered_by(u,x,v)
| between_o(u,w,v,x) ),
file('GEO118-1.p',unknown),
[] ).
cnf(80,axiom,
( ~ between_o(u,v,w,x)
| between_c(ax2_sk4(u,x,w,v),v,w,x) ),
file('GEO118-1.p',unknown),
[] ).
cnf(106,plain,
( ~ ordered_by(sk25,u,sk27)
| between_o(sk25,sk26,sk27,u) ),
inference(res,[status(thm),theory(equality)],[2,62]),
[iquote('0:Res:2.0,62.1')] ).
cnf(115,plain,
between_o(sk25,sk26,sk27,sk26),
inference(res,[status(thm),theory(equality)],[1,106]),
[iquote('0:Res:1.0,106.0')] ).
cnf(1352,plain,
( ~ between_o(u,v,w,x)
| ~ equal(v,x) ),
inference(res,[status(thm),theory(equality)],[80,51]),
[iquote('0:Res:80.1,51.1')] ).
cnf(1481,plain,
~ equal(sk26,sk26),
inference(res,[status(thm),theory(equality)],[115,1352]),
[iquote('0:Res:115.0,1352.0')] ).
cnf(1489,plain,
$false,
inference(obv,[status(thm),theory(equality)],[1481]),
[iquote('0:Obv:1481.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GEO118-1 : TPTP v8.1.0. Released v2.4.0.
% 0.11/0.12 % Command : run_spass %d %s
% 0.13/0.34 % Computer : n006.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 : Fri Jun 17 18:23:25 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.57
% 0.19/0.57 SPASS V 3.9
% 0.19/0.57 SPASS beiseite: Proof found.
% 0.19/0.57 % SZS status Theorem
% 0.19/0.57 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.57 SPASS derived 1229 clauses, backtracked 0 clauses, performed 1 splits and kept 520 clauses.
% 0.19/0.57 SPASS allocated 76768 KBytes.
% 0.19/0.57 SPASS spent 0:00:00.21 on the problem.
% 0.19/0.57 0:00:00.04 for the input.
% 0.19/0.57 0:00:00.00 for the FLOTTER CNF translation.
% 0.19/0.57 0:00:00.02 for inferences.
% 0.19/0.57 0:00:00.00 for the backtracking.
% 0.19/0.57 0:00:00.12 for the reduction.
% 0.19/0.57
% 0.19/0.57
% 0.19/0.57 Here is a proof with depth 3, length 10 :
% 0.19/0.57 % SZS output start Refutation
% See solution above
% 0.19/0.57 Formulae used in the proof : theorem_4_5_133 theorem_4_5_134 between_c_defn_1 between_o_defn_6 o3_24
% 0.19/0.57
%------------------------------------------------------------------------------