TSTP Solution File: GEO125-1 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GEO125-1 : 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 06:22:32 EDT 2022
% Result : Unsatisfiable 9.74s 9.93s
% Output : Refutation 9.74s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 8
% Syntax : Number of clauses : 20 ( 7 unt; 1 nHn; 20 RR)
% Number of literals : 40 ( 0 equ; 26 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 6 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,
finish_point(sk26,sk25),
file('GEO125-1.p',unknown),
[] ).
cnf(2,axiom,
finish_point(sk27,sk25),
file('GEO125-1.p',unknown),
[] ).
cnf(3,axiom,
~ equal(sk27,sk26),
file('GEO125-1.p',unknown),
[] ).
cnf(52,axiom,
( ~ equal(u,v)
| ~ between_c(w,u,x,v) ),
file('GEO125-1.p',unknown),
[] ).
cnf(63,axiom,
( ~ ordered_by(u,v,w)
| ~ ordered_by(u,x,v)
| between_o(u,w,v,x) ),
file('GEO125-1.p',unknown),
[] ).
cnf(69,axiom,
( ~ finish_point(u,v)
| incident_o(u,v) ),
file('GEO125-1.p',unknown),
[] ).
cnf(70,axiom,
( ~ incident_o(u,v)
| ~ finish_point(w,v)
| equal(w,u)
| ordered_by(v,u,w) ),
file('GEO125-1.p',unknown),
[] ).
cnf(81,axiom,
( ~ between_o(u,v,w,x)
| between_c(ax2_sk4(u,x,w,v),v,w,x) ),
file('GEO125-1.p',unknown),
[] ).
cnf(103,plain,
incident_o(sk27,sk25),
inference(res,[status(thm),theory(equality)],[2,69]),
[iquote('0:Res:2.0,69.0')] ).
cnf(105,plain,
incident_o(sk26,sk25),
inference(res,[status(thm),theory(equality)],[1,69]),
[iquote('0:Res:1.0,69.0')] ).
cnf(110,plain,
( ~ incident_o(sk26,u)
| ~ finish_point(sk27,u)
| ordered_by(u,sk26,sk27) ),
inference(res,[status(thm),theory(equality)],[70,3]),
[iquote('0:Res:70.2,3.0')] ).
cnf(124,plain,
( ~ incident_o(sk27,u)
| ~ finish_point(sk26,u)
| ordered_by(u,sk27,sk26) ),
inference(res,[status(thm),theory(equality)],[70,3]),
[iquote('0:Res:70.2,3.0')] ).
cnf(134,plain,
( ~ incident_o(sk27,sk25)
| ordered_by(sk25,sk27,sk26) ),
inference(res,[status(thm),theory(equality)],[1,124]),
[iquote('0:Res:1.0,124.0')] ).
cnf(140,plain,
ordered_by(sk25,sk27,sk26),
inference(mrr,[status(thm)],[134,103]),
[iquote('0:MRR:134.0,103.0')] ).
cnf(1429,plain,
( ~ between_o(u,v,w,x)
| ~ equal(v,x) ),
inference(res,[status(thm),theory(equality)],[81,52]),
[iquote('0:Res:81.1,52.1')] ).
cnf(1617,plain,
( ~ ordered_by(u,v,w)
| ~ ordered_by(u,x,v)
| ~ equal(w,x) ),
inference(res,[status(thm),theory(equality)],[63,1429]),
[iquote('0:Res:63.2,1429.0')] ).
cnf(14220,plain,
( ~ ordered_by(sk25,u,sk27)
| ~ equal(sk26,u) ),
inference(res,[status(thm),theory(equality)],[140,1617]),
[iquote('0:Res:140.0,1617.0')] ).
cnf(14300,plain,
( ~ incident_o(sk26,sk25)
| ~ finish_point(sk27,sk25)
| ~ equal(sk26,sk26) ),
inference(res,[status(thm),theory(equality)],[110,14220]),
[iquote('0:Res:110.2,14220.0')] ).
cnf(14305,plain,
( ~ incident_o(sk26,sk25)
| ~ finish_point(sk27,sk25) ),
inference(obv,[status(thm),theory(equality)],[14300]),
[iquote('0:Obv:14300.2')] ).
cnf(14306,plain,
$false,
inference(mrr,[status(thm)],[14305,105,2]),
[iquote('0:MRR:14305.0,14305.1,105.0,2.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO125-1 : TPTP v8.1.0. Released v2.4.0.
% 0.07/0.13 % 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 20:07:56 EDT 2022
% 0.13/0.34 % CPUTime :
% 9.74/9.93
% 9.74/9.93 SPASS V 3.9
% 9.74/9.93 SPASS beiseite: Proof found.
% 9.74/9.93 % SZS status Theorem
% 9.74/9.93 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 9.74/9.93 SPASS derived 12150 clauses, backtracked 0 clauses, performed 15 splits and kept 5216 clauses.
% 9.74/9.93 SPASS allocated 87879 KBytes.
% 9.74/9.93 SPASS spent 0:00:09.35 on the problem.
% 9.74/9.93 0:00:00.04 for the input.
% 9.74/9.93 0:00:00.00 for the FLOTTER CNF translation.
% 9.74/9.93 0:00:00.23 for inferences.
% 9.74/9.93 0:00:00.20 for the backtracking.
% 9.74/9.93 0:00:08.77 for the reduction.
% 9.74/9.93
% 9.74/9.93
% 9.74/9.93 Here is a proof with depth 4, length 20 :
% 9.74/9.93 % SZS output start Refutation
% See solution above
% 9.74/9.93 Formulae used in the proof : corollary_4_10_2_133 corollary_4_10_2_134 corollary_4_10_2_135 between_c_defn_1 between_o_defn_6 finish_point_defn_12 finish_point_defn_13 o3_24
% 9.74/9.93
%------------------------------------------------------------------------------