TSTP Solution File: GEO124-1 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GEO124-1 : 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 06:22:31 EDT 2022
% Result : Unsatisfiable 9.52s 9.71s
% Output : Refutation 9.52s
% 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,
start_point(sk26,sk25),
file('GEO124-1.p',unknown),
[] ).
cnf(2,axiom,
start_point(sk27,sk25),
file('GEO124-1.p',unknown),
[] ).
cnf(3,axiom,
~ equal(sk27,sk26),
file('GEO124-1.p',unknown),
[] ).
cnf(52,axiom,
( ~ equal(u,v)
| ~ between_c(w,u,x,v) ),
file('GEO124-1.p',unknown),
[] ).
cnf(63,axiom,
( ~ ordered_by(u,v,w)
| ~ ordered_by(u,x,v)
| between_o(u,w,v,x) ),
file('GEO124-1.p',unknown),
[] ).
cnf(64,axiom,
( ~ start_point(u,v)
| incident_o(u,v) ),
file('GEO124-1.p',unknown),
[] ).
cnf(65,axiom,
( ~ incident_o(u,v)
| ~ start_point(w,v)
| equal(w,u)
| ordered_by(v,w,u) ),
file('GEO124-1.p',unknown),
[] ).
cnf(81,axiom,
( ~ between_o(u,v,w,x)
| between_c(ax2_sk4(u,x,w,v),v,w,x) ),
file('GEO124-1.p',unknown),
[] ).
cnf(103,plain,
incident_o(sk27,sk25),
inference(res,[status(thm),theory(equality)],[2,64]),
[iquote('0:Res:2.0,64.0')] ).
cnf(105,plain,
incident_o(sk26,sk25),
inference(res,[status(thm),theory(equality)],[1,64]),
[iquote('0:Res:1.0,64.0')] ).
cnf(109,plain,
( ~ incident_o(sk26,u)
| ~ start_point(sk27,u)
| ordered_by(u,sk27,sk26) ),
inference(res,[status(thm),theory(equality)],[65,3]),
[iquote('0:Res:65.2,3.0')] ).
cnf(123,plain,
( ~ incident_o(sk27,u)
| ~ start_point(sk26,u)
| ordered_by(u,sk26,sk27) ),
inference(res,[status(thm),theory(equality)],[65,3]),
[iquote('0:Res:65.2,3.0')] ).
cnf(134,plain,
( ~ incident_o(sk27,sk25)
| ordered_by(sk25,sk26,sk27) ),
inference(res,[status(thm),theory(equality)],[1,123]),
[iquote('0:Res:1.0,123.0')] ).
cnf(140,plain,
ordered_by(sk25,sk26,sk27),
inference(mrr,[status(thm)],[134,103]),
[iquote('0:MRR:134.0,103.0')] ).
cnf(1173,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(1608,plain,
( ~ ordered_by(u,v,w)
| ~ ordered_by(u,x,v)
| ~ equal(w,x) ),
inference(res,[status(thm),theory(equality)],[63,1173]),
[iquote('0:Res:63.2,1173.0')] ).
cnf(14183,plain,
( ~ ordered_by(sk25,u,sk26)
| ~ equal(sk27,u) ),
inference(res,[status(thm),theory(equality)],[140,1608]),
[iquote('0:Res:140.0,1608.0')] ).
cnf(14262,plain,
( ~ incident_o(sk26,sk25)
| ~ start_point(sk27,sk25)
| ~ equal(sk27,sk27) ),
inference(res,[status(thm),theory(equality)],[109,14183]),
[iquote('0:Res:109.2,14183.0')] ).
cnf(14269,plain,
( ~ incident_o(sk26,sk25)
| ~ start_point(sk27,sk25) ),
inference(obv,[status(thm),theory(equality)],[14262]),
[iquote('0:Obv:14262.2')] ).
cnf(14270,plain,
$false,
inference(mrr,[status(thm)],[14269,105,2]),
[iquote('0:MRR:14269.0,14269.1,105.0,2.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GEO124-1 : TPTP v8.1.0. Released v2.4.0.
% 0.11/0.12 % Command : run_spass %d %s
% 0.13/0.33 % Computer : n006.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 02:00:10 EDT 2022
% 0.13/0.33 % CPUTime :
% 9.52/9.71
% 9.52/9.71 SPASS V 3.9
% 9.52/9.71 SPASS beiseite: Proof found.
% 9.52/9.71 % SZS status Theorem
% 9.52/9.71 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 9.52/9.71 SPASS derived 12113 clauses, backtracked 0 clauses, performed 15 splits and kept 5192 clauses.
% 9.52/9.71 SPASS allocated 87870 KBytes.
% 9.52/9.71 SPASS spent 0:00:09.15 on the problem.
% 9.52/9.71 0:00:00.04 for the input.
% 9.52/9.71 0:00:00.00 for the FLOTTER CNF translation.
% 9.52/9.71 0:00:00.22 for inferences.
% 9.52/9.71 0:00:00.20 for the backtracking.
% 9.52/9.71 0:00:08.59 for the reduction.
% 9.52/9.71
% 9.52/9.71
% 9.52/9.71 Here is a proof with depth 4, length 20 :
% 9.52/9.71 % SZS output start Refutation
% See solution above
% 9.52/9.71 Formulae used in the proof : corollary_4_10_1_133 corollary_4_10_1_134 corollary_4_10_1_135 between_c_defn_1 between_o_defn_6 start_point_defn_7 start_point_defn_8 o3_24
% 9.52/9.71
%------------------------------------------------------------------------------