TSTP Solution File: GEO082-1 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GEO082-1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n007.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 06:22:10 EDT 2022
% Result : Unsatisfiable 0.19s 0.42s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 6
% Syntax : Number of clauses : 14 ( 7 unt; 2 nHn; 14 RR)
% Number of literals : 24 ( 0 equ; 11 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
part_of(sk14,sk15),
file('GEO082-1.p',unknown),
[] ).
cnf(2,axiom,
part_of(sk15,sk14),
file('GEO082-1.p',unknown),
[] ).
cnf(3,axiom,
~ equal(sk15,sk14),
file('GEO082-1.p',unknown),
[] ).
cnf(4,axiom,
( ~ incident_c(u,v)
| ~ part_of(v,w)
| incident_c(u,w) ),
file('GEO082-1.p',unknown),
[] ).
cnf(48,axiom,
( equal(u,v)
| incident_c(ax0_sk13(v,u),v)
| incident_c(ax0_sk13(v,u),u) ),
file('GEO082-1.p',unknown),
[] ).
cnf(51,axiom,
( ~ incident_c(ax0_sk13(u,v),v)
| ~ incident_c(ax0_sk13(u,v),u)
| equal(v,u) ),
file('GEO082-1.p',unknown),
[] ).
cnf(53,plain,
( ~ incident_c(u,sk15)
| incident_c(u,sk14) ),
inference(res,[status(thm),theory(equality)],[2,4]),
[iquote('0:Res:2.0,4.0')] ).
cnf(60,plain,
( ~ incident_c(u,sk14)
| incident_c(u,sk15) ),
inference(res,[status(thm),theory(equality)],[1,4]),
[iquote('0:Res:1.0,4.0')] ).
cnf(67,plain,
( ~ incident_c(ax0_sk13(sk14,sk15),sk14)
| ~ incident_c(ax0_sk13(sk14,sk15),sk15) ),
inference(res,[status(thm),theory(equality)],[51,3]),
[iquote('0:Res:51.2,3.0')] ).
cnf(68,plain,
( incident_c(ax0_sk13(sk14,sk15),sk15)
| incident_c(ax0_sk13(sk14,sk15),sk14) ),
inference(res,[status(thm),theory(equality)],[48,3]),
[iquote('0:Res:48.2,3.0')] ).
cnf(80,plain,
incident_c(ax0_sk13(sk14,sk15),sk14),
inference(mrr,[status(thm)],[68,53]),
[iquote('0:MRR:68.0,53.0')] ).
cnf(82,plain,
~ incident_c(ax0_sk13(sk14,sk15),sk15),
inference(mrr,[status(thm)],[67,80]),
[iquote('0:MRR:67.0,80.0')] ).
cnf(103,plain,
~ incident_c(ax0_sk13(sk14,sk15),sk14),
inference(res,[status(thm),theory(equality)],[60,82]),
[iquote('0:Res:60.1,82.0')] ).
cnf(104,plain,
$false,
inference(mrr,[status(thm)],[103,80]),
[iquote('0:MRR:103.0,80.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : GEO082-1 : TPTP v8.1.0. Released v2.4.0.
% 0.04/0.13 % Command : run_spass %d %s
% 0.13/0.33 % Computer : n007.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 : Fri Jun 17 23:48:27 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.42
% 0.19/0.42 SPASS V 3.9
% 0.19/0.42 SPASS beiseite: Proof found.
% 0.19/0.42 % SZS status Theorem
% 0.19/0.42 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.42 SPASS derived 40 clauses, backtracked 0 clauses, performed 2 splits and kept 69 clauses.
% 0.19/0.42 SPASS allocated 75703 KBytes.
% 0.19/0.42 SPASS spent 0:00:00.07 on the problem.
% 0.19/0.42 0:00:00.03 for the input.
% 0.19/0.42 0:00:00.00 for the FLOTTER CNF translation.
% 0.19/0.42 0:00:00.00 for inferences.
% 0.19/0.42 0:00:00.00 for the backtracking.
% 0.19/0.42 0:00:00.01 for the reduction.
% 0.19/0.42
% 0.19/0.42
% 0.19/0.42 Here is a proof with depth 2, length 14 :
% 0.19/0.42 % SZS output start Refutation
% See solution above
% 0.19/0.42 Formulae used in the proof : part_of_antisymmetry_67 part_of_antisymmetry_68 part_of_antisymmetry_69 part_of_defn_1 c9_45 c9_48
% 0.19/0.42
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