TSTP Solution File: SCT105+1 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SCT105+1 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n018.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 : Mon Jul 18 22:13:30 EDT 2022
% Result : Theorem 1.93s 2.15s
% Output : Refutation 1.93s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 12
% Syntax : Number of clauses : 30 ( 13 unt; 8 nHn; 30 RR)
% Number of literals : 60 ( 0 equ; 28 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 2 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 10 con; 0-4 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(21,axiom,
~ equal(skc11,skc10),
file('SCT105+1.p',unknown),
[] ).
cnf(22,axiom,
~ equal(skc8,skc7),
file('SCT105+1.p',unknown),
[] ).
cnf(23,axiom,
( c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_L)
| skC0 ),
file('SCT105+1.p',unknown),
[] ).
cnf(28,axiom,
( ~ skC0
| c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_L) ),
file('SCT105+1.p',unknown),
[] ).
cnf(180,axiom,
( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,u,u),v_L)
| skC0 ),
file('SCT105+1.p',unknown),
[] ).
cnf(217,axiom,
( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,u,u),v_L)
| ~ skC0 ),
file('SCT105+1.p',unknown),
[] ).
cnf(580,axiom,
( equal(u,v)
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,u,v),v_L)
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v,u),v_L)
| skC0 ),
file('SCT105+1.p',unknown),
[] ).
cnf(593,axiom,
( ~ skC0
| equal(u,v)
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v,u),v_L)
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,u,v),v_L) ),
file('SCT105+1.p',unknown),
[] ).
cnf(607,axiom,
( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,skc10,skc11),v_L)
| ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_L)
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,skc9,skc9),v_L)
| skC0 ),
file('SCT105+1.p',unknown),
[] ).
cnf(608,axiom,
( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,skc11,skc10),v_L)
| ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_L)
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,skc9,skc9),v_L)
| skC0 ),
file('SCT105+1.p',unknown),
[] ).
cnf(620,axiom,
( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,skc8,skc7),v_L)
| ~ skC0
| ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_L)
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,skc6,skc6),v_L) ),
file('SCT105+1.p',unknown),
[] ).
cnf(621,axiom,
( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,skc7,skc8),v_L)
| ~ skC0
| ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_L)
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,skc6,skc6),v_L) ),
file('SCT105+1.p',unknown),
[] ).
cnf(757,plain,
c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_L),
inference(mrr,[status(thm)],[28,23]),
[iquote('0:MRR:28.0,23.1')] ).
cnf(767,plain,
~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,u,u),v_L),
inference(mrr,[status(thm)],[217,180]),
[iquote('0:MRR:217.1,180.1')] ).
cnf(782,plain,
( equal(u,v)
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,u,v),v_L)
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v,u),v_L) ),
inference(mrr,[status(thm)],[593,580]),
[iquote('0:MRR:593.0,580.3')] ).
cnf(783,plain,
( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,skc10,skc11),v_L)
| skC0 ),
inference(mrr,[status(thm)],[607,757,767]),
[iquote('0:MRR:607.1,607.2,757.0,767.0')] ).
cnf(784,plain,
( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,skc11,skc10),v_L)
| skC0 ),
inference(mrr,[status(thm)],[608,757,767]),
[iquote('0:MRR:608.1,608.2,757.0,767.0')] ).
cnf(785,plain,
( ~ skC0
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,skc8,skc7),v_L) ),
inference(mrr,[status(thm)],[620,757,767]),
[iquote('0:MRR:620.2,620.3,757.0,767.0')] ).
cnf(786,plain,
( ~ skC0
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,skc7,skc8),v_L) ),
inference(mrr,[status(thm)],[621,757,767]),
[iquote('0:MRR:621.2,621.3,757.0,767.0')] ).
cnf(1018,plain,
( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,skc7,skc8),v_L)
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,skc8,skc7),v_L) ),
inference(res,[status(thm),theory(equality)],[782,22]),
[iquote('0:Res:782.0,22.0')] ).
cnf(1019,plain,
( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,skc10,skc11),v_L)
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,skc11,skc10),v_L) ),
inference(res,[status(thm),theory(equality)],[782,21]),
[iquote('0:Res:782.0,21.0')] ).
cnf(1070,plain,
skC0,
inference(spt,[spt(split,[position(s1)])],[783]),
[iquote('1:Spt:783.1')] ).
cnf(1071,plain,
~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,skc8,skc7),v_L),
inference(mrr,[status(thm)],[785,1070]),
[iquote('1:MRR:785.0,1070.0')] ).
cnf(1072,plain,
~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,skc7,skc8),v_L),
inference(mrr,[status(thm)],[786,1070]),
[iquote('1:MRR:786.0,1070.0')] ).
cnf(1073,plain,
c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,skc7,skc8),v_L),
inference(mrr,[status(thm)],[1018,1071]),
[iquote('1:MRR:1018.1,1071.0')] ).
cnf(1074,plain,
$false,
inference(mrr,[status(thm)],[1072,1073]),
[iquote('1:MRR:1072.0,1073.0')] ).
cnf(1075,plain,
~ skC0,
inference(spt,[spt(split,[position(sa)])],[1074,1070]),
[iquote('1:Spt:1074.0,783.1,1070.0')] ).
cnf(1076,plain,
~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,skc10,skc11),v_L),
inference(spt,[spt(split,[position(s2)])],[783]),
[iquote('1:Spt:1074.0,783.0')] ).
cnf(1077,plain,
c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,skc11,skc10),v_L),
inference(mrr,[status(thm)],[1019,1076]),
[iquote('1:MRR:1019.0,1076.0')] ).
cnf(1078,plain,
$false,
inference(mrr,[status(thm)],[784,1077,1075]),
[iquote('1:MRR:784.0,784.1,1077.0,1075.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SCT105+1 : TPTP v8.1.0. Released v5.2.0.
% 0.04/0.13 % Command : run_spass %d %s
% 0.13/0.34 % Computer : n018.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 Jul 2 02:21:48 EDT 2022
% 0.13/0.34 % CPUTime :
% 1.93/2.15
% 1.93/2.15 SPASS V 3.9
% 1.93/2.15 SPASS beiseite: Proof found.
% 1.93/2.15 % SZS status Theorem
% 1.93/2.15 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.93/2.15 SPASS derived 238 clauses, backtracked 6 clauses, performed 1 splits and kept 787 clauses.
% 1.93/2.15 SPASS allocated 110648 KBytes.
% 1.93/2.15 SPASS spent 0:00:01.78 on the problem.
% 1.93/2.15 0:00:00.05 for the input.
% 1.93/2.15 0:00:01.40 for the FLOTTER CNF translation.
% 1.93/2.15 0:00:00.00 for inferences.
% 1.93/2.15 0:00:00.00 for the backtracking.
% 1.93/2.15 0:00:00.12 for the reduction.
% 1.93/2.15
% 1.93/2.15
% 1.93/2.15 Here is a proof with depth 1, length 30 :
% 1.93/2.15 % SZS output start Refutation
% See solution above
% 1.93/2.15 Formulae used in the proof : conj_0 fact_insert__not__empty
% 1.93/2.15
%------------------------------------------------------------------------------