TSTP Solution File: SCT070-1 by SPASS---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SCT070-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n009.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 22:13:19 EDT 2022
% Result : Unsatisfiable 0.47s 0.66s
% Output : Refutation 0.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 10
% Syntax : Number of clauses : 41 ( 11 unt; 20 nHn; 41 RR)
% Number of literals : 104 ( 0 equ; 46 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 7 con; 0-4 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(657,axiom,
( ~ equal(v_a_H____,v_b____)
| ~ equal(v_b_H____,v_a____)
| ~ c_in(c_Pair(v_a_H____,v_b_H____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P_H____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
| c_in(c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) ),
file('SCT070-1.p',unknown),
[] ).
cnf(658,axiom,
( ~ equal(v_a_H____,v_b____)
| ~ equal(v_b_H____,v_a____)
| ~ c_in(c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
| c_in(c_Pair(v_a_H____,v_b_H____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P_H____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) ),
file('SCT070-1.p',unknown),
[] ).
cnf(659,axiom,
( ~ equal(v_a_H____,v_b____)
| ~ c_in(c_Pair(v_a_H____,v_b_H____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P_H____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
| equal(v_b_H____,v_a____)
| c_in(c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) ),
file('SCT070-1.p',unknown),
[] ).
cnf(660,axiom,
( ~ equal(v_a_H____,v_b____)
| ~ c_in(c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
| equal(v_b_H____,v_a____)
| c_in(c_Pair(v_a_H____,v_b_H____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P_H____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) ),
file('SCT070-1.p',unknown),
[] ).
cnf(661,axiom,
( ~ equal(v_b_H____,v_a____)
| ~ c_in(c_Pair(v_a_H____,v_b_H____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P_H____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
| c_in(c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
| equal(v_a_H____,v_b____) ),
file('SCT070-1.p',unknown),
[] ).
cnf(662,axiom,
( ~ equal(v_b_H____,v_a____)
| ~ c_in(c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
| c_in(c_Pair(v_a_H____,v_b_H____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P_H____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
| equal(v_a_H____,v_b____) ),
file('SCT070-1.p',unknown),
[] ).
cnf(663,axiom,
( ~ c_in(c_Pair(v_a_H____,v_b_H____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P_H____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
| c_in(c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
| equal(v_a_H____,v_b____)
| equal(v_b_H____,v_a____) ),
file('SCT070-1.p',unknown),
[] ).
cnf(664,axiom,
( ~ c_in(c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
| c_in(c_Pair(v_a_H____,v_b_H____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P_H____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
| equal(v_a_H____,v_b____)
| equal(v_b_H____,v_a____) ),
file('SCT070-1.p',unknown),
[] ).
cnf(687,axiom,
( ~ c_in(c_Pair(v_a_H____,v_b_H____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P_H____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
| ~ c_in(c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) ),
file('SCT070-1.p',unknown),
[] ).
cnf(688,axiom,
( c_in(c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
| c_in(c_Pair(v_a_H____,v_b_H____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P_H____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) ),
file('SCT070-1.p',unknown),
[] ).
cnf(731,plain,
( c_in(c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
| equal(v_a_H____,v_b____)
| equal(v_b_H____,v_a____) ),
inference(mrr,[status(thm)],[663,688]),
[iquote('0:MRR:663.0,688.1')] ).
cnf(732,plain,
( c_in(c_Pair(v_a_H____,v_b_H____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P_H____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
| equal(v_a_H____,v_b____)
| equal(v_b_H____,v_a____) ),
inference(mrr,[status(thm)],[664,731]),
[iquote('0:MRR:664.0,731.0')] ).
cnf(733,plain,
( ~ equal(v_b____,v_b____)
| ~ c_in(c_Pair(v_b____,v_b_H____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P_H____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
| equal(v_b_H____,v_a____)
| c_in(c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) ),
inference(rew,[status(thm),theory(equality)],[731,659]),
[iquote('0:Rew:731.1,659.1,731.1,659.0')] ).
cnf(734,plain,
( ~ c_in(c_Pair(v_b____,v_b_H____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P_H____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
| equal(v_b_H____,v_a____)
| c_in(c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) ),
inference(obv,[status(thm),theory(equality)],[733]),
[iquote('0:Obv:733.0')] ).
cnf(735,plain,
( ~ equal(v_b____,v_b____)
| ~ c_in(c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
| equal(v_b_H____,v_a____)
| c_in(c_Pair(v_a_H____,v_b_H____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P_H____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) ),
inference(rew,[status(thm),theory(equality)],[732,660]),
[iquote('0:Rew:732.1,660.0')] ).
cnf(736,plain,
( ~ c_in(c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
| equal(v_b_H____,v_a____)
| c_in(c_Pair(v_a_H____,v_b_H____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P_H____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) ),
inference(obv,[status(thm),theory(equality)],[735]),
[iquote('0:Obv:735.0')] ).
cnf(737,plain,
( equal(v_b_H____,v_a____)
| c_in(c_Pair(v_a_H____,v_b_H____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P_H____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) ),
inference(mrr,[status(thm)],[736,688]),
[iquote('0:MRR:736.0,688.0')] ).
cnf(738,plain,
( ~ equal(v_a____,v_a____)
| ~ c_in(c_Pair(v_a_H____,v_a____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P_H____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
| c_in(c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
| equal(v_a_H____,v_b____) ),
inference(rew,[status(thm),theory(equality)],[731,661]),
[iquote('0:Rew:731.2,661.1,731.2,661.0')] ).
cnf(739,plain,
( ~ c_in(c_Pair(v_a_H____,v_a____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P_H____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
| c_in(c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
| equal(v_a_H____,v_b____) ),
inference(obv,[status(thm),theory(equality)],[738]),
[iquote('0:Obv:738.0')] ).
cnf(740,plain,
( ~ equal(v_a____,v_a____)
| ~ c_in(c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
| c_in(c_Pair(v_a_H____,v_b_H____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P_H____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
| equal(v_a_H____,v_b____) ),
inference(rew,[status(thm),theory(equality)],[737,662]),
[iquote('0:Rew:737.0,662.0')] ).
cnf(741,plain,
( ~ c_in(c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
| c_in(c_Pair(v_a_H____,v_b_H____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P_H____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
| equal(v_a_H____,v_b____) ),
inference(obv,[status(thm),theory(equality)],[740]),
[iquote('0:Obv:740.0')] ).
cnf(742,plain,
( c_in(c_Pair(v_a_H____,v_b_H____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P_H____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
| equal(v_a_H____,v_b____) ),
inference(mrr,[status(thm)],[741,688]),
[iquote('0:MRR:741.0,688.0')] ).
cnf(745,plain,
( ~ equal(v_a_H____,v_b____)
| ~ equal(v_b_H____,v_a____)
| c_in(c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) ),
inference(mrr,[status(thm)],[657,688]),
[iquote('0:MRR:657.2,688.1')] ).
cnf(746,plain,
( ~ equal(v_b____,v_b____)
| ~ equal(v_a____,v_a____)
| ~ c_in(c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
| c_in(c_Pair(v_a_H____,v_b_H____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P_H____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) ),
inference(rew,[status(thm),theory(equality)],[737,658,742]),
[iquote('0:Rew:737.0,658.1,742.1,658.0')] ).
cnf(747,plain,
( ~ c_in(c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
| c_in(c_Pair(v_a_H____,v_b_H____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P_H____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) ),
inference(obv,[status(thm),theory(equality)],[746]),
[iquote('0:Obv:746.1')] ).
cnf(748,plain,
c_in(c_Pair(v_a_H____,v_b_H____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P_H____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),
inference(mrr,[status(thm)],[747,688]),
[iquote('0:MRR:747.0,688.0')] ).
cnf(749,plain,
~ c_in(c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),
inference(mrr,[status(thm)],[687,748]),
[iquote('0:MRR:687.0,748.0')] ).
cnf(750,plain,
( equal(v_b_H____,v_a____)
| equal(v_a_H____,v_b____) ),
inference(mrr,[status(thm)],[731,749]),
[iquote('0:MRR:731.0,749.0')] ).
cnf(751,plain,
( ~ c_in(c_Pair(v_b____,v_b_H____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P_H____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
| equal(v_b_H____,v_a____) ),
inference(mrr,[status(thm)],[734,749]),
[iquote('0:MRR:734.2,749.0')] ).
cnf(752,plain,
( ~ c_in(c_Pair(v_a_H____,v_a____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P_H____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
| equal(v_a_H____,v_b____) ),
inference(mrr,[status(thm)],[739,749]),
[iquote('0:MRR:739.1,749.0')] ).
cnf(753,plain,
( ~ equal(v_b_H____,v_a____)
| ~ equal(v_a_H____,v_b____) ),
inference(mrr,[status(thm)],[745,749]),
[iquote('0:MRR:745.2,749.0')] ).
cnf(885,plain,
equal(v_b_H____,v_a____),
inference(spt,[spt(split,[position(s1)])],[750]),
[iquote('1:Spt:750.0')] ).
cnf(888,plain,
c_in(c_Pair(v_a_H____,v_a____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P_H____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),
inference(rew,[status(thm),theory(equality)],[885,748]),
[iquote('1:Rew:885.0,748.0')] ).
cnf(889,plain,
( ~ equal(v_a____,v_a____)
| ~ equal(v_a_H____,v_b____) ),
inference(rew,[status(thm),theory(equality)],[885,753]),
[iquote('1:Rew:885.0,753.0')] ).
cnf(906,plain,
~ equal(v_a_H____,v_b____),
inference(obv,[status(thm),theory(equality)],[889]),
[iquote('1:Obv:889.0')] ).
cnf(907,plain,
~ c_in(c_Pair(v_a_H____,v_a____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P_H____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),
inference(mrr,[status(thm)],[752,906]),
[iquote('1:MRR:752.1,906.0')] ).
cnf(908,plain,
$false,
inference(mrr,[status(thm)],[907,888]),
[iquote('1:MRR:907.0,888.0')] ).
cnf(909,plain,
~ equal(v_b_H____,v_a____),
inference(spt,[spt(split,[position(sa)])],[908,885]),
[iquote('1:Spt:908.0,750.0,885.0')] ).
cnf(910,plain,
equal(v_a_H____,v_b____),
inference(spt,[spt(split,[position(s2)])],[750]),
[iquote('1:Spt:908.0,750.1')] ).
cnf(915,plain,
c_in(c_Pair(v_b____,v_b_H____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P_H____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),
inference(rew,[status(thm),theory(equality)],[910,748]),
[iquote('1:Rew:910.0,748.0')] ).
cnf(917,plain,
$false,
inference(mrr,[status(thm)],[751,915,909]),
[iquote('1:MRR:751.0,751.1,915.0,909.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SCT070-1 : TPTP v8.1.0. Released v4.1.0.
% 0.06/0.13 % Command : run_spass %d %s
% 0.13/0.33 % Computer : n009.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 Jul 1 23:54:37 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.47/0.66
% 0.47/0.66 SPASS V 3.9
% 0.47/0.66 SPASS beiseite: Proof found.
% 0.47/0.66 % SZS status Theorem
% 0.47/0.66 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.47/0.66 SPASS derived 69 clauses, backtracked 24 clauses, performed 1 splits and kept 668 clauses.
% 0.47/0.66 SPASS allocated 77095 KBytes.
% 0.47/0.66 SPASS spent 0:00:00.32 on the problem.
% 0.47/0.66 0:00:00.06 for the input.
% 0.47/0.66 0:00:00.00 for the FLOTTER CNF translation.
% 0.47/0.66 0:00:00.00 for inferences.
% 0.47/0.66 0:00:00.00 for the backtracking.
% 0.47/0.66 0:00:00.16 for the reduction.
% 0.47/0.66
% 0.47/0.66
% 0.47/0.66 Here is a proof with depth 1, length 41 :
% 0.47/0.66 % SZS output start Refutation
% See solution above
% 0.47/0.68 Formulae used in the proof : cls_CHAINED_1 cls_CHAINED_0 cls_CHAINED_1_01 cls_CHAINED_0_02 cls_CHAINED_1_03 cls_CHAINED_0_04 cls_CHAINED_1_05 cls_CHAINED_0_06 cls_conjecture_0 cls_conjecture_1
% 0.47/0.68
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