TSTP Solution File: LCL828-1 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : LCL828-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n024.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 : Sun Jul 17 14:40:23 EDT 2022
% Result : Unsatisfiable 0.19s 0.49s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 5
% Syntax : Number of clauses : 9 ( 6 unt; 0 nHn; 9 RR)
% Number of literals : 15 ( 0 equ; 9 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 11 con; 0-4 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(65,axiom,
c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),v_a____,v_Ua____),
file('LCL828-1.p',unknown),
[] ).
cnf(66,axiom,
( ~ c_InductTermi_OIT(u)
| ~ c_Type_Otyping(v,u,v_T____)
| ~ c_Type_Otyping(c_Type_Oshift(v,w,v_T____,tc_Type_Otype),v_a____,x)
| c_InductTermi_OIT(c_Lambda_Osubst(v_a____,u,w)) ),
file('LCL828-1.p',unknown),
[] ).
cnf(67,axiom,
c_InductTermi_OIT(v_u____),
file('LCL828-1.p',unknown),
[] ).
cnf(68,axiom,
c_Type_Otyping(v_e____,v_u____,v_T____),
file('LCL828-1.p',unknown),
[] ).
cnf(75,axiom,
~ c_InductTermi_OIT(c_Lambda_Osubst(v_a____,v_u____,v_i____)),
file('LCL828-1.p',unknown),
[] ).
cnf(494,plain,
( ~ c_InductTermi_OIT(u)
| ~ c_Type_Otyping(v_e____,u,v_T____)
| c_InductTermi_OIT(c_Lambda_Osubst(v_a____,u,v_i____)) ),
inference(res,[status(thm),theory(equality)],[65,66]),
[iquote('0:Res:65.0,66.2')] ).
cnf(508,plain,
( ~ c_InductTermi_OIT(v_u____)
| ~ c_Type_Otyping(v_e____,v_u____,v_T____) ),
inference(res,[status(thm),theory(equality)],[494,75]),
[iquote('0:Res:494.2,75.0')] ).
cnf(509,plain,
~ c_Type_Otyping(v_e____,v_u____,v_T____),
inference(ssi,[status(thm)],[508,67]),
[iquote('0:SSi:508.0,67.0')] ).
cnf(510,plain,
$false,
inference(mrr,[status(thm)],[509,68]),
[iquote('0:MRR:509.0,68.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : LCL828-1 : TPTP v8.1.0. Released v4.1.0.
% 0.03/0.13 % Command : run_spass %d %s
% 0.12/0.34 % Computer : n024.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Mon Jul 4 02:04:14 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.49
% 0.19/0.49 SPASS V 3.9
% 0.19/0.49 SPASS beiseite: Proof found.
% 0.19/0.49 % SZS status Theorem
% 0.19/0.49 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.49 SPASS derived 423 clauses, backtracked 0 clauses, performed 0 splits and kept 278 clauses.
% 0.19/0.49 SPASS allocated 76188 KBytes.
% 0.19/0.49 SPASS spent 0:00:00.13 on the problem.
% 0.19/0.49 0:00:00.04 for the input.
% 0.19/0.49 0:00:00.00 for the FLOTTER CNF translation.
% 0.19/0.49 0:00:00.01 for inferences.
% 0.19/0.49 0:00:00.00 for the backtracking.
% 0.19/0.49 0:00:00.05 for the reduction.
% 0.19/0.49
% 0.19/0.49
% 0.19/0.49 Here is a proof with depth 2, length 9 :
% 0.19/0.49 % SZS output start Refutation
% See solution above
% 0.19/0.49 Formulae used in the proof : cls_CHAINED_0 cls_CHAINED_0_01 cls_CHAINED_0_02 cls_CHAINED_0_03 cls_conjecture_0
% 0.19/0.49
%------------------------------------------------------------------------------