TSTP Solution File: LCL821-1 by SPASS---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : LCL821-1 : 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 : Sun Jul 17 14:40:19 EDT 2022
% Result : Unsatisfiable 0.16s 0.47s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 4
% Syntax : Number of clauses : 7 ( 5 unt; 0 nHn; 7 RR)
% Number of literals : 9 ( 0 equ; 5 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 2 prp; 0-3 aty)
% Number of functors : 17 ( 17 usr; 13 con; 0-5 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(324,axiom,
( ~ c_Type_Otyping(u,c_List_Ofoldl(c_Lambda_OdB_OApp,v,w,tc_Lambda_OdB,tc_Lambda_OdB),x)
| c_Type_Otypings(u,w,c_Type_Osko__Type__Xlist__app__typeD__1__1(x,u,v,w)) ),
file('LCL821-1.p',unknown),
[] ).
cnf(344,axiom,
c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(v_n____),v_rs____,tc_Lambda_OdB,tc_Lambda_OdB),v_T_H____),
file('LCL821-1.p',unknown),
[] ).
cnf(366,axiom,
~ v_thesis____,
file('LCL821-1.p',unknown),
[] ).
cnf(367,axiom,
( ~ c_Type_Otypings(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),v_rs____,u)
| v_thesis____ ),
file('LCL821-1.p',unknown),
[] ).
cnf(368,plain,
~ c_Type_Otypings(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),v_rs____,u),
inference(mrr,[status(thm)],[367,366]),
[iquote('0:MRR:367.1,366.0')] ).
cnf(404,plain,
~ c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),c_List_Ofoldl(c_Lambda_OdB_OApp,u,v_rs____,tc_Lambda_OdB,tc_Lambda_OdB),v),
inference(res,[status(thm),theory(equality)],[324,368]),
[iquote('0:Res:324.1,368.0')] ).
cnf(408,plain,
$false,
inference(unc,[status(thm)],[404,344]),
[iquote('0:UnC:404.0,344.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.11 % Problem : LCL821-1 : TPTP v8.1.0. Released v4.1.0.
% 0.02/0.12 % Command : run_spass %d %s
% 0.12/0.31 % Computer : n009.cluster.edu
% 0.12/0.31 % Model : x86_64 x86_64
% 0.12/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.31 % Memory : 8042.1875MB
% 0.12/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.31 % CPULimit : 300
% 0.16/0.31 % WCLimit : 600
% 0.16/0.31 % DateTime : Sat Jul 2 17:32:22 EDT 2022
% 0.16/0.31 % CPUTime :
% 0.16/0.47
% 0.16/0.47 SPASS V 3.9
% 0.16/0.47 SPASS beiseite: Proof found.
% 0.16/0.47 % SZS status Theorem
% 0.16/0.47 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.16/0.47 SPASS derived 6 clauses, backtracked 0 clauses, performed 0 splits and kept 299 clauses.
% 0.16/0.47 SPASS allocated 76277 KBytes.
% 0.16/0.47 SPASS spent 0:00:00.15 on the problem.
% 0.16/0.47 0:00:00.05 for the input.
% 0.16/0.47 0:00:00.00 for the FLOTTER CNF translation.
% 0.16/0.47 0:00:00.00 for inferences.
% 0.16/0.47 0:00:00.00 for the backtracking.
% 0.16/0.47 0:00:00.06 for the reduction.
% 0.16/0.47
% 0.16/0.47
% 0.16/0.47 Here is a proof with depth 1, length 7 :
% 0.16/0.47 % SZS output start Refutation
% See solution above
% 0.16/0.47 Formulae used in the proof : cls_list__app__typeD_1 cls_CHAINED_0 cls_conjecture_0 cls_conjecture_1
% 0.16/0.47
%------------------------------------------------------------------------------