%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : LCL827-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n011.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Mon Sep 7 01:08:32 PM UTC 2026
% Result : Unsatisfiable 0.32s 0.58s
% Output : Refutation 0.32s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 3
% Syntax : Number of clauses : 5 ( 4 unt; 0 nHn; 5 RR)
% Number of literals : 6 ( 0 equ; 3 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 8 ( 3 avg)
% Number of predicates : 3 ( 2 usr; 2 prp; 0-1 aty)
% Number of functors : 10 ( 10 usr; 7 con; 0-4 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(367,axiom,
hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,hAPP(hAPP(hAPP(c_Type_Oshift(tc_Type_Otype),v_e____),v_i____),v_T____)),v_a____),v_sko__CHAINED__1(v_T____,v_a____,v_e____,v_i____))),
file('LCL827-1.p',unknown),
[] ).
cnf(392,axiom,
~ v_thesis____,
file('LCL827-1.p',unknown),
[] ).
cnf(393,axiom,
( ~ hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,hAPP(hAPP(hAPP(c_Type_Oshift(tc_Type_Otype),v_e____),v_i____),v_T____)),v_a____),u))
| v_thesis____ ),
file('LCL827-1.p',unknown),
[] ).
cnf(402,plain,
~ hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,hAPP(hAPP(hAPP(c_Type_Oshift(tc_Type_Otype),v_e____),v_i____),v_T____)),v_a____),u)),
inference(mrr,[status(thm)],[393,392]),
[iquote('0:MRR:393.1,392.0')] ).
cnf(408,plain,
$false,
inference(mrr,[status(thm)],[367,402]),
[iquote('0:MRR:367.0,402.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL827-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : run_spass %d %s
% 0.10/0.37 % Computer : n011.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sat Sep 5 16:27:44 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.32/0.58
% 0.32/0.58 SPASS V 3.9
% 0.32/0.58 SPASS beiseite: Proof found.
% 0.32/0.58 % SZS status Theorem
% 0.32/0.58 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.32/0.58 SPASS derived 2 clauses, backtracked 0 clauses, performed 0 splits and kept 197 clauses.
% 0.32/0.58 SPASS allocated 77132 KBytes.
% 0.32/0.58 SPASS spent 0:00:00.18 on the problem.
% 0.32/0.58 0:00:00.07 for the input.
% 0.32/0.58 0:00:00.00 for the FLOTTER CNF translation.
% 0.32/0.58 0:00:00.00 for inferences.
% 0.32/0.58 0:00:00.00 for the backtracking.
% 0.32/0.58 0:00:00.04 for the reduction.
% 0.32/0.58
% 0.32/0.58
% 0.32/0.58 Here is a proof with depth 0, length 5 :
% 0.32/0.58 % SZS output start Refutation
% See solution above
% 0.32/0.58 Formulae used in the proof : cls_CHAINED_1 cls_conjecture_0 cls_conjecture_1
% 0.32/0.58
%------------------------------------------------------------------------------