%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : LCL807-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n006.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 01:08:28 PM UTC 2026
% Result : Unsatisfiable 0.21s 0.55s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 4
% Syntax : Number of clauses : 8 ( 6 unt; 0 nHn; 8 RR)
% Number of literals : 10 ( 0 equ; 4 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 8 ( 3 avg)
% Number of predicates : 4 ( 3 usr; 2 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 8 con; 0-4 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(234,axiom,
equal(v_i____,v_n____),
file('LCL807-1.p',unknown),
[] ).
cnf(248,axiom,
hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,hAPP(hAPP(hAPP(c_Type_Oshift(tc_Type_Otype),v_e____),v_i____),v_T____)),v_b____),v_sko__CHAINED__1(v_T____,v_b____,v_e____,v_i____))),
file('LCL807-1.p',unknown),
[] ).
cnf(272,axiom,
~ v_thesis____,
file('LCL807-1.p',unknown),
[] ).
cnf(273,axiom,
( ~ hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,hAPP(hAPP(hAPP(c_Type_Oshift(tc_Type_Otype),v_e____),v_i____),v_T____)),v_b____),u))
| v_thesis____ ),
file('LCL807-1.p',unknown),
[] ).
cnf(277,plain,
( ~ hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,hAPP(hAPP(hAPP(c_Type_Oshift(tc_Type_Otype),v_e____),v_n____),v_T____)),v_b____),u))
| v_thesis____ ),
inference(rew,[status(thm),theory(equality)],[234,273]),
[iquote('0:Rew:234.0,273.0')] ).
cnf(278,plain,
~ hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,hAPP(hAPP(hAPP(c_Type_Oshift(tc_Type_Otype),v_e____),v_n____),v_T____)),v_b____),u)),
inference(mrr,[status(thm)],[277,272]),
[iquote('0:MRR:277.1,272.0')] ).
cnf(281,plain,
hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,hAPP(hAPP(hAPP(c_Type_Oshift(tc_Type_Otype),v_e____),v_n____),v_T____)),v_b____),v_sko__CHAINED__1(v_T____,v_b____,v_e____,v_n____))),
inference(rew,[status(thm),theory(equality)],[234,248]),
[iquote('0:Rew:234.0,248.0')] ).
cnf(282,plain,
$false,
inference(mrr,[status(thm)],[281,278]),
[iquote('0:MRR:281.0,278.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL807-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : run_spass %d %s
% 0.09/0.36 % Computer : n006.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sat Sep 5 21:43:31 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.21/0.55
% 0.21/0.55 SPASS V 3.9
% 0.21/0.55 SPASS beiseite: Proof found.
% 0.21/0.55 % SZS status Theorem
% 0.21/0.55 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.55 SPASS derived 0 clauses, backtracked 0 clauses, performed 0 splits and kept 128 clauses.
% 0.21/0.55 SPASS allocated 76970 KBytes.
% 0.21/0.55 SPASS spent 0:00:00.16 on the problem.
% 0.21/0.55 0:00:00.07 for the input.
% 0.21/0.55 0:00:00.00 for the FLOTTER CNF translation.
% 0.21/0.55 0:00:00.00 for inferences.
% 0.21/0.55 0:00:00.00 for the backtracking.
% 0.21/0.55 0:00:00.02 for the reduction.
% 0.21/0.55
% 0.21/0.55
% 0.21/0.55 Here is a proof with depth 0, length 8 :
% 0.21/0.55 % SZS output start Refutation
% See solution above
% 0.21/0.55 Formulae used in the proof : cls_True_0 cls_CHAINED_1 cls_conjecture_0 cls_conjecture_1
% 0.21/0.55
%------------------------------------------------------------------------------