%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : ALG194+1 : TPTP v9.3.1. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n020.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 : Fri Sep 25 12:51:53 PM UTC 2026
% Result : Theorem 6.26s 1.24s
% Output : Proof 6.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 32
% Number of leaves : 1
% Syntax : Number of formulae : 58 ( 9 unt; 0 def)
% Number of atoms : 295 ( 294 equ)
% Maximal formula atoms : 28 ( 5 avg)
% Number of connectives : 390 ( 153 ~; 183 |; 54 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 7 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5,conjecture,
( ( ( op(e6,e6) != e6
| op(e5,e5) != e5
| op(e4,e4) != e4
| op(e3,e3) != e3
| op(e2,e2) != e2
| op(e1,e1) != e1
| op(e0,e0) != e0 )
& ( op(e6,e6) = e6
| op(e5,e5) = e5
| op(e4,e4) = e4
| op(e3,e3) = e3
| op(e2,e2) = e2
| op(e1,e1) = e1
| op(e0,e0) = e0 ) )
| ( op(e6,e6) = e6
& op(e5,e5) = e5
& op(e4,e4) = e4
& op(e3,e3) = e3
& op(e2,e2) = e2
& op(e1,e1) = e1
& op(e0,e0) = e0 )
| ( op(e6,e6) != e6
& op(e5,e5) != e5
& op(e4,e4) != e4
& op(e3,e3) != e3
& op(e2,e2) != e2
& op(e1,e1) != e1
& op(e0,e0) != e0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
fof(f5_neg,negated_conjecture,
~ ( ( ( op(e6,e6) != e6
| op(e5,e5) != e5
| op(e4,e4) != e4
| op(e3,e3) != e3
| op(e2,e2) != e2
| op(e1,e1) != e1
| op(e0,e0) != e0 )
& ( op(e6,e6) = e6
| op(e5,e5) = e5
| op(e4,e4) = e4
| op(e3,e3) = e3
| op(e2,e2) = e2
| op(e1,e1) = e1
| op(e0,e0) = e0 ) )
| ( op(e6,e6) = e6
& op(e5,e5) = e5
& op(e4,e4) = e4
& op(e3,e3) = e3
& op(e2,e2) = e2
& op(e1,e1) = e1
& op(e0,e0) = e0 )
| ( op(e6,e6) != e6
& op(e5,e5) != e5
& op(e4,e4) != e4
& op(e3,e3) != e3
& op(e2,e2) != e2
& op(e1,e1) != e1
& op(e0,e0) != e0 ) ),
inference(negated_conjecture,[status(cth)],[f5]) ).
fof(f5_nnf,plain,
( ( ( op(e6,e6) = e6
& op(e5,e5) = e5
& op(e4,e4) = e4
& op(e3,e3) = e3
& op(e2,e2) = e2
& op(e1,e1) = e1
& op(e0,e0) = e0 )
| ( op(e6,e6) != e6
& op(e5,e5) != e5
& op(e4,e4) != e4
& op(e3,e3) != e3
& op(e2,e2) != e2
& op(e1,e1) != e1
& op(e0,e0) != e0 ) )
& ( op(e6,e6) != e6
| op(e5,e5) != e5
| op(e4,e4) != e4
| op(e3,e3) != e3
| op(e2,e2) != e2
| op(e1,e1) != e1
| op(e0,e0) != e0 )
& ( op(e6,e6) = e6
| op(e5,e5) = e5
| op(e4,e4) = e4
| op(e3,e3) = e3
| op(e2,e2) = e2
| op(e1,e1) = e1
| op(e0,e0) = e0 ) ),
inference(nnf_transformation,[status(thm)],[f5_neg]) ).
fof(f5_sk,plain,
( ( ( op(e6,e6) = e6
& op(e5,e5) = e5
& op(e4,e4) = e4
& op(e3,e3) = e3
& op(e2,e2) = e2
& op(e1,e1) = e1
& op(e0,e0) = e0 )
| ( op(e6,e6) != e6
& op(e5,e5) != e5
& op(e4,e4) != e4
& op(e3,e3) != e3
& op(e2,e2) != e2
& op(e1,e1) != e1
& op(e0,e0) != e0 ) )
& ( op(e6,e6) != e6
| op(e5,e5) != e5
| op(e4,e4) != e4
| op(e3,e3) != e3
| op(e2,e2) != e2
| op(e1,e1) != e1
| op(e0,e0) != e0 )
& ( op(e6,e6) = e6
| op(e5,e5) = e5
| op(e4,e4) = e4
| op(e3,e3) = e3
| op(e2,e2) = e2
| op(e1,e1) = e1
| op(e0,e0) = e0 ) ),
inference(skolemisation,[status(esa)],[f5_nnf]) ).
cnf(c511,plain,
( op(e6,e6) = e6
| op(e5,e5) = e5
| op(e4,e4) = e4
| op(e3,e3) = e3
| op(e2,e2) = e2
| op(e1,e1) = e1
| op(e0,e0) = e0 ),
inference(cnf_transformation,[status(esa)],[f5_sk]) ).
cnf(c560,plain,
( op(e5,e5) = e5
| op(e6,e6) != e6 ),
inference(cnf_transformation,[status(esa)],[f5_sk]) ).
cnf(p565,plain,
( op(e5,e5) = e5
| op(e5,e5) = e5
| op(e4,e4) = e4
| op(e3,e3) = e3
| op(e2,e2) = e2
| op(e1,e1) = e1
| op(e0,e0) = e0 ),
inference(resolution,[status(thm)],[c511,c560]) ).
cnf(p567,plain,
( op(e5,e5) = e5
| op(e4,e4) = e4
| op(e3,e3) = e3
| op(e2,e2) = e2
| op(e1,e1) = e1
| op(e0,e0) = e0 ),
inference(factoring,[status(thm)],[p565]) ).
cnf(c554,plain,
( op(e6,e6) = e6
| op(e5,e5) != e5 ),
inference(cnf_transformation,[status(esa)],[f5_sk]) ).
cnf(p569,plain,
( op(e6,e6) = e6
| op(e4,e4) = e4
| op(e3,e3) = e3
| op(e2,e2) = e2
| op(e1,e1) = e1
| op(e0,e0) = e0 ),
inference(resolution,[status(thm)],[p567,c554]) ).
cnf(c555,plain,
( op(e0,e0) = e0
| op(e6,e6) != e6 ),
inference(cnf_transformation,[status(esa)],[f5_sk]) ).
cnf(p573,plain,
( op(e0,e0) = e0
| op(e4,e4) = e4
| op(e3,e3) = e3
| op(e2,e2) = e2
| op(e1,e1) = e1
| op(e0,e0) = e0 ),
inference(resolution,[status(thm)],[p569,c555]) ).
cnf(p574,plain,
( op(e4,e4) = e4
| op(e3,e3) = e3
| op(e2,e2) = e2
| op(e1,e1) = e1
| op(e0,e0) = e0 ),
inference(factoring,[status(thm)],[p573]) ).
cnf(c542,plain,
( op(e1,e1) = e1
| op(e4,e4) != e4 ),
inference(cnf_transformation,[status(esa)],[f5_sk]) ).
cnf(p575,plain,
( op(e1,e1) = e1
| op(e3,e3) = e3
| op(e2,e2) = e2
| op(e1,e1) = e1
| op(e0,e0) = e0 ),
inference(resolution,[status(thm)],[p574,c542]) ).
cnf(p576,plain,
( op(e3,e3) = e3
| op(e2,e2) = e2
| op(e1,e1) = e1
| op(e0,e0) = e0 ),
inference(factoring,[status(thm)],[p575]) ).
cnf(c534,plain,
( op(e0,e0) = e0
| op(e3,e3) != e3 ),
inference(cnf_transformation,[status(esa)],[f5_sk]) ).
cnf(p577,plain,
( op(e0,e0) = e0
| op(e2,e2) = e2
| op(e1,e1) = e1
| op(e0,e0) = e0 ),
inference(resolution,[status(thm)],[p576,c534]) ).
cnf(p589,plain,
( op(e2,e2) = e2
| op(e1,e1) = e1
| op(e0,e0) = e0 ),
inference(factoring,[status(thm)],[p577]) ).
cnf(c528,plain,
( op(e1,e1) = e1
| op(e2,e2) != e2 ),
inference(cnf_transformation,[status(esa)],[f5_sk]) ).
cnf(p593,plain,
( op(e1,e1) = e1
| op(e1,e1) = e1
| op(e0,e0) = e0 ),
inference(resolution,[status(thm)],[p589,c528]) ).
cnf(p612,plain,
( op(e1,e1) = e1
| op(e0,e0) = e0 ),
inference(factoring,[status(thm)],[p593]) ).
cnf(c520,plain,
( op(e0,e0) = e0
| op(e1,e1) != e1 ),
inference(cnf_transformation,[status(esa)],[f5_sk]) ).
cnf(p617,plain,
( op(e0,e0) = e0
| op(e0,e0) = e0 ),
inference(resolution,[status(thm)],[p612,c520]) ).
cnf(p641,plain,
op(e0,e0) = e0,
inference(factoring,[status(thm)],[p617]) ).
cnf(c519,plain,
( op(e6,e6) = e6
| op(e0,e0) != e0 ),
inference(cnf_transformation,[status(esa)],[f5_sk]) ).
cnf(p673,plain,
( op(e6,e6) = e6
| e0 != e0 ),
inference(demodulation,[status(thm)],[p641,c519]) ).
cnf(p824,plain,
op(e6,e6) = e6,
inference(equality_resolution,[status(thm)],[p673]) ).
cnf(c518,plain,
( op(e5,e5) = e5
| op(e0,e0) != e0 ),
inference(cnf_transformation,[status(esa)],[f5_sk]) ).
cnf(p672,plain,
( op(e5,e5) = e5
| e0 != e0 ),
inference(demodulation,[status(thm)],[p641,c518]) ).
cnf(p796,plain,
op(e5,e5) = e5,
inference(equality_resolution,[status(thm)],[p672]) ).
cnf(c517,plain,
( op(e4,e4) = e4
| op(e0,e0) != e0 ),
inference(cnf_transformation,[status(esa)],[f5_sk]) ).
cnf(p671,plain,
( op(e4,e4) = e4
| e0 != e0 ),
inference(demodulation,[status(thm)],[p641,c517]) ).
cnf(p767,plain,
op(e4,e4) = e4,
inference(equality_resolution,[status(thm)],[p671]) ).
cnf(c516,plain,
( op(e3,e3) = e3
| op(e0,e0) != e0 ),
inference(cnf_transformation,[status(esa)],[f5_sk]) ).
cnf(p670,plain,
( op(e3,e3) = e3
| e0 != e0 ),
inference(demodulation,[status(thm)],[p641,c516]) ).
cnf(p737,plain,
op(e3,e3) = e3,
inference(equality_resolution,[status(thm)],[p670]) ).
cnf(c515,plain,
( op(e2,e2) = e2
| op(e0,e0) != e0 ),
inference(cnf_transformation,[status(esa)],[f5_sk]) ).
cnf(p669,plain,
( op(e2,e2) = e2
| e0 != e0 ),
inference(demodulation,[status(thm)],[p641,c515]) ).
cnf(p706,plain,
op(e2,e2) = e2,
inference(equality_resolution,[status(thm)],[p669]) ).
cnf(c514,plain,
( op(e1,e1) = e1
| op(e0,e0) != e0 ),
inference(cnf_transformation,[status(esa)],[f5_sk]) ).
cnf(p668,plain,
( op(e1,e1) = e1
| e0 != e0 ),
inference(demodulation,[status(thm)],[p641,c514]) ).
cnf(p674,plain,
op(e1,e1) = e1,
inference(equality_resolution,[status(thm)],[p668]) ).
cnf(c512,plain,
( op(e6,e6) != e6
| op(e5,e5) != e5
| op(e4,e4) != e4
| op(e3,e3) != e3
| op(e2,e2) != e2
| op(e1,e1) != e1
| op(e0,e0) != e0 ),
inference(cnf_transformation,[status(esa)],[f5_sk]) ).
cnf(p667,plain,
( op(e6,e6) != e6
| op(e5,e5) != e5
| op(e4,e4) != e4
| op(e3,e3) != e3
| op(e2,e2) != e2
| op(e1,e1) != e1
| e0 != e0 ),
inference(demodulation,[status(thm)],[p641,c512]) ).
cnf(p705,plain,
( op(e6,e6) != e6
| op(e5,e5) != e5
| op(e4,e4) != e4
| op(e3,e3) != e3
| op(e2,e2) != e2
| e1 != e1
| e0 != e0 ),
inference(demodulation,[status(thm)],[p674,p667]) ).
cnf(p736,plain,
( op(e6,e6) != e6
| op(e5,e5) != e5
| op(e4,e4) != e4
| op(e3,e3) != e3
| e2 != e2
| e1 != e1
| e0 != e0 ),
inference(demodulation,[status(thm)],[p706,p705]) ).
cnf(p766,plain,
( op(e6,e6) != e6
| op(e5,e5) != e5
| op(e4,e4) != e4
| e3 != e3
| e2 != e2
| e1 != e1
| e0 != e0 ),
inference(demodulation,[status(thm)],[p737,p736]) ).
cnf(p795,plain,
( op(e6,e6) != e6
| op(e5,e5) != e5
| e4 != e4
| e3 != e3
| e2 != e2
| e1 != e1
| e0 != e0 ),
inference(demodulation,[status(thm)],[p767,p766]) ).
cnf(p823,plain,
( op(e6,e6) != e6
| e5 != e5
| e4 != e4
| e3 != e3
| e2 != e2
| e1 != e1
| e0 != e0 ),
inference(demodulation,[status(thm)],[p796,p795]) ).
cnf(p850,plain,
( e6 != e6
| e5 != e5
| e4 != e4
| e3 != e3
| e2 != e2
| e1 != e1
| e0 != e0 ),
inference(demodulation,[status(thm)],[p824,p823]) ).
cnf(p851,plain,
( e6 != e6
| e5 != e5
| e4 != e4
| e3 != e3
| e2 != e2
| e1 != e1 ),
inference(equality_resolution,[status(thm)],[p850]) ).
cnf(p858,plain,
( e6 != e6
| e5 != e5
| e4 != e4
| e3 != e3
| e2 != e2 ),
inference(equality_resolution,[status(thm)],[p851]) ).
cnf(p864,plain,
( e6 != e6
| e5 != e5
| e4 != e4
| e3 != e3 ),
inference(equality_resolution,[status(thm)],[p858]) ).
cnf(p869,plain,
( e6 != e6
| e5 != e5
| e4 != e4 ),
inference(equality_resolution,[status(thm)],[p864]) ).
cnf(p873,plain,
( e6 != e6
| e5 != e5 ),
inference(equality_resolution,[status(thm)],[p869]) ).
cnf(p876,plain,
e6 != e6,
inference(equality_resolution,[status(thm)],[p873]) ).
cnf(p878,plain,
$false,
inference(equality_resolution,[status(thm)],[p876]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ALG194+1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.08/0.35 % Computer : n020.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Fri Sep 25 05:02:33 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.35 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 6.26/1.24 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.26/1.24 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------