%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : ALG199+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 : n003.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 12:51:54 PM UTC 2026
% Result : Theorem 7.34s 1.50s
% Output : Proof 7.34s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 1
% Syntax : Number of formulae : 20 ( 10 unt; 0 def)
% Number of atoms : 121 ( 120 equ)
% Maximal formula atoms : 21 ( 6 avg)
% Number of connectives : 168 ( 67 ~; 69 |; 32 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 6 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(f6,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 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
fof(f6_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 ),
inference(negated_conjecture,[status(cth)],[f6]) ).
fof(f6_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 ),
inference(nnf_transformation,[status(thm)],[f6_neg]) ).
fof(f6_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 ),
inference(skolemisation,[status(esa)],[f6_nnf]) ).
cnf(c523,plain,
op(e6,e6) != e6,
inference(cnf_transformation,[status(esa)],[f6_sk]) ).
cnf(c524,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)],[f6_sk]) ).
cnf(p526,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(resolution,[status(thm)],[c523,c524]) ).
cnf(c522,plain,
op(e5,e5) != e5,
inference(cnf_transformation,[status(esa)],[f6_sk]) ).
cnf(p528,plain,
( op(e4,e4) = e4
| op(e3,e3) = e3
| op(e2,e2) = e2
| op(e1,e1) = e1
| op(e0,e0) = e0 ),
inference(resolution,[status(thm)],[p526,c522]) ).
cnf(c521,plain,
op(e4,e4) != e4,
inference(cnf_transformation,[status(esa)],[f6_sk]) ).
cnf(p529,plain,
( op(e3,e3) = e3
| op(e2,e2) = e2
| op(e1,e1) = e1
| op(e0,e0) = e0 ),
inference(resolution,[status(thm)],[p528,c521]) ).
cnf(c520,plain,
op(e3,e3) != e3,
inference(cnf_transformation,[status(esa)],[f6_sk]) ).
cnf(p530,plain,
( op(e2,e2) = e2
| op(e1,e1) = e1
| op(e0,e0) = e0 ),
inference(resolution,[status(thm)],[p529,c520]) ).
cnf(c519,plain,
op(e2,e2) != e2,
inference(cnf_transformation,[status(esa)],[f6_sk]) ).
cnf(p531,plain,
( op(e1,e1) = e1
| op(e0,e0) = e0 ),
inference(resolution,[status(thm)],[p530,c519]) ).
cnf(c518,plain,
op(e1,e1) != e1,
inference(cnf_transformation,[status(esa)],[f6_sk]) ).
cnf(p532,plain,
op(e0,e0) = e0,
inference(resolution,[status(thm)],[p531,c518]) ).
cnf(c517,plain,
op(e0,e0) != e0,
inference(cnf_transformation,[status(esa)],[f6_sk]) ).
cnf(p558,plain,
e0 != e0,
inference(demodulation,[status(thm)],[p532,c517]) ).
cnf(p559,plain,
$false,
inference(equality_resolution,[status(thm)],[p558]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ALG199+1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.11/0.38 % Computer : n003.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Fri Sep 25 05:04:07 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 7.34/1.50 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 7.34/1.50 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------