%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SWC026-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n014.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 03:05:07 PM UTC 2026
% Result : Unsatisfiable 11.38s 3.80s
% Output : Proof 11.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 6
% Syntax : Number of formulae : 32 ( 12 unt; 0 def)
% Number of atoms : 52 ( 51 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 40 ( 20 ~; 20 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 0 ( 0 sgn 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
cnf(f193,negated_conjecture,
( nil = sk1
| nil = sk2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_9) ).
fof(f193_nnf,plain,
( nil = sk1
| nil = sk2 ),
inference(nnf_transformation,[status(thm)],[f193]) ).
fof(f193_sk,plain,
( nil = sk1
| nil = sk2 ),
inference(skolemisation,[status(esa)],[f193_nnf]) ).
cnf(c193,plain,
( nil = sk1
| nil = sk2 ),
inference(cnf_transformation,[status(esa)],[f193_sk]) ).
cnf(f189,negated_conjecture,
sk2 = sk4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_5) ).
fof(f189_nnf,plain,
sk2 = sk4,
inference(nnf_transformation,[status(thm)],[f189]) ).
cnf(c189,plain,
sk2 = sk4,
inference(cnf_transformation,[status(esa)],[f189_nnf]) ).
cnf(p202,plain,
( nil = sk4
| nil = sk1 ),
inference(superposition,[status(thm)],[c193,c189]) ).
cnf(f192,negated_conjecture,
( nil != sk4
| nil = sk3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).
fof(f192_nnf,plain,
( nil != sk4
| nil = sk3 ),
inference(nnf_transformation,[status(thm)],[f192]) ).
fof(f192_sk,plain,
( nil != sk4
| nil = sk3 ),
inference(skolemisation,[status(esa)],[f192_nnf]) ).
cnf(c192,plain,
( nil != sk4
| nil = sk3 ),
inference(cnf_transformation,[status(esa)],[f192_sk]) ).
cnf(p206,plain,
( nil = sk3
| nil = sk1 ),
inference(resolution,[status(thm)],[p202,c192]) ).
cnf(p209,plain,
( sk1 != sk3
| nil = sk1 ),
inference(equality_factoring,[status(thm)],[p206]) ).
cnf(f190,negated_conjecture,
sk1 = sk3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_6) ).
fof(f190_nnf,plain,
sk1 = sk3,
inference(nnf_transformation,[status(thm)],[f190]) ).
cnf(c190,plain,
sk1 = sk3,
inference(cnf_transformation,[status(esa)],[f190_nnf]) ).
cnf(p213,plain,
nil = sk1,
inference(resolution,[status(thm)],[p209,c190]) ).
cnf(f191,negated_conjecture,
( nil != sk3
| nil = sk4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).
fof(f191_nnf,plain,
( nil != sk3
| nil = sk4 ),
inference(nnf_transformation,[status(thm)],[f191]) ).
fof(f191_sk,plain,
( nil != sk3
| nil = sk4 ),
inference(skolemisation,[status(esa)],[f191_nnf]) ).
cnf(c191,plain,
( nil != sk3
| nil = sk4 ),
inference(cnf_transformation,[status(esa)],[f191_sk]) ).
cnf(p201,plain,
( nil != sk1
| nil = sk4 ),
inference(superposition,[status(thm)],[c190,c191]) ).
cnf(p217,plain,
nil = sk4,
inference(resolution,[status(thm)],[p213,p201]) ).
cnf(p219,plain,
sk2 = nil,
inference(superposition,[status(thm)],[p217,c189]) ).
cnf(f196,negated_conjecture,
( nil != sk2
| nil != sk1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_12) ).
fof(f196_nnf,plain,
( nil != sk2
| nil != sk1 ),
inference(nnf_transformation,[status(thm)],[f196]) ).
fof(f196_sk,plain,
( nil != sk2
| nil != sk1 ),
inference(skolemisation,[status(esa)],[f196_nnf]) ).
cnf(c196,plain,
( nil != sk2
| nil != sk1 ),
inference(cnf_transformation,[status(esa)],[f196_sk]) ).
cnf(p214,plain,
nil != sk2,
inference(resolution,[status(thm)],[p213,c196]) ).
cnf(p220,plain,
nil != nil,
inference(demodulation,[status(thm)],[p219,p214]) ).
cnf(p221,plain,
$false,
inference(equality_resolution,[status(thm)],[p220]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWC026-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.03 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.10/0.35 % Computer : n014.cluster.edu
% 0.10/0.35 % Model : x86_64 x86_64
% 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35 % Memory : 8046.5625MB
% 0.10/0.35 % OS : Linux 6.8.0-71-generic
% 0.10/0.35 % CPULimit : 300
% 0.10/0.35 % WCLimit : 300
% 0.10/0.35 % DateTime : Thu Sep 24 15:59:02 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 11.38/3.80 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 11.38/3.80 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------