%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SWC121-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n018.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 03:05:25 PM UTC 2026
% Result : Unsatisfiable 24.40s 4.18s
% Output : Proof 24.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 6
% Syntax : Number of formulae : 34 ( 15 unt; 0 def)
% Number of atoms : 57 ( 6 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 49 ( 26 ~; 23 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 2 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(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(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(f196,negated_conjecture,
( ~ neq(sk4,nil)
| neq(sk3,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_12) ).
fof(f196_nnf,plain,
( ~ neq(sk4,nil)
| neq(sk3,nil) ),
inference(nnf_transformation,[status(thm)],[f196]) ).
fof(f196_sk,plain,
( ~ neq(sk4,nil)
| neq(sk3,nil) ),
inference(skolemisation,[status(esa)],[f196_nnf]) ).
cnf(c196,plain,
( ~ neq(sk4,nil)
| neq(sk3,nil) ),
inference(cnf_transformation,[status(esa)],[f196_sk]) ).
cnf(p201,plain,
( ~ neq(sk2,nil)
| neq(sk3,nil) ),
inference(superposition,[status(thm)],[c189,c196]) ).
cnf(f191,negated_conjecture,
( neq(sk2,nil)
| neq(sk2,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).
fof(f191_nnf,plain,
( neq(sk2,nil)
| neq(sk2,nil) ),
inference(nnf_transformation,[status(thm)],[f191]) ).
fof(f191_sk,plain,
( neq(sk2,nil)
| neq(sk2,nil) ),
inference(skolemisation,[status(esa)],[f191_nnf]) ).
cnf(c191,plain,
( neq(sk2,nil)
| neq(sk2,nil) ),
inference(cnf_transformation,[status(esa)],[f191_sk]) ).
cnf(p199,plain,
neq(sk2,nil),
inference(factoring,[status(thm)],[c191]) ).
cnf(p206,plain,
neq(sk3,nil),
inference(resolution,[status(thm)],[p201,p199]) ).
cnf(p207,plain,
neq(sk1,nil),
inference(superposition,[status(thm)],[c190,p206]) ).
cnf(f198,negated_conjecture,
( ~ neq(sk4,nil)
| ~ segmentP(sk2,sk1)
| ~ neq(sk1,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_14) ).
fof(f198_nnf,plain,
( ~ neq(sk4,nil)
| ~ segmentP(sk2,sk1)
| ~ neq(sk1,nil) ),
inference(nnf_transformation,[status(thm)],[f198]) ).
fof(f198_sk,plain,
( ~ neq(sk4,nil)
| ~ segmentP(sk2,sk1)
| ~ neq(sk1,nil) ),
inference(skolemisation,[status(esa)],[f198_nnf]) ).
cnf(c198,plain,
( ~ neq(sk4,nil)
| ~ segmentP(sk2,sk1)
| ~ neq(sk1,nil) ),
inference(cnf_transformation,[status(esa)],[f198_sk]) ).
cnf(p208,plain,
( ~ neq(sk4,nil)
| ~ segmentP(sk2,sk1) ),
inference(resolution,[status(thm)],[p207,c198]) ).
cnf(f197,negated_conjecture,
( ~ neq(sk4,nil)
| segmentP(sk4,sk3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_13) ).
fof(f197_nnf,plain,
( ~ neq(sk4,nil)
| segmentP(sk4,sk3) ),
inference(nnf_transformation,[status(thm)],[f197]) ).
fof(f197_sk,plain,
( ~ neq(sk4,nil)
| segmentP(sk4,sk3) ),
inference(skolemisation,[status(esa)],[f197_nnf]) ).
cnf(c197,plain,
( ~ neq(sk4,nil)
| segmentP(sk4,sk3) ),
inference(cnf_transformation,[status(esa)],[f197_sk]) ).
cnf(p200,plain,
( ~ neq(sk2,nil)
| segmentP(sk4,sk3) ),
inference(superposition,[status(thm)],[c189,c197]) ).
cnf(p202,plain,
segmentP(sk4,sk3),
inference(resolution,[status(thm)],[p200,p199]) ).
cnf(p203,plain,
segmentP(sk4,sk1),
inference(superposition,[status(thm)],[c190,p202]) ).
cnf(p205,plain,
segmentP(sk2,sk1),
inference(superposition,[status(thm)],[c189,p203]) ).
cnf(p209,plain,
~ neq(sk4,nil),
inference(resolution,[status(thm)],[p208,p205]) ).
cnf(p210,plain,
~ neq(sk2,nil),
inference(superposition,[status(thm)],[c189,p209]) ).
cnf(p211,plain,
$false,
inference(resolution,[status(thm)],[p210,p199]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC121-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.12/0.58 % Computer : n018.cluster.edu
% 0.12/0.58 % Model : x86_64 x86_64
% 0.12/0.58 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.58 % Memory : 8046.5625MB
% 0.12/0.58 % OS : Linux 6.8.0-71-generic
% 0.12/0.58 % CPULimit : 300
% 0.12/0.58 % WCLimit : 300
% 0.12/0.58 % DateTime : Thu Sep 24 16:32:49 UTC 2026
% 0.12/0.58 % CPUTime :
% 0.12/0.58 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 24.40/4.18 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 24.40/4.18 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------