%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SWC317-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/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 03:05:59 PM UTC 2026
% Result : Unsatisfiable 21.92s 3.74s
% Output : Proof 21.92s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 6
% Syntax : Number of formulae : 37 ( 10 unt; 0 def)
% Number of atoms : 81 ( 25 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 93 ( 49 ~; 44 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 6 con; 0-2 aty)
% Number of variables : 10 ( 0 sgn 4 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
cnf(f189,negated_conjecture,
sk2 = sk4,
file('/export/starexec/sandbox2/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(f202,negated_conjecture,
( ~ neq(sk4,nil)
| app(sk6,cons(sk5,nil)) = sk4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_18) ).
fof(f202_nnf,plain,
( ~ neq(sk4,nil)
| app(sk6,cons(sk5,nil)) = sk4 ),
inference(nnf_transformation,[status(thm)],[f202]) ).
fof(f202_sk,plain,
( ~ neq(sk4,nil)
| app(sk6,cons(sk5,nil)) = sk4 ),
inference(skolemisation,[status(esa)],[f202_nnf]) ).
cnf(c202,plain,
( ~ neq(sk4,nil)
| app(sk6,cons(sk5,nil)) = sk4 ),
inference(cnf_transformation,[status(esa)],[f202_sk]) ).
cnf(p207,plain,
( ~ neq(sk2,nil)
| app(sk6,cons(sk5,nil)) = sk4 ),
inference(superposition,[status(thm)],[c189,c202]) ).
cnf(f191,negated_conjecture,
( neq(sk2,nil)
| neq(sk2,nil) ),
file('/export/starexec/sandbox2/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(p203,plain,
neq(sk2,nil),
inference(factoring,[status(thm)],[c191]) ).
cnf(p214,plain,
app(sk6,cons(sk5,nil)) = sk4,
inference(resolution,[status(thm)],[p207,p203]) ).
cnf(p215,plain,
sk4 = sk2,
inference(superposition,[status(thm)],[c189,p214]) ).
cnf(f199,negated_conjecture,
( ~ neq(sk4,nil)
| ssItem(sk5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_15) ).
fof(f199_nnf,plain,
( ~ neq(sk4,nil)
| ssItem(sk5) ),
inference(nnf_transformation,[status(thm)],[f199]) ).
fof(f199_sk,plain,
( ~ neq(sk4,nil)
| ssItem(sk5) ),
inference(skolemisation,[status(esa)],[f199_nnf]) ).
cnf(c199,plain,
( ~ neq(sk4,nil)
| ssItem(sk5) ),
inference(cnf_transformation,[status(esa)],[f199_sk]) ).
cnf(p210,plain,
( ~ neq(sk2,nil)
| ssItem(sk5) ),
inference(superposition,[status(thm)],[c189,c199]) ).
cnf(p212,plain,
ssItem(sk5),
inference(resolution,[status(thm)],[p210,p203]) ).
cnf(f198,negated_conjecture,
( ~ neq(sk4,nil)
| app(B,cons(A,nil)) != sk2
| app(cons(A,nil),B) != sk1
| ~ ssList(B)
| ~ ssItem(A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_14) ).
fof(f198_nnf,plain,
! [A,B] :
( ~ neq(sk4,nil)
| app(B,cons(A,nil)) != sk2
| app(cons(A,nil),B) != sk1
| ~ ssList(B)
| ~ ssItem(A) ),
inference(nnf_transformation,[status(thm)],[f198]) ).
fof(f198_sk,plain,
! [A,B] :
( ~ neq(sk4,nil)
| app(B,cons(A,nil)) != sk2
| app(cons(A,nil),B) != sk1
| ~ ssList(B)
| ~ ssItem(A) ),
inference(skolemisation,[status(esa)],[f198_nnf]) ).
cnf(c198,plain,
( ~ neq(sk4,nil)
| app(X1,cons(X0,nil)) != sk2
| app(cons(X0,nil),X1) != sk1
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[status(esa)],[f198_sk]) ).
cnf(p213,plain,
( ~ neq(sk4,nil)
| app(X0,cons(sk5,nil)) != sk2
| app(cons(sk5,nil),X0) != sk1
| ~ ssList(X0) ),
inference(resolution,[status(thm)],[p212,c198]) ).
cnf(p220,plain,
( ~ neq(sk2,nil)
| app(X0,cons(sk5,nil)) != sk2
| app(cons(sk5,nil),X0) != sk1
| ~ ssList(X0) ),
inference(demodulation,[status(thm)],[p215,p213]) ).
cnf(f200,negated_conjecture,
( ~ neq(sk4,nil)
| ssList(sk6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_16) ).
fof(f200_nnf,plain,
( ~ neq(sk4,nil)
| ssList(sk6) ),
inference(nnf_transformation,[status(thm)],[f200]) ).
fof(f200_sk,plain,
( ~ neq(sk4,nil)
| ssList(sk6) ),
inference(skolemisation,[status(esa)],[f200_nnf]) ).
cnf(c200,plain,
( ~ neq(sk4,nil)
| ssList(sk6) ),
inference(cnf_transformation,[status(esa)],[f200_sk]) ).
cnf(p209,plain,
( ~ neq(sk2,nil)
| ssList(sk6) ),
inference(superposition,[status(thm)],[c189,c200]) ).
cnf(p211,plain,
ssList(sk6),
inference(resolution,[status(thm)],[p209,p203]) ).
cnf(p249,plain,
( ~ neq(sk2,nil)
| sk2 != sk2
| sk1 != sk1 ),
inference(resolution,[status(thm)],[p220,p211]) ).
cnf(p258,plain,
( ~ neq(sk2,nil)
| sk2 != sk2 ),
inference(equality_resolution,[status(thm)],[p249]) ).
cnf(p260,plain,
~ neq(sk2,nil),
inference(equality_resolution,[status(thm)],[p258]) ).
cnf(p261,plain,
$false,
inference(resolution,[status(thm)],[p260,p203]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC317-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.10/0.37 % Computer : n014.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Thu Sep 24 17:35:32 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 21.92/3.74 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 21.92/3.74 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------