%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SWC007-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n009.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 03:05:04 PM UTC 2026
% Result : Unsatisfiable 50.47s 7.71s
% Output : Proof 50.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 8
% Syntax : Number of formulae : 39 ( 20 unt; 0 def)
% Number of atoms : 75 ( 43 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 84 ( 48 ~; 36 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 25 ( 0 sgn 10 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
cnf(f73,axiom,
( app(nil,U) = U
| ~ ssList(U) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause74) ).
fof(f73_nnf,plain,
! [U] :
( app(nil,U) = U
| ~ ssList(U) ),
inference(nnf_transformation,[status(thm)],[f73]) ).
fof(f73_sk,plain,
! [U] :
( app(nil,U) = U
| ~ ssList(U) ),
inference(skolemisation,[status(esa)],[f73_nnf]) ).
cnf(c73,plain,
( app(nil,X0) = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[status(esa)],[f73_sk]) ).
cnf(f188,negated_conjecture,
ssList(sk4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_4) ).
fof(f188_nnf,plain,
ssList(sk4),
inference(nnf_transformation,[status(thm)],[f188]) ).
cnf(c188,plain,
ssList(sk4),
inference(cnf_transformation,[status(esa)],[f188_nnf]) ).
cnf(p1344,plain,
app(nil,sk2) = sk2,
inference(resolution,[status(thm)],[c73,c188]) ).
cnf(f72,axiom,
( app(U,nil) = U
| ~ ssList(U) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause73) ).
fof(f72_nnf,plain,
! [U] :
( app(U,nil) = U
| ~ ssList(U) ),
inference(nnf_transformation,[status(thm)],[f72]) ).
fof(f72_sk,plain,
! [U] :
( app(U,nil) = U
| ~ ssList(U) ),
inference(skolemisation,[status(esa)],[f72_nnf]) ).
cnf(c72,plain,
( app(X0,nil) = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[status(esa)],[f72_sk]) ).
cnf(f7,axiom,
ssList(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause8) ).
fof(f7_nnf,plain,
ssList(nil),
inference(nnf_transformation,[status(thm)],[f7]) ).
cnf(c7,plain,
ssList(nil),
inference(cnf_transformation,[status(esa)],[f7_nnf]) ).
cnf(p1166,plain,
app(nil,nil) = nil,
inference(resolution,[status(thm)],[c72,c7]) ).
cnf(f190,negated_conjecture,
sk2 = sk4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_6) ).
fof(f190_nnf,plain,
sk2 = sk4,
inference(nnf_transformation,[status(thm)],[f190]) ).
cnf(c190,plain,
sk2 = sk4,
inference(cnf_transformation,[status(esa)],[f190_nnf]) ).
cnf(f189,negated_conjecture,
nil = sk3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_5) ).
fof(f189_nnf,plain,
nil = sk3,
inference(nnf_transformation,[status(thm)],[f189]) ).
cnf(c189,plain,
nil = sk3,
inference(cnf_transformation,[status(esa)],[f189_nnf]) ).
cnf(f191,negated_conjecture,
sk1 = sk3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).
fof(f191_nnf,plain,
sk1 = sk3,
inference(nnf_transformation,[status(thm)],[f191]) ).
cnf(c191,plain,
sk1 = sk3,
inference(cnf_transformation,[status(esa)],[f191_nnf]) ).
cnf(p200,plain,
sk1 = nil,
inference(superposition,[status(thm)],[c189,c191]) ).
cnf(f192,negated_conjecture,
( app(A,C) != sk1
| app(app(A,B),C) != sk2
| ~ ssList(C)
| ~ ssList(B)
| ~ ssList(A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).
fof(f192_nnf,plain,
! [A,B,C] :
( app(A,C) != sk1
| app(app(A,B),C) != sk2
| ~ ssList(C)
| ~ ssList(B)
| ~ ssList(A) ),
inference(nnf_transformation,[status(thm)],[f192]) ).
fof(f192_sk,plain,
! [A,B,C] :
( app(A,C) != sk1
| app(app(A,B),C) != sk2
| ~ ssList(C)
| ~ ssList(B)
| ~ ssList(A) ),
inference(skolemisation,[status(esa)],[f192_nnf]) ).
cnf(c192,plain,
( app(X0,X2) != sk1
| app(app(X0,X1),X2) != sk2
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[status(esa)],[f192_sk]) ).
cnf(p194,plain,
( app(X0,X0) != sk1
| app(app(X0,X1),X0) != sk2
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(factoring,[status(thm)],[c192]) ).
cnf(p203,plain,
( app(X0,X0) != nil
| app(app(X0,X1),X0) != sk2
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(demodulation,[status(thm)],[p200,p194]) ).
cnf(p224,plain,
( app(nil,nil) != nil
| app(app(nil,X0),nil) != sk2
| ~ ssList(X0) ),
inference(resolution,[status(thm)],[p203,c7]) ).
cnf(p227,plain,
( app(nil,nil) != nil
| app(app(nil,sk4),nil) != sk2 ),
inference(resolution,[status(thm)],[p224,c188]) ).
cnf(p260,plain,
( app(nil,nil) != nil
| app(app(nil,sk2),nil) != sk2 ),
inference(superposition,[status(thm)],[c190,p227]) ).
cnf(p1177,plain,
( nil != nil
| app(app(nil,sk2),nil) != sk2 ),
inference(demodulation,[status(thm)],[p1166,p260]) ).
cnf(p1349,plain,
( nil != nil
| app(sk2,nil) != sk2 ),
inference(demodulation,[status(thm)],[p1344,p1177]) ).
cnf(p4272,plain,
sk2 != sk2,
inference(equality_resolution,[status(thm)],[p1349]) ).
cnf(p4274,plain,
$false,
inference(equality_resolution,[status(thm)],[p4272]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC007-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.09/0.37 % Computer : n009.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Thu Sep 24 15:53:14 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 50.47/7.71 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 50.47/7.71 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------