%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SWC095-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n010.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 03:05:20 PM UTC 2026
% Result : Unsatisfiable 27.18s 4.31s
% Output : Proof 27.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 4
% Syntax : Number of formulae : 18 ( 11 unt; 0 def)
% Number of atoms : 40 ( 15 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 52 ( 30 ~; 22 |; 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 : 15 ( 0 sgn 6 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
cnf(f191,negated_conjecture,
( app(A,C) != sk2
| app(app(A,B),C) != sk1
| ~ ssList(C)
| ~ ssList(B)
| ~ ssList(A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).
fof(f191_nnf,plain,
! [A,B,C] :
( app(A,C) != sk2
| app(app(A,B),C) != sk1
| ~ ssList(C)
| ~ ssList(B)
| ~ ssList(A) ),
inference(nnf_transformation,[status(thm)],[f191]) ).
fof(f191_sk,plain,
! [A,B,C] :
( app(A,C) != sk2
| app(app(A,B),C) != sk1
| ~ ssList(C)
| ~ ssList(B)
| ~ ssList(A) ),
inference(skolemisation,[status(esa)],[f191_nnf]) ).
cnf(c191,plain,
( app(X0,X2) != sk2
| app(app(X0,X1),X2) != sk1
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[status(esa)],[f191_sk]) ).
cnf(f192,negated_conjecture,
ssList(sk5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).
fof(f192_nnf,plain,
ssList(sk5),
inference(nnf_transformation,[status(thm)],[f192]) ).
cnf(c192,plain,
ssList(sk5),
inference(cnf_transformation,[status(esa)],[f192_nnf]) ).
cnf(p205,plain,
( app(sk5,X1) != sk2
| app(app(sk5,X0),X1) != sk1
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(resolution,[status(thm)],[c191,c192]) ).
cnf(f193,negated_conjecture,
ssList(sk6),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_9) ).
fof(f193_nnf,plain,
ssList(sk6),
inference(nnf_transformation,[status(thm)],[f193]) ).
cnf(c193,plain,
ssList(sk6),
inference(cnf_transformation,[status(esa)],[f193_nnf]) ).
cnf(p209,plain,
( app(sk5,X0) != sk2
| app(app(sk5,sk6),X0) != sk1
| ~ ssList(X0) ),
inference(resolution,[status(thm)],[p205,c193]) ).
cnf(f194,negated_conjecture,
ssList(sk7),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_10) ).
fof(f194_nnf,plain,
ssList(sk7),
inference(nnf_transformation,[status(thm)],[f194]) ).
cnf(c194,plain,
ssList(sk7),
inference(cnf_transformation,[status(esa)],[f194_nnf]) ).
cnf(p498,plain,
( sk2 != sk2
| sk1 != sk1 ),
inference(resolution,[status(thm)],[p209,c194]) ).
cnf(p525,plain,
sk2 != sk2,
inference(equality_resolution,[status(thm)],[p498]) ).
cnf(p527,plain,
$false,
inference(equality_resolution,[status(thm)],[p525]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC095-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.08/0.36 % Computer : n010.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Thu Sep 24 16:21:58 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.36 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 27.18/4.31 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 27.18/4.31 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------