%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : GEO524+1 : TPTP v9.3.1. Released v7.0.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n001.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 : Sun Sep 27 07:15:19 AM UTC 2026
% Result : Theorem 13.31s 6.24s
% Output : CNFRefutation 13.31s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 2
% Syntax : Number of formulae : 13 ( 7 unt; 0 def)
% Number of atoms : 21 ( 20 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 14 ( 6 ~; 8 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-3 aty)
% Number of variables : 14 ( 0 sgn 11 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(aSatz10_5,axiom,
! [X0,X1,X2] :
( reflect(X0,X1,reflect(X0,X1,X2)) = X2
| X0 = X1 ) ).
fof(aSatz10_7,conjecture,
! [X0,X1,X2,X3] :
( X2 = X3
| reflect(X0,X1,X2) != reflect(X0,X1,X3)
| X0 = X1 ) ).
fof(negated_conjecture,negated_conjecture,
~ ! [X0,X1,X2,X3] :
( X2 = X3
| reflect(X0,X1,X2) != reflect(X0,X1,X3)
| X0 = X1 ),
inference(negate_conjecture,[status(cth)],[aSatz10_7]) ).
cnf(c205,plain,
( reflect(X0,X1,reflect(X0,X1,X2)) = X2
| X0 = X1 ),
inference(clausification,[status(esa)],[aSatz10_5]) ).
cnf(c294,plain,
sK858 != sK859,
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c295,plain,
reflect(sK858,sK859,sK860) = reflect(sK858,sK859,sK861),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c296,plain,
sK860 != sK861,
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( sK858 = sK859
| reflect(sK858,sK859,reflect(sK858,sK859,sK860)) = sK861 ),
inference(superposition,[status(thm)],[c295,c205]) ).
cnf(d1,plain,
reflect(sK858,sK859,reflect(sK858,sK859,sK860)) = sK861,
inference(resolution,[status(thm)],[c294,d0]) ).
cnf(d2,plain,
( sK858 = sK859
| sK861 = sK860 ),
inference(superposition,[status(thm)],[d1,c205]) ).
cnf(d3,plain,
sK861 = sK860,
inference(resolution,[status(thm)],[c294,d2]) ).
cnf(d4,plain,
sK860 != sK860,
inference(demodulation,[status(thm)],[c296,d3]) ).
cnf(d5,plain,
$false,
inference(equality_resolution,[status(thm)],[d4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : GEO524+1 : TPTP v9.3.1. Released v7.0.0.
% 0.00/0.05 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.42 % Computer : n001.cluster.edu
% 0.14/0.42 % Model : x86_64 x86_64
% 0.14/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.42 % Memory : 8046.5625MB
% 0.14/0.42 % OS : Linux 6.8.0-71-generic
% 0.14/0.42 % CPULimit : 300
% 0.14/0.42 % WCLimit : 300
% 0.14/0.42 % DateTime : Fri Sep 25 13:44:28 UTC 2026
% 0.14/0.42 % CPUTime :
% 0.14/0.42 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 13.31/6.24 % SZS status Theorem for theBenchmark.p
% 13.31/6.24 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------