%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : ALG028+1 : TPTP v9.0.0. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% Computer : n003.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Apr 9 05:24:00 PM UTC 2025
% Result : Theorem 6.26s 2.43s
% Output : CNFRefutation 6.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 1
% Syntax : Number of formulae : 18 ( 16 unt; 0 typ; 0 def)
% Number of atoms : 103 ( 102 equ)
% Maximal formula atoms : 72 ( 5 avg)
% Number of connectives : 103 ( 18 ~; 14 |; 71 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 75 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 7 con; 0-2 aty)
% Number of variables : 0 ( 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ op > #nlpp > inv > unit > e5 > e4 > e3 > e2 > e1 > e0
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(e1,type,
e1: $i ).
tff(e0,type,
e0: $i ).
tff(e2,type,
e2: $i ).
tff(inv,type,
inv: $i > $i ).
tff(op,type,
op: ( $i * $i ) > $i ).
tff(unit,type,
unit: $i ).
tff(e4,type,
e4: $i ).
tff(e3,type,
e3: $i ).
tff(e5,type,
e5: $i ).
tff(f_1954,negated_conjecture,
~ ~ ( ( op(e0,e0) = op(e0,e0) )
& ( op(e0,e1) = op(e1,e0) )
& ( op(e0,e2) = op(e2,e0) )
& ( op(e0,e3) = op(e3,e0) )
& ( op(e0,e4) = op(e4,e0) )
& ( op(e0,e5) = op(e5,e0) )
& ( op(e1,e0) = op(e0,e1) )
& ( op(e1,e1) = op(e1,e1) )
& ( op(e1,e2) = op(e2,e1) )
& ( op(e1,e3) = op(e3,e1) )
& ( op(e1,e4) = op(e4,e1) )
& ( op(e1,e5) = op(e5,e1) )
& ( op(e2,e0) = op(e0,e2) )
& ( op(e2,e1) = op(e1,e2) )
& ( op(e2,e2) = op(e2,e2) )
& ( op(e2,e3) = op(e3,e2) )
& ( op(e2,e4) = op(e4,e2) )
& ( op(e2,e5) = op(e5,e2) )
& ( op(e3,e0) = op(e0,e3) )
& ( op(e3,e1) = op(e1,e3) )
& ( op(e3,e2) = op(e2,e3) )
& ( op(e3,e3) = op(e3,e3) )
& ( op(e3,e4) = op(e4,e3) )
& ( op(e3,e5) = op(e5,e3) )
& ( op(e4,e0) = op(e0,e4) )
& ( op(e4,e1) = op(e1,e4) )
& ( op(e4,e2) = op(e2,e4) )
& ( op(e4,e3) = op(e3,e4) )
& ( op(e4,e4) = op(e4,e4) )
& ( op(e4,e5) = op(e5,e4) )
& ( op(e5,e0) = op(e0,e5) )
& ( op(e5,e1) = op(e1,e5) )
& ( op(e5,e2) = op(e2,e5) )
& ( op(e5,e3) = op(e3,e5) )
& ( op(e5,e4) = op(e4,e5) )
& ( op(e5,e5) = op(e5,e5) )
& ~ ( ( op(e0,e0) = op(e0,e0) )
& ( op(e0,e1) = op(e1,e0) )
& ( op(e0,e2) = op(e2,e0) )
& ( op(e0,e3) = op(e3,e0) )
& ( op(e0,e4) = op(e4,e0) )
& ( op(e0,e5) = op(e5,e0) )
& ( op(e1,e0) = op(e0,e1) )
& ( op(e1,e1) = op(e1,e1) )
& ( op(e1,e2) = op(e2,e1) )
& ( op(e1,e3) = op(e3,e1) )
& ( op(e1,e4) = op(e4,e1) )
& ( op(e1,e5) = op(e5,e1) )
& ( op(e2,e0) = op(e0,e2) )
& ( op(e2,e1) = op(e1,e2) )
& ( op(e2,e2) = op(e2,e2) )
& ( op(e2,e3) = op(e3,e2) )
& ( op(e2,e4) = op(e4,e2) )
& ( op(e2,e5) = op(e5,e2) )
& ( op(e3,e0) = op(e0,e3) )
& ( op(e3,e1) = op(e1,e3) )
& ( op(e3,e2) = op(e2,e3) )
& ( op(e3,e3) = op(e3,e3) )
& ( op(e3,e4) = op(e4,e3) )
& ( op(e3,e5) = op(e5,e3) )
& ( op(e4,e0) = op(e0,e4) )
& ( op(e4,e1) = op(e1,e4) )
& ( op(e4,e2) = op(e2,e4) )
& ( op(e4,e3) = op(e3,e4) )
& ( op(e4,e4) = op(e4,e4) )
& ( op(e4,e5) = op(e5,e4) )
& ( op(e5,e0) = op(e0,e5) )
& ( op(e5,e1) = op(e1,e5) )
& ( op(e5,e2) = op(e2,e5) )
& ( op(e5,e3) = op(e3,e5) )
& ( op(e5,e4) = op(e4,e5) )
& ( op(e5,e5) = op(e5,e5) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
tff(c_1159,plain,
op(e1,e0) = op(e0,e1),
inference(cnfTransformation,[status(thm)],[f_1954]) ).
tff(c_1157,plain,
op(e2,e0) = op(e0,e2),
inference(cnfTransformation,[status(thm)],[f_1954]) ).
tff(c_1155,plain,
op(e3,e0) = op(e0,e3),
inference(cnfTransformation,[status(thm)],[f_1954]) ).
tff(c_1153,plain,
op(e4,e0) = op(e0,e4),
inference(cnfTransformation,[status(thm)],[f_1954]) ).
tff(c_1151,plain,
op(e5,e0) = op(e0,e5),
inference(cnfTransformation,[status(thm)],[f_1954]) ).
tff(c_1144,plain,
op(e2,e1) = op(e1,e2),
inference(cnfTransformation,[status(thm)],[f_1954]) ).
tff(c_1142,plain,
op(e3,e1) = op(e1,e3),
inference(cnfTransformation,[status(thm)],[f_1954]) ).
tff(c_1140,plain,
op(e4,e1) = op(e1,e4),
inference(cnfTransformation,[status(thm)],[f_1954]) ).
tff(c_1138,plain,
op(e5,e1) = op(e1,e5),
inference(cnfTransformation,[status(thm)],[f_1954]) ).
tff(c_1129,plain,
op(e3,e2) = op(e2,e3),
inference(cnfTransformation,[status(thm)],[f_1954]) ).
tff(c_1127,plain,
op(e4,e2) = op(e2,e4),
inference(cnfTransformation,[status(thm)],[f_1954]) ).
tff(c_1125,plain,
op(e5,e2) = op(e2,e5),
inference(cnfTransformation,[status(thm)],[f_1954]) ).
tff(c_1114,plain,
op(e4,e3) = op(e3,e4),
inference(cnfTransformation,[status(thm)],[f_1954]) ).
tff(c_1112,plain,
op(e5,e3) = op(e3,e5),
inference(cnfTransformation,[status(thm)],[f_1954]) ).
tff(c_1099,plain,
op(e5,e4) = op(e4,e5),
inference(cnfTransformation,[status(thm)],[f_1954]) ).
tff(c_1084,plain,
( ( op(e5,e4) != op(e4,e5) )
| ( op(e5,e3) != op(e3,e5) )
| ( op(e4,e3) != op(e3,e4) )
| ( op(e5,e2) != op(e2,e5) )
| ( op(e4,e2) != op(e2,e4) )
| ( op(e3,e2) != op(e2,e3) )
| ( op(e5,e1) != op(e1,e5) )
| ( op(e4,e1) != op(e1,e4) )
| ( op(e3,e1) != op(e1,e3) )
| ( op(e2,e1) != op(e1,e2) )
| ( op(e5,e0) != op(e0,e5) )
| ( op(e4,e0) != op(e0,e4) )
| ( op(e3,e0) != op(e0,e3) )
| ( op(e2,e0) != op(e0,e2) )
| ( op(e1,e0) != op(e0,e1) ) ),
inference(cnfTransformation,[status(thm)],[f_1954]) ).
tff(c_1179,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_1159,c_1157,c_1155,c_1153,c_1151,c_1144,c_1142,c_1140,c_1138,c_1129,c_1127,c_1125,c_1114,c_1112,c_1099,c_1084]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.09 % Problem : ALG028+1 : TPTP v9.0.0. Released v2.7.0.
% 0.08/0.10 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.10/0.30 % Computer : n003.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % WCLimit : 300
% 0.10/0.30 % DateTime : Sun Apr 6 06:55:48 EDT 2025
% 0.10/0.30 % CPUTime :
% 6.26/2.43 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 6.26/2.43
% 6.26/2.43 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------