%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : ALG025+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/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% Computer : n013.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 6.86s 2.73s
% Output : CNFRefutation 6.92s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 1
% Syntax : Number of formulae : 32 ( 17 unt; 0 typ; 0 def)
% Number of atoms : 208 ( 207 equ)
% Maximal formula atoms : 72 ( 6 avg)
% Number of connectives : 298 ( 122 ~; 106 |; 70 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 39 ( 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_1945,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/sandbox/benchmark/theBenchmark.p',co1) ).
tff(c_1102,plain,
op(e5,e3) = op(e3,e5),
inference(cnfTransformation,[status(thm)],[f_1945]) ).
tff(c_1104,plain,
op(e4,e3) = op(e3,e4),
inference(cnfTransformation,[status(thm)],[f_1945]) ).
tff(c_1115,plain,
op(e5,e2) = op(e2,e5),
inference(cnfTransformation,[status(thm)],[f_1945]) ).
tff(c_1117,plain,
op(e4,e2) = op(e2,e4),
inference(cnfTransformation,[status(thm)],[f_1945]) ).
tff(c_1119,plain,
op(e3,e2) = op(e2,e3),
inference(cnfTransformation,[status(thm)],[f_1945]) ).
tff(c_1128,plain,
op(e5,e1) = op(e1,e5),
inference(cnfTransformation,[status(thm)],[f_1945]) ).
tff(c_1130,plain,
op(e4,e1) = op(e1,e4),
inference(cnfTransformation,[status(thm)],[f_1945]) ).
tff(c_1132,plain,
op(e3,e1) = op(e1,e3),
inference(cnfTransformation,[status(thm)],[f_1945]) ).
tff(c_1134,plain,
op(e2,e1) = op(e1,e2),
inference(cnfTransformation,[status(thm)],[f_1945]) ).
tff(c_1141,plain,
op(e5,e0) = op(e0,e5),
inference(cnfTransformation,[status(thm)],[f_1945]) ).
tff(c_1143,plain,
op(e4,e0) = op(e0,e4),
inference(cnfTransformation,[status(thm)],[f_1945]) ).
tff(c_1145,plain,
op(e3,e0) = op(e0,e3),
inference(cnfTransformation,[status(thm)],[f_1945]) ).
tff(c_1147,plain,
op(e2,e0) = op(e0,e2),
inference(cnfTransformation,[status(thm)],[f_1945]) ).
tff(c_1149,plain,
op(e1,e0) = op(e0,e1),
inference(cnfTransformation,[status(thm)],[f_1945]) ).
tff(c_1154,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_1945]) ).
tff(c_1156,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) ) ),
inference(demodulation,[status(thm),theory(equality)],[c_1149,c_1154]) ).
tff(c_1158,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) ) ),
inference(demodulation,[status(thm),theory(equality)],[c_1147,c_1156]) ).
tff(c_1160,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) ) ),
inference(demodulation,[status(thm),theory(equality)],[c_1145,c_1158]) ).
tff(c_1162,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) ) ),
inference(demodulation,[status(thm),theory(equality)],[c_1143,c_1160]) ).
tff(c_1164,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) ) ),
inference(demodulation,[status(thm),theory(equality)],[c_1141,c_1162]) ).
tff(c_1167,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) ) ),
inference(demodulation,[status(thm),theory(equality)],[c_1134,c_1164]) ).
tff(c_1169,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) ) ),
inference(demodulation,[status(thm),theory(equality)],[c_1132,c_1167]) ).
tff(c_1171,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) ) ),
inference(demodulation,[status(thm),theory(equality)],[c_1130,c_1169]) ).
tff(c_1173,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) ) ),
inference(demodulation,[status(thm),theory(equality)],[c_1128,c_1171]) ).
tff(c_1177,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) ) ),
inference(demodulation,[status(thm),theory(equality)],[c_1119,c_1173]) ).
tff(c_1179,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) ) ),
inference(demodulation,[status(thm),theory(equality)],[c_1117,c_1177]) ).
tff(c_1181,plain,
( ( op(e5,e4) != op(e4,e5) )
| ( op(e5,e3) != op(e3,e5) )
| ( op(e4,e3) != op(e3,e4) ) ),
inference(demodulation,[status(thm),theory(equality)],[c_1115,c_1179]) ).
tff(c_1186,plain,
( ( op(e5,e4) != op(e4,e5) )
| ( op(e5,e3) != op(e3,e5) ) ),
inference(demodulation,[status(thm),theory(equality)],[c_1104,c_1181]) ).
tff(c_1188,plain,
op(e5,e4) != op(e4,e5),
inference(demodulation,[status(thm),theory(equality)],[c_1102,c_1186]) ).
tff(c_1089,plain,
op(e5,e4) = op(e4,e5),
inference(cnfTransformation,[status(thm)],[f_1945]) ).
tff(c_1193,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1188,c_1089]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.13 % Problem : ALG025+1 : TPTP v9.0.0. Released v2.7.0.
% 0.09/0.14 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.14/0.35 % Computer : n013.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Sun Apr 6 06:55:17 EDT 2025
% 0.14/0.35 % CPUTime :
% 6.86/2.73 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.92/2.73
% 6.92/2.73 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------