%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : ALG200+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 : n010.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 05:24:44 PM UTC 2025
% Result : Theorem 5.82s 2.22s
% Output : CNFRefutation 5.82s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 1
% Syntax : Number of formulae : 10 ( 8 unt; 0 typ; 0 def)
% Number of atoms : 36 ( 35 equ)
% Maximal formula atoms : 21 ( 3 avg)
% Number of connectives : 42 ( 16 ~; 18 |; 8 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 3 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 : 8 ( 8 usr; 7 con; 0-2 aty)
% Number of variables : 0 ( 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ op > #nlpp > e6 > 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(op,type,
op: ( $i * $i ) > $i ).
tff(e4,type,
e4: $i ).
tff(e6,type,
e6: $i ).
tff(e3,type,
e3: $i ).
tff(e5,type,
e5: $i ).
tff(f_3180,negated_conjecture,
~ ~ ( ( op(e0,e0) = e0 )
& ( op(e1,e1) = e1 )
& ( op(e2,e2) = e2 )
& ( op(e3,e3) = e3 )
& ( op(e4,e4) = e4 )
& ( op(e5,e5) = e5 )
& ( op(e6,e6) = e6 )
& ( ( op(e0,e0) = e0 )
| ( op(e1,e1) = e1 )
| ( op(e2,e2) = e2 )
| ( op(e3,e3) = e3 )
| ( op(e4,e4) = e4 )
| ( op(e5,e5) = e5 )
| ( op(e6,e6) = e6 ) )
& ( ( op(e0,e0) != e0 )
| ( op(e1,e1) != e1 )
| ( op(e2,e2) != e2 )
| ( op(e3,e3) != e3 )
| ( op(e4,e4) != e4 )
| ( op(e5,e5) != e5 )
| ( op(e6,e6) != e6 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
tff(c_1050,plain,
op(e0,e0) = e0,
inference(cnfTransformation,[status(thm)],[f_3180]) ).
tff(c_1048,plain,
op(e1,e1) = e1,
inference(cnfTransformation,[status(thm)],[f_3180]) ).
tff(c_1046,plain,
op(e2,e2) = e2,
inference(cnfTransformation,[status(thm)],[f_3180]) ).
tff(c_1044,plain,
op(e3,e3) = e3,
inference(cnfTransformation,[status(thm)],[f_3180]) ).
tff(c_1042,plain,
op(e4,e4) = e4,
inference(cnfTransformation,[status(thm)],[f_3180]) ).
tff(c_1040,plain,
op(e5,e5) = e5,
inference(cnfTransformation,[status(thm)],[f_3180]) ).
tff(c_1038,plain,
op(e6,e6) = e6,
inference(cnfTransformation,[status(thm)],[f_3180]) ).
tff(c_1034,plain,
( ( op(e6,e6) != e6 )
| ( op(e5,e5) != e5 )
| ( op(e4,e4) != e4 )
| ( op(e3,e3) != e3 )
| ( op(e2,e2) != e2 )
| ( op(e1,e1) != e1 )
| ( op(e0,e0) != e0 ) ),
inference(cnfTransformation,[status(thm)],[f_3180]) ).
tff(c_1053,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_1050,c_1048,c_1046,c_1044,c_1042,c_1040,c_1038,c_1034]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : ALG200+1 : TPTP v9.0.0. Released v2.7.0.
% 0.06/0.13 % 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
% 0.14/0.34 % Computer : n010.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Sun Apr 6 07:09:16 EDT 2025
% 0.14/0.34 % CPUTime :
% 5.82/2.22 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 5.82/2.22
% 5.82/2.22 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------