%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : ALG036+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 : n027.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 05:24:01 PM UTC 2025
% Result : Theorem 7.38s 2.81s
% Output : CNFRefutation 7.51s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 4
% Syntax : Number of formulae : 24 ( 11 unt; 0 typ; 0 def)
% Number of atoms : 100 ( 99 equ)
% Maximal formula atoms : 32 ( 4 avg)
% Number of connectives : 94 ( 18 ~; 39 |; 37 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 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 : 6 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 0 ( 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ op > #nlpp > unit > 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(unit,type,
unit: $i ).
tff(e3,type,
e3: $i ).
tff(f_591,axiom,
( ( e0 != e1 )
& ( e0 != e2 )
& ( e0 != e3 )
& ( e1 != e2 )
& ( e1 != e3 )
& ( e2 != e3 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax6) ).
tff(f_431,axiom,
unit = e0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).
tff(f_175,axiom,
( ( op(unit,e0) = e0 )
& ( op(e0,unit) = e0 )
& ( op(unit,e1) = e1 )
& ( op(e1,unit) = e1 )
& ( op(unit,e2) = e2 )
& ( op(e2,unit) = e2 )
& ( op(unit,e3) = e3 )
& ( op(e3,unit) = e3 )
& ( ( unit = e0 )
| ( unit = e1 )
| ( unit = e2 )
| ( unit = e3 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2) ).
tff(f_656,negated_conjecture,
~ ( ( ( op(e0,e0) = e0 )
& ( op(e1,e1) = e0 )
& ( op(e2,e2) = e0 )
& ( op(e3,e3) = e0 ) )
| ( ( op(e0,e0) = e1 )
& ( op(e1,e1) = e1 )
& ( op(e2,e2) = e1 )
& ( op(e3,e3) = e1 ) )
| ( ( op(e0,e0) = e2 )
& ( op(e1,e1) = e2 )
& ( op(e2,e2) = e2 )
& ( op(e3,e3) = e2 ) )
| ( ( op(e0,e0) = e3 )
& ( op(e1,e1) = e3 )
& ( op(e2,e2) = e3 )
& ( op(e3,e3) = e3 ) )
| ~ ( ( ( op(e0,e0) = e0 )
& ( op(e1,e1) = e0 )
& ( op(e2,e2) = e0 )
& ( op(e3,e3) = e0 ) )
| ( ( op(e0,e0) = e1 )
& ( op(e1,e1) = e1 )
& ( op(e2,e2) = e1 )
& ( op(e3,e3) = e1 ) )
| ( ( op(e0,e0) = e2 )
& ( op(e1,e1) = e2 )
& ( op(e2,e2) = e2 )
& ( op(e3,e3) = e2 ) )
| ( ( op(e0,e0) = e3 )
& ( op(e1,e1) = e3 )
& ( op(e2,e2) = e3 )
& ( op(e3,e3) = e3 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
tff(c_220,plain,
e3 != e0,
inference(cnfTransformation,[status(thm)],[f_591]) ).
tff(c_222,plain,
e2 != e0,
inference(cnfTransformation,[status(thm)],[f_591]) ).
tff(c_224,plain,
e1 != e0,
inference(cnfTransformation,[status(thm)],[f_591]) ).
tff(c_116,plain,
unit = e0,
inference(cnfTransformation,[status(thm)],[f_431]) ).
tff(c_50,plain,
op(unit,e0) = e0,
inference(cnfTransformation,[status(thm)],[f_175]) ).
tff(c_745,plain,
op(e0,e0) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_116,c_50]) ).
tff(c_740,plain,
( ( op(e2,e2) = e0 )
| ( op(e0,e0) = e1 )
| ( op(e0,e0) = e2 )
| ( op(e0,e0) = e3 ) ),
inference(cnfTransformation,[status(thm)],[f_656]) ).
tff(c_746,plain,
( ( op(e2,e2) = e0 )
| ( e1 = e0 )
| ( e2 = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_745,c_745,c_745,c_740]) ).
tff(c_940,plain,
op(e2,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_220,c_222,c_224,c_746]) ).
tff(c_726,plain,
( ( op(e1,e1) = e0 )
| ( op(e2,e2) = e1 )
| ( op(e0,e0) = e2 )
| ( op(e0,e0) = e3 ) ),
inference(cnfTransformation,[status(thm)],[f_656]) ).
tff(c_750,plain,
( ( op(e1,e1) = e0 )
| ( op(e2,e2) = e1 )
| ( e2 = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_745,c_745,c_726]) ).
tff(c_1023,plain,
( ( op(e1,e1) = e0 )
| ( e1 = e0 )
| ( e2 = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_940,c_750]) ).
tff(c_1024,plain,
op(e1,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_220,c_222,c_224,c_1023]) ).
tff(c_722,plain,
( ( op(e3,e3) = e0 )
| ( op(e2,e2) = e1 )
| ( op(e0,e0) = e2 )
| ( op(e0,e0) = e3 ) ),
inference(cnfTransformation,[status(thm)],[f_656]) ).
tff(c_752,plain,
( ( op(e3,e3) = e0 )
| ( op(e2,e2) = e1 )
| ( e2 = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_745,c_745,c_722]) ).
tff(c_1053,plain,
( ( op(e3,e3) = e0 )
| ( e1 = e0 )
| ( e2 = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_940,c_752]) ).
tff(c_1054,plain,
op(e3,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_220,c_222,c_224,c_1053]) ).
tff(c_232,plain,
( ( op(e3,e3) != e0 )
| ( op(e2,e2) != e0 )
| ( op(e1,e1) != e0 )
| ( op(e0,e0) != e0 ) ),
inference(cnfTransformation,[status(thm)],[f_656]) ).
tff(c_888,plain,
( ( op(e3,e3) != e0 )
| ( op(e2,e2) != e0 )
| ( op(e1,e1) != e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_745,c_232]) ).
tff(c_1223,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_1024,c_940,c_1054,c_888]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : ALG036+1 : TPTP v9.0.0. Released v2.7.0.
% 0.08/0.15 % 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
% 0.14/0.36 % Computer : n027.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Sun Apr 6 06:56:05 EDT 2025
% 0.14/0.36 % CPUTime :
% 7.38/2.81 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 7.48/2.81
% 7.48/2.81 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------