%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : ALG173+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 : n015.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 05:24:41 PM UTC 2025
% Result : Theorem 88.33s 75.58s
% Output : CNFRefutation 88.33s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 3
% Syntax : Number of formulae : 11 ( 8 unt; 0 typ; 0 def)
% Number of atoms : 72 ( 71 equ)
% Maximal formula atoms : 50 ( 6 avg)
% Number of connectives : 99 ( 38 ~; 4 |; 57 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 28 ( 5 avg)
% Maximal term depth : 4 ( 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 > 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(e3,type,
e3: $i ).
tff(f_1283,negated_conjecture,
~ ~ ( ( ( ( op(e0,e0) != e0 )
& ( op(e0,e1) != e1 )
& ( op(e0,e2) != e2 )
& ( op(e0,e3) != e3 )
& ( op(e0,e4) != e4 ) )
| ( ( op(e1,e0) != e0 )
& ( op(e1,e1) != e1 )
& ( op(e1,e2) != e2 )
& ( op(e1,e3) != e3 )
& ( op(e1,e4) != e4 ) )
| ( ( op(e2,e0) != e0 )
& ( op(e2,e1) != e1 )
& ( op(e2,e2) != e2 )
& ( op(e2,e3) != e3 )
& ( op(e2,e4) != e4 ) )
| ( ( op(e3,e0) != e0 )
& ( op(e3,e1) != e1 )
& ( op(e3,e2) != e2 )
& ( op(e3,e3) != e3 )
& ( op(e3,e4) != e4 ) )
| ( ( op(e4,e0) != e0 )
& ( op(e4,e1) != e1 )
& ( op(e4,e2) != e2 )
& ( op(e4,e3) != e3 )
& ( op(e4,e4) != e4 ) ) )
& ( op(e0,op(e0,e0)) = e0 )
& ( op(e0,op(e0,e1)) = e1 )
& ( op(e0,op(e0,e2)) = e2 )
& ( op(e0,op(e0,e3)) = e3 )
& ( op(e0,op(e0,e4)) = e4 )
& ( op(e1,op(e1,e0)) = e0 )
& ( op(e1,op(e1,e1)) = e1 )
& ( op(e1,op(e1,e2)) = e2 )
& ( op(e1,op(e1,e3)) = e3 )
& ( op(e1,op(e1,e4)) = e4 )
& ( op(e2,op(e2,e0)) = e0 )
& ( op(e2,op(e2,e1)) = e1 )
& ( op(e2,op(e2,e2)) = e2 )
& ( op(e2,op(e2,e3)) = e3 )
& ( op(e2,op(e2,e4)) = e4 )
& ( op(e3,op(e3,e0)) = e0 )
& ( op(e3,op(e3,e1)) = e1 )
& ( op(e3,op(e3,e2)) = e2 )
& ( op(e3,op(e3,e3)) = e3 )
& ( op(e3,op(e3,e4)) = e4 )
& ( op(e4,op(e4,e0)) = e0 )
& ( op(e4,op(e4,e1)) = e1 )
& ( op(e4,op(e4,e2)) = e2 )
& ( op(e4,op(e4,e3)) = e3 )
& ( op(e4,op(e4,e4)) = e4 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
tff(f_1157,axiom,
( ( e0 = op(op(e3,op(e3,e3)),op(e3,op(e3,e3))) )
& ( e1 = op(e3,op(e3,op(e3,e3))) )
& ( e2 = op(e3,e3) )
& ( e4 = op(e3,op(e3,e3)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).
tff(f_1150,axiom,
( ( e0 != e1 )
& ( e0 != e2 )
& ( e0 != e3 )
& ( e0 != e4 )
& ( e1 != e2 )
& ( e1 != e3 )
& ( e1 != e4 )
& ( e2 != e3 )
& ( e2 != e4 )
& ( e3 != e4 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).
tff(c_442,plain,
op(e3,op(e3,e3)) = e3,
inference(cnfTransformation,[status(thm)],[f_1283]) ).
tff(c_428,plain,
op(op(e3,op(e3,e3)),op(e3,op(e3,e3))) = e0,
inference(cnfTransformation,[status(thm)],[f_1157]) ).
tff(c_6729,plain,
op(e3,e3) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_442,c_442,c_428]) ).
tff(c_6744,plain,
op(e3,e0) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_6729,c_442]) ).
tff(c_426,plain,
op(e3,op(e3,op(e3,e3))) = e1,
inference(cnfTransformation,[status(thm)],[f_1157]) ).
tff(c_7983,plain,
e1 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_6729,c_6744,c_6729,c_426]) ).
tff(c_420,plain,
e1 != e0,
inference(cnfTransformation,[status(thm)],[f_1150]) ).
tff(c_11914,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_7983,c_420]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.08 % Problem : ALG173+1 : TPTP v9.0.0. Released v2.7.0.
% 0.00/0.09 % 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
% 0.08/0.29 % Computer : n015.cluster.edu
% 0.08/0.29 % Model : x86_64 x86_64
% 0.08/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.29 % Memory : 8042.1875MB
% 0.08/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.29 % CPULimit : 300
% 0.08/0.29 % WCLimit : 300
% 0.08/0.29 % DateTime : Sun Apr 6 07:07:20 EDT 2025
% 0.08/0.29 % CPUTime :
% 88.33/75.58 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 88.33/75.58
% 88.33/75.58 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------