%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : SYN077+1 : TPTP v9.0.0. Released v2.0.0.
% 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 : n021.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 10:02:33 PM UTC 2025
% Result : Theorem 3.28s 1.86s
% Output : CNFRefutation 3.28s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 2
% Syntax : Number of formulae : 23 ( 4 unt; 0 typ; 0 def)
% Number of atoms : 63 ( 4 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 80 ( 40 ~; 35 |; 2 &)
% ( 2 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 1 con; 0-2 aty)
% Number of variables : 41 ( 37 !; 4 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ big_f > #nlpp > #skF_1 > #skF_2 > #skF_3 > #skF_5 > #skF_4
%Foreground sorts:
%Background operators:
%Foreground operators:
tff('#skF_1',type,
'#skF_1': $i > $i ).
tff('#skF_2',type,
'#skF_2': $i ).
tff('#skF_3',type,
'#skF_3': $i > $i ).
tff('#skF_5',type,
'#skF_5': ( $i * $i ) > $i ).
tff('#skF_4',type,
'#skF_4': ( $i * $i ) > $i ).
tff(big_f,type,
big_f: ( $i * $i ) > $o ).
tff(f_51,negated_conjecture,
~ ~ ? [W] :
! [X] :
( big_f(X,W)
<=> ! [U] :
( big_f(X,U)
=> ? [Y] :
( big_f(Y,U)
& ~ ? [Z] :
( big_f(Z,U)
& big_f(Z,Y) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel54) ).
tff(f_34,axiom,
! [Y] :
? [Z] :
! [X] :
( big_f(X,Z)
<=> ( X = Y ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel54_1) ).
tff(c_10,plain,
! [X_36] :
( big_f(X_36,'#skF_3'(X_36))
| big_f(X_36,'#skF_2') ),
inference(cnfTransformation,[status(thm)],[f_51]) ).
tff(c_12,plain,
! [X_36,Y_54] :
( big_f('#skF_4'(X_36,Y_54),Y_54)
| ~ big_f(Y_54,'#skF_3'(X_36))
| big_f(X_36,'#skF_2') ),
inference(cnfTransformation,[status(thm)],[f_51]) ).
tff(c_14,plain,
! [X_36,Y_54] :
( big_f('#skF_4'(X_36,Y_54),'#skF_3'(X_36))
| ~ big_f(Y_54,'#skF_3'(X_36))
| big_f(X_36,'#skF_2') ),
inference(cnfTransformation,[status(thm)],[f_51]) ).
tff(c_8,plain,
! [X_36,U_56] :
( big_f('#skF_5'(X_36,U_56),U_56)
| ~ big_f(X_36,U_56)
| ~ big_f(X_36,'#skF_2') ),
inference(cnfTransformation,[status(thm)],[f_51]) ).
tff(c_71,plain,
! [Z_77,X_78,U_79] :
( ~ big_f(Z_77,'#skF_5'(X_78,U_79))
| ~ big_f(Z_77,U_79)
| ~ big_f(X_78,U_79)
| ~ big_f(X_78,'#skF_2') ),
inference(cnfTransformation,[status(thm)],[f_51]) ).
tff(c_211,plain,
! [X_99,X_100,U_101] :
( ~ big_f('#skF_4'(X_99,'#skF_5'(X_100,U_101)),U_101)
| ~ big_f(X_100,U_101)
| ~ big_f(X_100,'#skF_2')
| ~ big_f('#skF_5'(X_100,U_101),'#skF_3'(X_99))
| big_f(X_99,'#skF_2') ),
inference(resolution,[status(thm)],[c_12,c_71]) ).
tff(c_225,plain,
! [X_102,X_103] :
( ~ big_f(X_102,'#skF_3'(X_103))
| ~ big_f(X_102,'#skF_2')
| ~ big_f('#skF_5'(X_102,'#skF_3'(X_103)),'#skF_3'(X_103))
| big_f(X_103,'#skF_2') ),
inference(resolution,[status(thm)],[c_14,c_211]) ).
tff(c_231,plain,
! [X_104,X_105] :
( big_f(X_104,'#skF_2')
| ~ big_f(X_105,'#skF_3'(X_104))
| ~ big_f(X_105,'#skF_2') ),
inference(resolution,[status(thm)],[c_8,c_225]) ).
tff(c_292,plain,
! [X_109,Y_110] :
( ~ big_f('#skF_4'(X_109,Y_110),'#skF_2')
| ~ big_f(Y_110,'#skF_3'(X_109))
| big_f(X_109,'#skF_2') ),
inference(resolution,[status(thm)],[c_14,c_231]) ).
tff(c_304,plain,
! [X_111] :
( ~ big_f('#skF_2','#skF_3'(X_111))
| big_f(X_111,'#skF_2') ),
inference(resolution,[status(thm)],[c_12,c_292]) ).
tff(c_314,plain,
big_f('#skF_2','#skF_2'),
inference(resolution,[status(thm)],[c_10,c_304]) ).
tff(c_4,plain,
! [Y_1] : big_f(Y_1,'#skF_1'(Y_1)),
inference(cnfTransformation,[status(thm)],[f_34]) ).
tff(c_23,plain,
! [X_66,U_67] :
( big_f('#skF_5'(X_66,U_67),U_67)
| ~ big_f(X_66,U_67)
| ~ big_f(X_66,'#skF_2') ),
inference(cnfTransformation,[status(thm)],[f_51]) ).
tff(c_2,plain,
! [Y_1,X_6] :
( ( Y_1 = X_6 )
| ~ big_f(X_6,'#skF_1'(Y_1)) ),
inference(cnfTransformation,[status(thm)],[f_34]) ).
tff(c_36,plain,
! [X_72,Y_73] :
( ( '#skF_5'(X_72,'#skF_1'(Y_73)) = Y_73 )
| ~ big_f(X_72,'#skF_1'(Y_73))
| ~ big_f(X_72,'#skF_2') ),
inference(resolution,[status(thm)],[c_23,c_2]) ).
tff(c_50,plain,
! [Y_1] :
( ( '#skF_5'(Y_1,'#skF_1'(Y_1)) = Y_1 )
| ~ big_f(Y_1,'#skF_2') ),
inference(resolution,[status(thm)],[c_4,c_36]) ).
tff(c_74,plain,
! [Z_77,Y_1] :
( ~ big_f(Z_77,Y_1)
| ~ big_f(Z_77,'#skF_1'(Y_1))
| ~ big_f(Y_1,'#skF_1'(Y_1))
| ~ big_f(Y_1,'#skF_2')
| ~ big_f(Y_1,'#skF_2') ),
inference(superposition,[status(thm),theory(equality)],[c_50,c_71]) ).
tff(c_103,plain,
! [Z_81,Y_82] :
( ~ big_f(Z_81,Y_82)
| ~ big_f(Z_81,'#skF_1'(Y_82))
| ~ big_f(Y_82,'#skF_2') ),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_74]) ).
tff(c_117,plain,
! [Y_1] :
( ~ big_f(Y_1,Y_1)
| ~ big_f(Y_1,'#skF_2') ),
inference(resolution,[status(thm)],[c_4,c_103]) ).
tff(c_316,plain,
~ big_f('#skF_2','#skF_2'),
inference(resolution,[status(thm)],[c_314,c_117]) ).
tff(c_320,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_314,c_316]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SYN077+1 : TPTP v9.0.0. Released v2.0.0.
% 0.11/0.13 % 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
% 0.13/0.34 % Computer : n021.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Wed Apr 9 06:56:14 EDT 2025
% 0.13/0.34 % CPUTime :
% 3.28/1.86 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.28/1.87
% 3.28/1.87 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------