%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : SYN724+1 : TPTP v9.0.0. Released v2.5.0.
% 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 : n031.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 10:04:17 PM UTC 2025
% Result : Theorem 2.79s 1.65s
% Output : CNFRefutation 2.79s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 1
% Syntax : Number of formulae : 55 ( 29 unt; 0 typ; 0 def)
% Number of atoms : 103 ( 0 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 93 ( 45 ~; 44 |; 1 &)
% ( 2 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-1 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 11 ( 11 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ s > r > #nlpp > #skF_2 > #skF_3 > #skF_1
%Foreground sorts:
%Background operators:
%Foreground operators:
tff('#skF_2',type,
'#skF_2': $i ).
tff('#skF_3',type,
'#skF_3': $i ).
tff('#skF_1',type,
'#skF_1': $i ).
tff(s,type,
s: $i > $o ).
tff(r,type,
r: $i > $o ).
tff(f_36,negated_conjecture,
~ ( ! [X] :
( r(X)
=> s(X) )
<=> ! [X] :
( ( r(X)
& s(X) )
<=> r(X) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm31) ).
tff(c_28,plain,
( r('#skF_1')
| r('#skF_2')
| r('#skF_3') ),
inference(cnfTransformation,[status(thm)],[f_36]) ).
tff(c_71,plain,
r('#skF_3'),
inference(splitLeft,[status(thm)],[c_28]) ).
tff(c_44,plain,
! [X_1,X_2] :
( s(X_1)
| ~ r(X_1)
| s(X_2)
| ~ r(X_2) ),
inference(cnfTransformation,[status(thm)],[f_36]) ).
tff(c_77,plain,
! [X_3] :
( s(X_3)
| ~ r(X_3) ),
inference(splitLeft,[status(thm)],[c_44]) ).
tff(c_6,plain,
( r('#skF_1')
| ~ r('#skF_2')
| ~ s('#skF_3') ),
inference(cnfTransformation,[status(thm)],[f_36]) ).
tff(c_73,plain,
~ s('#skF_3'),
inference(splitLeft,[status(thm)],[c_6]) ).
tff(c_80,plain,
~ r('#skF_3'),
inference(resolution,[status(thm)],[c_77,c_73]) ).
tff(c_84,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_71,c_80]) ).
tff(c_86,plain,
! [X_4] :
( s(X_4)
| ~ r(X_4) ),
inference(splitRight,[status(thm)],[c_44]) ).
tff(c_89,plain,
~ r('#skF_3'),
inference(resolution,[status(thm)],[c_86,c_73]) ).
tff(c_93,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_71,c_89]) ).
tff(c_94,plain,
( ~ r('#skF_2')
| r('#skF_1') ),
inference(splitRight,[status(thm)],[c_6]) ).
tff(c_96,plain,
~ r('#skF_2'),
inference(splitLeft,[status(thm)],[c_94]) ).
tff(c_95,plain,
s('#skF_3'),
inference(splitRight,[status(thm)],[c_6]) ).
tff(c_14,plain,
( r('#skF_1')
| r('#skF_2')
| ~ s('#skF_3') ),
inference(cnfTransformation,[status(thm)],[f_36]) ).
tff(c_106,plain,
( r('#skF_1')
| r('#skF_2') ),
inference(demodulation,[status(thm),theory(equality)],[c_95,c_14]) ).
tff(c_107,plain,
r('#skF_1'),
inference(negUnitSimplification,[status(thm)],[c_96,c_106]) ).
tff(c_2,plain,
! [X_1] :
( s(X_1)
| ~ r(X_1)
| ~ s('#skF_3') ),
inference(cnfTransformation,[status(thm)],[f_36]) ).
tff(c_102,plain,
! [X_1] :
( s(X_1)
| ~ r(X_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_95,c_2]) ).
tff(c_12,plain,
( ~ s('#skF_1')
| ~ r('#skF_1')
| r('#skF_2')
| ~ s('#skF_3') ),
inference(cnfTransformation,[status(thm)],[f_36]) ).
tff(c_118,plain,
( ~ s('#skF_1')
| r('#skF_2') ),
inference(demodulation,[status(thm),theory(equality)],[c_95,c_107,c_12]) ).
tff(c_119,plain,
~ s('#skF_1'),
inference(negUnitSimplification,[status(thm)],[c_96,c_118]) ).
tff(c_122,plain,
~ r('#skF_1'),
inference(resolution,[status(thm)],[c_102,c_119]) ).
tff(c_126,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_107,c_122]) ).
tff(c_127,plain,
r('#skF_1'),
inference(splitRight,[status(thm)],[c_94]) ).
tff(c_135,plain,
! [X_1] :
( s(X_1)
| ~ r(X_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_95,c_2]) ).
tff(c_128,plain,
r('#skF_2'),
inference(splitRight,[status(thm)],[c_94]) ).
tff(c_4,plain,
( ~ s('#skF_1')
| ~ r('#skF_1')
| ~ r('#skF_2')
| ~ s('#skF_3') ),
inference(cnfTransformation,[status(thm)],[f_36]) ).
tff(c_142,plain,
~ s('#skF_1'),
inference(demodulation,[status(thm),theory(equality)],[c_95,c_128,c_127,c_4]) ).
tff(c_145,plain,
~ r('#skF_1'),
inference(resolution,[status(thm)],[c_135,c_142]) ).
tff(c_149,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_127,c_145]) ).
tff(c_151,plain,
~ r('#skF_3'),
inference(splitRight,[status(thm)],[c_28]) ).
tff(c_150,plain,
( r('#skF_2')
| r('#skF_1') ),
inference(splitRight,[status(thm)],[c_28]) ).
tff(c_152,plain,
r('#skF_1'),
inference(splitLeft,[status(thm)],[c_150]) ).
tff(c_16,plain,
! [X_1] :
( s(X_1)
| ~ r(X_1)
| r('#skF_3') ),
inference(cnfTransformation,[status(thm)],[f_36]) ).
tff(c_161,plain,
! [X_1] :
( s(X_1)
| ~ r(X_1) ),
inference(negUnitSimplification,[status(thm)],[c_151,c_16]) ).
tff(c_22,plain,
( ~ s('#skF_1')
| ~ r('#skF_1')
| s('#skF_2')
| r('#skF_3') ),
inference(cnfTransformation,[status(thm)],[f_36]) ).
tff(c_173,plain,
( ~ s('#skF_1')
| s('#skF_2')
| r('#skF_3') ),
inference(demodulation,[status(thm),theory(equality)],[c_152,c_22]) ).
tff(c_174,plain,
( ~ s('#skF_1')
| s('#skF_2') ),
inference(negUnitSimplification,[status(thm)],[c_151,c_173]) ).
tff(c_175,plain,
~ s('#skF_1'),
inference(splitLeft,[status(thm)],[c_174]) ).
tff(c_178,plain,
~ r('#skF_1'),
inference(resolution,[status(thm)],[c_161,c_175]) ).
tff(c_182,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_152,c_178]) ).
tff(c_184,plain,
s('#skF_1'),
inference(splitRight,[status(thm)],[c_174]) ).
tff(c_26,plain,
( ~ s('#skF_1')
| ~ r('#skF_1')
| r('#skF_2')
| r('#skF_3') ),
inference(cnfTransformation,[status(thm)],[f_36]) ).
tff(c_190,plain,
( r('#skF_2')
| r('#skF_3') ),
inference(demodulation,[status(thm),theory(equality)],[c_152,c_184,c_26]) ).
tff(c_191,plain,
r('#skF_2'),
inference(negUnitSimplification,[status(thm)],[c_151,c_190]) ).
tff(c_18,plain,
( ~ s('#skF_1')
| ~ r('#skF_1')
| ~ r('#skF_2')
| r('#skF_3') ),
inference(cnfTransformation,[status(thm)],[f_36]) ).
tff(c_193,plain,
r('#skF_3'),
inference(demodulation,[status(thm),theory(equality)],[c_191,c_152,c_184,c_18]) ).
tff(c_194,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_151,c_193]) ).
tff(c_196,plain,
~ r('#skF_1'),
inference(splitRight,[status(thm)],[c_150]) ).
tff(c_195,plain,
r('#skF_2'),
inference(splitRight,[status(thm)],[c_150]) ).
tff(c_20,plain,
( r('#skF_1')
| ~ r('#skF_2')
| r('#skF_3') ),
inference(cnfTransformation,[status(thm)],[f_36]) ).
tff(c_198,plain,
( r('#skF_1')
| r('#skF_3') ),
inference(demodulation,[status(thm),theory(equality)],[c_195,c_20]) ).
tff(c_199,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_151,c_196,c_198]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYN724+1 : TPTP v9.0.0. Released v2.5.0.
% 0.07/0.13 % 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 : n031.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 08:12:37 EDT 2025
% 0.13/0.34 % CPUTime :
% 2.79/1.65 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.79/1.65
% 2.79/1.65 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------