TSTP Solution File: KRS170+1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : KRS170+1 : TPTP v8.1.2. Released v3.1.0.
% 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 : n004.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 : Tue Aug 22 10:46:02 EDT 2023
% Result : Theorem 3.50s 1.93s
% Output : CNFRefutation 3.71s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 18
% Syntax : Number of formulae : 170 ( 80 unt; 14 typ; 0 def)
% Number of atoms : 389 ( 0 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 400 ( 167 ~; 223 |; 5 &)
% ( 3 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 8 ( 6 >; 2 *; 0 +; 0 <<)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 8 con; 0-0 aty)
% Number of variables : 18 (; 18 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ rhasLeader > rhasHead > xsd_string > xsd_integer > cowlThing > cowlNothing > #nlpp > #skF_7 > #skF_5 > #skF_6 > #skF_2 > #skF_3 > #skF_1 > #skF_8 > #skF_4
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(cowlThing,type,
cowlThing: $i > $o ).
tff(rhasHead,type,
rhasHead: ( $i * $i ) > $o ).
tff('#skF_7',type,
'#skF_7': $i ).
tff(xsd_integer,type,
xsd_integer: $i > $o ).
tff('#skF_5',type,
'#skF_5': $i ).
tff('#skF_6',type,
'#skF_6': $i ).
tff('#skF_2',type,
'#skF_2': $i ).
tff('#skF_3',type,
'#skF_3': $i ).
tff('#skF_1',type,
'#skF_1': $i ).
tff('#skF_8',type,
'#skF_8': $i ).
tff(xsd_string,type,
xsd_string: $i > $o ).
tff('#skF_4',type,
'#skF_4': $i ).
tff(cowlNothing,type,
cowlNothing: $i > $o ).
tff(rhasLeader,type,
rhasLeader: ( $i * $i ) > $o ).
tff(f_44,axiom,
! [X,Y] :
( rhasLeader(X,Y)
<=> rhasHead(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).
tff(f_34,axiom,
! [X] :
( cowlThing(X)
& ~ cowlNothing(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_0) ).
tff(f_68,negated_conjecture,
~ ( ! [X] :
( cowlThing(X)
& ~ cowlNothing(X) )
& ! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) )
& ! [X,Y] :
( rhasLeader(X,Y)
=> rhasHead(X,Y) )
& ! [X,Y] :
( rhasHead(X,Y)
=> rhasLeader(X,Y) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',the_axiom) ).
tff(f_40,axiom,
! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1) ).
tff(c_12,plain,
! [X_3,Y_4] :
( rhasLeader(X_3,Y_4)
| ~ rhasHead(X_3,Y_4) ),
inference(cnfTransformation,[status(thm)],[f_44]) ).
tff(c_2,plain,
! [X_1] : cowlThing(X_1),
inference(cnfTransformation,[status(thm)],[f_34]) ).
tff(c_4,plain,
! [X_1] : ~ cowlNothing(X_1),
inference(cnfTransformation,[status(thm)],[f_34]) ).
tff(c_30,plain,
( ~ xsd_string('#skF_3')
| xsd_integer('#skF_4')
| ~ rhasHead('#skF_5','#skF_6')
| rhasHead('#skF_7','#skF_8')
| ~ cowlThing('#skF_2')
| cowlNothing('#skF_1') ),
inference(cnfTransformation,[status(thm)],[f_68]) ).
tff(c_57,plain,
( ~ xsd_string('#skF_3')
| xsd_integer('#skF_4')
| ~ rhasHead('#skF_5','#skF_6')
| rhasHead('#skF_7','#skF_8')
| ~ cowlThing('#skF_2') ),
inference(negUnitSimplification,[status(thm)],[c_4,c_30]) ).
tff(c_86,plain,
( ~ xsd_string('#skF_3')
| xsd_integer('#skF_4')
| ~ rhasHead('#skF_5','#skF_6')
| rhasHead('#skF_7','#skF_8') ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_57]) ).
tff(c_107,plain,
~ rhasHead('#skF_5','#skF_6'),
inference(splitLeft,[status(thm)],[c_86]) ).
tff(c_22,plain,
( ~ xsd_string('#skF_3')
| xsd_integer('#skF_4')
| rhasLeader('#skF_5','#skF_6')
| ~ rhasLeader('#skF_7','#skF_8')
| ~ cowlThing('#skF_2')
| cowlNothing('#skF_1') ),
inference(cnfTransformation,[status(thm)],[f_68]) ).
tff(c_52,plain,
( ~ xsd_string('#skF_3')
| xsd_integer('#skF_4')
| rhasLeader('#skF_5','#skF_6')
| ~ rhasLeader('#skF_7','#skF_8')
| ~ cowlThing('#skF_2') ),
inference(negUnitSimplification,[status(thm)],[c_4,c_22]) ).
tff(c_76,plain,
( ~ xsd_string('#skF_3')
| xsd_integer('#skF_4')
| rhasLeader('#skF_5','#skF_6')
| ~ rhasLeader('#skF_7','#skF_8') ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_52]) ).
tff(c_108,plain,
~ rhasLeader('#skF_7','#skF_8'),
inference(splitLeft,[status(thm)],[c_76]) ).
tff(c_112,plain,
~ rhasHead('#skF_7','#skF_8'),
inference(resolution,[status(thm)],[c_12,c_108]) ).
tff(c_40,plain,
( ~ xsd_integer('#skF_3')
| xsd_integer('#skF_4')
| rhasLeader('#skF_5','#skF_6')
| rhasHead('#skF_7','#skF_8')
| ~ cowlThing('#skF_2')
| cowlNothing('#skF_1') ),
inference(cnfTransformation,[status(thm)],[f_68]) ).
tff(c_45,plain,
( ~ xsd_integer('#skF_3')
| xsd_integer('#skF_4')
| rhasLeader('#skF_5','#skF_6')
| rhasHead('#skF_7','#skF_8')
| ~ cowlThing('#skF_2') ),
inference(negUnitSimplification,[status(thm)],[c_4,c_40]) ).
tff(c_62,plain,
( ~ xsd_integer('#skF_3')
| xsd_integer('#skF_4')
| rhasLeader('#skF_5','#skF_6')
| rhasHead('#skF_7','#skF_8') ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_45]) ).
tff(c_113,plain,
( ~ xsd_integer('#skF_3')
| xsd_integer('#skF_4')
| rhasLeader('#skF_5','#skF_6') ),
inference(negUnitSimplification,[status(thm)],[c_112,c_62]) ).
tff(c_114,plain,
~ xsd_integer('#skF_3'),
inference(splitLeft,[status(thm)],[c_113]) ).
tff(c_8,plain,
! [X_2] :
( xsd_string(X_2)
| xsd_integer(X_2) ),
inference(cnfTransformation,[status(thm)],[f_40]) ).
tff(c_38,plain,
( ~ xsd_string('#skF_3')
| xsd_integer('#skF_4')
| rhasLeader('#skF_5','#skF_6')
| rhasHead('#skF_7','#skF_8')
| ~ cowlThing('#skF_2')
| cowlNothing('#skF_1') ),
inference(cnfTransformation,[status(thm)],[f_68]) ).
tff(c_48,plain,
( ~ xsd_string('#skF_3')
| xsd_integer('#skF_4')
| rhasLeader('#skF_5','#skF_6')
| rhasHead('#skF_7','#skF_8')
| ~ cowlThing('#skF_2') ),
inference(negUnitSimplification,[status(thm)],[c_4,c_38]) ).
tff(c_68,plain,
( ~ xsd_string('#skF_3')
| xsd_integer('#skF_4')
| rhasLeader('#skF_5','#skF_6')
| rhasHead('#skF_7','#skF_8') ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_48]) ).
tff(c_117,plain,
( ~ xsd_string('#skF_3')
| xsd_integer('#skF_4')
| rhasLeader('#skF_5','#skF_6') ),
inference(negUnitSimplification,[status(thm)],[c_112,c_68]) ).
tff(c_118,plain,
~ xsd_string('#skF_3'),
inference(splitLeft,[status(thm)],[c_117]) ).
tff(c_121,plain,
xsd_integer('#skF_3'),
inference(resolution,[status(thm)],[c_8,c_118]) ).
tff(c_125,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_114,c_121]) ).
tff(c_126,plain,
( rhasLeader('#skF_5','#skF_6')
| xsd_integer('#skF_4') ),
inference(splitRight,[status(thm)],[c_117]) ).
tff(c_132,plain,
xsd_integer('#skF_4'),
inference(splitLeft,[status(thm)],[c_126]) ).
tff(c_127,plain,
xsd_string('#skF_3'),
inference(splitRight,[status(thm)],[c_117]) ).
tff(c_42,plain,
( ~ xsd_string('#skF_3')
| xsd_string('#skF_4')
| rhasLeader('#skF_5','#skF_6')
| rhasHead('#skF_7','#skF_8')
| ~ cowlThing('#skF_2')
| cowlNothing('#skF_1') ),
inference(cnfTransformation,[status(thm)],[f_68]) ).
tff(c_59,plain,
( ~ xsd_string('#skF_3')
| xsd_string('#skF_4')
| rhasLeader('#skF_5','#skF_6')
| rhasHead('#skF_7','#skF_8')
| ~ cowlThing('#skF_2') ),
inference(negUnitSimplification,[status(thm)],[c_4,c_42]) ).
tff(c_90,plain,
( ~ xsd_string('#skF_3')
| xsd_string('#skF_4')
| rhasLeader('#skF_5','#skF_6')
| rhasHead('#skF_7','#skF_8') ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_59]) ).
tff(c_136,plain,
( xsd_string('#skF_4')
| rhasLeader('#skF_5','#skF_6')
| rhasHead('#skF_7','#skF_8') ),
inference(demodulation,[status(thm),theory(equality)],[c_127,c_90]) ).
tff(c_137,plain,
( xsd_string('#skF_4')
| rhasLeader('#skF_5','#skF_6') ),
inference(negUnitSimplification,[status(thm)],[c_112,c_136]) ).
tff(c_138,plain,
rhasLeader('#skF_5','#skF_6'),
inference(splitLeft,[status(thm)],[c_137]) ).
tff(c_10,plain,
! [X_3,Y_4] :
( rhasHead(X_3,Y_4)
| ~ rhasLeader(X_3,Y_4) ),
inference(cnfTransformation,[status(thm)],[f_44]) ).
tff(c_141,plain,
rhasHead('#skF_5','#skF_6'),
inference(resolution,[status(thm)],[c_138,c_10]) ).
tff(c_145,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_107,c_141]) ).
tff(c_146,plain,
xsd_string('#skF_4'),
inference(splitRight,[status(thm)],[c_137]) ).
tff(c_6,plain,
! [X_2] :
( ~ xsd_integer(X_2)
| ~ xsd_string(X_2) ),
inference(cnfTransformation,[status(thm)],[f_40]) ).
tff(c_153,plain,
~ xsd_integer('#skF_4'),
inference(resolution,[status(thm)],[c_146,c_6]) ).
tff(c_157,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_132,c_153]) ).
tff(c_158,plain,
rhasLeader('#skF_5','#skF_6'),
inference(splitRight,[status(thm)],[c_126]) ).
tff(c_162,plain,
rhasHead('#skF_5','#skF_6'),
inference(resolution,[status(thm)],[c_158,c_10]) ).
tff(c_166,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_107,c_162]) ).
tff(c_167,plain,
( rhasLeader('#skF_5','#skF_6')
| xsd_integer('#skF_4') ),
inference(splitRight,[status(thm)],[c_113]) ).
tff(c_169,plain,
xsd_integer('#skF_4'),
inference(splitLeft,[status(thm)],[c_167]) ).
tff(c_168,plain,
xsd_integer('#skF_3'),
inference(splitRight,[status(thm)],[c_113]) ).
tff(c_44,plain,
( ~ xsd_integer('#skF_3')
| xsd_string('#skF_4')
| rhasLeader('#skF_5','#skF_6')
| rhasHead('#skF_7','#skF_8')
| ~ cowlThing('#skF_2')
| cowlNothing('#skF_1') ),
inference(cnfTransformation,[status(thm)],[f_68]) ).
tff(c_49,plain,
( ~ xsd_integer('#skF_3')
| xsd_string('#skF_4')
| rhasLeader('#skF_5','#skF_6')
| rhasHead('#skF_7','#skF_8')
| ~ cowlThing('#skF_2') ),
inference(negUnitSimplification,[status(thm)],[c_4,c_44]) ).
tff(c_70,plain,
( ~ xsd_integer('#skF_3')
| xsd_string('#skF_4')
| rhasLeader('#skF_5','#skF_6')
| rhasHead('#skF_7','#skF_8') ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_49]) ).
tff(c_174,plain,
( xsd_string('#skF_4')
| rhasLeader('#skF_5','#skF_6')
| rhasHead('#skF_7','#skF_8') ),
inference(demodulation,[status(thm),theory(equality)],[c_168,c_70]) ).
tff(c_175,plain,
( xsd_string('#skF_4')
| rhasLeader('#skF_5','#skF_6') ),
inference(negUnitSimplification,[status(thm)],[c_112,c_174]) ).
tff(c_176,plain,
rhasLeader('#skF_5','#skF_6'),
inference(splitLeft,[status(thm)],[c_175]) ).
tff(c_180,plain,
rhasHead('#skF_5','#skF_6'),
inference(resolution,[status(thm)],[c_176,c_10]) ).
tff(c_184,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_107,c_180]) ).
tff(c_185,plain,
xsd_string('#skF_4'),
inference(splitRight,[status(thm)],[c_175]) ).
tff(c_189,plain,
~ xsd_integer('#skF_4'),
inference(resolution,[status(thm)],[c_185,c_6]) ).
tff(c_193,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_169,c_189]) ).
tff(c_194,plain,
rhasLeader('#skF_5','#skF_6'),
inference(splitRight,[status(thm)],[c_167]) ).
tff(c_198,plain,
rhasHead('#skF_5','#skF_6'),
inference(resolution,[status(thm)],[c_194,c_10]) ).
tff(c_202,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_107,c_198]) ).
tff(c_204,plain,
rhasLeader('#skF_7','#skF_8'),
inference(splitRight,[status(thm)],[c_76]) ).
tff(c_203,plain,
( ~ xsd_string('#skF_3')
| rhasLeader('#skF_5','#skF_6')
| xsd_integer('#skF_4') ),
inference(splitRight,[status(thm)],[c_76]) ).
tff(c_209,plain,
~ xsd_string('#skF_3'),
inference(splitLeft,[status(thm)],[c_203]) ).
tff(c_213,plain,
xsd_integer('#skF_3'),
inference(resolution,[status(thm)],[c_8,c_209]) ).
tff(c_24,plain,
( ~ xsd_integer('#skF_3')
| xsd_integer('#skF_4')
| rhasLeader('#skF_5','#skF_6')
| ~ rhasLeader('#skF_7','#skF_8')
| ~ cowlThing('#skF_2')
| cowlNothing('#skF_1') ),
inference(cnfTransformation,[status(thm)],[f_68]) ).
tff(c_51,plain,
( ~ xsd_integer('#skF_3')
| xsd_integer('#skF_4')
| rhasLeader('#skF_5','#skF_6')
| ~ rhasLeader('#skF_7','#skF_8')
| ~ cowlThing('#skF_2') ),
inference(negUnitSimplification,[status(thm)],[c_4,c_24]) ).
tff(c_74,plain,
( ~ xsd_integer('#skF_3')
| xsd_integer('#skF_4')
| rhasLeader('#skF_5','#skF_6')
| ~ rhasLeader('#skF_7','#skF_8') ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_51]) ).
tff(c_216,plain,
( xsd_integer('#skF_4')
| rhasLeader('#skF_5','#skF_6') ),
inference(demodulation,[status(thm),theory(equality)],[c_204,c_213,c_74]) ).
tff(c_217,plain,
rhasLeader('#skF_5','#skF_6'),
inference(splitLeft,[status(thm)],[c_216]) ).
tff(c_220,plain,
rhasHead('#skF_5','#skF_6'),
inference(resolution,[status(thm)],[c_217,c_10]) ).
tff(c_224,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_107,c_220]) ).
tff(c_225,plain,
xsd_integer('#skF_4'),
inference(splitRight,[status(thm)],[c_216]) ).
tff(c_226,plain,
~ rhasLeader('#skF_5','#skF_6'),
inference(splitRight,[status(thm)],[c_216]) ).
tff(c_28,plain,
( ~ xsd_integer('#skF_3')
| xsd_string('#skF_4')
| rhasLeader('#skF_5','#skF_6')
| ~ rhasLeader('#skF_7','#skF_8')
| ~ cowlThing('#skF_2')
| cowlNothing('#skF_1') ),
inference(cnfTransformation,[status(thm)],[f_68]) ).
tff(c_58,plain,
( ~ xsd_integer('#skF_3')
| xsd_string('#skF_4')
| rhasLeader('#skF_5','#skF_6')
| ~ rhasLeader('#skF_7','#skF_8')
| ~ cowlThing('#skF_2') ),
inference(negUnitSimplification,[status(thm)],[c_4,c_28]) ).
tff(c_88,plain,
( ~ xsd_integer('#skF_3')
| xsd_string('#skF_4')
| rhasLeader('#skF_5','#skF_6')
| ~ rhasLeader('#skF_7','#skF_8') ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_58]) ).
tff(c_246,plain,
( xsd_string('#skF_4')
| rhasLeader('#skF_5','#skF_6') ),
inference(demodulation,[status(thm),theory(equality)],[c_204,c_213,c_88]) ).
tff(c_247,plain,
xsd_string('#skF_4'),
inference(negUnitSimplification,[status(thm)],[c_226,c_246]) ).
tff(c_250,plain,
~ xsd_integer('#skF_4'),
inference(resolution,[status(thm)],[c_247,c_6]) ).
tff(c_254,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_225,c_250]) ).
tff(c_255,plain,
( xsd_integer('#skF_4')
| rhasLeader('#skF_5','#skF_6') ),
inference(splitRight,[status(thm)],[c_203]) ).
tff(c_261,plain,
rhasLeader('#skF_5','#skF_6'),
inference(splitLeft,[status(thm)],[c_255]) ).
tff(c_264,plain,
rhasHead('#skF_5','#skF_6'),
inference(resolution,[status(thm)],[c_261,c_10]) ).
tff(c_268,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_107,c_264]) ).
tff(c_269,plain,
xsd_integer('#skF_4'),
inference(splitRight,[status(thm)],[c_255]) ).
tff(c_270,plain,
~ rhasLeader('#skF_5','#skF_6'),
inference(splitRight,[status(thm)],[c_255]) ).
tff(c_256,plain,
xsd_string('#skF_3'),
inference(splitRight,[status(thm)],[c_203]) ).
tff(c_26,plain,
( ~ xsd_string('#skF_3')
| xsd_string('#skF_4')
| rhasLeader('#skF_5','#skF_6')
| ~ rhasLeader('#skF_7','#skF_8')
| ~ cowlThing('#skF_2')
| cowlNothing('#skF_1') ),
inference(cnfTransformation,[status(thm)],[f_68]) ).
tff(c_60,plain,
( ~ xsd_string('#skF_3')
| xsd_string('#skF_4')
| rhasLeader('#skF_5','#skF_6')
| ~ rhasLeader('#skF_7','#skF_8')
| ~ cowlThing('#skF_2') ),
inference(negUnitSimplification,[status(thm)],[c_4,c_26]) ).
tff(c_92,plain,
( ~ xsd_string('#skF_3')
| xsd_string('#skF_4')
| rhasLeader('#skF_5','#skF_6')
| ~ rhasLeader('#skF_7','#skF_8') ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_60]) ).
tff(c_294,plain,
( xsd_string('#skF_4')
| rhasLeader('#skF_5','#skF_6') ),
inference(demodulation,[status(thm),theory(equality)],[c_204,c_256,c_92]) ).
tff(c_295,plain,
xsd_string('#skF_4'),
inference(negUnitSimplification,[status(thm)],[c_270,c_294]) ).
tff(c_298,plain,
~ xsd_integer('#skF_4'),
inference(resolution,[status(thm)],[c_295,c_6]) ).
tff(c_302,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_269,c_298]) ).
tff(c_304,plain,
rhasHead('#skF_5','#skF_6'),
inference(splitRight,[status(thm)],[c_86]) ).
tff(c_14,plain,
( ~ xsd_string('#skF_3')
| xsd_integer('#skF_4')
| ~ rhasHead('#skF_5','#skF_6')
| ~ rhasLeader('#skF_7','#skF_8')
| ~ cowlThing('#skF_2')
| cowlNothing('#skF_1') ),
inference(cnfTransformation,[status(thm)],[f_68]) ).
tff(c_56,plain,
( ~ xsd_string('#skF_3')
| xsd_integer('#skF_4')
| ~ rhasHead('#skF_5','#skF_6')
| ~ rhasLeader('#skF_7','#skF_8')
| ~ cowlThing('#skF_2') ),
inference(negUnitSimplification,[status(thm)],[c_4,c_14]) ).
tff(c_84,plain,
( ~ xsd_string('#skF_3')
| xsd_integer('#skF_4')
| ~ rhasHead('#skF_5','#skF_6')
| ~ rhasLeader('#skF_7','#skF_8') ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_56]) ).
tff(c_307,plain,
( ~ xsd_string('#skF_3')
| xsd_integer('#skF_4')
| ~ rhasLeader('#skF_7','#skF_8') ),
inference(demodulation,[status(thm),theory(equality)],[c_304,c_84]) ).
tff(c_308,plain,
~ rhasLeader('#skF_7','#skF_8'),
inference(splitLeft,[status(thm)],[c_307]) ).
tff(c_316,plain,
~ rhasHead('#skF_7','#skF_8'),
inference(resolution,[status(thm)],[c_12,c_308]) ).
tff(c_303,plain,
( ~ xsd_string('#skF_3')
| rhasHead('#skF_7','#skF_8')
| xsd_integer('#skF_4') ),
inference(splitRight,[status(thm)],[c_86]) ).
tff(c_305,plain,
~ xsd_string('#skF_3'),
inference(splitLeft,[status(thm)],[c_303]) ).
tff(c_312,plain,
xsd_integer('#skF_3'),
inference(resolution,[status(thm)],[c_8,c_305]) ).
tff(c_36,plain,
( ~ xsd_integer('#skF_3')
| xsd_string('#skF_4')
| ~ rhasHead('#skF_5','#skF_6')
| rhasHead('#skF_7','#skF_8')
| ~ cowlThing('#skF_2')
| cowlNothing('#skF_1') ),
inference(cnfTransformation,[status(thm)],[f_68]) ).
tff(c_50,plain,
( ~ xsd_integer('#skF_3')
| xsd_string('#skF_4')
| ~ rhasHead('#skF_5','#skF_6')
| rhasHead('#skF_7','#skF_8')
| ~ cowlThing('#skF_2') ),
inference(negUnitSimplification,[status(thm)],[c_4,c_36]) ).
tff(c_72,plain,
( ~ xsd_integer('#skF_3')
| xsd_string('#skF_4')
| ~ rhasHead('#skF_5','#skF_6')
| rhasHead('#skF_7','#skF_8') ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_50]) ).
tff(c_327,plain,
( xsd_string('#skF_4')
| rhasHead('#skF_7','#skF_8') ),
inference(demodulation,[status(thm),theory(equality)],[c_304,c_312,c_72]) ).
tff(c_328,plain,
xsd_string('#skF_4'),
inference(negUnitSimplification,[status(thm)],[c_316,c_327]) ).
tff(c_332,plain,
~ xsd_integer('#skF_4'),
inference(resolution,[status(thm)],[c_328,c_6]) ).
tff(c_32,plain,
( ~ xsd_integer('#skF_3')
| xsd_integer('#skF_4')
| ~ rhasHead('#skF_5','#skF_6')
| rhasHead('#skF_7','#skF_8')
| ~ cowlThing('#skF_2')
| cowlNothing('#skF_1') ),
inference(cnfTransformation,[status(thm)],[f_68]) ).
tff(c_47,plain,
( ~ xsd_integer('#skF_3')
| xsd_integer('#skF_4')
| ~ rhasHead('#skF_5','#skF_6')
| rhasHead('#skF_7','#skF_8')
| ~ cowlThing('#skF_2') ),
inference(negUnitSimplification,[status(thm)],[c_4,c_32]) ).
tff(c_66,plain,
( ~ xsd_integer('#skF_3')
| xsd_integer('#skF_4')
| ~ rhasHead('#skF_5','#skF_6')
| rhasHead('#skF_7','#skF_8') ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_47]) ).
tff(c_344,plain,
( xsd_integer('#skF_4')
| rhasHead('#skF_7','#skF_8') ),
inference(demodulation,[status(thm),theory(equality)],[c_304,c_312,c_66]) ).
tff(c_345,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_316,c_332,c_344]) ).
tff(c_347,plain,
rhasLeader('#skF_7','#skF_8'),
inference(splitRight,[status(thm)],[c_307]) ).
tff(c_351,plain,
xsd_integer('#skF_3'),
inference(resolution,[status(thm)],[c_8,c_305]) ).
tff(c_16,plain,
( ~ xsd_integer('#skF_3')
| xsd_integer('#skF_4')
| ~ rhasHead('#skF_5','#skF_6')
| ~ rhasLeader('#skF_7','#skF_8')
| ~ cowlThing('#skF_2')
| cowlNothing('#skF_1') ),
inference(cnfTransformation,[status(thm)],[f_68]) ).
tff(c_55,plain,
( ~ xsd_integer('#skF_3')
| xsd_integer('#skF_4')
| ~ rhasHead('#skF_5','#skF_6')
| ~ rhasLeader('#skF_7','#skF_8')
| ~ cowlThing('#skF_2') ),
inference(negUnitSimplification,[status(thm)],[c_4,c_16]) ).
tff(c_82,plain,
( ~ xsd_integer('#skF_3')
| xsd_integer('#skF_4')
| ~ rhasHead('#skF_5','#skF_6')
| ~ rhasLeader('#skF_7','#skF_8') ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_55]) ).
tff(c_357,plain,
xsd_integer('#skF_4'),
inference(demodulation,[status(thm),theory(equality)],[c_347,c_304,c_351,c_82]) ).
tff(c_20,plain,
( ~ xsd_integer('#skF_3')
| xsd_string('#skF_4')
| ~ rhasHead('#skF_5','#skF_6')
| ~ rhasLeader('#skF_7','#skF_8')
| ~ cowlThing('#skF_2')
| cowlNothing('#skF_1') ),
inference(cnfTransformation,[status(thm)],[f_68]) ).
tff(c_53,plain,
( ~ xsd_integer('#skF_3')
| xsd_string('#skF_4')
| ~ rhasHead('#skF_5','#skF_6')
| ~ rhasLeader('#skF_7','#skF_8')
| ~ cowlThing('#skF_2') ),
inference(negUnitSimplification,[status(thm)],[c_4,c_20]) ).
tff(c_78,plain,
( ~ xsd_integer('#skF_3')
| xsd_string('#skF_4')
| ~ rhasHead('#skF_5','#skF_6')
| ~ rhasLeader('#skF_7','#skF_8') ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_53]) ).
tff(c_363,plain,
xsd_string('#skF_4'),
inference(demodulation,[status(thm),theory(equality)],[c_347,c_304,c_351,c_78]) ).
tff(c_366,plain,
~ xsd_integer('#skF_4'),
inference(resolution,[status(thm)],[c_363,c_6]) ).
tff(c_370,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_357,c_366]) ).
tff(c_371,plain,
( xsd_integer('#skF_4')
| rhasHead('#skF_7','#skF_8') ),
inference(splitRight,[status(thm)],[c_303]) ).
tff(c_377,plain,
rhasHead('#skF_7','#skF_8'),
inference(splitLeft,[status(thm)],[c_371]) ).
tff(c_372,plain,
xsd_string('#skF_3'),
inference(splitRight,[status(thm)],[c_303]) ).
tff(c_381,plain,
( xsd_integer('#skF_4')
| ~ rhasLeader('#skF_7','#skF_8') ),
inference(demodulation,[status(thm),theory(equality)],[c_304,c_372,c_84]) ).
tff(c_382,plain,
~ rhasLeader('#skF_7','#skF_8'),
inference(splitLeft,[status(thm)],[c_381]) ).
tff(c_385,plain,
~ rhasHead('#skF_7','#skF_8'),
inference(resolution,[status(thm)],[c_12,c_382]) ).
tff(c_389,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_377,c_385]) ).
tff(c_390,plain,
xsd_integer('#skF_4'),
inference(splitRight,[status(thm)],[c_381]) ).
tff(c_391,plain,
rhasLeader('#skF_7','#skF_8'),
inference(splitRight,[status(thm)],[c_381]) ).
tff(c_18,plain,
( ~ xsd_string('#skF_3')
| xsd_string('#skF_4')
| ~ rhasHead('#skF_5','#skF_6')
| ~ rhasLeader('#skF_7','#skF_8')
| ~ cowlThing('#skF_2')
| cowlNothing('#skF_1') ),
inference(cnfTransformation,[status(thm)],[f_68]) ).
tff(c_54,plain,
( ~ xsd_string('#skF_3')
| xsd_string('#skF_4')
| ~ rhasHead('#skF_5','#skF_6')
| ~ rhasLeader('#skF_7','#skF_8')
| ~ cowlThing('#skF_2') ),
inference(negUnitSimplification,[status(thm)],[c_4,c_18]) ).
tff(c_80,plain,
( ~ xsd_string('#skF_3')
| xsd_string('#skF_4')
| ~ rhasHead('#skF_5','#skF_6')
| ~ rhasLeader('#skF_7','#skF_8') ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_54]) ).
tff(c_413,plain,
xsd_string('#skF_4'),
inference(demodulation,[status(thm),theory(equality)],[c_391,c_304,c_372,c_80]) ).
tff(c_416,plain,
~ xsd_integer('#skF_4'),
inference(resolution,[status(thm)],[c_413,c_6]) ).
tff(c_420,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_390,c_416]) ).
tff(c_421,plain,
xsd_integer('#skF_4'),
inference(splitRight,[status(thm)],[c_371]) ).
tff(c_422,plain,
~ rhasHead('#skF_7','#skF_8'),
inference(splitRight,[status(thm)],[c_371]) ).
tff(c_34,plain,
( ~ xsd_string('#skF_3')
| xsd_string('#skF_4')
| ~ rhasHead('#skF_5','#skF_6')
| rhasHead('#skF_7','#skF_8')
| ~ cowlThing('#skF_2')
| cowlNothing('#skF_1') ),
inference(cnfTransformation,[status(thm)],[f_68]) ).
tff(c_46,plain,
( ~ xsd_string('#skF_3')
| xsd_string('#skF_4')
| ~ rhasHead('#skF_5','#skF_6')
| rhasHead('#skF_7','#skF_8')
| ~ cowlThing('#skF_2') ),
inference(negUnitSimplification,[status(thm)],[c_4,c_34]) ).
tff(c_64,plain,
( ~ xsd_string('#skF_3')
| xsd_string('#skF_4')
| ~ rhasHead('#skF_5','#skF_6')
| rhasHead('#skF_7','#skF_8') ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_46]) ).
tff(c_463,plain,
( xsd_string('#skF_4')
| rhasHead('#skF_7','#skF_8') ),
inference(demodulation,[status(thm),theory(equality)],[c_304,c_372,c_64]) ).
tff(c_464,plain,
xsd_string('#skF_4'),
inference(negUnitSimplification,[status(thm)],[c_422,c_463]) ).
tff(c_467,plain,
~ xsd_integer('#skF_4'),
inference(resolution,[status(thm)],[c_464,c_6]) ).
tff(c_471,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_421,c_467]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : KRS170+1 : TPTP v8.1.2. Released v3.1.0.
% 0.00/0.14 % 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
% 0.17/0.35 % Computer : n004.cluster.edu
% 0.17/0.35 % Model : x86_64 x86_64
% 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.35 % Memory : 8042.1875MB
% 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.35 % CPULimit : 300
% 0.17/0.35 % WCLimit : 300
% 0.17/0.35 % DateTime : Thu Aug 3 20:02:56 EDT 2023
% 0.17/0.36 % CPUTime :
% 3.50/1.93 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.68/1.95
% 3.68/1.95 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 3.71/2.00
% 3.71/2.00 Inference rules
% 3.71/2.00 ----------------------
% 3.71/2.00 #Ref : 0
% 3.71/2.00 #Sup : 34
% 3.71/2.00 #Fact : 0
% 3.71/2.00 #Define : 0
% 3.71/2.00 #Split : 17
% 3.71/2.00 #Chain : 0
% 3.71/2.00 #Close : 0
% 3.71/2.00
% 3.71/2.00 Ordering : KBO
% 3.71/2.00
% 3.71/2.00 Simplification rules
% 3.71/2.00 ----------------------
% 3.71/2.00 #Subsume : 56
% 3.71/2.00 #Demod : 141
% 3.71/2.00 #Tautology : 14
% 3.71/2.00 #SimpNegUnit : 53
% 3.71/2.00 #BackRed : 0
% 3.71/2.00
% 3.71/2.00 #Partial instantiations: 0
% 3.71/2.00 #Strategies tried : 1
% 3.71/2.00
% 3.71/2.00 Timing (in seconds)
% 3.71/2.00 ----------------------
% 3.71/2.00 Preprocessing : 0.45
% 3.71/2.00 Parsing : 0.23
% 3.71/2.00 CNF conversion : 0.03
% 3.71/2.00 Main loop : 0.44
% 3.71/2.00 Inferencing : 0.13
% 3.71/2.00 Reduction : 0.12
% 3.71/2.00 Demodulation : 0.07
% 3.71/2.00 BG Simplification : 0.02
% 3.71/2.00 Subsumption : 0.12
% 3.71/2.00 Abstraction : 0.02
% 3.71/2.00 MUC search : 0.00
% 3.71/2.00 Cooper : 0.00
% 3.71/2.00 Total : 0.96
% 3.71/2.00 Index Insertion : 0.00
% 3.71/2.00 Index Deletion : 0.00
% 3.71/2.00 Index Matching : 0.00
% 3.71/2.00 BG Taut test : 0.00
%------------------------------------------------------------------------------