TSTP Solution File: KRS171+1 by Beagle---0.9.51
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : KRS171+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 : n018.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 3.32s 1.91s
% Output : CNFRefutation 3.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 19
% Syntax : Number of formulae : 146 ( 58 unt; 14 typ; 0 def)
% Number of atoms : 361 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 390 ( 161 ~; 220 |; 4 &)
% ( 3 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 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_43,axiom,
! [X,Y] :
( rhasHead(X,Y)
=> rhasLeader(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).
tff(f_33,axiom,
! [X] :
( cowlThing(X)
& ~ cowlNothing(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_0) ).
tff(f_66,negated_conjecture,
~ ( ! [X] :
( cowlThing(X)
& ~ cowlNothing(X) )
& ! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) )
& ! [X,Y] :
( rhasLeader(X,Y)
<=> rhasHead(X,Y) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',the_axiom) ).
tff(f_39,axiom,
! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1) ).
tff(f_47,axiom,
! [X,Y] :
( rhasLeader(X,Y)
=> rhasHead(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_3) ).
tff(c_10,plain,
! [X_3,Y_4] :
( rhasLeader(X_3,Y_4)
| ~ rhasHead(X_3,Y_4) ),
inference(cnfTransformation,[status(thm)],[f_43]) ).
tff(c_2,plain,
! [X_1] : cowlThing(X_1),
inference(cnfTransformation,[status(thm)],[f_33]) ).
tff(c_4,plain,
! [X_1] : ~ cowlNothing(X_1),
inference(cnfTransformation,[status(thm)],[f_33]) ).
tff(c_30,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_66]) ).
tff(c_57,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_30]) ).
tff(c_86,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_57]) ).
tff(c_107,plain,
~ rhasLeader('#skF_5','#skF_6'),
inference(splitLeft,[status(thm)],[c_86]) ).
tff(c_111,plain,
~ rhasHead('#skF_5','#skF_6'),
inference(resolution,[status(thm)],[c_10,c_107]) ).
tff(c_8,plain,
! [X_2] :
( xsd_string(X_2)
| xsd_integer(X_2) ),
inference(cnfTransformation,[status(thm)],[f_39]) ).
tff(c_42,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_66]) ).
tff(c_59,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_42]) ).
tff(c_90,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_59]) ).
tff(c_112,plain,
( ~ xsd_string('#skF_3')
| xsd_string('#skF_4')
| rhasLeader('#skF_7','#skF_8') ),
inference(negUnitSimplification,[status(thm)],[c_111,c_90]) ).
tff(c_113,plain,
~ xsd_string('#skF_3'),
inference(splitLeft,[status(thm)],[c_112]) ).
tff(c_117,plain,
xsd_integer('#skF_3'),
inference(resolution,[status(thm)],[c_8,c_113]) ).
tff(c_28,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_66]) ).
tff(c_58,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_28]) ).
tff(c_88,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_58]) ).
tff(c_124,plain,
( xsd_string('#skF_4')
| rhasHead('#skF_5','#skF_6')
| ~ rhasHead('#skF_7','#skF_8') ),
inference(demodulation,[status(thm),theory(equality)],[c_117,c_88]) ).
tff(c_125,plain,
( xsd_string('#skF_4')
| ~ rhasHead('#skF_7','#skF_8') ),
inference(negUnitSimplification,[status(thm)],[c_111,c_124]) ).
tff(c_126,plain,
~ rhasHead('#skF_7','#skF_8'),
inference(splitLeft,[status(thm)],[c_125]) ).
tff(c_44,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_66]) ).
tff(c_49,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_44]) ).
tff(c_70,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_49]) ).
tff(c_133,plain,
( xsd_string('#skF_4')
| rhasHead('#skF_5','#skF_6')
| rhasLeader('#skF_7','#skF_8') ),
inference(demodulation,[status(thm),theory(equality)],[c_117,c_70]) ).
tff(c_134,plain,
( xsd_string('#skF_4')
| rhasLeader('#skF_7','#skF_8') ),
inference(negUnitSimplification,[status(thm)],[c_111,c_133]) ).
tff(c_135,plain,
rhasLeader('#skF_7','#skF_8'),
inference(splitLeft,[status(thm)],[c_134]) ).
tff(c_12,plain,
! [X_5,Y_6] :
( rhasHead(X_5,Y_6)
| ~ rhasLeader(X_5,Y_6) ),
inference(cnfTransformation,[status(thm)],[f_47]) ).
tff(c_138,plain,
rhasHead('#skF_7','#skF_8'),
inference(resolution,[status(thm)],[c_135,c_12]) ).
tff(c_142,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_126,c_138]) ).
tff(c_143,plain,
xsd_string('#skF_4'),
inference(splitRight,[status(thm)],[c_134]) ).
tff(c_6,plain,
! [X_2] :
( ~ xsd_integer(X_2)
| ~ xsd_string(X_2) ),
inference(cnfTransformation,[status(thm)],[f_39]) ).
tff(c_148,plain,
~ xsd_integer('#skF_4'),
inference(resolution,[status(thm)],[c_143,c_6]) ).
tff(c_40,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_66]) ).
tff(c_45,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_40]) ).
tff(c_62,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_45]) ).
tff(c_150,plain,
( xsd_integer('#skF_4')
| rhasHead('#skF_5','#skF_6')
| rhasLeader('#skF_7','#skF_8') ),
inference(demodulation,[status(thm),theory(equality)],[c_117,c_62]) ).
tff(c_151,plain,
rhasLeader('#skF_7','#skF_8'),
inference(negUnitSimplification,[status(thm)],[c_111,c_148,c_150]) ).
tff(c_154,plain,
rhasHead('#skF_7','#skF_8'),
inference(resolution,[status(thm)],[c_151,c_12]) ).
tff(c_158,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_126,c_154]) ).
tff(c_159,plain,
xsd_string('#skF_4'),
inference(splitRight,[status(thm)],[c_125]) ).
tff(c_164,plain,
~ xsd_integer('#skF_4'),
inference(resolution,[status(thm)],[c_159,c_6]) ).
tff(c_160,plain,
rhasHead('#skF_7','#skF_8'),
inference(splitRight,[status(thm)],[c_125]) ).
tff(c_24,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_66]) ).
tff(c_51,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_24]) ).
tff(c_74,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_51]) ).
tff(c_167,plain,
( xsd_integer('#skF_4')
| rhasHead('#skF_5','#skF_6') ),
inference(demodulation,[status(thm),theory(equality)],[c_160,c_117,c_74]) ).
tff(c_168,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_111,c_164,c_167]) ).
tff(c_169,plain,
( rhasLeader('#skF_7','#skF_8')
| xsd_string('#skF_4') ),
inference(splitRight,[status(thm)],[c_112]) ).
tff(c_175,plain,
xsd_string('#skF_4'),
inference(splitLeft,[status(thm)],[c_169]) ).
tff(c_179,plain,
~ xsd_integer('#skF_4'),
inference(resolution,[status(thm)],[c_175,c_6]) ).
tff(c_170,plain,
xsd_string('#skF_3'),
inference(splitRight,[status(thm)],[c_112]) ).
tff(c_22,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_66]) ).
tff(c_52,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_22]) ).
tff(c_76,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_52]) ).
tff(c_187,plain,
( xsd_integer('#skF_4')
| rhasHead('#skF_5','#skF_6')
| ~ rhasHead('#skF_7','#skF_8') ),
inference(demodulation,[status(thm),theory(equality)],[c_170,c_76]) ).
tff(c_188,plain,
~ rhasHead('#skF_7','#skF_8'),
inference(negUnitSimplification,[status(thm)],[c_111,c_179,c_187]) ).
tff(c_38,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_66]) ).
tff(c_48,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_38]) ).
tff(c_68,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_48]) ).
tff(c_194,plain,
( xsd_integer('#skF_4')
| rhasHead('#skF_5','#skF_6')
| rhasLeader('#skF_7','#skF_8') ),
inference(demodulation,[status(thm),theory(equality)],[c_170,c_68]) ).
tff(c_195,plain,
rhasLeader('#skF_7','#skF_8'),
inference(negUnitSimplification,[status(thm)],[c_111,c_179,c_194]) ).
tff(c_198,plain,
rhasHead('#skF_7','#skF_8'),
inference(resolution,[status(thm)],[c_195,c_12]) ).
tff(c_202,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_188,c_198]) ).
tff(c_204,plain,
~ xsd_string('#skF_4'),
inference(splitRight,[status(thm)],[c_169]) ).
tff(c_203,plain,
rhasLeader('#skF_7','#skF_8'),
inference(splitRight,[status(thm)],[c_169]) ).
tff(c_212,plain,
rhasHead('#skF_7','#skF_8'),
inference(resolution,[status(thm)],[c_203,c_12]) ).
tff(c_26,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_66]) ).
tff(c_60,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_26]) ).
tff(c_92,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_60]) ).
tff(c_215,plain,
( xsd_string('#skF_4')
| rhasHead('#skF_5','#skF_6') ),
inference(demodulation,[status(thm),theory(equality)],[c_212,c_170,c_92]) ).
tff(c_216,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_111,c_204,c_215]) ).
tff(c_218,plain,
rhasLeader('#skF_5','#skF_6'),
inference(splitRight,[status(thm)],[c_86]) ).
tff(c_217,plain,
( ~ xsd_string('#skF_3')
| rhasLeader('#skF_7','#skF_8')
| xsd_integer('#skF_4') ),
inference(splitRight,[status(thm)],[c_86]) ).
tff(c_223,plain,
~ xsd_string('#skF_3'),
inference(splitLeft,[status(thm)],[c_217]) ).
tff(c_227,plain,
xsd_integer('#skF_3'),
inference(resolution,[status(thm)],[c_8,c_223]) ).
tff(c_16,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_66]) ).
tff(c_55,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_16]) ).
tff(c_82,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_55]) ).
tff(c_230,plain,
( xsd_integer('#skF_4')
| ~ rhasHead('#skF_7','#skF_8') ),
inference(demodulation,[status(thm),theory(equality)],[c_218,c_227,c_82]) ).
tff(c_231,plain,
~ rhasHead('#skF_7','#skF_8'),
inference(splitLeft,[status(thm)],[c_230]) ).
tff(c_36,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_66]) ).
tff(c_50,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_36]) ).
tff(c_72,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_50]) ).
tff(c_241,plain,
( xsd_string('#skF_4')
| rhasLeader('#skF_7','#skF_8') ),
inference(demodulation,[status(thm),theory(equality)],[c_218,c_227,c_72]) ).
tff(c_242,plain,
rhasLeader('#skF_7','#skF_8'),
inference(splitLeft,[status(thm)],[c_241]) ).
tff(c_245,plain,
rhasHead('#skF_7','#skF_8'),
inference(resolution,[status(thm)],[c_242,c_12]) ).
tff(c_249,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_231,c_245]) ).
tff(c_251,plain,
~ rhasLeader('#skF_7','#skF_8'),
inference(splitRight,[status(thm)],[c_241]) ).
tff(c_250,plain,
xsd_string('#skF_4'),
inference(splitRight,[status(thm)],[c_241]) ).
tff(c_255,plain,
~ xsd_integer('#skF_4'),
inference(resolution,[status(thm)],[c_250,c_6]) ).
tff(c_32,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_66]) ).
tff(c_47,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_32]) ).
tff(c_66,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_47]) ).
tff(c_263,plain,
( xsd_integer('#skF_4')
| rhasLeader('#skF_7','#skF_8') ),
inference(demodulation,[status(thm),theory(equality)],[c_218,c_227,c_66]) ).
tff(c_264,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_251,c_255,c_263]) ).
tff(c_265,plain,
xsd_integer('#skF_4'),
inference(splitRight,[status(thm)],[c_230]) ).
tff(c_266,plain,
rhasHead('#skF_7','#skF_8'),
inference(splitRight,[status(thm)],[c_230]) ).
tff(c_20,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_66]) ).
tff(c_53,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_20]) ).
tff(c_78,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_53]) ).
tff(c_269,plain,
xsd_string('#skF_4'),
inference(demodulation,[status(thm),theory(equality)],[c_266,c_218,c_227,c_78]) ).
tff(c_272,plain,
~ xsd_integer('#skF_4'),
inference(resolution,[status(thm)],[c_269,c_6]) ).
tff(c_276,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_265,c_272]) ).
tff(c_277,plain,
( xsd_integer('#skF_4')
| rhasLeader('#skF_7','#skF_8') ),
inference(splitRight,[status(thm)],[c_217]) ).
tff(c_283,plain,
rhasLeader('#skF_7','#skF_8'),
inference(splitLeft,[status(thm)],[c_277]) ).
tff(c_289,plain,
rhasHead('#skF_7','#skF_8'),
inference(resolution,[status(thm)],[c_283,c_12]) ).
tff(c_278,plain,
xsd_string('#skF_3'),
inference(splitRight,[status(thm)],[c_217]) ).
tff(c_14,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_66]) ).
tff(c_56,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_14]) ).
tff(c_84,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_56]) ).
tff(c_291,plain,
xsd_integer('#skF_4'),
inference(demodulation,[status(thm),theory(equality)],[c_289,c_218,c_278,c_84]) ).
tff(c_18,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_66]) ).
tff(c_54,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_18]) ).
tff(c_80,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_54]) ).
tff(c_293,plain,
xsd_string('#skF_4'),
inference(demodulation,[status(thm),theory(equality)],[c_289,c_218,c_278,c_80]) ).
tff(c_296,plain,
~ xsd_integer('#skF_4'),
inference(resolution,[status(thm)],[c_293,c_6]) ).
tff(c_300,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_291,c_296]) ).
tff(c_301,plain,
xsd_integer('#skF_4'),
inference(splitRight,[status(thm)],[c_277]) ).
tff(c_302,plain,
~ rhasLeader('#skF_7','#skF_8'),
inference(splitRight,[status(thm)],[c_277]) ).
tff(c_34,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_66]) ).
tff(c_46,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_34]) ).
tff(c_64,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_46]) ).
tff(c_335,plain,
( xsd_string('#skF_4')
| rhasLeader('#skF_7','#skF_8') ),
inference(demodulation,[status(thm),theory(equality)],[c_218,c_278,c_64]) ).
tff(c_336,plain,
xsd_string('#skF_4'),
inference(negUnitSimplification,[status(thm)],[c_302,c_335]) ).
tff(c_339,plain,
~ xsd_integer('#skF_4'),
inference(resolution,[status(thm)],[c_336,c_6]) ).
tff(c_343,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_301,c_339]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.14 % Problem : KRS171+1 : TPTP v8.1.2. Released v3.1.0.
% 0.13/0.15 % 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
% 0.15/0.37 % Computer : n018.cluster.edu
% 0.15/0.37 % Model : x86_64 x86_64
% 0.15/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37 % Memory : 8042.1875MB
% 0.15/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37 % CPULimit : 300
% 0.15/0.37 % WCLimit : 300
% 0.15/0.37 % DateTime : Thu Aug 3 20:18:20 EDT 2023
% 0.22/0.37 % CPUTime :
% 3.32/1.91 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.32/1.92
% 3.32/1.92 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 3.58/1.97
% 3.58/1.97 Inference rules
% 3.58/1.97 ----------------------
% 3.66/1.97 #Ref : 0
% 3.66/1.97 #Sup : 24
% 3.66/1.97 #Fact : 0
% 3.66/1.97 #Define : 0
% 3.66/1.97 #Split : 9
% 3.66/1.97 #Chain : 0
% 3.66/1.97 #Close : 0
% 3.66/1.97
% 3.66/1.97 Ordering : KBO
% 3.66/1.97
% 3.66/1.97 Simplification rules
% 3.66/1.97 ----------------------
% 3.66/1.97 #Subsume : 37
% 3.66/1.97 #Demod : 94
% 3.66/1.97 #Tautology : 4
% 3.66/1.97 #SimpNegUnit : 41
% 3.66/1.97 #BackRed : 0
% 3.66/1.97
% 3.66/1.97 #Partial instantiations: 0
% 3.66/1.97 #Strategies tried : 1
% 3.66/1.97
% 3.66/1.97 Timing (in seconds)
% 3.66/1.97 ----------------------
% 3.66/1.97 Preprocessing : 0.45
% 3.66/1.97 Parsing : 0.24
% 3.66/1.98 CNF conversion : 0.03
% 3.66/1.98 Main loop : 0.35
% 3.66/1.98 Inferencing : 0.11
% 3.66/1.98 Reduction : 0.09
% 3.66/1.98 Demodulation : 0.06
% 3.66/1.98 BG Simplification : 0.02
% 3.66/1.98 Subsumption : 0.09
% 3.66/1.98 Abstraction : 0.01
% 3.66/1.98 MUC search : 0.00
% 3.66/1.98 Cooper : 0.00
% 3.66/1.98 Total : 0.87
% 3.66/1.98 Index Insertion : 0.00
% 3.66/1.98 Index Deletion : 0.00
% 3.66/1.98 Index Matching : 0.00
% 3.66/1.98 BG Taut test : 0.00
%------------------------------------------------------------------------------