TSTP Solution File: SET901+1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SET901+1 : TPTP v8.1.2. Released v3.2.0.
% 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 : n024.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 10:57:18 EDT 2023
% Result : Theorem 3.44s 1.97s
% Output : CNFRefutation 3.44s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 17
% Syntax : Number of formulae : 133 ( 85 unt; 13 typ; 0 def)
% Number of atoms : 207 ( 137 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 131 ( 44 ~; 79 |; 6 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 6 ( 4 >; 2 *; 0 +; 0 <<)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 9 con; 0-2 aty)
% Number of variables : 47 (; 47 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ subset > empty > unordered_pair > #nlpp > singleton > empty_set > #skF_7 > #skF_5 > #skF_6 > #skF_2 > #skF_3 > #skF_1 > #skF_8 > #skF_4
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(singleton,type,
singleton: $i > $i ).
tff(unordered_pair,type,
unordered_pair: ( $i * $i ) > $i ).
tff('#skF_7',type,
'#skF_7': $i ).
tff('#skF_5',type,
'#skF_5': $i ).
tff(subset,type,
subset: ( $i * $i ) > $o ).
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(empty,type,
empty: $i > $o ).
tff(empty_set,type,
empty_set: $i ).
tff('#skF_8',type,
'#skF_8': $i ).
tff('#skF_4',type,
'#skF_4': $i ).
tff(f_31,axiom,
! [A,B] : subset(A,A),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity_r1_tarski) ).
tff(f_53,negated_conjecture,
~ ! [A,B,C] :
( subset(A,unordered_pair(B,C))
<=> ~ ( ( A != empty_set )
& ( A != singleton(B) )
& ( A != singleton(C) )
& ( A != unordered_pair(B,C) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t42_zfmisc_1) ).
tff(f_29,axiom,
! [A,B] : ( unordered_pair(A,B) = unordered_pair(B,A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_k2_tarski) ).
tff(f_68,axiom,
! [A,B,C] :
( subset(A,unordered_pair(B,C))
<=> ~ ( ( A != empty_set )
& ( A != singleton(B) )
& ( A != singleton(C) )
& ( A != unordered_pair(B,C) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l46_zfmisc_1) ).
tff(c_4,plain,
! [A_3] : subset(A_3,A_3),
inference(cnfTransformation,[status(thm)],[f_31]) ).
tff(c_24,plain,
( ~ subset('#skF_3',unordered_pair('#skF_4','#skF_5'))
| ( empty_set != '#skF_6' ) ),
inference(cnfTransformation,[status(thm)],[f_53]) ).
tff(c_104,plain,
empty_set != '#skF_6',
inference(splitLeft,[status(thm)],[c_24]) ).
tff(c_16,plain,
( ~ subset('#skF_3',unordered_pair('#skF_4','#skF_5'))
| ( singleton('#skF_8') != '#skF_6' ) ),
inference(cnfTransformation,[status(thm)],[f_53]) ).
tff(c_107,plain,
singleton('#skF_8') != '#skF_6',
inference(splitLeft,[status(thm)],[c_16]) ).
tff(c_20,plain,
( ~ subset('#skF_3',unordered_pair('#skF_4','#skF_5'))
| ( singleton('#skF_7') != '#skF_6' ) ),
inference(cnfTransformation,[status(thm)],[f_53]) ).
tff(c_106,plain,
singleton('#skF_7') != '#skF_6',
inference(splitLeft,[status(thm)],[c_20]) ).
tff(c_2,plain,
! [B_2,A_1] : ( unordered_pair(B_2,A_1) = unordered_pair(A_1,B_2) ),
inference(cnfTransformation,[status(thm)],[f_29]) ).
tff(c_12,plain,
( ~ subset('#skF_3',unordered_pair('#skF_4','#skF_5'))
| ( unordered_pair('#skF_7','#skF_8') != '#skF_6' ) ),
inference(cnfTransformation,[status(thm)],[f_53]) ).
tff(c_42,plain,
( ~ subset('#skF_3',unordered_pair('#skF_4','#skF_5'))
| ( unordered_pair('#skF_8','#skF_7') != '#skF_6' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_12]) ).
tff(c_108,plain,
unordered_pair('#skF_8','#skF_7') != '#skF_6',
inference(splitLeft,[status(thm)],[c_42]) ).
tff(c_30,plain,
( ( unordered_pair('#skF_4','#skF_5') = '#skF_3' )
| ( singleton('#skF_5') = '#skF_3' )
| ( singleton('#skF_4') = '#skF_3' )
| ( empty_set = '#skF_3' )
| subset('#skF_6',unordered_pair('#skF_7','#skF_8')) ),
inference(cnfTransformation,[status(thm)],[f_53]) ).
tff(c_43,plain,
( ( unordered_pair('#skF_4','#skF_5') = '#skF_3' )
| ( singleton('#skF_5') = '#skF_3' )
| ( singleton('#skF_4') = '#skF_3' )
| ( empty_set = '#skF_3' )
| subset('#skF_6',unordered_pair('#skF_8','#skF_7')) ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_30]) ).
tff(c_110,plain,
subset('#skF_6',unordered_pair('#skF_8','#skF_7')),
inference(splitLeft,[status(thm)],[c_43]) ).
tff(c_111,plain,
! [B_17,C_18,A_19] :
( ( unordered_pair(B_17,C_18) = A_19 )
| ( singleton(C_18) = A_19 )
| ( singleton(B_17) = A_19 )
| ( empty_set = A_19 )
| ~ subset(A_19,unordered_pair(B_17,C_18)) ),
inference(cnfTransformation,[status(thm)],[f_68]) ).
tff(c_114,plain,
( ( unordered_pair('#skF_8','#skF_7') = '#skF_6' )
| ( singleton('#skF_7') = '#skF_6' )
| ( singleton('#skF_8') = '#skF_6' )
| ( empty_set = '#skF_6' ) ),
inference(resolution,[status(thm)],[c_110,c_111]) ).
tff(c_137,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_104,c_107,c_106,c_108,c_114]) ).
tff(c_138,plain,
( ( empty_set = '#skF_3' )
| ( singleton('#skF_4') = '#skF_3' )
| ( singleton('#skF_5') = '#skF_3' )
| ( unordered_pair('#skF_4','#skF_5') = '#skF_3' ) ),
inference(splitRight,[status(thm)],[c_43]) ).
tff(c_140,plain,
unordered_pair('#skF_4','#skF_5') = '#skF_3',
inference(splitLeft,[status(thm)],[c_138]) ).
tff(c_28,plain,
( ~ subset('#skF_3',unordered_pair('#skF_4','#skF_5'))
| subset('#skF_6',unordered_pair('#skF_7','#skF_8')) ),
inference(cnfTransformation,[status(thm)],[f_53]) ).
tff(c_45,plain,
( ~ subset('#skF_3',unordered_pair('#skF_4','#skF_5'))
| subset('#skF_6',unordered_pair('#skF_8','#skF_7')) ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_28]) ).
tff(c_109,plain,
~ subset('#skF_3',unordered_pair('#skF_4','#skF_5')),
inference(splitLeft,[status(thm)],[c_45]) ).
tff(c_141,plain,
~ subset('#skF_3','#skF_3'),
inference(demodulation,[status(thm),theory(equality)],[c_140,c_109]) ).
tff(c_144,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_141]) ).
tff(c_145,plain,
( ( singleton('#skF_5') = '#skF_3' )
| ( singleton('#skF_4') = '#skF_3' )
| ( empty_set = '#skF_3' ) ),
inference(splitRight,[status(thm)],[c_138]) ).
tff(c_147,plain,
empty_set = '#skF_3',
inference(splitLeft,[status(thm)],[c_145]) ).
tff(c_40,plain,
! [B_6,C_7] : subset(empty_set,unordered_pair(B_6,C_7)),
inference(cnfTransformation,[status(thm)],[f_68]) ).
tff(c_149,plain,
! [B_6,C_7] : subset('#skF_3',unordered_pair(B_6,C_7)),
inference(demodulation,[status(thm),theory(equality)],[c_147,c_40]) ).
tff(c_157,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_149,c_109]) ).
tff(c_158,plain,
( ( singleton('#skF_4') = '#skF_3' )
| ( singleton('#skF_5') = '#skF_3' ) ),
inference(splitRight,[status(thm)],[c_145]) ).
tff(c_160,plain,
singleton('#skF_5') = '#skF_3',
inference(splitLeft,[status(thm)],[c_158]) ).
tff(c_36,plain,
! [C_7,B_6] : subset(singleton(C_7),unordered_pair(B_6,C_7)),
inference(cnfTransformation,[status(thm)],[f_68]) ).
tff(c_164,plain,
! [B_6] : subset('#skF_3',unordered_pair(B_6,'#skF_5')),
inference(superposition,[status(thm),theory(equality)],[c_160,c_36]) ).
tff(c_173,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_164,c_109]) ).
tff(c_174,plain,
singleton('#skF_4') = '#skF_3',
inference(splitRight,[status(thm)],[c_158]) ).
tff(c_38,plain,
! [B_6,C_7] : subset(singleton(B_6),unordered_pair(B_6,C_7)),
inference(cnfTransformation,[status(thm)],[f_68]) ).
tff(c_182,plain,
! [C_7] : subset('#skF_3',unordered_pair('#skF_4',C_7)),
inference(superposition,[status(thm),theory(equality)],[c_174,c_38]) ).
tff(c_197,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_182,c_109]) ).
tff(c_198,plain,
subset('#skF_6',unordered_pair('#skF_8','#skF_7')),
inference(splitRight,[status(thm)],[c_45]) ).
tff(c_200,plain,
! [B_21,C_22,A_23] :
( ( unordered_pair(B_21,C_22) = A_23 )
| ( singleton(C_22) = A_23 )
| ( singleton(B_21) = A_23 )
| ( empty_set = A_23 )
| ~ subset(A_23,unordered_pair(B_21,C_22)) ),
inference(cnfTransformation,[status(thm)],[f_68]) ).
tff(c_206,plain,
( ( unordered_pair('#skF_8','#skF_7') = '#skF_6' )
| ( singleton('#skF_7') = '#skF_6' )
| ( singleton('#skF_8') = '#skF_6' )
| ( empty_set = '#skF_6' ) ),
inference(resolution,[status(thm)],[c_198,c_200]) ).
tff(c_230,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_104,c_107,c_106,c_108,c_206]) ).
tff(c_232,plain,
unordered_pair('#skF_8','#skF_7') = '#skF_6',
inference(splitRight,[status(thm)],[c_42]) ).
tff(c_14,plain,
( ( unordered_pair('#skF_4','#skF_5') = '#skF_3' )
| ( singleton('#skF_5') = '#skF_3' )
| ( singleton('#skF_4') = '#skF_3' )
| ( empty_set = '#skF_3' )
| ( unordered_pair('#skF_7','#skF_8') != '#skF_6' ) ),
inference(cnfTransformation,[status(thm)],[f_53]) ).
tff(c_44,plain,
( ( unordered_pair('#skF_4','#skF_5') = '#skF_3' )
| ( singleton('#skF_5') = '#skF_3' )
| ( singleton('#skF_4') = '#skF_3' )
| ( empty_set = '#skF_3' )
| ( unordered_pair('#skF_8','#skF_7') != '#skF_6' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_14]) ).
tff(c_247,plain,
( ( unordered_pair('#skF_4','#skF_5') = '#skF_3' )
| ( singleton('#skF_5') = '#skF_3' )
| ( singleton('#skF_4') = '#skF_3' )
| ( empty_set = '#skF_3' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_232,c_44]) ).
tff(c_248,plain,
empty_set = '#skF_3',
inference(splitLeft,[status(thm)],[c_247]) ).
tff(c_251,plain,
! [B_6,C_7] : subset('#skF_3',unordered_pair(B_6,C_7)),
inference(demodulation,[status(thm),theory(equality)],[c_248,c_40]) ).
tff(c_231,plain,
~ subset('#skF_3',unordered_pair('#skF_4','#skF_5')),
inference(splitRight,[status(thm)],[c_42]) ).
tff(c_259,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_251,c_231]) ).
tff(c_260,plain,
( ( singleton('#skF_4') = '#skF_3' )
| ( singleton('#skF_5') = '#skF_3' )
| ( unordered_pair('#skF_4','#skF_5') = '#skF_3' ) ),
inference(splitRight,[status(thm)],[c_247]) ).
tff(c_262,plain,
unordered_pair('#skF_4','#skF_5') = '#skF_3',
inference(splitLeft,[status(thm)],[c_260]) ).
tff(c_263,plain,
~ subset('#skF_3','#skF_3'),
inference(demodulation,[status(thm),theory(equality)],[c_262,c_231]) ).
tff(c_266,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_263]) ).
tff(c_267,plain,
( ( singleton('#skF_5') = '#skF_3' )
| ( singleton('#skF_4') = '#skF_3' ) ),
inference(splitRight,[status(thm)],[c_260]) ).
tff(c_271,plain,
singleton('#skF_4') = '#skF_3',
inference(splitLeft,[status(thm)],[c_267]) ).
tff(c_278,plain,
! [C_7] : subset('#skF_3',unordered_pair('#skF_4',C_7)),
inference(superposition,[status(thm),theory(equality)],[c_271,c_38]) ).
tff(c_293,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_278,c_231]) ).
tff(c_294,plain,
singleton('#skF_5') = '#skF_3',
inference(splitRight,[status(thm)],[c_267]) ).
tff(c_299,plain,
! [B_6] : subset('#skF_3',unordered_pair(B_6,'#skF_5')),
inference(superposition,[status(thm),theory(equality)],[c_294,c_36]) ).
tff(c_317,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_299,c_231]) ).
tff(c_319,plain,
singleton('#skF_8') = '#skF_6',
inference(splitRight,[status(thm)],[c_16]) ).
tff(c_18,plain,
( ( unordered_pair('#skF_4','#skF_5') = '#skF_3' )
| ( singleton('#skF_5') = '#skF_3' )
| ( singleton('#skF_4') = '#skF_3' )
| ( empty_set = '#skF_3' )
| ( singleton('#skF_8') != '#skF_6' ) ),
inference(cnfTransformation,[status(thm)],[f_53]) ).
tff(c_354,plain,
( ( unordered_pair('#skF_4','#skF_5') = '#skF_3' )
| ( singleton('#skF_5') = '#skF_3' )
| ( singleton('#skF_4') = '#skF_3' )
| ( empty_set = '#skF_3' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_319,c_18]) ).
tff(c_355,plain,
empty_set = '#skF_3',
inference(splitLeft,[status(thm)],[c_354]) ).
tff(c_357,plain,
! [B_6,C_7] : subset('#skF_3',unordered_pair(B_6,C_7)),
inference(demodulation,[status(thm),theory(equality)],[c_355,c_40]) ).
tff(c_318,plain,
~ subset('#skF_3',unordered_pair('#skF_4','#skF_5')),
inference(splitRight,[status(thm)],[c_16]) ).
tff(c_365,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_357,c_318]) ).
tff(c_366,plain,
( ( singleton('#skF_4') = '#skF_3' )
| ( singleton('#skF_5') = '#skF_3' )
| ( unordered_pair('#skF_4','#skF_5') = '#skF_3' ) ),
inference(splitRight,[status(thm)],[c_354]) ).
tff(c_368,plain,
unordered_pair('#skF_4','#skF_5') = '#skF_3',
inference(splitLeft,[status(thm)],[c_366]) ).
tff(c_369,plain,
~ subset('#skF_3','#skF_3'),
inference(demodulation,[status(thm),theory(equality)],[c_368,c_318]) ).
tff(c_372,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_369]) ).
tff(c_373,plain,
( ( singleton('#skF_5') = '#skF_3' )
| ( singleton('#skF_4') = '#skF_3' ) ),
inference(splitRight,[status(thm)],[c_366]) ).
tff(c_375,plain,
singleton('#skF_4') = '#skF_3',
inference(splitLeft,[status(thm)],[c_373]) ).
tff(c_383,plain,
! [C_7] : subset('#skF_3',unordered_pair('#skF_4',C_7)),
inference(superposition,[status(thm),theory(equality)],[c_375,c_38]) ).
tff(c_398,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_383,c_318]) ).
tff(c_399,plain,
singleton('#skF_5') = '#skF_3',
inference(splitRight,[status(thm)],[c_373]) ).
tff(c_404,plain,
! [B_6] : subset('#skF_3',unordered_pair(B_6,'#skF_5')),
inference(superposition,[status(thm),theory(equality)],[c_399,c_36]) ).
tff(c_424,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_404,c_318]) ).
tff(c_426,plain,
singleton('#skF_7') = '#skF_6',
inference(splitRight,[status(thm)],[c_20]) ).
tff(c_22,plain,
( ( unordered_pair('#skF_4','#skF_5') = '#skF_3' )
| ( singleton('#skF_5') = '#skF_3' )
| ( singleton('#skF_4') = '#skF_3' )
| ( empty_set = '#skF_3' )
| ( singleton('#skF_7') != '#skF_6' ) ),
inference(cnfTransformation,[status(thm)],[f_53]) ).
tff(c_462,plain,
( ( unordered_pair('#skF_4','#skF_5') = '#skF_3' )
| ( singleton('#skF_5') = '#skF_3' )
| ( singleton('#skF_4') = '#skF_3' )
| ( empty_set = '#skF_3' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_426,c_22]) ).
tff(c_463,plain,
empty_set = '#skF_3',
inference(splitLeft,[status(thm)],[c_462]) ).
tff(c_465,plain,
! [B_6,C_7] : subset('#skF_3',unordered_pair(B_6,C_7)),
inference(demodulation,[status(thm),theory(equality)],[c_463,c_40]) ).
tff(c_425,plain,
~ subset('#skF_3',unordered_pair('#skF_4','#skF_5')),
inference(splitRight,[status(thm)],[c_20]) ).
tff(c_473,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_465,c_425]) ).
tff(c_474,plain,
( ( singleton('#skF_4') = '#skF_3' )
| ( singleton('#skF_5') = '#skF_3' )
| ( unordered_pair('#skF_4','#skF_5') = '#skF_3' ) ),
inference(splitRight,[status(thm)],[c_462]) ).
tff(c_476,plain,
unordered_pair('#skF_4','#skF_5') = '#skF_3',
inference(splitLeft,[status(thm)],[c_474]) ).
tff(c_477,plain,
~ subset('#skF_3','#skF_3'),
inference(demodulation,[status(thm),theory(equality)],[c_476,c_425]) ).
tff(c_480,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_477]) ).
tff(c_481,plain,
( ( singleton('#skF_5') = '#skF_3' )
| ( singleton('#skF_4') = '#skF_3' ) ),
inference(splitRight,[status(thm)],[c_474]) ).
tff(c_485,plain,
singleton('#skF_4') = '#skF_3',
inference(splitLeft,[status(thm)],[c_481]) ).
tff(c_492,plain,
! [C_7] : subset('#skF_3',unordered_pair('#skF_4',C_7)),
inference(superposition,[status(thm),theory(equality)],[c_485,c_38]) ).
tff(c_507,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_492,c_425]) ).
tff(c_508,plain,
singleton('#skF_5') = '#skF_3',
inference(splitRight,[status(thm)],[c_481]) ).
tff(c_513,plain,
! [B_6] : subset('#skF_3',unordered_pair(B_6,'#skF_5')),
inference(superposition,[status(thm),theory(equality)],[c_508,c_36]) ).
tff(c_531,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_513,c_425]) ).
tff(c_533,plain,
empty_set = '#skF_6',
inference(splitRight,[status(thm)],[c_24]) ).
tff(c_26,plain,
( ( unordered_pair('#skF_4','#skF_5') = '#skF_3' )
| ( singleton('#skF_5') = '#skF_3' )
| ( singleton('#skF_4') = '#skF_3' )
| ( empty_set = '#skF_3' )
| ( empty_set != '#skF_6' ) ),
inference(cnfTransformation,[status(thm)],[f_53]) ).
tff(c_551,plain,
( ( unordered_pair('#skF_4','#skF_5') = '#skF_3' )
| ( singleton('#skF_5') = '#skF_3' )
| ( singleton('#skF_4') = '#skF_3' )
| ( '#skF_6' = '#skF_3' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_533,c_533,c_26]) ).
tff(c_552,plain,
'#skF_6' = '#skF_3',
inference(splitLeft,[status(thm)],[c_551]) ).
tff(c_535,plain,
! [B_6,C_7] : subset('#skF_6',unordered_pair(B_6,C_7)),
inference(demodulation,[status(thm),theory(equality)],[c_533,c_40]) ).
tff(c_553,plain,
! [B_6,C_7] : subset('#skF_3',unordered_pair(B_6,C_7)),
inference(demodulation,[status(thm),theory(equality)],[c_552,c_535]) ).
tff(c_532,plain,
~ subset('#skF_3',unordered_pair('#skF_4','#skF_5')),
inference(splitRight,[status(thm)],[c_24]) ).
tff(c_567,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_553,c_532]) ).
tff(c_568,plain,
( ( singleton('#skF_4') = '#skF_3' )
| ( singleton('#skF_5') = '#skF_3' )
| ( unordered_pair('#skF_4','#skF_5') = '#skF_3' ) ),
inference(splitRight,[status(thm)],[c_551]) ).
tff(c_570,plain,
unordered_pair('#skF_4','#skF_5') = '#skF_3',
inference(splitLeft,[status(thm)],[c_568]) ).
tff(c_571,plain,
~ subset('#skF_3','#skF_3'),
inference(demodulation,[status(thm),theory(equality)],[c_570,c_532]) ).
tff(c_574,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_571]) ).
tff(c_575,plain,
( ( singleton('#skF_5') = '#skF_3' )
| ( singleton('#skF_4') = '#skF_3' ) ),
inference(splitRight,[status(thm)],[c_568]) ).
tff(c_580,plain,
singleton('#skF_4') = '#skF_3',
inference(splitLeft,[status(thm)],[c_575]) ).
tff(c_587,plain,
! [C_7] : subset('#skF_3',unordered_pair('#skF_4',C_7)),
inference(superposition,[status(thm),theory(equality)],[c_580,c_38]) ).
tff(c_602,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_587,c_532]) ).
tff(c_603,plain,
singleton('#skF_5') = '#skF_3',
inference(splitRight,[status(thm)],[c_575]) ).
tff(c_608,plain,
! [B_6] : subset('#skF_3',unordered_pair(B_6,'#skF_5')),
inference(superposition,[status(thm),theory(equality)],[c_603,c_36]) ).
tff(c_626,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_608,c_532]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : SET901+1 : TPTP v8.1.2. Released v3.2.0.
% 0.11/0.14 % 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
% 0.14/0.36 % Computer : n024.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Thu Aug 3 16:35:45 EDT 2023
% 0.14/0.36 % CPUTime :
% 3.44/1.97 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.44/1.99
% 3.44/1.99 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 3.44/2.03
% 3.44/2.03 Inference rules
% 3.44/2.03 ----------------------
% 3.44/2.03 #Ref : 0
% 3.44/2.03 #Sup : 124
% 3.44/2.03 #Fact : 0
% 3.44/2.03 #Define : 0
% 3.44/2.03 #Split : 25
% 3.44/2.03 #Chain : 0
% 3.44/2.03 #Close : 0
% 3.44/2.03
% 3.44/2.03 Ordering : KBO
% 3.44/2.03
% 3.44/2.03 Simplification rules
% 3.44/2.03 ----------------------
% 3.44/2.03 #Subsume : 25
% 3.44/2.03 #Demod : 80
% 3.44/2.03 #Tautology : 67
% 3.44/2.03 #SimpNegUnit : 7
% 3.44/2.03 #BackRed : 39
% 3.44/2.03
% 3.44/2.03 #Partial instantiations: 0
% 3.44/2.03 #Strategies tried : 1
% 3.44/2.03
% 3.44/2.03 Timing (in seconds)
% 3.44/2.03 ----------------------
% 3.44/2.03 Preprocessing : 0.49
% 3.44/2.03 Parsing : 0.25
% 3.44/2.03 CNF conversion : 0.04
% 3.44/2.03 Main loop : 0.45
% 3.44/2.03 Inferencing : 0.13
% 3.44/2.03 Reduction : 0.15
% 3.44/2.03 Demodulation : 0.11
% 3.44/2.03 BG Simplification : 0.02
% 3.44/2.03 Subsumption : 0.09
% 3.44/2.03 Abstraction : 0.02
% 3.44/2.03 MUC search : 0.00
% 3.44/2.03 Cooper : 0.00
% 3.44/2.03 Total : 1.00
% 3.44/2.03 Index Insertion : 0.00
% 3.44/2.03 Index Deletion : 0.00
% 3.44/2.03 Index Matching : 0.00
% 3.44/2.03 BG Taut test : 0.00
%------------------------------------------------------------------------------