TSTP Solution File: SEU311+1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SEU311+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% Computer : n011.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 10:58:23 EDT 2023
% Result : Theorem 23.80s 11.55s
% Output : CNFRefutation 23.92s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 44
% Syntax : Number of formulae : 117 ( 28 unt; 34 typ; 0 def)
% Number of atoms : 222 ( 11 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 260 ( 121 ~; 118 |; 9 &)
% ( 4 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 34 ( 28 >; 6 *; 0 +; 0 <<)
% Number of predicates : 19 ( 17 usr; 1 prp; 0-2 aty)
% Number of functors : 17 ( 17 usr; 6 con; 0-2 aty)
% Number of variables : 99 (; 94 !; 5 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ in > element > closed_subset > v5_membered > v4_membered > v3_membered > v2_membered > v1_xreal_0 > v1_xcmplx_0 > v1_rat_1 > v1_membered > v1_int_1 > topological_space > top_str > one_sorted_str > natural > empty > set_difference > #nlpp > the_carrier > powerset > cast_as_carrier_subset > empty_set > #skF_9 > #skF_7 > #skF_5 > #skF_11 > #skF_2 > #skF_10 > #skF_1 > #skF_8 > #skF_4 > #skF_3 > #skF_6 > #skF_12
%Foreground sorts:
%Background operators:
%Foreground operators:
tff('#skF_9',type,
'#skF_9': $i > $i ).
tff('#skF_7',type,
'#skF_7': $i > $i ).
tff('#skF_5',type,
'#skF_5': $i > $i ).
tff(set_difference,type,
set_difference: ( $i * $i ) > $i ).
tff('#skF_11',type,
'#skF_11': $i ).
tff(the_carrier,type,
the_carrier: $i > $i ).
tff(v1_int_1,type,
v1_int_1: $i > $o ).
tff(element,type,
element: ( $i * $i ) > $o ).
tff(in,type,
in: ( $i * $i ) > $o ).
tff(one_sorted_str,type,
one_sorted_str: $i > $o ).
tff('#skF_2',type,
'#skF_2': $i ).
tff(v3_membered,type,
v3_membered: $i > $o ).
tff('#skF_10',type,
'#skF_10': ( $i * $i ) > $i ).
tff('#skF_1',type,
'#skF_1': $i ).
tff(cast_as_carrier_subset,type,
cast_as_carrier_subset: $i > $i ).
tff('#skF_8',type,
'#skF_8': ( $i * $i ) > $i ).
tff(empty,type,
empty: $i > $o ).
tff(closed_subset,type,
closed_subset: ( $i * $i ) > $o ).
tff(v1_xreal_0,type,
v1_xreal_0: $i > $o ).
tff(v5_membered,type,
v5_membered: $i > $o ).
tff(empty_set,type,
empty_set: $i ).
tff(v2_membered,type,
v2_membered: $i > $o ).
tff(v1_membered,type,
v1_membered: $i > $o ).
tff(v1_xcmplx_0,type,
v1_xcmplx_0: $i > $o ).
tff('#skF_4',type,
'#skF_4': $i ).
tff('#skF_3',type,
'#skF_3': $i > $i ).
tff(v1_rat_1,type,
v1_rat_1: $i > $o ).
tff(powerset,type,
powerset: $i > $i ).
tff(natural,type,
natural: $i > $o ).
tff(v4_membered,type,
v4_membered: $i > $o ).
tff('#skF_6',type,
'#skF_6': $i > $i ).
tff('#skF_12',type,
'#skF_12': $i ).
tff(topological_space,type,
topological_space: $i > $o ).
tff(top_str,type,
top_str: $i > $o ).
tff(f_320,axiom,
? [A] : empty(A),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc1_xboole_0) ).
tff(f_327,axiom,
! [A] :
( empty(A)
=> ( A = empty_set ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t6_boole) ).
tff(f_246,axiom,
! [A] :
? [B] :
( element(B,powerset(A))
& empty(B) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc2_subset_1) ).
tff(f_43,negated_conjecture,
~ ! [A,B] :
( ( topological_space(A)
& top_str(A)
& element(B,powerset(powerset(the_carrier(A)))) )
=> ? [C] :
( element(C,powerset(powerset(the_carrier(A))))
& ! [D] :
( element(D,powerset(the_carrier(A)))
=> ( in(D,C)
<=> in(set_difference(cast_as_carrier_subset(A),D),B) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s3_subset_1__e2_37_1_1__pre_topc) ).
tff(f_280,axiom,
! [A] : ~ empty(powerset(A)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_subset_1) ).
tff(f_307,axiom,
! [A,B] :
( ( ~ empty(A)
=> ( element(B,A)
<=> in(B,A) ) )
& ( empty(A)
=> ( element(B,A)
<=> empty(B) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d2_subset_1) ).
tff(f_310,axiom,
! [A] :
? [B] : element(B,A),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_m1_subset_1) ).
tff(f_294,axiom,
! [A,B] :
( ( topological_space(A)
& top_str(A)
& element(B,powerset(powerset(the_carrier(A)))) )
=> ? [C] :
! [D] :
( in(D,C)
<=> ( in(D,powerset(the_carrier(A)))
& in(set_difference(cast_as_carrier_subset(A),D),B) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s1_xboole_0__e2_37_1_1__pre_topc__1) ).
tff(f_332,axiom,
! [A,B] :
~ ( in(A,B)
& empty(B) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t7_boole) ).
tff(f_318,axiom,
! [A,B] :
( ! [C] :
( in(C,A)
=> in(C,B) )
=> element(A,powerset(B)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l71_subset_1) ).
tff(c_194,plain,
empty('#skF_11'),
inference(cnfTransformation,[status(thm)],[f_320]) ).
tff(c_252,plain,
! [A_95] :
( ( empty_set = A_95 )
| ~ empty(A_95) ),
inference(cnfTransformation,[status(thm)],[f_327]) ).
tff(c_265,plain,
empty_set = '#skF_11',
inference(resolution,[status(thm)],[c_194,c_252]) ).
tff(c_138,plain,
! [A_54] : empty('#skF_7'(A_54)),
inference(cnfTransformation,[status(thm)],[f_246]) ).
tff(c_262,plain,
! [A_54] : ( '#skF_7'(A_54) = empty_set ),
inference(resolution,[status(thm)],[c_138,c_252]) ).
tff(c_273,plain,
! [A_54] : ( '#skF_7'(A_54) = '#skF_11' ),
inference(demodulation,[status(thm),theory(equality)],[c_265,c_262]) ).
tff(c_140,plain,
! [A_54] : element('#skF_7'(A_54),powerset(A_54)),
inference(cnfTransformation,[status(thm)],[f_246]) ).
tff(c_296,plain,
! [A_54] : element('#skF_11',powerset(A_54)),
inference(demodulation,[status(thm),theory(equality)],[c_273,c_140]) ).
tff(c_8,plain,
! [C_4] :
( element('#skF_3'(C_4),powerset(the_carrier('#skF_1')))
| ~ element(C_4,powerset(powerset(the_carrier('#skF_1')))) ),
inference(cnfTransformation,[status(thm)],[f_43]) ).
tff(c_168,plain,
! [A_62] : ~ empty(powerset(A_62)),
inference(cnfTransformation,[status(thm)],[f_280]) ).
tff(c_178,plain,
! [B_71,A_70] :
( in(B_71,A_70)
| ~ element(B_71,A_70)
| empty(A_70) ),
inference(cnfTransformation,[status(thm)],[f_307]) ).
tff(c_6,plain,
topological_space('#skF_1'),
inference(cnfTransformation,[status(thm)],[f_43]) ).
tff(c_4,plain,
top_str('#skF_1'),
inference(cnfTransformation,[status(thm)],[f_43]) ).
tff(c_186,plain,
! [A_72] : element('#skF_9'(A_72),A_72),
inference(cnfTransformation,[status(thm)],[f_310]) ).
tff(c_3079,plain,
! [A_310,D_311,B_312] :
( in(set_difference(cast_as_carrier_subset(A_310),D_311),B_312)
| ~ in(D_311,'#skF_8'(A_310,B_312))
| ~ element(B_312,powerset(powerset(the_carrier(A_310))))
| ~ top_str(A_310)
| ~ topological_space(A_310) ),
inference(cnfTransformation,[status(thm)],[f_294]) ).
tff(c_11974,plain,
! [A_660,D_661] :
( in(set_difference(cast_as_carrier_subset(A_660),D_661),'#skF_11')
| ~ in(D_661,'#skF_8'(A_660,'#skF_11'))
| ~ top_str(A_660)
| ~ topological_space(A_660) ),
inference(resolution,[status(thm)],[c_296,c_3079]) ).
tff(c_200,plain,
! [B_79,A_78] :
( ~ empty(B_79)
| ~ in(A_78,B_79) ),
inference(cnfTransformation,[status(thm)],[f_332]) ).
tff(c_11987,plain,
! [D_661,A_660] :
( ~ empty('#skF_11')
| ~ in(D_661,'#skF_8'(A_660,'#skF_11'))
| ~ top_str(A_660)
| ~ topological_space(A_660) ),
inference(resolution,[status(thm)],[c_11974,c_200]) ).
tff(c_11998,plain,
! [D_662,A_663] :
( ~ in(D_662,'#skF_8'(A_663,'#skF_11'))
| ~ top_str(A_663)
| ~ topological_space(A_663) ),
inference(demodulation,[status(thm),theory(equality)],[c_194,c_11987]) ).
tff(c_28132,plain,
! [A_943,B_944] :
( ~ top_str(A_943)
| ~ topological_space(A_943)
| ~ element(B_944,'#skF_8'(A_943,'#skF_11'))
| empty('#skF_8'(A_943,'#skF_11')) ),
inference(resolution,[status(thm)],[c_178,c_11998]) ).
tff(c_28183,plain,
! [A_946] :
( ~ top_str(A_946)
| ~ topological_space(A_946)
| empty('#skF_8'(A_946,'#skF_11')) ),
inference(resolution,[status(thm)],[c_186,c_28132]) ).
tff(c_198,plain,
! [A_77] :
( ( empty_set = A_77 )
| ~ empty(A_77) ),
inference(cnfTransformation,[status(thm)],[f_327]) ).
tff(c_266,plain,
! [A_77] :
( ( A_77 = '#skF_11' )
| ~ empty(A_77) ),
inference(demodulation,[status(thm),theory(equality)],[c_265,c_198]) ).
tff(c_28222,plain,
! [A_947] :
( ( '#skF_8'(A_947,'#skF_11') = '#skF_11' )
| ~ top_str(A_947)
| ~ topological_space(A_947) ),
inference(resolution,[status(thm)],[c_28183,c_266]) ).
tff(c_28225,plain,
( ( '#skF_8'('#skF_1','#skF_11') = '#skF_11' )
| ~ top_str('#skF_1') ),
inference(resolution,[status(thm)],[c_6,c_28222]) ).
tff(c_28228,plain,
'#skF_8'('#skF_1','#skF_11') = '#skF_11',
inference(demodulation,[status(thm),theory(equality)],[c_4,c_28225]) ).
tff(c_2174,plain,
! [A_283,B_284] :
( in('#skF_10'(A_283,B_284),A_283)
| element(A_283,powerset(B_284)) ),
inference(cnfTransformation,[status(thm)],[f_318]) ).
tff(c_2190,plain,
! [A_283,B_284] :
( ~ empty(A_283)
| element(A_283,powerset(B_284)) ),
inference(resolution,[status(thm)],[c_2174,c_200]) ).
tff(c_12287,plain,
! [A_670,D_671,A_672] :
( in(set_difference(cast_as_carrier_subset(A_670),D_671),A_672)
| ~ in(D_671,'#skF_8'(A_670,A_672))
| ~ top_str(A_670)
| ~ topological_space(A_670)
| ~ empty(A_672) ),
inference(resolution,[status(thm)],[c_2190,c_3079]) ).
tff(c_12330,plain,
! [D_671,A_670,A_672] :
( ~ in(D_671,'#skF_8'(A_670,A_672))
| ~ top_str(A_670)
| ~ topological_space(A_670)
| ~ empty(A_672) ),
inference(resolution,[status(thm)],[c_12287,c_200]) ).
tff(c_28275,plain,
! [D_671] :
( ~ in(D_671,'#skF_11')
| ~ top_str('#skF_1')
| ~ topological_space('#skF_1')
| ~ empty('#skF_11') ),
inference(superposition,[status(thm),theory(equality)],[c_28228,c_12330]) ).
tff(c_28345,plain,
! [D_671] : ~ in(D_671,'#skF_11'),
inference(demodulation,[status(thm),theory(equality)],[c_194,c_6,c_4,c_28275]) ).
tff(c_2,plain,
element('#skF_2',powerset(powerset(the_carrier('#skF_1')))),
inference(cnfTransformation,[status(thm)],[f_43]) ).
tff(c_2982,plain,
! [D_300,A_301,B_302] :
( in(D_300,powerset(the_carrier(A_301)))
| ~ in(D_300,'#skF_8'(A_301,B_302))
| ~ element(B_302,powerset(powerset(the_carrier(A_301))))
| ~ top_str(A_301)
| ~ topological_space(A_301) ),
inference(cnfTransformation,[status(thm)],[f_294]) ).
tff(c_4752,plain,
! [B_394,A_395,B_396] :
( in(B_394,powerset(the_carrier(A_395)))
| ~ element(B_396,powerset(powerset(the_carrier(A_395))))
| ~ top_str(A_395)
| ~ topological_space(A_395)
| ~ element(B_394,'#skF_8'(A_395,B_396))
| empty('#skF_8'(A_395,B_396)) ),
inference(resolution,[status(thm)],[c_178,c_2982]) ).
tff(c_4781,plain,
! [B_394] :
( in(B_394,powerset(the_carrier('#skF_1')))
| ~ top_str('#skF_1')
| ~ topological_space('#skF_1')
| ~ element(B_394,'#skF_8'('#skF_1','#skF_2'))
| empty('#skF_8'('#skF_1','#skF_2')) ),
inference(resolution,[status(thm)],[c_2,c_4752]) ).
tff(c_4799,plain,
! [B_394] :
( in(B_394,powerset(the_carrier('#skF_1')))
| ~ element(B_394,'#skF_8'('#skF_1','#skF_2'))
| empty('#skF_8'('#skF_1','#skF_2')) ),
inference(demodulation,[status(thm),theory(equality)],[c_6,c_4,c_4781]) ).
tff(c_4800,plain,
empty('#skF_8'('#skF_1','#skF_2')),
inference(splitLeft,[status(thm)],[c_4799]) ).
tff(c_4820,plain,
'#skF_8'('#skF_1','#skF_2') = '#skF_11',
inference(resolution,[status(thm)],[c_4800,c_266]) ).
tff(c_16,plain,
! [C_4] :
( in('#skF_3'(C_4),C_4)
| in(set_difference(cast_as_carrier_subset('#skF_1'),'#skF_3'(C_4)),'#skF_2')
| ~ element(C_4,powerset(powerset(the_carrier('#skF_1')))) ),
inference(cnfTransformation,[status(thm)],[f_43]) ).
tff(c_13223,plain,
! [D_694,A_695,A_696] :
( ~ in(D_694,'#skF_8'(A_695,A_696))
| ~ top_str(A_695)
| ~ topological_space(A_695)
| ~ empty(A_696) ),
inference(resolution,[status(thm)],[c_12287,c_200]) ).
tff(c_13248,plain,
! [A_695,A_696] :
( ~ top_str(A_695)
| ~ topological_space(A_695)
| ~ empty(A_696)
| in(set_difference(cast_as_carrier_subset('#skF_1'),'#skF_3'('#skF_8'(A_695,A_696))),'#skF_2')
| ~ element('#skF_8'(A_695,A_696),powerset(powerset(the_carrier('#skF_1')))) ),
inference(resolution,[status(thm)],[c_16,c_13223]) ).
tff(c_28272,plain,
( ~ top_str('#skF_1')
| ~ topological_space('#skF_1')
| ~ empty('#skF_11')
| in(set_difference(cast_as_carrier_subset('#skF_1'),'#skF_3'('#skF_11')),'#skF_2')
| ~ element('#skF_8'('#skF_1','#skF_11'),powerset(powerset(the_carrier('#skF_1')))) ),
inference(superposition,[status(thm),theory(equality)],[c_28228,c_13248]) ).
tff(c_28343,plain,
in(set_difference(cast_as_carrier_subset('#skF_1'),'#skF_3'('#skF_11')),'#skF_2'),
inference(demodulation,[status(thm),theory(equality)],[c_296,c_28228,c_194,c_6,c_4,c_28272]) ).
tff(c_170,plain,
! [D_69,A_63,B_64] :
( in(D_69,'#skF_8'(A_63,B_64))
| ~ in(set_difference(cast_as_carrier_subset(A_63),D_69),B_64)
| ~ in(D_69,powerset(the_carrier(A_63)))
| ~ element(B_64,powerset(powerset(the_carrier(A_63))))
| ~ top_str(A_63)
| ~ topological_space(A_63) ),
inference(cnfTransformation,[status(thm)],[f_294]) ).
tff(c_28410,plain,
( in('#skF_3'('#skF_11'),'#skF_8'('#skF_1','#skF_2'))
| ~ in('#skF_3'('#skF_11'),powerset(the_carrier('#skF_1')))
| ~ element('#skF_2',powerset(powerset(the_carrier('#skF_1'))))
| ~ top_str('#skF_1')
| ~ topological_space('#skF_1') ),
inference(resolution,[status(thm)],[c_28343,c_170]) ).
tff(c_28426,plain,
( in('#skF_3'('#skF_11'),'#skF_11')
| ~ in('#skF_3'('#skF_11'),powerset(the_carrier('#skF_1'))) ),
inference(demodulation,[status(thm),theory(equality)],[c_6,c_4,c_2,c_4820,c_28410]) ).
tff(c_28427,plain,
~ in('#skF_3'('#skF_11'),powerset(the_carrier('#skF_1'))),
inference(negUnitSimplification,[status(thm)],[c_28345,c_28426]) ).
tff(c_28439,plain,
( ~ element('#skF_3'('#skF_11'),powerset(the_carrier('#skF_1')))
| empty(powerset(the_carrier('#skF_1'))) ),
inference(resolution,[status(thm)],[c_178,c_28427]) ).
tff(c_28442,plain,
~ element('#skF_3'('#skF_11'),powerset(the_carrier('#skF_1'))),
inference(negUnitSimplification,[status(thm)],[c_168,c_28439]) ).
tff(c_28496,plain,
~ element('#skF_11',powerset(powerset(the_carrier('#skF_1')))),
inference(resolution,[status(thm)],[c_8,c_28442]) ).
tff(c_28517,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_296,c_28496]) ).
tff(c_28519,plain,
~ empty('#skF_8'('#skF_1','#skF_2')),
inference(splitRight,[status(thm)],[c_4799]) ).
tff(c_176,plain,
! [B_71,A_70] :
( element(B_71,A_70)
| ~ in(B_71,A_70)
| empty(A_70) ),
inference(cnfTransformation,[status(thm)],[f_307]) ).
tff(c_2188,plain,
! [A_283,B_284] :
( element('#skF_10'(A_283,B_284),A_283)
| empty(A_283)
| element(A_283,powerset(B_284)) ),
inference(resolution,[status(thm)],[c_2174,c_176]) ).
tff(c_28898,plain,
! [B_958] :
( in(B_958,powerset(the_carrier('#skF_1')))
| ~ element(B_958,'#skF_8'('#skF_1','#skF_2')) ),
inference(splitRight,[status(thm)],[c_4799]) ).
tff(c_190,plain,
! [A_74,B_75] :
( ~ in('#skF_10'(A_74,B_75),B_75)
| element(A_74,powerset(B_75)) ),
inference(cnfTransformation,[status(thm)],[f_318]) ).
tff(c_71516,plain,
! [A_1687] :
( element(A_1687,powerset(powerset(the_carrier('#skF_1'))))
| ~ element('#skF_10'(A_1687,powerset(the_carrier('#skF_1'))),'#skF_8'('#skF_1','#skF_2')) ),
inference(resolution,[status(thm)],[c_28898,c_190]) ).
tff(c_71520,plain,
( empty('#skF_8'('#skF_1','#skF_2'))
| element('#skF_8'('#skF_1','#skF_2'),powerset(powerset(the_carrier('#skF_1')))) ),
inference(resolution,[status(thm)],[c_2188,c_71516]) ).
tff(c_71526,plain,
element('#skF_8'('#skF_1','#skF_2'),powerset(powerset(the_carrier('#skF_1')))),
inference(negUnitSimplification,[status(thm)],[c_28519,c_71520]) ).
tff(c_3187,plain,
! [D_319,A_320,B_321] :
( in(D_319,'#skF_8'(A_320,B_321))
| ~ in(set_difference(cast_as_carrier_subset(A_320),D_319),B_321)
| ~ in(D_319,powerset(the_carrier(A_320)))
| ~ element(B_321,powerset(powerset(the_carrier(A_320))))
| ~ top_str(A_320)
| ~ topological_space(A_320) ),
inference(cnfTransformation,[status(thm)],[f_294]) ).
tff(c_3200,plain,
! [C_4] :
( in('#skF_3'(C_4),'#skF_8'('#skF_1','#skF_2'))
| ~ in('#skF_3'(C_4),powerset(the_carrier('#skF_1')))
| ~ element('#skF_2',powerset(powerset(the_carrier('#skF_1'))))
| ~ top_str('#skF_1')
| ~ topological_space('#skF_1')
| in('#skF_3'(C_4),C_4)
| ~ element(C_4,powerset(powerset(the_carrier('#skF_1')))) ),
inference(resolution,[status(thm)],[c_16,c_3187]) ).
tff(c_4246,plain,
! [C_381] :
( in('#skF_3'(C_381),'#skF_8'('#skF_1','#skF_2'))
| ~ in('#skF_3'(C_381),powerset(the_carrier('#skF_1')))
| in('#skF_3'(C_381),C_381)
| ~ element(C_381,powerset(powerset(the_carrier('#skF_1')))) ),
inference(demodulation,[status(thm),theory(equality)],[c_6,c_4,c_2,c_3200]) ).
tff(c_4253,plain,
! [C_381] :
( in('#skF_3'(C_381),'#skF_8'('#skF_1','#skF_2'))
| in('#skF_3'(C_381),C_381)
| ~ element(C_381,powerset(powerset(the_carrier('#skF_1'))))
| ~ element('#skF_3'(C_381),powerset(the_carrier('#skF_1')))
| empty(powerset(the_carrier('#skF_1'))) ),
inference(resolution,[status(thm)],[c_178,c_4246]) ).
tff(c_55254,plain,
! [C_1546] :
( in('#skF_3'(C_1546),'#skF_8'('#skF_1','#skF_2'))
| in('#skF_3'(C_1546),C_1546)
| ~ element(C_1546,powerset(powerset(the_carrier('#skF_1'))))
| ~ element('#skF_3'(C_1546),powerset(the_carrier('#skF_1'))) ),
inference(negUnitSimplification,[status(thm)],[c_168,c_4253]) ).
tff(c_55337,plain,
! [C_4] :
( in('#skF_3'(C_4),'#skF_8'('#skF_1','#skF_2'))
| in('#skF_3'(C_4),C_4)
| ~ element(C_4,powerset(powerset(the_carrier('#skF_1')))) ),
inference(resolution,[status(thm)],[c_8,c_55254]) ).
tff(c_71640,plain,
in('#skF_3'('#skF_8'('#skF_1','#skF_2')),'#skF_8'('#skF_1','#skF_2')),
inference(resolution,[status(thm)],[c_71526,c_55337]) ).
tff(c_3102,plain,
! [D_311] :
( in(set_difference(cast_as_carrier_subset('#skF_1'),D_311),'#skF_2')
| ~ in(D_311,'#skF_8'('#skF_1','#skF_2'))
| ~ top_str('#skF_1')
| ~ topological_space('#skF_1') ),
inference(resolution,[status(thm)],[c_2,c_3079]) ).
tff(c_3122,plain,
! [D_314] :
( in(set_difference(cast_as_carrier_subset('#skF_1'),D_314),'#skF_2')
| ~ in(D_314,'#skF_8'('#skF_1','#skF_2')) ),
inference(demodulation,[status(thm),theory(equality)],[c_6,c_4,c_3102]) ).
tff(c_10,plain,
! [C_4] :
( ~ in(set_difference(cast_as_carrier_subset('#skF_1'),'#skF_3'(C_4)),'#skF_2')
| ~ in('#skF_3'(C_4),C_4)
| ~ element(C_4,powerset(powerset(the_carrier('#skF_1')))) ),
inference(cnfTransformation,[status(thm)],[f_43]) ).
tff(c_3139,plain,
! [C_4] :
( ~ in('#skF_3'(C_4),C_4)
| ~ element(C_4,powerset(powerset(the_carrier('#skF_1'))))
| ~ in('#skF_3'(C_4),'#skF_8'('#skF_1','#skF_2')) ),
inference(resolution,[status(thm)],[c_3122,c_10]) ).
tff(c_71740,plain,
( ~ element('#skF_8'('#skF_1','#skF_2'),powerset(powerset(the_carrier('#skF_1'))))
| ~ in('#skF_3'('#skF_8'('#skF_1','#skF_2')),'#skF_8'('#skF_1','#skF_2')) ),
inference(resolution,[status(thm)],[c_71640,c_3139]) ).
tff(c_71826,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_71640,c_71526,c_71740]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SEU311+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.14 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.14/0.36 % Computer : n011.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 12:12:51 EDT 2023
% 0.14/0.36 % CPUTime :
% 23.80/11.55 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 23.80/11.56
% 23.80/11.56 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 23.92/11.59
% 23.92/11.59 Inference rules
% 23.92/11.59 ----------------------
% 23.92/11.59 #Ref : 0
% 23.92/11.59 #Sup : 17085
% 23.92/11.59 #Fact : 2
% 23.92/11.59 #Define : 0
% 23.92/11.59 #Split : 72
% 23.92/11.59 #Chain : 0
% 23.92/11.59 #Close : 0
% 23.92/11.59
% 23.92/11.59 Ordering : KBO
% 23.92/11.59
% 23.92/11.59 Simplification rules
% 23.92/11.59 ----------------------
% 23.92/11.59 #Subsume : 12126
% 23.92/11.59 #Demod : 5831
% 23.92/11.59 #Tautology : 1875
% 23.92/11.59 #SimpNegUnit : 3707
% 23.92/11.59 #BackRed : 210
% 23.92/11.59
% 23.92/11.59 #Partial instantiations: 0
% 23.92/11.59 #Strategies tried : 1
% 23.92/11.59
% 23.92/11.59 Timing (in seconds)
% 23.92/11.59 ----------------------
% 23.92/11.60 Preprocessing : 0.60
% 23.92/11.60 Parsing : 0.32
% 23.92/11.60 CNF conversion : 0.05
% 23.92/11.60 Main loop : 9.92
% 23.92/11.60 Inferencing : 2.71
% 23.92/11.60 Reduction : 2.79
% 23.92/11.60 Demodulation : 1.74
% 23.92/11.60 BG Simplification : 0.09
% 23.92/11.60 Subsumption : 3.82
% 23.92/11.60 Abstraction : 0.17
% 23.92/11.60 MUC search : 0.00
% 23.92/11.60 Cooper : 0.00
% 23.92/11.60 Total : 10.57
% 23.92/11.60 Index Insertion : 0.00
% 23.92/11.60 Index Deletion : 0.00
% 23.92/11.60 Index Matching : 0.00
% 23.92/11.60 BG Taut test : 0.00
%------------------------------------------------------------------------------