TSTP Solution File: SEU220+3 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SEU220+3 : 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 : n026.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 10:58:03 EDT 2023
% Result : Theorem 18.12s 7.54s
% Output : CNFRefutation 18.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 46
% Syntax : Number of formulae : 121 ( 36 unt; 32 typ; 0 def)
% Number of atoms : 252 ( 52 equ)
% Maximal formula atoms : 15 ( 2 avg)
% Number of connectives : 296 ( 133 ~; 115 |; 30 &)
% ( 1 <=>; 17 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 30 ( 21 >; 9 *; 0 +; 0 <<)
% Number of predicates : 10 ( 8 usr; 1 prp; 0-2 aty)
% Number of functors : 24 ( 24 usr; 11 con; 0-2 aty)
% Number of variables : 68 (; 65 !; 3 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ subset > in > element > relation_empty_yielding > relation > one_to_one > function > empty > relation_composition > apply > #nlpp > relation_rng > relation_dom > powerset > function_inverse > empty_set > #skF_4 > #skF_17 > #skF_11 > #skF_1 > #skF_8 > #skF_7 > #skF_13 > #skF_10 > #skF_16 > #skF_14 > #skF_12 > #skF_5 > #skF_6 > #skF_2 > #skF_3 > #skF_9 > #skF_15
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(relation,type,
relation: $i > $o ).
tff('#skF_4',type,
'#skF_4': $i > $i ).
tff('#skF_17',type,
'#skF_17': $i ).
tff('#skF_11',type,
'#skF_11': $i ).
tff(apply,type,
apply: ( $i * $i ) > $i ).
tff('#skF_1',type,
'#skF_1': $i > $i ).
tff(element,type,
element: ( $i * $i ) > $o ).
tff(one_to_one,type,
one_to_one: $i > $o ).
tff('#skF_8',type,
'#skF_8': $i > $i ).
tff(function,type,
function: $i > $o ).
tff('#skF_7',type,
'#skF_7': $i ).
tff(relation_empty_yielding,type,
relation_empty_yielding: $i > $o ).
tff('#skF_13',type,
'#skF_13': ( $i * $i ) > $i ).
tff('#skF_10',type,
'#skF_10': $i ).
tff('#skF_16',type,
'#skF_16': $i ).
tff('#skF_14',type,
'#skF_14': ( $i * $i ) > $i ).
tff('#skF_12',type,
'#skF_12': ( $i * $i ) > $i ).
tff(in,type,
in: ( $i * $i ) > $o ).
tff('#skF_5',type,
'#skF_5': $i ).
tff(subset,type,
subset: ( $i * $i ) > $o ).
tff(function_inverse,type,
function_inverse: $i > $i ).
tff('#skF_6',type,
'#skF_6': $i ).
tff('#skF_2',type,
'#skF_2': $i ).
tff('#skF_3',type,
'#skF_3': $i ).
tff(relation_composition,type,
relation_composition: ( $i * $i ) > $i ).
tff(empty,type,
empty: $i > $o ).
tff('#skF_9',type,
'#skF_9': $i ).
tff(empty_set,type,
empty_set: $i ).
tff(relation_dom,type,
relation_dom: $i > $i ).
tff(powerset,type,
powerset: $i > $i ).
tff(relation_rng,type,
relation_rng: $i > $i ).
tff('#skF_15',type,
'#skF_15': ( $i * $i ) > $i ).
tff(f_274,negated_conjecture,
~ ! [A,B] :
( ( relation(B)
& function(B) )
=> ( ( one_to_one(B)
& in(A,relation_rng(B)) )
=> ( ( A = apply(B,apply(function_inverse(B),A)) )
& ( A = apply(relation_composition(function_inverse(B),B),A) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t57_funct_1) ).
tff(f_59,axiom,
! [A] :
( ( relation(A)
& function(A) )
=> ( relation(function_inverse(A))
& function(function_inverse(A)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k2_funct_1) ).
tff(f_251,axiom,
! [A] :
( ( relation(A)
& function(A) )
=> ( one_to_one(A)
=> ! [B] :
( ( relation(B)
& function(B) )
=> ( ( B = function_inverse(A) )
<=> ( ( relation_dom(B) = relation_rng(A) )
& ! [C,D] :
( ( ( in(C,relation_rng(A))
& ( D = apply(B,C) ) )
=> ( in(D,relation_dom(A))
& ( C = apply(A,D) ) ) )
& ( ( in(D,relation_dom(A))
& ( C = apply(A,D) ) )
=> ( in(C,relation_rng(A))
& ( D = apply(B,C) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t54_funct_1) ).
tff(f_290,axiom,
! [A,B] :
~ ( in(A,B)
& empty(B) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t7_boole) ).
tff(f_144,axiom,
? [A] :
( empty(A)
& relation(A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc1_relat_1) ).
tff(f_285,axiom,
! [A] :
( empty(A)
=> ( A = empty_set ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t6_boole) ).
tff(f_161,axiom,
? [A] :
( relation(A)
& empty(A)
& function(A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc2_funct_1) ).
tff(f_122,axiom,
! [A] :
( empty(A)
=> ( empty(relation_dom(A))
& relation(relation_dom(A)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc7_relat_1) ).
tff(f_171,axiom,
! [A] :
? [B] :
( element(B,powerset(A))
& empty(B) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc2_subset_1) ).
tff(f_281,axiom,
! [A,B,C] :
~ ( in(A,B)
& element(B,powerset(C))
& empty(C) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t5_subset) ).
tff(f_51,axiom,
! [A] :
( ( relation(A)
& empty(A)
& function(A) )
=> ( relation(A)
& function(A)
& one_to_one(A) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc2_funct_1) ).
tff(f_128,axiom,
! [A] :
( empty(A)
=> ( empty(relation_rng(A))
& relation(relation_rng(A)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc8_relat_1) ).
tff(f_261,axiom,
! [A] :
( ( relation(A)
& function(A) )
=> ( one_to_one(A)
=> ( ( relation_rng(A) = relation_dom(function_inverse(A)) )
& ( relation_dom(A) = relation_rng(function_inverse(A)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t55_funct_1) ).
tff(f_203,axiom,
! [A,B] :
( ( relation(B)
& function(B) )
=> ! [C] :
( ( relation(C)
& function(C) )
=> ( in(A,relation_dom(B))
=> ( apply(relation_composition(B,C),A) = apply(C,apply(B,A)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t23_funct_1) ).
tff(c_154,plain,
relation('#skF_17'),
inference(cnfTransformation,[status(thm)],[f_274]) ).
tff(c_152,plain,
function('#skF_17'),
inference(cnfTransformation,[status(thm)],[f_274]) ).
tff(c_150,plain,
one_to_one('#skF_17'),
inference(cnfTransformation,[status(thm)],[f_274]) ).
tff(c_16,plain,
! [A_6] :
( relation(function_inverse(A_6))
| ~ function(A_6)
| ~ relation(A_6) ),
inference(cnfTransformation,[status(thm)],[f_59]) ).
tff(c_148,plain,
in('#skF_16',relation_rng('#skF_17')),
inference(cnfTransformation,[status(thm)],[f_274]) ).
tff(c_6668,plain,
! [A_355,C_356] :
( in(apply(function_inverse(A_355),C_356),relation_dom(A_355))
| ~ in(C_356,relation_rng(A_355))
| ~ function(function_inverse(A_355))
| ~ relation(function_inverse(A_355))
| ~ one_to_one(A_355)
| ~ function(A_355)
| ~ relation(A_355) ),
inference(cnfTransformation,[status(thm)],[f_251]) ).
tff(c_160,plain,
! [B_64,A_63] :
( ~ empty(B_64)
| ~ in(A_63,B_64) ),
inference(cnfTransformation,[status(thm)],[f_290]) ).
tff(c_33107,plain,
! [A_596,C_597] :
( ~ empty(relation_dom(A_596))
| ~ in(C_597,relation_rng(A_596))
| ~ function(function_inverse(A_596))
| ~ relation(function_inverse(A_596))
| ~ one_to_one(A_596)
| ~ function(A_596)
| ~ relation(A_596) ),
inference(resolution,[status(thm)],[c_6668,c_160]) ).
tff(c_33183,plain,
( ~ empty(relation_dom('#skF_17'))
| ~ function(function_inverse('#skF_17'))
| ~ relation(function_inverse('#skF_17'))
| ~ one_to_one('#skF_17')
| ~ function('#skF_17')
| ~ relation('#skF_17') ),
inference(resolution,[status(thm)],[c_148,c_33107]) ).
tff(c_33191,plain,
( ~ empty(relation_dom('#skF_17'))
| ~ function(function_inverse('#skF_17'))
| ~ relation(function_inverse('#skF_17')) ),
inference(demodulation,[status(thm),theory(equality)],[c_154,c_152,c_150,c_33183]) ).
tff(c_34039,plain,
~ relation(function_inverse('#skF_17')),
inference(splitLeft,[status(thm)],[c_33191]) ).
tff(c_34042,plain,
( ~ function('#skF_17')
| ~ relation('#skF_17') ),
inference(resolution,[status(thm)],[c_16,c_34039]) ).
tff(c_34049,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_154,c_152,c_34042]) ).
tff(c_34051,plain,
relation(function_inverse('#skF_17')),
inference(splitRight,[status(thm)],[c_33191]) ).
tff(c_14,plain,
! [A_6] :
( function(function_inverse(A_6))
| ~ function(A_6)
| ~ relation(A_6) ),
inference(cnfTransformation,[status(thm)],[f_59]) ).
tff(c_66,plain,
empty('#skF_3'),
inference(cnfTransformation,[status(thm)],[f_144]) ).
tff(c_170,plain,
! [A_71] :
( ( empty_set = A_71 )
| ~ empty(A_71) ),
inference(cnfTransformation,[status(thm)],[f_285]) ).
tff(c_190,plain,
empty_set = '#skF_3',
inference(resolution,[status(thm)],[c_66,c_170]) ).
tff(c_76,plain,
empty('#skF_6'),
inference(cnfTransformation,[status(thm)],[f_161]) ).
tff(c_189,plain,
empty_set = '#skF_6',
inference(resolution,[status(thm)],[c_76,c_170]) ).
tff(c_3491,plain,
'#skF_6' = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_190,c_189]) ).
tff(c_74,plain,
function('#skF_6'),
inference(cnfTransformation,[status(thm)],[f_161]) ).
tff(c_3505,plain,
function('#skF_3'),
inference(demodulation,[status(thm),theory(equality)],[c_3491,c_74]) ).
tff(c_3541,plain,
! [A_225] :
( empty(relation_dom(A_225))
| ~ empty(A_225) ),
inference(cnfTransformation,[status(thm)],[f_122]) ).
tff(c_158,plain,
! [A_62] :
( ( empty_set = A_62 )
| ~ empty(A_62) ),
inference(cnfTransformation,[status(thm)],[f_285]) ).
tff(c_192,plain,
! [A_62] :
( ( A_62 = '#skF_6' )
| ~ empty(A_62) ),
inference(demodulation,[status(thm),theory(equality)],[c_189,c_158]) ).
tff(c_3525,plain,
! [A_62] :
( ( A_62 = '#skF_3' )
| ~ empty(A_62) ),
inference(demodulation,[status(thm),theory(equality)],[c_3491,c_192]) ).
tff(c_3560,plain,
! [A_228] :
( ( relation_dom(A_228) = '#skF_3' )
| ~ empty(A_228) ),
inference(resolution,[status(thm)],[c_3541,c_3525]) ).
tff(c_3572,plain,
relation_dom('#skF_3') = '#skF_3',
inference(resolution,[status(thm)],[c_66,c_3560]) ).
tff(c_64,plain,
relation('#skF_3'),
inference(cnfTransformation,[status(thm)],[f_144]) ).
tff(c_84,plain,
! [A_24] : empty('#skF_8'(A_24)),
inference(cnfTransformation,[status(thm)],[f_171]) ).
tff(c_186,plain,
! [A_24] : ( '#skF_8'(A_24) = empty_set ),
inference(resolution,[status(thm)],[c_84,c_170]) ).
tff(c_3514,plain,
! [A_24] : ( '#skF_8'(A_24) = '#skF_3' ),
inference(demodulation,[status(thm),theory(equality)],[c_190,c_186]) ).
tff(c_86,plain,
! [A_24] : element('#skF_8'(A_24),powerset(A_24)),
inference(cnfTransformation,[status(thm)],[f_171]) ).
tff(c_3532,plain,
! [A_24] : element('#skF_3',powerset(A_24)),
inference(demodulation,[status(thm),theory(equality)],[c_3514,c_86]) ).
tff(c_4004,plain,
! [C_276,B_277,A_278] :
( ~ empty(C_276)
| ~ element(B_277,powerset(C_276))
| ~ in(A_278,B_277) ),
inference(cnfTransformation,[status(thm)],[f_281]) ).
tff(c_4016,plain,
! [A_24,A_278] :
( ~ empty(A_24)
| ~ in(A_278,'#skF_3') ),
inference(resolution,[status(thm)],[c_3532,c_4004]) ).
tff(c_4018,plain,
! [A_278] : ~ in(A_278,'#skF_3'),
inference(splitLeft,[status(thm)],[c_4016]) ).
tff(c_3826,plain,
! [A_252] :
( one_to_one(A_252)
| ~ function(A_252)
| ~ empty(A_252)
| ~ relation(A_252) ),
inference(cnfTransformation,[status(thm)],[f_51]) ).
tff(c_3844,plain,
( one_to_one('#skF_3')
| ~ function('#skF_3')
| ~ empty('#skF_3') ),
inference(resolution,[status(thm)],[c_64,c_3826]) ).
tff(c_3866,plain,
one_to_one('#skF_3'),
inference(demodulation,[status(thm),theory(equality)],[c_66,c_3505,c_3844]) ).
tff(c_3551,plain,
! [A_227] :
( empty(relation_rng(A_227))
| ~ empty(A_227) ),
inference(cnfTransformation,[status(thm)],[f_128]) ).
tff(c_3587,plain,
! [A_229] :
( ( relation_rng(A_229) = '#skF_3' )
| ~ empty(A_229) ),
inference(resolution,[status(thm)],[c_3551,c_3525]) ).
tff(c_3599,plain,
relation_rng('#skF_3') = '#skF_3',
inference(resolution,[status(thm)],[c_66,c_3587]) ).
tff(c_9010,plain,
! [A_392,B_393] :
( in('#skF_13'(A_392,B_393),relation_dom(A_392))
| in('#skF_14'(A_392,B_393),relation_rng(A_392))
| ( function_inverse(A_392) = B_393 )
| ( relation_rng(A_392) != relation_dom(B_393) )
| ~ function(B_393)
| ~ relation(B_393)
| ~ one_to_one(A_392)
| ~ function(A_392)
| ~ relation(A_392) ),
inference(cnfTransformation,[status(thm)],[f_251]) ).
tff(c_9045,plain,
! [B_393] :
( in('#skF_13'('#skF_3',B_393),'#skF_3')
| in('#skF_14'('#skF_3',B_393),relation_rng('#skF_3'))
| ( function_inverse('#skF_3') = B_393 )
| ( relation_rng('#skF_3') != relation_dom(B_393) )
| ~ function(B_393)
| ~ relation(B_393)
| ~ one_to_one('#skF_3')
| ~ function('#skF_3')
| ~ relation('#skF_3') ),
inference(superposition,[status(thm),theory(equality)],[c_3572,c_9010]) ).
tff(c_9058,plain,
! [B_393] :
( in('#skF_13'('#skF_3',B_393),'#skF_3')
| in('#skF_14'('#skF_3',B_393),'#skF_3')
| ( function_inverse('#skF_3') = B_393 )
| ( relation_dom(B_393) != '#skF_3' )
| ~ function(B_393)
| ~ relation(B_393) ),
inference(demodulation,[status(thm),theory(equality)],[c_64,c_3505,c_3866,c_3599,c_3599,c_9045]) ).
tff(c_21049,plain,
! [B_494] :
( ( function_inverse('#skF_3') = B_494 )
| ( relation_dom(B_494) != '#skF_3' )
| ~ function(B_494)
| ~ relation(B_494) ),
inference(negUnitSimplification,[status(thm)],[c_4018,c_4018,c_9058]) ).
tff(c_21076,plain,
( ( function_inverse('#skF_3') = '#skF_3' )
| ( relation_dom('#skF_3') != '#skF_3' )
| ~ function('#skF_3') ),
inference(resolution,[status(thm)],[c_64,c_21049]) ).
tff(c_21101,plain,
function_inverse('#skF_3') = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_3505,c_3572,c_21076]) ).
tff(c_9059,plain,
! [B_393] :
( ( function_inverse('#skF_3') = B_393 )
| ( relation_dom(B_393) != '#skF_3' )
| ~ function(B_393)
| ~ relation(B_393) ),
inference(negUnitSimplification,[status(thm)],[c_4018,c_4018,c_9058]) ).
tff(c_21111,plain,
! [B_393] :
( ( B_393 = '#skF_3' )
| ( relation_dom(B_393) != '#skF_3' )
| ~ function(B_393)
| ~ relation(B_393) ),
inference(demodulation,[status(thm),theory(equality)],[c_21101,c_9059]) ).
tff(c_34073,plain,
( ( function_inverse('#skF_17') = '#skF_3' )
| ( relation_dom(function_inverse('#skF_17')) != '#skF_3' )
| ~ function(function_inverse('#skF_17')) ),
inference(resolution,[status(thm)],[c_34051,c_21111]) ).
tff(c_45790,plain,
~ function(function_inverse('#skF_17')),
inference(splitLeft,[status(thm)],[c_34073]) ).
tff(c_45872,plain,
( ~ function('#skF_17')
| ~ relation('#skF_17') ),
inference(resolution,[status(thm)],[c_14,c_45790]) ).
tff(c_45879,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_154,c_152,c_45872]) ).
tff(c_45881,plain,
function(function_inverse('#skF_17')),
inference(splitRight,[status(thm)],[c_34073]) ).
tff(c_3415,plain,
! [A_213,C_214] :
( ( apply(A_213,apply(function_inverse(A_213),C_214)) = C_214 )
| ~ in(C_214,relation_rng(A_213))
| ~ function(function_inverse(A_213))
| ~ relation(function_inverse(A_213))
| ~ one_to_one(A_213)
| ~ function(A_213)
| ~ relation(A_213) ),
inference(cnfTransformation,[status(thm)],[f_251]) ).
tff(c_146,plain,
( ( apply(relation_composition(function_inverse('#skF_17'),'#skF_17'),'#skF_16') != '#skF_16' )
| ( apply('#skF_17',apply(function_inverse('#skF_17'),'#skF_16')) != '#skF_16' ) ),
inference(cnfTransformation,[status(thm)],[f_274]) ).
tff(c_202,plain,
apply('#skF_17',apply(function_inverse('#skF_17'),'#skF_16')) != '#skF_16',
inference(splitLeft,[status(thm)],[c_146]) ).
tff(c_3435,plain,
( ~ in('#skF_16',relation_rng('#skF_17'))
| ~ function(function_inverse('#skF_17'))
| ~ relation(function_inverse('#skF_17'))
| ~ one_to_one('#skF_17')
| ~ function('#skF_17')
| ~ relation('#skF_17') ),
inference(superposition,[status(thm),theory(equality)],[c_3415,c_202]) ).
tff(c_3450,plain,
( ~ function(function_inverse('#skF_17'))
| ~ relation(function_inverse('#skF_17')) ),
inference(demodulation,[status(thm),theory(equality)],[c_154,c_152,c_150,c_148,c_3435]) ).
tff(c_3453,plain,
~ relation(function_inverse('#skF_17')),
inference(splitLeft,[status(thm)],[c_3450]) ).
tff(c_3456,plain,
( ~ function('#skF_17')
| ~ relation('#skF_17') ),
inference(resolution,[status(thm)],[c_16,c_3453]) ).
tff(c_3463,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_154,c_152,c_3456]) ).
tff(c_3464,plain,
~ function(function_inverse('#skF_17')),
inference(splitRight,[status(thm)],[c_3450]) ).
tff(c_3481,plain,
( ~ function('#skF_17')
| ~ relation('#skF_17') ),
inference(resolution,[status(thm)],[c_14,c_3464]) ).
tff(c_3488,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_154,c_152,c_3481]) ).
tff(c_3490,plain,
apply('#skF_17',apply(function_inverse('#skF_17'),'#skF_16')) = '#skF_16',
inference(splitRight,[status(thm)],[c_146]) ).
tff(c_144,plain,
! [A_58] :
( ( relation_dom(function_inverse(A_58)) = relation_rng(A_58) )
| ~ one_to_one(A_58)
| ~ function(A_58)
| ~ relation(A_58) ),
inference(cnfTransformation,[status(thm)],[f_261]) ).
tff(c_5327,plain,
! [B_322,C_323,A_324] :
( ( apply(relation_composition(B_322,C_323),A_324) = apply(C_323,apply(B_322,A_324)) )
| ~ in(A_324,relation_dom(B_322))
| ~ function(C_323)
| ~ relation(C_323)
| ~ function(B_322)
| ~ relation(B_322) ),
inference(cnfTransformation,[status(thm)],[f_203]) ).
tff(c_50088,plain,
! [A_807,C_808,A_809] :
( ( apply(relation_composition(function_inverse(A_807),C_808),A_809) = apply(C_808,apply(function_inverse(A_807),A_809)) )
| ~ in(A_809,relation_rng(A_807))
| ~ function(C_808)
| ~ relation(C_808)
| ~ function(function_inverse(A_807))
| ~ relation(function_inverse(A_807))
| ~ one_to_one(A_807)
| ~ function(A_807)
| ~ relation(A_807) ),
inference(superposition,[status(thm),theory(equality)],[c_144,c_5327]) ).
tff(c_3489,plain,
apply(relation_composition(function_inverse('#skF_17'),'#skF_17'),'#skF_16') != '#skF_16',
inference(splitRight,[status(thm)],[c_146]) ).
tff(c_50132,plain,
( ( apply('#skF_17',apply(function_inverse('#skF_17'),'#skF_16')) != '#skF_16' )
| ~ in('#skF_16',relation_rng('#skF_17'))
| ~ function('#skF_17')
| ~ relation('#skF_17')
| ~ function(function_inverse('#skF_17'))
| ~ relation(function_inverse('#skF_17'))
| ~ one_to_one('#skF_17')
| ~ function('#skF_17')
| ~ relation('#skF_17') ),
inference(superposition,[status(thm),theory(equality)],[c_50088,c_3489]) ).
tff(c_50197,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_154,c_152,c_150,c_34051,c_45881,c_154,c_152,c_148,c_3490,c_50132]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SEU220+3 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.13 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.14/0.35 % Computer : n026.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Thu Aug 3 11:52:31 EDT 2023
% 0.14/0.35 % CPUTime :
% 18.12/7.54 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 18.12/7.55
% 18.12/7.55 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 18.12/7.59
% 18.12/7.59 Inference rules
% 18.12/7.59 ----------------------
% 18.12/7.59 #Ref : 0
% 18.12/7.59 #Sup : 12759
% 18.12/7.59 #Fact : 0
% 18.12/7.59 #Define : 0
% 18.12/7.59 #Split : 33
% 18.12/7.59 #Chain : 0
% 18.12/7.59 #Close : 0
% 18.12/7.59
% 18.12/7.59 Ordering : KBO
% 18.12/7.59
% 18.12/7.59 Simplification rules
% 18.12/7.59 ----------------------
% 18.12/7.59 #Subsume : 3025
% 18.12/7.59 #Demod : 11184
% 18.12/7.59 #Tautology : 5635
% 18.12/7.59 #SimpNegUnit : 107
% 18.12/7.59 #BackRed : 19
% 18.12/7.59
% 18.12/7.59 #Partial instantiations: 0
% 18.12/7.59 #Strategies tried : 1
% 18.12/7.59
% 18.12/7.59 Timing (in seconds)
% 18.12/7.59 ----------------------
% 18.12/7.60 Preprocessing : 0.66
% 18.12/7.60 Parsing : 0.34
% 18.12/7.60 CNF conversion : 0.06
% 18.12/7.60 Main loop : 5.84
% 18.12/7.60 Inferencing : 1.30
% 18.12/7.60 Reduction : 2.05
% 18.12/7.60 Demodulation : 1.56
% 18.12/7.60 BG Simplification : 0.12
% 18.12/7.60 Subsumption : 2.06
% 18.12/7.60 Abstraction : 0.14
% 18.12/7.60 MUC search : 0.00
% 18.12/7.60 Cooper : 0.00
% 18.12/7.60 Total : 6.57
% 18.12/7.60 Index Insertion : 0.00
% 18.12/7.60 Index Deletion : 0.00
% 18.12/7.60 Index Matching : 0.00
% 18.12/7.60 BG Taut test : 0.00
%------------------------------------------------------------------------------