TSTP Solution File: SET675+3 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SET675+3 : TPTP v8.1.2. Released v2.2.0.
% 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 : n005.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 10:56:51 EDT 2023
% Result : Theorem 6.43s 2.52s
% Output : CNFRefutation 6.53s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 46
% Syntax : Number of formulae : 106 ( 33 unt; 34 typ; 0 def)
% Number of atoms : 154 ( 52 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 145 ( 63 ~; 47 |; 4 &)
% ( 1 <=>; 30 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 51 ( 28 >; 23 *; 0 +; 0 <<)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 29 ( 29 usr; 6 con; 0-4 aty)
% Number of variables : 115 (; 115 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ subset > member > ilf_type > relation_like > empty > inverse4 > image4 > range > domain > relation_type > ordered_pair > inverse2 > image > cross_product > #nlpp > subset_type > range_of > power_set > member_type > domain_of > set_type > binary_relation_type > #skF_9 > #skF_11 > #skF_10 > #skF_13 > #skF_2 > #skF_8 > #skF_3 > #skF_7 > #skF_1 > #skF_5 > #skF_6 > #skF_12 > #skF_4
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(inverse4,type,
inverse4: ( $i * $i * $i * $i ) > $i ).
tff('#skF_9',type,
'#skF_9': $i > $i ).
tff(relation_type,type,
relation_type: ( $i * $i ) > $i ).
tff(power_set,type,
power_set: $i > $i ).
tff(inverse2,type,
inverse2: ( $i * $i ) > $i ).
tff('#skF_11',type,
'#skF_11': $i ).
tff(ordered_pair,type,
ordered_pair: ( $i * $i ) > $i ).
tff(cross_product,type,
cross_product: ( $i * $i ) > $i ).
tff(set_type,type,
set_type: $i ).
tff('#skF_10',type,
'#skF_10': $i > $i ).
tff(subset,type,
subset: ( $i * $i ) > $o ).
tff(member,type,
member: ( $i * $i ) > $o ).
tff('#skF_13',type,
'#skF_13': $i ).
tff('#skF_2',type,
'#skF_2': $i ).
tff('#skF_8',type,
'#skF_8': ( $i * $i ) > $i ).
tff(empty,type,
empty: $i > $o ).
tff(range,type,
range: ( $i * $i * $i ) > $i ).
tff(ilf_type,type,
ilf_type: ( $i * $i ) > $o ).
tff(member_type,type,
member_type: $i > $i ).
tff(image,type,
image: ( $i * $i ) > $i ).
tff(range_of,type,
range_of: $i > $i ).
tff(domain,type,
domain: ( $i * $i * $i ) > $i ).
tff(image4,type,
image4: ( $i * $i * $i * $i ) > $i ).
tff('#skF_3',type,
'#skF_3': $i > $i ).
tff(domain_of,type,
domain_of: $i > $i ).
tff(subset_type,type,
subset_type: $i > $i ).
tff(binary_relation_type,type,
binary_relation_type: $i ).
tff(relation_like,type,
relation_like: $i > $o ).
tff('#skF_7',type,
'#skF_7': ( $i * $i ) > $i ).
tff('#skF_1',type,
'#skF_1': ( $i * $i ) > $i ).
tff('#skF_5',type,
'#skF_5': ( $i * $i ) > $i ).
tff('#skF_6',type,
'#skF_6': $i > $i ).
tff('#skF_12',type,
'#skF_12': $i ).
tff('#skF_4',type,
'#skF_4': ( $i * $i ) > $i ).
tff(f_386,negated_conjecture,
~ ! [B] :
( ilf_type(B,set_type)
=> ! [C] :
( ilf_type(C,set_type)
=> ! [D] :
( ilf_type(D,relation_type(C,B))
=> ( ( image4(C,B,D,inverse4(C,B,D,B)) = range(C,B,D) )
& ( inverse4(C,B,D,image4(C,B,D,C)) = domain(C,B,D) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_relset_1_39) ).
tff(f_372,axiom,
! [B] : ilf_type(B,set_type),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p35) ).
tff(f_66,axiom,
! [B] :
( ilf_type(B,set_type)
=> ! [C] :
( ilf_type(C,set_type)
=> ( ! [D] :
( ilf_type(D,subset_type(cross_product(B,C)))
=> ilf_type(D,relation_type(B,C)) )
& ! [E] :
( ilf_type(E,relation_type(B,C))
=> ilf_type(E,subset_type(cross_product(B,C))) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4) ).
tff(f_243,axiom,
! [B] :
( ilf_type(B,set_type)
=> ! [C] :
( ilf_type(C,set_type)
=> ! [D] :
( ilf_type(D,subset_type(cross_product(B,C)))
=> relation_like(D) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p23) ).
tff(f_130,axiom,
! [B] :
( ilf_type(B,set_type)
=> ( ilf_type(B,binary_relation_type)
<=> ( relation_like(B)
& ilf_type(B,set_type) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p12) ).
tff(f_37,axiom,
! [B] :
( ilf_type(B,binary_relation_type)
=> ( inverse2(B,range_of(B)) = domain_of(B) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2) ).
tff(f_327,axiom,
! [B] :
( ilf_type(B,set_type)
=> ! [C] :
( ilf_type(C,set_type)
=> ! [D] :
( ilf_type(D,relation_type(B,C))
=> ! [E] :
( ilf_type(E,set_type)
=> ( image4(B,C,D,E) = image(D,E) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p31) ).
tff(f_302,axiom,
! [B] :
( ilf_type(B,set_type)
=> ! [C] :
( ilf_type(C,set_type)
=> ! [D] :
( ilf_type(D,relation_type(B,C))
=> ( range(B,C,D) = range_of(D) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p29) ).
tff(f_50,axiom,
! [B] :
( ilf_type(B,set_type)
=> ! [C] :
( ilf_type(C,set_type)
=> ! [D] :
( ilf_type(D,relation_type(B,C))
=> ( ( image4(B,C,D,B) = range(B,C,D) )
& ( inverse4(B,C,D,C) = domain(B,C,D) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3) ).
tff(f_355,axiom,
! [B] :
( ilf_type(B,set_type)
=> ! [C] :
( ilf_type(C,set_type)
=> ! [D] :
( ilf_type(D,relation_type(B,C))
=> ! [E] :
( ilf_type(E,set_type)
=> ( inverse4(B,C,D,E) = inverse2(D,E) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p33) ).
tff(f_280,axiom,
! [B] :
( ilf_type(B,set_type)
=> ! [C] :
( ilf_type(C,set_type)
=> ! [D] :
( ilf_type(D,relation_type(B,C))
=> ( domain(B,C,D) = domain_of(D) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p27) ).
tff(f_32,axiom,
! [B] :
( ilf_type(B,binary_relation_type)
=> ( image(B,domain_of(B)) = range_of(B) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p1) ).
tff(c_118,plain,
ilf_type('#skF_13',relation_type('#skF_12','#skF_11')),
inference(cnfTransformation,[status(thm)],[f_386]) ).
tff(c_114,plain,
! [B_203] : ilf_type(B_203,set_type),
inference(cnfTransformation,[status(thm)],[f_372]) ).
tff(c_10,plain,
! [E_20,B_10,C_16] :
( ilf_type(E_20,subset_type(cross_product(B_10,C_16)))
| ~ ilf_type(E_20,relation_type(B_10,C_16))
| ~ ilf_type(C_16,set_type)
| ~ ilf_type(B_10,set_type) ),
inference(cnfTransformation,[status(thm)],[f_66]) ).
tff(c_1570,plain,
! [E_454,B_455,C_456] :
( ilf_type(E_454,subset_type(cross_product(B_455,C_456)))
| ~ ilf_type(E_454,relation_type(B_455,C_456)) ),
inference(demodulation,[status(thm),theory(equality)],[c_114,c_114,c_10]) ).
tff(c_86,plain,
! [D_106,B_100,C_104] :
( relation_like(D_106)
| ~ ilf_type(D_106,subset_type(cross_product(B_100,C_104)))
| ~ ilf_type(C_104,set_type)
| ~ ilf_type(B_100,set_type) ),
inference(cnfTransformation,[status(thm)],[f_243]) ).
tff(c_152,plain,
! [D_106,B_100,C_104] :
( relation_like(D_106)
| ~ ilf_type(D_106,subset_type(cross_product(B_100,C_104))) ),
inference(demodulation,[status(thm),theory(equality)],[c_114,c_114,c_86]) ).
tff(c_1575,plain,
! [E_457,B_458,C_459] :
( relation_like(E_457)
| ~ ilf_type(E_457,relation_type(B_458,C_459)) ),
inference(resolution,[status(thm)],[c_1570,c_152]) ).
tff(c_1583,plain,
relation_like('#skF_13'),
inference(resolution,[status(thm)],[c_118,c_1575]) ).
tff(c_32,plain,
! [B_41] :
( ilf_type(B_41,binary_relation_type)
| ~ relation_like(B_41)
| ~ ilf_type(B_41,set_type) ),
inference(cnfTransformation,[status(thm)],[f_130]) ).
tff(c_202,plain,
! [B_41] :
( ilf_type(B_41,binary_relation_type)
| ~ relation_like(B_41) ),
inference(demodulation,[status(thm),theory(equality)],[c_114,c_32]) ).
tff(c_4,plain,
! [B_2] :
( ( inverse2(B_2,range_of(B_2)) = domain_of(B_2) )
| ~ ilf_type(B_2,binary_relation_type) ),
inference(cnfTransformation,[status(thm)],[f_37]) ).
tff(c_106,plain,
! [B_143,C_151,D_155,E_157] :
( ( image4(B_143,C_151,D_155,E_157) = image(D_155,E_157) )
| ~ ilf_type(E_157,set_type)
| ~ ilf_type(D_155,relation_type(B_143,C_151))
| ~ ilf_type(C_151,set_type)
| ~ ilf_type(B_143,set_type) ),
inference(cnfTransformation,[status(thm)],[f_327]) ).
tff(c_2181,plain,
! [B_546,C_547,D_548,E_549] :
( ( image4(B_546,C_547,D_548,E_549) = image(D_548,E_549) )
| ~ ilf_type(D_548,relation_type(B_546,C_547)) ),
inference(demodulation,[status(thm),theory(equality)],[c_114,c_114,c_114,c_106]) ).
tff(c_2202,plain,
! [E_549] : ( image4('#skF_12','#skF_11','#skF_13',E_549) = image('#skF_13',E_549) ),
inference(resolution,[status(thm)],[c_118,c_2181]) ).
tff(c_102,plain,
! [B_129,C_133,D_135] :
( ( range(B_129,C_133,D_135) = range_of(D_135) )
| ~ ilf_type(D_135,relation_type(B_129,C_133))
| ~ ilf_type(C_133,set_type)
| ~ ilf_type(B_129,set_type) ),
inference(cnfTransformation,[status(thm)],[f_302]) ).
tff(c_1619,plain,
! [B_466,C_467,D_468] :
( ( range(B_466,C_467,D_468) = range_of(D_468) )
| ~ ilf_type(D_468,relation_type(B_466,C_467)) ),
inference(demodulation,[status(thm),theory(equality)],[c_114,c_114,c_102]) ).
tff(c_1627,plain,
range('#skF_12','#skF_11','#skF_13') = range_of('#skF_13'),
inference(resolution,[status(thm)],[c_118,c_1619]) ).
tff(c_8,plain,
! [B_3,C_7,D_9] :
( ( image4(B_3,C_7,D_9,B_3) = range(B_3,C_7,D_9) )
| ~ ilf_type(D_9,relation_type(B_3,C_7))
| ~ ilf_type(C_7,set_type)
| ~ ilf_type(B_3,set_type) ),
inference(cnfTransformation,[status(thm)],[f_50]) ).
tff(c_2426,plain,
! [B_581,C_582,D_583] :
( ( image4(B_581,C_582,D_583,B_581) = range(B_581,C_582,D_583) )
| ~ ilf_type(D_583,relation_type(B_581,C_582)) ),
inference(demodulation,[status(thm),theory(equality)],[c_114,c_114,c_8]) ).
tff(c_2440,plain,
image4('#skF_12','#skF_11','#skF_13','#skF_12') = range('#skF_12','#skF_11','#skF_13'),
inference(resolution,[status(thm)],[c_118,c_2426]) ).
tff(c_2449,plain,
image('#skF_13','#skF_12') = range_of('#skF_13'),
inference(demodulation,[status(thm),theory(equality)],[c_2202,c_1627,c_2440]) ).
tff(c_110,plain,
! [B_173,C_181,D_185,E_187] :
( ( inverse4(B_173,C_181,D_185,E_187) = inverse2(D_185,E_187) )
| ~ ilf_type(E_187,set_type)
| ~ ilf_type(D_185,relation_type(B_173,C_181))
| ~ ilf_type(C_181,set_type)
| ~ ilf_type(B_173,set_type) ),
inference(cnfTransformation,[status(thm)],[f_355]) ).
tff(c_2067,plain,
! [B_533,C_534,D_535,E_536] :
( ( inverse4(B_533,C_534,D_535,E_536) = inverse2(D_535,E_536) )
| ~ ilf_type(D_535,relation_type(B_533,C_534)) ),
inference(demodulation,[status(thm),theory(equality)],[c_114,c_114,c_114,c_110]) ).
tff(c_2085,plain,
! [E_536] : ( inverse4('#skF_12','#skF_11','#skF_13',E_536) = inverse2('#skF_13',E_536) ),
inference(resolution,[status(thm)],[c_118,c_2067]) ).
tff(c_98,plain,
! [B_115,C_119,D_121] :
( ( domain(B_115,C_119,D_121) = domain_of(D_121) )
| ~ ilf_type(D_121,relation_type(B_115,C_119))
| ~ ilf_type(C_119,set_type)
| ~ ilf_type(B_115,set_type) ),
inference(cnfTransformation,[status(thm)],[f_280]) ).
tff(c_1713,plain,
! [B_484,C_485,D_486] :
( ( domain(B_484,C_485,D_486) = domain_of(D_486) )
| ~ ilf_type(D_486,relation_type(B_484,C_485)) ),
inference(demodulation,[status(thm),theory(equality)],[c_114,c_114,c_98]) ).
tff(c_1721,plain,
domain('#skF_12','#skF_11','#skF_13') = domain_of('#skF_13'),
inference(resolution,[status(thm)],[c_118,c_1713]) ).
tff(c_642,plain,
! [E_304,B_305,C_306] :
( ilf_type(E_304,subset_type(cross_product(B_305,C_306)))
| ~ ilf_type(E_304,relation_type(B_305,C_306)) ),
inference(demodulation,[status(thm),theory(equality)],[c_114,c_114,c_10]) ).
tff(c_656,plain,
! [E_307,B_308,C_309] :
( relation_like(E_307)
| ~ ilf_type(E_307,relation_type(B_308,C_309)) ),
inference(resolution,[status(thm)],[c_642,c_152]) ).
tff(c_678,plain,
relation_like('#skF_13'),
inference(resolution,[status(thm)],[c_118,c_656]) ).
tff(c_2,plain,
! [B_1] :
( ( image(B_1,domain_of(B_1)) = range_of(B_1) )
| ~ ilf_type(B_1,binary_relation_type) ),
inference(cnfTransformation,[status(thm)],[f_32]) ).
tff(c_955,plain,
! [B_351,C_352,D_353,E_354] :
( ( inverse4(B_351,C_352,D_353,E_354) = inverse2(D_353,E_354) )
| ~ ilf_type(D_353,relation_type(B_351,C_352)) ),
inference(demodulation,[status(thm),theory(equality)],[c_114,c_114,c_114,c_110]) ).
tff(c_976,plain,
! [E_354] : ( inverse4('#skF_12','#skF_11','#skF_13',E_354) = inverse2('#skF_13',E_354) ),
inference(resolution,[status(thm)],[c_118,c_955]) ).
tff(c_534,plain,
! [B_283,C_284,D_285] :
( ( domain(B_283,C_284,D_285) = domain_of(D_285) )
| ~ ilf_type(D_285,relation_type(B_283,C_284)) ),
inference(demodulation,[status(thm),theory(equality)],[c_114,c_114,c_98]) ).
tff(c_542,plain,
domain('#skF_12','#skF_11','#skF_13') = domain_of('#skF_13'),
inference(resolution,[status(thm)],[c_118,c_534]) ).
tff(c_6,plain,
! [B_3,C_7,D_9] :
( ( inverse4(B_3,C_7,D_9,C_7) = domain(B_3,C_7,D_9) )
| ~ ilf_type(D_9,relation_type(B_3,C_7))
| ~ ilf_type(C_7,set_type)
| ~ ilf_type(B_3,set_type) ),
inference(cnfTransformation,[status(thm)],[f_50]) ).
tff(c_1263,plain,
! [B_399,C_400,D_401] :
( ( inverse4(B_399,C_400,D_401,C_400) = domain(B_399,C_400,D_401) )
| ~ ilf_type(D_401,relation_type(B_399,C_400)) ),
inference(demodulation,[status(thm),theory(equality)],[c_114,c_114,c_6]) ).
tff(c_1277,plain,
inverse4('#skF_12','#skF_11','#skF_13','#skF_11') = domain('#skF_12','#skF_11','#skF_13'),
inference(resolution,[status(thm)],[c_118,c_1263]) ).
tff(c_1286,plain,
inverse2('#skF_13','#skF_11') = domain_of('#skF_13'),
inference(demodulation,[status(thm),theory(equality)],[c_976,c_542,c_1277]) ).
tff(c_1036,plain,
! [B_369,C_370,D_371,E_372] :
( ( image4(B_369,C_370,D_371,E_372) = image(D_371,E_372) )
| ~ ilf_type(D_371,relation_type(B_369,C_370)) ),
inference(demodulation,[status(thm),theory(equality)],[c_114,c_114,c_114,c_106]) ).
tff(c_1057,plain,
! [E_372] : ( image4('#skF_12','#skF_11','#skF_13',E_372) = image('#skF_13',E_372) ),
inference(resolution,[status(thm)],[c_118,c_1036]) ).
tff(c_697,plain,
! [B_317,C_318,D_319] :
( ( range(B_317,C_318,D_319) = range_of(D_319) )
| ~ ilf_type(D_319,relation_type(B_317,C_318)) ),
inference(demodulation,[status(thm),theory(equality)],[c_114,c_114,c_102]) ).
tff(c_717,plain,
range('#skF_12','#skF_11','#skF_13') = range_of('#skF_13'),
inference(resolution,[status(thm)],[c_118,c_697]) ).
tff(c_116,plain,
( ( inverse4('#skF_12','#skF_11','#skF_13',image4('#skF_12','#skF_11','#skF_13','#skF_12')) != domain('#skF_12','#skF_11','#skF_13') )
| ( image4('#skF_12','#skF_11','#skF_13',inverse4('#skF_12','#skF_11','#skF_13','#skF_11')) != range('#skF_12','#skF_11','#skF_13') ) ),
inference(cnfTransformation,[status(thm)],[f_386]) ).
tff(c_275,plain,
image4('#skF_12','#skF_11','#skF_13',inverse4('#skF_12','#skF_11','#skF_13','#skF_11')) != range('#skF_12','#skF_11','#skF_13'),
inference(splitLeft,[status(thm)],[c_116]) ).
tff(c_718,plain,
image4('#skF_12','#skF_11','#skF_13',inverse4('#skF_12','#skF_11','#skF_13','#skF_11')) != range_of('#skF_13'),
inference(demodulation,[status(thm),theory(equality)],[c_717,c_275]) ).
tff(c_979,plain,
image4('#skF_12','#skF_11','#skF_13',inverse2('#skF_13','#skF_11')) != range_of('#skF_13'),
inference(demodulation,[status(thm),theory(equality)],[c_976,c_718]) ).
tff(c_1059,plain,
image('#skF_13',inverse2('#skF_13','#skF_11')) != range_of('#skF_13'),
inference(demodulation,[status(thm),theory(equality)],[c_1057,c_979]) ).
tff(c_1287,plain,
image('#skF_13',domain_of('#skF_13')) != range_of('#skF_13'),
inference(demodulation,[status(thm),theory(equality)],[c_1286,c_1059]) ).
tff(c_1298,plain,
~ ilf_type('#skF_13',binary_relation_type),
inference(superposition,[status(thm),theory(equality)],[c_2,c_1287]) ).
tff(c_1301,plain,
~ relation_like('#skF_13'),
inference(resolution,[status(thm)],[c_202,c_1298]) ).
tff(c_1305,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_678,c_1301]) ).
tff(c_1306,plain,
inverse4('#skF_12','#skF_11','#skF_13',image4('#skF_12','#skF_11','#skF_13','#skF_12')) != domain('#skF_12','#skF_11','#skF_13'),
inference(splitRight,[status(thm)],[c_116]) ).
tff(c_1722,plain,
inverse4('#skF_12','#skF_11','#skF_13',image4('#skF_12','#skF_11','#skF_13','#skF_12')) != domain_of('#skF_13'),
inference(demodulation,[status(thm),theory(equality)],[c_1721,c_1306]) ).
tff(c_2086,plain,
inverse2('#skF_13',image4('#skF_12','#skF_11','#skF_13','#skF_12')) != domain_of('#skF_13'),
inference(demodulation,[status(thm),theory(equality)],[c_2085,c_1722]) ).
tff(c_2203,plain,
inverse2('#skF_13',image('#skF_13','#skF_12')) != domain_of('#skF_13'),
inference(demodulation,[status(thm),theory(equality)],[c_2202,c_2086]) ).
tff(c_2450,plain,
inverse2('#skF_13',range_of('#skF_13')) != domain_of('#skF_13'),
inference(demodulation,[status(thm),theory(equality)],[c_2449,c_2203]) ).
tff(c_2461,plain,
~ ilf_type('#skF_13',binary_relation_type),
inference(superposition,[status(thm),theory(equality)],[c_4,c_2450]) ).
tff(c_2464,plain,
~ relation_like('#skF_13'),
inference(resolution,[status(thm)],[c_202,c_2461]) ).
tff(c_2468,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_1583,c_2464]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : SET675+3 : TPTP v8.1.2. Released v2.2.0.
% 0.00/0.15 % 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
% 0.14/0.36 % Computer : n005.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
% 0.14/0.37 % CPULimit : 300
% 0.14/0.37 % WCLimit : 300
% 0.14/0.37 % DateTime : Thu Aug 3 16:59:26 EDT 2023
% 0.14/0.37 % CPUTime :
% 6.43/2.52 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.43/2.53
% 6.43/2.53 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 6.53/2.57
% 6.53/2.57 Inference rules
% 6.53/2.57 ----------------------
% 6.53/2.57 #Ref : 0
% 6.53/2.57 #Sup : 513
% 6.53/2.57 #Fact : 0
% 6.53/2.57 #Define : 0
% 6.53/2.57 #Split : 5
% 6.53/2.57 #Chain : 0
% 6.53/2.57 #Close : 0
% 6.53/2.57
% 6.53/2.57 Ordering : KBO
% 6.53/2.57
% 6.53/2.57 Simplification rules
% 6.53/2.57 ----------------------
% 6.53/2.57 #Subsume : 44
% 6.53/2.57 #Demod : 166
% 6.53/2.57 #Tautology : 117
% 6.53/2.57 #SimpNegUnit : 16
% 6.53/2.57 #BackRed : 10
% 6.53/2.57
% 6.53/2.57 #Partial instantiations: 0
% 6.53/2.57 #Strategies tried : 1
% 6.53/2.57
% 6.53/2.57 Timing (in seconds)
% 6.53/2.57 ----------------------
% 6.53/2.57 Preprocessing : 0.68
% 6.53/2.57 Parsing : 0.35
% 6.53/2.57 CNF conversion : 0.06
% 6.53/2.57 Main loop : 0.80
% 6.53/2.57 Inferencing : 0.32
% 6.53/2.57 Reduction : 0.23
% 6.53/2.57 Demodulation : 0.16
% 6.53/2.57 BG Simplification : 0.05
% 6.53/2.57 Subsumption : 0.15
% 6.53/2.57 Abstraction : 0.04
% 6.53/2.57 MUC search : 0.00
% 6.53/2.57 Cooper : 0.00
% 6.53/2.57 Total : 1.54
% 6.53/2.57 Index Insertion : 0.00
% 6.53/2.57 Index Deletion : 0.00
% 6.53/2.57 Index Matching : 0.00
% 6.53/2.57 BG Taut test : 0.00
%------------------------------------------------------------------------------