%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : PRO012+2 : TPTP v9.0.0. Released v4.0.0.
% 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 : Wed Apr 9 08:24:12 PM UTC 2025
% Result : Theorem 11.48s 4.04s
% Output : CNFRefutation 11.48s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 5
% Syntax : Number of formulae : 44 ( 13 unt; 0 typ; 0 def)
% Number of atoms : 109 ( 8 equ)
% Maximal formula atoms : 11 ( 2 avg)
% Number of connectives : 122 ( 57 ~; 46 |; 13 &)
% ( 1 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 19 ( 17 usr; 1 prp; 0-3 aty)
% Number of functors : 23 ( 23 usr; 6 con; 0-3 aty)
% Number of variables : 47 ( 41 !; 6 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ next_subocc > min_precedes > subactivity_occurrence > subactivity > root_occ > root > precedes > occurrence_of > leaf_occ > leaf > earlier > atocc > legal > atomic > arboreal > activity_occurrence > activity > #nlpp > tptp4 > tptp3 > tptp2 > tptp1 > tptp0 > #skF_7 > #skF_16 > #skF_6 > #skF_1 > #skF_18 > #skF_12 > #skF_3 > #skF_13 > #skF_14 > #skF_15 > #skF_10 > #skF_8 > #skF_11 > #skF_9 > #skF_17 > #skF_2 > #skF_5 > #skF_4
%Foreground sorts:
%Background operators:
%Foreground operators:
tff('#skF_7',type,
'#skF_7': $i > $i ).
tff(arboreal,type,
arboreal: $i > $o ).
tff('#skF_16',type,
'#skF_16': $i > $i ).
tff(tptp1,type,
tptp1: $i ).
tff('#skF_6',type,
'#skF_6': ( $i * $i ) > $i ).
tff('#skF_1',type,
'#skF_1': ( $i * $i * $i ) > $i ).
tff('#skF_18',type,
'#skF_18': $i ).
tff(subactivity,type,
subactivity: ( $i * $i ) > $o ).
tff(root,type,
root: ( $i * $i ) > $o ).
tff(tptp2,type,
tptp2: $i ).
tff(leaf,type,
leaf: ( $i * $i ) > $o ).
tff('#skF_12',type,
'#skF_12': ( $i * $i * $i ) > $i ).
tff(tptp0,type,
tptp0: $i ).
tff(root_occ,type,
root_occ: ( $i * $i ) > $o ).
tff(tptp3,type,
tptp3: $i ).
tff('#skF_3',type,
'#skF_3': ( $i * $i ) > $i ).
tff('#skF_13',type,
'#skF_13': ( $i * $i ) > $i ).
tff(occurrence_of,type,
occurrence_of: ( $i * $i ) > $o ).
tff(atomic,type,
atomic: $i > $o ).
tff('#skF_14',type,
'#skF_14': ( $i * $i ) > $i ).
tff(tptp4,type,
tptp4: $i ).
tff('#skF_15',type,
'#skF_15': $i > $i ).
tff(legal,type,
legal: $i > $o ).
tff(earlier,type,
earlier: ( $i * $i ) > $o ).
tff(activity_occurrence,type,
activity_occurrence: $i > $o ).
tff('#skF_10',type,
'#skF_10': ( $i * $i ) > $i ).
tff('#skF_8',type,
'#skF_8': ( $i * $i ) > $i ).
tff('#skF_11',type,
'#skF_11': ( $i * $i * $i ) > $i ).
tff(leaf_occ,type,
leaf_occ: ( $i * $i ) > $o ).
tff('#skF_9',type,
'#skF_9': ( $i * $i * $i ) > $i ).
tff('#skF_17',type,
'#skF_17': $i > $i ).
tff(activity,type,
activity: $i > $o ).
tff(min_precedes,type,
min_precedes: ( $i * $i * $i ) > $o ).
tff(precedes,type,
precedes: ( $i * $i ) > $o ).
tff('#skF_2',type,
'#skF_2': ( $i * $i ) > $i ).
tff(subactivity_occurrence,type,
subactivity_occurrence: ( $i * $i ) > $o ).
tff(next_subocc,type,
next_subocc: ( $i * $i * $i ) > $o ).
tff(atocc,type,
atocc: ( $i * $i ) > $o ).
tff('#skF_5',type,
'#skF_5': ( $i * $i ) > $i ).
tff('#skF_4',type,
'#skF_4': ( $i * $i ) > $i ).
tff(f_324,negated_conjecture,
~ ! [X100] :
( occurrence_of(X100,tptp0)
=> ? [X101,X102] :
( occurrence_of(X101,tptp3)
& root_occ(X101,X100)
& ( occurrence_of(X102,tptp2)
| occurrence_of(X102,tptp1) )
& min_precedes(X101,X102,tptp0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
tff(f_291,axiom,
! [X95] :
( occurrence_of(X95,tptp0)
=> ? [X96,X97,X98] :
( occurrence_of(X96,tptp3)
& root_occ(X96,X95)
& occurrence_of(X97,tptp4)
& min_precedes(X96,X97,tptp0)
& ( occurrence_of(X98,tptp2)
| occurrence_of(X98,tptp1) )
& min_precedes(X97,X98,tptp0)
& ! [X99] :
( min_precedes(X96,X99,tptp0)
=> ( ( X99 = X97 )
| ( X99 = X98 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_32) ).
tff(f_30,axiom,
! [X0,X1,X2,X3] :
( ( min_precedes(X0,X1,X3)
& min_precedes(X1,X2,X3) )
=> min_precedes(X0,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos) ).
tff(f_100,axiom,
! [X32,X33] :
( root_occ(X32,X33)
<=> ? [X34] :
( occurrence_of(X33,X34)
& subactivity_occurrence(X32,X33)
& root(X32,X34) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_10) ).
tff(f_184,axiom,
! [X64,X65,X66] :
( ( occurrence_of(X64,X65)
& occurrence_of(X64,X66) )
=> ( X65 = X66 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_22) ).
tff(c_166,plain,
occurrence_of('#skF_18',tptp0),
inference(cnfTransformation,[status(thm)],[f_324]) ).
tff(c_140,plain,
! [X95_110] :
( occurrence_of('#skF_15'(X95_110),tptp3)
| ~ occurrence_of(X95_110,tptp0) ),
inference(cnfTransformation,[status(thm)],[f_291]) ).
tff(c_138,plain,
! [X95_110] :
( root_occ('#skF_15'(X95_110),X95_110)
| ~ occurrence_of(X95_110,tptp0) ),
inference(cnfTransformation,[status(thm)],[f_291]) ).
tff(c_653,plain,
! [X95_247] :
( min_precedes('#skF_15'(X95_247),'#skF_16'(X95_247),tptp0)
| ~ occurrence_of(X95_247,tptp0) ),
inference(cnfTransformation,[status(thm)],[f_291]) ).
tff(c_170,plain,
! [X102_121,X101_120] :
( ~ occurrence_of(X102_121,tptp2)
| ~ min_precedes(X101_120,X102_121,tptp0)
| ~ root_occ(X101_120,'#skF_18')
| ~ occurrence_of(X101_120,tptp3) ),
inference(cnfTransformation,[status(thm)],[f_324]) ).
tff(c_809,plain,
! [X95_276] :
( ~ occurrence_of('#skF_16'(X95_276),tptp2)
| ~ root_occ('#skF_15'(X95_276),'#skF_18')
| ~ occurrence_of('#skF_15'(X95_276),tptp3)
| ~ occurrence_of(X95_276,tptp0) ),
inference(resolution,[status(thm)],[c_653,c_170]) ).
tff(c_816,plain,
( ~ occurrence_of('#skF_16'('#skF_18'),tptp2)
| ~ occurrence_of('#skF_15'('#skF_18'),tptp3)
| ~ occurrence_of('#skF_18',tptp0) ),
inference(resolution,[status(thm)],[c_138,c_809]) ).
tff(c_822,plain,
( ~ occurrence_of('#skF_16'('#skF_18'),tptp2)
| ~ occurrence_of('#skF_15'('#skF_18'),tptp3) ),
inference(demodulation,[status(thm),theory(equality)],[c_166,c_816]) ).
tff(c_847,plain,
~ occurrence_of('#skF_15'('#skF_18'),tptp3),
inference(splitLeft,[status(thm)],[c_822]) ).
tff(c_850,plain,
~ occurrence_of('#skF_18',tptp0),
inference(resolution,[status(thm)],[c_140,c_847]) ).
tff(c_854,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_166,c_850]) ).
tff(c_856,plain,
occurrence_of('#skF_15'('#skF_18'),tptp3),
inference(splitRight,[status(thm)],[c_822]) ).
tff(c_132,plain,
! [X95_110] :
( occurrence_of('#skF_17'(X95_110),tptp1)
| occurrence_of('#skF_17'(X95_110),tptp2)
| ~ occurrence_of(X95_110,tptp0) ),
inference(cnfTransformation,[status(thm)],[f_291]) ).
tff(c_134,plain,
! [X95_110] :
( min_precedes('#skF_15'(X95_110),'#skF_16'(X95_110),tptp0)
| ~ occurrence_of(X95_110,tptp0) ),
inference(cnfTransformation,[status(thm)],[f_291]) ).
tff(c_130,plain,
! [X95_110] :
( min_precedes('#skF_16'(X95_110),'#skF_17'(X95_110),tptp0)
| ~ occurrence_of(X95_110,tptp0) ),
inference(cnfTransformation,[status(thm)],[f_291]) ).
tff(c_2184,plain,
! [X0_488,X2_489,X3_490,X1_491] :
( min_precedes(X0_488,X2_489,X3_490)
| ~ min_precedes(X1_491,X2_489,X3_490)
| ~ min_precedes(X0_488,X1_491,X3_490) ),
inference(cnfTransformation,[status(thm)],[f_30]) ).
tff(c_3460,plain,
! [X0_623,X95_624] :
( min_precedes(X0_623,'#skF_17'(X95_624),tptp0)
| ~ min_precedes(X0_623,'#skF_16'(X95_624),tptp0)
| ~ occurrence_of(X95_624,tptp0) ),
inference(resolution,[status(thm)],[c_130,c_2184]) ).
tff(c_3479,plain,
! [X95_625] :
( min_precedes('#skF_15'(X95_625),'#skF_17'(X95_625),tptp0)
| ~ occurrence_of(X95_625,tptp0) ),
inference(resolution,[status(thm)],[c_134,c_3460]) ).
tff(c_3594,plain,
! [X95_638] :
( ~ occurrence_of('#skF_17'(X95_638),tptp2)
| ~ root_occ('#skF_15'(X95_638),'#skF_18')
| ~ occurrence_of('#skF_15'(X95_638),tptp3)
| ~ occurrence_of(X95_638,tptp0) ),
inference(resolution,[status(thm)],[c_3479,c_170]) ).
tff(c_3605,plain,
( ~ occurrence_of('#skF_17'('#skF_18'),tptp2)
| ~ occurrence_of('#skF_15'('#skF_18'),tptp3)
| ~ occurrence_of('#skF_18',tptp0) ),
inference(resolution,[status(thm)],[c_138,c_3594]) ).
tff(c_3614,plain,
~ occurrence_of('#skF_17'('#skF_18'),tptp2),
inference(demodulation,[status(thm),theory(equality)],[c_166,c_856,c_3605]) ).
tff(c_3617,plain,
( occurrence_of('#skF_17'('#skF_18'),tptp1)
| ~ occurrence_of('#skF_18',tptp0) ),
inference(resolution,[status(thm)],[c_132,c_3614]) ).
tff(c_3620,plain,
occurrence_of('#skF_17'('#skF_18'),tptp1),
inference(demodulation,[status(thm),theory(equality)],[c_166,c_3617]) ).
tff(c_431,plain,
! [X33_217,X32_218] :
( occurrence_of(X33_217,'#skF_2'(X32_218,X33_217))
| ~ root_occ(X32_218,X33_217) ),
inference(cnfTransformation,[status(thm)],[f_100]) ).
tff(c_353,plain,
! [X66_201,X65_202,X64_203] :
( ( X66_201 = X65_202 )
| ~ occurrence_of(X64_203,X66_201)
| ~ occurrence_of(X64_203,X65_202) ),
inference(cnfTransformation,[status(thm)],[f_184]) ).
tff(c_368,plain,
! [X65_202] :
( ( tptp0 = X65_202 )
| ~ occurrence_of('#skF_18',X65_202) ),
inference(resolution,[status(thm)],[c_166,c_353]) ).
tff(c_458,plain,
! [X32_223] :
( ( '#skF_2'(X32_223,'#skF_18') = tptp0 )
| ~ root_occ(X32_223,'#skF_18') ),
inference(resolution,[status(thm)],[c_431,c_368]) ).
tff(c_462,plain,
( ( '#skF_2'('#skF_15'('#skF_18'),'#skF_18') = tptp0 )
| ~ occurrence_of('#skF_18',tptp0) ),
inference(resolution,[status(thm)],[c_138,c_458]) ).
tff(c_465,plain,
'#skF_2'('#skF_15'('#skF_18'),'#skF_18') = tptp0,
inference(demodulation,[status(thm),theory(equality)],[c_166,c_462]) ).
tff(c_36,plain,
! [X32_35,X33_36] :
( root(X32_35,'#skF_2'(X32_35,X33_36))
| ~ root_occ(X32_35,X33_36) ),
inference(cnfTransformation,[status(thm)],[f_100]) ).
tff(c_475,plain,
( root('#skF_15'('#skF_18'),tptp0)
| ~ root_occ('#skF_15'('#skF_18'),'#skF_18') ),
inference(superposition,[status(thm),theory(equality)],[c_465,c_36]) ).
tff(c_481,plain,
~ root_occ('#skF_15'('#skF_18'),'#skF_18'),
inference(splitLeft,[status(thm)],[c_475]) ).
tff(c_484,plain,
~ occurrence_of('#skF_18',tptp0),
inference(resolution,[status(thm)],[c_138,c_481]) ).
tff(c_488,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_166,c_484]) ).
tff(c_490,plain,
root_occ('#skF_15'('#skF_18'),'#skF_18'),
inference(splitRight,[status(thm)],[c_475]) ).
tff(c_168,plain,
! [X102_121,X101_120] :
( ~ occurrence_of(X102_121,tptp1)
| ~ min_precedes(X101_120,X102_121,tptp0)
| ~ root_occ(X101_120,'#skF_18')
| ~ occurrence_of(X101_120,tptp3) ),
inference(cnfTransformation,[status(thm)],[f_324]) ).
tff(c_3748,plain,
! [X95_643] :
( ~ occurrence_of('#skF_17'(X95_643),tptp1)
| ~ root_occ('#skF_15'(X95_643),'#skF_18')
| ~ occurrence_of('#skF_15'(X95_643),tptp3)
| ~ occurrence_of(X95_643,tptp0) ),
inference(resolution,[status(thm)],[c_3479,c_168]) ).
tff(c_3755,plain,
( ~ occurrence_of('#skF_17'('#skF_18'),tptp1)
| ~ occurrence_of('#skF_15'('#skF_18'),tptp3)
| ~ occurrence_of('#skF_18',tptp0) ),
inference(resolution,[status(thm)],[c_490,c_3748]) ).
tff(c_3766,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_166,c_856,c_3620,c_3755]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : PRO012+2 : TPTP v9.0.0. Released v4.0.0.
% 0.00/0.10 % 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
% 0.09/0.29 % Computer : n018.cluster.edu
% 0.09/0.29 % Model : x86_64 x86_64
% 0.09/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29 % Memory : 8042.1875MB
% 0.09/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29 % CPULimit : 300
% 0.09/0.29 % WCLimit : 300
% 0.09/0.29 % DateTime : Tue Apr 8 16:59:47 EDT 2025
% 0.09/0.29 % CPUTime :
% 11.48/4.04 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 11.48/4.05
% 11.48/4.05 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------