TSTP Solution File: RNG092+1 by Beagle---0.9.51
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : RNG092+1 : TPTP v8.1.2. 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 : n008.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 10:54:55 EDT 2023
% Result : Theorem 15.33s 4.81s
% Output : CNFRefutation 15.65s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 36
% Syntax : Number of formulae : 122 ( 40 unt; 30 typ; 2 def)
% Number of atoms : 246 ( 5 equ)
% Maximal formula atoms : 17 ( 2 avg)
% Number of connectives : 286 ( 132 ~; 122 |; 21 &)
% ( 3 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 23 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 59 ( 26 >; 33 *; 0 +; 0 <<)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 26 ( 26 usr; 4 con; 0-4 aty)
% Number of variables : 85 (; 79 !; 6 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ aElementOf0 > aSet0 > aIdeal0 > aElement0 > sdtpldt1 > sdtpldt0 > sdtasdt0 > sdtasasdt0 > #nlpp > smndt0 > xJ > xI > sz10 > sz00 > #skF_17 > #skF_6 > #skF_4 > #skF_8 > #skF_5 > #skF_7 > #skF_9 > #skF_15 > #skF_13 > #skF_14 > #skF_11 > #skF_3 > #skF_2 > #skF_12 > #skF_1 > #skF_16 > #skF_10
%Foreground sorts:
%Background operators:
%Foreground operators:
tff('#skF_17',type,
'#skF_17': ( $i * $i * $i ) > $i ).
tff(sdtasdt0,type,
sdtasdt0: ( $i * $i ) > $i ).
tff(aSet0,type,
aSet0: $i > $o ).
tff('#skF_6',type,
'#skF_6': ( $i * $i * $i ) > $i ).
tff(sz10,type,
sz10: $i ).
tff(sdtpldt1,type,
sdtpldt1: ( $i * $i ) > $i ).
tff(aElement0,type,
aElement0: $i > $o ).
tff(sz00,type,
sz00: $i ).
tff('#skF_4',type,
'#skF_4': ( $i * $i * $i ) > $i ).
tff(aIdeal0,type,
aIdeal0: $i > $o ).
tff(xI,type,
xI: $i ).
tff('#skF_8',type,
'#skF_8': ( $i * $i * $i * $i ) > $i ).
tff(sdtpldt0,type,
sdtpldt0: ( $i * $i ) > $i ).
tff(smndt0,type,
smndt0: $i > $i ).
tff('#skF_5',type,
'#skF_5': ( $i * $i * $i ) > $i ).
tff('#skF_7',type,
'#skF_7': ( $i * $i * $i * $i ) > $i ).
tff(aElementOf0,type,
aElementOf0: ( $i * $i ) > $o ).
tff('#skF_9',type,
'#skF_9': ( $i * $i * $i ) > $i ).
tff('#skF_15',type,
'#skF_15': ( $i * $i * $i ) > $i ).
tff('#skF_13',type,
'#skF_13': $i > $i ).
tff('#skF_14',type,
'#skF_14': ( $i * $i * $i ) > $i ).
tff('#skF_11',type,
'#skF_11': $i > $i ).
tff('#skF_3',type,
'#skF_3': ( $i * $i * $i ) > $i ).
tff('#skF_2',type,
'#skF_2': ( $i * $i ) > $i ).
tff(xJ,type,
xJ: $i ).
tff(sdtasasdt0,type,
sdtasasdt0: ( $i * $i ) > $i ).
tff('#skF_12',type,
'#skF_12': $i > $i ).
tff('#skF_1',type,
'#skF_1': ( $i * $i ) > $i ).
tff('#skF_16',type,
'#skF_16': ( $i * $i * $i ) > $i ).
tff('#skF_10',type,
'#skF_10': ( $i * $i * $i ) > $i ).
tff(f_245,negated_conjecture,
~ ( ! [W0,W1,W2] :
( ( aElementOf0(W0,sdtpldt1(xI,xJ))
& aElementOf0(W1,sdtpldt1(xI,xJ))
& aElement0(W2) )
=> ? [W3,W4] :
( aElementOf0(W3,xI)
& aElementOf0(W4,xJ)
& ( W0 = sdtpldt0(W3,W4) )
& ? [W5,W6] :
( aElementOf0(W5,xI)
& aElementOf0(W6,xJ)
& ( W1 = sdtpldt0(W5,W6) )
& aElementOf0(sdtpldt0(W3,W5),xI)
& aElementOf0(sdtpldt0(W4,W6),xJ)
& aElementOf0(sdtasdt0(W2,W3),xI)
& aElementOf0(sdtasdt0(W2,W4),xJ)
& ( sdtpldt0(W0,W1) = sdtpldt0(sdtpldt0(W3,W5),sdtpldt0(W4,W6)) )
& aElementOf0(sdtpldt0(W0,W1),sdtpldt1(xI,xJ))
& aElementOf0(sdtasdt0(W2,W0),sdtpldt1(xI,xJ)) ) ) )
=> aIdeal0(sdtpldt1(xI,xJ)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
tff(f_208,hypothesis,
( aIdeal0(xI)
& aIdeal0(xJ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__870) ).
tff(f_205,definition,
! [W0] :
( aIdeal0(W0)
<=> ( aSet0(W0)
& ! [W1] :
( aElementOf0(W1,W0)
=> ( ! [W2] :
( aElementOf0(W2,W0)
=> aElementOf0(sdtpldt0(W1,W2),W0) )
& ! [W2] :
( aElement0(W2)
=> aElementOf0(sdtasdt0(W2,W1),W0) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefIdeal) ).
tff(f_137,axiom,
! [W0] :
( aSet0(W0)
=> ! [W1] :
( aElementOf0(W1,W0)
=> aElement0(W1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mEOfElem) ).
tff(f_172,definition,
! [W0,W1] :
( ( aSet0(W0)
& aSet0(W1) )
=> ! [W2] :
( ( W2 = sdtpldt1(W0,W1) )
<=> ( aSet0(W2)
& ! [W3] :
( aElementOf0(W3,W2)
<=> ? [W4,W5] :
( aElementOf0(W4,W0)
& aElementOf0(W5,W1)
& ( sdtpldt0(W4,W5) = W3 ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefSSum) ).
tff(f_30,axiom,
aElement0(sz00),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsC) ).
tff(c_128,plain,
~ aIdeal0(sdtpldt1(xI,xJ)),
inference(cnfTransformation,[status(thm)],[f_245]) ).
tff(c_126,plain,
aIdeal0(xI),
inference(cnfTransformation,[status(thm)],[f_208]) ).
tff(c_108,plain,
! [W0_117] :
( aSet0(W0_117)
| ~ aIdeal0(W0_117) ),
inference(cnfTransformation,[status(thm)],[f_205]) ).
tff(c_148,plain,
! [W0_135,W1_136,W2_137] :
( aElementOf0('#skF_16'(W0_135,W1_136,W2_137),xI)
| ~ aElement0(W2_137)
| ~ aElementOf0(W1_136,sdtpldt1(xI,xJ))
| ~ aElementOf0(W0_135,sdtpldt1(xI,xJ)) ),
inference(cnfTransformation,[status(thm)],[f_245]) ).
tff(c_270,plain,
! [W1_160,W0_161] :
( aElement0(W1_160)
| ~ aElementOf0(W1_160,W0_161)
| ~ aSet0(W0_161) ),
inference(cnfTransformation,[status(thm)],[f_137]) ).
tff(c_277,plain,
! [W0_135,W1_136,W2_137] :
( aElement0('#skF_16'(W0_135,W1_136,W2_137))
| ~ aSet0(xI)
| ~ aElement0(W2_137)
| ~ aElementOf0(W1_136,sdtpldt1(xI,xJ))
| ~ aElementOf0(W0_135,sdtpldt1(xI,xJ)) ),
inference(resolution,[status(thm)],[c_148,c_270]) ).
tff(c_5450,plain,
~ aSet0(xI),
inference(splitLeft,[status(thm)],[c_277]) ).
tff(c_5453,plain,
~ aIdeal0(xI),
inference(resolution,[status(thm)],[c_108,c_5450]) ).
tff(c_5457,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_126,c_5453]) ).
tff(c_5459,plain,
aSet0(xI),
inference(splitRight,[status(thm)],[c_277]) ).
tff(c_124,plain,
aIdeal0(xJ),
inference(cnfTransformation,[status(thm)],[f_208]) ).
tff(c_152,plain,
! [W0_135,W1_136,W2_137] :
( aElementOf0('#skF_15'(W0_135,W1_136,W2_137),xJ)
| ~ aElement0(W2_137)
| ~ aElementOf0(W1_136,sdtpldt1(xI,xJ))
| ~ aElementOf0(W0_135,sdtpldt1(xI,xJ)) ),
inference(cnfTransformation,[status(thm)],[f_245]) ).
tff(c_278,plain,
! [W0_135,W1_136,W2_137] :
( aElement0('#skF_15'(W0_135,W1_136,W2_137))
| ~ aSet0(xJ)
| ~ aElement0(W2_137)
| ~ aElementOf0(W1_136,sdtpldt1(xI,xJ))
| ~ aElementOf0(W0_135,sdtpldt1(xI,xJ)) ),
inference(resolution,[status(thm)],[c_152,c_270]) ).
tff(c_6328,plain,
~ aSet0(xJ),
inference(splitLeft,[status(thm)],[c_278]) ).
tff(c_6331,plain,
~ aIdeal0(xJ),
inference(resolution,[status(thm)],[c_108,c_6328]) ).
tff(c_6335,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_124,c_6331]) ).
tff(c_6337,plain,
aSet0(xJ),
inference(splitRight,[status(thm)],[c_278]) ).
tff(c_64,plain,
! [W0_35,W1_36] :
( aSet0(sdtpldt1(W0_35,W1_36))
| ~ aSet0(W1_36)
| ~ aSet0(W0_35) ),
inference(cnfTransformation,[status(thm)],[f_172]) ).
tff(c_114,plain,
! [W0_117] :
( aElementOf0('#skF_11'(W0_117),W0_117)
| aIdeal0(W0_117)
| ~ aSet0(W0_117) ),
inference(cnfTransformation,[status(thm)],[f_205]) ).
tff(c_543,plain,
! [W0_181,W1_182,W2_183] :
( aElementOf0('#skF_17'(W0_181,W1_182,W2_183),xJ)
| ~ aElement0(W2_183)
| ~ aElementOf0(W1_182,sdtpldt1(xI,xJ))
| ~ aElementOf0(W0_181,sdtpldt1(xI,xJ)) ),
inference(cnfTransformation,[status(thm)],[f_245]) ).
tff(c_52,plain,
! [W1_30,W0_28] :
( aElement0(W1_30)
| ~ aElementOf0(W1_30,W0_28)
| ~ aSet0(W0_28) ),
inference(cnfTransformation,[status(thm)],[f_137]) ).
tff(c_547,plain,
! [W0_181,W1_182,W2_183] :
( aElement0('#skF_17'(W0_181,W1_182,W2_183))
| ~ aSet0(xJ)
| ~ aElement0(W2_183)
| ~ aElementOf0(W1_182,sdtpldt1(xI,xJ))
| ~ aElementOf0(W0_181,sdtpldt1(xI,xJ)) ),
inference(resolution,[status(thm)],[c_543,c_52]) ).
tff(c_8251,plain,
! [W0_343,W1_344,W2_345] :
( aElement0('#skF_17'(W0_343,W1_344,W2_345))
| ~ aElement0(W2_345)
| ~ aElementOf0(W1_344,sdtpldt1(xI,xJ))
| ~ aElementOf0(W0_343,sdtpldt1(xI,xJ)) ),
inference(demodulation,[status(thm),theory(equality)],[c_6337,c_547]) ).
tff(c_8273,plain,
! [W0_343,W2_345] :
( aElement0('#skF_17'(W0_343,'#skF_11'(sdtpldt1(xI,xJ)),W2_345))
| ~ aElement0(W2_345)
| ~ aElementOf0(W0_343,sdtpldt1(xI,xJ))
| aIdeal0(sdtpldt1(xI,xJ))
| ~ aSet0(sdtpldt1(xI,xJ)) ),
inference(resolution,[status(thm)],[c_114,c_8251]) ).
tff(c_8285,plain,
! [W0_343,W2_345] :
( aElement0('#skF_17'(W0_343,'#skF_11'(sdtpldt1(xI,xJ)),W2_345))
| ~ aElement0(W2_345)
| ~ aElementOf0(W0_343,sdtpldt1(xI,xJ))
| ~ aSet0(sdtpldt1(xI,xJ)) ),
inference(negUnitSimplification,[status(thm)],[c_128,c_8273]) ).
tff(c_8866,plain,
~ aSet0(sdtpldt1(xI,xJ)),
inference(splitLeft,[status(thm)],[c_8285]) ).
tff(c_8869,plain,
( ~ aSet0(xJ)
| ~ aSet0(xI) ),
inference(resolution,[status(thm)],[c_64,c_8866]) ).
tff(c_8876,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_5459,c_6337,c_8869]) ).
tff(c_8878,plain,
aSet0(sdtpldt1(xI,xJ)),
inference(splitRight,[status(thm)],[c_8285]) ).
tff(c_122,plain,
! [W0_117] :
( aElementOf0('#skF_12'(W0_117),W0_117)
| aElement0('#skF_13'(W0_117))
| aIdeal0(W0_117)
| ~ aSet0(W0_117) ),
inference(cnfTransformation,[status(thm)],[f_205]) ).
tff(c_336,plain,
! [W0_167,W1_168,W2_169] :
( aElementOf0('#skF_14'(W0_167,W1_168,W2_169),xI)
| ~ aElement0(W2_169)
| ~ aElementOf0(W1_168,sdtpldt1(xI,xJ))
| ~ aElementOf0(W0_167,sdtpldt1(xI,xJ)) ),
inference(cnfTransformation,[status(thm)],[f_245]) ).
tff(c_340,plain,
! [W0_167,W1_168,W2_169] :
( aElement0('#skF_14'(W0_167,W1_168,W2_169))
| ~ aSet0(xI)
| ~ aElement0(W2_169)
| ~ aElementOf0(W1_168,sdtpldt1(xI,xJ))
| ~ aElementOf0(W0_167,sdtpldt1(xI,xJ)) ),
inference(resolution,[status(thm)],[c_336,c_52]) ).
tff(c_7146,plain,
! [W0_332,W1_333,W2_334] :
( aElement0('#skF_14'(W0_332,W1_333,W2_334))
| ~ aElement0(W2_334)
| ~ aElementOf0(W1_333,sdtpldt1(xI,xJ))
| ~ aElementOf0(W0_332,sdtpldt1(xI,xJ)) ),
inference(demodulation,[status(thm),theory(equality)],[c_5459,c_340]) ).
tff(c_7159,plain,
! [W0_332,W2_334] :
( aElement0('#skF_14'(W0_332,'#skF_12'(sdtpldt1(xI,xJ)),W2_334))
| ~ aElement0(W2_334)
| ~ aElementOf0(W0_332,sdtpldt1(xI,xJ))
| aElement0('#skF_13'(sdtpldt1(xI,xJ)))
| aIdeal0(sdtpldt1(xI,xJ))
| ~ aSet0(sdtpldt1(xI,xJ)) ),
inference(resolution,[status(thm)],[c_122,c_7146]) ).
tff(c_7169,plain,
! [W0_332,W2_334] :
( aElement0('#skF_14'(W0_332,'#skF_12'(sdtpldt1(xI,xJ)),W2_334))
| ~ aElement0(W2_334)
| ~ aElementOf0(W0_332,sdtpldt1(xI,xJ))
| aElement0('#skF_13'(sdtpldt1(xI,xJ)))
| ~ aSet0(sdtpldt1(xI,xJ)) ),
inference(negUnitSimplification,[status(thm)],[c_128,c_7159]) ).
tff(c_14744,plain,
! [W0_332,W2_334] :
( aElement0('#skF_14'(W0_332,'#skF_12'(sdtpldt1(xI,xJ)),W2_334))
| ~ aElement0(W2_334)
| ~ aElementOf0(W0_332,sdtpldt1(xI,xJ))
| aElement0('#skF_13'(sdtpldt1(xI,xJ))) ),
inference(demodulation,[status(thm),theory(equality)],[c_8878,c_7169]) ).
tff(c_14745,plain,
aElement0('#skF_13'(sdtpldt1(xI,xJ))),
inference(splitLeft,[status(thm)],[c_14744]) ).
tff(c_130,plain,
! [W2_137,W0_135,W1_136] :
( aElementOf0(sdtasdt0(W2_137,W0_135),sdtpldt1(xI,xJ))
| ~ aElement0(W2_137)
| ~ aElementOf0(W1_136,sdtpldt1(xI,xJ))
| ~ aElementOf0(W0_135,sdtpldt1(xI,xJ)) ),
inference(cnfTransformation,[status(thm)],[f_245]) ).
tff(c_1150,plain,
! [W1_207] : ~ aElementOf0(W1_207,sdtpldt1(xI,xJ)),
inference(splitLeft,[status(thm)],[c_130]) ).
tff(c_1158,plain,
( aIdeal0(sdtpldt1(xI,xJ))
| ~ aSet0(sdtpldt1(xI,xJ)) ),
inference(resolution,[status(thm)],[c_114,c_1150]) ).
tff(c_1164,plain,
~ aSet0(sdtpldt1(xI,xJ)),
inference(negUnitSimplification,[status(thm)],[c_128,c_1158]) ).
tff(c_1171,plain,
( ~ aSet0(xJ)
| ~ aSet0(xI) ),
inference(resolution,[status(thm)],[c_64,c_1164]) ).
tff(c_1173,plain,
~ aSet0(xI),
inference(splitLeft,[status(thm)],[c_1171]) ).
tff(c_1176,plain,
~ aIdeal0(xI),
inference(resolution,[status(thm)],[c_108,c_1173]) ).
tff(c_1180,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_126,c_1176]) ).
tff(c_1181,plain,
~ aSet0(xJ),
inference(splitRight,[status(thm)],[c_1171]) ).
tff(c_1261,plain,
~ aIdeal0(xJ),
inference(resolution,[status(thm)],[c_108,c_1181]) ).
tff(c_1265,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_124,c_1261]) ).
tff(c_1266,plain,
! [W2_137,W0_135] :
( aElementOf0(sdtasdt0(W2_137,W0_135),sdtpldt1(xI,xJ))
| ~ aElement0(W2_137)
| ~ aElementOf0(W0_135,sdtpldt1(xI,xJ)) ),
inference(splitRight,[status(thm)],[c_130]) ).
tff(c_5278,plain,
! [W0_309] :
( aElementOf0('#skF_12'(W0_309),W0_309)
| ~ aElementOf0(sdtasdt0('#skF_13'(W0_309),'#skF_11'(W0_309)),W0_309)
| aIdeal0(W0_309)
| ~ aSet0(W0_309) ),
inference(cnfTransformation,[status(thm)],[f_205]) ).
tff(c_5286,plain,
( aElementOf0('#skF_12'(sdtpldt1(xI,xJ)),sdtpldt1(xI,xJ))
| aIdeal0(sdtpldt1(xI,xJ))
| ~ aSet0(sdtpldt1(xI,xJ))
| ~ aElement0('#skF_13'(sdtpldt1(xI,xJ)))
| ~ aElementOf0('#skF_11'(sdtpldt1(xI,xJ)),sdtpldt1(xI,xJ)) ),
inference(resolution,[status(thm)],[c_1266,c_5278]) ).
tff(c_5294,plain,
( aElementOf0('#skF_12'(sdtpldt1(xI,xJ)),sdtpldt1(xI,xJ))
| ~ aSet0(sdtpldt1(xI,xJ))
| ~ aElement0('#skF_13'(sdtpldt1(xI,xJ)))
| ~ aElementOf0('#skF_11'(sdtpldt1(xI,xJ)),sdtpldt1(xI,xJ)) ),
inference(negUnitSimplification,[status(thm)],[c_128,c_5286]) ).
tff(c_16016,plain,
( aElementOf0('#skF_12'(sdtpldt1(xI,xJ)),sdtpldt1(xI,xJ))
| ~ aElementOf0('#skF_11'(sdtpldt1(xI,xJ)),sdtpldt1(xI,xJ)) ),
inference(demodulation,[status(thm),theory(equality)],[c_14745,c_8878,c_5294]) ).
tff(c_16017,plain,
~ aElementOf0('#skF_11'(sdtpldt1(xI,xJ)),sdtpldt1(xI,xJ)),
inference(splitLeft,[status(thm)],[c_16016]) ).
tff(c_16020,plain,
( aIdeal0(sdtpldt1(xI,xJ))
| ~ aSet0(sdtpldt1(xI,xJ)) ),
inference(resolution,[status(thm)],[c_114,c_16017]) ).
tff(c_16023,plain,
aIdeal0(sdtpldt1(xI,xJ)),
inference(demodulation,[status(thm),theory(equality)],[c_8878,c_16020]) ).
tff(c_16025,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_128,c_16023]) ).
tff(c_16027,plain,
aElementOf0('#skF_11'(sdtpldt1(xI,xJ)),sdtpldt1(xI,xJ)),
inference(splitRight,[status(thm)],[c_16016]) ).
tff(c_16026,plain,
aElementOf0('#skF_12'(sdtpldt1(xI,xJ)),sdtpldt1(xI,xJ)),
inference(splitRight,[status(thm)],[c_16016]) ).
tff(c_132,plain,
! [W0_135,W1_136,W2_137] :
( aElementOf0(sdtpldt0(W0_135,W1_136),sdtpldt1(xI,xJ))
| ~ aElement0(W2_137)
| ~ aElementOf0(W1_136,sdtpldt1(xI,xJ))
| ~ aElementOf0(W0_135,sdtpldt1(xI,xJ)) ),
inference(cnfTransformation,[status(thm)],[f_245]) ).
tff(c_777,plain,
! [W2_137] : ~ aElement0(W2_137),
inference(splitLeft,[status(thm)],[c_132]) ).
tff(c_4,plain,
aElement0(sz00),
inference(cnfTransformation,[status(thm)],[f_30]) ).
tff(c_785,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_777,c_4]) ).
tff(c_786,plain,
! [W0_135,W1_136] :
( aElementOf0(sdtpldt0(W0_135,W1_136),sdtpldt1(xI,xJ))
| ~ aElementOf0(W1_136,sdtpldt1(xI,xJ))
| ~ aElementOf0(W0_135,sdtpldt1(xI,xJ)) ),
inference(splitRight,[status(thm)],[c_132]) ).
tff(c_14195,plain,
! [W0_418] :
( ~ aElementOf0(sdtpldt0('#skF_11'(W0_418),'#skF_12'(W0_418)),W0_418)
| ~ aElementOf0(sdtasdt0('#skF_13'(W0_418),'#skF_11'(W0_418)),W0_418)
| aIdeal0(W0_418)
| ~ aSet0(W0_418) ),
inference(cnfTransformation,[status(thm)],[f_205]) ).
tff(c_14203,plain,
( ~ aElementOf0(sdtasdt0('#skF_13'(sdtpldt1(xI,xJ)),'#skF_11'(sdtpldt1(xI,xJ))),sdtpldt1(xI,xJ))
| aIdeal0(sdtpldt1(xI,xJ))
| ~ aSet0(sdtpldt1(xI,xJ))
| ~ aElementOf0('#skF_12'(sdtpldt1(xI,xJ)),sdtpldt1(xI,xJ))
| ~ aElementOf0('#skF_11'(sdtpldt1(xI,xJ)),sdtpldt1(xI,xJ)) ),
inference(resolution,[status(thm)],[c_786,c_14195]) ).
tff(c_14215,plain,
( ~ aElementOf0(sdtasdt0('#skF_13'(sdtpldt1(xI,xJ)),'#skF_11'(sdtpldt1(xI,xJ))),sdtpldt1(xI,xJ))
| aIdeal0(sdtpldt1(xI,xJ))
| ~ aElementOf0('#skF_12'(sdtpldt1(xI,xJ)),sdtpldt1(xI,xJ))
| ~ aElementOf0('#skF_11'(sdtpldt1(xI,xJ)),sdtpldt1(xI,xJ)) ),
inference(demodulation,[status(thm),theory(equality)],[c_8878,c_14203]) ).
tff(c_14216,plain,
( ~ aElementOf0(sdtasdt0('#skF_13'(sdtpldt1(xI,xJ)),'#skF_11'(sdtpldt1(xI,xJ))),sdtpldt1(xI,xJ))
| ~ aElementOf0('#skF_12'(sdtpldt1(xI,xJ)),sdtpldt1(xI,xJ))
| ~ aElementOf0('#skF_11'(sdtpldt1(xI,xJ)),sdtpldt1(xI,xJ)) ),
inference(negUnitSimplification,[status(thm)],[c_128,c_14215]) ).
tff(c_23698,plain,
~ aElementOf0(sdtasdt0('#skF_13'(sdtpldt1(xI,xJ)),'#skF_11'(sdtpldt1(xI,xJ))),sdtpldt1(xI,xJ)),
inference(demodulation,[status(thm),theory(equality)],[c_16027,c_16026,c_14216]) ).
tff(c_23701,plain,
( ~ aElement0('#skF_13'(sdtpldt1(xI,xJ)))
| ~ aElementOf0('#skF_11'(sdtpldt1(xI,xJ)),sdtpldt1(xI,xJ)) ),
inference(resolution,[status(thm)],[c_1266,c_23698]) ).
tff(c_23708,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_16027,c_14745,c_23701]) ).
tff(c_23710,plain,
~ aElement0('#skF_13'(sdtpldt1(xI,xJ))),
inference(splitRight,[status(thm)],[c_14744]) ).
tff(c_5195,plain,
! [W0_307,W1_308] :
( aElementOf0(sdtpldt0(W0_307,W1_308),sdtpldt1(xI,xJ))
| ~ aElementOf0(W1_308,sdtpldt1(xI,xJ))
| ~ aElementOf0(W0_307,sdtpldt1(xI,xJ)) ),
inference(splitRight,[status(thm)],[c_132]) ).
tff(c_120,plain,
! [W0_117] :
( ~ aElementOf0(sdtpldt0('#skF_11'(W0_117),'#skF_12'(W0_117)),W0_117)
| aElement0('#skF_13'(W0_117))
| aIdeal0(W0_117)
| ~ aSet0(W0_117) ),
inference(cnfTransformation,[status(thm)],[f_205]) ).
tff(c_5199,plain,
( aElement0('#skF_13'(sdtpldt1(xI,xJ)))
| aIdeal0(sdtpldt1(xI,xJ))
| ~ aSet0(sdtpldt1(xI,xJ))
| ~ aElementOf0('#skF_12'(sdtpldt1(xI,xJ)),sdtpldt1(xI,xJ))
| ~ aElementOf0('#skF_11'(sdtpldt1(xI,xJ)),sdtpldt1(xI,xJ)) ),
inference(resolution,[status(thm)],[c_5195,c_120]) ).
tff(c_5274,plain,
( aElement0('#skF_13'(sdtpldt1(xI,xJ)))
| ~ aSet0(sdtpldt1(xI,xJ))
| ~ aElementOf0('#skF_12'(sdtpldt1(xI,xJ)),sdtpldt1(xI,xJ))
| ~ aElementOf0('#skF_11'(sdtpldt1(xI,xJ)),sdtpldt1(xI,xJ)) ),
inference(negUnitSimplification,[status(thm)],[c_128,c_5199]) ).
tff(c_25108,plain,
( aElement0('#skF_13'(sdtpldt1(xI,xJ)))
| ~ aElementOf0('#skF_12'(sdtpldt1(xI,xJ)),sdtpldt1(xI,xJ))
| ~ aElementOf0('#skF_11'(sdtpldt1(xI,xJ)),sdtpldt1(xI,xJ)) ),
inference(demodulation,[status(thm),theory(equality)],[c_8878,c_5274]) ).
tff(c_25109,plain,
( ~ aElementOf0('#skF_12'(sdtpldt1(xI,xJ)),sdtpldt1(xI,xJ))
| ~ aElementOf0('#skF_11'(sdtpldt1(xI,xJ)),sdtpldt1(xI,xJ)) ),
inference(negUnitSimplification,[status(thm)],[c_23710,c_25108]) ).
tff(c_25110,plain,
~ aElementOf0('#skF_11'(sdtpldt1(xI,xJ)),sdtpldt1(xI,xJ)),
inference(splitLeft,[status(thm)],[c_25109]) ).
tff(c_25113,plain,
( aIdeal0(sdtpldt1(xI,xJ))
| ~ aSet0(sdtpldt1(xI,xJ)) ),
inference(resolution,[status(thm)],[c_114,c_25110]) ).
tff(c_25116,plain,
aIdeal0(sdtpldt1(xI,xJ)),
inference(demodulation,[status(thm),theory(equality)],[c_8878,c_25113]) ).
tff(c_25118,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_128,c_25116]) ).
tff(c_25119,plain,
~ aElementOf0('#skF_12'(sdtpldt1(xI,xJ)),sdtpldt1(xI,xJ)),
inference(splitRight,[status(thm)],[c_25109]) ).
tff(c_25123,plain,
( aElement0('#skF_13'(sdtpldt1(xI,xJ)))
| aIdeal0(sdtpldt1(xI,xJ))
| ~ aSet0(sdtpldt1(xI,xJ)) ),
inference(resolution,[status(thm)],[c_122,c_25119]) ).
tff(c_25126,plain,
( aElement0('#skF_13'(sdtpldt1(xI,xJ)))
| aIdeal0(sdtpldt1(xI,xJ)) ),
inference(demodulation,[status(thm),theory(equality)],[c_8878,c_25123]) ).
tff(c_25128,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_128,c_23710,c_25126]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : RNG092+1 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.14 % 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
% 0.13/0.35 % Computer : n008.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Thu Aug 3 17:57:18 EDT 2023
% 0.13/0.35 % CPUTime :
% 15.33/4.81 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 15.33/4.82
% 15.33/4.82 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 15.65/4.85
% 15.65/4.85 Inference rules
% 15.65/4.85 ----------------------
% 15.65/4.85 #Ref : 0
% 15.65/4.85 #Sup : 5476
% 15.65/4.85 #Fact : 0
% 15.65/4.85 #Define : 0
% 15.65/4.85 #Split : 14
% 15.65/4.85 #Chain : 0
% 15.65/4.85 #Close : 0
% 15.65/4.85
% 15.65/4.85 Ordering : KBO
% 15.65/4.85
% 15.65/4.85 Simplification rules
% 15.65/4.85 ----------------------
% 15.65/4.85 #Subsume : 896
% 15.65/4.85 #Demod : 6504
% 15.65/4.85 #Tautology : 2333
% 15.65/4.85 #SimpNegUnit : 84
% 15.65/4.85 #BackRed : 8
% 15.65/4.85
% 15.65/4.85 #Partial instantiations: 0
% 15.65/4.85 #Strategies tried : 1
% 15.65/4.85
% 15.65/4.85 Timing (in seconds)
% 15.65/4.85 ----------------------
% 15.65/4.86 Preprocessing : 0.67
% 15.65/4.86 Parsing : 0.34
% 15.65/4.86 CNF conversion : 0.06
% 15.65/4.86 Main loop : 3.03
% 15.65/4.86 Inferencing : 0.95
% 15.65/4.86 Reduction : 1.04
% 15.65/4.86 Demodulation : 0.78
% 15.65/4.86 BG Simplification : 0.10
% 15.65/4.86 Subsumption : 0.74
% 15.65/4.86 Abstraction : 0.12
% 15.65/4.86 MUC search : 0.00
% 15.65/4.86 Cooper : 0.00
% 15.65/4.86 Total : 3.77
% 15.65/4.86 Index Insertion : 0.00
% 15.65/4.86 Index Deletion : 0.00
% 15.65/4.86 Index Matching : 0.00
% 15.65/4.86 BG Taut test : 0.00
%------------------------------------------------------------------------------