TSTP Solution File: RNG098+2 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : RNG098+2 : 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 : n001.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 10:54:57 EDT 2023
% Result : Theorem 43.15s 29.34s
% Output : CNFRefutation 43.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 51
% Syntax : Number of formulae : 137 ( 43 unt; 34 typ; 0 def)
% Number of atoms : 235 ( 52 equ)
% Maximal formula atoms : 14 ( 2 avg)
% Number of connectives : 237 ( 105 ~; 94 |; 21 &)
% ( 0 <=>; 17 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 52 ( 25 >; 27 *; 0 +; 0 <<)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 29 ( 29 usr; 9 con; 0-4 aty)
% Number of variables : 78 (; 78 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ sdteqdtlpzmzozddtrp0 > aElementOf0 > aSet0 > aIdeal0 > aElement0 > sdtpldt1 > sdtpldt0 > sdtasdt0 > sdtasasdt0 > #nlpp > smndt0 > xy > xx > xw > xb > xa > xJ > xI > sz10 > sz00 > #skF_6 > #skF_4 > #skF_8 > #skF_15 > #skF_5 > #skF_7 > #skF_9 > #skF_13 > #skF_11 > #skF_3 > #skF_14 > #skF_2 > #skF_12 > #skF_1 > #skF_10
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(sdtasdt0,type,
sdtasdt0: ( $i * $i ) > $i ).
tff(aSet0,type,
aSet0: $i > $o ).
tff(xa,type,
xa: $i ).
tff('#skF_6',type,
'#skF_6': ( $i * $i * $i ) > $i ).
tff(sz10,type,
sz10: $i ).
tff(sdtpldt1,type,
sdtpldt1: ( $i * $i ) > $i ).
tff(xw,type,
xw: $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(xy,type,
xy: $i ).
tff('#skF_15',type,
'#skF_15': $i > $i ).
tff(sdtpldt0,type,
sdtpldt0: ( $i * $i ) > $i ).
tff(xx,type,
xx: $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(xb,type,
xb: $i ).
tff('#skF_9',type,
'#skF_9': ( $i * $i * $i ) > $i ).
tff('#skF_13',type,
'#skF_13': $i > $i ).
tff('#skF_11',type,
'#skF_11': $i > $i ).
tff('#skF_3',type,
'#skF_3': ( $i * $i * $i ) > $i ).
tff('#skF_14',type,
'#skF_14': $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(sdteqdtlpzmzozddtrp0,type,
sdteqdtlpzmzozddtrp0: ( $i * $i * $i ) > $o ).
tff('#skF_1',type,
'#skF_1': ( $i * $i ) > $i ).
tff('#skF_10',type,
'#skF_10': ( $i * $i * $i ) > $i ).
tff(f_260,hypothesis,
( aSet0(xI)
& ! [W0] :
( aElementOf0(W0,xI)
=> ( ! [W1] :
( aElementOf0(W1,xI)
=> aElementOf0(sdtpldt0(W0,W1),xI) )
& ! [W1] :
( aElement0(W1)
=> aElementOf0(sdtasdt0(W1,W0),xI) ) ) )
& aIdeal0(xI)
& aSet0(xJ)
& ! [W0] :
( aElementOf0(W0,xJ)
=> ( ! [W1] :
( aElementOf0(W1,xJ)
=> aElementOf0(sdtpldt0(W0,W1),xJ) )
& ! [W1] :
( aElement0(W1)
=> aElementOf0(sdtasdt0(W1,W0),xJ) ) ) )
& aIdeal0(xJ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1205) ).
tff(f_279,hypothesis,
( aElementOf0(xa,xI)
& aElementOf0(xb,xJ)
& ( sdtpldt0(xa,xb) = sz10 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1294) ).
tff(f_137,axiom,
! [W0] :
( aSet0(W0)
=> ! [W1] :
( aElementOf0(W1,W0)
=> aElement0(W1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mEOfElem) ).
tff(f_274,hypothesis,
( aElement0(xx)
& aElement0(xy) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1217) ).
tff(f_31,axiom,
aElement0(sz10),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsC_01) ).
tff(f_35,axiom,
! [W0] :
( aElement0(W0)
=> aElement0(smndt0(W0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsU) ).
tff(f_109,axiom,
! [W0] :
( aElement0(W0)
=> ( ( sdtasdt0(smndt0(sz10),W0) = smndt0(W0) )
& ( smndt0(W0) = sdtasdt0(W0,smndt0(sz10)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMulMnOne) ).
tff(f_79,axiom,
! [W0,W1] :
( ( aElement0(W0)
& aElement0(W1) )
=> ( sdtasdt0(W0,W1) = sdtasdt0(W1,W0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMulComm) ).
tff(f_47,axiom,
! [W0,W1] :
( ( aElement0(W0)
& aElement0(W1) )
=> aElement0(sdtasdt0(W0,W1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsB_02) ).
tff(f_67,axiom,
! [W0] :
( aElement0(W0)
=> ( ( sdtpldt0(W0,sz00) = W0 )
& ( W0 = sdtpldt0(sz00,W0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mAddZero) ).
tff(f_53,axiom,
! [W0,W1] :
( ( aElement0(W0)
& aElement0(W1) )
=> ( sdtpldt0(W0,W1) = sdtpldt0(W1,W0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mAddComm) ).
tff(f_73,axiom,
! [W0] :
( aElement0(W0)
=> ( ( sdtpldt0(W0,smndt0(W0)) = sz00 )
& ( sz00 = sdtpldt0(smndt0(W0),W0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mAddInvr) ).
tff(f_61,axiom,
! [W0,W1,W2] :
( ( aElement0(W0)
& aElement0(W1)
& aElement0(W2) )
=> ( sdtpldt0(sdtpldt0(W0,W1),W2) = sdtpldt0(W0,sdtpldt0(W1,W2)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mAddAsso) ).
tff(f_282,hypothesis,
aElementOf0(sdtasdt0(xx,sdtpldt0(xb,smndt0(sz10))),xI),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1393) ).
tff(f_103,axiom,
! [W0,W1,W2] :
( ( aElement0(W0)
& aElement0(W1)
& aElement0(W2) )
=> ( ( sdtasdt0(W0,sdtpldt0(W1,W2)) = sdtpldt0(sdtasdt0(W0,W1),sdtasdt0(W0,W2)) )
& ( sdtasdt0(sdtpldt0(W1,W2),W0) = sdtpldt0(sdtasdt0(W1,W0),sdtasdt0(W2,W0)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mAMDistr) ).
tff(f_284,negated_conjecture,
~ aElementOf0(sdtpldt0(xw,smndt0(xx)),xI),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
tff(f_281,hypothesis,
sdtpldt0(xw,smndt0(xx)) = sdtpldt0(sdtasdt0(xy,xa),sdtpldt0(sdtasdt0(xx,xb),smndt0(xx))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1374) ).
tff(c_138,plain,
aSet0(xI),
inference(cnfTransformation,[status(thm)],[f_260]) ).
tff(c_164,plain,
aElementOf0(xa,xI),
inference(cnfTransformation,[status(thm)],[f_279]) ).
tff(c_389,plain,
! [W1_166,W0_167] :
( aElement0(W1_166)
| ~ aElementOf0(W1_166,W0_167)
| ~ aSet0(W0_167) ),
inference(cnfTransformation,[status(thm)],[f_137]) ).
tff(c_401,plain,
( aElement0(xa)
| ~ aSet0(xI) ),
inference(resolution,[status(thm)],[c_164,c_389]) ).
tff(c_414,plain,
aElement0(xa),
inference(demodulation,[status(thm),theory(equality)],[c_138,c_401]) ).
tff(c_158,plain,
aElement0(xx),
inference(cnfTransformation,[status(thm)],[f_274]) ).
tff(c_6,plain,
aElement0(sz10),
inference(cnfTransformation,[status(thm)],[f_31]) ).
tff(c_8,plain,
! [W0_2] :
( aElement0(smndt0(W0_2))
| ~ aElement0(W0_2) ),
inference(cnfTransformation,[status(thm)],[f_35]) ).
tff(c_40,plain,
! [W0_23] :
( ( sdtasdt0(smndt0(sz10),W0_23) = smndt0(W0_23) )
| ~ aElement0(W0_23) ),
inference(cnfTransformation,[status(thm)],[f_109]) ).
tff(c_1088,plain,
! [W1_196,W0_197] :
( aElementOf0(sdtasdt0(W1_196,W0_197),xI)
| ~ aElement0(W1_196)
| ~ aElementOf0(W0_197,xI) ),
inference(cnfTransformation,[status(thm)],[f_260]) ).
tff(c_1109,plain,
! [W0_23] :
( aElementOf0(smndt0(W0_23),xI)
| ~ aElement0(smndt0(sz10))
| ~ aElementOf0(W0_23,xI)
| ~ aElement0(W0_23) ),
inference(superposition,[status(thm),theory(equality)],[c_40,c_1088]) ).
tff(c_24183,plain,
~ aElement0(smndt0(sz10)),
inference(splitLeft,[status(thm)],[c_1109]) ).
tff(c_24186,plain,
~ aElement0(sz10),
inference(resolution,[status(thm)],[c_8,c_24183]) ).
tff(c_24190,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_6,c_24186]) ).
tff(c_24192,plain,
aElement0(smndt0(sz10)),
inference(splitRight,[status(thm)],[c_1109]) ).
tff(c_38,plain,
! [W0_23] :
( ( sdtasdt0(W0_23,smndt0(sz10)) = smndt0(W0_23) )
| ~ aElement0(W0_23) ),
inference(cnfTransformation,[status(thm)],[f_109]) ).
tff(c_1238,plain,
! [W1_198,W0_199] :
( ( sdtasdt0(W1_198,W0_199) = sdtasdt0(W0_199,W1_198) )
| ~ aElement0(W1_198)
| ~ aElement0(W0_199) ),
inference(cnfTransformation,[status(thm)],[f_79]) ).
tff(c_1272,plain,
! [W0_199] :
( ( sdtasdt0(xa,W0_199) = sdtasdt0(W0_199,xa) )
| ~ aElement0(W0_199) ),
inference(resolution,[status(thm)],[c_414,c_1238]) ).
tff(c_24261,plain,
sdtasdt0(smndt0(sz10),xa) = sdtasdt0(xa,smndt0(sz10)),
inference(resolution,[status(thm)],[c_24192,c_1272]) ).
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_1091,plain,
! [W1_196,W0_197] :
( aElement0(sdtasdt0(W1_196,W0_197))
| ~ aSet0(xI)
| ~ aElement0(W1_196)
| ~ aElementOf0(W0_197,xI) ),
inference(resolution,[status(thm)],[c_1088,c_52]) ).
tff(c_1181,plain,
! [W1_196,W0_197] :
( aElement0(sdtasdt0(W1_196,W0_197))
| ~ aElement0(W1_196)
| ~ aElementOf0(W0_197,xI) ),
inference(demodulation,[status(thm),theory(equality)],[c_138,c_1091]) ).
tff(c_32238,plain,
( aElement0(sdtasdt0(xa,smndt0(sz10)))
| ~ aElement0(smndt0(sz10))
| ~ aElementOf0(xa,xI) ),
inference(superposition,[status(thm),theory(equality)],[c_24261,c_1181]) ).
tff(c_32287,plain,
aElement0(sdtasdt0(xa,smndt0(sz10))),
inference(demodulation,[status(thm),theory(equality)],[c_164,c_24192,c_32238]) ).
tff(c_32756,plain,
( aElement0(smndt0(xa))
| ~ aElement0(xa) ),
inference(superposition,[status(thm),theory(equality)],[c_38,c_32287]) ).
tff(c_32780,plain,
aElement0(smndt0(xa)),
inference(demodulation,[status(thm),theory(equality)],[c_414,c_32756]) ).
tff(c_32270,plain,
( ( sdtasdt0(xa,smndt0(sz10)) = smndt0(xa) )
| ~ aElement0(xa) ),
inference(superposition,[status(thm),theory(equality)],[c_24261,c_40]) ).
tff(c_32309,plain,
sdtasdt0(xa,smndt0(sz10)) = smndt0(xa),
inference(demodulation,[status(thm),theory(equality)],[c_414,c_32270]) ).
tff(c_862,plain,
! [W0_190,W1_191] :
( aElement0(sdtasdt0(W0_190,W1_191))
| ~ aElement0(W1_191)
| ~ aElement0(W0_190) ),
inference(cnfTransformation,[status(thm)],[f_47]) ).
tff(c_18,plain,
! [W0_12] :
( ( sdtpldt0(sz00,W0_12) = W0_12 )
| ~ aElement0(W0_12) ),
inference(cnfTransformation,[status(thm)],[f_67]) ).
tff(c_33190,plain,
! [W0_387,W1_388] :
( ( sdtpldt0(sz00,sdtasdt0(W0_387,W1_388)) = sdtasdt0(W0_387,W1_388) )
| ~ aElement0(W1_388)
| ~ aElement0(W0_387) ),
inference(resolution,[status(thm)],[c_862,c_18]) ).
tff(c_33262,plain,
( ( sdtpldt0(sz00,smndt0(xa)) = sdtasdt0(xa,smndt0(sz10)) )
| ~ aElement0(smndt0(sz10))
| ~ aElement0(xa) ),
inference(superposition,[status(thm),theory(equality)],[c_32309,c_33190]) ).
tff(c_33876,plain,
sdtpldt0(sz00,smndt0(xa)) = smndt0(xa),
inference(demodulation,[status(thm),theory(equality)],[c_414,c_24192,c_32309,c_33262]) ).
tff(c_134,plain,
aSet0(xJ),
inference(cnfTransformation,[status(thm)],[f_260]) ).
tff(c_162,plain,
aElementOf0(xb,xJ),
inference(cnfTransformation,[status(thm)],[f_279]) ).
tff(c_404,plain,
( aElement0(xb)
| ~ aSet0(xJ) ),
inference(resolution,[status(thm)],[c_162,c_389]) ).
tff(c_417,plain,
aElement0(xb),
inference(demodulation,[status(thm),theory(equality)],[c_134,c_404]) ).
tff(c_1281,plain,
! [W1_200,W0_201] :
( ( sdtpldt0(W1_200,W0_201) = sdtpldt0(W0_201,W1_200) )
| ~ aElement0(W1_200)
| ~ aElement0(W0_201) ),
inference(cnfTransformation,[status(thm)],[f_53]) ).
tff(c_1314,plain,
! [W0_201] :
( ( sdtpldt0(xb,W0_201) = sdtpldt0(W0_201,xb) )
| ~ aElement0(W0_201) ),
inference(resolution,[status(thm)],[c_417,c_1281]) ).
tff(c_24260,plain,
sdtpldt0(smndt0(sz10),xb) = sdtpldt0(xb,smndt0(sz10)),
inference(resolution,[status(thm)],[c_24192,c_1314]) ).
tff(c_472,plain,
sdtpldt0(sz00,xb) = xb,
inference(resolution,[status(thm)],[c_417,c_18]) ).
tff(c_160,plain,
sdtpldt0(xa,xb) = sz10,
inference(cnfTransformation,[status(thm)],[f_279]) ).
tff(c_22,plain,
! [W0_13] :
( ( sdtpldt0(smndt0(W0_13),W0_13) = sz00 )
| ~ aElement0(W0_13) ),
inference(cnfTransformation,[status(thm)],[f_73]) ).
tff(c_4555,plain,
! [W0_243,W1_244,W2_245] :
( ( sdtpldt0(sdtpldt0(W0_243,W1_244),W2_245) = sdtpldt0(W0_243,sdtpldt0(W1_244,W2_245)) )
| ~ aElement0(W2_245)
| ~ aElement0(W1_244)
| ~ aElement0(W0_243) ),
inference(cnfTransformation,[status(thm)],[f_61]) ).
tff(c_67408,plain,
! [W0_493,W2_494] :
( ( sdtpldt0(smndt0(W0_493),sdtpldt0(W0_493,W2_494)) = sdtpldt0(sz00,W2_494) )
| ~ aElement0(W2_494)
| ~ aElement0(W0_493)
| ~ aElement0(smndt0(W0_493))
| ~ aElement0(W0_493) ),
inference(superposition,[status(thm),theory(equality)],[c_22,c_4555]) ).
tff(c_67903,plain,
( ( sdtpldt0(smndt0(xa),sz10) = sdtpldt0(sz00,xb) )
| ~ aElement0(xb)
| ~ aElement0(xa)
| ~ aElement0(smndt0(xa))
| ~ aElement0(xa) ),
inference(superposition,[status(thm),theory(equality)],[c_160,c_67408]) ).
tff(c_68151,plain,
sdtpldt0(smndt0(xa),sz10) = xb,
inference(demodulation,[status(thm),theory(equality)],[c_414,c_32780,c_414,c_417,c_472,c_67903]) ).
tff(c_1316,plain,
! [W0_2,W0_201] :
( ( sdtpldt0(smndt0(W0_2),W0_201) = sdtpldt0(W0_201,smndt0(W0_2)) )
| ~ aElement0(W0_201)
| ~ aElement0(W0_2) ),
inference(resolution,[status(thm)],[c_8,c_1281]) ).
tff(c_68441,plain,
( ( sdtpldt0(sz10,smndt0(xa)) = xb )
| ~ aElement0(sz10)
| ~ aElement0(xa) ),
inference(superposition,[status(thm),theory(equality)],[c_68151,c_1316]) ).
tff(c_68510,plain,
sdtpldt0(sz10,smndt0(xa)) = xb,
inference(demodulation,[status(thm),theory(equality)],[c_414,c_6,c_68441]) ).
tff(c_4625,plain,
! [W0_13,W2_245] :
( ( sdtpldt0(smndt0(W0_13),sdtpldt0(W0_13,W2_245)) = sdtpldt0(sz00,W2_245) )
| ~ aElement0(W2_245)
| ~ aElement0(W0_13)
| ~ aElement0(smndt0(W0_13))
| ~ aElement0(W0_13) ),
inference(superposition,[status(thm),theory(equality)],[c_22,c_4555]) ).
tff(c_68541,plain,
( ( sdtpldt0(smndt0(sz10),xb) = sdtpldt0(sz00,smndt0(xa)) )
| ~ aElement0(smndt0(xa))
| ~ aElement0(sz10)
| ~ aElement0(smndt0(sz10))
| ~ aElement0(sz10) ),
inference(superposition,[status(thm),theory(equality)],[c_68510,c_4625]) ).
tff(c_68617,plain,
sdtpldt0(xb,smndt0(sz10)) = smndt0(xa),
inference(demodulation,[status(thm),theory(equality)],[c_6,c_24192,c_6,c_32780,c_33876,c_24260,c_68541]) ).
tff(c_170,plain,
aElementOf0(sdtasdt0(xx,sdtpldt0(xb,smndt0(sz10))),xI),
inference(cnfTransformation,[status(thm)],[f_282]) ).
tff(c_71946,plain,
aElementOf0(sdtasdt0(xx,smndt0(xa)),xI),
inference(demodulation,[status(thm),theory(equality)],[c_68617,c_170]) ).
tff(c_1273,plain,
! [W0_2,W0_199] :
( ( sdtasdt0(smndt0(W0_2),W0_199) = sdtasdt0(W0_199,smndt0(W0_2)) )
| ~ aElement0(W0_199)
| ~ aElement0(W0_2) ),
inference(resolution,[status(thm)],[c_8,c_1238]) ).
tff(c_71944,plain,
sdtpldt0(smndt0(sz10),xb) = smndt0(xa),
inference(demodulation,[status(thm),theory(equality)],[c_68617,c_24260]) ).
tff(c_6243,plain,
! [W1_263,W0_264,W2_265] :
( ( sdtpldt0(sdtasdt0(W1_263,W0_264),sdtasdt0(W2_265,W0_264)) = sdtasdt0(sdtpldt0(W1_263,W2_265),W0_264) )
| ~ aElement0(W2_265)
| ~ aElement0(W1_263)
| ~ aElement0(W0_264) ),
inference(cnfTransformation,[status(thm)],[f_103]) ).
tff(c_6540,plain,
! [W0_23,W2_265] :
( ( sdtpldt0(smndt0(W0_23),sdtasdt0(W2_265,W0_23)) = sdtasdt0(sdtpldt0(smndt0(sz10),W2_265),W0_23) )
| ~ aElement0(W2_265)
| ~ aElement0(smndt0(sz10))
| ~ aElement0(W0_23)
| ~ aElement0(W0_23) ),
inference(superposition,[status(thm),theory(equality)],[c_40,c_6243]) ).
tff(c_104734,plain,
! [W0_572,W2_573] :
( ( sdtpldt0(smndt0(W0_572),sdtasdt0(W2_573,W0_572)) = sdtasdt0(sdtpldt0(smndt0(sz10),W2_573),W0_572) )
| ~ aElement0(W2_573)
| ~ aElement0(W0_572) ),
inference(demodulation,[status(thm),theory(equality)],[c_24192,c_6540]) ).
tff(c_3134,plain,
! [W0_226] :
( ( sdtasdt0(xx,W0_226) = sdtasdt0(W0_226,xx) )
| ~ aElement0(W0_226) ),
inference(resolution,[status(thm)],[c_158,c_1238]) ).
tff(c_3208,plain,
sdtasdt0(xx,xb) = sdtasdt0(xb,xx),
inference(resolution,[status(thm)],[c_417,c_3134]) ).
tff(c_12,plain,
! [W0_5,W1_6] :
( aElement0(sdtasdt0(W0_5,W1_6))
| ~ aElement0(W1_6)
| ~ aElement0(W0_5) ),
inference(cnfTransformation,[status(thm)],[f_47]) ).
tff(c_3259,plain,
( aElement0(sdtasdt0(xb,xx))
| ~ aElement0(xb)
| ~ aElement0(xx) ),
inference(superposition,[status(thm),theory(equality)],[c_3208,c_12]) ).
tff(c_3271,plain,
aElement0(sdtasdt0(xb,xx)),
inference(demodulation,[status(thm),theory(equality)],[c_158,c_417,c_3259]) ).
tff(c_35870,plain,
! [W0_391,W0_392] :
( ( sdtpldt0(smndt0(W0_391),W0_392) = sdtpldt0(W0_392,smndt0(W0_391)) )
| ~ aElement0(W0_392)
| ~ aElement0(W0_391) ),
inference(resolution,[status(thm)],[c_8,c_1281]) ).
tff(c_172,plain,
~ aElementOf0(sdtpldt0(xw,smndt0(xx)),xI),
inference(cnfTransformation,[status(thm)],[f_284]) ).
tff(c_156,plain,
aElement0(xy),
inference(cnfTransformation,[status(thm)],[f_274]) ).
tff(c_2276,plain,
! [W0_215] :
( ( sdtasdt0(xy,W0_215) = sdtasdt0(W0_215,xy) )
| ~ aElement0(W0_215) ),
inference(resolution,[status(thm)],[c_156,c_1238]) ).
tff(c_2339,plain,
sdtasdt0(xy,xa) = sdtasdt0(xa,xy),
inference(resolution,[status(thm)],[c_414,c_2276]) ).
tff(c_144,plain,
! [W1_151,W0_147] :
( aElementOf0(sdtasdt0(W1_151,W0_147),xI)
| ~ aElement0(W1_151)
| ~ aElementOf0(W0_147,xI) ),
inference(cnfTransformation,[status(thm)],[f_260]) ).
tff(c_2633,plain,
( aElementOf0(sdtasdt0(xa,xy),xI)
| ~ aElement0(xy)
| ~ aElementOf0(xa,xI) ),
inference(superposition,[status(thm),theory(equality)],[c_2339,c_144]) ).
tff(c_2646,plain,
aElementOf0(sdtasdt0(xa,xy),xI),
inference(demodulation,[status(thm),theory(equality)],[c_164,c_156,c_2633]) ).
tff(c_168,plain,
sdtpldt0(sdtasdt0(xy,xa),sdtpldt0(sdtasdt0(xx,xb),smndt0(xx))) = sdtpldt0(xw,smndt0(xx)),
inference(cnfTransformation,[status(thm)],[f_281]) ).
tff(c_2928,plain,
sdtpldt0(sdtasdt0(xa,xy),sdtpldt0(sdtasdt0(xx,xb),smndt0(xx))) = sdtpldt0(xw,smndt0(xx)),
inference(demodulation,[status(thm),theory(equality)],[c_2339,c_168]) ).
tff(c_146,plain,
! [W0_147,W1_150] :
( aElementOf0(sdtpldt0(W0_147,W1_150),xI)
| ~ aElementOf0(W1_150,xI)
| ~ aElementOf0(W0_147,xI) ),
inference(cnfTransformation,[status(thm)],[f_260]) ).
tff(c_2935,plain,
( aElementOf0(sdtpldt0(xw,smndt0(xx)),xI)
| ~ aElementOf0(sdtpldt0(sdtasdt0(xx,xb),smndt0(xx)),xI)
| ~ aElementOf0(sdtasdt0(xa,xy),xI) ),
inference(superposition,[status(thm),theory(equality)],[c_2928,c_146]) ).
tff(c_2945,plain,
( aElementOf0(sdtpldt0(xw,smndt0(xx)),xI)
| ~ aElementOf0(sdtpldt0(sdtasdt0(xx,xb),smndt0(xx)),xI) ),
inference(demodulation,[status(thm),theory(equality)],[c_2646,c_2935]) ).
tff(c_2946,plain,
~ aElementOf0(sdtpldt0(sdtasdt0(xx,xb),smndt0(xx)),xI),
inference(negUnitSimplification,[status(thm)],[c_172,c_2945]) ).
tff(c_3325,plain,
~ aElementOf0(sdtpldt0(sdtasdt0(xb,xx),smndt0(xx)),xI),
inference(demodulation,[status(thm),theory(equality)],[c_3208,c_2946]) ).
tff(c_36020,plain,
( ~ aElementOf0(sdtpldt0(smndt0(xx),sdtasdt0(xb,xx)),xI)
| ~ aElement0(sdtasdt0(xb,xx))
| ~ aElement0(xx) ),
inference(superposition,[status(thm),theory(equality)],[c_35870,c_3325]) ).
tff(c_36164,plain,
~ aElementOf0(sdtpldt0(smndt0(xx),sdtasdt0(xb,xx)),xI),
inference(demodulation,[status(thm),theory(equality)],[c_158,c_3271,c_36020]) ).
tff(c_104774,plain,
( ~ aElementOf0(sdtasdt0(sdtpldt0(smndt0(sz10),xb),xx),xI)
| ~ aElement0(xb)
| ~ aElement0(xx) ),
inference(superposition,[status(thm),theory(equality)],[c_104734,c_36164]) ).
tff(c_105879,plain,
~ aElementOf0(sdtasdt0(smndt0(xa),xx),xI),
inference(demodulation,[status(thm),theory(equality)],[c_158,c_417,c_71944,c_104774]) ).
tff(c_106563,plain,
( ~ aElementOf0(sdtasdt0(xx,smndt0(xa)),xI)
| ~ aElement0(xx)
| ~ aElement0(xa) ),
inference(superposition,[status(thm),theory(equality)],[c_1273,c_105879]) ).
tff(c_106572,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_414,c_158,c_71946,c_106563]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : RNG098+2 : 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
% 0.13/0.36 % Computer : n001.cluster.edu
% 0.13/0.36 % Model : x86_64 x86_64
% 0.13/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.36 % Memory : 8042.1875MB
% 0.13/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.36 % CPULimit : 300
% 0.13/0.36 % WCLimit : 300
% 0.13/0.36 % DateTime : Thu Aug 3 18:31:10 EDT 2023
% 0.13/0.36 % CPUTime :
% 43.15/29.34 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 43.24/29.36
% 43.24/29.36 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 43.24/29.40
% 43.24/29.40 Inference rules
% 43.24/29.40 ----------------------
% 43.24/29.40 #Ref : 0
% 43.24/29.40 #Sup : 23100
% 43.24/29.40 #Fact : 0
% 43.24/29.40 #Define : 0
% 43.24/29.40 #Split : 41
% 43.24/29.40 #Chain : 0
% 43.24/29.40 #Close : 0
% 43.24/29.40
% 43.24/29.40 Ordering : KBO
% 43.24/29.40
% 43.24/29.40 Simplification rules
% 43.24/29.40 ----------------------
% 43.24/29.40 #Subsume : 3245
% 43.24/29.40 #Demod : 42661
% 43.24/29.40 #Tautology : 9212
% 43.24/29.40 #SimpNegUnit : 245
% 43.24/29.40 #BackRed : 85
% 43.24/29.40
% 43.24/29.40 #Partial instantiations: 0
% 43.24/29.40 #Strategies tried : 1
% 43.24/29.40
% 43.24/29.40 Timing (in seconds)
% 43.24/29.40 ----------------------
% 43.24/29.40 Preprocessing : 0.69
% 43.24/29.40 Parsing : 0.35
% 43.24/29.40 CNF conversion : 0.06
% 43.24/29.40 Main loop : 27.62
% 43.24/29.40 Inferencing : 2.71
% 43.24/29.40 Reduction : 18.84
% 43.24/29.40 Demodulation : 17.16
% 43.24/29.40 BG Simplification : 0.18
% 43.24/29.40 Subsumption : 5.09
% 43.24/29.40 Abstraction : 0.29
% 43.24/29.40 MUC search : 0.00
% 43.24/29.40 Cooper : 0.00
% 43.24/29.40 Total : 28.37
% 43.24/29.40 Index Insertion : 0.00
% 43.24/29.40 Index Deletion : 0.00
% 43.24/29.40 Index Matching : 0.00
% 43.24/29.40 BG Taut test : 0.00
%------------------------------------------------------------------------------