TSTP Solution File: RNG082+1 by Beagle---0.9.51
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : RNG082+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 : n007.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 10:54:54 EDT 2023
% Result : Theorem 18.82s 7.78s
% Output : CNFRefutation 18.91s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 20
% Syntax : Number of formulae : 98 ( 40 unt; 7 typ; 0 def)
% Number of atoms : 193 ( 71 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 192 ( 90 ~; 82 |; 11 &)
% ( 0 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 6 ( 4 >; 2 *; 0 +; 0 <<)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 60 (; 60 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ aElement0 > sdtpldt0 > sdtasdt0 > #nlpp > smndt0 > xx > sz10 > sz00
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(sdtasdt0,type,
sdtasdt0: ( $i * $i ) > $i ).
tff(sz10,type,
sz10: $i ).
tff(aElement0,type,
aElement0: $i > $o ).
tff(sz00,type,
sz00: $i ).
tff(sdtpldt0,type,
sdtpldt0: ( $i * $i ) > $i ).
tff(xx,type,
xx: $i ).
tff(smndt0,type,
smndt0: $i > $i ).
tff(f_31,axiom,
aElement0(sz10),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsC_01) ).
tff(f_104,hypothesis,
aElement0(xx),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__444) ).
tff(f_35,axiom,
! [W0] :
( aElement0(W0)
=> aElement0(smndt0(W0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsU) ).
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_106,negated_conjecture,
sdtasdt0(smndt0(sz10),xx) != smndt0(xx),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
tff(f_30,axiom,
aElement0(sz00),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsC) ).
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_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_47,axiom,
! [W0,W1] :
( ( aElement0(W0)
& aElement0(W1) )
=> aElement0(sdtasdt0(W0,W1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsB_02) ).
tff(f_93,axiom,
! [W0] :
( aElement0(W0)
=> ( ( sdtasdt0(W0,sz10) = W0 )
& ( W0 = sdtasdt0(sz10,W0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMulUnit) ).
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_53,axiom,
! [W0,W1] :
( ( aElement0(W0)
& aElement0(W1) )
=> ( sdtpldt0(W0,W1) = sdtpldt0(W1,W0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mAddComm) ).
tff(c_6,plain,
aElement0(sz10),
inference(cnfTransformation,[status(thm)],[f_31]) ).
tff(c_38,plain,
aElement0(xx),
inference(cnfTransformation,[status(thm)],[f_104]) ).
tff(c_8,plain,
! [W0_2] :
( aElement0(smndt0(W0_2))
| ~ aElement0(W0_2) ),
inference(cnfTransformation,[status(thm)],[f_35]) ).
tff(c_312,plain,
! [W1_35,W0_36] :
( ( sdtasdt0(W1_35,W0_36) = sdtasdt0(W0_36,W1_35) )
| ~ aElement0(W1_35)
| ~ aElement0(W0_36) ),
inference(cnfTransformation,[status(thm)],[f_79]) ).
tff(c_1377,plain,
! [W0_62,W0_63] :
( ( sdtasdt0(smndt0(W0_62),W0_63) = sdtasdt0(W0_63,smndt0(W0_62)) )
| ~ aElement0(W0_63)
| ~ aElement0(W0_62) ),
inference(resolution,[status(thm)],[c_8,c_312]) ).
tff(c_40,plain,
sdtasdt0(smndt0(sz10),xx) != smndt0(xx),
inference(cnfTransformation,[status(thm)],[f_106]) ).
tff(c_1438,plain,
( ( sdtasdt0(xx,smndt0(sz10)) != smndt0(xx) )
| ~ aElement0(xx)
| ~ aElement0(sz10) ),
inference(superposition,[status(thm),theory(equality)],[c_1377,c_40]) ).
tff(c_1473,plain,
sdtasdt0(xx,smndt0(sz10)) != smndt0(xx),
inference(demodulation,[status(thm),theory(equality)],[c_6,c_38,c_1438]) ).
tff(c_4,plain,
aElement0(sz00),
inference(cnfTransformation,[status(thm)],[f_30]) ).
tff(c_71,plain,
! [W0_25] :
( ( sdtpldt0(sz00,W0_25) = W0_25 )
| ~ aElement0(W0_25) ),
inference(cnfTransformation,[status(thm)],[f_67]) ).
tff(c_85,plain,
sdtpldt0(sz00,sz00) = sz00,
inference(resolution,[status(thm)],[c_4,c_71]) ).
tff(c_122,plain,
! [W0_27] :
( ( sdtpldt0(W0_27,sz00) = W0_27 )
| ~ aElement0(W0_27) ),
inference(cnfTransformation,[status(thm)],[f_67]) ).
tff(c_139,plain,
sdtpldt0(xx,sz00) = xx,
inference(resolution,[status(thm)],[c_38,c_122]) ).
tff(c_22,plain,
! [W0_13] :
( ( sdtpldt0(smndt0(W0_13),W0_13) = sz00 )
| ~ aElement0(W0_13) ),
inference(cnfTransformation,[status(thm)],[f_73]) ).
tff(c_514,plain,
! [W0_44,W1_45,W2_46] :
( ( sdtpldt0(sdtpldt0(W0_44,W1_45),W2_46) = sdtpldt0(W0_44,sdtpldt0(W1_45,W2_46)) )
| ~ aElement0(W2_46)
| ~ aElement0(W1_45)
| ~ aElement0(W0_44) ),
inference(cnfTransformation,[status(thm)],[f_61]) ).
tff(c_12579,plain,
! [W0_128,W2_129] :
( ( sdtpldt0(smndt0(W0_128),sdtpldt0(W0_128,W2_129)) = sdtpldt0(sz00,W2_129) )
| ~ aElement0(W2_129)
| ~ aElement0(W0_128)
| ~ aElement0(smndt0(W0_128))
| ~ aElement0(W0_128) ),
inference(superposition,[status(thm),theory(equality)],[c_22,c_514]) ).
tff(c_12796,plain,
( ( sdtpldt0(smndt0(xx),xx) = sdtpldt0(sz00,sz00) )
| ~ aElement0(sz00)
| ~ aElement0(xx)
| ~ aElement0(smndt0(xx))
| ~ aElement0(xx) ),
inference(superposition,[status(thm),theory(equality)],[c_139,c_12579]) ).
tff(c_12904,plain,
( ( sdtpldt0(smndt0(xx),xx) = sz00 )
| ~ aElement0(smndt0(xx)) ),
inference(demodulation,[status(thm),theory(equality)],[c_38,c_38,c_4,c_85,c_12796]) ).
tff(c_12913,plain,
~ aElement0(smndt0(xx)),
inference(splitLeft,[status(thm)],[c_12904]) ).
tff(c_12916,plain,
~ aElement0(xx),
inference(resolution,[status(thm)],[c_8,c_12913]) ).
tff(c_12920,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_38,c_12916]) ).
tff(c_12922,plain,
aElement0(smndt0(xx)),
inference(splitRight,[status(thm)],[c_12904]) ).
tff(c_24,plain,
! [W0_13] :
( ( sdtpldt0(W0_13,smndt0(W0_13)) = sz00 )
| ~ aElement0(W0_13) ),
inference(cnfTransformation,[status(thm)],[f_73]) ).
tff(c_86,plain,
sdtpldt0(sz00,sz10) = sz10,
inference(resolution,[status(thm)],[c_6,c_71]) ).
tff(c_561,plain,
! [W2_46] :
( ( sdtpldt0(sz00,sdtpldt0(sz10,W2_46)) = sdtpldt0(sz10,W2_46) )
| ~ aElement0(W2_46)
| ~ aElement0(sz10)
| ~ aElement0(sz00) ),
inference(superposition,[status(thm),theory(equality)],[c_86,c_514]) ).
tff(c_2111,plain,
! [W2_73] :
( ( sdtpldt0(sz00,sdtpldt0(sz10,W2_73)) = sdtpldt0(sz10,W2_73) )
| ~ aElement0(W2_73) ),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_6,c_561]) ).
tff(c_2142,plain,
( ( sdtpldt0(sz10,smndt0(sz10)) = sdtpldt0(sz00,sz00) )
| ~ aElement0(smndt0(sz10))
| ~ aElement0(sz10) ),
inference(superposition,[status(thm),theory(equality)],[c_24,c_2111]) ).
tff(c_2161,plain,
( ( sdtpldt0(sz10,smndt0(sz10)) = sz00 )
| ~ aElement0(smndt0(sz10)) ),
inference(demodulation,[status(thm),theory(equality)],[c_6,c_85,c_2142]) ).
tff(c_2164,plain,
~ aElement0(smndt0(sz10)),
inference(splitLeft,[status(thm)],[c_2161]) ).
tff(c_2229,plain,
~ aElement0(sz10),
inference(resolution,[status(thm)],[c_8,c_2164]) ).
tff(c_2233,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_6,c_2229]) ).
tff(c_2235,plain,
aElement0(smndt0(sz10)),
inference(splitRight,[status(thm)],[c_2161]) ).
tff(c_330,plain,
! [W0_36] :
( ( sdtasdt0(xx,W0_36) = sdtasdt0(W0_36,xx) )
| ~ aElement0(W0_36) ),
inference(resolution,[status(thm)],[c_38,c_312]) ).
tff(c_2276,plain,
sdtasdt0(smndt0(sz10),xx) = sdtasdt0(xx,smndt0(sz10)),
inference(resolution,[status(thm)],[c_2235,c_330]) ).
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_3169,plain,
( aElement0(sdtasdt0(xx,smndt0(sz10)))
| ~ aElement0(xx)
| ~ aElement0(smndt0(sz10)) ),
inference(superposition,[status(thm),theory(equality)],[c_2276,c_12]) ).
tff(c_3199,plain,
aElement0(sdtasdt0(xx,smndt0(sz10))),
inference(demodulation,[status(thm),theory(equality)],[c_2235,c_38,c_3169]) ).
tff(c_170,plain,
! [W0_30,W1_31] :
( aElement0(sdtasdt0(W0_30,W1_31))
| ~ aElement0(W1_31)
| ~ aElement0(W0_30) ),
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_6731,plain,
! [W0_110,W1_111] :
( ( sdtpldt0(sz00,sdtasdt0(W0_110,W1_111)) = sdtasdt0(W0_110,W1_111) )
| ~ aElement0(W1_111)
| ~ aElement0(W0_110) ),
inference(resolution,[status(thm)],[c_170,c_18]) ).
tff(c_6806,plain,
( ( sdtpldt0(sz00,sdtasdt0(xx,smndt0(sz10))) = sdtasdt0(smndt0(sz10),xx) )
| ~ aElement0(xx)
| ~ aElement0(smndt0(sz10)) ),
inference(superposition,[status(thm),theory(equality)],[c_2276,c_6731]) ).
tff(c_6932,plain,
sdtpldt0(sz00,sdtasdt0(xx,smndt0(sz10))) = sdtasdt0(xx,smndt0(sz10)),
inference(demodulation,[status(thm),theory(equality)],[c_2235,c_38,c_2276,c_6806]) ).
tff(c_20,plain,
! [W0_12] :
( ( sdtpldt0(W0_12,sz00) = W0_12 )
| ~ aElement0(W0_12) ),
inference(cnfTransformation,[status(thm)],[f_67]) ).
tff(c_12966,plain,
sdtpldt0(smndt0(xx),sz00) = smndt0(xx),
inference(resolution,[status(thm)],[c_12922,c_20]) ).
tff(c_332,plain,
! [W0_37] :
( ( sdtasdt0(xx,W0_37) = sdtasdt0(W0_37,xx) )
| ~ aElement0(W0_37) ),
inference(resolution,[status(thm)],[c_38,c_312]) ).
tff(c_354,plain,
sdtasdt0(xx,sz00) = sdtasdt0(sz00,xx),
inference(resolution,[status(thm)],[c_4,c_332]) ).
tff(c_362,plain,
( aElement0(sdtasdt0(sz00,xx))
| ~ aElement0(sz00)
| ~ aElement0(xx) ),
inference(superposition,[status(thm),theory(equality)],[c_354,c_12]) ).
tff(c_366,plain,
aElement0(sdtasdt0(sz00,xx)),
inference(demodulation,[status(thm),theory(equality)],[c_38,c_4,c_362]) ).
tff(c_411,plain,
sdtpldt0(sz00,sdtasdt0(sz00,xx)) = sdtasdt0(sz00,xx),
inference(resolution,[status(thm)],[c_366,c_18]) ).
tff(c_12921,plain,
sdtpldt0(smndt0(xx),xx) = sz00,
inference(splitRight,[status(thm)],[c_12904]) ).
tff(c_100,plain,
! [W0_26] :
( ( sdtasdt0(sz10,W0_26) = W0_26 )
| ~ aElement0(W0_26) ),
inference(cnfTransformation,[status(thm)],[f_93]) ).
tff(c_117,plain,
sdtasdt0(sz10,xx) = xx,
inference(resolution,[status(thm)],[c_38,c_100]) ).
tff(c_864,plain,
! [W1_54,W0_55,W2_56] :
( ( sdtpldt0(sdtasdt0(W1_54,W0_55),sdtasdt0(W2_56,W0_55)) = sdtasdt0(sdtpldt0(W1_54,W2_56),W0_55) )
| ~ aElement0(W2_56)
| ~ aElement0(W1_54)
| ~ aElement0(W0_55) ),
inference(cnfTransformation,[status(thm)],[f_103]) ).
tff(c_912,plain,
! [W1_54] :
( ( sdtpldt0(sdtasdt0(W1_54,xx),xx) = sdtasdt0(sdtpldt0(W1_54,sz10),xx) )
| ~ aElement0(sz10)
| ~ aElement0(W1_54)
| ~ aElement0(xx) ),
inference(superposition,[status(thm),theory(equality)],[c_117,c_864]) ).
tff(c_38442,plain,
! [W1_227] :
( ( sdtpldt0(sdtasdt0(W1_227,xx),xx) = sdtasdt0(sdtpldt0(W1_227,sz10),xx) )
| ~ aElement0(W1_227) ),
inference(demodulation,[status(thm),theory(equality)],[c_38,c_6,c_912]) ).
tff(c_368,plain,
! [W1_38,W0_39] :
( ( sdtpldt0(W1_38,W0_39) = sdtpldt0(W0_39,W1_38) )
| ~ aElement0(W1_38)
| ~ aElement0(W0_39) ),
inference(cnfTransformation,[status(thm)],[f_53]) ).
tff(c_613,plain,
! [W0_48] :
( ( sdtpldt0(xx,W0_48) = sdtpldt0(W0_48,xx) )
| ~ aElement0(W0_48) ),
inference(resolution,[status(thm)],[c_38,c_368]) ).
tff(c_635,plain,
sdtpldt0(sdtasdt0(sz00,xx),xx) = sdtpldt0(xx,sdtasdt0(sz00,xx)),
inference(resolution,[status(thm)],[c_366,c_613]) ).
tff(c_38493,plain,
( ( sdtpldt0(xx,sdtasdt0(sz00,xx)) = sdtasdt0(sdtpldt0(sz00,sz10),xx) )
| ~ aElement0(sz00) ),
inference(superposition,[status(thm),theory(equality)],[c_38442,c_635]) ).
tff(c_38603,plain,
sdtpldt0(xx,sdtasdt0(sz00,xx)) = xx,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_117,c_86,c_38493]) ).
tff(c_549,plain,
! [W0_13,W2_46] :
( ( sdtpldt0(smndt0(W0_13),sdtpldt0(W0_13,W2_46)) = sdtpldt0(sz00,W2_46) )
| ~ aElement0(W2_46)
| ~ aElement0(W0_13)
| ~ aElement0(smndt0(W0_13))
| ~ aElement0(W0_13) ),
inference(superposition,[status(thm),theory(equality)],[c_22,c_514]) ).
tff(c_38680,plain,
( ( sdtpldt0(smndt0(xx),xx) = sdtpldt0(sz00,sdtasdt0(sz00,xx)) )
| ~ aElement0(sdtasdt0(sz00,xx))
| ~ aElement0(xx)
| ~ aElement0(smndt0(xx))
| ~ aElement0(xx) ),
inference(superposition,[status(thm),theory(equality)],[c_38603,c_549]) ).
tff(c_38735,plain,
sdtasdt0(sz00,xx) = sz00,
inference(demodulation,[status(thm),theory(equality)],[c_38,c_12922,c_38,c_366,c_411,c_12921,c_38680]) ).
tff(c_2234,plain,
sdtpldt0(sz10,smndt0(sz10)) = sz00,
inference(splitRight,[status(thm)],[c_2161]) ).
tff(c_385,plain,
! [W0_39] :
( ( sdtpldt0(sz10,W0_39) = sdtpldt0(W0_39,sz10) )
| ~ aElement0(W0_39) ),
inference(resolution,[status(thm)],[c_6,c_368]) ).
tff(c_2270,plain,
sdtpldt0(smndt0(sz10),sz10) = sdtpldt0(sz10,smndt0(sz10)),
inference(resolution,[status(thm)],[c_2235,c_385]) ).
tff(c_2805,plain,
sdtpldt0(smndt0(sz10),sz10) = sz00,
inference(demodulation,[status(thm),theory(equality)],[c_2234,c_2270]) ).
tff(c_26,plain,
! [W1_15,W0_14] :
( ( sdtasdt0(W1_15,W0_14) = sdtasdt0(W0_14,W1_15) )
| ~ aElement0(W1_15)
| ~ aElement0(W0_14) ),
inference(cnfTransformation,[status(thm)],[f_79]) ).
tff(c_2277,plain,
! [W0_14] :
( ( sdtasdt0(smndt0(sz10),W0_14) = sdtasdt0(W0_14,smndt0(sz10)) )
| ~ aElement0(W0_14) ),
inference(resolution,[status(thm)],[c_2235,c_26]) ).
tff(c_38555,plain,
( ( sdtpldt0(sdtasdt0(xx,smndt0(sz10)),xx) = sdtasdt0(sdtpldt0(smndt0(sz10),sz10),xx) )
| ~ aElement0(smndt0(sz10))
| ~ aElement0(xx) ),
inference(superposition,[status(thm),theory(equality)],[c_2277,c_38442]) ).
tff(c_38638,plain,
sdtpldt0(sdtasdt0(xx,smndt0(sz10)),xx) = sdtasdt0(sz00,xx),
inference(demodulation,[status(thm),theory(equality)],[c_38,c_2235,c_2805,c_38555]) ).
tff(c_42266,plain,
sdtpldt0(sdtasdt0(xx,smndt0(sz10)),xx) = sz00,
inference(demodulation,[status(thm),theory(equality)],[c_38735,c_38638]) ).
tff(c_382,plain,
! [W0_5,W1_6,W0_39] :
( ( sdtpldt0(sdtasdt0(W0_5,W1_6),W0_39) = sdtpldt0(W0_39,sdtasdt0(W0_5,W1_6)) )
| ~ aElement0(W0_39)
| ~ aElement0(W1_6)
| ~ aElement0(W0_5) ),
inference(resolution,[status(thm)],[c_12,c_368]) ).
tff(c_42309,plain,
( ( sdtpldt0(xx,sdtasdt0(xx,smndt0(sz10))) = sz00 )
| ~ aElement0(xx)
| ~ aElement0(smndt0(sz10))
| ~ aElement0(xx) ),
inference(superposition,[status(thm),theory(equality)],[c_42266,c_382]) ).
tff(c_42360,plain,
sdtpldt0(xx,sdtasdt0(xx,smndt0(sz10))) = sz00,
inference(demodulation,[status(thm),theory(equality)],[c_38,c_2235,c_38,c_42309]) ).
tff(c_42406,plain,
( ( sdtpldt0(sz00,sdtasdt0(xx,smndt0(sz10))) = sdtpldt0(smndt0(xx),sz00) )
| ~ aElement0(sdtasdt0(xx,smndt0(sz10)))
| ~ aElement0(xx)
| ~ aElement0(smndt0(xx))
| ~ aElement0(xx) ),
inference(superposition,[status(thm),theory(equality)],[c_42360,c_549]) ).
tff(c_42461,plain,
sdtasdt0(xx,smndt0(sz10)) = smndt0(xx),
inference(demodulation,[status(thm),theory(equality)],[c_38,c_12922,c_38,c_3199,c_6932,c_12966,c_42406]) ).
tff(c_42463,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1473,c_42461]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : RNG082+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
% 0.19/0.36 % Computer : n007.cluster.edu
% 0.19/0.36 % Model : x86_64 x86_64
% 0.19/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.36 % Memory : 8042.1875MB
% 0.19/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.19/0.36 % CPULimit : 300
% 0.19/0.36 % WCLimit : 300
% 0.19/0.36 % DateTime : Thu Aug 3 17:42:38 EDT 2023
% 0.19/0.36 % CPUTime :
% 18.82/7.78 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 18.82/7.79
% 18.82/7.79 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 18.91/7.82
% 18.91/7.82 Inference rules
% 18.91/7.82 ----------------------
% 18.91/7.82 #Ref : 0
% 18.91/7.82 #Sup : 9064
% 18.91/7.82 #Fact : 0
% 18.91/7.82 #Define : 0
% 18.91/7.82 #Split : 4
% 18.91/7.82 #Chain : 0
% 18.91/7.82 #Close : 0
% 18.91/7.82
% 18.91/7.82 Ordering : KBO
% 18.91/7.82
% 18.91/7.82 Simplification rules
% 18.91/7.82 ----------------------
% 18.91/7.82 #Subsume : 755
% 18.91/7.82 #Demod : 15910
% 18.91/7.82 #Tautology : 2682
% 18.91/7.82 #SimpNegUnit : 1
% 18.91/7.82 #BackRed : 47
% 18.91/7.82
% 18.91/7.82 #Partial instantiations: 0
% 18.91/7.82 #Strategies tried : 1
% 18.91/7.82
% 18.91/7.82 Timing (in seconds)
% 18.91/7.82 ----------------------
% 18.91/7.83 Preprocessing : 0.48
% 18.91/7.83 Parsing : 0.26
% 18.91/7.83 CNF conversion : 0.03
% 18.91/7.83 Main loop : 6.25
% 18.91/7.83 Inferencing : 1.29
% 18.91/7.83 Reduction : 3.28
% 18.91/7.83 Demodulation : 2.91
% 18.91/7.83 BG Simplification : 0.15
% 18.91/7.83 Subsumption : 1.23
% 18.91/7.83 Abstraction : 0.23
% 18.91/7.83 MUC search : 0.00
% 18.91/7.83 Cooper : 0.00
% 18.91/7.83 Total : 6.79
% 18.91/7.83 Index Insertion : 0.00
% 18.91/7.83 Index Deletion : 0.00
% 18.91/7.83 Index Matching : 0.00
% 18.91/7.83 BG Taut test : 0.00
%------------------------------------------------------------------------------