TSTP Solution File: NUM423+3 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : NUM423+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% Computer : n011.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 : Thu Aug 31 10:22:01 EDT 2023
% Result : Theorem 0.83s 0.90s
% Output : CNFRefutation 0.83s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUM423+3 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.14/0.34 % Computer : n011.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Fri Aug 25 10:04:38 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.20/0.56 start to proof:theBenchmark
% 0.20/0.89 %-------------------------------------------
% 0.20/0.89 % File :CSE---1.6
% 0.20/0.89 % Problem :theBenchmark
% 0.20/0.89 % Transform :cnf
% 0.20/0.89 % Format :tptp:raw
% 0.20/0.89 % Command :java -jar mcs_scs.jar %d %s
% 0.20/0.89
% 0.20/0.89 % Result :Theorem 0.270000s
% 0.20/0.89 % Output :CNFRefutation 0.270000s
% 0.20/0.89 %-------------------------------------------
% 0.83/0.90 %------------------------------------------------------------------------------
% 0.83/0.90 % File : NUM423+3 : TPTP v8.1.2. Released v4.0.0.
% 0.83/0.90 % Domain : Number Theory
% 0.83/0.90 % Problem : Fuerstenberg's infinitude of primes 03, 02 expansion
% 0.83/0.90 % Version : Especial.
% 0.83/0.90 % English :
% 0.83/0.90
% 0.83/0.90 % Refs : [VLP07] Verchinine et al. (2007), System for Automated Deduction
% 0.83/0.90 % : [Pas08] Paskevich (2008), Email to G. Sutcliffe
% 0.83/0.90 % Source : [Pas08]
% 0.83/0.90 % Names : fuerst_03.02 [Pas08]
% 0.83/0.90
% 0.83/0.90 % Status : Theorem
% 0.83/0.90 % Rating : 0.06 v8.1.0, 0.03 v7.1.0, 0.04 v7.0.0, 0.07 v6.4.0, 0.12 v6.3.0, 0.04 v6.1.0, 0.13 v6.0.0, 0.09 v5.5.0, 0.19 v5.4.0, 0.25 v5.3.0, 0.26 v5.2.0, 0.10 v5.1.0, 0.14 v5.0.0, 0.25 v4.1.0, 0.35 v4.0.1, 0.61 v4.0.0
% 0.83/0.90 % Syntax : Number of formulae : 21 ( 2 unt; 2 def)
% 0.83/0.90 % Number of atoms : 70 ( 24 equ)
% 0.83/0.90 % Maximal formula atoms : 6 ( 3 avg)
% 0.83/0.90 % Number of connectives : 52 ( 3 ~; 3 |; 26 &)
% 0.83/0.90 % ( 2 <=>; 18 =>; 0 <=; 0 <~>)
% 0.83/0.90 % Maximal formula depth : 9 ( 5 avg)
% 0.83/0.90 % Maximal term depth : 3 ( 1 avg)
% 0.83/0.90 % Number of predicates : 5 ( 3 usr; 1 prp; 0-3 aty)
% 0.83/0.90 % Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% 0.83/0.90 % Number of variables : 33 ( 31 !; 2 ?)
% 0.83/0.90 % SPC : FOF_THM_RFO_SEQ
% 0.83/0.90
% 0.83/0.90 % Comments : Problem generated by the SAD system [VLP07]
% 0.83/0.90 %------------------------------------------------------------------------------
% 0.83/0.90 fof(mIntegers,axiom,
% 0.83/0.90 ! [W0] :
% 0.83/0.90 ( aInteger0(W0)
% 0.83/0.90 => $true ) ).
% 0.83/0.90
% 0.83/0.90 fof(mIntZero,axiom,
% 0.83/0.90 aInteger0(sz00) ).
% 0.83/0.90
% 0.83/0.90 fof(mIntOne,axiom,
% 0.83/0.90 aInteger0(sz10) ).
% 0.83/0.90
% 0.83/0.90 fof(mIntNeg,axiom,
% 0.83/0.90 ! [W0] :
% 0.83/0.90 ( aInteger0(W0)
% 0.83/0.90 => aInteger0(smndt0(W0)) ) ).
% 0.83/0.90
% 0.83/0.90 fof(mIntPlus,axiom,
% 0.83/0.90 ! [W0,W1] :
% 0.83/0.90 ( ( aInteger0(W0)
% 0.83/0.90 & aInteger0(W1) )
% 0.83/0.90 => aInteger0(sdtpldt0(W0,W1)) ) ).
% 0.83/0.90
% 0.83/0.90 fof(mIntMult,axiom,
% 0.83/0.90 ! [W0,W1] :
% 0.83/0.90 ( ( aInteger0(W0)
% 0.83/0.90 & aInteger0(W1) )
% 0.83/0.90 => aInteger0(sdtasdt0(W0,W1)) ) ).
% 0.83/0.90
% 0.83/0.90 fof(mAddAsso,axiom,
% 0.83/0.90 ! [W0,W1,W2] :
% 0.83/0.90 ( ( aInteger0(W0)
% 0.83/0.90 & aInteger0(W1)
% 0.83/0.90 & aInteger0(W2) )
% 0.83/0.90 => sdtpldt0(W0,sdtpldt0(W1,W2)) = sdtpldt0(sdtpldt0(W0,W1),W2) ) ).
% 0.83/0.90
% 0.83/0.90 fof(mAddComm,axiom,
% 0.83/0.90 ! [W0,W1] :
% 0.83/0.90 ( ( aInteger0(W0)
% 0.83/0.90 & aInteger0(W1) )
% 0.83/0.90 => sdtpldt0(W0,W1) = sdtpldt0(W1,W0) ) ).
% 0.83/0.90
% 0.83/0.90 fof(mAddZero,axiom,
% 0.83/0.90 ! [W0] :
% 0.83/0.90 ( aInteger0(W0)
% 0.83/0.90 => ( sdtpldt0(W0,sz00) = W0
% 0.83/0.90 & W0 = sdtpldt0(sz00,W0) ) ) ).
% 0.83/0.90
% 0.83/0.90 fof(mAddNeg,axiom,
% 0.83/0.90 ! [W0] :
% 0.83/0.90 ( aInteger0(W0)
% 0.83/0.90 => ( sdtpldt0(W0,smndt0(W0)) = sz00
% 0.83/0.90 & sz00 = sdtpldt0(smndt0(W0),W0) ) ) ).
% 0.83/0.90
% 0.83/0.90 fof(mMulAsso,axiom,
% 0.83/0.90 ! [W0,W1,W2] :
% 0.83/0.90 ( ( aInteger0(W0)
% 0.83/0.90 & aInteger0(W1)
% 0.83/0.90 & aInteger0(W2) )
% 0.83/0.90 => sdtasdt0(W0,sdtasdt0(W1,W2)) = sdtasdt0(sdtasdt0(W0,W1),W2) ) ).
% 0.83/0.90
% 0.83/0.90 fof(mMulComm,axiom,
% 0.83/0.90 ! [W0,W1] :
% 0.83/0.90 ( ( aInteger0(W0)
% 0.83/0.90 & aInteger0(W1) )
% 0.83/0.90 => sdtasdt0(W0,W1) = sdtasdt0(W1,W0) ) ).
% 0.83/0.90
% 0.83/0.90 fof(mMulOne,axiom,
% 0.83/0.90 ! [W0] :
% 0.83/0.90 ( aInteger0(W0)
% 0.83/0.90 => ( sdtasdt0(W0,sz10) = W0
% 0.83/0.90 & W0 = sdtasdt0(sz10,W0) ) ) ).
% 0.83/0.90
% 0.83/0.90 fof(mDistrib,axiom,
% 0.83/0.90 ! [W0,W1,W2] :
% 0.83/0.90 ( ( aInteger0(W0)
% 0.83/0.90 & aInteger0(W1)
% 0.83/0.90 & aInteger0(W2) )
% 0.83/0.90 => ( sdtasdt0(W0,sdtpldt0(W1,W2)) = sdtpldt0(sdtasdt0(W0,W1),sdtasdt0(W0,W2))
% 0.83/0.90 & sdtasdt0(sdtpldt0(W0,W1),W2) = sdtpldt0(sdtasdt0(W0,W2),sdtasdt0(W1,W2)) ) ) ).
% 0.83/0.90
% 0.83/0.90 fof(mMulZero,axiom,
% 0.83/0.90 ! [W0] :
% 0.83/0.90 ( aInteger0(W0)
% 0.83/0.90 => ( sdtasdt0(W0,sz00) = sz00
% 0.83/0.90 & sz00 = sdtasdt0(sz00,W0) ) ) ).
% 0.83/0.90
% 0.83/0.90 fof(mMulMinOne,axiom,
% 0.83/0.90 ! [W0] :
% 0.83/0.90 ( aInteger0(W0)
% 0.83/0.90 => ( sdtasdt0(smndt0(sz10),W0) = smndt0(W0)
% 0.83/0.90 & smndt0(W0) = sdtasdt0(W0,smndt0(sz10)) ) ) ).
% 0.83/0.90
% 0.83/0.90 fof(mZeroDiv,axiom,
% 0.83/0.90 ! [W0,W1] :
% 0.83/0.90 ( ( aInteger0(W0)
% 0.83/0.90 & aInteger0(W1) )
% 0.83/0.90 => ( sdtasdt0(W0,W1) = sz00
% 0.83/0.90 => ( W0 = sz00
% 0.83/0.90 | W1 = sz00 ) ) ) ).
% 0.83/0.90
% 0.83/0.90 fof(mDivisor,definition,
% 0.83/0.90 ! [W0] :
% 0.83/0.90 ( aInteger0(W0)
% 0.83/0.90 => ! [W1] :
% 0.83/0.90 ( aDivisorOf0(W1,W0)
% 0.83/0.90 <=> ( aInteger0(W1)
% 0.83/0.90 & W1 != sz00
% 0.83/0.90 & ? [W2] :
% 0.83/0.90 ( aInteger0(W2)
% 0.83/0.90 & sdtasdt0(W1,W2) = W0 ) ) ) ) ).
% 0.83/0.90
% 0.83/0.90 fof(mEquMod,definition,
% 0.83/0.90 ! [W0,W1,W2] :
% 0.83/0.90 ( ( aInteger0(W0)
% 0.83/0.90 & aInteger0(W1)
% 0.83/0.90 & aInteger0(W2)
% 0.83/0.90 & W2 != sz00 )
% 0.83/0.90 => ( sdteqdtlpzmzozddtrp0(W0,W1,W2)
% 0.83/0.90 <=> aDivisorOf0(W2,sdtpldt0(W0,smndt0(W1))) ) ) ).
% 0.83/0.90
% 0.83/0.90 fof(m__671,hypothesis,
% 0.83/0.90 ( aInteger0(xa)
% 0.83/0.90 & aInteger0(xq)
% 0.83/0.90 & xq != sz00 ) ).
% 0.83/0.90
% 0.83/0.90 fof(m__,conjecture,
% 0.83/0.90 ( ? [W0] :
% 0.83/0.90 ( aInteger0(W0)
% 0.83/0.90 & sdtasdt0(xq,W0) = sdtpldt0(xa,smndt0(xa)) )
% 0.83/0.90 | aDivisorOf0(xq,sdtpldt0(xa,smndt0(xa)))
% 0.83/0.90 | sdteqdtlpzmzozddtrp0(xa,xa,xq) ) ).
% 0.83/0.90
% 0.83/0.90 %------------------------------------------------------------------------------
% 0.83/0.90 %-------------------------------------------
% 0.83/0.90 % Proof found
% 0.83/0.90 % SZS status Theorem for theBenchmark
% 0.83/0.90 % SZS output start Proof
% 0.83/0.90 %ClaNum:51(EqnAxiom:16)
% 0.83/0.90 %VarNum:145(SingletonVarNum:51)
% 0.83/0.90 %MaxLitNum:6
% 0.83/0.90 %MaxfuncDepth:2
% 0.83/0.90 %SharedTerms:14
% 0.83/0.90 %goalClause: 22 23 42
% 0.83/0.90 %singleGoalClaCount:2
% 0.83/0.90 [17]P1(a1)
% 0.83/0.90 [18]P1(a6)
% 0.83/0.90 [19]P1(a7)
% 0.83/0.90 [20]P1(a8)
% 0.83/0.90 [21]~E(a1,a8)
% 0.83/0.90 [23]~P3(a7,a7,a8)
% 0.83/0.90 [22]~P2(a8,f3(a7,f2(a7)))
% 0.83/0.90 [24]~P1(x241)+P1(f2(x241))
% 0.83/0.90 [25]~P1(x251)+E(f4(a1,x251),a1)
% 0.83/0.90 [26]~P1(x261)+E(f4(x261,a1),a1)
% 0.83/0.90 [27]~P1(x271)+E(f3(a1,x271),x271)
% 0.83/0.90 [28]~P1(x281)+E(f4(a6,x281),x281)
% 0.83/0.90 [29]~P1(x291)+E(f3(x291,a1),x291)
% 0.83/0.90 [30]~P1(x301)+E(f4(x301,a6),x301)
% 0.83/0.90 [31]~P1(x311)+E(f3(f2(x311),x311),a1)
% 0.83/0.90 [32]~P1(x321)+E(f3(x321,f2(x321)),a1)
% 0.83/0.90 [33]~P1(x331)+E(f4(x331,f2(a6)),f2(x331))
% 0.83/0.90 [34]~P1(x341)+E(f4(f2(a6),x341),f2(x341))
% 0.83/0.90 [42]~P1(x421)+~E(f4(a8,x421),f3(a7,f2(a7)))
% 0.83/0.90 [35]~P2(x351,x352)+~P1(x352)+~E(x351,a1)
% 0.83/0.90 [36]~P2(x361,x362)+P1(x361)+~P1(x362)
% 0.83/0.90 [38]~P1(x382)+~P1(x381)+E(f3(x381,x382),f3(x382,x381))
% 0.83/0.90 [39]~P1(x392)+~P1(x391)+E(f4(x391,x392),f4(x392,x391))
% 0.83/0.90 [40]~P1(x402)+~P1(x401)+P1(f3(x401,x402))
% 0.83/0.90 [41]~P1(x412)+~P1(x411)+P1(f4(x411,x412))
% 0.83/0.90 [43]~P1(x431)+~P2(x432,x431)+P1(f5(x431,x432))
% 0.83/0.90 [45]~P1(x452)+~P2(x451,x452)+E(f4(x451,f5(x452,x451)),x452)
% 0.83/0.91 [46]~P1(x463)+~P1(x462)+~P1(x461)+E(f3(f3(x461,x462),x463),f3(x461,f3(x462,x463)))
% 0.83/0.91 [47]~P1(x473)+~P1(x472)+~P1(x471)+E(f4(f4(x471,x472),x473),f4(x471,f4(x472,x473)))
% 0.83/0.91 [48]~P1(x483)+~P1(x482)+~P1(x481)+E(f3(f4(x481,x482),f4(x481,x483)),f4(x481,f3(x482,x483)))
% 0.83/0.91 [49]~P1(x492)+~P1(x493)+~P1(x491)+E(f3(f4(x491,x492),f4(x493,x492)),f4(f3(x491,x493),x492))
% 0.83/0.91 [37]~P1(x371)+~P1(x372)+E(x371,a1)+E(x372,a1)+~E(f4(x372,x371),a1)
% 0.83/0.91 [44]~P1(x442)+~P1(x443)+~P1(x441)+P2(x441,x442)+E(x441,a1)+~E(f4(x441,x443),x442)
% 0.83/0.91 [50]~P1(x503)+~P1(x502)+~P1(x501)+P3(x502,x503,x501)+E(x501,a1)+~P2(x501,f3(x502,f2(x503)))
% 0.83/0.91 [51]~P1(x511)+~P1(x513)+~P1(x512)+~P3(x512,x513,x511)+E(x511,a1)+P2(x511,f3(x512,f2(x513)))
% 0.83/0.91 %EqnAxiom
% 0.83/0.91 [1]E(x11,x11)
% 0.83/0.91 [2]E(x22,x21)+~E(x21,x22)
% 0.83/0.91 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.83/0.91 [4]~E(x41,x42)+E(f2(x41),f2(x42))
% 0.83/0.91 [5]~E(x51,x52)+E(f3(x51,x53),f3(x52,x53))
% 0.83/0.91 [6]~E(x61,x62)+E(f3(x63,x61),f3(x63,x62))
% 0.83/0.91 [7]~E(x71,x72)+E(f4(x71,x73),f4(x72,x73))
% 0.83/0.91 [8]~E(x81,x82)+E(f4(x83,x81),f4(x83,x82))
% 0.83/0.91 [9]~E(x91,x92)+E(f5(x91,x93),f5(x92,x93))
% 0.83/0.91 [10]~E(x101,x102)+E(f5(x103,x101),f5(x103,x102))
% 0.83/0.91 [11]~P1(x111)+P1(x112)+~E(x111,x112)
% 0.83/0.91 [12]P3(x122,x123,x124)+~E(x121,x122)+~P3(x121,x123,x124)
% 0.83/0.91 [13]P3(x133,x132,x134)+~E(x131,x132)+~P3(x133,x131,x134)
% 0.83/0.91 [14]P3(x143,x144,x142)+~E(x141,x142)+~P3(x143,x144,x141)
% 0.83/0.91 [15]P2(x152,x153)+~E(x151,x152)+~P2(x151,x153)
% 0.83/0.91 [16]P2(x163,x162)+~E(x161,x162)+~P2(x163,x161)
% 0.83/0.91
% 0.83/0.91 %-------------------------------------------
% 0.83/0.91 cnf(52,plain,
% 0.83/0.91 (~E(a8,a1)),
% 0.83/0.91 inference(scs_inference,[],[21,2])).
% 0.83/0.91 cnf(53,plain,
% 0.83/0.91 (~E(f4(a8,a1),f3(a7,f2(a7)))),
% 0.83/0.91 inference(scs_inference,[],[17,21,2,42])).
% 0.83/0.91 cnf(55,plain,
% 0.83/0.91 (E(f4(a1,a6),a1)),
% 0.83/0.91 inference(scs_inference,[],[17,21,2,42,30])).
% 0.83/0.91 cnf(57,plain,
% 0.83/0.91 (E(f3(a1,a1),a1)),
% 0.83/0.91 inference(scs_inference,[],[17,21,2,42,30,29])).
% 0.83/0.91 cnf(59,plain,
% 0.83/0.91 (E(f4(a6,a1),a1)),
% 0.83/0.91 inference(scs_inference,[],[17,21,2,42,30,29,28])).
% 0.83/0.91 cnf(61,plain,
% 0.83/0.91 (E(f3(a1,a6),a6)),
% 0.83/0.91 inference(scs_inference,[],[17,18,21,2,42,30,29,28,27])).
% 0.83/0.91 cnf(63,plain,
% 0.83/0.91 (E(f4(a1,a1),a1)),
% 0.83/0.91 inference(scs_inference,[],[17,18,21,2,42,30,29,28,27,26])).
% 0.83/0.91 cnf(69,plain,
% 0.83/0.91 (E(f5(x691,f4(a1,a6)),f5(x691,a1))),
% 0.83/0.91 inference(scs_inference,[],[17,18,19,21,2,42,30,29,28,27,26,25,24,10])).
% 0.83/0.91 cnf(70,plain,
% 0.83/0.91 (E(f5(f4(a1,a6),x701),f5(a1,x701))),
% 0.83/0.91 inference(scs_inference,[],[17,18,19,21,2,42,30,29,28,27,26,25,24,10,9])).
% 0.83/0.91 cnf(71,plain,
% 0.83/0.91 (E(f4(x711,f4(a1,a6)),f4(x711,a1))),
% 0.83/0.91 inference(scs_inference,[],[17,18,19,21,2,42,30,29,28,27,26,25,24,10,9,8])).
% 0.83/0.91 cnf(72,plain,
% 0.83/0.91 (E(f4(f4(a1,a6),x721),f4(a1,x721))),
% 0.83/0.91 inference(scs_inference,[],[17,18,19,21,2,42,30,29,28,27,26,25,24,10,9,8,7])).
% 0.83/0.91 cnf(73,plain,
% 0.83/0.91 (E(f3(x731,f4(a1,a6)),f3(x731,a1))),
% 0.83/0.91 inference(scs_inference,[],[17,18,19,21,2,42,30,29,28,27,26,25,24,10,9,8,7,6])).
% 0.83/0.91 cnf(74,plain,
% 0.83/0.91 (E(f3(f4(a1,a6),x741),f3(a1,x741))),
% 0.83/0.91 inference(scs_inference,[],[17,18,19,21,2,42,30,29,28,27,26,25,24,10,9,8,7,6,5])).
% 0.83/0.91 cnf(80,plain,
% 0.83/0.91 (E(f3(a1,f2(a1)),a1)),
% 0.83/0.91 inference(scs_inference,[],[17,18,19,21,2,42,30,29,28,27,26,25,24,10,9,8,7,6,5,4,34,33,32])).
% 0.83/0.91 cnf(86,plain,
% 0.83/0.91 (~P2(f4(a1,a6),a1)),
% 0.83/0.91 inference(scs_inference,[],[22,17,18,19,21,2,42,30,29,28,27,26,25,24,10,9,8,7,6,5,4,34,33,32,31,16,3,35])).
% 0.83/0.91 cnf(98,plain,
% 0.83/0.91 (E(f3(f4(a1,a1),f4(a1,a1)),f4(a1,f3(a1,a1)))),
% 0.83/0.91 inference(scs_inference,[],[22,17,18,19,21,2,42,30,29,28,27,26,25,24,10,9,8,7,6,5,4,34,33,32,31,16,3,35,41,40,47,46,49,48])).
% 0.83/0.91 cnf(100,plain,
% 0.83/0.91 (~E(f4(a8,a8),a1)),
% 0.83/0.91 inference(scs_inference,[],[22,17,18,19,20,21,2,42,30,29,28,27,26,25,24,10,9,8,7,6,5,4,34,33,32,31,16,3,35,41,40,47,46,49,48,37])).
% 0.83/0.91 cnf(113,plain,
% 0.83/0.91 (~P2(f4(a1,a6),f4(a1,a6))),
% 0.83/0.91 inference(scs_inference,[],[18,55,86,41,47,48,16])).
% 0.83/0.91 cnf(118,plain,
% 0.83/0.91 (E(f3(f4(a6,a6),f4(a6,a6)),f4(f3(a6,a6),a6))),
% 0.83/0.91 inference(scs_inference,[],[18,55,86,41,47,48,16,40,46,49])).
% 0.83/0.91 cnf(123,plain,
% 0.83/0.91 (E(a1,f4(a1,a6))),
% 0.83/0.91 inference(scs_inference,[],[18,55,74,73,86,41,47,48,16,40,46,49,3,2])).
% 0.83/0.91 cnf(153,plain,
% 0.83/0.91 (E(f3(f4(a7,a7),f4(a7,a7)),f4(f3(a7,a7),a7))),
% 0.83/0.91 inference(scs_inference,[],[19,47,48,46,49])).
% 0.83/0.91 cnf(155,plain,
% 0.83/0.91 (E(f4(f4(a1,a6),f4(a1,a6)),f4(a1,a1))),
% 0.83/0.91 inference(scs_inference,[],[19,71,72,47,48,46,49,3])).
% 0.83/0.91 cnf(168,plain,
% 0.83/0.91 (~P3(a7,a7,x1681)+~P2(f3(f4(a1,a1),f4(a1,a1)),a7)+~E(x1681,a8)+~E(f4(a8,a7),f3(a7,f2(a7)))),
% 0.83/0.91 inference(scs_inference,[],[23,52,19,20,98,71,53,72,22,47,48,46,49,3,2,36,11,44,13,12,40,14])).
% 0.83/0.91 cnf(176,plain,
% 0.83/0.91 (E(f4(a1,a1),f4(f4(a1,a6),f4(a1,a6)))),
% 0.83/0.91 inference(scs_inference,[],[21,20,155,123,40,3,2])).
% 0.83/0.91 cnf(186,plain,
% 0.83/0.91 (P1(f3(a7,a7))),
% 0.83/0.91 inference(scs_inference,[],[19,40])).
% 0.83/0.91 cnf(188,plain,
% 0.83/0.91 (~P2(a1,f4(a1,a6))),
% 0.83/0.91 inference(scs_inference,[],[19,113,123,40,15])).
% 0.83/0.91 cnf(193,plain,
% 0.83/0.91 (~E(f4(a8,a8),f3(a7,f2(a7)))),
% 0.83/0.91 inference(scs_inference,[],[20,19,113,70,69,100,123,40,15,3,2,42])).
% 0.83/0.91 cnf(197,plain,
% 0.83/0.91 (E(f4(a6,a8),a8)),
% 0.83/0.91 inference(scs_inference,[],[20,19,113,70,69,100,123,40,15,3,2,42,30,28])).
% 0.83/0.91 cnf(203,plain,
% 0.83/0.91 (E(f4(a8,a1),a1)),
% 0.83/0.91 inference(scs_inference,[],[20,19,113,70,69,100,123,40,15,3,2,42,30,28,27,29,26])).
% 0.83/0.91 cnf(207,plain,
% 0.83/0.91 (E(f4(x2071,f3(a1,a1)),f4(x2071,a1))),
% 0.83/0.91 inference(scs_inference,[],[20,19,113,70,69,57,100,123,40,15,3,2,42,30,28,27,29,26,24,8])).
% 0.83/0.91 cnf(208,plain,
% 0.83/0.91 (E(f4(f3(a1,a1),x2081),f4(a1,x2081))),
% 0.83/0.91 inference(scs_inference,[],[20,19,113,70,69,57,100,123,40,15,3,2,42,30,28,27,29,26,24,8,7])).
% 0.83/0.91 cnf(226,plain,
% 0.83/0.91 (P2(a8,a8)),
% 0.83/0.91 inference(scs_inference,[],[52,20,19,18,113,70,69,57,100,123,40,15,3,2,42,30,28,27,29,26,24,8,7,34,33,32,31,25,10,9,6,5,4,168,44])).
% 0.83/0.91 cnf(228,plain,
% 0.83/0.91 (~E(a8,f3(a7,f2(a7)))),
% 0.83/0.91 inference(scs_inference,[],[52,20,19,18,113,70,69,57,100,123,22,40,15,3,2,42,30,28,27,29,26,24,8,7,34,33,32,31,25,10,9,6,5,4,168,44,16])).
% 0.83/0.91 cnf(233,plain,
% 0.83/0.91 (E(f4(a8,f5(a8,a8)),a8)),
% 0.83/0.91 inference(scs_inference,[],[20,226,43,45])).
% 0.83/0.91 cnf(235,plain,
% 0.83/0.91 (~P2(f4(a1,a1),a1)),
% 0.83/0.91 inference(scs_inference,[],[17,20,63,226,43,45,35])).
% 0.83/0.91 cnf(237,plain,
% 0.83/0.91 (P2(a8,a1)),
% 0.83/0.91 inference(scs_inference,[],[17,52,20,63,203,226,43,45,35,44])).
% 0.83/0.91 cnf(239,plain,
% 0.83/0.91 (~P2(a1,f4(f3(a1,a1),a6))),
% 0.83/0.91 inference(scs_inference,[],[17,52,20,63,208,188,203,226,43,45,35,44,16])).
% 0.83/0.91 cnf(244,plain,
% 0.83/0.91 (E(a1,f4(a1,a1))),
% 0.83/0.91 inference(scs_inference,[],[17,52,20,176,63,207,208,188,203,226,43,45,35,44,16,15,3,2])).
% 0.83/0.91 cnf(245,plain,
% 0.83/0.91 (P1(f4(a7,a7))),
% 0.83/0.91 inference(scs_inference,[],[17,52,19,20,176,63,207,208,188,203,226,43,45,35,44,16,15,3,2,41])).
% 0.83/0.91 cnf(257,plain,
% 0.83/0.91 (P1(f4(a8,a8))),
% 0.83/0.91 inference(scs_inference,[],[20,41])).
% 0.83/0.91 cnf(261,plain,
% 0.83/0.91 (~E(a1,f3(a7,f2(a7)))),
% 0.83/0.91 inference(scs_inference,[],[53,20,80,235,237,203,41,16,15,3])).
% 0.83/0.91 cnf(269,plain,
% 0.83/0.91 (~P2(f4(a1,a6),a6)),
% 0.83/0.91 inference(scs_inference,[],[18,53,55,20,193,80,235,237,203,41,16,15,3,2,48,47,46,35])).
% 0.83/0.91 cnf(289,plain,
% 0.83/0.91 (~P2(f4(a1,a6),f4(f3(a1,a1),a6))),
% 0.83/0.91 inference(scs_inference,[],[55,239,233,23,14,15])).
% 0.83/0.91 cnf(290,plain,
% 0.83/0.91 (E(f4(a1,a6),f4(a1,a1))),
% 0.83/0.91 inference(scs_inference,[],[55,244,239,233,23,14,15,3])).
% 0.83/0.91 cnf(298,plain,
% 0.83/0.91 (~P3(x2981,a7,a8)+~E(x2981,a7)),
% 0.83/0.91 inference(scs_inference,[],[18,55,52,19,20,118,244,239,233,23,14,15,3,2,37,45,43,12])).
% 0.83/0.91 cnf(299,plain,
% 0.83/0.91 (~P3(a7,x2991,a8)+~E(x2991,a7)),
% 0.83/0.91 inference(scs_inference,[],[18,55,52,19,20,118,244,239,233,23,14,15,3,2,37,45,43,12,13])).
% 0.83/0.91 cnf(300,plain,
% 0.83/0.91 (P1(f3(f4(a7,a7),f4(a7,a7)))),
% 0.83/0.91 inference(scs_inference,[],[18,55,52,19,20,245,118,244,239,233,23,14,15,3,2,37,45,43,12,13,40])).
% 0.83/0.91 cnf(310,plain,
% 0.83/0.91 (P1(f3(f4(a8,a8),f4(a8,a8)))),
% 0.83/0.91 inference(scs_inference,[],[257,40])).
% 0.83/0.91 cnf(312,plain,
% 0.83/0.91 (~P2(f4(a1,a1),f3(a1,a1))),
% 0.83/0.91 inference(scs_inference,[],[57,257,235,40,16])).
% 0.83/0.91 cnf(321,plain,
% 0.83/0.91 (E(f4(a6,a7),a7)),
% 0.83/0.91 inference(scs_inference,[],[19,57,52,257,289,228,208,235,40,16,15,3,2,42,30,28])).
% 0.83/0.91 cnf(323,plain,
% 0.83/0.91 (E(f3(a1,a7),a7)),
% 0.83/0.91 inference(scs_inference,[],[19,57,52,257,289,228,208,235,40,16,15,3,2,42,30,28,27])).
% 0.83/0.91 cnf(337,plain,
% 0.83/0.91 (E(f3(a7,f2(a7)),a1)),
% 0.83/0.91 inference(scs_inference,[],[19,57,52,290,257,289,228,208,235,40,16,15,3,2,42,30,28,27,8,7,29,26,24,34,33,32])).
% 0.83/0.91 cnf(354,plain,
% 0.83/0.91 (~P3(a7,f4(a6,a7),a8)),
% 0.83/0.91 inference(scs_inference,[],[321,299])).
% 0.83/0.91 cnf(355,plain,
% 0.83/0.91 (~P3(f4(a6,a7),a7,a8)),
% 0.83/0.91 inference(scs_inference,[],[321,299,298])).
% 0.83/0.91 cnf(357,plain,
% 0.83/0.91 (E(a1,f3(a1,a1))),
% 0.83/0.91 inference(scs_inference,[],[21,57,321,244,299,298,3,2])).
% 0.83/0.91 cnf(363,plain,
% 0.83/0.91 (P1(f5(a1,a8))),
% 0.83/0.91 inference(scs_inference,[],[21,57,310,321,244,237,226,17,299,298,3,2,15,36,45,43])).
% 0.83/0.91 cnf(373,plain,
% 0.83/0.91 (~P3(f3(a1,a7),f4(a6,a7),a8)),
% 0.83/0.91 inference(scs_inference,[],[59,186,323,354,35,12])).
% 0.83/0.91 cnf(376,plain,
% 0.83/0.91 (E(f4(a6,a1),f3(a1,a1))),
% 0.83/0.91 inference(scs_inference,[],[59,186,323,357,354,355,239,35,12,13,15,3])).
% 0.83/0.91 cnf(392,plain,
% 0.83/0.91 (E(a1,f4(a6,a1))),
% 0.83/0.91 inference(scs_inference,[],[59,52,312,153,376,363,300,155,41,11,16,15,3,2])).
% 0.83/0.91 cnf(409,plain,
% 0.83/0.91 ($false),
% 0.83/0.91 inference(scs_inference,[],[21,61,261,269,373,337,392,197,14,16,3,2]),
% 0.83/0.91 ['proof']).
% 0.83/0.91 % SZS output end Proof
% 0.83/0.91 % Total time :0.270000s
%------------------------------------------------------------------------------