TSTP Solution File: NUM533+2 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : NUM533+2 : 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 : n006.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 10:22:54 EDT 2023
% Result : Theorem 0.23s 0.69s
% Output : CNFRefutation 0.23s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : NUM533+2 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.14 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.15/0.36 % Computer : n006.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Fri Aug 25 11:13:07 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.23/0.63 start to proof:theBenchmark
% 0.23/0.68 %-------------------------------------------
% 0.23/0.68 % File :CSE---1.6
% 0.23/0.68 % Problem :theBenchmark
% 0.23/0.68 % Transform :cnf
% 0.23/0.68 % Format :tptp:raw
% 0.23/0.68 % Command :java -jar mcs_scs.jar %d %s
% 0.23/0.68
% 0.23/0.68 % Result :Theorem 0.000000s
% 0.23/0.68 % Output :CNFRefutation 0.000000s
% 0.23/0.68 %-------------------------------------------
% 0.23/0.69 %------------------------------------------------------------------------------
% 0.23/0.69 % File : NUM533+2 : TPTP v8.1.2. Released v4.0.0.
% 0.23/0.69 % Domain : Number Theory
% 0.23/0.69 % Problem : Ramsey's Infinite Theorem 03, 01 expansion
% 0.23/0.69 % Version : Especial.
% 0.23/0.69 % English :
% 0.23/0.69
% 0.23/0.69 % Refs : [VLP07] Verchinine et al. (2007), System for Automated Deduction
% 0.23/0.69 % : [Pas08] Paskevich (2008), Email to G. Sutcliffe
% 0.23/0.69 % Source : [Pas08]
% 0.23/0.69 % Names : ramsey_03.01 [Pas08]
% 0.23/0.69
% 0.23/0.69 % Status : Theorem
% 0.23/0.69 % Rating : 0.06 v8.1.0, 0.03 v7.1.0, 0.04 v7.0.0, 0.03 v6.4.0, 0.04 v6.1.0, 0.07 v6.0.0, 0.04 v5.5.0, 0.07 v5.4.0, 0.11 v5.3.0, 0.15 v5.2.0, 0.10 v5.1.0, 0.24 v5.0.0, 0.25 v4.1.0, 0.30 v4.0.1, 0.65 v4.0.0
% 0.23/0.69 % Syntax : Number of formulae : 15 ( 1 unt; 2 def)
% 0.23/0.69 % Number of atoms : 51 ( 3 equ)
% 0.23/0.69 % Maximal formula atoms : 9 ( 3 avg)
% 0.23/0.69 % Number of connectives : 39 ( 3 ~; 1 |; 12 &)
% 0.23/0.69 % ( 2 <=>; 21 =>; 0 <=; 0 <~>)
% 0.23/0.69 % Maximal formula depth : 8 ( 4 avg)
% 0.23/0.69 % Maximal term depth : 1 ( 1 avg)
% 0.23/0.69 % Number of predicates : 8 ( 6 usr; 1 prp; 0-2 aty)
% 0.23/0.69 % Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% 0.23/0.69 % Number of variables : 21 ( 20 !; 1 ?)
% 0.23/0.69 % SPC : FOF_THM_RFO_SEQ
% 0.23/0.69
% 0.23/0.69 % Comments : Problem generated by the SAD system [VLP07]
% 0.23/0.69 %------------------------------------------------------------------------------
% 0.23/0.69 fof(mSetSort,axiom,
% 0.23/0.69 ! [W0] :
% 0.23/0.69 ( aSet0(W0)
% 0.23/0.69 => $true ) ).
% 0.23/0.69
% 0.23/0.69 fof(mElmSort,axiom,
% 0.23/0.69 ! [W0] :
% 0.23/0.69 ( aElement0(W0)
% 0.23/0.69 => $true ) ).
% 0.23/0.69
% 0.23/0.69 fof(mEOfElem,axiom,
% 0.23/0.69 ! [W0] :
% 0.23/0.69 ( aSet0(W0)
% 0.23/0.69 => ! [W1] :
% 0.23/0.69 ( aElementOf0(W1,W0)
% 0.23/0.69 => aElement0(W1) ) ) ).
% 0.23/0.69
% 0.23/0.69 fof(mFinRel,axiom,
% 0.23/0.69 ! [W0] :
% 0.23/0.69 ( aSet0(W0)
% 0.23/0.69 => ( isFinite0(W0)
% 0.23/0.69 => $true ) ) ).
% 0.23/0.69
% 0.23/0.69 fof(mDefEmp,definition,
% 0.23/0.69 ! [W0] :
% 0.23/0.69 ( W0 = slcrc0
% 0.23/0.69 <=> ( aSet0(W0)
% 0.23/0.69 & ~ ? [W1] : aElementOf0(W1,W0) ) ) ).
% 0.23/0.69
% 0.23/0.69 fof(mEmpFin,axiom,
% 0.23/0.69 isFinite0(slcrc0) ).
% 0.23/0.69
% 0.23/0.69 fof(mCntRel,axiom,
% 0.23/0.69 ! [W0] :
% 0.23/0.69 ( aSet0(W0)
% 0.23/0.69 => ( isCountable0(W0)
% 0.23/0.69 => $true ) ) ).
% 0.23/0.69
% 0.23/0.69 fof(mCountNFin,axiom,
% 0.23/0.69 ! [W0] :
% 0.23/0.69 ( ( aSet0(W0)
% 0.23/0.69 & isCountable0(W0) )
% 0.23/0.69 => ~ isFinite0(W0) ) ).
% 0.23/0.69
% 0.23/0.69 fof(mCountNFin_01,axiom,
% 0.23/0.69 ! [W0] :
% 0.23/0.69 ( ( aSet0(W0)
% 0.23/0.69 & isCountable0(W0) )
% 0.23/0.69 => W0 != slcrc0 ) ).
% 0.23/0.69
% 0.23/0.69 fof(mDefSub,definition,
% 0.23/0.69 ! [W0] :
% 0.23/0.69 ( aSet0(W0)
% 0.23/0.69 => ! [W1] :
% 0.23/0.69 ( aSubsetOf0(W1,W0)
% 0.23/0.69 <=> ( aSet0(W1)
% 0.23/0.69 & ! [W2] :
% 0.23/0.69 ( aElementOf0(W2,W1)
% 0.23/0.69 => aElementOf0(W2,W0) ) ) ) ) ).
% 0.23/0.69
% 0.23/0.69 fof(mSubFSet,axiom,
% 0.23/0.69 ! [W0] :
% 0.23/0.69 ( ( aSet0(W0)
% 0.23/0.69 & isFinite0(W0) )
% 0.23/0.69 => ! [W1] :
% 0.23/0.69 ( aSubsetOf0(W1,W0)
% 0.23/0.69 => isFinite0(W1) ) ) ).
% 0.23/0.69
% 0.23/0.69 fof(mSubRefl,axiom,
% 0.23/0.69 ! [W0] :
% 0.23/0.69 ( aSet0(W0)
% 0.23/0.69 => aSubsetOf0(W0,W0) ) ).
% 0.23/0.69
% 0.23/0.69 fof(mSubASymm,axiom,
% 0.23/0.69 ! [W0,W1] :
% 0.23/0.69 ( ( aSet0(W0)
% 0.23/0.69 & aSet0(W1) )
% 0.23/0.69 => ( ( aSubsetOf0(W0,W1)
% 0.23/0.69 & aSubsetOf0(W1,W0) )
% 0.23/0.69 => W0 = W1 ) ) ).
% 0.23/0.69
% 0.23/0.69 fof(m__522,hypothesis,
% 0.23/0.69 ( aSet0(xA)
% 0.23/0.69 & aSet0(xB)
% 0.23/0.69 & aSet0(xC) ) ).
% 0.23/0.69
% 0.23/0.69 fof(m__,conjecture,
% 0.23/0.69 ( ( ! [W0] :
% 0.23/0.69 ( aElementOf0(W0,xA)
% 0.23/0.69 => aElementOf0(W0,xB) )
% 0.23/0.69 & aSubsetOf0(xA,xB)
% 0.23/0.69 & ! [W0] :
% 0.23/0.69 ( aElementOf0(W0,xB)
% 0.23/0.69 => aElementOf0(W0,xC) )
% 0.23/0.69 & aSubsetOf0(xB,xC) )
% 0.23/0.69 => ( ! [W0] :
% 0.23/0.69 ( aElementOf0(W0,xA)
% 0.23/0.69 => aElementOf0(W0,xC) )
% 0.23/0.69 | aSubsetOf0(xA,xC) ) ) ).
% 0.23/0.69
% 0.23/0.69 %------------------------------------------------------------------------------
% 0.23/0.69 %-------------------------------------------
% 0.23/0.69 % Proof found
% 0.23/0.69 % SZS status Theorem for theBenchmark
% 0.23/0.69 % SZS output start Proof
% 0.23/0.69 %ClaNum:38(EqnAxiom:14)
% 0.23/0.69 %VarNum:64(SingletonVarNum:24)
% 0.23/0.69 %MaxLitNum:5
% 0.23/0.69 %MaxfuncDepth:1
% 0.23/0.69 %SharedTerms:14
% 0.23/0.69 %goalClause: 19 20 21 22 23 30 31
% 0.23/0.69 %singleGoalClaCount:5
% 0.23/0.69 [15]P1(a1)
% 0.23/0.69 [16]P1(a6)
% 0.23/0.69 [17]P1(a7)
% 0.23/0.69 [18]P4(a2)
% 0.23/0.69 [19]P2(a3,a1)
% 0.23/0.69 [20]P5(a1,a6)
% 0.23/0.69 [21]P5(a6,a7)
% 0.23/0.69 [22]~P2(a3,a7)
% 0.23/0.69 [23]~P5(a1,a7)
% 0.23/0.69 [24]P1(x241)+~E(x241,a2)
% 0.23/0.69 [27]~P1(x271)+P5(x271,x271)
% 0.23/0.69 [30]~P2(x301,a1)+P2(x301,a6)
% 0.23/0.69 [31]~P2(x311,a6)+P2(x311,a7)
% 0.23/0.69 [28]~P2(x282,x281)+~E(x281,a2)
% 0.23/0.69 [25]~P1(x251)+~P6(x251)+~E(x251,a2)
% 0.23/0.69 [26]~P4(x261)+~P6(x261)+~P1(x261)
% 0.23/0.69 [29]~P1(x291)+P2(f4(x291),x291)+E(x291,a2)
% 0.23/0.69 [32]~P5(x321,x322)+P1(x321)+~P1(x322)
% 0.23/0.69 [33]~P2(x331,x332)+P3(x331)+~P1(x332)
% 0.23/0.69 [34]~P4(x342)+~P5(x341,x342)+P4(x341)+~P1(x342)
% 0.23/0.69 [37]~P1(x371)+~P1(x372)+P5(x371,x372)+P2(f5(x372,x371),x371)
% 0.23/0.69 [38]~P1(x381)+~P1(x382)+P5(x381,x382)+~P2(f5(x382,x381),x382)
% 0.23/0.69 [36]~P1(x362)+~P5(x363,x362)+P2(x361,x362)+~P2(x361,x363)
% 0.23/0.69 [35]~P1(x352)+~P1(x351)+~P5(x352,x351)+~P5(x351,x352)+E(x351,x352)
% 0.23/0.69 %EqnAxiom
% 0.23/0.69 [1]E(x11,x11)
% 0.23/0.69 [2]E(x22,x21)+~E(x21,x22)
% 0.23/0.69 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.23/0.69 [4]~E(x41,x42)+E(f4(x41),f4(x42))
% 0.23/0.69 [5]~E(x51,x52)+E(f5(x51,x53),f5(x52,x53))
% 0.23/0.69 [6]~E(x61,x62)+E(f5(x63,x61),f5(x63,x62))
% 0.23/0.69 [7]~P1(x71)+P1(x72)+~E(x71,x72)
% 0.23/0.69 [8]P2(x82,x83)+~E(x81,x82)+~P2(x81,x83)
% 0.23/0.69 [9]P2(x93,x92)+~E(x91,x92)+~P2(x93,x91)
% 0.23/0.69 [10]P5(x102,x103)+~E(x101,x102)+~P5(x101,x103)
% 0.23/0.69 [11]P5(x113,x112)+~E(x111,x112)+~P5(x113,x111)
% 0.23/0.69 [12]~P4(x121)+P4(x122)+~E(x121,x122)
% 0.23/0.69 [13]~P6(x131)+P6(x132)+~E(x131,x132)
% 0.23/0.69 [14]~P3(x141)+P3(x142)+~E(x141,x142)
% 0.23/0.69
% 0.23/0.69 %-------------------------------------------
% 0.23/0.69 cnf(40,plain,
% 0.23/0.69 ($false),
% 0.23/0.69 inference(scs_inference,[],[19,22,31,30]),
% 0.23/0.69 ['proof']).
% 0.23/0.69 % SZS output end Proof
% 0.23/0.69 % Total time :0.000000s
%------------------------------------------------------------------------------