TSTP Solution File: NUM531+2 by CSE---1.6
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : NUM531+2 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% Computer : n004.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 0.17s 0.64s
% Output : CNFRefutation 0.17s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.14 % Problem : NUM531+2 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.15 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.12/0.35 % Computer : n004.cluster.edu
% 0.12/0.35 % Model : x86_64 x86_64
% 0.12/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.35 % Memory : 8042.1875MB
% 0.12/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.35 % CPULimit : 300
% 0.12/0.35 % WCLimit : 300
% 0.12/0.35 % DateTime : Fri Aug 25 14:42:08 EDT 2023
% 0.12/0.35 % CPUTime :
% 0.17/0.61 start to proof:theBenchmark
% 0.17/0.64 %-------------------------------------------
% 0.17/0.64 % File :CSE---1.6
% 0.17/0.64 % Problem :theBenchmark
% 0.17/0.64 % Transform :cnf
% 0.17/0.64 % Format :tptp:raw
% 0.17/0.64 % Command :java -jar mcs_scs.jar %d %s
% 0.17/0.64
% 0.17/0.64 % Result :Theorem 0.000000s
% 0.17/0.64 % Output :CNFRefutation 0.000000s
% 0.17/0.64 %-------------------------------------------
% 0.17/0.64 %------------------------------------------------------------------------------
% 0.17/0.64 % File : NUM531+2 : TPTP v8.1.2. Released v4.0.0.
% 0.17/0.64 % Domain : Number Theory
% 0.17/0.64 % Problem : Ramsey's Infinite Theorem 01, 01 expansion
% 0.17/0.64 % Version : Especial.
% 0.17/0.64 % English :
% 0.17/0.64
% 0.17/0.64 % Refs : [VLP07] Verchinine et al. (2007), System for Automated Deduction
% 0.17/0.64 % : [Pas08] Paskevich (2008), Email to G. Sutcliffe
% 0.17/0.64 % Source : [Pas08]
% 0.17/0.64 % Names : ramsey_01.01 [Pas08]
% 0.17/0.64
% 0.17/0.64 % Status : Theorem
% 0.17/0.64 % Rating : 0.03 v7.1.0, 0.04 v7.0.0, 0.03 v6.4.0, 0.04 v6.3.0, 0.00 v6.2.0, 0.04 v6.1.0, 0.10 v6.0.0, 0.09 v5.5.0, 0.04 v5.4.0, 0.11 v5.3.0, 0.15 v5.2.0, 0.05 v5.1.0, 0.10 v5.0.0, 0.17 v4.1.0, 0.22 v4.0.1, 0.61 v4.0.0
% 0.17/0.64 % Syntax : Number of formulae : 9 ( 1 unt; 1 def)
% 0.17/0.64 % Number of atoms : 24 ( 2 equ)
% 0.17/0.64 % Maximal formula atoms : 4 ( 2 avg)
% 0.17/0.64 % Number of connectives : 19 ( 4 ~; 0 |; 4 &)
% 0.17/0.64 % ( 1 <=>; 10 =>; 0 <=; 0 <~>)
% 0.17/0.64 % Maximal formula depth : 7 ( 4 avg)
% 0.17/0.64 % Maximal term depth : 1 ( 1 avg)
% 0.17/0.64 % Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% 0.17/0.64 % Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% 0.17/0.64 % Number of variables : 11 ( 9 !; 2 ?)
% 0.17/0.64 % SPC : FOF_THM_RFO_SEQ
% 0.17/0.64
% 0.17/0.64 % Comments : Problem generated by the SAD system [VLP07]
% 0.17/0.64 %------------------------------------------------------------------------------
% 0.17/0.64 fof(mSetSort,axiom,
% 0.17/0.64 ! [W0] :
% 0.17/0.64 ( aSet0(W0)
% 0.17/0.64 => $true ) ).
% 0.17/0.64
% 0.17/0.64 fof(mElmSort,axiom,
% 0.17/0.64 ! [W0] :
% 0.17/0.64 ( aElement0(W0)
% 0.17/0.64 => $true ) ).
% 0.17/0.64
% 0.17/0.64 fof(mEOfElem,axiom,
% 0.17/0.64 ! [W0] :
% 0.17/0.64 ( aSet0(W0)
% 0.17/0.64 => ! [W1] :
% 0.17/0.64 ( aElementOf0(W1,W0)
% 0.17/0.64 => aElement0(W1) ) ) ).
% 0.17/0.64
% 0.17/0.64 fof(mFinRel,axiom,
% 0.17/0.64 ! [W0] :
% 0.17/0.64 ( aSet0(W0)
% 0.17/0.64 => ( isFinite0(W0)
% 0.17/0.64 => $true ) ) ).
% 0.17/0.64
% 0.17/0.64 fof(mDefEmp,definition,
% 0.17/0.64 ! [W0] :
% 0.17/0.64 ( W0 = slcrc0
% 0.17/0.64 <=> ( aSet0(W0)
% 0.17/0.64 & ~ ? [W1] : aElementOf0(W1,W0) ) ) ).
% 0.17/0.64
% 0.17/0.64 fof(mEmpFin,axiom,
% 0.17/0.64 isFinite0(slcrc0) ).
% 0.17/0.64
% 0.17/0.64 fof(mCntRel,axiom,
% 0.17/0.64 ! [W0] :
% 0.17/0.64 ( aSet0(W0)
% 0.17/0.64 => ( isCountable0(W0)
% 0.17/0.64 => $true ) ) ).
% 0.17/0.64
% 0.17/0.64 fof(mCountNFin,axiom,
% 0.17/0.64 ! [W0] :
% 0.17/0.64 ( ( aSet0(W0)
% 0.17/0.64 & isCountable0(W0) )
% 0.17/0.64 => ~ isFinite0(W0) ) ).
% 0.17/0.64
% 0.17/0.64 fof(m__,conjecture,
% 0.17/0.64 ! [W0] :
% 0.17/0.64 ( ( aSet0(W0)
% 0.17/0.64 & isCountable0(W0) )
% 0.17/0.64 => ~ ( ~ ? [W1] : aElementOf0(W1,W0)
% 0.17/0.64 & W0 = slcrc0 ) ) ).
% 0.17/0.64
% 0.17/0.64 %------------------------------------------------------------------------------
% 0.17/0.64 %-------------------------------------------
% 0.17/0.64 % Proof found
% 0.17/0.64 % SZS status Theorem for theBenchmark
% 0.17/0.64 % SZS output start Proof
% 0.17/0.66 %ClaNum:20(EqnAxiom:10)
% 0.17/0.66 %VarNum:17(SingletonVarNum:8)
% 0.17/0.66 %MaxLitNum:3
% 0.17/0.66 %MaxfuncDepth:1
% 0.17/0.66 %SharedTerms:6
% 0.17/0.66 %goalClause: 11 12 14 15
% 0.17/0.66 %singleGoalClaCount:4
% 0.17/0.66 [11]E(a1,a3)
% 0.17/0.66 [12]P1(a1)
% 0.17/0.66 [13]P4(a3)
% 0.17/0.66 [14]P5(a1)
% 0.17/0.66 [15]~P2(x151,a1)
% 0.17/0.66 [16]P1(x161)+~E(x161,a3)
% 0.17/0.66 [18]~P2(x182,x181)+~E(x181,a3)
% 0.17/0.66 [17]~P4(x171)+~P5(x171)+~P1(x171)
% 0.17/0.66 [19]~P1(x191)+P2(f2(x191),x191)+E(x191,a3)
% 0.17/0.66 [20]~P2(x201,x202)+P3(x201)+~P1(x202)
% 0.17/0.66 %EqnAxiom
% 0.17/0.66 [1]E(x11,x11)
% 0.17/0.66 [2]E(x22,x21)+~E(x21,x22)
% 0.17/0.66 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.17/0.66 [4]~E(x41,x42)+E(f2(x41),f2(x42))
% 0.17/0.66 [5]~P1(x51)+P1(x52)+~E(x51,x52)
% 0.17/0.66 [6]~P4(x61)+P4(x62)+~E(x61,x62)
% 0.17/0.66 [7]~P5(x71)+P5(x72)+~E(x71,x72)
% 0.17/0.66 [8]P2(x82,x83)+~E(x81,x82)+~P2(x81,x83)
% 0.17/0.66 [9]P2(x93,x92)+~E(x91,x92)+~P2(x93,x91)
% 0.17/0.66 [10]~P3(x101)+P3(x102)+~E(x101,x102)
% 0.17/0.66
% 0.17/0.66 %-------------------------------------------
% 0.17/0.67 cnf(25,plain,
% 0.17/0.67 ($false),
% 0.17/0.67 inference(scs_inference,[],[11,12,14,13,2,7,6,5,17]),
% 0.17/0.67 ['proof']).
% 0.17/0.67 % SZS output end Proof
% 0.17/0.67 % Total time :0.000000s
%------------------------------------------------------------------------------