TSTP Solution File: NUM844+2 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : NUM844+2 : TPTP v8.1.2. Released v4.1.0.
% 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 10:25:20 EDT 2023
% Result : Theorem 0.19s 0.60s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUM844+2 : TPTP v8.1.2. Released v4.1.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.13/0.34 % Computer : n004.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Fri Aug 25 07:58:23 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.54 start to proof:theBenchmark
% 0.19/0.59 %-------------------------------------------
% 0.19/0.59 % File :CSE---1.6
% 0.19/0.59 % Problem :theBenchmark
% 0.19/0.59 % Transform :cnf
% 0.19/0.59 % Format :tptp:raw
% 0.19/0.59 % Command :java -jar mcs_scs.jar %d %s
% 0.19/0.59
% 0.19/0.59 % Result :Theorem 0.000000s
% 0.19/0.59 % Output :CNFRefutation 0.000000s
% 0.19/0.59 %-------------------------------------------
% 0.19/0.59 %------------------------------------------------------------------------------
% 0.19/0.59 % File : NUM844+2 : TPTP v8.1.2. Released v4.1.0.
% 0.19/0.59 % Domain : Number Theory
% 0.19/0.59 % Problem : holds(266,415,3)
% 0.19/0.59 % Version : Especial: Reduced > Especial.
% 0.19/0.59 % English :
% 0.19/0.59
% 0.19/0.59 % Refs : [Lan30] Landau (1930), Grundlagen der Analysis
% 0.19/0.59 % : [Kue09] Kuehlwein (2009), Email to Geoff Sutcliffe
% 0.19/0.59 % : [KC+10] Kuehlwein et al. (2010), Premise Selection in the Napr
% 0.19/0.59 % Source : [Kue09]
% 0.19/0.59 % Names :
% 0.19/0.59
% 0.19/0.59 % Status : Theorem
% 0.19/0.59 % Rating : 0.08 v8.1.0, 0.14 v7.5.0, 0.16 v7.4.0, 0.13 v7.3.0, 0.14 v7.1.0, 0.22 v7.0.0, 0.17 v6.4.0, 0.23 v6.3.0, 0.25 v6.2.0, 0.28 v6.1.0, 0.33 v6.0.0, 0.30 v5.5.0, 0.22 v5.4.0, 0.25 v5.3.0, 0.30 v5.2.0, 0.10 v5.0.0, 0.21 v4.1.0
% 0.19/0.59 % Syntax : Number of formulae : 20 ( 14 unt; 0 def)
% 0.19/0.59 % Number of atoms : 26 ( 22 equ)
% 0.19/0.59 % Maximal formula atoms : 2 ( 1 avg)
% 0.19/0.59 % Number of connectives : 10 ( 4 ~; 0 |; 2 &)
% 0.19/0.59 % ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% 0.19/0.59 % Maximal formula depth : 5 ( 3 avg)
% 0.19/0.59 % Maximal term depth : 4 ( 2 avg)
% 0.19/0.59 % Number of predicates : 5 ( 4 usr; 0 prp; 2-2 aty)
% 0.19/0.59 % Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% 0.19/0.59 % Number of variables : 21 ( 21 !; 0 ?)
% 0.19/0.59 % SPC : FOF_THM_RFO_SEQ
% 0.19/0.59
% 0.19/0.59 % Comments : From the Landau in Naproche 0.45 collection.
% 0.19/0.59 % : This version uses a filtered set of axioms.
% 0.19/0.59 %------------------------------------------------------------------------------
% 0.19/0.59 fof('holds(266, 415, 3)',conjecture,
% 0.19/0.59 vplus(vmul(vd411,vd413),vplus(vd413,vsucc(vd411))) = vplus(vmul(vd411,vd413),vplus(vsucc(vd411),vd413)) ).
% 0.19/0.59
% 0.19/0.59 fof('holds(266, 415, 2)',axiom,
% 0.19/0.59 vplus(vplus(vmul(vd411,vd413),vd413),vsucc(vd411)) = vplus(vmul(vd411,vd413),vplus(vd413,vsucc(vd411))) ).
% 0.19/0.59
% 0.19/0.59 fof('holds(266, 415, 1)',axiom,
% 0.19/0.59 vplus(vmul(vsucc(vd411),vd413),vsucc(vd411)) = vplus(vplus(vmul(vd411,vd413),vd413),vsucc(vd411)) ).
% 0.19/0.59
% 0.19/0.59 fof('holds(266, 415, 0)',axiom,
% 0.19/0.59 vmul(vsucc(vd411),vsucc(vd413)) = vplus(vmul(vsucc(vd411),vd413),vsucc(vd411)) ).
% 0.19/0.59
% 0.19/0.59 fof('holds(265, 414, 0)',axiom,
% 0.19/0.59 vmul(vsucc(vd411),vd413) = vplus(vmul(vd411,vd413),vd413) ).
% 0.19/0.59
% 0.19/0.59 fof('holds(264, 412, 2)',axiom,
% 0.19/0.59 vsucc(vmul(vd411,v1)) = vplus(vmul(vd411,v1),v1) ).
% 0.19/0.59
% 0.19/0.59 fof('holds(264, 412, 1)',axiom,
% 0.19/0.59 vsucc(vd411) = vsucc(vmul(vd411,v1)) ).
% 0.19/0.59
% 0.19/0.59 fof('holds(264, 412, 0)',axiom,
% 0.19/0.59 vmul(vsucc(vd411),v1) = vsucc(vd411) ).
% 0.19/0.59
% 0.19/0.59 fof('ass(cond(253, 0), 0)',axiom,
% 0.19/0.59 ! [Vd400] : vmul(v1,Vd400) = Vd400 ).
% 0.19/0.60
% 0.19/0.60 fof('qu(cond(conseq(axiom(3)), 32), and(holds(definiens(249), 399, 0), holds(definiens(249), 398, 0)))',axiom,
% 0.19/0.60 ! [Vd396,Vd397] :
% 0.19/0.60 ( vmul(Vd396,vsucc(Vd397)) = vplus(vmul(Vd396,Vd397),Vd396)
% 0.19/0.60 & vmul(Vd396,v1) = Vd396 ) ).
% 0.19/0.60
% 0.19/0.60 fof('ass(cond(241, 0), 0)',axiom,
% 0.19/0.60 ! [Vd386,Vd387] :
% 0.19/0.60 ( less(Vd386,vplus(Vd387,v1))
% 0.19/0.60 => leq(Vd386,Vd387) ) ).
% 0.19/0.60
% 0.19/0.60 fof('ass(cond(234, 0), 0)',axiom,
% 0.19/0.60 ! [Vd375,Vd376] :
% 0.19/0.60 ( greater(Vd375,Vd376)
% 0.19/0.60 => geq(Vd375,vplus(Vd376,v1)) ) ).
% 0.19/0.60
% 0.19/0.60 fof('ass(cond(61, 0), 0)',axiom,
% 0.19/0.60 ! [Vd78,Vd79] : vplus(Vd79,Vd78) = vplus(Vd78,Vd79) ).
% 0.19/0.60
% 0.19/0.60 fof('ass(cond(52, 0), 0)',axiom,
% 0.19/0.60 ! [Vd68,Vd69] : vplus(vsucc(Vd68),Vd69) = vsucc(vplus(Vd68,Vd69)) ).
% 0.19/0.60
% 0.19/0.60 fof('ass(cond(43, 0), 0)',axiom,
% 0.19/0.60 ! [Vd59] : vplus(v1,Vd59) = vsucc(Vd59) ).
% 0.19/0.60
% 0.19/0.60 fof('ass(cond(33, 0), 0)',axiom,
% 0.19/0.60 ! [Vd46,Vd47,Vd48] : vplus(vplus(Vd46,Vd47),Vd48) = vplus(Vd46,vplus(Vd47,Vd48)) ).
% 0.19/0.60
% 0.19/0.60 fof('qu(cond(conseq(axiom(3)), 3), and(holds(definiens(29), 45, 0), holds(definiens(29), 44, 0)))',axiom,
% 0.19/0.60 ! [Vd42,Vd43] :
% 0.19/0.60 ( vplus(Vd42,vsucc(Vd43)) = vsucc(vplus(Vd42,Vd43))
% 0.19/0.60 & vplus(Vd42,v1) = vsucc(Vd42) ) ).
% 0.19/0.60
% 0.19/0.60 fof('ass(cond(20, 0), 0)',axiom,
% 0.19/0.60 ! [Vd24] :
% 0.19/0.60 ( Vd24 != v1
% 0.19/0.60 => Vd24 = vsucc(vskolem2(Vd24)) ) ).
% 0.19/0.60
% 0.19/0.60 fof('ass(cond(12, 0), 0)',axiom,
% 0.19/0.60 ! [Vd16] : vsucc(Vd16) != Vd16 ).
% 0.19/0.60
% 0.19/0.60 fof('ass(cond(6, 0), 0)',axiom,
% 0.19/0.60 ! [Vd7,Vd8] :
% 0.19/0.60 ( Vd7 != Vd8
% 0.19/0.60 => vsucc(Vd7) != vsucc(Vd8) ) ).
% 0.19/0.60
% 0.19/0.60 %------------------------------------------------------------------------------
% 0.19/0.60 %-------------------------------------------
% 0.19/0.60 % Proof found
% 0.19/0.60 % SZS status Theorem for theBenchmark
% 0.19/0.60 % SZS output start Proof
% 0.19/0.60 %ClaNum:36(EqnAxiom:16)
% 0.19/0.60 %VarNum:40(SingletonVarNum:19)
% 0.19/0.60 %MaxLitNum:2
% 0.19/0.60 %MaxfuncDepth:3
% 0.19/0.60 %SharedTerms:25
% 0.19/0.60 %goalClause: 32
% 0.19/0.60 %singleGoalClaCount:1
% 0.19/0.60 [21]E(f5(f2(a3,a1),a1),f5(a3,a1))
% 0.19/0.60 [23]E(f5(f2(a3,a4),a4),f2(f5(a3,a1),a4))
% 0.19/0.60 [30]E(f5(f5(f2(a3,a4),a4),f5(a3,a1)),f5(f2(f5(a3,a1),a4),f5(a3,a1)))
% 0.19/0.60 [32]~E(f5(f2(a3,a4),f5(f5(a3,a1),a4)),f5(f2(a3,a4),f5(a4,f5(a3,a1))))
% 0.19/0.60 [17]E(f2(x171,a1),x171)
% 0.19/0.60 [18]E(f2(a1,x181),x181)
% 0.19/0.60 [31]~E(f5(x311,a1),x311)
% 0.19/0.60 [20]E(f5(x201,x202),f5(x202,x201))
% 0.19/0.60 [25]E(f5(f5(x251,a1),x252),f5(f5(x251,x252),a1))
% 0.19/0.60 [26]E(f5(f2(x261,x262),x261),f2(x261,f5(x262,a1)))
% 0.19/0.60 [27]E(f5(f5(x271,x272),x273),f5(x271,f5(x272,x273)))
% 0.19/0.60 [33]E(x331,a1)+E(f5(f6(x331),a1),x331)
% 0.19/0.60 [34]E(x341,x342)+~E(f5(x341,a1),f5(x342,a1))
% 0.19/0.60 [35]~P2(x351,x352)+P1(x351,f5(x352,a1))
% 0.19/0.60 [36]P3(x361,x362)+~P4(x361,f5(x362,a1))
% 0.19/0.60 %EqnAxiom
% 0.19/0.60 [1]E(x11,x11)
% 0.19/0.60 [2]E(x22,x21)+~E(x21,x22)
% 0.19/0.60 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.19/0.60 [4]~E(x41,x42)+E(f2(x41,x43),f2(x42,x43))
% 0.19/0.60 [5]~E(x51,x52)+E(f2(x53,x51),f2(x53,x52))
% 0.19/0.60 [6]~E(x61,x62)+E(f5(x61,x63),f5(x62,x63))
% 0.19/0.60 [7]~E(x71,x72)+E(f5(x73,x71),f5(x73,x72))
% 0.19/0.60 [8]~E(x81,x82)+E(f6(x81),f6(x82))
% 0.19/0.60 [9]P1(x92,x93)+~E(x91,x92)+~P1(x91,x93)
% 0.19/0.60 [10]P1(x103,x102)+~E(x101,x102)+~P1(x103,x101)
% 0.19/0.60 [11]P2(x112,x113)+~E(x111,x112)+~P2(x111,x113)
% 0.19/0.60 [12]P2(x123,x122)+~E(x121,x122)+~P2(x123,x121)
% 0.19/0.60 [13]P3(x132,x133)+~E(x131,x132)+~P3(x131,x133)
% 0.19/0.60 [14]P3(x143,x142)+~E(x141,x142)+~P3(x143,x141)
% 0.19/0.60 [15]P4(x152,x153)+~E(x151,x152)+~P4(x151,x153)
% 0.19/0.60 [16]P4(x163,x162)+~E(x161,x162)+~P4(x163,x161)
% 0.19/0.60
% 0.19/0.60 %-------------------------------------------
% 0.19/0.60 cnf(38,plain,
% 0.19/0.60 ($false),
% 0.19/0.60 inference(scs_inference,[],[32,21,20,2,7]),
% 0.19/0.60 ['proof']).
% 0.19/0.60 % SZS output end Proof
% 0.19/0.60 % Total time :0.000000s
%------------------------------------------------------------------------------