%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : NUM847+2 : TPTP v8.2.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% Computer : n032.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 : Mon Jun 24 12:26:44 EDT 2024
% Result : Theorem 0.11s 0.48s
% Output : CNFRefutation 0.11s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.08 % Problem : NUM847+2 : TPTP v8.2.0. Released v4.1.0.
% 0.00/0.08 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.07/0.26 % Computer : n032.cluster.edu
% 0.07/0.26 % Model : x86_64 x86_64
% 0.07/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.26 % Memory : 8042.1875MB
% 0.07/0.26 % OS : Linux 3.10.0-693.el7.x86_64
% 0.07/0.26 % CPULimit : 300
% 0.07/0.26 % WCLimit : 300
% 0.07/0.26 % DateTime : Sun Jun 23 04:03:08 EDT 2024
% 0.07/0.26 % CPUTime :
% 0.11/0.45 start to proof:theBenchmark
% 0.11/0.48 %-------------------------------------------
% 0.11/0.48 % File :CSE---1.7
% 0.11/0.48 % Problem :theBenchmark
% 0.11/0.48 % Transform :cnf
% 0.11/0.48 % Format :tptp:raw
% 0.11/0.48 % Command :java -jar mcs_scs.jar %d %s
% 0.11/0.48
% 0.11/0.48 % Result :Theorem 0.000000s
% 0.11/0.48 % Output :CNFRefutation 0.000000s
% 0.11/0.48 %-------------------------------------------
% 0.11/0.48 %------------------------------------------------------------------------------
% 0.11/0.48 % File : NUM847+2 : TPTP v8.2.0. Released v4.1.0.
% 0.11/0.48 % Domain : Number Theory
% 0.11/0.48 % Problem : holds(286,441,3)
% 0.11/0.48 % Version : Especial: Reduced > Especial.
% 0.11/0.48 % English :
% 0.11/0.48
% 0.11/0.48 % Refs : [Lan30] Landau (1930), Grundlagen der Analysis
% 0.11/0.48 % : [Kue09] Kuehlwein (2009), Email to Geoff Sutcliffe
% 0.11/0.48 % : [KC+10] Kuehlwein et al. (2010), Premise Selection in the Napr
% 0.11/0.48 % Source : [Kue09]
% 0.11/0.48 % Names :
% 0.11/0.48
% 0.11/0.48 % Status : Theorem
% 0.11/0.48 % Rating : 0.11 v8.1.0, 0.17 v7.5.0, 0.19 v7.4.0, 0.17 v7.1.0, 0.26 v7.0.0, 0.17 v6.4.0, 0.23 v6.3.0, 0.25 v6.2.0, 0.28 v6.1.0, 0.40 v6.0.0, 0.35 v5.5.0, 0.22 v5.4.0, 0.25 v5.3.0, 0.33 v5.2.0, 0.20 v5.1.0, 0.19 v5.0.0, 0.17 v4.1.0
% 0.11/0.48 % Syntax : Number of formulae : 19 ( 14 unt; 0 def)
% 0.11/0.48 % Number of atoms : 24 ( 20 equ)
% 0.11/0.48 % Maximal formula atoms : 2 ( 1 avg)
% 0.11/0.48 % Number of connectives : 7 ( 2 ~; 0 |; 2 &)
% 0.11/0.48 % ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% 0.11/0.48 % Maximal formula depth : 4 ( 2 avg)
% 0.11/0.48 % Maximal term depth : 4 ( 2 avg)
% 0.11/0.48 % Number of predicates : 5 ( 4 usr; 0 prp; 2-2 aty)
% 0.11/0.48 % Number of functors : 8 ( 8 usr; 4 con; 0-2 aty)
% 0.11/0.48 % Number of variables : 19 ( 19 !; 0 ?)
% 0.11/0.48 % SPC : FOF_THM_RFO_SEQ
% 0.11/0.48
% 0.11/0.48 % Comments : From the Landau in Naproche 0.45 collection.
% 0.11/0.48 % : This version uses a filtered set of axioms.
% 0.11/0.48 %------------------------------------------------------------------------------
% 0.11/0.48 fof('holds(286, 441, 3)',conjecture,
% 0.11/0.48 vplus(vplus(vmul(vd436,vd437),vmul(vd436,vd439)),vd436) = vplus(vmul(vd436,vd437),vplus(vmul(vd436,vd439),vd436)) ).
% 0.11/0.48
% 0.11/0.48 fof('holds(286, 441, 2)',axiom,
% 0.11/0.48 vplus(vmul(vd436,vplus(vd437,vd439)),vd436) = vplus(vplus(vmul(vd436,vd437),vmul(vd436,vd439)),vd436) ).
% 0.11/0.48
% 0.11/0.48 fof('holds(286, 441, 1)',axiom,
% 0.11/0.48 vmul(vd436,vsucc(vplus(vd437,vd439))) = vplus(vmul(vd436,vplus(vd437,vd439)),vd436) ).
% 0.11/0.48
% 0.11/0.48 fof('holds(286, 441, 0)',axiom,
% 0.11/0.48 vmul(vd436,vplus(vd437,vsucc(vd439))) = vmul(vd436,vsucc(vplus(vd437,vd439))) ).
% 0.11/0.48
% 0.11/0.48 fof('holds(285, 440, 0)',axiom,
% 0.11/0.48 vmul(vd436,vplus(vd437,vd439)) = vplus(vmul(vd436,vd437),vmul(vd436,vd439)) ).
% 0.11/0.48
% 0.11/0.48 fof('holds(284, 438, 2)',axiom,
% 0.11/0.48 vplus(vmul(vd436,vd437),vd436) = vplus(vmul(vd436,vd437),vmul(vd436,v1)) ).
% 0.11/0.48
% 0.11/0.48 fof('holds(284, 438, 1)',axiom,
% 0.11/0.48 vmul(vd436,vsucc(vd437)) = vplus(vmul(vd436,vd437),vd436) ).
% 0.11/0.48
% 0.11/0.48 fof('holds(284, 438, 0)',axiom,
% 0.11/0.48 vmul(vd436,vplus(vd437,v1)) = vmul(vd436,vsucc(vd437)) ).
% 0.11/0.48
% 0.11/0.48 fof('ass(cond(253, 0), 0)',axiom,
% 0.11/0.48 ! [Vd400] : vmul(v1,Vd400) = Vd400 ).
% 0.11/0.48
% 0.11/0.48 fof('qu(cond(conseq(axiom(3)), 32), and(holds(definiens(249), 399, 0), holds(definiens(249), 398, 0)))',axiom,
% 0.11/0.48 ! [Vd396,Vd397] :
% 0.11/0.48 ( vmul(Vd396,vsucc(Vd397)) = vplus(vmul(Vd396,Vd397),Vd396)
% 0.11/0.48 & vmul(Vd396,v1) = Vd396 ) ).
% 0.11/0.48
% 0.11/0.48 fof('ass(cond(241, 0), 0)',axiom,
% 0.11/0.48 ! [Vd386,Vd387] :
% 0.11/0.48 ( less(Vd386,vplus(Vd387,v1))
% 0.11/0.48 => leq(Vd386,Vd387) ) ).
% 0.11/0.48
% 0.11/0.48 fof('ass(cond(234, 0), 0)',axiom,
% 0.11/0.48 ! [Vd375,Vd376] :
% 0.11/0.48 ( greater(Vd375,Vd376)
% 0.11/0.48 => geq(Vd375,vplus(Vd376,v1)) ) ).
% 0.11/0.48
% 0.11/0.48 fof('ass(cond(61, 0), 0)',axiom,
% 0.11/0.48 ! [Vd78,Vd79] : vplus(Vd79,Vd78) = vplus(Vd78,Vd79) ).
% 0.11/0.48
% 0.11/0.48 fof('ass(cond(52, 0), 0)',axiom,
% 0.11/0.48 ! [Vd68,Vd69] : vplus(vsucc(Vd68),Vd69) = vsucc(vplus(Vd68,Vd69)) ).
% 0.11/0.48
% 0.11/0.48 fof('ass(cond(43, 0), 0)',axiom,
% 0.11/0.48 ! [Vd59] : vplus(v1,Vd59) = vsucc(Vd59) ).
% 0.11/0.48
% 0.11/0.48 fof('ass(cond(33, 0), 0)',axiom,
% 0.11/0.48 ! [Vd46,Vd47,Vd48] : vplus(vplus(Vd46,Vd47),Vd48) = vplus(Vd46,vplus(Vd47,Vd48)) ).
% 0.11/0.48
% 0.11/0.48 fof('qu(cond(conseq(axiom(3)), 3), and(holds(definiens(29), 45, 0), holds(definiens(29), 44, 0)))',axiom,
% 0.11/0.48 ! [Vd42,Vd43] :
% 0.11/0.48 ( vplus(Vd42,vsucc(Vd43)) = vsucc(vplus(Vd42,Vd43))
% 0.11/0.48 & vplus(Vd42,v1) = vsucc(Vd42) ) ).
% 0.11/0.48
% 0.11/0.48 fof('ass(cond(20, 0), 0)',axiom,
% 0.11/0.48 ! [Vd24] :
% 0.11/0.48 ( Vd24 != v1
% 0.11/0.48 => Vd24 = vsucc(vskolem2(Vd24)) ) ).
% 0.11/0.48
% 0.11/0.48 fof('ass(cond(12, 0), 0)',axiom,
% 0.11/0.48 ! [Vd16] : vsucc(Vd16) != Vd16 ).
% 0.11/0.48
% 0.11/0.48 %------------------------------------------------------------------------------
% 0.11/0.48 %-------------------------------------------
% 0.11/0.48 % Proof found
% 0.11/0.48 % SZS status Theorem for theBenchmark
% 0.11/0.48 % SZS output start Proof
% 0.11/0.48 %ClaNum:35(EqnAxiom:16)
% 0.11/0.48 %VarNum:36(SingletonVarNum:17)
% 0.11/0.48 %MaxLitNum:2
% 0.11/0.48 %MaxfuncDepth:3
% 0.11/0.48 %SharedTerms:30
% 0.11/0.48 %goalClause: 32
% 0.11/0.48 %singleGoalClaCount:1
% 0.11/0.48 [26]E(f6(f2(a3,a4),f2(a3,a5)),f2(a3,f6(a4,a5)))
% 0.11/0.48 [27]E(f6(f2(a3,a4),f2(a3,a1)),f6(f2(a3,a4),a3))
% 0.11/0.48 [28]E(f2(a3,f6(f6(a4,a5),a1)),f2(a3,f6(a4,f6(a5,a1))))
% 0.11/0.48 [30]E(f6(f6(f2(a3,a4),f2(a3,a5)),a3),f6(f2(a3,f6(a4,a5)),a3))
% 0.11/0.48 [32]~E(f6(f6(f2(a3,a4),f2(a3,a5)),a3),f6(f2(a3,a4),f6(f2(a3,a5),a3)))
% 0.11/0.48 [17]E(f2(x171,a1),x171)
% 0.11/0.48 [18]E(f2(a1,x181),x181)
% 0.11/0.48 [31]~E(f6(x311,a1),x311)
% 0.11/0.48 [20]E(f6(x201,x202),f6(x202,x201))
% 0.11/0.48 [23]E(f6(f6(x231,a1),x232),f6(f6(x231,x232),a1))
% 0.11/0.48 [24]E(f6(f2(x241,x242),x241),f2(x241,f6(x242,a1)))
% 0.11/0.48 [25]E(f6(f6(x251,x252),x253),f6(x251,f6(x252,x253)))
% 0.11/0.48 [33]E(x331,a1)+E(f6(f7(x331),a1),x331)
% 0.11/0.48 [34]~P2(x341,x342)+P1(x341,f6(x342,a1))
% 0.11/0.48 [35]P3(x351,x352)+~P4(x351,f6(x352,a1))
% 0.11/0.48 %EqnAxiom
% 0.11/0.48 [1]E(x11,x11)
% 0.11/0.48 [2]E(x22,x21)+~E(x21,x22)
% 0.11/0.48 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.11/0.48 [4]~E(x41,x42)+E(f2(x41,x43),f2(x42,x43))
% 0.11/0.48 [5]~E(x51,x52)+E(f2(x53,x51),f2(x53,x52))
% 0.11/0.48 [6]~E(x61,x62)+E(f6(x61,x63),f6(x62,x63))
% 0.11/0.48 [7]~E(x71,x72)+E(f6(x73,x71),f6(x73,x72))
% 0.11/0.48 [8]~E(x81,x82)+E(f7(x81),f7(x82))
% 0.11/0.48 [9]P1(x92,x93)+~E(x91,x92)+~P1(x91,x93)
% 0.11/0.48 [10]P1(x103,x102)+~E(x101,x102)+~P1(x103,x101)
% 0.11/0.48 [11]P2(x112,x113)+~E(x111,x112)+~P2(x111,x113)
% 0.11/0.48 [12]P2(x123,x122)+~E(x121,x122)+~P2(x123,x121)
% 0.11/0.48 [13]P3(x132,x133)+~E(x131,x132)+~P3(x131,x133)
% 0.11/0.48 [14]P3(x143,x142)+~E(x141,x142)+~P3(x143,x141)
% 0.11/0.48 [15]P4(x152,x153)+~E(x151,x152)+~P4(x151,x153)
% 0.11/0.48 [16]P4(x163,x162)+~E(x161,x162)+~P4(x163,x161)
% 0.11/0.48
% 0.11/0.48 %-------------------------------------------
% 0.11/0.48 cnf(36,plain,
% 0.11/0.48 ($false),
% 0.11/0.48 inference(scs_inference,[],[32,25]),
% 0.11/0.48 ['proof']).
% 0.11/0.48 % SZS output end Proof
% 0.11/0.48 % Total time :0.000000s
%------------------------------------------------------------------------------