%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : NUN087+1 : TPTP v8.2.0. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/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 13:29:44 EDT 2024
% Result : Theorem 58.47s 58.57s
% Output : CNFRefutation 58.47s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.10 % Problem : NUN087+1 : TPTP v8.2.0. Released v7.3.0.
% 0.06/0.10 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.09/0.30 % Computer : n032.cluster.edu
% 0.09/0.30 % Model : x86_64 x86_64
% 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30 % Memory : 8042.1875MB
% 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30 % CPULimit : 300
% 0.09/0.30 % WCLimit : 300
% 0.09/0.30 % DateTime : Tue Jun 18 21:24:23 EDT 2024
% 0.09/0.30 % CPUTime :
% 0.16/0.50 start to proof:theBenchmark
% 58.47/58.56 %-------------------------------------------
% 58.47/58.56 % File :CSE---1.7
% 58.47/58.56 % Problem :theBenchmark
% 58.47/58.56 % Transform :cnf
% 58.47/58.56 % Format :tptp:raw
% 58.47/58.56 % Command :java -jar mcs_scs.jar %d %s
% 58.47/58.56
% 58.47/58.56 % Result :Theorem 58.020000s
% 58.47/58.56 % Output :CNFRefutation 58.020000s
% 58.47/58.56 %-------------------------------------------
% 58.47/58.57 %------------------------------------------------------------------------------
% 58.47/58.57 % File : NUN087+1 : TPTP v8.2.0. Released v7.3.0.
% 58.47/58.57 % Domain : Number Theory
% 58.47/58.57 % Problem : Robinson arithmetic: 0 * 0 = 0
% 58.47/58.57 % Version : Especial.
% 58.47/58.57 % English :
% 58.47/58.57
% 58.47/58.57 % Refs : [BBJ03] Boolos et al. (2003), Computability and Logic
% 58.47/58.57 % : [Smi07] Smith (2007), An Introduction to Goedel's Theorems
% 58.47/58.57 % : [Lam18] Lampert (2018), Email to Geoff Sutcliffe
% 58.47/58.57 % Source : [Lam18]
% 58.47/58.57 % Names : zerotimeszeroeqzero [Lam18]
% 58.47/58.57
% 58.47/58.57 % Status : Theorem
% 58.47/58.57 % Rating : 0.12 v8.2.0, 0.13 v8.1.0, 0.21 v7.5.0, 0.38 v7.4.0, 0.19 v7.3.0
% 58.47/58.57 % Syntax : Number of formulae : 19 ( 1 unt; 0 def)
% 58.47/58.57 % Number of atoms : 79 ( 0 equ)
% 58.47/58.57 % Maximal formula atoms : 7 ( 4 avg)
% 58.47/58.57 % Number of connectives : 94 ( 34 ~; 26 |; 34 &)
% 58.47/58.57 % ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% 58.47/58.57 % Maximal formula depth : 13 ( 8 avg)
% 58.47/58.57 % Maximal term depth : 1 ( 1 avg)
% 58.47/58.57 % Number of predicates : 5 ( 5 usr; 0 prp; 1-3 aty)
% 58.47/58.57 % Number of functors : 0 ( 0 usr; 0 con; --- aty)
% 58.47/58.57 % Number of variables : 70 ( 47 !; 23 ?)
% 58.47/58.57 % SPC : FOF_THM_RFO_NEQ
% 58.47/58.57
% 58.47/58.57 % Comments : Translated to FOL without equality.
% 58.47/58.57 %------------------------------------------------------------------------------
% 58.47/58.57 include('Axioms/NUM009+0.ax').
% 58.47/58.57 %------------------------------------------------------------------------------
% 58.47/58.57 fof(zerotimeszeroeqzero,conjecture,
% 58.47/58.57 ? [Y1] :
% 58.47/58.57 ( ? [Y2] :
% 58.47/58.57 ( r1(Y2)
% 58.47/58.57 & r4(Y2,Y2,Y1) )
% 58.47/58.57 & ? [Y3] :
% 58.47/58.57 ( id(Y1,Y3)
% 58.47/58.57 & r1(Y3) ) ) ).
% 58.47/58.57
% 58.47/58.57 %------------------------------------------------------------------------------
% 58.47/58.57 %-------------------------------------------
% 58.47/58.57 % Proof found
% 58.47/58.57 % SZS status Theorem for theBenchmark
% 58.47/58.57 % SZS output start Proof
% 58.47/58.57 %ClaNum:43(EqnAxiom:0)
% 58.47/58.57 %VarNum:208(SingletonVarNum:101)
% 58.47/58.57 %MaxLitNum:5
% 58.47/58.57 %MaxfuncDepth:1
% 58.47/58.57 %SharedTerms:1
% 58.47/58.57 %goalClause: 37
% 58.47/58.57 [4]P2(x41,x41)
% 58.47/58.57 [1]P1(f1(x11))
% 58.47/58.57 [2]P1(f6(x21))
% 58.47/58.57 [3]P1(f8(x31))
% 58.47/58.57 [5]P2(f2(x51),x51)
% 58.47/58.57 [6]P2(f7(x61),f8(x61))
% 58.47/58.57 [12]P4(x121,f1(x121),f2(x121))
% 58.47/58.57 [13]P5(x131,f6(x131),f7(x131))
% 58.47/58.57 [7]P3(x71,f9(x72,x71))
% 58.47/58.57 [8]P3(x81,f3(x82,x81))
% 58.47/58.57 [9]P2(f10(x91,x92),f11(x91,x92))
% 58.47/58.57 [10]P2(f4(x101,x102),f19(x101,x102))
% 58.47/58.57 [11]P3(f20(x111,x112),f11(x111,x112))
% 58.47/58.57 [14]P4(x141,x142,f20(x141,x142))
% 58.47/58.58 [15]P5(x151,x152,f5(x151,x152))
% 58.47/58.58 [16]P4(x161,f9(x161,x162),f10(x161,x162))
% 58.47/58.58 [17]P5(x171,f3(x171,x172),f4(x171,x172))
% 58.47/58.58 [18]P4(f5(x181,x182),x181,f19(x181,x182))
% 58.47/58.58 [19]~P1(x191)+P2(x191,a12)
% 58.47/58.58 [20]P1(x201)+~P2(x201,a12)
% 58.47/58.58 [21]P2(x211,f15(x211))+P1(f13(x211))
% 58.47/58.58 [25]P3(f14(x251),f15(x251))+P1(f13(x251))
% 58.47/58.58 [26]P2(x261,f15(x261))+P2(x261,f13(x261))
% 58.47/58.58 [29]P3(f14(x291),f15(x291))+P2(x291,f13(x291))
% 58.47/58.58 [24]~P2(x242,x241)+P2(x241,x242)
% 58.47/58.58 [27]~P3(x272,x271)+P2(x271,f16(x272))
% 58.47/58.58 [28]P3(x281,x282)+~P2(x282,f16(x281))
% 58.47/58.58 [35]P4(x351,x352,x353)+~P2(x353,f17(x351,x352))
% 58.47/58.58 [36]P5(x361,x362,x363)+~P2(x363,f18(x361,x362))
% 58.47/58.58 [38]~P4(x382,x383,x381)+P2(x381,f17(x382,x383))
% 58.47/58.58 [39]~P5(x392,x393,x391)+P2(x391,f18(x392,x393))
% 58.47/58.58 [22]~P2(x222,x221)+P1(x221)+~P1(x222)
% 58.47/58.58 [23]~P2(x231,x232)+P1(x231)+~P1(x232)
% 58.47/58.58 [30]~P1(x301)+~P2(x301,x302)+~P3(x303,x302)
% 58.47/58.58 [31]~P2(x311,x313)+P2(x311,x312)+~P2(x313,x312)
% 58.47/58.58 [37]~P5(x372,x372,x373)+~P1(x371)+~P2(x373,x371)+~P1(x372)
% 58.47/58.58 [32]~P3(x322,x324)+~P3(x321,x323)+P2(x321,x322)+~P2(x323,x324)
% 58.47/58.58 [33]~P3(x334,x333)+P3(x331,x332)+~P2(x333,x332)+~P2(x334,x331)
% 58.47/58.58 [34]~P3(x344,x343)+P3(x341,x342)+~P2(x342,x343)+~P2(x341,x344)
% 58.47/58.58 [40]~P4(x406,x405,x404)+P4(x401,x402,x403)+~P2(x404,x403)+~P2(x405,x402)+~P2(x406,x401)
% 58.47/58.58 [41]~P4(x416,x415,x414)+P4(x411,x412,x413)+~P2(x413,x414)+~P2(x412,x415)+~P2(x411,x416)
% 58.47/58.58 [42]~P5(x426,x425,x424)+P5(x421,x422,x423)+~P2(x424,x423)+~P2(x425,x422)+~P2(x426,x421)
% 58.47/58.58 [43]~P5(x436,x435,x434)+P5(x431,x432,x433)+~P2(x433,x434)+~P2(x432,x435)+~P2(x431,x436)
% 58.47/58.58 %EqnAxiom
% 58.47/58.58
% 58.47/58.58 %-------------------------------------------
% 58.47/58.58 cnf(45,plain,
% 58.47/58.58 (P2(x451,x451)),
% 58.47/58.58 inference(rename_variables,[],[4])).
% 58.47/58.58 cnf(48,plain,
% 58.47/58.58 (P2(x481,x481)),
% 58.47/58.58 inference(rename_variables,[],[4])).
% 58.47/58.58 cnf(51,plain,
% 58.47/58.58 (P2(x511,x511)),
% 58.47/58.58 inference(rename_variables,[],[4])).
% 58.47/58.58 cnf(53,plain,
% 58.47/58.58 (P4(x531,x532,f17(x531,x532))),
% 58.47/58.58 inference(scs_inference,[],[4,45,48,51,20,36,28,35])).
% 58.47/58.58 cnf(54,plain,
% 58.47/58.58 (P2(x541,x541)),
% 58.47/58.58 inference(rename_variables,[],[4])).
% 58.47/58.58 cnf(57,plain,
% 58.47/58.58 (P2(x571,x571)),
% 58.47/58.58 inference(rename_variables,[],[4])).
% 58.47/58.58 cnf(59,plain,
% 58.47/58.58 (~P1(f5(f1(x591),f1(x591)))),
% 58.47/58.58 inference(scs_inference,[],[1,15,4,45,48,51,54,57,20,36,28,35,30,37])).
% 58.47/58.58 cnf(91,plain,
% 58.47/58.58 (P2(f2(x911),x911)),
% 58.47/58.58 inference(rename_variables,[],[5])).
% 58.47/58.58 cnf(94,plain,
% 58.47/58.58 (P2(f2(x941),x941)),
% 58.47/58.58 inference(rename_variables,[],[5])).
% 58.47/58.58 cnf(97,plain,
% 58.47/58.58 (P2(f2(x971),x971)),
% 58.47/58.58 inference(rename_variables,[],[5])).
% 58.47/58.58 cnf(99,plain,
% 58.47/58.58 (P1(f2(a12))),
% 58.47/58.58 inference(scs_inference,[],[5,91,94,97,28,35,36,20])).
% 58.47/58.58 cnf(138,plain,
% 58.47/58.58 (~P3(x1381,f2(a12))),
% 58.47/58.58 inference(scs_inference,[],[99,4,30])).
% 58.47/58.58 cnf(178,plain,
% 58.47/58.58 (P2(f2(x1781),x1781)),
% 58.47/58.58 inference(rename_variables,[],[5])).
% 58.47/58.58 cnf(181,plain,
% 58.47/58.58 (P2(x1811,x1811)),
% 58.47/58.58 inference(rename_variables,[],[4])).
% 58.47/58.58 cnf(189,plain,
% 58.47/58.58 (P2(x1891,x1891)),
% 58.47/58.58 inference(rename_variables,[],[4])).
% 58.47/58.58 cnf(190,plain,
% 58.47/58.58 (P5(x1901,x1902,f5(x1901,x1902))),
% 58.47/58.58 inference(rename_variables,[],[15])).
% 58.47/58.58 cnf(192,plain,
% 58.47/58.58 (P5(f2(x1921),f2(x1921),f5(x1921,x1921))),
% 58.47/58.58 inference(scs_inference,[],[1,15,190,5,178,6,3,4,181,189,31,30,37,33,42,43])).
% 58.47/58.58 cnf(348,plain,
% 58.47/58.58 (P2(f6(x3481),a12)),
% 58.47/58.58 inference(scs_inference,[],[2,4,19,22])).
% 58.47/58.58 cnf(353,plain,
% 58.47/58.59 (~P1(f5(f6(x3531),f6(x3531)))),
% 58.47/58.59 inference(scs_inference,[],[2,59,15,4,22,23,37])).
% 58.47/58.59 cnf(364,plain,
% 58.47/58.59 (~P5(f6(x3641),f6(x3641),f7(x3642))),
% 58.47/58.59 inference(scs_inference,[],[2,353,6,3,23,37])).
% 58.47/58.59 cnf(3927,plain,
% 58.47/58.59 (P2(x39271,x39271)),
% 58.47/58.59 inference(rename_variables,[],[4])).
% 58.47/58.59 cnf(3930,plain,
% 58.47/58.59 (P2(f2(x39301),x39301)),
% 58.47/58.59 inference(rename_variables,[],[5])).
% 58.47/58.59 cnf(3931,plain,
% 58.47/58.59 (~P3(x39311,f2(a12))),
% 58.47/58.59 inference(rename_variables,[],[138])).
% 58.47/58.59 cnf(3934,plain,
% 58.47/58.59 (P2(x39341,x39341)),
% 58.47/58.59 inference(rename_variables,[],[4])).
% 58.47/58.59 cnf(3938,plain,
% 58.47/58.59 (P2(x39381,x39381)),
% 58.47/58.59 inference(rename_variables,[],[4])).
% 58.47/58.59 cnf(3939,plain,
% 58.47/58.59 (P2(f2(x39391),x39391)),
% 58.47/58.59 inference(rename_variables,[],[5])).
% 58.47/58.59 cnf(3946,plain,
% 58.47/58.59 (P2(x39461,x39461)),
% 58.47/58.59 inference(rename_variables,[],[4])).
% 58.47/58.59 cnf(3953,plain,
% 58.47/58.59 (~P2(f7(x39531),f7(a12))),
% 58.47/58.59 inference(scs_inference,[],[1,192,364,138,3931,13,11,53,14,7,15,5,3930,3939,3,348,6,4,3927,3934,3938,3946,27,38,19,28,39,24,30,34,33,42,41,20,23,43])).
% 58.47/58.59 cnf(3970,plain,
% 58.47/58.59 ($false),
% 58.47/58.59 inference(scs_inference,[],[3953,4]),
% 58.47/58.59 ['proof']).
% 58.47/58.59 % SZS output end Proof
% 58.47/58.59 % Total time :58.020000s
%------------------------------------------------------------------------------