TSTP Solution File: FLD019-3 by CSE---1.6
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : FLD019-3 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% Computer : n020.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 : Wed Aug 30 22:26:33 EDT 2023
% Result : Unsatisfiable 0.20s 0.71s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : FLD019-3 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.13/0.34 % Computer : n020.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 : Mon Aug 28 00:12:14 EDT 2023
% 0.19/0.34 % CPUTime :
% 0.20/0.58 start to proof:theBenchmark
% 0.20/0.70 %-------------------------------------------
% 0.20/0.70 % File :CSE---1.6
% 0.20/0.70 % Problem :theBenchmark
% 0.20/0.70 % Transform :cnf
% 0.20/0.70 % Format :tptp:raw
% 0.20/0.70 % Command :java -jar mcs_scs.jar %d %s
% 0.20/0.70
% 0.20/0.70 % Result :Theorem 0.070000s
% 0.20/0.70 % Output :CNFRefutation 0.070000s
% 0.20/0.70 %-------------------------------------------
% 0.20/0.70 %--------------------------------------------------------------------------
% 0.20/0.70 % File : FLD019-3 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.20/0.70 % Domain : Field Theory (Ordered fields)
% 0.20/0.70 % Problem : If the additive inverse of a is zero, a itself is zero
% 0.20/0.70 % Version : [Dra93] axioms : Especial.
% 0.20/0.70 % Theorem formulation : Functional with re axiom set.
% 0.20/0.71 % English :
% 0.20/0.71
% 0.20/0.71 % Refs : [Dra93] Draeger (1993), Anwendung des Theorembeweisers SETHEO
% 0.20/0.71 % Source : [Dra93]
% 0.20/0.71 % Names :
% 0.20/0.71
% 0.20/0.71 % Status : Unsatisfiable
% 0.20/0.71 % Rating : 0.00 v2.1.0
% 0.20/0.71 % Syntax : Number of clauses : 29 ( 6 unt; 3 nHn; 29 RR)
% 0.20/0.71 % Number of literals : 80 ( 0 equ; 50 neg)
% 0.20/0.71 % Maximal clause size : 5 ( 2 avg)
% 0.20/0.71 % Maximal term depth : 2 ( 1 avg)
% 0.20/0.71 % Number of predicates : 4 ( 4 usr; 0 prp; 1-3 aty)
% 0.20/0.71 % Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% 0.20/0.71 % Number of variables : 73 ( 0 sgn)
% 0.20/0.71 % SPC : CNF_UNS_RFO_NEQ_NHN
% 0.20/0.71
% 0.20/0.71 % Comments :
% 0.20/0.71 % Bugfixes : v2.1.0 - Bugfix in FLD002-0.ax
% 0.20/0.71 %--------------------------------------------------------------------------
% 0.20/0.71 include('Axioms/FLD002-0.ax').
% 0.20/0.71 %--------------------------------------------------------------------------
% 0.20/0.71 cnf(a_is_defined,hypothesis,
% 0.20/0.71 defined(a) ).
% 0.20/0.71
% 0.20/0.71 cnf(sum_2,negated_conjecture,
% 0.20/0.71 sum(additive_identity,additive_inverse(a),additive_identity) ).
% 0.20/0.71
% 0.20/0.71 cnf(not_sum_3,negated_conjecture,
% 0.20/0.71 ~ sum(additive_identity,a,additive_identity) ).
% 0.20/0.71
% 0.20/0.71 %--------------------------------------------------------------------------
% 0.20/0.71 %-------------------------------------------
% 0.20/0.71 % Proof found
% 0.20/0.71 % SZS status Theorem for theBenchmark
% 0.20/0.71 % SZS output start Proof
% 0.20/0.71 %ClaNum:29(EqnAxiom:0)
% 0.20/0.71 %VarNum:162(SingletonVarNum:73)
% 0.20/0.71 %MaxLitNum:5
% 0.20/0.71 %MaxfuncDepth:1
% 0.20/0.71 %SharedTerms:10
% 0.20/0.71 %goalClause: 4 6
% 0.20/0.71 %singleGoalClaCount:2
% 0.20/0.71 [1]P1(a1)
% 0.20/0.71 [2]P1(a4)
% 0.20/0.71 [3]P1(a2)
% 0.20/0.71 [5]~P2(a1,a1,a4)
% 0.20/0.71 [6]~P2(a1,a2,a1)
% 0.20/0.71 [4]P2(a1,f5(a2),a1)
% 0.20/0.71 [12]~P1(x121)+P2(a1,x121,x121)
% 0.20/0.71 [13]~P1(x131)+P4(a4,x131,x131)
% 0.20/0.71 [7]~P1(x71)+P1(f5(x71))
% 0.20/0.71 [14]~P1(x141)+P2(f5(x141),x141,a1)
% 0.20/0.71 [21]~P2(x212,x211,x213)+P2(x211,x212,x213)
% 0.20/0.71 [22]~P4(x222,x221,x223)+P4(x221,x222,x223)
% 0.20/0.71 [15]~P1(x151)+P2(a1,x151,a1)+P1(f7(x151))
% 0.20/0.71 [19]~P1(x191)+P4(f7(x191),x191,a4)+P2(a1,x191,a1)
% 0.20/0.71 [18]~P3(x182,x181)+~P3(x181,x182)+P2(a1,x181,x182)
% 0.20/0.71 [9]~P1(x92)+~P1(x91)+P1(f3(x91,x92))
% 0.20/0.71 [10]~P1(x102)+~P1(x101)+P1(f6(x101,x102))
% 0.20/0.71 [16]~P1(x162)+~P1(x161)+P2(x161,x162,f3(x161,x162))
% 0.20/0.71 [17]~P1(x172)+~P1(x171)+P4(x171,x172,f6(x171,x172))
% 0.20/0.71 [11]~P3(x111,x113)+P3(x111,x112)+~P3(x113,x112)
% 0.20/0.71 [8]P3(x82,x81)+~P1(x81)+~P1(x82)+P3(x81,x82)
% 0.20/0.71 [20]~P4(x203,x202,x201)+P3(a1,x201)+~P3(a1,x202)+~P3(a1,x203)
% 0.20/0.71 [23]~P2(x233,x235,x231)+P3(x231,x232)+~P2(x234,x235,x232)+~P3(x233,x234)
% 0.20/0.71 [24]~P2(x241,x246,x244)+P2(x241,x242,x243)+~P2(x244,x245,x243)+~P2(x246,x245,x242)
% 0.20/0.71 [25]~P2(x256,x254,x251)+P2(x251,x252,x253)+~P2(x254,x252,x255)+~P2(x256,x255,x253)
% 0.20/0.71 [26]~P4(x261,x266,x264)+P4(x261,x262,x263)+~P4(x264,x265,x263)+~P4(x266,x265,x262)
% 0.20/0.71 [27]~P4(x276,x274,x271)+P4(x271,x272,x273)+~P4(x274,x272,x275)+~P4(x276,x275,x273)
% 0.20/0.71 [28]~P4(x285,x287,x282)+~P4(x284,x287,x281)+P2(x281,x282,x283)+~P2(x284,x285,x286)+~P4(x286,x287,x283)
% 0.20/0.71 [29]~P4(x297,x292,x295)+~P4(x296,x292,x294)+P4(x291,x292,x293)+~P2(x294,x295,x293)+~P2(x296,x297,x291)
% 0.20/0.71 %EqnAxiom
% 0.20/0.71
% 0.20/0.71 %-------------------------------------------
% 0.20/0.71 cnf(30,plain,
% 0.20/0.71 (~P2(a2,a1,a1)),
% 0.20/0.71 inference(scs_inference,[],[6,21])).
% 0.20/0.71 cnf(31,plain,
% 0.20/0.71 (~P2(f5(a2),a2,f5(a2))),
% 0.20/0.71 inference(scs_inference,[],[4,6,21,25])).
% 0.20/0.71 cnf(32,plain,
% 0.20/0.71 (P3(a1,a1)),
% 0.20/0.71 inference(scs_inference,[],[4,6,1,21,25,8])).
% 0.20/0.71 cnf(33,plain,
% 0.20/0.71 (P4(a4,a1,a1)),
% 0.20/0.71 inference(scs_inference,[],[4,6,1,21,25,8,13])).
% 0.20/0.71 cnf(35,plain,
% 0.20/0.71 (P2(a1,a1,a1)),
% 0.20/0.71 inference(scs_inference,[],[4,6,1,21,25,8,13,12])).
% 0.20/0.71 cnf(37,plain,
% 0.20/0.71 (P2(f5(a1),a1,a1)),
% 0.20/0.71 inference(scs_inference,[],[4,6,1,21,25,8,13,12,14])).
% 0.20/0.71 cnf(41,plain,
% 0.20/0.71 (P4(f7(a2),a2,a4)),
% 0.20/0.71 inference(scs_inference,[],[4,6,1,3,21,25,8,13,12,14,7,19])).
% 0.20/0.71 cnf(43,plain,
% 0.20/0.71 (P4(a1,a1,f6(a1,a1))),
% 0.20/0.71 inference(scs_inference,[],[4,6,1,3,21,25,8,13,12,14,7,19,17])).
% 0.20/0.71 cnf(45,plain,
% 0.20/0.71 (P2(a1,a1,f3(a1,a1))),
% 0.20/0.71 inference(scs_inference,[],[4,6,1,3,21,25,8,13,12,14,7,19,17,16])).
% 0.20/0.71 cnf(49,plain,
% 0.20/0.71 (P1(f6(a1,a1))),
% 0.20/0.71 inference(scs_inference,[],[4,6,1,3,21,25,8,13,12,14,7,19,17,16,15,10])).
% 0.20/0.71 cnf(55,plain,
% 0.20/0.71 (P4(a4,f6(a1,a1),f6(a1,a1))),
% 0.20/0.71 inference(scs_inference,[],[4,6,1,3,21,25,8,13,12,14,7,19,17,16,15,10,9,27,26])).
% 0.20/0.71 cnf(59,plain,
% 0.20/0.71 (P3(f3(a1,a1),f3(a1,a1))),
% 0.20/0.71 inference(scs_inference,[],[4,6,1,3,21,25,8,13,12,14,7,19,17,16,15,10,9,27,26,24,23])).
% 0.20/0.71 cnf(67,plain,
% 0.20/0.71 (~P4(a4,f6(a1,a1),a4)+~P2(a4,a4,x671)+P4(x671,a1,a1)),
% 0.20/0.71 inference(scs_inference,[],[4,6,1,3,5,21,25,8,13,12,14,7,19,17,16,15,10,9,27,26,24,23,20,28,18,29])).
% 0.20/0.71 cnf(69,plain,
% 0.20/0.71 (P4(f6(a1,a1),a4,f6(a1,a1))),
% 0.20/0.71 inference(scs_inference,[],[55,22])).
% 0.20/0.71 cnf(71,plain,
% 0.20/0.71 (P4(a4,a4,f6(a4,a4))),
% 0.20/0.71 inference(scs_inference,[],[2,55,22,17])).
% 0.20/0.71 cnf(73,plain,
% 0.20/0.71 (P2(a4,a4,f3(a4,a4))),
% 0.20/0.71 inference(scs_inference,[],[2,55,22,17,16])).
% 0.20/0.71 cnf(77,plain,
% 0.20/0.71 (P2(f5(a2),a1,a1)),
% 0.20/0.71 inference(scs_inference,[],[4,2,5,35,55,37,22,17,16,25,21])).
% 0.20/0.71 cnf(83,plain,
% 0.20/0.71 (~P2(a1,f5(a2),a4)),
% 0.20/0.71 inference(scs_inference,[],[4,2,5,35,55,37,22,17,16,25,21,10,9,24])).
% 0.20/0.71 cnf(85,plain,
% 0.20/0.71 (~P4(f3(a4,a4),a1,a4)),
% 0.20/0.71 inference(scs_inference,[],[4,2,5,35,55,37,33,22,17,16,25,21,10,9,24,28])).
% 0.20/0.71 cnf(89,plain,
% 0.20/0.71 (P2(a1,f3(a1,a1),f3(a1,a1))),
% 0.20/0.71 inference(scs_inference,[],[4,2,5,59,35,55,37,33,22,17,16,25,21,10,9,24,28,67,18])).
% 0.20/0.71 cnf(104,plain,
% 0.20/0.71 (~P4(a1,f3(a4,a4),a4)),
% 0.20/0.71 inference(scs_inference,[],[85,22])).
% 0.20/0.71 cnf(106,plain,
% 0.20/0.71 (P4(f3(a4,a4),a1,f3(a1,a1))),
% 0.20/0.71 inference(scs_inference,[],[85,45,73,33,22,29])).
% 0.20/0.71 cnf(110,plain,
% 0.20/0.71 (~P2(a2,f5(a2),f5(a2))),
% 0.20/0.71 inference(scs_inference,[],[77,31,85,45,73,83,33,4,22,29,25,21])).
% 0.20/0.71 cnf(112,plain,
% 0.20/0.71 (P2(f5(a2),f3(a1,a1),f3(a1,a1))),
% 0.20/0.71 inference(scs_inference,[],[77,89,31,85,45,73,83,33,4,22,29,25,21,24])).
% 0.20/0.71 cnf(126,plain,
% 0.20/0.71 (P4(a1,f3(a4,a4),f3(a1,a1))),
% 0.20/0.71 inference(scs_inference,[],[106,22])).
% 0.20/0.71 cnf(128,plain,
% 0.20/0.71 (P2(f6(a1,a1),f6(a1,a1),f6(a1,a1))),
% 0.20/0.71 inference(scs_inference,[],[106,35,43,22,28])).
% 0.20/0.71 cnf(130,plain,
% 0.20/0.71 (P2(f3(a1,a1),f3(a1,a1),f3(a1,a1))),
% 0.20/0.72 inference(scs_inference,[],[106,89,45,35,43,22,28,25])).
% 0.20/0.72 cnf(132,plain,
% 0.20/0.72 (~P4(a4,f3(a1,a1),a4)),
% 0.20/0.72 inference(scs_inference,[],[106,104,89,45,35,33,43,22,28,25,27])).
% 0.20/0.72 cnf(134,plain,
% 0.20/0.72 (~P2(a2,f5(a1),f5(a1))),
% 0.20/0.72 inference(scs_inference,[],[30,106,104,89,45,37,35,33,43,22,28,25,27,24])).
% 0.20/0.72 cnf(140,plain,
% 0.20/0.72 (~P2(f3(a1,a1),f3(a1,a1),a4)),
% 0.20/0.72 inference(scs_inference,[],[30,112,106,104,32,89,45,37,35,33,43,22,28,25,27,24,21,20,29])).
% 0.20/0.72 cnf(154,plain,
% 0.20/0.72 (~P4(f3(a1,a1),f3(a4,a4),a4)),
% 0.20/0.72 inference(scs_inference,[],[126,140,45,28])).
% 0.20/0.72 cnf(158,plain,
% 0.20/0.72 (~P4(f3(a1,a1),a4,a4)),
% 0.20/0.72 inference(scs_inference,[],[126,140,132,45,35,28,25,22])).
% 0.20/0.72 cnf(160,plain,
% 0.20/0.72 (P4(f3(a1,a1),f3(a4,a4),f3(a1,a1))),
% 0.20/0.72 inference(scs_inference,[],[130,126,140,132,45,35,28,25,22,29])).
% 0.20/0.72 cnf(170,plain,
% 0.20/0.72 (P4(a4,a2,a2)),
% 0.20/0.72 inference(scs_inference,[],[3,5,130,126,140,134,132,69,41,71,45,35,28,25,22,29,26,27,24,21,13])).
% 0.20/0.72 cnf(172,plain,
% 0.20/0.72 (P2(f5(a2),a2,a1)),
% 0.20/0.72 inference(scs_inference,[],[3,5,130,126,140,134,132,69,41,71,45,35,28,25,22,29,26,27,24,21,13,14])).
% 0.20/0.72 cnf(176,plain,
% 0.20/0.72 (P2(a1,a2,a2)),
% 0.20/0.72 inference(scs_inference,[],[3,5,130,126,140,134,132,69,41,71,45,35,28,25,22,29,26,27,24,21,13,14,7,12])).
% 0.20/0.72 cnf(186,plain,
% 0.20/0.72 (P4(f3(a4,a4),f3(a1,a1),f3(a1,a1))),
% 0.20/0.72 inference(scs_inference,[],[30,160,176,4,25,22])).
% 0.20/0.72 cnf(190,plain,
% 0.20/0.72 (~P4(f3(a1,a1),f7(a2),f7(a2))),
% 0.20/0.72 inference(scs_inference,[],[30,160,158,176,128,73,41,55,4,25,22,29,26])).
% 0.20/0.72 cnf(192,plain,
% 0.20/0.72 (P4(f6(a4,a4),a2,a2)),
% 0.20/0.72 inference(scs_inference,[],[30,160,158,170,176,128,73,41,71,55,4,25,22,29,26,27])).
% 0.20/0.72 cnf(196,plain,
% 0.20/0.72 (P2(a2,f5(a2),a1)),
% 0.20/0.72 inference(scs_inference,[],[30,31,160,158,172,170,176,128,73,41,71,77,55,4,25,22,29,26,27,24,21])).
% 0.20/0.72 cnf(198,plain,
% 0.20/0.72 (P4(a2,a2,f6(a2,a2))),
% 0.20/0.72 inference(scs_inference,[],[30,31,3,160,158,172,170,176,128,73,41,71,77,55,4,25,22,29,26,27,24,21,17])).
% 0.20/0.72 cnf(200,plain,
% 0.20/0.72 (P2(a2,a2,f3(a2,a2))),
% 0.20/0.72 inference(scs_inference,[],[30,31,3,160,158,172,170,176,128,73,41,71,77,55,4,25,22,29,26,27,24,21,17,16])).
% 0.20/0.72 cnf(216,plain,
% 0.20/0.72 (P2(f6(a1,a1),f6(a1,a1),f3(f6(a1,a1),f6(a1,a1)))),
% 0.20/0.72 inference(scs_inference,[],[49,16])).
% 0.20/0.72 cnf(226,plain,
% 0.20/0.72 (~P2(a1,a1,f5(a2))),
% 0.20/0.72 inference(scs_inference,[],[110,49,190,196,176,16,17,10,9,22,25])).
% 0.20/0.72 cnf(228,plain,
% 0.20/0.72 (P4(f6(a4,a4),f6(a2,a2),f6(a2,a2))),
% 0.20/0.72 inference(scs_inference,[],[110,49,190,192,196,198,176,16,17,10,9,22,25,26])).
% 0.20/0.72 cnf(230,plain,
% 0.20/0.72 (P2(a1,f3(a2,a2),f3(a2,a2))),
% 0.20/0.72 inference(scs_inference,[],[110,49,190,192,196,198,200,176,16,17,10,9,22,25,26,24])).
% 0.20/0.72 cnf(250,plain,
% 0.20/0.72 (~P4(f3(a4,a4),a1,f5(a2))),
% 0.20/0.72 inference(scs_inference,[],[32,228,230,226,73,33,45,23,22,25,28])).
% 0.20/0.72 cnf(256,plain,
% 0.20/0.72 (~P2(f3(a2,a2),f5(a2),a1)),
% 0.20/0.72 inference(scs_inference,[],[32,30,154,228,230,226,196,186,160,200,73,33,45,23,22,25,28,27,21,24])).
% 0.20/0.72 cnf(258,plain,
% 0.20/0.72 (P3(a4,a4)),
% 0.20/0.72 inference(scs_inference,[],[2,32,30,154,228,230,226,196,186,160,200,73,33,45,23,22,25,28,27,21,24,8])).
% 0.20/0.72 cnf(282,plain,
% 0.20/0.72 ($false),
% 0.20/0.72 inference(scs_inference,[],[30,33,216,258,250,256,172,196,77,73,126,55,43,6,35,22,29,25,18,28,26,21,24]),
% 0.20/0.72 ['proof']).
% 0.20/0.72 % SZS output end Proof
% 0.20/0.72 % Total time :0.070000s
%------------------------------------------------------------------------------