TSTP Solution File: FLD065-3 by CSE---1.6
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : FLD065-3 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% Computer : n011.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 22:26:55 EDT 2023
% Result : Unsatisfiable 0.53s 0.76s
% Output : CNFRefutation 0.54s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : FLD065-3 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.03/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.13/0.34 % Computer : n011.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 00:35:10 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.57 start to proof:theBenchmark
% 0.53/0.75 %-------------------------------------------
% 0.53/0.75 % File :CSE---1.6
% 0.53/0.75 % Problem :theBenchmark
% 0.53/0.75 % Transform :cnf
% 0.53/0.75 % Format :tptp:raw
% 0.53/0.75 % Command :java -jar mcs_scs.jar %d %s
% 0.53/0.75
% 0.53/0.75 % Result :Theorem 0.130000s
% 0.53/0.75 % Output :CNFRefutation 0.130000s
% 0.53/0.75 %-------------------------------------------
% 0.53/0.75 %--------------------------------------------------------------------------
% 0.53/0.75 % File : FLD065-3 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.53/0.75 % Domain : Field Theory (Ordered fields)
% 0.53/0.75 % Problem : Side change of a term in an order relation, part 2
% 0.53/0.75 % Version : [Dra93] axioms : Especial.
% 0.53/0.75 % Theorem formulation : Functional with re axiom set.
% 0.53/0.75 % English :
% 0.53/0.75
% 0.53/0.75 % Refs : [Dra93] Draeger (1993), Anwendung des Theorembeweisers SETHEO
% 0.53/0.75 % Source : [Dra93]
% 0.53/0.75 % Names :
% 0.53/0.75
% 0.53/0.75 % Status : Unsatisfiable
% 0.53/0.75 % Rating : 0.00 v5.5.0, 0.12 v5.4.0, 0.10 v5.2.0, 0.00 v5.0.0, 0.07 v4.1.0, 0.00 v4.0.1, 0.20 v4.0.0, 0.14 v3.4.0, 0.25 v3.3.0, 0.33 v3.1.0, 0.17 v2.7.0, 0.00 v2.6.0, 0.33 v2.5.0, 0.00 v2.1.0
% 0.53/0.76 % Syntax : Number of clauses : 29 ( 6 unt; 3 nHn; 29 RR)
% 0.53/0.76 % Number of literals : 80 ( 0 equ; 50 neg)
% 0.53/0.76 % Maximal clause size : 5 ( 2 avg)
% 0.53/0.76 % Maximal term depth : 2 ( 1 avg)
% 0.53/0.76 % Number of predicates : 4 ( 4 usr; 0 prp; 1-3 aty)
% 0.53/0.76 % Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% 0.53/0.76 % Number of variables : 73 ( 0 sgn)
% 0.53/0.76 % SPC : CNF_UNS_RFO_NEQ_NHN
% 0.53/0.76
% 0.53/0.76 % Comments :
% 0.53/0.76 % Bugfixes : v2.1.0 - Bugfix in FLD002-0.ax
% 0.53/0.76 %--------------------------------------------------------------------------
% 0.53/0.76 include('Axioms/FLD002-0.ax').
% 0.53/0.76 %--------------------------------------------------------------------------
% 0.53/0.76 cnf(a_is_defined,hypothesis,
% 0.53/0.76 defined(a) ).
% 0.53/0.76
% 0.53/0.76 cnf(less_or_equal_2,negated_conjecture,
% 0.53/0.76 less_or_equal(additive_inverse(a),additive_identity) ).
% 0.53/0.76
% 0.53/0.76 cnf(not_less_or_equal_3,negated_conjecture,
% 0.53/0.76 ~ less_or_equal(additive_identity,a) ).
% 0.53/0.76
% 0.53/0.76 %--------------------------------------------------------------------------
% 0.53/0.76 %-------------------------------------------
% 0.53/0.76 % Proof found
% 0.53/0.76 % SZS status Theorem for theBenchmark
% 0.53/0.76 % SZS output start Proof
% 0.53/0.76 %ClaNum:29(EqnAxiom:0)
% 0.53/0.76 %VarNum:162(SingletonVarNum:73)
% 0.53/0.76 %MaxLitNum:5
% 0.53/0.76 %MaxfuncDepth:1
% 0.53/0.76 %SharedTerms:10
% 0.53/0.76 %goalClause: 4 5
% 0.53/0.76 %singleGoalClaCount:2
% 0.53/0.76 [1]P1(a1)
% 0.53/0.76 [2]P1(a4)
% 0.53/0.76 [3]P1(a2)
% 0.53/0.76 [5]~P2(a1,a2)
% 0.53/0.76 [6]~P3(a1,a1,a4)
% 0.53/0.76 [4]P2(f5(a2),a1)
% 0.53/0.76 [12]~P1(x121)+P3(a1,x121,x121)
% 0.53/0.76 [13]~P1(x131)+P4(a4,x131,x131)
% 0.54/0.76 [7]~P1(x71)+P1(f5(x71))
% 0.54/0.76 [14]~P1(x141)+P3(f5(x141),x141,a1)
% 0.54/0.76 [21]~P3(x212,x211,x213)+P3(x211,x212,x213)
% 0.54/0.76 [22]~P4(x222,x221,x223)+P4(x221,x222,x223)
% 0.54/0.76 [15]~P1(x151)+P3(a1,x151,a1)+P1(f7(x151))
% 0.54/0.76 [19]~P1(x191)+P4(f7(x191),x191,a4)+P3(a1,x191,a1)
% 0.54/0.76 [18]~P2(x182,x181)+~P2(x181,x182)+P3(a1,x181,x182)
% 0.54/0.76 [9]~P1(x92)+~P1(x91)+P1(f3(x91,x92))
% 0.54/0.76 [10]~P1(x102)+~P1(x101)+P1(f6(x101,x102))
% 0.54/0.76 [16]~P1(x162)+~P1(x161)+P3(x161,x162,f3(x161,x162))
% 0.54/0.76 [17]~P1(x172)+~P1(x171)+P4(x171,x172,f6(x171,x172))
% 0.54/0.76 [11]~P2(x111,x113)+P2(x111,x112)+~P2(x113,x112)
% 0.54/0.76 [8]P2(x82,x81)+~P1(x81)+~P1(x82)+P2(x81,x82)
% 0.54/0.76 [20]~P4(x203,x202,x201)+P2(a1,x201)+~P2(a1,x202)+~P2(a1,x203)
% 0.54/0.76 [23]~P3(x233,x235,x231)+P2(x231,x232)+~P3(x234,x235,x232)+~P2(x233,x234)
% 0.54/0.76 [24]~P3(x241,x246,x244)+P3(x241,x242,x243)+~P3(x244,x245,x243)+~P3(x246,x245,x242)
% 0.54/0.76 [25]~P3(x256,x254,x251)+P3(x251,x252,x253)+~P3(x254,x252,x255)+~P3(x256,x255,x253)
% 0.54/0.76 [26]~P4(x261,x266,x264)+P4(x261,x262,x263)+~P4(x264,x265,x263)+~P4(x266,x265,x262)
% 0.54/0.76 [27]~P4(x276,x274,x271)+P4(x271,x272,x273)+~P4(x274,x272,x275)+~P4(x276,x275,x273)
% 0.54/0.76 [28]~P4(x285,x287,x282)+~P4(x284,x287,x281)+P3(x281,x282,x283)+~P3(x284,x285,x286)+~P4(x286,x287,x283)
% 0.54/0.76 [29]~P4(x297,x292,x295)+~P4(x296,x292,x294)+P4(x291,x292,x293)+~P3(x294,x295,x293)+~P3(x296,x297,x291)
% 0.54/0.76 %EqnAxiom
% 0.54/0.76
% 0.54/0.76 %-------------------------------------------
% 0.54/0.76 cnf(30,plain,
% 0.54/0.76 (P2(a1,a1)),
% 0.54/0.76 inference(scs_inference,[],[1,8])).
% 0.54/0.76 cnf(31,plain,
% 0.54/0.76 (P4(a4,a1,a1)),
% 0.54/0.76 inference(scs_inference,[],[1,8,13])).
% 0.54/0.76 cnf(32,plain,
% 0.54/0.76 (P3(a1,a1,a1)),
% 0.54/0.76 inference(scs_inference,[],[1,8,13,12])).
% 0.54/0.76 cnf(34,plain,
% 0.54/0.76 (P3(f5(a1),a1,a1)),
% 0.54/0.76 inference(scs_inference,[],[1,8,13,12,14])).
% 0.54/0.76 cnf(40,plain,
% 0.54/0.76 (P4(a1,a1,f6(a1,a1))),
% 0.54/0.76 inference(scs_inference,[],[4,1,8,13,12,14,7,18,17])).
% 0.54/0.76 cnf(42,plain,
% 0.54/0.76 (P3(a1,a1,f3(a1,a1))),
% 0.54/0.76 inference(scs_inference,[],[4,1,8,13,12,14,7,18,17,16])).
% 0.54/0.76 cnf(44,plain,
% 0.54/0.76 (P1(f6(a1,a1))),
% 0.54/0.76 inference(scs_inference,[],[4,1,8,13,12,14,7,18,17,16,10])).
% 0.54/0.76 cnf(46,plain,
% 0.54/0.76 (P1(f3(a1,a1))),
% 0.54/0.76 inference(scs_inference,[],[4,1,8,13,12,14,7,18,17,16,10,9])).
% 0.54/0.76 cnf(48,plain,
% 0.54/0.76 (P4(a4,f6(a1,a1),f6(a1,a1))),
% 0.54/0.76 inference(scs_inference,[],[4,1,8,13,12,14,7,18,17,16,10,9,26])).
% 0.54/0.76 cnf(52,plain,
% 0.54/0.76 (~P3(f3(a1,a1),a1,a4)),
% 0.54/0.76 inference(scs_inference,[],[4,1,6,8,13,12,14,7,18,17,16,10,9,26,25,24])).
% 0.54/0.76 cnf(54,plain,
% 0.54/0.76 (P2(f3(a1,a1),f3(a1,a1))),
% 0.54/0.76 inference(scs_inference,[],[4,1,6,8,13,12,14,7,18,17,16,10,9,26,25,24,23])).
% 0.54/0.76 cnf(56,plain,
% 0.54/0.76 (P2(a1,f6(a1,a1))),
% 0.54/0.76 inference(scs_inference,[],[4,1,6,8,13,12,14,7,18,17,16,10,9,26,25,24,23,20])).
% 0.54/0.76 cnf(58,plain,
% 0.54/0.76 (P3(f6(a1,a1),f6(a1,a1),f6(a1,a1))),
% 0.54/0.76 inference(scs_inference,[],[4,1,6,8,13,12,14,7,18,17,16,10,9,26,25,24,23,20,28])).
% 0.54/0.76 cnf(60,plain,
% 0.54/0.76 (~P3(a1,f5(a1),a4)),
% 0.54/0.76 inference(scs_inference,[],[4,1,6,8,13,12,14,7,18,17,16,10,9,26,25,24,23,20,28,21])).
% 0.54/0.76 cnf(66,plain,
% 0.54/0.76 (~P3(a4,a4,x661)+P4(x661,a1,a1)),
% 0.54/0.76 inference(scs_inference,[],[4,1,2,6,8,13,12,14,7,18,17,16,10,9,26,25,24,23,20,28,21,19,15,29])).
% 0.54/0.76 cnf(68,plain,
% 0.54/0.76 (P4(f6(a1,a1),a4,f6(a1,a1))),
% 0.54/0.76 inference(scs_inference,[],[48,22])).
% 0.54/0.76 cnf(72,plain,
% 0.54/0.76 (P3(a1,f5(a1),a1)),
% 0.54/0.76 inference(scs_inference,[],[4,48,56,34,22,11,21])).
% 0.54/0.76 cnf(84,plain,
% 0.54/0.76 (P1(f6(a2,a2))),
% 0.54/0.76 inference(scs_inference,[],[4,3,5,1,54,48,56,34,22,11,21,9,18,8,17,16,10])).
% 0.54/0.76 cnf(88,plain,
% 0.54/0.76 (P3(f3(a1,a1),a1,f3(a1,a1))),
% 0.54/0.76 inference(scs_inference,[],[4,3,5,1,54,48,56,34,40,42,22,11,21,9,18,8,17,16,10,27,25])).
% 0.54/0.76 cnf(104,plain,
% 0.54/0.76 (P2(a2,f6(a1,a1))),
% 0.54/0.76 inference(scs_inference,[],[5,3,44,56,11,8])).
% 0.54/0.76 cnf(118,plain,
% 0.54/0.76 (~P3(a1,f5(a1),a2)),
% 0.54/0.76 inference(scs_inference,[],[5,30,3,44,88,52,72,31,56,32,40,11,8,25,20,21,24,27,29,23])).
% 0.54/0.76 cnf(120,plain,
% 0.54/0.77 (~P4(f6(a1,a1),a4,a2)),
% 0.54/0.77 inference(scs_inference,[],[5,30,3,68,44,88,52,72,31,58,56,32,40,11,8,25,20,21,24,27,29,23,28])).
% 0.54/0.77 cnf(128,plain,
% 0.54/0.77 (P4(a1,a4,a1)),
% 0.54/0.77 inference(scs_inference,[],[31,22])).
% 0.54/0.77 cnf(154,plain,
% 0.54/0.77 (P4(a4,a4,a4)),
% 0.54/0.77 inference(scs_inference,[],[2,30,120,118,32,5,22,21,23,13])).
% 0.54/0.77 cnf(156,plain,
% 0.54/0.77 (P1(f5(a4))),
% 0.54/0.77 inference(scs_inference,[],[2,30,120,118,32,5,22,21,23,13,7])).
% 0.54/0.77 cnf(158,plain,
% 0.54/0.77 (P3(f5(a4),a4,a1)),
% 0.54/0.77 inference(scs_inference,[],[2,30,120,118,32,5,22,21,23,13,7,14])).
% 0.54/0.77 cnf(160,plain,
% 0.54/0.77 (P3(a1,a4,a4)),
% 0.54/0.77 inference(scs_inference,[],[2,30,120,118,32,5,22,21,23,13,7,14,12])).
% 0.54/0.77 cnf(188,plain,
% 0.54/0.77 (P4(a4,a4,f6(a4,a4))),
% 0.54/0.77 inference(scs_inference,[],[31,2,160,40,28,17])).
% 0.54/0.77 cnf(192,plain,
% 0.54/0.77 (~P3(f5(a1),a4,a1)),
% 0.54/0.77 inference(scs_inference,[],[31,6,2,160,56,72,40,5,28,17,20,24])).
% 0.54/0.77 cnf(196,plain,
% 0.54/0.77 (P4(a4,f6(a4,a4),f6(a4,a4))),
% 0.54/0.77 inference(scs_inference,[],[31,6,2,158,154,160,56,72,40,5,28,17,20,24,21,26])).
% 0.54/0.77 cnf(200,plain,
% 0.54/0.77 (P3(a4,a4,f3(a4,a4))),
% 0.54/0.77 inference(scs_inference,[],[31,6,2,158,154,160,56,72,40,5,28,17,20,24,21,26,9,16])).
% 0.54/0.77 cnf(202,plain,
% 0.54/0.77 (P1(f6(a4,a4))),
% 0.54/0.77 inference(scs_inference,[],[31,6,2,158,154,160,56,72,40,5,28,17,20,24,21,26,9,16,10])).
% 0.54/0.77 cnf(208,plain,
% 0.54/0.77 (~P3(f6(a1,a1),f3(a1,a1),a4)),
% 0.54/0.77 inference(scs_inference,[],[31,6,2,158,154,160,104,56,72,42,40,5,28,17,20,24,21,26,9,16,10,22,11,25])).
% 0.54/0.77 cnf(218,plain,
% 0.54/0.77 (P4(f3(a4,a4),a1,a1)),
% 0.54/0.77 inference(scs_inference,[],[200,66])).
% 0.54/0.77 cnf(222,plain,
% 0.54/0.77 (P3(f6(a4,a4),f6(a4,a4),f3(f6(a4,a4),f6(a4,a4)))),
% 0.54/0.77 inference(scs_inference,[],[202,200,66,9,16])).
% 0.54/0.77 cnf(228,plain,
% 0.54/0.77 (P4(f6(a4,a4),a1,a1)),
% 0.54/0.77 inference(scs_inference,[],[31,6,202,200,188,66,9,16,10,28,27])).
% 0.54/0.77 cnf(232,plain,
% 0.54/0.77 (P4(f3(a4,a4),f6(a4,a4),f3(f6(a4,a4),f6(a4,a4)))),
% 0.54/0.77 inference(scs_inference,[],[31,6,202,196,200,188,66,9,16,10,28,27,17,29])).
% 0.54/0.77 cnf(236,plain,
% 0.54/0.77 (~P3(a1,f5(a4),a1)),
% 0.54/0.77 inference(scs_inference,[],[31,6,202,208,196,200,188,158,160,66,9,16,10,28,27,17,29,21,24])).
% 0.54/0.77 cnf(238,plain,
% 0.54/0.77 (~P3(a1,f5(a4),f5(a1))),
% 0.54/0.77 inference(scs_inference,[],[32,31,6,202,208,196,200,188,192,158,160,66,9,16,10,28,27,17,29,21,24,25])).
% 0.54/0.77 cnf(254,plain,
% 0.54/0.77 (P4(f6(a4,a4),f3(a4,a4),f3(f6(a4,a4),f6(a4,a4)))),
% 0.54/0.77 inference(scs_inference,[],[232,22])).
% 0.54/0.77 cnf(256,plain,
% 0.54/0.77 (~P4(a1,a4,a4)),
% 0.54/0.77 inference(scs_inference,[],[32,6,232,128,22,28])).
% 0.54/0.77 cnf(260,plain,
% 0.54/0.77 (P3(a1,f3(a4,a4),f3(a4,a4))),
% 0.54/0.77 inference(scs_inference,[],[32,6,232,128,200,42,160,22,28,29,24])).
% 0.54/0.77 cnf(279,plain,
% 0.54/0.77 (~P4(f3(f6(a4,a4),f6(a4,a4)),a1,a4)),
% 0.54/0.77 inference(scs_inference,[],[6,222,228,256,188,128,27,22,28])).
% 0.54/0.77 cnf(289,plain,
% 0.54/0.77 (P4(f3(a4,a4),f6(a1,a1),f6(a1,a1))),
% 0.54/0.77 inference(scs_inference,[],[34,32,6,222,218,46,260,228,256,238,188,40,128,27,22,28,17,21,29,24,26])).
% 0.54/0.77 cnf(293,plain,
% 0.54/0.77 (P3(f5(a2),a2,a1)),
% 0.54/0.77 inference(scs_inference,[],[3,34,32,6,222,218,46,260,228,256,238,188,40,128,27,22,28,17,21,29,24,26,7,14])).
% 0.54/0.77 cnf(297,plain,
% 0.54/0.77 (P3(a1,a2,a2)),
% 0.54/0.77 inference(scs_inference,[],[3,34,32,6,222,218,46,260,228,256,238,188,40,128,27,22,28,17,21,29,24,26,7,14,13,12])).
% 0.54/0.77 cnf(333,plain,
% 0.54/0.77 ($false),
% 0.54/0.77 inference(scs_inference,[],[254,289,297,84,279,293,218,156,236,60,154,4,200,160,128,5,19,27,22,28,17,21,29,23]),
% 0.54/0.77 ['proof']).
% 0.54/0.77 % SZS output end Proof
% 0.54/0.77 % Total time :0.130000s
%------------------------------------------------------------------------------