TSTP Solution File: FLD070-4 by CSE---1.6
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : FLD070-4 : 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 : n027.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 22:26:58 EDT 2023
% Result : Unsatisfiable 1.44s 1.54s
% Output : CNFRefutation 1.44s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : FLD070-4 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.17/0.34 % Computer : n027.cluster.edu
% 0.17/0.34 % Model : x86_64 x86_64
% 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.34 % Memory : 8042.1875MB
% 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.34 % CPULimit : 300
% 0.17/0.34 % WCLimit : 300
% 0.17/0.34 % DateTime : Mon Aug 28 00:37:51 EDT 2023
% 0.17/0.34 % CPUTime :
% 0.20/0.60 start to proof:theBenchmark
% 1.44/1.54 %-------------------------------------------
% 1.44/1.54 % File :CSE---1.6
% 1.44/1.54 % Problem :theBenchmark
% 1.44/1.54 % Transform :cnf
% 1.44/1.54 % Format :tptp:raw
% 1.44/1.54 % Command :java -jar mcs_scs.jar %d %s
% 1.44/1.54
% 1.44/1.54 % Result :Theorem 0.860000s
% 1.44/1.54 % Output :CNFRefutation 0.860000s
% 1.44/1.54 %-------------------------------------------
% 1.44/1.54 %--------------------------------------------------------------------------
% 1.44/1.54 % File : FLD070-4 : TPTP v8.1.2. Bugfixed v2.1.0.
% 1.44/1.54 % Domain : Field Theory (Ordered fields)
% 1.44/1.54 % Problem : One-sided addition of two order relations
% 1.44/1.54 % Version : [Dra93] axioms : Especial.
% 1.44/1.54 % Theorem formulation : Relational with re axiom set.
% 1.44/1.54 % English :
% 1.44/1.54
% 1.44/1.54 % Refs : [Dra93] Draeger (1993), Anwendung des Theorembeweisers SETHEO
% 1.44/1.54 % Source : [Dra93]
% 1.44/1.54 % Names :
% 1.44/1.54
% 1.44/1.54 % Status : Unsatisfiable
% 1.44/1.54 % Rating : 0.00 v5.5.0, 0.12 v5.4.0, 0.10 v5.2.0, 0.00 v3.1.0, 0.17 v2.7.0, 0.00 v2.6.0, 0.33 v2.5.0, 0.00 v2.4.0, 0.00 v2.2.1, 0.33 v2.1.0
% 1.44/1.54 % Syntax : Number of clauses : 33 ( 10 unt; 3 nHn; 33 RR)
% 1.44/1.54 % Number of literals : 84 ( 0 equ; 50 neg)
% 1.44/1.54 % Maximal clause size : 5 ( 2 avg)
% 1.44/1.54 % Maximal term depth : 2 ( 1 avg)
% 1.44/1.54 % Number of predicates : 4 ( 4 usr; 0 prp; 1-3 aty)
% 1.44/1.54 % Number of functors : 9 ( 9 usr; 5 con; 0-2 aty)
% 1.44/1.54 % Number of variables : 73 ( 0 sgn)
% 1.44/1.54 % SPC : CNF_UNS_RFO_NEQ_NHN
% 1.44/1.54
% 1.44/1.54 % Comments :
% 1.44/1.54 % Bugfixes : v2.1.0 - Bugfix in FLD002-0.ax
% 1.44/1.54 %--------------------------------------------------------------------------
% 1.44/1.54 include('Axioms/FLD002-0.ax').
% 1.44/1.54 %--------------------------------------------------------------------------
% 1.44/1.54 cnf(a_is_defined,hypothesis,
% 1.44/1.54 defined(a) ).
% 1.44/1.54
% 1.44/1.54 cnf(b_is_defined,hypothesis,
% 1.44/1.54 defined(b) ).
% 1.44/1.54
% 1.44/1.54 cnf(c_is_defined,hypothesis,
% 1.44/1.54 defined(c) ).
% 1.44/1.54
% 1.44/1.54 cnf(less_or_equal_4,negated_conjecture,
% 1.44/1.54 less_or_equal(additive_identity,a) ).
% 1.44/1.54
% 1.44/1.54 cnf(less_or_equal_5,negated_conjecture,
% 1.44/1.54 less_or_equal(additive_identity,b) ).
% 1.44/1.54
% 1.44/1.54 cnf(sum_6,negated_conjecture,
% 1.44/1.54 sum(a,b,c) ).
% 1.44/1.54
% 1.44/1.54 cnf(not_less_or_equal_7,negated_conjecture,
% 1.44/1.54 ~ less_or_equal(additive_identity,c) ).
% 1.44/1.54
% 1.44/1.54 %--------------------------------------------------------------------------
% 1.44/1.54 %-------------------------------------------
% 1.44/1.54 % Proof found
% 1.44/1.54 % SZS status Theorem for theBenchmark
% 1.44/1.54 % SZS output start Proof
% 1.44/1.54 %ClaNum:33(EqnAxiom:0)
% 1.44/1.54 %VarNum:162(SingletonVarNum:73)
% 1.44/1.54 %MaxLitNum:5
% 1.44/1.54 %MaxfuncDepth:1
% 1.44/1.54 %SharedTerms:15
% 1.44/1.54 %goalClause: 6 7 8 9
% 1.44/1.54 %singleGoalClaCount:4
% 1.44/1.54 [1]P1(a1)
% 1.44/1.54 [2]P1(a4)
% 1.44/1.54 [3]P1(a2)
% 1.44/1.54 [4]P1(a5)
% 1.44/1.54 [5]P1(a7)
% 1.44/1.54 [6]P2(a1,a2)
% 1.44/1.54 [7]P2(a1,a5)
% 1.44/1.54 [8]P3(a2,a5,a7)
% 1.44/1.54 [9]~P2(a1,a7)
% 1.44/1.54 [10]~P3(a1,a1,a4)
% 1.44/1.55 [16]~P1(x161)+P3(a1,x161,x161)
% 1.44/1.55 [17]~P1(x171)+P4(a4,x171,x171)
% 1.44/1.55 [11]~P1(x111)+P1(f6(x111))
% 1.44/1.55 [18]~P1(x181)+P3(f6(x181),x181,a1)
% 1.44/1.55 [25]~P3(x252,x251,x253)+P3(x251,x252,x253)
% 1.44/1.55 [26]~P4(x262,x261,x263)+P4(x261,x262,x263)
% 1.44/1.55 [19]~P1(x191)+P3(a1,x191,a1)+P1(f9(x191))
% 1.44/1.55 [23]~P1(x231)+P4(f9(x231),x231,a4)+P3(a1,x231,a1)
% 1.44/1.55 [22]~P2(x222,x221)+~P2(x221,x222)+P3(a1,x221,x222)
% 1.44/1.55 [13]~P1(x132)+~P1(x131)+P1(f3(x131,x132))
% 1.44/1.55 [14]~P1(x142)+~P1(x141)+P1(f8(x141,x142))
% 1.44/1.55 [20]~P1(x202)+~P1(x201)+P3(x201,x202,f3(x201,x202))
% 1.44/1.55 [21]~P1(x212)+~P1(x211)+P4(x211,x212,f8(x211,x212))
% 1.44/1.55 [15]~P2(x151,x153)+P2(x151,x152)+~P2(x153,x152)
% 1.44/1.55 [12]P2(x122,x121)+~P1(x121)+~P1(x122)+P2(x121,x122)
% 1.44/1.55 [24]~P4(x243,x242,x241)+P2(a1,x241)+~P2(a1,x242)+~P2(a1,x243)
% 1.44/1.55 [27]~P3(x273,x275,x271)+P2(x271,x272)+~P3(x274,x275,x272)+~P2(x273,x274)
% 1.44/1.55 [28]~P3(x281,x286,x284)+P3(x281,x282,x283)+~P3(x284,x285,x283)+~P3(x286,x285,x282)
% 1.44/1.55 [29]~P3(x296,x294,x291)+P3(x291,x292,x293)+~P3(x294,x292,x295)+~P3(x296,x295,x293)
% 1.44/1.55 [30]~P4(x301,x306,x304)+P4(x301,x302,x303)+~P4(x304,x305,x303)+~P4(x306,x305,x302)
% 1.44/1.55 [31]~P4(x316,x314,x311)+P4(x311,x312,x313)+~P4(x314,x312,x315)+~P4(x316,x315,x313)
% 1.44/1.55 [32]~P4(x325,x327,x322)+~P4(x324,x327,x321)+P3(x321,x322,x323)+~P3(x324,x325,x326)+~P4(x326,x327,x323)
% 1.44/1.55 [33]~P4(x337,x332,x335)+~P4(x336,x332,x334)+P4(x331,x332,x333)+~P3(x334,x335,x333)+~P3(x336,x337,x331)
% 1.44/1.55 %EqnAxiom
% 1.44/1.55
% 1.44/1.55 %-------------------------------------------
% 1.44/1.55 cnf(34,plain,
% 1.44/1.55 (~P3(a1,a5,a1)),
% 1.44/1.55 inference(scs_inference,[],[6,8,9,27])).
% 1.44/1.55 cnf(36,plain,
% 1.44/1.55 (P2(a1,a1)),
% 1.44/1.55 inference(scs_inference,[],[6,8,9,1,27,24,12])).
% 1.44/1.55 cnf(37,plain,
% 1.44/1.55 (P3(a5,a2,a7)),
% 1.44/1.55 inference(scs_inference,[],[6,8,9,1,27,24,12,25])).
% 1.44/1.55 cnf(39,plain,
% 1.44/1.55 (P4(a4,a1,a1)),
% 1.44/1.55 inference(scs_inference,[],[6,8,9,1,27,24,12,25,17])).
% 1.44/1.55 cnf(41,plain,
% 1.44/1.55 (P3(a1,a1,a1)),
% 1.44/1.55 inference(scs_inference,[],[6,8,9,1,27,24,12,25,17,16])).
% 1.44/1.55 cnf(43,plain,
% 1.44/1.55 (P3(f6(a1),a1,a1)),
% 1.44/1.55 inference(scs_inference,[],[6,8,9,1,27,24,12,25,17,16,18])).
% 1.44/1.55 cnf(49,plain,
% 1.44/1.55 (~P2(a2,a7)),
% 1.44/1.55 inference(scs_inference,[],[6,8,9,1,27,24,12,25,17,16,18,11,22,15])).
% 1.44/1.55 cnf(53,plain,
% 1.44/1.55 (P4(a1,a1,f8(a1,a1))),
% 1.44/1.55 inference(scs_inference,[],[6,8,9,1,4,27,24,12,25,17,16,18,11,22,15,23,21])).
% 1.44/1.55 cnf(55,plain,
% 1.44/1.55 (P3(a1,a1,f3(a1,a1))),
% 1.44/1.55 inference(scs_inference,[],[6,8,9,1,4,27,24,12,25,17,16,18,11,22,15,23,21,20])).
% 1.44/1.55 cnf(59,plain,
% 1.44/1.55 (P1(f8(a1,a1))),
% 1.44/1.55 inference(scs_inference,[],[6,8,9,1,4,27,24,12,25,17,16,18,11,22,15,23,21,20,19,14])).
% 1.44/1.55 cnf(63,plain,
% 1.44/1.55 (P4(a4,f8(a1,a1),f8(a1,a1))),
% 1.44/1.55 inference(scs_inference,[],[6,8,9,1,4,27,24,12,25,17,16,18,11,22,15,23,21,20,19,14,13,30])).
% 1.44/1.55 cnf(67,plain,
% 1.44/1.55 (~P3(f3(a1,a1),a1,a4)),
% 1.44/1.55 inference(scs_inference,[],[6,8,9,1,4,10,27,24,12,25,17,16,18,11,22,15,23,21,20,19,14,13,30,29,28])).
% 1.44/1.55 cnf(69,plain,
% 1.44/1.55 (P3(f8(a1,a1),f8(a1,a1),f8(a1,a1))),
% 1.44/1.55 inference(scs_inference,[],[6,8,9,1,4,10,27,24,12,25,17,16,18,11,22,15,23,21,20,19,14,13,30,29,28,32])).
% 1.44/1.55 cnf(73,plain,
% 1.44/1.55 (~P3(a4,a4,x731)+P4(x731,a1,a1)),
% 1.44/1.55 inference(scs_inference,[],[6,8,9,1,4,10,27,24,12,25,17,16,18,11,22,15,23,21,20,19,14,13,30,29,28,32,31,33])).
% 1.44/1.55 cnf(75,plain,
% 1.44/1.55 (P4(f8(a1,a1),a4,f8(a1,a1))),
% 1.44/1.55 inference(scs_inference,[],[63,26])).
% 1.44/1.55 cnf(77,plain,
% 1.44/1.55 (~P2(a5,a1)),
% 1.44/1.55 inference(scs_inference,[],[7,63,34,26,22])).
% 1.44/1.55 cnf(79,plain,
% 1.44/1.55 (P4(a4,a4,f8(a4,a4))),
% 1.44/1.55 inference(scs_inference,[],[7,2,63,34,26,22,21])).
% 1.44/1.55 cnf(83,plain,
% 1.44/1.55 (P2(a7,a2)),
% 1.44/1.55 inference(scs_inference,[],[7,2,3,5,63,34,49,26,22,21,31,12])).
% 1.44/1.55 cnf(87,plain,
% 1.44/1.55 (P3(a4,a4,f3(a4,a4))),
% 1.44/1.55 inference(scs_inference,[],[7,2,3,5,63,67,34,49,26,22,21,31,12,25,20])).
% 1.44/1.55 cnf(93,plain,
% 1.44/1.55 (P2(f3(a1,a1),f3(a1,a1))),
% 1.44/1.55 inference(scs_inference,[],[7,2,3,5,63,67,55,34,36,49,26,22,21,31,12,25,20,14,13,27])).
% 1.44/1.55 cnf(99,plain,
% 1.44/1.55 (P4(f3(a4,a4),a1,a1)),
% 1.44/1.55 inference(scs_inference,[],[7,2,3,5,9,69,63,67,55,34,36,49,26,22,21,31,12,25,20,14,13,27,24,33,73])).
% 1.44/1.55 cnf(119,plain,
% 1.44/1.55 (~P2(a5,a7)),
% 1.44/1.55 inference(scs_inference,[],[5,9,1,77,12,15])).
% 1.44/1.55 cnf(129,plain,
% 1.44/1.55 (P2(a1,f8(a1,a1))),
% 1.44/1.55 inference(scs_inference,[],[5,10,8,9,1,77,41,83,53,43,36,55,12,15,25,29,28,27,24])).
% 1.44/1.55 cnf(137,plain,
% 1.44/1.55 (~P4(a1,f3(a4,a4),a4)),
% 1.44/1.55 inference(scs_inference,[],[5,10,8,9,1,75,77,79,87,39,41,83,53,43,36,55,12,15,25,29,28,27,24,22,30,32,26])).
% 1.44/1.55 cnf(143,plain,
% 1.44/1.55 (P2(a7,a5)),
% 1.44/1.55 inference(scs_inference,[],[4,5,119,12])).
% 1.44/1.55 cnf(145,plain,
% 1.44/1.55 (P4(a1,f3(a4,a4),a1)),
% 1.44/1.55 inference(scs_inference,[],[4,5,99,119,12,26])).
% 1.44/1.55 cnf(147,plain,
% 1.44/1.55 (P3(a1,f3(a1,a1),f3(a1,a1))),
% 1.44/1.55 inference(scs_inference,[],[4,5,93,99,119,12,26,22])).
% 1.44/1.55 cnf(149,plain,
% 1.44/1.55 (~P4(a4,a1,a4)),
% 1.44/1.55 inference(scs_inference,[],[4,5,93,99,137,119,39,12,26,22,31])).
% 1.44/1.55 cnf(151,plain,
% 1.44/1.55 (~P2(f8(a1,a1),a7)),
% 1.44/1.55 inference(scs_inference,[],[4,5,9,93,129,99,137,119,39,12,26,22,31,15])).
% 1.44/1.55 cnf(153,plain,
% 1.44/1.55 (~P3(a5,a1,a1)),
% 1.44/1.55 inference(scs_inference,[],[34,4,5,9,93,129,99,137,119,39,12,26,22,31,15,25])).
% 1.44/1.55 cnf(193,plain,
% 1.44/1.55 (P3(a1,a2,a2)),
% 1.44/1.55 inference(scs_inference,[],[8,3,5,9,59,37,147,151,145,143,149,153,129,43,12,26,28,27,25,24,32,29,17,11,18,16])).
% 1.44/1.55 cnf(983,plain,
% 1.44/1.55 ($false),
% 1.44/1.55 inference(scs_inference,[],[49,59,193,7,37,20,14,13,27]),
% 1.44/1.55 ['proof']).
% 1.44/1.55 % SZS output end Proof
% 1.44/1.55 % Total time :0.860000s
%------------------------------------------------------------------------------