TSTP Solution File: FLD025-4 by CSE---1.6
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : FLD025-4 : 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 : n015.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 22:26:35 EDT 2023
% Result : Unsatisfiable 0.75s 0.82s
% Output : CNFRefutation 0.75s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : FLD025-4 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.00/0.12 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.12/0.34 % Computer : n015.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Sun Aug 27 23:43:54 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.19/0.58 start to proof:theBenchmark
% 0.61/0.81 %-------------------------------------------
% 0.61/0.81 % File :CSE---1.6
% 0.61/0.81 % Problem :theBenchmark
% 0.61/0.81 % Transform :cnf
% 0.61/0.81 % Format :tptp:raw
% 0.61/0.81 % Command :java -jar mcs_scs.jar %d %s
% 0.61/0.81
% 0.61/0.81 % Result :Theorem 0.170000s
% 0.61/0.81 % Output :CNFRefutation 0.170000s
% 0.61/0.81 %-------------------------------------------
% 0.61/0.82 %--------------------------------------------------------------------------
% 0.61/0.82 % File : FLD025-4 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.61/0.82 % Domain : Field Theory (Ordered fields)
% 0.61/0.82 % Problem : The resulting equation of a multiplication of two equations
% 0.61/0.82 % Version : [Dra93] axioms : Especial.
% 0.61/0.82 % Theorem formulation : Relational with re axiom set.
% 0.61/0.82 % English :
% 0.61/0.82
% 0.61/0.82 % Refs : [Dra93] Draeger (1993), Anwendung des Theorembeweisers SETHEO
% 0.61/0.82 % Source : [Dra93]
% 0.61/0.82 % Names :
% 0.61/0.82
% 0.61/0.82 % Status : Unsatisfiable
% 0.61/0.82 % 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 v2.4.0, 0.00 v2.2.1, 0.33 v2.1.0
% 0.61/0.82 % Syntax : Number of clauses : 35 ( 12 unt; 3 nHn; 35 RR)
% 0.61/0.82 % Number of literals : 86 ( 0 equ; 50 neg)
% 0.61/0.82 % Maximal clause size : 5 ( 2 avg)
% 0.61/0.82 % Maximal term depth : 2 ( 1 avg)
% 0.61/0.82 % Number of predicates : 4 ( 4 usr; 0 prp; 1-3 aty)
% 0.61/0.82 % Number of functors : 11 ( 11 usr; 7 con; 0-2 aty)
% 0.61/0.82 % Number of variables : 73 ( 0 sgn)
% 0.61/0.82 % SPC : CNF_UNS_RFO_NEQ_NHN
% 0.61/0.82
% 0.61/0.82 % Comments :
% 0.61/0.82 % Bugfixes : v2.1.0 - Bugfix in FLD002-0.ax
% 0.61/0.82 %--------------------------------------------------------------------------
% 0.61/0.82 include('Axioms/FLD002-0.ax').
% 0.75/0.82 %--------------------------------------------------------------------------
% 0.75/0.82 cnf(a_is_defined,hypothesis,
% 0.75/0.82 defined(a) ).
% 0.75/0.82
% 0.75/0.82 cnf(b_is_defined,hypothesis,
% 0.75/0.82 defined(b) ).
% 0.75/0.82
% 0.75/0.82 cnf(c_is_defined,hypothesis,
% 0.75/0.82 defined(c) ).
% 0.75/0.82
% 0.75/0.82 cnf(d_is_defined,hypothesis,
% 0.75/0.82 defined(d) ).
% 0.75/0.82
% 0.75/0.82 cnf(u_is_defined,hypothesis,
% 0.75/0.82 defined(u) ).
% 0.75/0.82
% 0.75/0.82 cnf(product_6,negated_conjecture,
% 0.75/0.82 product(multiplicative_identity,a,b) ).
% 0.75/0.82
% 0.75/0.82 cnf(product_7,negated_conjecture,
% 0.75/0.82 product(multiplicative_identity,c,d) ).
% 0.75/0.82
% 0.75/0.82 cnf(product_8,negated_conjecture,
% 0.75/0.82 product(a,c,u) ).
% 0.75/0.82
% 0.75/0.82 cnf(not_product_9,negated_conjecture,
% 0.75/0.82 ~ product(d,b,u) ).
% 0.75/0.82
% 0.75/0.82 %--------------------------------------------------------------------------
% 0.75/0.82 %-------------------------------------------
% 0.75/0.82 % Proof found
% 0.75/0.82 % SZS status Theorem for theBenchmark
% 0.75/0.82 % SZS output start Proof
% 0.75/0.82 %ClaNum:35(EqnAxiom:0)
% 0.75/0.82 %VarNum:162(SingletonVarNum:73)
% 0.75/0.82 %MaxLitNum:5
% 0.75/0.82 %MaxfuncDepth:1
% 0.75/0.82 %SharedTerms:19
% 0.75/0.82 %goalClause: 8 9 10 12
% 0.75/0.82 %singleGoalClaCount:4
% 0.75/0.82 [1]P1(a1)
% 0.75/0.82 [2]P1(a4)
% 0.75/0.82 [3]P1(a2)
% 0.75/0.82 [4]P1(a5)
% 0.75/0.82 [5]P1(a7)
% 0.75/0.82 [6]P1(a8)
% 0.75/0.82 [7]P1(a9)
% 0.75/0.82 [8]P2(a4,a2,a5)
% 0.75/0.82 [9]P2(a4,a7,a8)
% 0.75/0.82 [10]P2(a2,a7,a9)
% 0.75/0.82 [11]~P4(a1,a1,a4)
% 0.75/0.82 [12]~P2(a8,a5,a9)
% 0.75/0.82 [18]~P1(x181)+P4(a1,x181,x181)
% 0.75/0.82 [19]~P1(x191)+P2(a4,x191,x191)
% 0.75/0.82 [13]~P1(x131)+P1(f6(x131))
% 0.75/0.82 [20]~P1(x201)+P4(f6(x201),x201,a1)
% 0.75/0.82 [27]~P4(x272,x271,x273)+P4(x271,x272,x273)
% 0.75/0.82 [28]~P2(x282,x281,x283)+P2(x281,x282,x283)
% 0.75/0.82 [21]~P1(x211)+P4(a1,x211,a1)+P1(f11(x211))
% 0.75/0.82 [25]~P1(x251)+P2(f11(x251),x251,a4)+P4(a1,x251,a1)
% 0.75/0.82 [24]~P3(x242,x241)+~P3(x241,x242)+P4(a1,x241,x242)
% 0.75/0.82 [15]~P1(x152)+~P1(x151)+P1(f3(x151,x152))
% 0.75/0.82 [16]~P1(x162)+~P1(x161)+P1(f10(x161,x162))
% 0.75/0.82 [22]~P1(x222)+~P1(x221)+P4(x221,x222,f3(x221,x222))
% 0.75/0.82 [23]~P1(x232)+~P1(x231)+P2(x231,x232,f10(x231,x232))
% 0.75/0.82 [17]~P3(x171,x173)+P3(x171,x172)+~P3(x173,x172)
% 0.75/0.82 [14]P3(x142,x141)+~P1(x141)+~P1(x142)+P3(x141,x142)
% 0.75/0.82 [26]~P2(x263,x262,x261)+P3(a1,x261)+~P3(a1,x262)+~P3(a1,x263)
% 0.75/0.82 [29]~P4(x293,x295,x291)+P3(x291,x292)+~P4(x294,x295,x292)+~P3(x293,x294)
% 0.75/0.82 [30]~P4(x301,x306,x304)+P4(x301,x302,x303)+~P4(x304,x305,x303)+~P4(x306,x305,x302)
% 0.75/0.82 [31]~P4(x316,x314,x311)+P4(x311,x312,x313)+~P4(x314,x312,x315)+~P4(x316,x315,x313)
% 0.75/0.82 [32]~P2(x321,x326,x324)+P2(x321,x322,x323)+~P2(x324,x325,x323)+~P2(x326,x325,x322)
% 0.75/0.82 [33]~P2(x336,x334,x331)+P2(x331,x332,x333)+~P2(x334,x332,x335)+~P2(x336,x335,x333)
% 0.75/0.82 [34]~P2(x345,x347,x342)+~P2(x344,x347,x341)+P4(x341,x342,x343)+~P4(x344,x345,x346)+~P2(x346,x347,x343)
% 0.75/0.82 [35]~P2(x357,x352,x355)+~P2(x356,x352,x354)+P2(x351,x352,x353)+~P4(x354,x355,x353)+~P4(x356,x357,x351)
% 0.75/0.82 %EqnAxiom
% 0.75/0.82
% 0.75/0.82 %-------------------------------------------
% 0.75/0.83 cnf(36,plain,
% 0.75/0.83 (~P2(a5,a8,a9)),
% 0.75/0.83 inference(scs_inference,[],[12,28])).
% 0.75/0.83 cnf(37,plain,
% 0.75/0.83 (~P2(a5,a4,a2)),
% 0.75/0.83 inference(scs_inference,[],[9,10,12,28,32])).
% 0.75/0.83 cnf(39,plain,
% 0.75/0.83 (P2(a4,a1,a1)),
% 0.75/0.83 inference(scs_inference,[],[9,10,12,1,28,32,14,19])).
% 0.75/0.83 cnf(41,plain,
% 0.75/0.83 (P4(a1,a1,a1)),
% 0.75/0.83 inference(scs_inference,[],[9,10,12,1,28,32,14,19,18])).
% 0.75/0.83 cnf(43,plain,
% 0.75/0.83 (P4(f6(a1),a1,a1)),
% 0.75/0.83 inference(scs_inference,[],[9,10,12,1,28,32,14,19,18,20])).
% 0.75/0.83 cnf(47,plain,
% 0.75/0.83 (P2(a1,a1,f10(a1,a1))),
% 0.75/0.83 inference(scs_inference,[],[9,10,12,1,28,32,14,19,18,20,13,23])).
% 0.75/0.83 cnf(49,plain,
% 0.75/0.83 (P4(a1,a1,f3(a1,a1))),
% 0.75/0.83 inference(scs_inference,[],[9,10,12,1,28,32,14,19,18,20,13,23,22])).
% 0.75/0.83 cnf(59,plain,
% 0.75/0.83 (~P4(f3(a1,a1),a1,a4)),
% 0.75/0.83 inference(scs_inference,[],[8,9,10,12,1,11,28,32,14,19,18,20,13,23,22,16,15,33,31,30])).
% 0.75/0.83 cnf(63,plain,
% 0.75/0.83 (P3(a1,f10(a1,a1))),
% 0.75/0.83 inference(scs_inference,[],[8,9,10,12,1,11,28,32,14,19,18,20,13,23,22,16,15,33,31,30,29,26])).
% 0.75/0.83 cnf(65,plain,
% 0.75/0.83 (P4(f10(a1,a1),f10(a1,a1),f10(a1,a1))),
% 0.75/0.83 inference(scs_inference,[],[8,9,10,12,1,11,28,32,14,19,18,20,13,23,22,16,15,33,31,30,29,26,34])).
% 0.75/0.83 cnf(67,plain,
% 0.75/0.83 (~P4(a1,f6(a1),a4)),
% 0.75/0.83 inference(scs_inference,[],[8,9,10,12,1,11,28,32,14,19,18,20,13,23,22,16,15,33,31,30,29,26,34,27])).
% 0.75/0.83 cnf(69,plain,
% 0.75/0.83 (P4(a1,f3(a1,a1),f3(a1,a1))),
% 0.75/0.83 inference(scs_inference,[],[8,9,10,12,1,11,28,32,14,19,18,20,13,23,22,16,15,33,31,30,29,26,34,27,24])).
% 0.75/0.83 cnf(77,plain,
% 0.75/0.83 (P4(f3(a1,a1),a1,f3(a1,a1))),
% 0.75/0.83 inference(scs_inference,[],[69,27])).
% 0.75/0.83 cnf(81,plain,
% 0.75/0.83 (P2(a2,a4,a5)),
% 0.75/0.83 inference(scs_inference,[],[8,69,47,39,27,32,28])).
% 0.75/0.83 cnf(85,plain,
% 0.75/0.83 (P4(a2,a2,f3(a2,a2))),
% 0.75/0.83 inference(scs_inference,[],[8,3,69,47,39,27,32,28,23,22])).
% 0.75/0.83 cnf(93,plain,
% 0.75/0.83 (~P2(a4,a5,a2)),
% 0.75/0.83 inference(scs_inference,[],[8,3,69,63,47,37,39,27,32,28,23,22,16,15,17,33])).
% 0.75/0.83 cnf(114,plain,
% 0.75/0.83 (~P4(a1,f3(a1,a1),a4)),
% 0.75/0.83 inference(scs_inference,[],[36,10,59,81,33,27])).
% 0.75/0.83 cnf(136,plain,
% 0.75/0.83 (P4(a1,f6(a1),a1)),
% 0.75/0.83 inference(scs_inference,[],[43,27])).
% 0.75/0.83 cnf(138,plain,
% 0.75/0.83 (~P4(f6(a1),f3(a1,a1),a4)),
% 0.75/0.83 inference(scs_inference,[],[114,69,43,27,31])).
% 0.75/0.83 cnf(140,plain,
% 0.75/0.83 (P2(a7,a4,a8)),
% 0.75/0.83 inference(scs_inference,[],[9,114,69,43,27,31,28])).
% 0.75/0.83 cnf(150,plain,
% 0.75/0.83 (~P4(x1501,x1502,a8)+~P4(x1503,x1504,a9)+~P2(x1502,a5,x1504)+~P2(x1501,a5,x1503)),
% 0.75/0.83 inference(scs_inference,[],[9,12,11,114,81,39,69,43,63,27,31,28,26,32,33,34,35])).
% 0.75/0.83 cnf(158,plain,
% 0.75/0.83 (P4(f3(a1,a1),f6(a1),f3(a1,a1))),
% 0.75/0.83 inference(scs_inference,[],[138,136,77,27,31])).
% 0.75/0.83 cnf(160,plain,
% 0.75/0.83 (P2(a4,a7,a7)),
% 0.75/0.83 inference(scs_inference,[],[5,138,136,77,27,31,19])).
% 0.75/0.83 cnf(164,plain,
% 0.75/0.83 (P4(f6(a7),a7,a1)),
% 0.75/0.83 inference(scs_inference,[],[5,138,136,77,27,31,19,13,20])).
% 0.75/0.83 cnf(166,plain,
% 0.75/0.83 (P4(a1,a7,a7)),
% 0.75/0.83 inference(scs_inference,[],[5,138,136,77,27,31,19,13,20,18])).
% 0.75/0.83 cnf(187,plain,
% 0.75/0.83 (P4(f3(a1,a1),a7,a7)),
% 0.75/0.83 inference(scs_inference,[],[6,166,49,23,31])).
% 0.75/0.83 cnf(189,plain,
% 0.75/0.83 (P4(f6(a1),f3(a1,a1),f3(a1,a1))),
% 0.75/0.83 inference(scs_inference,[],[6,158,166,49,23,31,27])).
% 0.75/0.83 cnf(191,plain,
% 0.75/0.83 (P2(a4,a8,a8)),
% 0.75/0.83 inference(scs_inference,[],[6,158,160,166,140,49,23,31,27,32])).
% 0.75/0.83 cnf(195,plain,
% 0.75/0.83 (P4(a8,a8,f3(a8,a8))),
% 0.75/0.83 inference(scs_inference,[],[6,158,160,166,140,49,47,65,23,31,27,32,35,22])).
% 0.75/0.83 cnf(211,plain,
% 0.75/0.83 (P4(a5,a5,f3(a5,a5))),
% 0.75/0.83 inference(scs_inference,[],[4,22])).
% 0.75/0.83 cnf(223,plain,
% 0.75/0.83 (P4(a7,f3(a1,a1),a7)),
% 0.75/0.83 inference(scs_inference,[],[4,189,187,65,63,22,16,15,23,30,29,27])).
% 0.75/0.83 cnf(229,plain,
% 0.75/0.83 (P3(a5,a5)),
% 0.75/0.83 inference(scs_inference,[],[4,189,187,85,81,65,63,22,16,15,23,30,29,27,35,150,14])).
% 0.75/0.83 cnf(245,plain,
% 0.75/0.83 (P4(a1,a5,a5)),
% 0.75/0.83 inference(scs_inference,[],[229,223,191,140,77,9,31,33,24])).
% 0.75/0.83 cnf(247,plain,
% 0.75/0.83 (P2(f3(a8,a8),a4,f3(a8,a8))),
% 0.75/0.83 inference(scs_inference,[],[229,223,195,191,140,77,9,31,33,24,35])).
% 0.75/0.83 cnf(265,plain,
% 0.75/0.83 (P4(a7,f6(a1),a7)),
% 0.75/0.83 inference(scs_inference,[],[2,223,158,23,31])).
% 0.75/0.83 cnf(267,plain,
% 0.75/0.83 (P2(f3(a8,a8),f10(a4,a4),f3(a8,a8))),
% 0.75/0.83 inference(scs_inference,[],[2,247,223,158,23,31,32])).
% 0.75/0.83 cnf(273,plain,
% 0.75/0.83 (P2(a4,a4,a4)),
% 0.75/0.83 inference(scs_inference,[],[39,2,247,211,245,223,158,23,31,32,33,30,19])).
% 0.75/0.83 cnf(275,plain,
% 0.75/0.83 (P1(f6(a4))),
% 0.75/0.83 inference(scs_inference,[],[39,2,247,211,245,223,158,23,31,32,33,30,19,13])).
% 0.75/0.83 cnf(277,plain,
% 0.75/0.83 (P4(f6(a4),a4,a1)),
% 0.75/0.83 inference(scs_inference,[],[39,2,247,211,245,223,158,23,31,32,33,30,19,13,20])).
% 0.75/0.83 cnf(279,plain,
% 0.75/0.83 (P4(a1,a4,a4)),
% 0.75/0.83 inference(scs_inference,[],[39,2,247,211,245,223,158,23,31,32,33,30,19,13,20,18])).
% 0.75/0.83 cnf(281,plain,
% 0.75/0.83 (P2(a1,a4,a1)),
% 0.75/0.83 inference(scs_inference,[],[39,2,247,211,245,223,158,23,31,32,33,30,19,13,20,18,28])).
% 0.75/0.83 cnf(324,plain,
% 0.75/0.83 ($false),
% 0.75/0.83 inference(scs_inference,[],[36,41,3,11,267,275,265,93,273,277,281,164,279,67,191,81,8,31,28,34,33,30,32,21,25,19]),
% 0.75/0.83 ['proof']).
% 0.75/0.83 % SZS output end Proof
% 0.75/0.83 % Total time :0.170000s
%------------------------------------------------------------------------------