TSTP Solution File: FLD067-1 by CSE---1.6
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : FLD067-1 : 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 : n022.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 0.20s 0.75s
% Output : CNFRefutation 0.68s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : FLD067-1 : 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
% 0.13/0.34 % Computer : n022.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 00:39:24 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.20/0.56 start to proof:theBenchmark
% 0.20/0.74 %-------------------------------------------
% 0.20/0.74 % File :CSE---1.6
% 0.20/0.74 % Problem :theBenchmark
% 0.20/0.74 % Transform :cnf
% 0.20/0.74 % Format :tptp:raw
% 0.20/0.74 % Command :java -jar mcs_scs.jar %d %s
% 0.20/0.74
% 0.20/0.74 % Result :Theorem 0.120000s
% 0.20/0.74 % Output :CNFRefutation 0.120000s
% 0.20/0.74 %-------------------------------------------
% 0.20/0.74 %--------------------------------------------------------------------------
% 0.20/0.74 % File : FLD067-1 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.20/0.74 % Domain : Field Theory (Ordered fields)
% 0.20/0.74 % Problem : Side change in an order relation, part 1
% 0.20/0.74 % Version : [Dra93] axioms : Especial.
% 0.20/0.74 % Theorem formulation : Functional with glxx axiom set.
% 0.20/0.74 % English :
% 0.20/0.74
% 0.20/0.74 % Refs : [Dra93] Draeger (1993), Anwendung des Theorembeweisers SETHEO
% 0.20/0.74 % Source : [Dra93]
% 0.20/0.74 % Names :
% 0.20/0.74
% 0.20/0.74 % Status : Unsatisfiable
% 0.20/0.74 % Rating : 0.00 v7.4.0, 0.17 v7.1.0, 0.33 v7.0.0, 0.25 v6.3.0, 0.00 v5.5.0, 0.12 v5.4.0, 0.20 v5.2.0, 0.00 v5.1.0, 0.09 v5.0.0, 0.36 v4.1.0, 0.12 v4.0.1, 0.20 v4.0.0, 0.14 v3.4.0, 0.25 v3.3.0, 0.33 v2.7.0, 0.12 v2.6.0, 0.33 v2.5.0, 0.00 v2.4.0, 0.20 v2.3.0, 0.33 v2.2.1, 0.33 v2.1.0
% 0.20/0.74 % Syntax : Number of clauses : 31 ( 7 unt; 3 nHn; 31 RR)
% 0.20/0.74 % Number of literals : 77 ( 0 equ; 45 neg)
% 0.20/0.74 % Maximal clause size : 4 ( 2 avg)
% 0.20/0.74 % Maximal term depth : 3 ( 1 avg)
% 0.20/0.74 % Number of predicates : 3 ( 3 usr; 0 prp; 1-2 aty)
% 0.20/0.74 % Number of functors : 8 ( 8 usr; 4 con; 0-2 aty)
% 0.20/0.74 % Number of variables : 50 ( 0 sgn)
% 0.20/0.74 % SPC : CNF_UNS_RFO_NEQ_NHN
% 0.20/0.74
% 0.20/0.74 % Comments :
% 0.20/0.74 % Bugfixes : v2.1.0 - Bugfix in FLD001-0.ax
% 0.20/0.74 %--------------------------------------------------------------------------
% 0.20/0.74 include('Axioms/FLD001-0.ax').
% 0.20/0.74 %--------------------------------------------------------------------------
% 0.20/0.74 cnf(a_is_defined,hypothesis,
% 0.20/0.74 defined(a) ).
% 0.20/0.74
% 0.20/0.74 cnf(b_is_defined,hypothesis,
% 0.20/0.74 defined(b) ).
% 0.20/0.74
% 0.20/0.74 cnf(less_or_equal_3,negated_conjecture,
% 0.20/0.74 less_or_equal(a,b) ).
% 0.20/0.75
% 0.20/0.75 cnf(not_less_or_equal_4,negated_conjecture,
% 0.20/0.75 ~ less_or_equal(additive_identity,add(b,additive_inverse(a))) ).
% 0.20/0.75
% 0.20/0.75 %--------------------------------------------------------------------------
% 0.20/0.75 %-------------------------------------------
% 0.20/0.75 % Proof found
% 0.20/0.75 % SZS status Theorem for theBenchmark
% 0.20/0.75 % SZS output start Proof
% 0.20/0.75 %ClaNum:31(EqnAxiom:0)
% 0.20/0.75 %VarNum:128(SingletonVarNum:50)
% 0.20/0.75 %MaxLitNum:4
% 0.20/0.75 %MaxfuncDepth:2
% 0.20/0.75 %SharedTerms:13
% 0.20/0.75 %goalClause: 5 7
% 0.20/0.75 %singleGoalClaCount:2
% 0.20/0.75 [1]P1(a1)
% 0.20/0.75 [2]P1(a4)
% 0.20/0.75 [3]P1(a2)
% 0.20/0.75 [4]P1(a5)
% 0.20/0.75 [5]P2(a2,a5)
% 0.20/0.75 [6]~P3(a1,a4)
% 0.20/0.75 [7]~P2(a1,f3(a5,f6(a2)))
% 0.20/0.75 [9]~P1(x91)+P3(x91,x91)
% 0.20/0.75 [8]~P1(x81)+P1(f6(x81))
% 0.20/0.75 [13]~P1(x131)+P3(f3(a1,x131),x131)
% 0.20/0.75 [14]~P1(x141)+P3(f8(a4,x141),x141)
% 0.20/0.75 [17]~P1(x171)+P3(f3(x171,f6(x171)),a1)
% 0.20/0.75 [11]~P3(x112,x111)+P3(x111,x112)
% 0.20/0.75 [10]~P1(x101)+P3(x101,a1)+P1(f7(x101))
% 0.20/0.75 [22]~P1(x221)+P3(x221,a1)+P3(f8(x221,f7(x221)),a4)
% 0.20/0.75 [19]~P2(x192,x191)+~P2(x191,x192)+P3(x191,x192)
% 0.20/0.75 [15]~P1(x152)+~P1(x151)+P1(f3(x151,x152))
% 0.20/0.75 [16]~P1(x162)+~P1(x161)+P1(f8(x161,x162))
% 0.20/0.75 [23]~P2(a1,x232)+~P2(a1,x231)+P2(a1,f8(x231,x232))
% 0.20/0.75 [24]~P1(x242)+~P1(x241)+P3(f3(x241,x242),f3(x242,x241))
% 0.20/0.75 [25]~P1(x252)+~P1(x251)+P3(f8(x251,x252),f8(x252,x251))
% 0.20/0.75 [18]~P3(x181,x183)+P3(x181,x182)+~P3(x183,x182)
% 0.20/0.75 [20]~P2(x203,x202)+P2(x201,x202)+~P3(x203,x201)
% 0.20/0.75 [21]~P2(x211,x213)+P2(x211,x212)+~P2(x213,x212)
% 0.20/0.75 [26]~P1(x262)+~P3(x261,x263)+P3(f3(x261,x262),f3(x263,x262))
% 0.20/0.75 [27]~P1(x272)+~P3(x271,x273)+P3(f8(x271,x272),f8(x273,x272))
% 0.20/0.75 [28]~P1(x282)+~P2(x281,x283)+P2(f3(x281,x282),f3(x283,x282))
% 0.20/0.75 [12]P2(x122,x121)+~P1(x121)+~P1(x122)+P2(x121,x122)
% 0.20/0.75 [29]~P1(x293)+~P1(x292)+~P1(x291)+P3(f3(x291,f3(x292,x293)),f3(f3(x291,x292),x293))
% 0.20/0.75 [30]~P1(x303)+~P1(x302)+~P1(x301)+P3(f8(x301,f8(x302,x303)),f8(f8(x301,x302),x303))
% 0.20/0.75 [31]~P1(x313)+~P1(x312)+~P1(x311)+P3(f3(f8(x311,x312),f8(x313,x312)),f8(f3(x311,x313),x312))
% 0.20/0.75 %EqnAxiom
% 0.20/0.75
% 0.20/0.75 %-------------------------------------------
% 0.20/0.75 cnf(32,plain,
% 0.20/0.75 (~P3(a4,a1)),
% 0.20/0.75 inference(scs_inference,[],[6,11])).
% 0.20/0.75 cnf(33,plain,
% 0.20/0.75 (P2(a1,a1)),
% 0.20/0.75 inference(scs_inference,[],[1,6,11,12])).
% 0.20/0.75 cnf(34,plain,
% 0.20/0.75 (P3(a1,a1)),
% 0.20/0.75 inference(scs_inference,[],[1,6,11,12,9])).
% 0.20/0.75 cnf(36,plain,
% 0.20/0.75 (P3(f8(a4,a1),a1)),
% 0.20/0.75 inference(scs_inference,[],[1,6,11,12,9,14])).
% 0.20/0.75 cnf(38,plain,
% 0.20/0.75 (P3(f3(a1,a1),a1)),
% 0.20/0.75 inference(scs_inference,[],[1,6,11,12,9,14,13])).
% 0.20/0.75 cnf(40,plain,
% 0.20/0.75 (P1(f6(a1))),
% 0.20/0.75 inference(scs_inference,[],[1,6,11,12,9,14,13,8])).
% 0.20/0.75 cnf(42,plain,
% 0.20/0.75 (P3(f3(a1,f6(a1)),a1)),
% 0.20/0.75 inference(scs_inference,[],[1,6,11,12,9,14,13,8,17])).
% 0.20/0.75 cnf(78,plain,
% 0.20/0.75 (~P3(a4,f3(a1,f6(a1)))),
% 0.20/0.75 inference(scs_inference,[],[42,32,18])).
% 0.20/0.75 cnf(80,plain,
% 0.20/0.75 (P2(a1,f8(a1,a1))),
% 0.20/0.75 inference(scs_inference,[],[42,33,32,18,23])).
% 0.20/0.75 cnf(92,plain,
% 0.20/0.75 (P3(f8(a4,f7(a4)),a4)),
% 0.20/0.75 inference(scs_inference,[],[5,3,2,42,33,32,18,23,16,10,28,26,24,22])).
% 0.20/0.75 cnf(96,plain,
% 0.20/0.75 (P3(a1,f3(a1,f6(a1)))),
% 0.20/0.75 inference(scs_inference,[],[5,3,2,42,33,32,18,23,16,10,28,26,24,22,31,11])).
% 0.20/0.75 cnf(100,plain,
% 0.20/0.75 (P1(f3(a2,a2))),
% 0.20/0.75 inference(scs_inference,[],[5,3,7,2,42,33,32,18,23,16,10,28,26,24,22,31,11,20,15])).
% 0.20/0.75 cnf(106,plain,
% 0.20/0.75 (P3(f8(a2,f8(a2,a2)),f8(f8(a2,a2),a2))),
% 0.20/0.75 inference(scs_inference,[],[5,3,7,2,42,33,32,18,23,16,10,28,26,24,22,31,11,20,15,27,25,30])).
% 0.20/0.75 cnf(108,plain,
% 0.68/0.75 (P3(f3(a2,f3(a2,a2)),f3(f3(a2,a2),a2))),
% 0.68/0.75 inference(scs_inference,[],[5,3,7,2,42,33,32,18,23,16,10,28,26,24,22,31,11,20,15,27,25,30,29])).
% 0.68/0.75 cnf(123,plain,
% 0.68/0.75 (P3(f3(f8(a5,a5),f8(a5,a5)),f8(f3(a5,a5),a5))),
% 0.68/0.75 inference(scs_inference,[],[7,4,36,78,11,20,29,31])).
% 0.68/0.75 cnf(129,plain,
% 0.68/0.75 (P2(a5,a5)),
% 0.68/0.75 inference(scs_inference,[],[7,4,36,80,78,11,20,29,31,21,30,12])).
% 0.68/0.75 cnf(135,plain,
% 0.68/0.75 (P3(a5,a5)),
% 0.68/0.75 inference(scs_inference,[],[129,19])).
% 0.68/0.75 cnf(137,plain,
% 0.68/0.75 (P3(f8(f3(a5,a5),a5),f3(f8(a5,a5),f8(a5,a5)))),
% 0.68/0.75 inference(scs_inference,[],[123,129,19,11])).
% 0.68/0.75 cnf(139,plain,
% 0.68/0.75 (~P3(a1,f8(a4,f7(a4)))),
% 0.68/0.75 inference(scs_inference,[],[6,123,92,129,19,11,18])).
% 0.68/0.75 cnf(143,plain,
% 0.68/0.75 (~P2(f3(a1,a1),f3(a5,f6(a2)))),
% 0.68/0.75 inference(scs_inference,[],[7,6,1,123,92,129,38,19,11,18,12,20])).
% 0.68/0.75 cnf(149,plain,
% 0.68/0.75 (~P3(f8(a4,f7(a4)),a1)),
% 0.68/0.75 inference(scs_inference,[],[33,139,96,20,11])).
% 0.68/0.75 cnf(159,plain,
% 0.68/0.75 (P3(f3(a5,f6(a5)),a1)),
% 0.68/0.75 inference(scs_inference,[],[33,4,2,139,137,96,123,20,11,18,9,14,13,17])).
% 0.68/0.75 cnf(173,plain,
% 0.68/0.75 (P2(a1,f8(f8(a1,a1),f8(a1,a1)))),
% 0.68/0.75 inference(scs_inference,[],[106,80,11,18,23])).
% 0.68/0.75 cnf(189,plain,
% 0.68/0.75 (P1(f3(a1,a1))),
% 0.68/0.75 inference(scs_inference,[],[1,33,135,106,149,80,11,18,23,16,10,28,24,27,26,25,15])).
% 0.68/0.75 cnf(191,plain,
% 0.68/0.75 (P2(a1,f3(a1,a1))),
% 0.68/0.75 inference(scs_inference,[],[1,33,135,106,149,38,80,11,18,23,16,10,28,24,27,26,25,15,20])).
% 0.68/0.75 cnf(195,plain,
% 0.68/0.75 (P2(a2,a2)),
% 0.68/0.75 inference(scs_inference,[],[1,33,4,3,135,106,149,38,80,11,18,23,16,10,28,24,27,26,25,15,20,22,12])).
% 0.68/0.75 cnf(205,plain,
% 0.68/0.75 (P2(a1,f8(f3(a1,a1),f3(a1,a1)))),
% 0.68/0.75 inference(scs_inference,[],[2,191,16,24,23])).
% 0.68/0.75 cnf(231,plain,
% 0.68/0.75 (P3(f3(f3(a2,a2),a2),f3(a2,f3(a2,a2)))),
% 0.68/0.75 inference(scs_inference,[],[2,34,33,32,189,143,173,108,191,159,195,7,16,24,23,28,27,25,15,26,19,21,29,31,30,12,18,11])).
% 0.68/0.75 cnf(257,plain,
% 0.68/0.75 (P1(f3(a5,a5))),
% 0.68/0.75 inference(scs_inference,[],[4,15])).
% 0.68/0.75 cnf(261,plain,
% 0.68/0.75 (~P3(a4,f8(a4,a1))),
% 0.68/0.75 inference(scs_inference,[],[36,32,4,100,15,12,18])).
% 0.68/0.75 cnf(267,plain,
% 0.68/0.75 (P3(f3(a2,f6(a2)),a1)),
% 0.68/0.75 inference(scs_inference,[],[3,36,32,4,100,15,12,18,11,14,17])).
% 0.68/0.75 cnf(271,plain,
% 0.68/0.75 (P1(f6(a2))),
% 0.68/0.75 inference(scs_inference,[],[3,36,32,4,100,40,15,12,18,11,14,17,9,8])).
% 0.68/0.75 cnf(292,plain,
% 0.68/0.75 ($false),
% 0.68/0.75 inference(scs_inference,[],[257,231,271,261,267,108,205,5,7,15,18,11,21,20,28]),
% 0.68/0.75 ['proof']).
% 0.68/0.75 % SZS output end Proof
% 0.68/0.75 % Total time :0.120000s
%------------------------------------------------------------------------------