%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : FLD064-1 : TPTP v8.2.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% Computer : n014.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 : Mon Jun 24 05:55:33 EDT 2024
% Result : Unsatisfiable 5.44s 5.49s
% Output : CNFRefutation 5.44s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : FLD064-1 : TPTP v8.2.0. Bugfixed v2.1.0.
% 0.11/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.13/0.34 % Computer : n014.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
% 0.19/0.34 % CPULimit : 300
% 0.19/0.34 % WCLimit : 300
% 0.19/0.34 % DateTime : Wed Jun 19 10:53:24 EDT 2024
% 0.19/0.34 % CPUTime :
% 0.54/0.58 start to proof:theBenchmark
% 5.44/5.49 %-------------------------------------------
% 5.44/5.49 % File :CSE---1.7
% 5.44/5.49 % Problem :theBenchmark
% 5.44/5.49 % Transform :cnf
% 5.44/5.49 % Format :tptp:raw
% 5.44/5.49 % Command :java -jar mcs_scs.jar %d %s
% 5.44/5.49
% 5.44/5.49 % Result :Theorem 4.870000s
% 5.44/5.49 % Output :CNFRefutation 4.870000s
% 5.44/5.49 %-------------------------------------------
% 5.44/5.49 %--------------------------------------------------------------------------
% 5.44/5.49 % File : FLD064-1 : TPTP v8.2.0. Bugfixed v2.1.0.
% 5.44/5.49 % Domain : Field Theory (Ordered fields)
% 5.44/5.49 % Problem : Side change of a term in an order relation, part 1
% 5.44/5.49 % Version : [Dra93] axioms : Especial.
% 5.44/5.49 % Theorem formulation : Functional with glxx axiom set.
% 5.44/5.49 % English :
% 5.44/5.49
% 5.44/5.49 % Refs : [Dra93] Draeger (1993), Anwendung des Theorembeweisers SETHEO
% 5.44/5.49 % Source : [Dra93]
% 5.44/5.49 % Names :
% 5.44/5.49
% 5.44/5.49 % Status : Unsatisfiable
% 5.44/5.49 % Rating : 0.08 v8.2.0, 0.14 v7.5.0, 0.17 v7.1.0, 0.50 v7.0.0, 0.12 v6.4.0, 0.25 v6.3.0, 0.14 v6.2.0, 0.22 v6.1.0, 0.29 v5.5.0, 0.38 v5.4.0, 0.40 v5.2.0, 0.20 v5.1.0, 0.27 v5.0.0, 0.43 v4.1.0, 0.25 v4.0.1, 0.20 v4.0.0, 0.29 v3.4.0, 0.25 v3.3.0, 0.33 v2.7.0, 0.12 v2.6.0, 0.33 v2.5.0, 0.20 v2.4.0, 0.40 v2.3.0, 0.67 v2.2.1, 0.67 v2.1.0
% 5.44/5.49 % Syntax : Number of clauses : 30 ( 6 unt; 3 nHn; 30 RR)
% 5.44/5.49 % Number of literals : 76 ( 0 equ; 45 neg)
% 5.44/5.49 % Maximal clause size : 4 ( 2 avg)
% 5.44/5.49 % Maximal term depth : 3 ( 1 avg)
% 5.44/5.49 % Number of predicates : 3 ( 3 usr; 0 prp; 1-2 aty)
% 5.44/5.49 % Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% 5.44/5.49 % Number of variables : 50 ( 0 sgn)
% 5.44/5.49 % SPC : CNF_UNS_RFO_NEQ_NHN
% 5.44/5.49
% 5.44/5.49 % Comments :
% 5.44/5.49 % Bugfixes : v2.1.0 - Bugfix in FLD001-0.ax
% 5.44/5.49 %--------------------------------------------------------------------------
% 5.44/5.49 include('Axioms/FLD001-0.ax').
% 5.44/5.49 %--------------------------------------------------------------------------
% 5.44/5.49 cnf(a_is_defined,hypothesis,
% 5.44/5.49 defined(a) ).
% 5.44/5.49
% 5.44/5.49 cnf(less_or_equal_2,negated_conjecture,
% 5.44/5.49 less_or_equal(additive_identity,a) ).
% 5.44/5.49
% 5.44/5.49 cnf(not_less_or_equal_3,negated_conjecture,
% 5.44/5.49 ~ less_or_equal(additive_inverse(a),additive_identity) ).
% 5.44/5.49
% 5.44/5.49 %--------------------------------------------------------------------------
% 5.44/5.49 %-------------------------------------------
% 5.44/5.49 % Proof found
% 5.44/5.49 % SZS status Theorem for theBenchmark
% 5.44/5.49 % SZS output start Proof
% 5.44/5.49 %ClaNum:30(EqnAxiom:0)
% 5.44/5.50 %VarNum:128(SingletonVarNum:50)
% 5.44/5.50 %MaxLitNum:4
% 5.44/5.50 %MaxfuncDepth:2
% 5.44/5.50 %SharedTerms:10
% 5.44/5.50 %goalClause: 4 6
% 5.44/5.50 %singleGoalClaCount:2
% 5.44/5.50 [1]P1(a1)
% 5.44/5.50 [2]P1(a4)
% 5.44/5.50 [3]P1(a2)
% 5.44/5.50 [4]P2(a1,a2)
% 5.44/5.50 [5]~P3(a1,a4)
% 5.44/5.50 [6]~P2(f5(a2),a1)
% 5.44/5.50 [8]~P1(x81)+P3(x81,x81)
% 5.44/5.50 [7]~P1(x71)+P1(f5(x71))
% 5.44/5.50 [12]~P1(x121)+P3(f3(a1,x121),x121)
% 5.44/5.50 [13]~P1(x131)+P3(f7(a4,x131),x131)
% 5.44/5.50 [16]~P1(x161)+P3(f3(x161,f5(x161)),a1)
% 5.44/5.50 [10]~P3(x102,x101)+P3(x101,x102)
% 5.44/5.50 [9]~P1(x91)+P3(x91,a1)+P1(f6(x91))
% 5.44/5.50 [21]~P1(x211)+P3(x211,a1)+P3(f7(x211,f6(x211)),a4)
% 5.44/5.50 [18]~P2(x182,x181)+~P2(x181,x182)+P3(x181,x182)
% 5.44/5.50 [14]~P1(x142)+~P1(x141)+P1(f3(x141,x142))
% 5.44/5.50 [15]~P1(x152)+~P1(x151)+P1(f7(x151,x152))
% 5.44/5.50 [22]~P2(a1,x222)+~P2(a1,x221)+P2(a1,f7(x221,x222))
% 5.44/5.50 [23]~P1(x232)+~P1(x231)+P3(f3(x231,x232),f3(x232,x231))
% 5.44/5.50 [24]~P1(x242)+~P1(x241)+P3(f7(x241,x242),f7(x242,x241))
% 5.44/5.50 [17]~P3(x171,x173)+P3(x171,x172)+~P3(x173,x172)
% 5.44/5.50 [19]~P2(x193,x192)+P2(x191,x192)+~P3(x193,x191)
% 5.44/5.50 [20]~P2(x201,x203)+P2(x201,x202)+~P2(x203,x202)
% 5.44/5.50 [25]~P1(x252)+~P3(x251,x253)+P3(f3(x251,x252),f3(x253,x252))
% 5.44/5.50 [26]~P1(x262)+~P3(x261,x263)+P3(f7(x261,x262),f7(x263,x262))
% 5.44/5.50 [27]~P1(x272)+~P2(x271,x273)+P2(f3(x271,x272),f3(x273,x272))
% 5.44/5.50 [11]P2(x112,x111)+~P1(x111)+~P1(x112)+P2(x111,x112)
% 5.44/5.50 [28]~P1(x283)+~P1(x282)+~P1(x281)+P3(f3(x281,f3(x282,x283)),f3(f3(x281,x282),x283))
% 5.44/5.50 [29]~P1(x293)+~P1(x292)+~P1(x291)+P3(f7(x291,f7(x292,x293)),f7(f7(x291,x292),x293))
% 5.44/5.50 [30]~P1(x303)+~P1(x302)+~P1(x301)+P3(f3(f7(x301,x302),f7(x303,x302)),f7(f3(x301,x303),x302))
% 5.44/5.50 %EqnAxiom
% 5.44/5.50
% 5.44/5.50 %-------------------------------------------
% 5.44/5.50 cnf(33,plain,
% 5.44/5.50 (P2(a1,a1)),
% 5.44/5.50 inference(scs_inference,[],[1,5,10,11])).
% 5.44/5.50 cnf(418,plain,
% 5.44/5.50 (P3(f3(a1,f5(a2)),f5(a2))),
% 5.44/5.50 inference(scs_inference,[],[3,7,12])).
% 5.44/5.50 cnf(419,plain,
% 5.44/5.50 (~P2(f3(a1,f5(a2)),a1)),
% 5.44/5.50 inference(scs_inference,[],[6,418,19])).
% 5.44/5.50 cnf(485,plain,
% 5.44/5.50 (P2(f3(a1,f5(a2)),f3(a2,f5(a2)))),
% 5.44/5.50 inference(scs_inference,[],[3,4,7,27])).
% 5.44/5.50 cnf(546,plain,
% 5.44/5.50 (P2(a1,f3(a1,f5(a2)))+~P1(f5(a2))),
% 5.44/5.50 inference(scs_inference,[],[419,1,11,14])).
% 5.44/5.50 cnf(614,plain,
% 5.44/5.50 (P2(a1,f3(a1,f5(a2)))),
% 5.44/5.50 inference(scs_inference,[],[3,7,546])).
% 5.44/5.50 cnf(800,plain,
% 5.44/5.50 (P3(a1,f3(a2,f5(a2)))),
% 5.44/5.50 inference(scs_inference,[],[3,10,16])).
% 5.44/5.50 cnf(857,plain,
% 5.44/5.50 (P2(f3(a2,f5(a2)),f3(a1,f5(a2)))),
% 5.44/5.50 inference(scs_inference,[],[614,800,19])).
% 5.44/5.50 cnf(859,plain,
% 5.44/5.50 (P3(f3(a1,f5(a2)),f3(a2,f5(a2)))),
% 5.44/5.50 inference(scs_inference,[],[614,485,800,19,18])).
% 5.44/5.50 cnf(864,plain,
% 5.44/5.50 (P3(f3(a2,f5(a2)),f3(a1,f5(a2)))),
% 5.44/5.50 inference(scs_inference,[],[857,485,18])).
% 5.44/5.50 cnf(868,plain,
% 5.44/5.50 (~P2(f3(a2,f5(a2)),a1)),
% 5.44/5.50 inference(scs_inference,[],[857,419,485,418,18,17,19])).
% 5.44/5.50 cnf(873,plain,
% 5.44/5.50 ($false),
% 5.44/5.50 inference(scs_inference,[],[859,868,864,33,800,17,19]),
% 5.44/5.50 ['proof']).
% 5.44/5.50 % SZS output end Proof
% 5.44/5.50 % Total time :4.870000s
%------------------------------------------------------------------------------