%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : FLD059-1 : TPTP v8.2.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% Computer : n017.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 05:55:31 EDT 2024
% Result : Unsatisfiable 14.06s 14.18s
% Output : CNFRefutation 14.06s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : FLD059-1 : TPTP v8.2.0. Bugfixed v2.1.0.
% 0.12/0.12 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.12/0.34 % Computer : n017.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 : Wed Jun 19 10:25:39 EDT 2024
% 0.12/0.35 % CPUTime :
% 0.55/0.60 start to proof:theBenchmark
% 14.06/14.17 %-------------------------------------------
% 14.06/14.17 % File :CSE---1.7
% 14.06/14.17 % Problem :theBenchmark
% 14.06/14.17 % Transform :cnf
% 14.06/14.17 % Format :tptp:raw
% 14.06/14.17 % Command :java -jar mcs_scs.jar %d %s
% 14.06/14.17
% 14.06/14.17 % Result :Theorem 13.540000s
% 14.06/14.17 % Output :CNFRefutation 13.540000s
% 14.06/14.17 %-------------------------------------------
% 14.06/14.17 %--------------------------------------------------------------------------
% 14.06/14.17 % File : FLD059-1 : TPTP v8.2.0. Bugfixed v2.1.0.
% 14.06/14.17 % Domain : Field Theory (Ordered fields)
% 14.06/14.17 % Problem : If a greater or equal 0, then 2a greater or equal 0
% 14.06/14.17 % Version : [Dra93] axioms : Especial.
% 14.06/14.17 % Theorem formulation : Functional with glxx axiom set.
% 14.06/14.17 % English :
% 14.06/14.17
% 14.06/14.18 % Refs : [Dra93] Draeger (1993), Anwendung des Theorembeweisers SETHEO
% 14.06/14.18 % Source : [Dra93]
% 14.06/14.18 % Names :
% 14.06/14.18
% 14.06/14.18 % Status : Unsatisfiable
% 14.06/14.18 % Rating : 0.00 v6.3.0, 0.14 v6.2.0, 0.00 v5.5.0, 0.12 v5.4.0, 0.10 v5.2.0, 0.00 v5.0.0, 0.14 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
% 14.06/14.18 % Syntax : Number of clauses : 30 ( 6 unt; 3 nHn; 30 RR)
% 14.06/14.18 % Number of literals : 76 ( 0 equ; 45 neg)
% 14.06/14.18 % Maximal clause size : 4 ( 2 avg)
% 14.06/14.18 % Maximal term depth : 3 ( 1 avg)
% 14.06/14.18 % Number of predicates : 3 ( 3 usr; 0 prp; 1-2 aty)
% 14.06/14.18 % Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% 14.06/14.18 % Number of variables : 50 ( 0 sgn)
% 14.06/14.18 % SPC : CNF_UNS_RFO_NEQ_NHN
% 14.06/14.18
% 14.06/14.18 % Comments :
% 14.06/14.18 % Bugfixes : v2.1.0 - Bugfix in FLD001-0.ax
% 14.06/14.18 %--------------------------------------------------------------------------
% 14.06/14.18 include('Axioms/FLD001-0.ax').
% 14.06/14.18 %--------------------------------------------------------------------------
% 14.06/14.18 cnf(a_is_defined,hypothesis,
% 14.06/14.18 defined(a) ).
% 14.06/14.18
% 14.06/14.18 cnf(less_or_equal_2,negated_conjecture,
% 14.06/14.18 less_or_equal(additive_identity,a) ).
% 14.06/14.18
% 14.06/14.18 cnf(not_less_or_equal_3,negated_conjecture,
% 14.06/14.18 ~ less_or_equal(additive_identity,add(a,a)) ).
% 14.06/14.18
% 14.06/14.18 %--------------------------------------------------------------------------
% 14.06/14.18 %-------------------------------------------
% 14.06/14.18 % Proof found
% 14.06/14.18 % SZS status Theorem for theBenchmark
% 14.06/14.18 % SZS output start Proof
% 14.06/14.18 %ClaNum:30(EqnAxiom:0)
% 14.06/14.18 %VarNum:128(SingletonVarNum:50)
% 14.06/14.18 %MaxLitNum:4
% 14.06/14.18 %MaxfuncDepth:2
% 14.06/14.18 %SharedTerms:10
% 14.06/14.18 %goalClause: 4 6
% 14.06/14.18 %singleGoalClaCount:2
% 14.06/14.18 [1]P1(a1)
% 14.06/14.18 [2]P1(a4)
% 14.06/14.18 [3]P1(a2)
% 14.06/14.18 [4]P2(a1,a2)
% 14.06/14.18 [5]~P3(a1,a4)
% 14.06/14.18 [6]~P2(a1,f3(a2,a2))
% 14.06/14.18 [8]~P1(x81)+P3(x81,x81)
% 14.06/14.18 [7]~P1(x71)+P1(f5(x71))
% 14.06/14.18 [12]~P1(x121)+P3(f3(a1,x121),x121)
% 14.06/14.18 [13]~P1(x131)+P3(f7(a4,x131),x131)
% 14.06/14.18 [16]~P1(x161)+P3(f3(x161,f5(x161)),a1)
% 14.06/14.18 [10]~P3(x102,x101)+P3(x101,x102)
% 14.06/14.18 [9]~P1(x91)+P3(x91,a1)+P1(f6(x91))
% 14.06/14.18 [21]~P1(x211)+P3(x211,a1)+P3(f7(x211,f6(x211)),a4)
% 14.06/14.18 [18]~P2(x182,x181)+~P2(x181,x182)+P3(x181,x182)
% 14.06/14.18 [14]~P1(x142)+~P1(x141)+P1(f3(x141,x142))
% 14.06/14.18 [15]~P1(x152)+~P1(x151)+P1(f7(x151,x152))
% 14.06/14.18 [22]~P2(a1,x222)+~P2(a1,x221)+P2(a1,f7(x221,x222))
% 14.06/14.18 [23]~P1(x232)+~P1(x231)+P3(f3(x231,x232),f3(x232,x231))
% 14.06/14.18 [24]~P1(x242)+~P1(x241)+P3(f7(x241,x242),f7(x242,x241))
% 14.06/14.18 [17]~P3(x171,x173)+P3(x171,x172)+~P3(x173,x172)
% 14.06/14.18 [19]~P2(x193,x192)+P2(x191,x192)+~P3(x193,x191)
% 14.06/14.18 [20]~P2(x201,x203)+P2(x201,x202)+~P2(x203,x202)
% 14.06/14.18 [25]~P1(x252)+~P3(x251,x253)+P3(f3(x251,x252),f3(x253,x252))
% 14.06/14.18 [26]~P1(x262)+~P3(x261,x263)+P3(f7(x261,x262),f7(x263,x262))
% 14.06/14.18 [27]~P1(x272)+~P2(x271,x273)+P2(f3(x271,x272),f3(x273,x272))
% 14.06/14.18 [11]P2(x112,x111)+~P1(x111)+~P1(x112)+P2(x111,x112)
% 14.06/14.18 [28]~P1(x283)+~P1(x282)+~P1(x281)+P3(f3(x281,f3(x282,x283)),f3(f3(x281,x282),x283))
% 14.06/14.18 [29]~P1(x293)+~P1(x292)+~P1(x291)+P3(f7(x291,f7(x292,x293)),f7(f7(x291,x292),x293))
% 14.06/14.18 [30]~P1(x303)+~P1(x302)+~P1(x301)+P3(f3(f7(x301,x302),f7(x303,x302)),f7(f3(x301,x303),x302))
% 14.06/14.18 %EqnAxiom
% 14.06/14.18
% 14.06/14.18 %-------------------------------------------
% 14.06/14.18 cnf(33,plain,
% 14.06/14.18 (P2(a1,a1)),
% 14.06/14.18 inference(scs_inference,[],[1,5,10,11])).
% 14.06/14.18 cnf(160,plain,
% 14.06/14.18 (P1(f5(f7(a2,a2)))),
% 14.06/14.18 inference(scs_inference,[],[3,7,15])).
% 14.06/14.18 cnf(161,plain,
% 14.06/14.18 (P2(f5(f7(a2,a2)),f5(f7(a2,a2)))),
% 14.06/14.18 inference(scs_inference,[],[160,11])).
% 14.06/14.18 cnf(163,plain,
% 14.06/14.18 (P3(f3(a1,f5(a2)),f5(a2))),
% 14.06/14.18 inference(scs_inference,[],[3,7,12])).
% 14.06/14.18 cnf(166,plain,
% 14.06/14.18 (~P2(f3(a1,f5(a2)),x1661)+P2(f5(a2),x1661)),
% 14.06/14.18 inference(scs_inference,[],[161,163,18,19])).
% 14.06/14.18 cnf(171,plain,
% 14.06/14.18 (~P2(f3(a1,f5(a2)),a1)+P2(f5(a2),a2)),
% 14.06/14.18 inference(scs_inference,[],[4,166,20])).
% 14.06/14.18 cnf(177,plain,
% 14.06/14.18 (P2(f3(f5(a2),a2),f3(a2,a2))+~P2(f3(a1,f5(a2)),a1)),
% 14.06/14.18 inference(scs_inference,[],[3,171,27])).
% 14.06/14.18 cnf(182,plain,
% 14.06/14.18 (~P3(f3(f5(a2),a2),a1)+~P2(f3(a1,f5(a2)),a1)),
% 14.06/14.18 inference(scs_inference,[],[6,177,19])).
% 14.06/14.18 cnf(369,plain,
% 14.06/14.18 (P2(f3(a1,f5(a2)),f3(a2,f5(a2)))),
% 14.06/14.18 inference(scs_inference,[],[3,4,7,27])).
% 14.06/14.18 cnf(585,plain,
% 14.06/14.18 (P3(a1,f3(a2,f5(a2)))),
% 14.06/14.18 inference(scs_inference,[],[3,10,16])).
% 14.06/14.18 cnf(664,plain,
% 14.06/14.18 (P2(f3(a2,f5(a2)),a1)),
% 14.06/14.18 inference(scs_inference,[],[33,585,19])).
% 14.06/14.18 cnf(798,plain,
% 14.06/14.18 (~P3(f3(f5(a2),a2),a1)),
% 14.06/14.18 inference(scs_inference,[],[369,664,20,177,182])).
% 14.06/14.18 cnf(1263,plain,
% 14.06/14.18 (~P3(f3(a2,f5(a2)),f3(f5(a2),a2))),
% 14.06/14.18 inference(scs_inference,[],[798,585,10,17])).
% 14.06/14.18 cnf(1268,plain,
% 14.06/14.18 ($false),
% 14.06/14.18 inference(scs_inference,[],[3,1263,10,23,7]),
% 14.06/14.18 ['proof']).
% 14.06/14.18 % SZS output end Proof
% 14.06/14.18 % Total time :13.540000s
%------------------------------------------------------------------------------