TSTP Solution File: FLD059-1 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : FLD059-1 : 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 : n010.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 22:26:52 EDT 2023
% Result : Unsatisfiable 0.16s 0.62s
% Output : CNFRefutation 0.16s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : FLD059-1 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.00/0.11 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.11/0.31 % Computer : n010.cluster.edu
% 0.11/0.31 % Model : x86_64 x86_64
% 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31 % Memory : 8042.1875MB
% 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31 % CPULimit : 300
% 0.11/0.31 % WCLimit : 300
% 0.11/0.31 % DateTime : Sun Aug 27 23:27:34 EDT 2023
% 0.11/0.31 % CPUTime :
% 0.16/0.55 start to proof:theBenchmark
% 0.16/0.62 %-------------------------------------------
% 0.16/0.62 % File :CSE---1.6
% 0.16/0.62 % Problem :theBenchmark
% 0.16/0.62 % Transform :cnf
% 0.16/0.62 % Format :tptp:raw
% 0.16/0.62 % Command :java -jar mcs_scs.jar %d %s
% 0.16/0.62
% 0.16/0.62 % Result :Theorem 0.010000s
% 0.16/0.62 % Output :CNFRefutation 0.010000s
% 0.16/0.62 %-------------------------------------------
% 0.16/0.62 %--------------------------------------------------------------------------
% 0.16/0.62 % File : FLD059-1 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.16/0.62 % Domain : Field Theory (Ordered fields)
% 0.16/0.62 % Problem : If a greater or equal 0, then 2a greater or equal 0
% 0.16/0.62 % Version : [Dra93] axioms : Especial.
% 0.16/0.62 % Theorem formulation : Functional with glxx axiom set.
% 0.16/0.62 % English :
% 0.16/0.62
% 0.16/0.62 % Refs : [Dra93] Draeger (1993), Anwendung des Theorembeweisers SETHEO
% 0.16/0.62 % Source : [Dra93]
% 0.16/0.62 % Names :
% 0.16/0.62
% 0.16/0.62 % Status : Unsatisfiable
% 0.16/0.62 % 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
% 0.16/0.62 % Syntax : Number of clauses : 30 ( 6 unt; 3 nHn; 30 RR)
% 0.16/0.62 % Number of literals : 76 ( 0 equ; 45 neg)
% 0.16/0.62 % Maximal clause size : 4 ( 2 avg)
% 0.16/0.62 % Maximal term depth : 3 ( 1 avg)
% 0.16/0.62 % Number of predicates : 3 ( 3 usr; 0 prp; 1-2 aty)
% 0.16/0.62 % Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% 0.16/0.62 % Number of variables : 50 ( 0 sgn)
% 0.16/0.62 % SPC : CNF_UNS_RFO_NEQ_NHN
% 0.16/0.62
% 0.16/0.62 % Comments :
% 0.16/0.62 % Bugfixes : v2.1.0 - Bugfix in FLD001-0.ax
% 0.16/0.62 %--------------------------------------------------------------------------
% 0.16/0.62 include('Axioms/FLD001-0.ax').
% 0.16/0.62 %--------------------------------------------------------------------------
% 0.16/0.62 cnf(a_is_defined,hypothesis,
% 0.16/0.62 defined(a) ).
% 0.16/0.62
% 0.16/0.62 cnf(less_or_equal_2,negated_conjecture,
% 0.16/0.62 less_or_equal(additive_identity,a) ).
% 0.16/0.62
% 0.16/0.62 cnf(not_less_or_equal_3,negated_conjecture,
% 0.16/0.62 ~ less_or_equal(additive_identity,add(a,a)) ).
% 0.16/0.62
% 0.16/0.62 %--------------------------------------------------------------------------
% 0.16/0.62 %-------------------------------------------
% 0.16/0.62 % Proof found
% 0.16/0.62 % SZS status Theorem for theBenchmark
% 0.16/0.62 % SZS output start Proof
% 0.16/0.62 %ClaNum:30(EqnAxiom:0)
% 0.16/0.62 %VarNum:128(SingletonVarNum:50)
% 0.16/0.62 %MaxLitNum:4
% 0.16/0.62 %MaxfuncDepth:2
% 0.16/0.62 %SharedTerms:10
% 0.16/0.62 %goalClause: 4 6
% 0.16/0.62 %singleGoalClaCount:2
% 0.16/0.62 [1]P1(a1)
% 0.16/0.62 [2]P1(a4)
% 0.16/0.63 [3]P1(a2)
% 0.16/0.63 [4]P2(a1,a2)
% 0.16/0.63 [5]~P3(a1,a4)
% 0.16/0.63 [6]~P2(a1,f3(a2,a2))
% 0.16/0.63 [8]~P1(x81)+P3(x81,x81)
% 0.16/0.63 [7]~P1(x71)+P1(f5(x71))
% 0.16/0.63 [12]~P1(x121)+P3(f3(a1,x121),x121)
% 0.16/0.63 [13]~P1(x131)+P3(f7(a4,x131),x131)
% 0.16/0.63 [16]~P1(x161)+P3(f3(x161,f5(x161)),a1)
% 0.16/0.63 [10]~P3(x102,x101)+P3(x101,x102)
% 0.16/0.63 [9]~P1(x91)+P3(x91,a1)+P1(f6(x91))
% 0.16/0.63 [21]~P1(x211)+P3(x211,a1)+P3(f7(x211,f6(x211)),a4)
% 0.16/0.63 [18]~P2(x182,x181)+~P2(x181,x182)+P3(x181,x182)
% 0.16/0.63 [14]~P1(x142)+~P1(x141)+P1(f3(x141,x142))
% 0.16/0.63 [15]~P1(x152)+~P1(x151)+P1(f7(x151,x152))
% 0.16/0.63 [22]~P2(a1,x222)+~P2(a1,x221)+P2(a1,f7(x221,x222))
% 0.16/0.63 [23]~P1(x232)+~P1(x231)+P3(f3(x231,x232),f3(x232,x231))
% 0.16/0.63 [24]~P1(x242)+~P1(x241)+P3(f7(x241,x242),f7(x242,x241))
% 0.16/0.63 [17]~P3(x171,x173)+P3(x171,x172)+~P3(x173,x172)
% 0.16/0.63 [19]~P2(x193,x192)+P2(x191,x192)+~P3(x193,x191)
% 0.16/0.63 [20]~P2(x201,x203)+P2(x201,x202)+~P2(x203,x202)
% 0.16/0.63 [25]~P1(x252)+~P3(x251,x253)+P3(f3(x251,x252),f3(x253,x252))
% 0.16/0.63 [26]~P1(x262)+~P3(x261,x263)+P3(f7(x261,x262),f7(x263,x262))
% 0.16/0.63 [27]~P1(x272)+~P2(x271,x273)+P2(f3(x271,x272),f3(x273,x272))
% 0.16/0.63 [11]P2(x112,x111)+~P1(x111)+~P1(x112)+P2(x111,x112)
% 0.16/0.63 [28]~P1(x283)+~P1(x282)+~P1(x281)+P3(f3(x281,f3(x282,x283)),f3(f3(x281,x282),x283))
% 0.16/0.63 [29]~P1(x293)+~P1(x292)+~P1(x291)+P3(f7(x291,f7(x292,x293)),f7(f7(x291,x292),x293))
% 0.16/0.63 [30]~P1(x303)+~P1(x302)+~P1(x301)+P3(f3(f7(x301,x302),f7(x303,x302)),f7(f3(x301,x303),x302))
% 0.16/0.63 %EqnAxiom
% 0.16/0.63
% 0.16/0.63 %-------------------------------------------
% 0.16/0.63 cnf(32,plain,
% 0.16/0.63 (P2(a1,a1)),
% 0.16/0.63 inference(scs_inference,[],[1,5,10,11])).
% 0.16/0.63 cnf(41,plain,
% 0.16/0.63 (P3(f3(a1,f5(a1)),a1)),
% 0.16/0.63 inference(scs_inference,[],[1,5,10,11,8,13,12,7,16])).
% 0.16/0.63 cnf(43,plain,
% 0.16/0.63 (~P2(a2,f3(a2,a2))),
% 0.16/0.63 inference(scs_inference,[],[4,1,5,6,10,11,8,13,12,7,16,20])).
% 0.16/0.63 cnf(59,plain,
% 0.16/0.63 (P3(f3(a1,a1),f3(a1,a1))),
% 0.16/0.63 inference(scs_inference,[],[4,1,2,5,6,10,11,8,13,12,7,16,20,18,22,15,14,9,27,26,25])).
% 0.16/0.63 cnf(71,plain,
% 0.16/0.63 (P3(f3(f7(a1,a1),f7(a1,a1)),f7(f3(a1,a1),a1))),
% 0.16/0.63 inference(scs_inference,[],[4,1,2,5,6,10,11,8,13,12,7,16,20,18,22,15,14,9,27,26,25,24,23,21,29,28,30])).
% 0.16/0.63 cnf(73,plain,
% 0.16/0.63 (~P3(x731,a2)+~P2(x731,f3(a2,a2))),
% 0.16/0.63 inference(scs_inference,[],[4,1,2,5,6,10,11,8,13,12,7,16,20,18,22,15,14,9,27,26,25,24,23,21,29,28,30,19])).
% 0.16/0.63 cnf(109,plain,
% 0.16/0.63 ($false),
% 0.16/0.63 inference(scs_inference,[],[4,3,6,59,71,41,32,43,10,15,14,26,25,11,28,30,17,22,27,24,23,29,19,73,12]),
% 0.16/0.63 ['proof']).
% 0.16/0.63 % SZS output end Proof
% 0.16/0.63 % Total time :0.010000s
%------------------------------------------------------------------------------