%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : FLD059-3 : 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 05:55:31 EDT 2024
% Result : Unsatisfiable 1.87s 1.92s
% Output : CNFRefutation 1.87s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : FLD059-3 : TPTP v8.2.0. Bugfixed v2.1.0.
% 0.03/0.13 % 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
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Wed Jun 19 10:10:39 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.53/0.58 start to proof:theBenchmark
% 1.87/1.92 %-------------------------------------------
% 1.87/1.92 % File :CSE---1.7
% 1.87/1.92 % Problem :theBenchmark
% 1.87/1.92 % Transform :cnf
% 1.87/1.92 % Format :tptp:raw
% 1.87/1.92 % Command :java -jar mcs_scs.jar %d %s
% 1.87/1.92
% 1.87/1.92 % Result :Theorem 1.300000s
% 1.87/1.92 % Output :CNFRefutation 1.300000s
% 1.87/1.92 %-------------------------------------------
% 1.87/1.92 %--------------------------------------------------------------------------
% 1.87/1.92 % File : FLD059-3 : TPTP v8.2.0. Bugfixed v2.1.0.
% 1.87/1.92 % Domain : Field Theory (Ordered fields)
% 1.87/1.92 % Problem : If a greater or equal 0, then 2a greater or equal 0
% 1.87/1.92 % Version : [Dra93] axioms : Especial.
% 1.87/1.92 % Theorem formulation : Functional with re axiom set.
% 1.87/1.92 % English :
% 1.87/1.92
% 1.87/1.92 % Refs : [Dra93] Draeger (1993), Anwendung des Theorembeweisers SETHEO
% 1.87/1.92 % Source : [Dra93]
% 1.87/1.92 % Names :
% 1.87/1.92
% 1.87/1.92 % Status : Unsatisfiable
% 1.87/1.92 % 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 v2.1.0
% 1.87/1.92 % Syntax : Number of clauses : 29 ( 6 unt; 3 nHn; 29 RR)
% 1.87/1.92 % Number of literals : 80 ( 0 equ; 50 neg)
% 1.87/1.92 % Maximal clause size : 5 ( 2 avg)
% 1.87/1.92 % Maximal term depth : 2 ( 1 avg)
% 1.87/1.92 % Number of predicates : 4 ( 4 usr; 0 prp; 1-3 aty)
% 1.87/1.92 % Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% 1.87/1.92 % Number of variables : 73 ( 0 sgn)
% 1.87/1.92 % SPC : CNF_UNS_RFO_NEQ_NHN
% 1.87/1.92
% 1.87/1.92 % Comments :
% 1.87/1.92 % Bugfixes : v2.1.0 - Bugfix in FLD002-0.ax
% 1.87/1.92 %--------------------------------------------------------------------------
% 1.87/1.92 include('Axioms/FLD002-0.ax').
% 1.87/1.92 %--------------------------------------------------------------------------
% 1.87/1.92 cnf(a_is_defined,hypothesis,
% 1.87/1.92 defined(a) ).
% 1.87/1.92
% 1.87/1.92 cnf(less_or_equal_2,negated_conjecture,
% 1.87/1.92 less_or_equal(additive_identity,a) ).
% 1.87/1.92
% 1.87/1.92 cnf(not_less_or_equal_3,negated_conjecture,
% 1.87/1.92 ~ less_or_equal(additive_identity,add(a,a)) ).
% 1.87/1.92
% 1.87/1.92 %--------------------------------------------------------------------------
% 1.87/1.92 %-------------------------------------------
% 1.87/1.92 % Proof found
% 1.87/1.92 % SZS status Theorem for theBenchmark
% 1.87/1.92 % SZS output start Proof
% 1.87/1.93 %ClaNum:29(EqnAxiom:0)
% 1.87/1.93 %VarNum:162(SingletonVarNum:73)
% 1.87/1.93 %MaxLitNum:5
% 1.87/1.93 %MaxfuncDepth:1
% 1.87/1.93 %SharedTerms:10
% 1.87/1.93 %goalClause: 4 5
% 1.87/1.93 %singleGoalClaCount:2
% 1.87/1.93 [1]P1(a1)
% 1.87/1.93 [2]P1(a4)
% 1.87/1.93 [3]P1(a2)
% 1.87/1.93 [4]P2(a1,a2)
% 1.87/1.93 [6]~P3(a1,a1,a4)
% 1.87/1.93 [5]~P2(a1,f3(a2,a2))
% 1.87/1.93 [12]~P1(x121)+P3(a1,x121,x121)
% 1.87/1.93 [13]~P1(x131)+P4(a4,x131,x131)
% 1.87/1.93 [7]~P1(x71)+P1(f5(x71))
% 1.87/1.93 [14]~P1(x141)+P3(f5(x141),x141,a1)
% 1.87/1.93 [21]~P3(x212,x211,x213)+P3(x211,x212,x213)
% 1.87/1.93 [22]~P4(x222,x221,x223)+P4(x221,x222,x223)
% 1.87/1.93 [15]~P1(x151)+P3(a1,x151,a1)+P1(f7(x151))
% 1.87/1.93 [19]~P1(x191)+P4(f7(x191),x191,a4)+P3(a1,x191,a1)
% 1.87/1.93 [18]~P2(x182,x181)+~P2(x181,x182)+P3(a1,x181,x182)
% 1.87/1.93 [9]~P1(x92)+~P1(x91)+P1(f3(x91,x92))
% 1.87/1.93 [10]~P1(x102)+~P1(x101)+P1(f6(x101,x102))
% 1.87/1.93 [16]~P1(x162)+~P1(x161)+P3(x161,x162,f3(x161,x162))
% 1.87/1.93 [17]~P1(x172)+~P1(x171)+P4(x171,x172,f6(x171,x172))
% 1.87/1.93 [11]~P2(x111,x113)+P2(x111,x112)+~P2(x113,x112)
% 1.87/1.93 [8]P2(x82,x81)+~P1(x81)+~P1(x82)+P2(x81,x82)
% 1.87/1.93 [20]~P4(x203,x202,x201)+P2(a1,x201)+~P2(a1,x202)+~P2(a1,x203)
% 1.87/1.93 [23]~P3(x233,x235,x231)+P2(x231,x232)+~P3(x234,x235,x232)+~P2(x233,x234)
% 1.87/1.93 [24]~P3(x241,x246,x244)+P3(x241,x242,x243)+~P3(x244,x245,x243)+~P3(x246,x245,x242)
% 1.87/1.93 [25]~P3(x256,x254,x251)+P3(x251,x252,x253)+~P3(x254,x252,x255)+~P3(x256,x255,x253)
% 1.87/1.93 [26]~P4(x261,x266,x264)+P4(x261,x262,x263)+~P4(x264,x265,x263)+~P4(x266,x265,x262)
% 1.87/1.93 [27]~P4(x276,x274,x271)+P4(x271,x272,x273)+~P4(x274,x272,x275)+~P4(x276,x275,x273)
% 1.87/1.93 [28]~P4(x285,x287,x282)+~P4(x284,x287,x281)+P3(x281,x282,x283)+~P3(x284,x285,x286)+~P4(x286,x287,x283)
% 1.87/1.93 [29]~P4(x297,x292,x295)+~P4(x296,x292,x294)+P4(x291,x292,x293)+~P3(x294,x295,x293)+~P3(x296,x297,x291)
% 1.87/1.93 %EqnAxiom
% 1.87/1.93
% 1.87/1.93 %-------------------------------------------
% 1.87/1.93 cnf(67,plain,
% 1.87/1.93 (P3(f5(f5(a2)),f5(a2),a1)),
% 1.87/1.93 inference(scs_inference,[],[3,14,7])).
% 1.87/1.93 cnf(78,plain,
% 1.87/1.93 (~P3(a2,x781,f3(a2,a2))+~P3(f5(a2),x781,f5(a2))),
% 1.87/1.93 inference(scs_inference,[],[4,5,67,25,23])).
% 1.87/1.93 cnf(382,plain,
% 1.87/1.93 (~P3(x3821,f5(a2),f5(a2))+~P3(a2,x3821,f3(a2,a2))),
% 1.87/1.93 inference(scs_inference,[],[78,21])).
% 1.87/1.93 cnf(446,plain,
% 1.87/1.93 (~P1(f5(a2))+~P3(a2,a1,f3(a2,a2))),
% 1.87/1.93 inference(scs_inference,[],[382,12])).
% 1.87/1.93 cnf(462,plain,
% 1.87/1.93 (~P3(a2,a1,f3(a2,a2))),
% 1.87/1.93 inference(scs_inference,[],[3,446,7])).
% 1.87/1.93 cnf(465,plain,
% 1.87/1.93 (~P2(a2,f3(a2,a2))+~P2(f3(a2,a2),a2)),
% 1.87/1.93 inference(scs_inference,[],[462,21,18])).
% 1.87/1.93 cnf(484,plain,
% 1.87/1.93 (~P3(a1,x4841,a2)+~P3(a2,x4841,f3(a2,a2))+~P2(f3(a2,a2),a2)),
% 1.87/1.93 inference(scs_inference,[],[4,465,23])).
% 1.87/1.93 cnf(675,plain,
% 1.87/1.93 (~P2(f3(a2,a2),a1)+~P2(a2,f3(a2,a2))),
% 1.87/1.93 inference(scs_inference,[],[4,11,465])).
% 1.87/1.93 cnf(691,plain,
% 1.87/1.93 (~P1(f3(a2,a2))+P2(f3(a2,a2),a2)+~P2(f3(a2,a2),a1)),
% 1.87/1.93 inference(scs_inference,[],[3,675,8])).
% 1.87/1.93 cnf(849,plain,
% 1.87/1.93 (~P1(f3(a2,a2))+P2(f3(a2,a2),a2)),
% 1.87/1.93 inference(scs_inference,[],[1,5,691,8])).
% 1.87/1.93 cnf(865,plain,
% 1.87/1.93 (P2(f3(a2,a2),a2)),
% 1.87/1.93 inference(scs_inference,[],[3,849,9])).
% 1.87/1.93 cnf(867,plain,
% 1.87/1.93 (~P3(a2,x8671,f3(a2,a2))+~P3(a1,x8671,a2)),
% 1.87/1.93 inference(scs_inference,[],[865,484])).
% 1.87/1.93 cnf(901,plain,
% 1.87/1.93 (~P3(a1,a2,a2)),
% 1.87/1.93 inference(scs_inference,[],[3,867,16])).
% 1.87/1.93 cnf(904,plain,
% 1.87/1.93 ($false),
% 1.87/1.93 inference(scs_inference,[],[901,3,21,12]),
% 1.87/1.93 ['proof']).
% 1.87/1.93 % SZS output end Proof
% 1.87/1.93 % Total time :1.300000s
%------------------------------------------------------------------------------