%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : FLD018-3 : 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 : n004.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 05:55:14 EDT 2024
% Result : Unsatisfiable 14.78s 14.92s
% Output : CNFRefutation 14.78s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : FLD018-3 : TPTP v8.2.0. Bugfixed v2.1.0.
% 0.00/0.10 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.10/0.30 % Computer : n004.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % WCLimit : 300
% 0.10/0.30 % DateTime : Wed Jun 19 11:13:24 EDT 2024
% 0.10/0.31 % CPUTime :
% 0.16/0.55 start to proof:theBenchmark
% 14.78/14.91 %-------------------------------------------
% 14.78/14.91 % File :CSE---1.7
% 14.78/14.91 % Problem :theBenchmark
% 14.78/14.91 % Transform :cnf
% 14.78/14.91 % Format :tptp:raw
% 14.78/14.91 % Command :java -jar mcs_scs.jar %d %s
% 14.78/14.91
% 14.78/14.91 % Result :Theorem 14.290000s
% 14.78/14.91 % Output :CNFRefutation 14.290000s
% 14.78/14.91 %-------------------------------------------
% 14.78/14.92 %--------------------------------------------------------------------------
% 14.78/14.92 % File : FLD018-3 : TPTP v8.2.0. Bugfixed v2.1.0.
% 14.78/14.92 % Domain : Field Theory (Ordered fields)
% 14.78/14.92 % Problem : If a is zero, the additive inverse of a is also zero
% 14.78/14.92 % Version : [Dra93] axioms : Especial.
% 14.78/14.92 % Theorem formulation : Functional with re axiom set.
% 14.78/14.92 % English :
% 14.78/14.92
% 14.78/14.92 % Refs : [Dra93] Draeger (1993), Anwendung des Theorembeweisers SETHEO
% 14.78/14.92 % Source : [Dra93]
% 14.78/14.92 % Names :
% 14.78/14.92
% 14.78/14.92 % Status : Unsatisfiable
% 14.78/14.92 % Rating : 0.00 v2.2.1, 0.33 v2.1.0
% 14.78/14.92 % Syntax : Number of clauses : 29 ( 6 unt; 3 nHn; 29 RR)
% 14.78/14.92 % Number of literals : 80 ( 0 equ; 50 neg)
% 14.78/14.92 % Maximal clause size : 5 ( 2 avg)
% 14.78/14.92 % Maximal term depth : 2 ( 1 avg)
% 14.78/14.92 % Number of predicates : 4 ( 4 usr; 0 prp; 1-3 aty)
% 14.78/14.92 % Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% 14.78/14.92 % Number of variables : 73 ( 0 sgn)
% 14.78/14.92 % SPC : CNF_UNS_RFO_NEQ_NHN
% 14.78/14.92
% 14.78/14.92 % Comments :
% 14.78/14.92 % Bugfixes : v2.1.0 - Bugfix in FLD002-0.ax
% 14.78/14.92 %--------------------------------------------------------------------------
% 14.78/14.92 include('Axioms/FLD002-0.ax').
% 14.78/14.92 %--------------------------------------------------------------------------
% 14.78/14.92 cnf(a_is_defined,hypothesis,
% 14.78/14.92 defined(a) ).
% 14.78/14.92
% 14.78/14.92 cnf(sum_2,negated_conjecture,
% 14.78/14.92 sum(additive_identity,a,additive_identity) ).
% 14.78/14.92
% 14.78/14.92 cnf(not_sum_3,negated_conjecture,
% 14.78/14.92 ~ sum(additive_identity,additive_inverse(a),additive_identity) ).
% 14.78/14.92
% 14.78/14.92 %--------------------------------------------------------------------------
% 14.78/14.92 %-------------------------------------------
% 14.78/14.92 % Proof found
% 14.78/14.92 % SZS status Theorem for theBenchmark
% 14.78/14.92 % SZS output start Proof
% 14.78/14.92 %ClaNum:29(EqnAxiom:0)
% 14.78/14.92 %VarNum:162(SingletonVarNum:73)
% 14.78/14.92 %MaxLitNum:5
% 14.78/14.92 %MaxfuncDepth:1
% 14.78/14.92 %SharedTerms:10
% 14.78/14.92 %goalClause: 4 6
% 14.78/14.92 %singleGoalClaCount:2
% 14.78/14.92 [1]P1(a1)
% 14.78/14.92 [2]P1(a4)
% 14.78/14.92 [3]P1(a2)
% 14.78/14.92 [4]P2(a1,a2,a1)
% 14.78/14.92 [5]~P2(a1,a1,a4)
% 14.78/14.92 [6]~P2(a1,f5(a2),a1)
% 14.78/14.92 [12]~P1(x121)+P2(a1,x121,x121)
% 14.78/14.92 [13]~P1(x131)+P4(a4,x131,x131)
% 14.78/14.92 [7]~P1(x71)+P1(f5(x71))
% 14.78/14.92 [14]~P1(x141)+P2(f5(x141),x141,a1)
% 14.78/14.92 [21]~P2(x212,x211,x213)+P2(x211,x212,x213)
% 14.78/14.92 [22]~P4(x222,x221,x223)+P4(x221,x222,x223)
% 14.78/14.92 [15]~P1(x151)+P2(a1,x151,a1)+P1(f7(x151))
% 14.78/14.92 [19]~P1(x191)+P4(f7(x191),x191,a4)+P2(a1,x191,a1)
% 14.78/14.92 [18]~P3(x182,x181)+~P3(x181,x182)+P2(a1,x181,x182)
% 14.78/14.92 [9]~P1(x92)+~P1(x91)+P1(f3(x91,x92))
% 14.78/14.92 [10]~P1(x102)+~P1(x101)+P1(f6(x101,x102))
% 14.78/14.92 [16]~P1(x162)+~P1(x161)+P2(x161,x162,f3(x161,x162))
% 14.78/14.92 [17]~P1(x172)+~P1(x171)+P4(x171,x172,f6(x171,x172))
% 14.78/14.92 [11]~P3(x111,x113)+P3(x111,x112)+~P3(x113,x112)
% 14.78/14.92 [8]P3(x82,x81)+~P1(x81)+~P1(x82)+P3(x81,x82)
% 14.78/14.92 [20]~P4(x203,x202,x201)+P3(a1,x201)+~P3(a1,x202)+~P3(a1,x203)
% 14.78/14.92 [23]~P2(x233,x235,x231)+P3(x231,x232)+~P2(x234,x235,x232)+~P3(x233,x234)
% 14.78/14.92 [24]~P2(x241,x246,x244)+P2(x241,x242,x243)+~P2(x244,x245,x243)+~P2(x246,x245,x242)
% 14.78/14.92 [25]~P2(x256,x254,x251)+P2(x251,x252,x253)+~P2(x254,x252,x255)+~P2(x256,x255,x253)
% 14.78/14.92 [26]~P4(x261,x266,x264)+P4(x261,x262,x263)+~P4(x264,x265,x263)+~P4(x266,x265,x262)
% 14.78/14.92 [27]~P4(x276,x274,x271)+P4(x271,x272,x273)+~P4(x274,x272,x275)+~P4(x276,x275,x273)
% 14.78/14.92 [28]~P4(x285,x287,x282)+~P4(x284,x287,x281)+P2(x281,x282,x283)+~P2(x284,x285,x286)+~P4(x286,x287,x283)
% 14.78/14.92 [29]~P4(x297,x292,x295)+~P4(x296,x292,x294)+P4(x291,x292,x293)+~P2(x294,x295,x293)+~P2(x296,x297,x291)
% 14.78/14.92 %EqnAxiom
% 14.78/14.92
% 14.78/14.92 %-------------------------------------------
% 14.78/14.92 cnf(30,plain,
% 14.78/14.92 (~P2(f5(a2),a1,a1)),
% 14.78/14.92 inference(scs_inference,[],[6,21])).
% 14.78/14.92 cnf(34,plain,
% 14.78/14.92 (P3(a1,a1)),
% 14.78/14.92 inference(scs_inference,[],[4,6,1,21,25,8])).
% 14.78/14.92 cnf(792,plain,
% 14.78/14.92 (~P1(f5(a2))+~P2(f5(a2),a1,a2)),
% 14.78/14.92 inference(scs_inference,[],[30,4,25,12])).
% 14.78/14.92 cnf(804,plain,
% 14.78/14.92 (~P2(a1,f5(a2),a2)+~P1(f5(a2))),
% 14.78/14.92 inference(scs_inference,[],[792,21])).
% 14.78/14.92 cnf(820,plain,
% 14.78/14.92 (~P2(a1,f5(a2),a2)),
% 14.78/14.92 inference(scs_inference,[],[3,804,7])).
% 14.78/14.92 cnf(1645,plain,
% 14.78/14.92 (P2(a1,f5(a2),f5(a2))),
% 14.78/14.92 inference(scs_inference,[],[3,7,12])).
% 14.78/14.92 cnf(1757,plain,
% 14.78/14.92 (~P2(a1,a1,x17571)+~P2(x17571,f5(a2),a2)),
% 14.78/14.92 inference(scs_inference,[],[820,1645,24])).
% 14.78/14.92 cnf(1771,plain,
% 14.78/14.92 (~P2(f5(a2),x17711,a2)+~P2(a1,a1,x17711)),
% 14.78/14.92 inference(scs_inference,[],[1757,21])).
% 14.78/14.92 cnf(1787,plain,
% 14.78/14.92 (~P2(a1,x17871,a2)+~P2(f5(a2),x17872,x17871)+~P2(a1,a1,x17872)),
% 14.78/14.92 inference(scs_inference,[],[1645,1771,25])).
% 14.78/14.92 cnf(1867,plain,
% 14.78/14.92 (~P2(a1,a1,a2)),
% 14.78/14.92 inference(scs_inference,[],[3,1787,14])).
% 14.78/14.92 cnf(1874,plain,
% 14.78/14.92 (~P3(a1,a2)+~P2(a2,a1,a2)),
% 14.78/14.92 inference(scs_inference,[],[4,1867,3,1,34,18,8,23,12,21])).
% 14.78/14.92 cnf(2834,plain,
% 14.78/14.92 (P2(a2,a1,a2)),
% 14.78/14.92 inference(scs_inference,[],[3,12,21])).
% 14.78/14.92 cnf(2835,plain,
% 14.78/14.92 (~P3(a1,a2)),
% 14.78/14.92 inference(scs_inference,[],[2834,1874])).
% 14.78/14.92 cnf(2860,plain,
% 14.78/14.92 ($false),
% 14.78/14.92 inference(scs_inference,[],[4,3,1,34,2835,23,8,12]),
% 14.78/14.92 ['proof']).
% 14.78/14.92 % SZS output end Proof
% 14.78/14.92 % Total time :14.290000s
%------------------------------------------------------------------------------