%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : FLD039-3 : 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 : n007.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 05:55:22 EDT 2024
% Result : Unsatisfiable 0.58s 0.93s
% Output : CNFRefutation 0.58s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : FLD039-3 : TPTP v8.2.0. Bugfixed v2.1.0.
% 0.04/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.13/0.34 % Computer : n007.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 09:55:09 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.51/0.59 start to proof:theBenchmark
% 0.58/0.93 %-------------------------------------------
% 0.58/0.93 % File :CSE---1.7
% 0.58/0.93 % Problem :theBenchmark
% 0.58/0.93 % Transform :cnf
% 0.58/0.93 % Format :tptp:raw
% 0.58/0.93 % Command :java -jar mcs_scs.jar %d %s
% 0.58/0.93
% 0.58/0.93 % Result :Theorem 0.300000s
% 0.58/0.93 % Output :CNFRefutation 0.300000s
% 0.58/0.93 %-------------------------------------------
% 0.58/0.93 %--------------------------------------------------------------------------
% 0.58/0.93 % File : FLD039-3 : TPTP v8.2.0. Bugfixed v2.1.0.
% 0.58/0.93 % Domain : Field Theory (Ordered fields)
% 0.58/0.93 % Problem : In a field with two or more elements, 1 and 0 must be different
% 0.58/0.93 % Version : [Dra93] axioms : Especial.
% 0.58/0.93 % Theorem formulation : Functional with re axiom set.
% 0.58/0.93 % English :
% 0.58/0.93
% 0.58/0.93 % Refs : [Dra93] Draeger (1993), Anwendung des Theorembeweisers SETHEO
% 0.58/0.93 % Source : [Dra93]
% 0.58/0.93 % Names :
% 0.58/0.93
% 0.58/0.93 % Status : Unsatisfiable
% 0.58/0.93 % Rating : 0.00 v2.4.0, 0.00 v2.1.0
% 0.58/0.93 % Syntax : Number of clauses : 29 ( 6 unt; 3 nHn; 29 RR)
% 0.58/0.93 % Number of literals : 80 ( 0 equ; 50 neg)
% 0.58/0.93 % Maximal clause size : 5 ( 2 avg)
% 0.58/0.93 % Maximal term depth : 2 ( 1 avg)
% 0.58/0.93 % Number of predicates : 4 ( 4 usr; 0 prp; 1-3 aty)
% 0.58/0.93 % Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% 0.58/0.93 % Number of variables : 73 ( 0 sgn)
% 0.58/0.93 % SPC : CNF_UNS_RFO_NEQ_NHN
% 0.58/0.93
% 0.58/0.93 % Comments :
% 0.58/0.93 % Bugfixes : v2.1.0 - Bugfix in FLD002-0.ax
% 0.58/0.93 %--------------------------------------------------------------------------
% 0.58/0.93 include('Axioms/FLD002-0.ax').
% 0.58/0.93 %--------------------------------------------------------------------------
% 0.58/0.93 cnf(a_is_defined,hypothesis,
% 0.58/0.93 defined(a) ).
% 0.58/0.93
% 0.58/0.93 cnf(not_sum_1,negated_conjecture,
% 0.58/0.93 ~ sum(additive_identity,a,additive_identity) ).
% 0.58/0.93
% 0.58/0.93 cnf(sum_3,negated_conjecture,
% 0.58/0.93 sum(additive_identity,multiplicative_identity,additive_identity) ).
% 0.58/0.93
% 0.58/0.93 %--------------------------------------------------------------------------
% 0.58/0.93 %-------------------------------------------
% 0.58/0.93 % Proof found
% 0.58/0.93 % SZS status Theorem for theBenchmark
% 0.58/0.93 % SZS output start Proof
% 0.58/0.94 %ClaNum:29(EqnAxiom:0)
% 0.58/0.94 %VarNum:162(SingletonVarNum:73)
% 0.58/0.94 %MaxLitNum:5
% 0.58/0.94 %MaxfuncDepth:1
% 0.58/0.94 %SharedTerms:9
% 0.58/0.94 %goalClause: 4 6
% 0.58/0.94 %singleGoalClaCount:2
% 0.58/0.94 [1]P1(a1)
% 0.58/0.94 [2]P1(a4)
% 0.58/0.94 [3]P1(a2)
% 0.58/0.94 [4]P2(a1,a4,a1)
% 0.58/0.94 [5]~P2(a1,a1,a4)
% 0.58/0.94 [6]~P2(a1,a2,a1)
% 0.58/0.94 [12]~P1(x121)+P2(a1,x121,x121)
% 0.58/0.94 [13]~P1(x131)+P4(a4,x131,x131)
% 0.58/0.94 [7]~P1(x71)+P1(f5(x71))
% 0.58/0.94 [14]~P1(x141)+P2(f5(x141),x141,a1)
% 0.58/0.94 [21]~P2(x212,x211,x213)+P2(x211,x212,x213)
% 0.58/0.94 [22]~P4(x222,x221,x223)+P4(x221,x222,x223)
% 0.58/0.94 [15]~P1(x151)+P2(a1,x151,a1)+P1(f7(x151))
% 0.58/0.94 [19]~P1(x191)+P4(f7(x191),x191,a4)+P2(a1,x191,a1)
% 0.58/0.94 [18]~P3(x182,x181)+~P3(x181,x182)+P2(a1,x181,x182)
% 0.58/0.94 [9]~P1(x92)+~P1(x91)+P1(f3(x91,x92))
% 0.58/0.94 [10]~P1(x102)+~P1(x101)+P1(f6(x101,x102))
% 0.58/0.94 [16]~P1(x162)+~P1(x161)+P2(x161,x162,f3(x161,x162))
% 0.58/0.94 [17]~P1(x172)+~P1(x171)+P4(x171,x172,f6(x171,x172))
% 0.58/0.94 [11]~P3(x111,x113)+P3(x111,x112)+~P3(x113,x112)
% 0.58/0.94 [8]P3(x82,x81)+~P1(x81)+~P1(x82)+P3(x81,x82)
% 0.58/0.94 [20]~P4(x203,x202,x201)+P3(a1,x201)+~P3(a1,x202)+~P3(a1,x203)
% 0.58/0.94 [23]~P2(x233,x235,x231)+P3(x231,x232)+~P2(x234,x235,x232)+~P3(x233,x234)
% 0.58/0.94 [24]~P2(x241,x246,x244)+P2(x241,x242,x243)+~P2(x244,x245,x243)+~P2(x246,x245,x242)
% 0.58/0.94 [25]~P2(x256,x254,x251)+P2(x251,x252,x253)+~P2(x254,x252,x255)+~P2(x256,x255,x253)
% 0.58/0.94 [26]~P4(x261,x266,x264)+P4(x261,x262,x263)+~P4(x264,x265,x263)+~P4(x266,x265,x262)
% 0.58/0.94 [27]~P4(x276,x274,x271)+P4(x271,x272,x273)+~P4(x274,x272,x275)+~P4(x276,x275,x273)
% 0.58/0.94 [28]~P4(x285,x287,x282)+~P4(x284,x287,x281)+P2(x281,x282,x283)+~P2(x284,x285,x286)+~P4(x286,x287,x283)
% 0.58/0.94 [29]~P4(x297,x292,x295)+~P4(x296,x292,x294)+P4(x291,x292,x293)+~P2(x294,x295,x293)+~P2(x296,x297,x291)
% 0.58/0.94 %EqnAxiom
% 0.58/0.94
% 0.58/0.94 %-------------------------------------------
% 0.58/0.94 cnf(38,plain,
% 0.58/0.94 (~P2(a1,a1,x381)+~P2(x381,a4,a4)),
% 0.58/0.94 inference(scs_inference,[],[4,6,1,5,21,25,8,18,24])).
% 0.58/0.94 cnf(255,plain,
% 0.58/0.94 (~P2(a1,a1,a1)),
% 0.58/0.94 inference(scs_inference,[],[2,38,12])).
% 0.58/0.94 cnf(256,plain,
% 0.58/0.94 ($false),
% 0.58/0.94 inference(scs_inference,[],[255,1,12]),
% 0.58/0.94 ['proof']).
% 0.58/0.94 % SZS output end Proof
% 0.58/0.94 % Total time :0.300000s
%------------------------------------------------------------------------------