%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : FLD039-1 : 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 : n024.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 0.54s 0.62s
% Output : CNFRefutation 0.54s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : FLD039-1 : TPTP v8.2.0. Bugfixed v2.1.0.
% 0.10/0.11 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.10/0.32 % Computer : n024.cluster.edu
% 0.10/0.32 % Model : x86_64 x86_64
% 0.10/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32 % Memory : 8042.1875MB
% 0.10/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32 % CPULimit : 300
% 0.10/0.32 % WCLimit : 300
% 0.10/0.32 % DateTime : Wed Jun 19 10:12:24 EDT 2024
% 0.10/0.32 % CPUTime :
% 0.17/0.57 start to proof:theBenchmark
% 0.54/0.61 %-------------------------------------------
% 0.54/0.61 % File :CSE---1.7
% 0.54/0.61 % Problem :theBenchmark
% 0.54/0.61 % Transform :cnf
% 0.54/0.61 % Format :tptp:raw
% 0.54/0.61 % Command :java -jar mcs_scs.jar %d %s
% 0.54/0.61
% 0.54/0.61 % Result :Theorem 0.000000s
% 0.54/0.61 % Output :CNFRefutation 0.000000s
% 0.54/0.61 %-------------------------------------------
% 0.54/0.61 %--------------------------------------------------------------------------
% 0.54/0.61 % File : FLD039-1 : TPTP v8.2.0. Bugfixed v2.1.0.
% 0.54/0.61 % Domain : Field Theory (Ordered fields)
% 0.54/0.61 % Problem : In a field with two or more elements, 1 and 0 must be different
% 0.54/0.61 % Version : [Dra93] axioms : Especial.
% 0.54/0.61 % Theorem formulation : Functional with glxx axiom set.
% 0.54/0.61 % English :
% 0.54/0.61
% 0.54/0.61 % Refs : [Dra93] Draeger (1993), Anwendung des Theorembeweisers SETHEO
% 0.54/0.61 % Source : [Dra93]
% 0.54/0.61 % Names :
% 0.54/0.61
% 0.54/0.61 % Status : Unsatisfiable
% 0.54/0.61 % Rating : 0.00 v2.1.0
% 0.54/0.61 % Syntax : Number of clauses : 30 ( 6 unt; 3 nHn; 30 RR)
% 0.54/0.61 % Number of literals : 76 ( 0 equ; 45 neg)
% 0.54/0.61 % Maximal clause size : 4 ( 2 avg)
% 0.54/0.61 % Maximal term depth : 3 ( 1 avg)
% 0.54/0.61 % Number of predicates : 3 ( 3 usr; 0 prp; 1-2 aty)
% 0.54/0.61 % Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% 0.54/0.61 % Number of variables : 50 ( 0 sgn)
% 0.54/0.61 % SPC : CNF_UNS_RFO_NEQ_NHN
% 0.54/0.61
% 0.54/0.61 % Comments :
% 0.54/0.61 % : Due to some changes in FLD001-0.ax a long time ago, this is
% 0.54/0.62 % too easy - it appears as an axiom.
% 0.54/0.62 % Bugfixes : v2.1.0 - Bugfix in FLD001-0.ax
% 0.54/0.62 %--------------------------------------------------------------------------
% 0.54/0.62 include('Axioms/FLD001-0.ax').
% 0.54/0.62 %--------------------------------------------------------------------------
% 0.54/0.62 cnf(a_is_defined,hypothesis,
% 0.54/0.62 defined(a) ).
% 0.54/0.62
% 0.54/0.62 cnf(a_not_equal_to_additive_identity_1,negated_conjecture,
% 0.54/0.62 ~ equalish(a,additive_identity) ).
% 0.54/0.62
% 0.54/0.62 cnf(multiplicative_identity_equals_additive_identity_3,negated_conjecture,
% 0.54/0.62 equalish(multiplicative_identity,additive_identity) ).
% 0.54/0.62
% 0.54/0.62 %--------------------------------------------------------------------------
% 0.54/0.62 %-------------------------------------------
% 0.54/0.62 % Proof found
% 0.54/0.62 % SZS status Theorem for theBenchmark
% 0.54/0.62 % SZS output start Proof
% 0.54/0.62 %ClaNum:30(EqnAxiom:0)
% 0.54/0.62 %VarNum:128(SingletonVarNum:50)
% 0.54/0.62 %MaxLitNum:4
% 0.54/0.62 %MaxfuncDepth:2
% 0.54/0.62 %SharedTerms:9
% 0.54/0.62 %goalClause: 4 6
% 0.54/0.62 %singleGoalClaCount:2
% 0.54/0.62 [1]P1(a1)
% 0.54/0.62 [2]P1(a4)
% 0.54/0.62 [3]P1(a2)
% 0.54/0.62 [4]P2(a4,a1)
% 0.54/0.62 [5]~P2(a1,a4)
% 0.54/0.62 [6]~P2(a2,a1)
% 0.54/0.62 [8]~P1(x81)+P2(x81,x81)
% 0.54/0.62 [7]~P1(x71)+P1(f5(x71))
% 0.54/0.62 [12]~P1(x121)+P2(f3(a1,x121),x121)
% 0.54/0.62 [13]~P1(x131)+P2(f7(a4,x131),x131)
% 0.54/0.62 [16]~P1(x161)+P2(f3(x161,f5(x161)),a1)
% 0.54/0.62 [10]~P2(x102,x101)+P2(x101,x102)
% 0.54/0.62 [9]~P1(x91)+P2(x91,a1)+P1(f6(x91))
% 0.54/0.62 [21]~P1(x211)+P2(x211,a1)+P2(f7(x211,f6(x211)),a4)
% 0.54/0.62 [18]~P3(x182,x181)+~P3(x181,x182)+P2(x181,x182)
% 0.54/0.62 [14]~P1(x142)+~P1(x141)+P1(f3(x141,x142))
% 0.54/0.62 [15]~P1(x152)+~P1(x151)+P1(f7(x151,x152))
% 0.54/0.62 [22]~P3(a1,x222)+~P3(a1,x221)+P3(a1,f7(x221,x222))
% 0.54/0.62 [23]~P1(x232)+~P1(x231)+P2(f3(x231,x232),f3(x232,x231))
% 0.54/0.62 [24]~P1(x242)+~P1(x241)+P2(f7(x241,x242),f7(x242,x241))
% 0.54/0.62 [17]~P2(x171,x173)+P2(x171,x172)+~P2(x173,x172)
% 0.54/0.62 [19]~P3(x193,x192)+P3(x191,x192)+~P2(x193,x191)
% 0.54/0.62 [20]~P3(x201,x203)+P3(x201,x202)+~P3(x203,x202)
% 0.54/0.62 [25]~P1(x252)+~P2(x251,x253)+P2(f3(x251,x252),f3(x253,x252))
% 0.54/0.62 [26]~P1(x262)+~P2(x261,x263)+P2(f7(x261,x262),f7(x263,x262))
% 0.54/0.62 [27]~P1(x272)+~P3(x271,x273)+P3(f3(x271,x272),f3(x273,x272))
% 0.54/0.62 [11]P3(x112,x111)+~P1(x111)+~P1(x112)+P3(x111,x112)
% 0.54/0.62 [28]~P1(x283)+~P1(x282)+~P1(x281)+P2(f3(x281,f3(x282,x283)),f3(f3(x281,x282),x283))
% 0.54/0.62 [29]~P1(x293)+~P1(x292)+~P1(x291)+P2(f7(x291,f7(x292,x293)),f7(f7(x291,x292),x293))
% 0.54/0.62 [30]~P1(x303)+~P1(x302)+~P1(x301)+P2(f3(f7(x301,x302),f7(x303,x302)),f7(f3(x301,x303),x302))
% 0.54/0.62 %EqnAxiom
% 0.54/0.62
% 0.54/0.62 %-------------------------------------------
% 0.54/0.62 cnf(31,plain,
% 0.54/0.62 ($false),
% 0.54/0.62 inference(scs_inference,[],[4,5,10]),
% 0.54/0.62 ['proof']).
% 0.54/0.62 % SZS output end Proof
% 0.54/0.62 % Total time :0.000000s
%------------------------------------------------------------------------------