%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : FLD034-1 : 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 : n021.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 05:55:20 EDT 2024
% Result : Unsatisfiable 12.73s 13.06s
% Output : CNFRefutation 12.73s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : FLD034-1 : TPTP v8.2.0. Bugfixed v2.1.0.
% 0.03/0.12 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.11/0.34 % Computer : n021.cluster.edu
% 0.11/0.34 % Model : x86_64 x86_64
% 0.11/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.34 % Memory : 8042.1875MB
% 0.11/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.34 % CPULimit : 300
% 0.11/0.34 % WCLimit : 300
% 0.11/0.34 % DateTime : Wed Jun 19 10:29:53 EDT 2024
% 0.11/0.34 % CPUTime :
% 0.51/0.58 start to proof:theBenchmark
% 12.73/13.05 %-------------------------------------------
% 12.73/13.05 % File :CSE---1.7
% 12.73/13.05 % Problem :theBenchmark
% 12.73/13.05 % Transform :cnf
% 12.73/13.05 % Format :tptp:raw
% 12.73/13.05 % Command :java -jar mcs_scs.jar %d %s
% 12.73/13.05
% 12.73/13.05 % Result :Theorem 12.200000s
% 12.73/13.05 % Output :CNFRefutation 12.200000s
% 12.73/13.05 %-------------------------------------------
% 12.73/13.06 %--------------------------------------------------------------------------
% 12.73/13.06 % File : FLD034-1 : TPTP v8.2.0. Bugfixed v2.1.0.
% 12.73/13.06 % Domain : Field Theory (Ordered fields)
% 12.73/13.06 % Problem : Every element equal one is a multiplicative identity
% 12.73/13.06 % Version : [Dra93] axioms : Especial.
% 12.73/13.06 % Theorem formulation : Functional with glxx axiom set.
% 12.73/13.06 % English :
% 12.73/13.06
% 12.73/13.06 % Refs : [Dra93] Draeger (1993), Anwendung des Theorembeweisers SETHEO
% 12.73/13.06 % Source : [Dra93]
% 12.73/13.06 % Names :
% 12.73/13.06
% 12.73/13.06 % Status : Unsatisfiable
% 12.73/13.06 % Rating : 0.00 v7.1.0, 0.17 v7.0.0, 0.12 v6.3.0, 0.14 v6.2.0, 0.11 v6.1.0, 0.14 v5.5.0, 0.25 v5.4.0, 0.20 v5.2.0, 0.10 v5.1.0, 0.09 v5.0.0, 0.21 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 v2.2.1, 0.33 v2.1.0
% 12.73/13.06 % Syntax : Number of clauses : 31 ( 7 unt; 3 nHn; 31 RR)
% 12.73/13.06 % Number of literals : 77 ( 0 equ; 45 neg)
% 12.73/13.06 % Maximal clause size : 4 ( 2 avg)
% 12.73/13.06 % Maximal term depth : 3 ( 1 avg)
% 12.73/13.06 % Number of predicates : 3 ( 3 usr; 0 prp; 1-2 aty)
% 12.73/13.06 % Number of functors : 8 ( 8 usr; 4 con; 0-2 aty)
% 12.73/13.06 % Number of variables : 50 ( 0 sgn)
% 12.73/13.06 % SPC : CNF_UNS_RFO_NEQ_NHN
% 12.73/13.06
% 12.73/13.06 % Comments :
% 12.73/13.06 % Bugfixes : v2.1.0 - Bugfix in FLD001-0.ax
% 12.73/13.06 %--------------------------------------------------------------------------
% 12.73/13.06 include('Axioms/FLD001-0.ax').
% 12.73/13.06 %--------------------------------------------------------------------------
% 12.73/13.06 cnf(a_is_defined,hypothesis,
% 12.73/13.06 defined(a) ).
% 12.73/13.06
% 12.73/13.06 cnf(m_is_defined,hypothesis,
% 12.73/13.06 defined(m) ).
% 12.73/13.06
% 12.73/13.06 cnf(m_equals_multiplicative_identity_3,negated_conjecture,
% 12.73/13.06 equalish(m,multiplicative_identity) ).
% 12.73/13.06
% 12.73/13.06 cnf(multiply_not_equal_to_a_4,negated_conjecture,
% 12.73/13.06 ~ equalish(multiply(m,a),a) ).
% 12.73/13.06
% 12.73/13.06 %--------------------------------------------------------------------------
% 12.73/13.06 %-------------------------------------------
% 12.73/13.06 % Proof found
% 12.73/13.06 % SZS status Theorem for theBenchmark
% 12.73/13.06 % SZS output start Proof
% 12.73/13.06 %ClaNum:31(EqnAxiom:0)
% 12.73/13.06 %VarNum:128(SingletonVarNum:50)
% 12.73/13.06 %MaxLitNum:4
% 12.73/13.06 %MaxfuncDepth:2
% 12.73/13.06 %SharedTerms:12
% 12.73/13.06 %goalClause: 5 7
% 12.73/13.06 %singleGoalClaCount:2
% 12.73/13.06 [1]P1(a1)
% 12.73/13.06 [2]P1(a4)
% 12.73/13.06 [3]P1(a2)
% 12.73/13.06 [4]P1(a5)
% 12.73/13.06 [5]P2(a5,a4)
% 12.73/13.06 [6]~P2(a1,a4)
% 12.73/13.06 [7]~P2(f7(a5,a2),a2)
% 12.73/13.06 [9]~P1(x91)+P2(x91,x91)
% 12.73/13.06 [8]~P1(x81)+P1(f6(x81))
% 12.73/13.06 [13]~P1(x131)+P2(f3(a1,x131),x131)
% 12.73/13.06 [14]~P1(x141)+P2(f7(a4,x141),x141)
% 12.73/13.06 [17]~P1(x171)+P2(f3(x171,f6(x171)),a1)
% 12.73/13.06 [11]~P2(x112,x111)+P2(x111,x112)
% 12.73/13.06 [10]~P1(x101)+P2(x101,a1)+P1(f8(x101))
% 12.73/13.06 [22]~P1(x221)+P2(x221,a1)+P2(f7(x221,f8(x221)),a4)
% 12.73/13.06 [19]~P3(x192,x191)+~P3(x191,x192)+P2(x191,x192)
% 12.73/13.06 [15]~P1(x152)+~P1(x151)+P1(f3(x151,x152))
% 12.73/13.06 [16]~P1(x162)+~P1(x161)+P1(f7(x161,x162))
% 12.73/13.06 [23]~P3(a1,x232)+~P3(a1,x231)+P3(a1,f7(x231,x232))
% 12.73/13.06 [24]~P1(x242)+~P1(x241)+P2(f3(x241,x242),f3(x242,x241))
% 12.73/13.06 [25]~P1(x252)+~P1(x251)+P2(f7(x251,x252),f7(x252,x251))
% 12.73/13.06 [18]~P2(x181,x183)+P2(x181,x182)+~P2(x183,x182)
% 12.73/13.06 [20]~P3(x203,x202)+P3(x201,x202)+~P2(x203,x201)
% 12.73/13.06 [21]~P3(x211,x213)+P3(x211,x212)+~P3(x213,x212)
% 12.73/13.06 [26]~P1(x262)+~P2(x261,x263)+P2(f3(x261,x262),f3(x263,x262))
% 12.73/13.06 [27]~P1(x272)+~P2(x271,x273)+P2(f7(x271,x272),f7(x273,x272))
% 12.73/13.06 [28]~P1(x282)+~P3(x281,x283)+P3(f3(x281,x282),f3(x283,x282))
% 12.73/13.06 [12]P3(x122,x121)+~P1(x121)+~P1(x122)+P3(x121,x122)
% 12.73/13.06 [29]~P1(x293)+~P1(x292)+~P1(x291)+P2(f3(x291,f3(x292,x293)),f3(f3(x291,x292),x293))
% 12.73/13.06 [30]~P1(x303)+~P1(x302)+~P1(x301)+P2(f7(x301,f7(x302,x303)),f7(f7(x301,x302),x303))
% 12.73/13.06 [31]~P1(x313)+~P1(x312)+~P1(x311)+P2(f3(f7(x311,x312),f7(x313,x312)),f7(f3(x311,x313),x312))
% 12.73/13.06 %EqnAxiom
% 12.73/13.06
% 12.73/13.06 %-------------------------------------------
% 12.73/13.07 cnf(32,plain,
% 12.73/13.07 (~P2(a2,f7(a5,a2))),
% 12.73/13.07 inference(scs_inference,[],[7,11])).
% 12.73/13.07 cnf(50,plain,
% 12.73/13.07 (P3(a2,a2)),
% 12.73/13.07 inference(scs_inference,[],[3,6,11,12])).
% 12.73/13.07 cnf(1016,plain,
% 12.73/13.07 (P2(a2,f7(a4,a2))),
% 12.73/13.07 inference(scs_inference,[],[3,11,14])).
% 12.73/13.07 cnf(1017,plain,
% 12.73/13.07 (P3(f7(a4,a2),a2)),
% 12.73/13.07 inference(scs_inference,[],[1016,50,20])).
% 12.73/13.07 cnf(1049,plain,
% 12.73/13.07 (P2(f7(a4,a2),f7(a5,a2))),
% 12.73/13.07 inference(scs_inference,[],[5,3,11,27])).
% 12.73/13.07 cnf(1052,plain,
% 12.73/13.07 ($false),
% 12.73/13.07 inference(scs_inference,[],[32,1017,1016,1049,20,18]),
% 12.73/13.07 ['proof']).
% 12.73/13.07 % SZS output end Proof
% 12.73/13.07 % Total time :12.200000s
%------------------------------------------------------------------------------