%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : FLD037-1 : 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 : n015.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 05:55:21 EDT 2024
% Result : Unsatisfiable 34.77s 34.95s
% Output : CNFRefutation 34.77s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : FLD037-1 : TPTP v8.2.0. Bugfixed v2.1.0.
% 0.07/0.12 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.13/0.34 % Computer : n015.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 10:13:54 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.46/0.57 start to proof:theBenchmark
% 34.77/34.94 %-------------------------------------------
% 34.77/34.94 % File :CSE---1.7
% 34.77/34.94 % Problem :theBenchmark
% 34.77/34.94 % Transform :cnf
% 34.77/34.94 % Format :tptp:raw
% 34.77/34.94 % Command :java -jar mcs_scs.jar %d %s
% 34.77/34.94
% 34.77/34.94 % Result :Theorem 34.260000s
% 34.77/34.94 % Output :CNFRefutation 34.260000s
% 34.77/34.94 %-------------------------------------------
% 34.77/34.95 %--------------------------------------------------------------------------
% 34.77/34.95 % File : FLD037-1 : TPTP v8.2.0. Bugfixed v2.1.0.
% 34.77/34.95 % Domain : Field Theory (Ordered fields)
% 34.77/34.95 % Problem : Side change of a term in an equation by multiplication, part 1
% 34.77/34.95 % Version : [Dra93] axioms : Especial.
% 34.77/34.95 % Theorem formulation : Functional with glxx axiom set.
% 34.77/34.95 % English :
% 34.77/34.95
% 34.77/34.95 % Refs : [Dra93] Draeger (1993), Anwendung des Theorembeweisers SETHEO
% 34.77/34.95 % Source : [Dra93]
% 34.77/34.95 % Names :
% 34.77/34.95
% 34.77/34.95 % Status : Unsatisfiable
% 34.77/34.95 % Rating : 0.00 v7.4.0, 0.17 v7.1.0, 0.33 v7.0.0, 0.25 v6.4.0, 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, 0.30 v5.2.0, 0.10 v5.1.0, 0.18 v5.0.0, 0.36 v4.1.0, 0.12 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, 0.12 v2.6.0, 0.33 v2.5.0, 0.00 v2.4.0, 0.20 v2.3.0, 0.33 v2.2.1, 0.33 v2.1.0
% 34.77/34.95 % Syntax : Number of clauses : 32 ( 8 unt; 3 nHn; 32 RR)
% 34.77/34.95 % Number of literals : 78 ( 0 equ; 46 neg)
% 34.77/34.95 % Maximal clause size : 4 ( 2 avg)
% 34.77/34.95 % Maximal term depth : 3 ( 1 avg)
% 34.77/34.95 % Number of predicates : 3 ( 3 usr; 0 prp; 1-2 aty)
% 34.77/34.95 % Number of functors : 8 ( 8 usr; 4 con; 0-2 aty)
% 34.77/34.95 % Number of variables : 50 ( 0 sgn)
% 34.77/34.95 % SPC : CNF_UNS_RFO_NEQ_NHN
% 34.77/34.95
% 34.77/34.95 % Comments :
% 34.77/34.95 % Bugfixes : v2.1.0 - Bugfix in FLD001-0.ax
% 34.77/34.95 %--------------------------------------------------------------------------
% 34.77/34.95 include('Axioms/FLD001-0.ax').
% 34.77/34.95 %--------------------------------------------------------------------------
% 34.77/34.95 cnf(a_is_defined,hypothesis,
% 34.77/34.95 defined(a) ).
% 34.77/34.95
% 34.77/34.95 cnf(b_is_defined,hypothesis,
% 34.77/34.95 defined(b) ).
% 34.77/34.95
% 34.77/34.95 cnf(a_not_equal_to_additive_identity_3,negated_conjecture,
% 34.77/34.95 ~ equalish(a,additive_identity) ).
% 34.77/34.95
% 34.77/34.95 cnf(a_equals_b_4,negated_conjecture,
% 34.77/34.95 equalish(a,b) ).
% 34.77/34.95
% 34.77/34.95 cnf(multiplicative_identity_not_equal_to_multiply_5,negated_conjecture,
% 34.77/34.95 ~ equalish(multiplicative_identity,multiply(b,multiplicative_inverse(a))) ).
% 34.77/34.95
% 34.77/34.95 %--------------------------------------------------------------------------
% 34.77/34.95 %-------------------------------------------
% 34.77/34.95 % Proof found
% 34.77/34.95 % SZS status Theorem for theBenchmark
% 34.77/34.95 % SZS output start Proof
% 34.77/34.95 %ClaNum:32(EqnAxiom:0)
% 34.77/34.95 %VarNum:128(SingletonVarNum:50)
% 34.77/34.95 %MaxLitNum:4
% 34.77/34.96 %MaxfuncDepth:2
% 34.77/34.96 %SharedTerms:14
% 34.77/34.96 %goalClause: 5 7 8
% 34.77/34.96 %singleGoalClaCount:3
% 34.77/34.96 [1]P1(a1)
% 34.77/34.96 [2]P1(a4)
% 34.77/34.96 [3]P1(a2)
% 34.77/34.96 [4]P1(a5)
% 34.77/34.96 [5]P2(a2,a5)
% 34.77/34.96 [6]~P2(a1,a4)
% 34.77/34.96 [7]~P2(a2,a1)
% 34.77/34.96 [8]~P2(a4,f8(a5,f7(a2)))
% 34.77/34.96 [10]~P1(x101)+P2(x101,x101)
% 34.77/34.96 [9]~P1(x91)+P1(f6(x91))
% 34.77/34.96 [14]~P1(x141)+P2(f3(a1,x141),x141)
% 34.77/34.96 [15]~P1(x151)+P2(f8(a4,x151),x151)
% 34.77/34.96 [18]~P1(x181)+P2(f3(x181,f6(x181)),a1)
% 34.77/34.96 [12]~P2(x122,x121)+P2(x121,x122)
% 34.77/34.96 [11]~P1(x111)+P2(x111,a1)+P1(f7(x111))
% 34.77/34.96 [23]~P1(x231)+P2(x231,a1)+P2(f8(x231,f7(x231)),a4)
% 34.77/34.96 [20]~P3(x202,x201)+~P3(x201,x202)+P2(x201,x202)
% 34.77/34.96 [16]~P1(x162)+~P1(x161)+P1(f3(x161,x162))
% 34.77/34.96 [17]~P1(x172)+~P1(x171)+P1(f8(x171,x172))
% 34.77/34.96 [24]~P3(a1,x242)+~P3(a1,x241)+P3(a1,f8(x241,x242))
% 34.77/34.96 [25]~P1(x252)+~P1(x251)+P2(f3(x251,x252),f3(x252,x251))
% 34.77/34.96 [26]~P1(x262)+~P1(x261)+P2(f8(x261,x262),f8(x262,x261))
% 34.77/34.96 [19]~P2(x191,x193)+P2(x191,x192)+~P2(x193,x192)
% 34.77/34.96 [21]~P3(x213,x212)+P3(x211,x212)+~P2(x213,x211)
% 34.77/34.96 [22]~P3(x221,x223)+P3(x221,x222)+~P3(x223,x222)
% 34.77/34.96 [27]~P1(x272)+~P2(x271,x273)+P2(f3(x271,x272),f3(x273,x272))
% 34.77/34.96 [28]~P1(x282)+~P2(x281,x283)+P2(f8(x281,x282),f8(x283,x282))
% 34.77/34.96 [29]~P1(x292)+~P3(x291,x293)+P3(f3(x291,x292),f3(x293,x292))
% 34.77/34.96 [13]P3(x132,x131)+~P1(x131)+~P1(x132)+P3(x131,x132)
% 34.77/34.96 [30]~P1(x303)+~P1(x302)+~P1(x301)+P2(f3(x301,f3(x302,x303)),f3(f3(x301,x302),x303))
% 34.77/34.96 [31]~P1(x313)+~P1(x312)+~P1(x311)+P2(f8(x311,f8(x312,x313)),f8(f8(x311,x312),x313))
% 34.77/34.96 [32]~P1(x323)+~P1(x322)+~P1(x321)+P2(f3(f8(x321,x322),f8(x323,x322)),f8(f3(x321,x323),x322))
% 34.77/34.96 %EqnAxiom
% 34.77/34.96
% 34.77/34.96 %-------------------------------------------
% 34.77/34.96 cnf(33,plain,
% 34.77/34.96 (~P2(a1,a2)),
% 34.77/34.96 inference(scs_inference,[],[7,12])).
% 34.77/34.96 cnf(37,plain,
% 34.77/34.96 (~P2(x371,a2)+P2(x371,a5)),
% 34.77/34.96 inference(scs_inference,[],[5,7,1,12,13,19])).
% 34.77/34.96 cnf(42,plain,
% 34.77/34.96 (~P2(f8(a5,f7(a2)),a4)),
% 34.77/34.96 inference(scs_inference,[],[8,12])).
% 34.77/34.96 cnf(60,plain,
% 34.77/34.96 (P2(a2,a2)),
% 34.77/34.96 inference(scs_inference,[],[5,3,13,21,20])).
% 34.77/34.96 cnf(69,plain,
% 34.77/34.96 (P2(a5,a2)),
% 34.77/34.96 inference(scs_inference,[],[60,37,12])).
% 34.77/34.96 cnf(1704,plain,
% 34.77/34.96 (P1(f7(a2))),
% 34.77/34.96 inference(scs_inference,[],[33,3,12,11])).
% 34.77/34.96 cnf(1708,plain,
% 34.77/34.96 (P2(f8(a2,f7(a2)),a4)),
% 34.77/34.96 inference(scs_inference,[],[33,3,12,23])).
% 34.77/34.96 cnf(1713,plain,
% 34.77/34.96 ($false),
% 34.77/34.96 inference(scs_inference,[],[42,69,1704,1708,19,12,28]),
% 34.77/34.96 ['proof']).
% 34.77/34.97 % SZS output end Proof
% 34.77/34.97 % Total time :34.260000s
%------------------------------------------------------------------------------