TSTP Solution File: FLD030-1 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : FLD030-1 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% Computer : n009.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 : Wed Aug 30 22:26:37 EDT 2023
% Result : Unsatisfiable 0.55s 0.61s
% Output : CNFRefutation 0.55s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : FLD030-1 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.11/0.12 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.12/0.33 % Computer : n009.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Mon Aug 28 00:26:20 EDT 2023
% 0.19/0.33 % CPUTime :
% 0.19/0.55 start to proof:theBenchmark
% 0.55/0.61 %-------------------------------------------
% 0.55/0.61 % File :CSE---1.6
% 0.55/0.61 % Problem :theBenchmark
% 0.55/0.61 % Transform :cnf
% 0.55/0.61 % Format :tptp:raw
% 0.55/0.61 % Command :java -jar mcs_scs.jar %d %s
% 0.55/0.61
% 0.55/0.61 % Result :Theorem 0.000000s
% 0.55/0.61 % Output :CNFRefutation 0.000000s
% 0.55/0.61 %-------------------------------------------
% 0.55/0.61 %--------------------------------------------------------------------------
% 0.55/0.61 % File : FLD030-1 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.55/0.61 % Domain : Field Theory (Ordered fields)
% 0.55/0.61 % Problem : Compatibility of multiplication and equality relation
% 0.55/0.61 % Version : [Dra93] axioms : Especial.
% 0.55/0.61 % Theorem formulation : Functional with glxx axiom set.
% 0.55/0.61 % English :
% 0.55/0.61
% 0.55/0.61 % Refs : [Dra93] Draeger (1993), Anwendung des Theorembeweisers SETHEO
% 0.55/0.61 % Source : [Dra93]
% 0.55/0.61 % Names :
% 0.55/0.61
% 0.55/0.61 % Status : Unsatisfiable
% 0.55/0.61 % Rating : 0.00 v5.5.0, 0.12 v5.4.0, 0.10 v5.2.0, 0.00 v5.0.0, 0.07 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 v2.3.0, 0.33 v2.2.1, 0.00 v2.1.0
% 0.55/0.61 % Syntax : Number of clauses : 32 ( 8 unt; 3 nHn; 32 RR)
% 0.55/0.61 % Number of literals : 78 ( 0 equ; 45 neg)
% 0.55/0.61 % Maximal clause size : 4 ( 2 avg)
% 0.55/0.61 % Maximal term depth : 3 ( 1 avg)
% 0.55/0.61 % Number of predicates : 3 ( 3 usr; 0 prp; 1-2 aty)
% 0.55/0.61 % Number of functors : 9 ( 9 usr; 5 con; 0-2 aty)
% 0.55/0.61 % Number of variables : 50 ( 0 sgn)
% 0.55/0.61 % SPC : CNF_UNS_RFO_NEQ_NHN
% 0.55/0.61
% 0.55/0.61 % Comments :
% 0.55/0.61 % Bugfixes : v2.1.0 - Bugfix in FLD001-0.ax
% 0.55/0.61 %--------------------------------------------------------------------------
% 0.55/0.61 include('Axioms/FLD001-0.ax').
% 0.55/0.61 %--------------------------------------------------------------------------
% 0.55/0.61 cnf(a_is_defined,hypothesis,
% 0.55/0.61 defined(a) ).
% 0.55/0.61
% 0.55/0.61 cnf(b_is_defined,hypothesis,
% 0.55/0.61 defined(b) ).
% 0.55/0.61
% 0.55/0.61 cnf(d_is_defined,hypothesis,
% 0.55/0.61 defined(d) ).
% 0.55/0.61
% 0.55/0.61 cnf(a_equals_d_4,negated_conjecture,
% 0.55/0.61 equalish(a,d) ).
% 0.55/0.61
% 0.55/0.61 cnf(multiply_not_equal_to_multiply_5,negated_conjecture,
% 0.55/0.61 ~ equalish(multiply(d,b),multiply(a,b)) ).
% 0.55/0.61
% 0.55/0.61 %--------------------------------------------------------------------------
% 0.55/0.61 %-------------------------------------------
% 0.55/0.61 % Proof found
% 0.55/0.61 % SZS status Theorem for theBenchmark
% 0.55/0.61 % SZS output start Proof
% 0.55/0.61 %ClaNum:32(EqnAxiom:0)
% 0.55/0.61 %VarNum:128(SingletonVarNum:50)
% 0.55/0.61 %MaxLitNum:4
% 0.55/0.61 %MaxfuncDepth:2
% 0.55/0.61 %SharedTerms:15
% 0.55/0.61 %goalClause: 6 8
% 0.55/0.61 %singleGoalClaCount:2
% 0.55/0.61 [1]P1(a1)
% 0.55/0.61 [2]P1(a4)
% 0.55/0.61 [3]P1(a2)
% 0.55/0.61 [4]P1(a5)
% 0.55/0.61 [5]P1(a7)
% 0.55/0.61 [6]P2(a2,a7)
% 0.55/0.61 [7]~P2(a1,a4)
% 0.55/0.61 [8]~P2(f8(a7,a5),f8(a2,a5))
% 0.55/0.61 [10]~P1(x101)+P2(x101,x101)
% 0.55/0.61 [9]~P1(x91)+P1(f6(x91))
% 0.55/0.61 [14]~P1(x141)+P2(f3(a1,x141),x141)
% 0.55/0.61 [15]~P1(x151)+P2(f8(a4,x151),x151)
% 0.55/0.61 [18]~P1(x181)+P2(f3(x181,f6(x181)),a1)
% 0.55/0.61 [12]~P2(x122,x121)+P2(x121,x122)
% 0.55/0.61 [11]~P1(x111)+P2(x111,a1)+P1(f9(x111))
% 0.55/0.61 [23]~P1(x231)+P2(x231,a1)+P2(f8(x231,f9(x231)),a4)
% 0.55/0.62 [20]~P3(x202,x201)+~P3(x201,x202)+P2(x201,x202)
% 0.55/0.62 [16]~P1(x162)+~P1(x161)+P1(f3(x161,x162))
% 0.55/0.62 [17]~P1(x172)+~P1(x171)+P1(f8(x171,x172))
% 0.55/0.62 [24]~P3(a1,x242)+~P3(a1,x241)+P3(a1,f8(x241,x242))
% 0.55/0.62 [25]~P1(x252)+~P1(x251)+P2(f3(x251,x252),f3(x252,x251))
% 0.55/0.62 [26]~P1(x262)+~P1(x261)+P2(f8(x261,x262),f8(x262,x261))
% 0.55/0.62 [19]~P2(x191,x193)+P2(x191,x192)+~P2(x193,x192)
% 0.55/0.62 [21]~P3(x213,x212)+P3(x211,x212)+~P2(x213,x211)
% 0.55/0.62 [22]~P3(x221,x223)+P3(x221,x222)+~P3(x223,x222)
% 0.55/0.62 [27]~P1(x272)+~P2(x271,x273)+P2(f3(x271,x272),f3(x273,x272))
% 0.55/0.62 [28]~P1(x282)+~P2(x281,x283)+P2(f8(x281,x282),f8(x283,x282))
% 0.55/0.62 [29]~P1(x292)+~P3(x291,x293)+P3(f3(x291,x292),f3(x293,x292))
% 0.55/0.62 [13]P3(x132,x131)+~P1(x131)+~P1(x132)+P3(x131,x132)
% 0.55/0.62 [30]~P1(x303)+~P1(x302)+~P1(x301)+P2(f3(x301,f3(x302,x303)),f3(f3(x301,x302),x303))
% 0.55/0.62 [31]~P1(x313)+~P1(x312)+~P1(x311)+P2(f8(x311,f8(x312,x313)),f8(f8(x311,x312),x313))
% 0.55/0.62 [32]~P1(x323)+~P1(x322)+~P1(x321)+P2(f3(f8(x321,x322),f8(x323,x322)),f8(f3(x321,x323),x322))
% 0.55/0.62 %EqnAxiom
% 0.55/0.62
% 0.55/0.62 %-------------------------------------------
% 0.55/0.62 cnf(33,plain,
% 0.55/0.62 (~P2(a4,a1)),
% 0.55/0.62 inference(scs_inference,[],[7,12])).
% 0.55/0.62 cnf(34,plain,
% 0.55/0.62 (~P2(a7,a2)),
% 0.55/0.62 inference(scs_inference,[],[4,7,8,12,28])).
% 0.55/0.62 cnf(40,plain,
% 0.55/0.62 (P2(f3(a1,a1),a1)),
% 0.55/0.62 inference(scs_inference,[],[1,4,7,8,12,28,13,10,15,14])).
% 0.55/0.62 cnf(44,plain,
% 0.55/0.62 (P2(f3(a1,f6(a1)),a1)),
% 0.55/0.62 inference(scs_inference,[],[1,4,7,8,12,28,13,10,15,14,9,18])).
% 0.55/0.62 cnf(56,plain,
% 0.55/0.62 (P3(f3(a1,a1),f3(a1,a1))),
% 0.55/0.62 inference(scs_inference,[],[1,2,4,7,8,12,28,13,10,15,14,9,18,20,24,17,16,11,29])).
% 0.55/0.62 cnf(92,plain,
% 0.55/0.62 ($false),
% 0.55/0.62 inference(scs_inference,[],[6,3,56,44,40,33,34,19,29,28,27,26,31,30,21,12]),
% 0.55/0.62 ['proof']).
% 0.55/0.62 % SZS output end Proof
% 0.55/0.62 % Total time :0.000000s
%------------------------------------------------------------------------------