TSTP Solution File: BOO011-2 by CSE---1.6
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : BOO011-2 : TPTP v8.1.2. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/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 18:05:23 EDT 2023
% Result : Unsatisfiable 0.51s 0.59s
% Output : CNFRefutation 0.51s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : BOO011-2 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.03/0.12 % Command : java -jar /export/starexec/sandbox2/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 : Sun Aug 27 08:30:20 EDT 2023
% 0.12/0.33 % CPUTime :
% 0.18/0.54 start to proof:theBenchmark
% 0.51/0.59 %-------------------------------------------
% 0.51/0.59 % File :CSE---1.6
% 0.51/0.59 % Problem :theBenchmark
% 0.51/0.59 % Transform :cnf
% 0.51/0.59 % Format :tptp:raw
% 0.51/0.59 % Command :java -jar mcs_scs.jar %d %s
% 0.51/0.59
% 0.51/0.59 % Result :Theorem 0.000000s
% 0.51/0.59 % Output :CNFRefutation 0.000000s
% 0.51/0.59 %-------------------------------------------
% 0.51/0.59 %--------------------------------------------------------------------------
% 0.51/0.59 % File : BOO011-2 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.51/0.59 % Domain : Boolean Algebra
% 0.51/0.59 % Problem : Inverse of additive identity = Multiplicative identity
% 0.51/0.59 % Version : [ANL] (equality) axioms.
% 0.51/0.59 % English : The inverse of the additive identity is the multiplicative
% 0.51/0.59 % identity.
% 0.51/0.59
% 0.51/0.59 % Refs :
% 0.51/0.59 % Source : [ANL]
% 0.51/0.59 % Names : prob7.ver2.in [ANL]
% 0.51/0.59
% 0.51/0.59 % Status : Unsatisfiable
% 0.51/0.59 % Rating : 0.00 v7.4.0, 0.04 v7.3.0, 0.00 v7.0.0, 0.05 v6.4.0, 0.11 v6.3.0, 0.12 v6.2.0, 0.14 v6.1.0, 0.06 v6.0.0, 0.10 v5.5.0, 0.05 v5.4.0, 0.00 v2.0.0
% 0.51/0.59 % Syntax : Number of clauses : 15 ( 15 unt; 0 nHn; 1 RR)
% 0.51/0.59 % Number of literals : 15 ( 15 equ; 1 neg)
% 0.51/0.59 % Maximal clause size : 1 ( 1 avg)
% 0.51/0.59 % Maximal term depth : 3 ( 1 avg)
% 0.51/0.59 % Number of predicates : 1 ( 0 usr; 0 prp; 2-2 aty)
% 0.51/0.59 % Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% 0.51/0.59 % Number of variables : 24 ( 0 sgn)
% 0.51/0.59 % SPC : CNF_UNS_RFO_PEQ_UEQ
% 0.51/0.59
% 0.51/0.59 % Comments :
% 0.51/0.59 % Bugfixes : v1.2.1 - Clause prove_inverse_of_1_is_0 fixed.
% 0.51/0.59 %--------------------------------------------------------------------------
% 0.51/0.59 %----Include boolean algebra axioms for equality formulation
% 0.51/0.59 include('Axioms/BOO003-0.ax').
% 0.51/0.59 %--------------------------------------------------------------------------
% 0.51/0.59 cnf(prove_inverse_of_1_is_0,negated_conjecture,
% 0.51/0.59 inverse(additive_identity) != multiplicative_identity ).
% 0.51/0.59
% 0.51/0.59 %--------------------------------------------------------------------------
% 0.51/0.59 %-------------------------------------------
% 0.51/0.59 % Proof found
% 0.51/0.59 % SZS status Theorem for theBenchmark
% 0.51/0.59 % SZS output start Proof
% 0.51/0.59 %ClaNum:23(EqnAxiom:8)
% 0.51/0.59 %VarNum:52(SingletonVarNum:24)
% 0.51/0.59 %MaxLitNum:1
% 0.51/0.59 %MaxfuncDepth:2
% 0.51/0.59 %SharedTerms:4
% 0.51/0.59 %goalClause: 23
% 0.51/0.59 %singleGoalClaCount:1
% 0.51/0.59 [23]~E(f4(a1),a3)
% 0.51/0.59 [9]E(f2(x91,a1),x91)
% 0.51/0.59 [10]E(f5(x101,a3),x101)
% 0.51/0.59 [11]E(f2(a1,x111),x111)
% 0.51/0.59 [12]E(f5(a3,x121),x121)
% 0.51/0.59 [13]E(f2(x131,f4(x131)),a3)
% 0.51/0.59 [14]E(f5(x141,f4(x141)),a1)
% 0.51/0.59 [15]E(f2(f4(x151),x151),a3)
% 0.51/0.59 [16]E(f5(f4(x161),x161),a1)
% 0.51/0.59 [17]E(f2(x171,x172),f2(x172,x171))
% 0.51/0.59 [18]E(f5(x181,x182),f5(x182,x181))
% 0.51/0.59 [19]E(f5(f2(x191,x192),f2(x191,x193)),f2(x191,f5(x192,x193)))
% 0.51/0.59 [20]E(f2(f5(x201,x202),f5(x201,x203)),f5(x201,f2(x202,x203)))
% 0.51/0.59 [21]E(f5(f2(x211,x212),f2(x213,x212)),f2(f5(x211,x213),x212))
% 0.51/0.59 [22]E(f2(f5(x221,x222),f5(x223,x222)),f5(f2(x221,x223),x222))
% 0.51/0.59 %EqnAxiom
% 0.51/0.59 [1]E(x11,x11)
% 0.51/0.59 [2]E(x22,x21)+~E(x21,x22)
% 0.51/0.59 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.51/0.59 [4]~E(x41,x42)+E(f2(x41,x43),f2(x42,x43))
% 0.51/0.59 [5]~E(x51,x52)+E(f2(x53,x51),f2(x53,x52))
% 0.51/0.59 [6]~E(x61,x62)+E(f5(x61,x63),f5(x62,x63))
% 0.51/0.59 [7]~E(x71,x72)+E(f5(x73,x71),f5(x73,x72))
% 0.51/0.59 [8]~E(x81,x82)+E(f4(x81),f4(x82))
% 0.51/0.59
% 0.51/0.59 %-------------------------------------------
% 0.51/0.59 cnf(24,plain,
% 0.51/0.59 (E(x241,f2(x241,a1))),
% 0.51/0.59 inference(scs_inference,[],[9,2])).
% 0.51/0.59 cnf(32,plain,
% 0.51/0.59 ($false),
% 0.51/0.59 inference(scs_inference,[],[23,15,24,3]),
% 0.51/0.60 ['proof']).
% 0.51/0.60 % SZS output end Proof
% 0.51/0.60 % Total time :0.000000s
%------------------------------------------------------------------------------