%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : BOO011-4 : TPTP v8.2.0. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% Computer : n005.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 04:35:46 EDT 2024
% Result : Unsatisfiable 8.04s 8.16s
% Output : CNFRefutation 8.04s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : BOO011-4 : TPTP v8.2.0. Bugfixed v1.2.1.
% 0.10/0.12 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.13/0.33 % Computer : n005.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Tue Jun 18 19:35:39 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.20/0.57 start to proof:theBenchmark
% 8.04/8.15 %-------------------------------------------
% 8.04/8.15 % File :CSE---1.7
% 8.04/8.15 % Problem :theBenchmark
% 8.04/8.15 % Transform :cnf
% 8.04/8.15 % Format :tptp:raw
% 8.04/8.15 % Command :java -jar mcs_scs.jar %d %s
% 8.04/8.15
% 8.04/8.15 % Result :Theorem 7.550000s
% 8.04/8.15 % Output :CNFRefutation 7.550000s
% 8.04/8.15 %-------------------------------------------
% 8.04/8.15 %--------------------------------------------------------------------------
% 8.04/8.15 % File : BOO011-4 : TPTP v8.2.0. Bugfixed v1.2.1.
% 8.04/8.15 % Domain : Boolean Algebra
% 8.04/8.15 % Problem : Inverse of additive identity = Multiplicative identity
% 8.04/8.15 % Version : [Ver94] (equality) axioms.
% 8.04/8.15 % English :
% 8.04/8.15
% 8.04/8.16 % Refs : [Ver94] Veroff (1994), Problem Set
% 8.04/8.16 % Source : [Ver94]
% 8.04/8.16 % Names : TG [Ver94]
% 8.04/8.16
% 8.04/8.16 % Status : Unsatisfiable
% 8.04/8.16 % Rating : 0.00 v8.1.0, 0.05 v7.5.0, 0.04 v7.4.0, 0.09 v7.3.0, 0.05 v7.1.0, 0.00 v7.0.0, 0.05 v6.3.0, 0.06 v6.2.0, 0.07 v6.1.0, 0.06 v6.0.0, 0.10 v5.5.0, 0.05 v5.4.0, 0.00 v5.1.0, 0.07 v4.1.0, 0.09 v4.0.1, 0.07 v4.0.0, 0.08 v3.7.0, 0.00 v2.0.0
% 8.04/8.16 % Syntax : Number of clauses : 9 ( 9 unt; 0 nHn; 1 RR)
% 8.04/8.16 % Number of literals : 9 ( 9 equ; 1 neg)
% 8.04/8.16 % Maximal clause size : 1 ( 1 avg)
% 8.04/8.16 % Maximal term depth : 3 ( 1 avg)
% 8.04/8.16 % Number of predicates : 1 ( 0 usr; 0 prp; 2-2 aty)
% 8.04/8.16 % Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% 8.04/8.16 % Number of variables : 14 ( 0 sgn)
% 8.04/8.16 % SPC : CNF_UNS_RFO_PEQ_UEQ
% 8.04/8.16
% 8.04/8.16 % Comments :
% 8.04/8.16 % Bugfixes : v1.2.1 - Clause prove_inverse_of_1_is_0 fixed.
% 8.04/8.16 %--------------------------------------------------------------------------
% 8.04/8.16 %----Include boolean algebra axioms for equality formulation
% 8.04/8.16 include('Axioms/BOO004-0.ax').
% 8.04/8.16 %--------------------------------------------------------------------------
% 8.04/8.16 cnf(prove_inverse_of_1_is_0,negated_conjecture,
% 8.04/8.16 inverse(additive_identity) != multiplicative_identity ).
% 8.04/8.16
% 8.04/8.16 %--------------------------------------------------------------------------
% 8.04/8.16 %-------------------------------------------
% 8.04/8.16 % Proof found
% 8.04/8.16 % SZS status Theorem for theBenchmark
% 8.04/8.16 % SZS output start Proof
% 8.04/8.16 %ClaNum:17(EqnAxiom:8)
% 8.04/8.16 %VarNum:30(SingletonVarNum:14)
% 8.04/8.16 %MaxLitNum:1
% 8.04/8.16 %MaxfuncDepth:2
% 8.04/8.16 %SharedTerms:4
% 8.04/8.16 %goalClause: 17
% 8.04/8.16 %singleGoalClaCount:1
% 8.04/8.16 [17]~E(f4(a1),a3)
% 8.04/8.16 [9]E(f2(x91,a1),x91)
% 8.04/8.16 [10]E(f5(x101,a3),x101)
% 8.04/8.16 [11]E(f2(x111,f4(x111)),a3)
% 8.04/8.16 [12]E(f5(x121,f4(x121)),a1)
% 8.04/8.16 [13]E(f2(x131,x132),f2(x132,x131))
% 8.04/8.16 [14]E(f5(x141,x142),f5(x142,x141))
% 8.04/8.16 [15]E(f5(f2(x151,x152),f2(x151,x153)),f2(x151,f5(x152,x153)))
% 8.04/8.16 [16]E(f2(f5(x161,x162),f5(x161,x163)),f5(x161,f2(x162,x163)))
% 8.04/8.16 %EqnAxiom
% 8.04/8.16 [1]E(x11,x11)
% 8.04/8.16 [2]E(x22,x21)+~E(x21,x22)
% 8.04/8.16 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 8.04/8.16 [4]~E(x41,x42)+E(f2(x41,x43),f2(x42,x43))
% 8.04/8.16 [5]~E(x51,x52)+E(f2(x53,x51),f2(x53,x52))
% 8.04/8.16 [6]~E(x61,x62)+E(f5(x61,x63),f5(x62,x63))
% 8.04/8.16 [7]~E(x71,x72)+E(f5(x73,x71),f5(x73,x72))
% 8.04/8.16 [8]~E(x81,x82)+E(f4(x81),f4(x82))
% 8.04/8.16
% 8.04/8.16 %-------------------------------------------
% 8.04/8.16 cnf(18,plain,
% 8.04/8.16 (E(x181,f2(x181,a1))),
% 8.04/8.16 inference(scs_inference,[],[9,2])).
% 8.04/8.16 cnf(38,plain,
% 8.04/8.16 (~E(f4(a1),f2(x381,f4(x381)))),
% 8.04/8.16 inference(scs_inference,[],[17,11,2,3])).
% 8.04/8.16 cnf(559,plain,
% 8.04/8.16 ($false),
% 8.04/8.16 inference(scs_inference,[],[38,18,13,3]),
% 8.04/8.16 ['proof']).
% 8.04/8.16 % SZS output end Proof
% 8.04/8.16 % Total time :7.550000s
%------------------------------------------------------------------------------