TSTP Solution File: BOO018-4 by CSE---1.6
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : BOO018-4 : TPTP v8.1.2. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% Computer : n024.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 18:05:26 EDT 2023
% Result : Unsatisfiable 0.21s 0.71s
% Output : CNFRefutation 0.65s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : BOO018-4 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.07/0.14 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.14/0.35 % Computer : n024.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Sun Aug 27 08:27:23 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.21/0.59 start to proof:theBenchmark
% 0.21/0.70 %-------------------------------------------
% 0.21/0.70 % File :CSE---1.6
% 0.21/0.70 % Problem :theBenchmark
% 0.21/0.70 % Transform :cnf
% 0.21/0.70 % Format :tptp:raw
% 0.21/0.70 % Command :java -jar mcs_scs.jar %d %s
% 0.21/0.70
% 0.21/0.70 % Result :Theorem 0.060000s
% 0.21/0.70 % Output :CNFRefutation 0.060000s
% 0.21/0.70 %-------------------------------------------
% 0.21/0.71 %--------------------------------------------------------------------------
% 0.21/0.71 % File : BOO018-4 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.21/0.71 % Domain : Boolean Algebra
% 0.21/0.71 % Problem : Inverse of multiplicative identity = Additive identity
% 0.21/0.71 % Version : [Ver94] (equality) axioms.
% 0.21/0.71 % English :
% 0.21/0.71
% 0.21/0.71 % Refs : [Ver94] Veroff (1994), Problem Set
% 0.21/0.71 % Source : [Ver94]
% 0.21/0.71 % Names : TG [Ver94]
% 0.21/0.71
% 0.21/0.71 % Status : Unsatisfiable
% 0.21/0.71 % Rating : 0.00 v7.4.0, 0.04 v7.3.0, 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 v2.0.0
% 0.21/0.71 % Syntax : Number of clauses : 9 ( 9 unt; 0 nHn; 1 RR)
% 0.21/0.71 % Number of literals : 9 ( 9 equ; 1 neg)
% 0.21/0.71 % Maximal clause size : 1 ( 1 avg)
% 0.21/0.71 % Maximal term depth : 3 ( 1 avg)
% 0.21/0.71 % Number of predicates : 1 ( 0 usr; 0 prp; 2-2 aty)
% 0.21/0.71 % Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% 0.21/0.71 % Number of variables : 14 ( 0 sgn)
% 0.21/0.71 % SPC : CNF_UNS_RFO_PEQ_UEQ
% 0.21/0.71
% 0.21/0.71 % Comments :
% 0.21/0.71 % Bugfixes : v1.2.1 - Clause prove_inverse_of_1_is_0 fixed.
% 0.21/0.71 %--------------------------------------------------------------------------
% 0.21/0.71 %----Include boolean algebra axioms for equality formulation
% 0.21/0.71 include('Axioms/BOO004-0.ax').
% 0.21/0.71 %--------------------------------------------------------------------------
% 0.21/0.71 cnf(prove_inverse_of_1_is_0,negated_conjecture,
% 0.21/0.71 inverse(multiplicative_identity) != additive_identity ).
% 0.21/0.71
% 0.21/0.71 %--------------------------------------------------------------------------
% 0.21/0.71 %-------------------------------------------
% 0.21/0.71 % Proof found
% 0.21/0.71 % SZS status Theorem for theBenchmark
% 0.21/0.71 % SZS output start Proof
% 0.21/0.71 %ClaNum:17(EqnAxiom:8)
% 0.21/0.71 %VarNum:30(SingletonVarNum:14)
% 0.21/0.71 %MaxLitNum:1
% 0.21/0.71 %MaxfuncDepth:2
% 0.21/0.71 %SharedTerms:4
% 0.21/0.71 %goalClause: 17
% 0.21/0.71 %singleGoalClaCount:1
% 0.21/0.71 [17]~E(f4(a3),a1)
% 0.21/0.71 [9]E(f2(x91,a1),x91)
% 0.21/0.71 [10]E(f5(x101,a3),x101)
% 0.21/0.71 [11]E(f2(x111,f4(x111)),a3)
% 0.21/0.71 [12]E(f5(x121,f4(x121)),a1)
% 0.21/0.71 [13]E(f2(x131,x132),f2(x132,x131))
% 0.21/0.71 [14]E(f5(x141,x142),f5(x142,x141))
% 0.21/0.71 [15]E(f5(f2(x151,x152),f2(x151,x153)),f2(x151,f5(x152,x153)))
% 0.21/0.71 [16]E(f2(f5(x161,x162),f5(x161,x163)),f5(x161,f2(x162,x163)))
% 0.21/0.71 %EqnAxiom
% 0.21/0.71 [1]E(x11,x11)
% 0.21/0.71 [2]E(x22,x21)+~E(x21,x22)
% 0.21/0.71 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.21/0.71 [4]~E(x41,x42)+E(f2(x41,x43),f2(x42,x43))
% 0.21/0.71 [5]~E(x51,x52)+E(f2(x53,x51),f2(x53,x52))
% 0.21/0.71 [6]~E(x61,x62)+E(f5(x61,x63),f5(x62,x63))
% 0.21/0.71 [7]~E(x71,x72)+E(f5(x73,x71),f5(x73,x72))
% 0.21/0.71 [8]~E(x81,x82)+E(f4(x81),f4(x82))
% 0.21/0.71
% 0.21/0.71 %-------------------------------------------
% 0.65/0.72 cnf(18,plain,
% 0.65/0.72 (E(x181,f2(x181,a1))),
% 0.65/0.72 inference(scs_inference,[],[9,2])).
% 0.65/0.72 cnf(19,plain,
% 0.65/0.72 (~E(f4(a3),f2(a1,a1))),
% 0.65/0.72 inference(scs_inference,[],[17,9,2,3])).
% 0.65/0.72 cnf(20,plain,
% 0.65/0.72 (E(f2(x201,a1),x201)),
% 0.65/0.72 inference(rename_variables,[],[9])).
% 0.65/0.72 cnf(24,plain,
% 0.65/0.72 (E(f2(x241,f2(x242,a1)),f2(x241,x242))),
% 0.65/0.72 inference(scs_inference,[],[17,9,20,2,3,8,7,6,5])).
% 0.65/0.72 cnf(26,plain,
% 0.65/0.72 (~E(f2(f4(a3),a1),a1)),
% 0.65/0.72 inference(scs_inference,[],[17,18,3])).
% 0.65/0.72 cnf(42,plain,
% 0.65/0.72 (E(f2(f5(x421,a3),x422),f2(x421,x422))),
% 0.65/0.72 inference(scs_inference,[],[10,11,18,19,3,2,7,6,8,5,4])).
% 0.65/0.72 cnf(61,plain,
% 0.65/0.72 (~E(f2(f4(a3),a1),f5(x611,f4(x611)))),
% 0.65/0.72 inference(scs_inference,[],[12,26,3])).
% 0.65/0.72 cnf(69,plain,
% 0.65/0.72 (~E(f2(f4(a3),a1),f5(f4(x691),x691))),
% 0.65/0.72 inference(scs_inference,[],[14,61,3])).
% 0.65/0.72 cnf(77,plain,
% 0.65/0.72 (~E(f5(f4(x771),x771),f2(f4(a3),a1))),
% 0.65/0.72 inference(scs_inference,[],[69,2])).
% 0.65/0.72 cnf(97,plain,
% 0.65/0.72 (~E(f4(a3),f2(a1,f2(a1,a1)))),
% 0.65/0.72 inference(scs_inference,[],[24,19,3])).
% 0.65/0.72 cnf(101,plain,
% 0.65/0.72 ($false),
% 0.65/0.72 inference(scs_inference,[],[18,77,42,97,2,3]),
% 0.65/0.72 ['proof']).
% 0.65/0.72 % SZS output end Proof
% 0.65/0.72 % Total time :0.060000s
%------------------------------------------------------------------------------