TSTP Solution File: HEN002-4 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : HEN002-4 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% Computer : n019.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 : Thu Aug 31 01:54:00 EDT 2023
% Result : Unsatisfiable 0.21s 0.69s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : HEN002-4 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.14 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.14/0.36 % Computer : n019.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Thu Aug 24 13:29:28 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.21/0.64 start to proof:theBenchmark
% 0.21/0.68 %-------------------------------------------
% 0.21/0.68 % File :CSE---1.6
% 0.21/0.68 % Problem :theBenchmark
% 0.21/0.68 % Transform :cnf
% 0.21/0.68 % Format :tptp:raw
% 0.21/0.68 % Command :java -jar mcs_scs.jar %d %s
% 0.21/0.68
% 0.21/0.68 % Result :Theorem 0.000000s
% 0.21/0.68 % Output :CNFRefutation 0.000000s
% 0.21/0.68 %-------------------------------------------
% 0.21/0.69 %--------------------------------------------------------------------------
% 0.21/0.69 % File : HEN002-4 : TPTP v8.1.2. Released v1.0.0.
% 0.21/0.69 % Domain : Henkin Models
% 0.21/0.69 % Problem : zero/X = zero
% 0.21/0.69 % Version : [MOW76] axioms : Augmented.
% 0.21/0.69 % English :
% 0.21/0.69
% 0.21/0.69 % Refs : [MOW76] McCharen et al. (1976), Problems and Experiments for a
% 0.21/0.69 % Source : [TPTP]
% 0.21/0.69 % Names :
% 0.21/0.69
% 0.21/0.69 % Status : Unsatisfiable
% 0.21/0.69 % Rating : 0.00 v5.3.0, 0.08 v5.2.0, 0.00 v5.1.0, 0.14 v4.1.0, 0.22 v4.0.1, 0.33 v3.7.0, 0.00 v2.0.0
% 0.21/0.69 % Syntax : Number of clauses : 9 ( 6 unt; 0 nHn; 4 RR)
% 0.21/0.69 % Number of literals : 13 ( 5 equ; 5 neg)
% 0.21/0.69 % Maximal clause size : 3 ( 1 avg)
% 0.21/0.69 % Maximal term depth : 3 ( 1 avg)
% 0.21/0.69 % Number of predicates : 2 ( 1 usr; 0 prp; 2-2 aty)
% 0.21/0.69 % Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% 0.21/0.69 % Number of variables : 14 ( 4 sgn)
% 0.21/0.69 % SPC : CNF_UNS_RFO_SEQ_HRN
% 0.21/0.69
% 0.21/0.69 % Comments :
% 0.21/0.69 %--------------------------------------------------------------------------
% 0.21/0.69 %----Include Henkin model axioms for equality formulation
% 0.21/0.69 include('Axioms/HEN002-0.ax').
% 0.21/0.69 %--------------------------------------------------------------------------
% 0.21/0.69 cnf(everything_divide_id_is_zero,axiom,
% 0.21/0.69 divide(X,identity) = zero ).
% 0.21/0.69
% 0.21/0.69 cnf(prove_zero_over_a_is_zero,negated_conjecture,
% 0.21/0.69 divide(zero,a) != zero ).
% 0.21/0.69
% 0.21/0.69 %--------------------------------------------------------------------------
% 0.21/0.69 %-------------------------------------------
% 0.21/0.69 % Proof found
% 0.21/0.69 % SZS status Theorem for theBenchmark
% 0.21/0.69 % SZS output start Proof
% 0.21/0.69 %ClaNum:16(EqnAxiom:7)
% 0.21/0.69 %VarNum:27(SingletonVarNum:14)
% 0.21/0.69 %MaxLitNum:3
% 0.21/0.69 %MaxfuncDepth:2
% 0.21/0.69 %SharedTerms:5
% 0.21/0.69 %goalClause: 13
% 0.21/0.69 %singleGoalClaCount:1
% 0.21/0.69 [13]~E(f2(a4,a3),a4)
% 0.21/0.69 [9]P1(x91,a1)
% 0.21/0.69 [10]P1(a4,x101)
% 0.21/0.69 [8]E(f2(x81,a1),a4)
% 0.21/0.69 [11]P1(f2(x111,x112),x111)
% 0.21/0.69 [12]P1(f2(f2(x121,x122),f2(x123,x122)),f2(f2(x121,x123),x122))
% 0.21/0.69 [14]~P1(x141,x142)+E(f2(x141,x142),a4)
% 0.21/0.69 [15]P1(x151,x152)+~E(f2(x151,x152),a4)
% 0.21/0.69 [16]~P1(x162,x161)+~P1(x161,x162)+E(x161,x162)
% 0.21/0.69 %EqnAxiom
% 0.21/0.69 [1]E(x11,x11)
% 0.21/0.69 [2]E(x22,x21)+~E(x21,x22)
% 0.21/0.69 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.21/0.69 [4]~E(x41,x42)+E(f2(x41,x43),f2(x42,x43))
% 0.21/0.69 [5]~E(x51,x52)+E(f2(x53,x51),f2(x53,x52))
% 0.21/0.69 [6]P1(x62,x63)+~E(x61,x62)+~P1(x61,x63)
% 0.21/0.69 [7]P1(x73,x72)+~E(x71,x72)+~P1(x73,x71)
% 0.21/0.69
% 0.21/0.69 %-------------------------------------------
% 0.21/0.69 cnf(18,plain,
% 0.21/0.69 ($false),
% 0.21/0.69 inference(scs_inference,[],[13,10,8,2,14]),
% 0.21/0.69 ['proof']).
% 0.21/0.69 % SZS output end Proof
% 0.21/0.69 % Total time :0.000000s
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