%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : HEN002-5 : TPTP v8.2.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% Computer : n021.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 07:26:45 EDT 2024
% Result : Unsatisfiable 0.47s 0.62s
% Output : CNFRefutation 0.47s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : HEN002-5 : TPTP v8.2.0. Released v1.0.0.
% 0.07/0.12 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.12/0.33 % Computer : n021.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 : Sat Jun 22 05:26:54 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.47/0.59 start to proof:theBenchmark
% 0.47/0.62 %-------------------------------------------
% 0.47/0.62 % File :CSE---1.7
% 0.47/0.62 % Problem :theBenchmark
% 0.47/0.62 % Transform :cnf
% 0.47/0.62 % Format :tptp:raw
% 0.47/0.62 % Command :java -jar mcs_scs.jar %d %s
% 0.47/0.62
% 0.47/0.62 % Result :Theorem 0.000000s
% 0.47/0.62 % Output :CNFRefutation 0.000000s
% 0.47/0.62 %-------------------------------------------
% 0.47/0.62 %--------------------------------------------------------------------------
% 0.47/0.62 % File : HEN002-5 : TPTP v8.2.0. Released v1.0.0.
% 0.47/0.62 % Domain : Henkin Models
% 0.47/0.62 % Problem : zero/X = zero
% 0.47/0.62 % Version : [MOW76] (equality) axioms : Reduced > Complete.
% 0.47/0.62 % English :
% 0.47/0.62
% 0.47/0.62 % Refs : [MOW76] McCharen et al. (1976), Problems and Experiments for a
% 0.47/0.62 % Source : [ANL]
% 0.47/0.62 % Names : hp2.ver3.in [ANL]
% 0.47/0.62
% 0.47/0.62 % Status : Unsatisfiable
% 0.47/0.62 % Rating : 0.00 v6.2.0, 0.10 v6.1.0, 0.09 v6.0.0, 0.00 v5.3.0, 0.10 v5.2.0, 0.00 v5.1.0, 0.11 v5.0.0, 0.10 v4.1.0, 0.11 v4.0.1, 0.12 v4.0.0, 0.14 v3.7.0, 0.00 v2.0.0
% 0.47/0.62 % Syntax : Number of clauses : 6 ( 5 unt; 0 nHn; 2 RR)
% 0.47/0.62 % Number of literals : 8 ( 8 equ; 3 neg)
% 0.47/0.62 % Maximal clause size : 3 ( 1 avg)
% 0.47/0.62 % Maximal term depth : 4 ( 1 avg)
% 0.47/0.62 % Number of predicates : 1 ( 0 usr; 0 prp; 2-2 aty)
% 0.47/0.62 % Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% 0.47/0.62 % Number of variables : 9 ( 3 sgn)
% 0.47/0.62 % SPC : CNF_UNS_RFO_PEQ_NUE
% 0.47/0.62
% 0.47/0.62 % Comments : less_equal replaced by divides. This theorem is trivial
% 0.47/0.62 % in this axiuomatisation.
% 0.47/0.62 %--------------------------------------------------------------------------
% 0.47/0.62 %----Include Henkin model axioms, for the equality formulation with
% 0.47/0.62 %----less_equals removed.
% 0.47/0.62 include('Axioms/HEN003-0.ax').
% 0.47/0.62 %--------------------------------------------------------------------------
% 0.47/0.62 cnf(prove_zero_divide_anything_is_zero,negated_conjecture,
% 0.47/0.62 divide(zero,a) != zero ).
% 0.47/0.62
% 0.47/0.62 %--------------------------------------------------------------------------
% 0.47/0.62 %-------------------------------------------
% 0.47/0.62 % Proof found
% 0.47/0.62 % SZS status Theorem for theBenchmark
% 0.47/0.62 % SZS output start Proof
% 0.47/0.62 %ClaNum:11(EqnAxiom:5)
% 0.47/0.62 %VarNum:18(SingletonVarNum:9)
% 0.47/0.62 %MaxLitNum:3
% 0.47/0.62 %MaxfuncDepth:3
% 0.47/0.62 %SharedTerms:5
% 0.47/0.62 %goalClause: 10
% 0.47/0.62 %singleGoalClaCount:1
% 0.47/0.62 [10]~E(f2(a4,a3),a4)
% 0.47/0.62 [6]E(f2(x61,a1),a4)
% 0.47/0.62 [7]E(f2(a4,x71),a4)
% 0.47/0.62 [8]E(f2(f2(x81,x82),x81),a4)
% 0.47/0.62 [9]E(f2(f2(f2(x91,x92),f2(x93,x92)),f2(f2(x91,x93),x92)),a4)
% 0.47/0.62 [11]E(x111,x112)+~E(f2(x112,x111),a4)+~E(f2(x111,x112),a4)
% 0.47/0.62 %EqnAxiom
% 0.47/0.62 [1]E(x11,x11)
% 0.47/0.62 [2]E(x22,x21)+~E(x21,x22)
% 0.47/0.62 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.47/0.62 [4]~E(x41,x42)+E(f2(x41,x43),f2(x42,x43))
% 0.47/0.62 [5]~E(x51,x52)+E(f2(x53,x51),f2(x53,x52))
% 0.47/0.62
% 0.47/0.62 %-------------------------------------------
% 0.47/0.63 cnf(12,plain,
% 0.47/0.63 ($false),
% 0.47/0.63 inference(scs_inference,[],[10,7]),
% 0.47/0.63 ['proof']).
% 0.47/0.63 % SZS output end Proof
% 0.47/0.63 % Total time :0.000000s
%------------------------------------------------------------------------------