%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : HEN001-3 : 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 : n027.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 07:26:44 EDT 2024
% Result : Unsatisfiable 0.53s 0.59s
% Output : CNFRefutation 0.54s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : HEN001-3 : TPTP v8.2.0. Released v1.0.0.
% 0.12/0.12 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.14/0.34 % Computer : n027.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Sat Jun 22 05:30:39 EDT 2024
% 0.14/0.34 % CPUTime :
% 0.20/0.56 start to proof:theBenchmark
% 0.53/0.58 %-------------------------------------------
% 0.53/0.58 % File :CSE---1.7
% 0.53/0.58 % Problem :theBenchmark
% 0.53/0.58 % Transform :cnf
% 0.53/0.58 % Format :tptp:raw
% 0.53/0.58 % Command :java -jar mcs_scs.jar %d %s
% 0.53/0.58
% 0.53/0.58 % Result :Theorem 0.000000s
% 0.53/0.58 % Output :CNFRefutation 0.000000s
% 0.53/0.58 %-------------------------------------------
% 0.53/0.59 %--------------------------------------------------------------------------
% 0.53/0.59 % File : HEN001-3 : TPTP v8.2.0. Released v1.0.0.
% 0.53/0.59 % Domain : Henkin Models
% 0.53/0.59 % Problem : X/identity = zero
% 0.53/0.59 % Version : [MOW76] axioms.
% 0.53/0.59 % English :
% 0.53/0.59
% 0.53/0.59 % Refs : [MOW76] McCharen et al. (1976), Problems and Experiments for a
% 0.53/0.59 % Source : [ANL]
% 0.53/0.59 % Names : hp1.ver2.in [ANL]
% 0.53/0.59
% 0.53/0.59 % Status : Unsatisfiable
% 0.53/0.59 % Rating : 0.00 v5.1.0, 0.14 v4.1.0, 0.11 v4.0.1, 0.17 v3.7.0, 0.00 v2.0.0
% 0.53/0.59 % Syntax : Number of clauses : 8 ( 5 unt; 0 nHn; 4 RR)
% 0.53/0.59 % Number of literals : 12 ( 4 equ; 5 neg)
% 0.53/0.59 % Maximal clause size : 3 ( 1 avg)
% 0.53/0.59 % Maximal term depth : 3 ( 1 avg)
% 0.53/0.59 % Number of predicates : 2 ( 1 usr; 0 prp; 2-2 aty)
% 0.53/0.59 % Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% 0.53/0.59 % Number of variables : 13 ( 3 sgn)
% 0.53/0.59 % SPC : CNF_UNS_RFO_SEQ_HRN
% 0.53/0.59
% 0.53/0.59 % Comments :
% 0.53/0.59 %--------------------------------------------------------------------------
% 0.53/0.59 %----Include Henkin model axioms for equality formulation
% 0.53/0.59 include('Axioms/HEN002-0.ax').
% 0.53/0.59 %--------------------------------------------------------------------------
% 0.53/0.59 cnf(prove_a_divide_id_is_zero,negated_conjecture,
% 0.53/0.59 divide(a,identity) != zero ).
% 0.53/0.59
% 0.53/0.59 %--------------------------------------------------------------------------
% 0.53/0.59 %-------------------------------------------
% 0.53/0.59 % Proof found
% 0.53/0.59 % SZS status Theorem for theBenchmark
% 0.53/0.59 % SZS output start Proof
% 0.53/0.59 %ClaNum:15(EqnAxiom:7)
% 0.53/0.59 %VarNum:26(SingletonVarNum:13)
% 0.53/0.59 %MaxLitNum:3
% 0.53/0.59 %MaxfuncDepth:2
% 0.53/0.59 %SharedTerms:5
% 0.53/0.59 %goalClause: 12
% 0.53/0.59 %singleGoalClaCount:1
% 0.53/0.59 [12]~E(f2(a3,a1),a4)
% 0.53/0.59 [8]P1(x81,a1)
% 0.53/0.59 [9]P1(a4,x91)
% 0.53/0.59 [10]P1(f2(x101,x102),x101)
% 0.53/0.59 [11]P1(f2(f2(x111,x112),f2(x113,x112)),f2(f2(x111,x113),x112))
% 0.53/0.59 [13]~P1(x131,x132)+E(f2(x131,x132),a4)
% 0.53/0.59 [14]P1(x141,x142)+~E(f2(x141,x142),a4)
% 0.53/0.59 [15]~P1(x152,x151)+~P1(x151,x152)+E(x151,x152)
% 0.53/0.59 %EqnAxiom
% 0.53/0.59 [1]E(x11,x11)
% 0.53/0.59 [2]E(x22,x21)+~E(x21,x22)
% 0.53/0.59 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.53/0.59 [4]~E(x41,x42)+E(f2(x41,x43),f2(x42,x43))
% 0.53/0.59 [5]~E(x51,x52)+E(f2(x53,x51),f2(x53,x52))
% 0.53/0.59 [6]P1(x62,x63)+~E(x61,x62)+~P1(x61,x63)
% 0.53/0.59 [7]P1(x73,x72)+~E(x71,x72)+~P1(x73,x71)
% 0.53/0.59
% 0.53/0.59 %-------------------------------------------
% 0.54/0.59 cnf(16,plain,
% 0.54/0.59 ($false),
% 0.54/0.60 inference(scs_inference,[],[8,12,13]),
% 0.54/0.60 ['proof']).
% 0.54/0.60 % SZS output end Proof
% 0.54/0.60 % Total time :0.000000s
%------------------------------------------------------------------------------