%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : HEN002-2 : 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 : n001.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 0.57s 0.67s
% Output : CNFRefutation 0.57s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.15 % Problem : HEN002-2 : TPTP v8.2.0. Released v1.0.0.
% 0.08/0.15 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.14/0.37 % Computer : n001.cluster.edu
% 0.14/0.37 % Model : x86_64 x86_64
% 0.14/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.37 % Memory : 8042.1875MB
% 0.14/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.37 % CPULimit : 300
% 0.14/0.37 % WCLimit : 300
% 0.14/0.37 % DateTime : Sat Jun 22 05:24:39 EDT 2024
% 0.14/0.37 % CPUTime :
% 0.56/0.63 start to proof:theBenchmark
% 0.57/0.66 %-------------------------------------------
% 0.57/0.66 % File :CSE---1.7
% 0.57/0.66 % Problem :theBenchmark
% 0.57/0.66 % Transform :cnf
% 0.57/0.66 % Format :tptp:raw
% 0.57/0.66 % Command :java -jar mcs_scs.jar %d %s
% 0.57/0.66
% 0.57/0.66 % Result :Theorem 0.000000s
% 0.57/0.66 % Output :CNFRefutation 0.000000s
% 0.57/0.66 %-------------------------------------------
% 0.57/0.67 %--------------------------------------------------------------------------
% 0.57/0.67 % File : HEN002-2 : TPTP v8.2.0. Released v1.0.0.
% 0.57/0.67 % Domain : Henkin Models
% 0.57/0.67 % Problem : zero/X = zero
% 0.57/0.67 % Version : [MOW76] axioms : Augmented.
% 0.57/0.67 % English :
% 0.57/0.67
% 0.57/0.67 % Refs : [MOW76] McCharen et al. (1976), Problems and Experiments for a
% 0.57/0.67 % Source : [MOW76]
% 0.57/0.67 % Names : H2 [MOW76]
% 0.57/0.67
% 0.57/0.67 % Status : Unsatisfiable
% 0.57/0.67 % 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
% 0.57/0.67 % Syntax : Number of clauses : 11 ( 5 unt; 0 nHn; 7 RR)
% 0.57/0.67 % Number of literals : 23 ( 2 equ; 13 neg)
% 0.57/0.67 % Maximal clause size : 6 ( 2 avg)
% 0.57/0.67 % Maximal term depth : 2 ( 1 avg)
% 0.57/0.67 % Number of predicates : 3 ( 2 usr; 0 prp; 2-3 aty)
% 0.57/0.67 % Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% 0.57/0.67 % Number of variables : 26 ( 4 sgn)
% 0.57/0.67 % SPC : CNF_UNS_RFO_SEQ_HRN
% 0.57/0.67
% 0.57/0.67 % Comments :
% 0.57/0.67 %--------------------------------------------------------------------------
% 0.57/0.67 %----Include Henkin model axioms
% 0.57/0.67 include('Axioms/HEN001-0.ax').
% 0.57/0.67 %--------------------------------------------------------------------------
% 0.57/0.67 %----McCharen uses this earlier result too. I don't
% 0.57/0.67 cnf(everything_divide_identity_is_zero,axiom,
% 0.57/0.67 quotient(X,identity,zero) ).
% 0.57/0.67
% 0.57/0.67 cnf(prove_zero_divide_anything_is_zero,negated_conjecture,
% 0.57/0.67 ~ quotient(zero,x,zero) ).
% 0.57/0.67
% 0.57/0.67 %--------------------------------------------------------------------------
% 0.57/0.67 %-------------------------------------------
% 0.57/0.67 % Proof found
% 0.57/0.67 % SZS status Theorem for theBenchmark
% 0.57/0.67 % SZS output start Proof
% 0.57/0.67 %ClaNum:21(EqnAxiom:10)
% 0.57/0.67 %VarNum:51(SingletonVarNum:26)
% 0.57/0.67 %MaxLitNum:6
% 0.57/0.67 %MaxfuncDepth:1
% 0.57/0.67 %SharedTerms:4
% 0.57/0.67 %goalClause: 15
% 0.57/0.67 %singleGoalClaCount:1
% 0.57/0.67 [15]~P2(a3,a4,a3)
% 0.57/0.67 [11]P1(x111,a1)
% 0.57/0.67 [12]P1(a3,x121)
% 0.57/0.67 [13]P2(x131,a1,a3)
% 0.57/0.67 [14]P2(x141,x142,f2(x141,x142))
% 0.57/0.67 [17]~P1(x171,x172)+P2(x171,x172,a3)
% 0.57/0.67 [18]P1(x181,x182)+~P2(x181,x182,a3)
% 0.57/0.67 [19]P1(x191,x192)+~P2(x192,x193,x191)
% 0.57/0.67 [16]~P1(x162,x161)+~P1(x161,x162)+E(x161,x162)
% 0.57/0.67 [20]~P2(x203,x204,x201)+E(x201,x202)+~P2(x203,x204,x202)
% 0.57/0.67 [21]~P2(x218,x217,x215)+P1(x211,x212)+~P2(x213,x214,x211)+~P2(x215,x216,x212)+~P2(x217,x216,x214)+~P2(x218,x216,x213)
% 0.57/0.67 %EqnAxiom
% 0.57/0.67 [1]E(x11,x11)
% 0.57/0.67 [2]E(x22,x21)+~E(x21,x22)
% 0.57/0.67 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.57/0.67 [4]~E(x41,x42)+E(f2(x41,x43),f2(x42,x43))
% 0.57/0.67 [5]~E(x51,x52)+E(f2(x53,x51),f2(x53,x52))
% 0.57/0.67 [6]P1(x62,x63)+~E(x61,x62)+~P1(x61,x63)
% 0.57/0.67 [7]P1(x73,x72)+~E(x71,x72)+~P1(x73,x71)
% 0.57/0.67 [8]P2(x82,x83,x84)+~E(x81,x82)+~P2(x81,x83,x84)
% 0.57/0.67 [9]P2(x93,x92,x94)+~E(x91,x92)+~P2(x93,x91,x94)
% 0.57/0.67 [10]P2(x103,x104,x102)+~E(x101,x102)+~P2(x103,x104,x101)
% 0.57/0.67
% 0.57/0.67 %-------------------------------------------
% 0.57/0.68 cnf(22,plain,
% 0.57/0.68 ($false),
% 0.57/0.68 inference(scs_inference,[],[15,12,17]),
% 0.57/0.68 ['proof']).
% 0.57/0.68 % SZS output end Proof
% 0.57/0.68 % Total time :0.000000s
%------------------------------------------------------------------------------