%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : HEN001-1 : 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 0.53s 0.58s
% Output : CNFRefutation 0.53s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : HEN001-1 : TPTP v8.2.0. Released v1.0.0.
% 0.03/0.12 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.13/0.33 % Computer : n001.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Sat Jun 22 05:31:24 EDT 2024
% 0.13/0.33 % CPUTime :
% 0.20/0.55 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 %-------------------------------------------
% 0.53/0.58 %--------------------------------------------------------------------------
% 0.53/0.58 % File : HEN001-1 : TPTP v8.2.0. Released v1.0.0.
% 0.53/0.58 % Domain : Henkin Models
% 0.53/0.58 % Problem : X/identity = zero
% 0.53/0.58 % Version : [MOW76] axioms.
% 0.53/0.58 % English :
% 0.53/0.58
% 0.53/0.58 % Refs : [MOW76] McCharen et al. (1976), Problems and Experiments for a
% 0.53/0.58 % Source : [MOW76]
% 0.53/0.58 % Names : H1 [MOW76]
% 0.53/0.58 % : hp1.ver1.in [ANL]
% 0.53/0.58
% 0.53/0.58 % Status : Unsatisfiable
% 0.53/0.58 % Rating : 0.00 v5.3.0, 0.08 v5.2.0, 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
% 0.53/0.58 % Syntax : Number of clauses : 10 ( 4 unt; 0 nHn; 7 RR)
% 0.53/0.58 % Number of literals : 22 ( 2 equ; 13 neg)
% 0.53/0.58 % Maximal clause size : 6 ( 2 avg)
% 0.53/0.58 % Maximal term depth : 2 ( 1 avg)
% 0.53/0.58 % Number of predicates : 3 ( 2 usr; 0 prp; 2-3 aty)
% 0.53/0.58 % Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% 0.53/0.58 % Number of variables : 25 ( 3 sgn)
% 0.53/0.58 % SPC : CNF_UNS_RFO_SEQ_HRN
% 0.53/0.58
% 0.53/0.58 % Comments :
% 0.53/0.58 %--------------------------------------------------------------------------
% 0.53/0.58 %----Include Henkin model axioms
% 0.53/0.58 include('Axioms/HEN001-0.ax').
% 0.53/0.58 %--------------------------------------------------------------------------
% 0.53/0.58 cnf(prove_everything_divide_identity_is_zero,negated_conjecture,
% 0.53/0.58 ~ quotient(x,identity,zero) ).
% 0.53/0.58
% 0.53/0.58 %--------------------------------------------------------------------------
% 0.53/0.58 %-------------------------------------------
% 0.53/0.58 % Proof found
% 0.53/0.58 % SZS status Theorem for theBenchmark
% 0.53/0.58 % SZS output start Proof
% 0.53/0.58 %ClaNum:20(EqnAxiom:10)
% 0.53/0.58 %VarNum:50(SingletonVarNum:25)
% 0.53/0.58 %MaxLitNum:6
% 0.53/0.58 %MaxfuncDepth:1
% 0.53/0.58 %SharedTerms:4
% 0.53/0.58 %goalClause: 14
% 0.53/0.58 %singleGoalClaCount:1
% 0.53/0.58 [14]~P2(a4,a1,a3)
% 0.53/0.58 [11]P1(x111,a1)
% 0.53/0.58 [12]P1(a3,x121)
% 0.53/0.58 [13]P2(x131,x132,f2(x131,x132))
% 0.53/0.58 [16]~P1(x161,x162)+P2(x161,x162,a3)
% 0.53/0.58 [17]P1(x171,x172)+~P2(x171,x172,a3)
% 0.53/0.58 [18]P1(x181,x182)+~P2(x182,x183,x181)
% 0.53/0.58 [15]~P1(x152,x151)+~P1(x151,x152)+E(x151,x152)
% 0.53/0.58 [19]~P2(x193,x194,x191)+E(x191,x192)+~P2(x193,x194,x192)
% 0.53/0.58 [20]~P2(x208,x207,x205)+P1(x201,x202)+~P2(x203,x204,x201)+~P2(x205,x206,x202)+~P2(x207,x206,x204)+~P2(x208,x206,x203)
% 0.53/0.58 %EqnAxiom
% 0.53/0.58 [1]E(x11,x11)
% 0.53/0.58 [2]E(x22,x21)+~E(x21,x22)
% 0.53/0.58 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.53/0.58 [4]~E(x41,x42)+E(f2(x41,x43),f2(x42,x43))
% 0.53/0.58 [5]~E(x51,x52)+E(f2(x53,x51),f2(x53,x52))
% 0.53/0.58 [6]P1(x62,x63)+~E(x61,x62)+~P1(x61,x63)
% 0.53/0.58 [7]P1(x73,x72)+~E(x71,x72)+~P1(x73,x71)
% 0.53/0.58 [8]P2(x82,x83,x84)+~E(x81,x82)+~P2(x81,x83,x84)
% 0.53/0.58 [9]P2(x93,x92,x94)+~E(x91,x92)+~P2(x93,x91,x94)
% 0.53/0.58 [10]P2(x103,x104,x102)+~E(x101,x102)+~P2(x103,x104,x101)
% 0.53/0.58
% 0.53/0.58 %-------------------------------------------
% 0.53/0.59 cnf(21,plain,
% 0.53/0.59 ($false),
% 0.53/0.59 inference(scs_inference,[],[11,14,16]),
% 0.53/0.59 ['proof']).
% 0.53/0.59 % SZS output end Proof
% 0.53/0.59 % Total time :0.000000s
%------------------------------------------------------------------------------