%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : HEN002-4 : TPTP v8.2.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% Computer : n022.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 0.11s 0.44s
% Output : CNFRefutation 0.11s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.07 % Problem : HEN002-4 : TPTP v8.2.0. Released v1.0.0.
% 0.04/0.07 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.06/0.26 % Computer : n022.cluster.edu
% 0.06/0.26 % Model : x86_64 x86_64
% 0.06/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.26 % Memory : 8042.1875MB
% 0.06/0.26 % OS : Linux 3.10.0-693.el7.x86_64
% 0.06/0.26 % CPULimit : 300
% 0.06/0.26 % WCLimit : 300
% 0.06/0.26 % DateTime : Sat Jun 22 05:28:53 EDT 2024
% 0.06/0.26 % CPUTime :
% 0.11/0.41 start to proof:theBenchmark
% 0.11/0.44 %-------------------------------------------
% 0.11/0.44 % File :CSE---1.7
% 0.11/0.44 % Problem :theBenchmark
% 0.11/0.44 % Transform :cnf
% 0.11/0.44 % Format :tptp:raw
% 0.11/0.44 % Command :java -jar mcs_scs.jar %d %s
% 0.11/0.44
% 0.11/0.44 % Result :Theorem 0.000000s
% 0.11/0.44 % Output :CNFRefutation 0.000000s
% 0.11/0.44 %-------------------------------------------
% 0.11/0.44 %--------------------------------------------------------------------------
% 0.11/0.44 % File : HEN002-4 : TPTP v8.2.0. Released v1.0.0.
% 0.11/0.44 % Domain : Henkin Models
% 0.11/0.44 % Problem : zero/X = zero
% 0.11/0.44 % Version : [MOW76] axioms : Augmented.
% 0.11/0.44 % English :
% 0.11/0.44
% 0.11/0.44 % Refs : [MOW76] McCharen et al. (1976), Problems and Experiments for a
% 0.11/0.44 % Source : [TPTP]
% 0.11/0.44 % Names :
% 0.11/0.44
% 0.11/0.44 % Status : Unsatisfiable
% 0.11/0.44 % 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
% 0.11/0.44 % Syntax : Number of clauses : 9 ( 6 unt; 0 nHn; 4 RR)
% 0.11/0.44 % Number of literals : 13 ( 5 equ; 5 neg)
% 0.11/0.44 % Maximal clause size : 3 ( 1 avg)
% 0.11/0.44 % Maximal term depth : 3 ( 1 avg)
% 0.11/0.44 % Number of predicates : 2 ( 1 usr; 0 prp; 2-2 aty)
% 0.11/0.44 % Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% 0.11/0.44 % Number of variables : 14 ( 4 sgn)
% 0.11/0.44 % SPC : CNF_UNS_RFO_SEQ_HRN
% 0.11/0.44
% 0.11/0.44 % Comments :
% 0.11/0.44 %--------------------------------------------------------------------------
% 0.11/0.44 %----Include Henkin model axioms for equality formulation
% 0.11/0.44 include('Axioms/HEN002-0.ax').
% 0.11/0.44 %--------------------------------------------------------------------------
% 0.11/0.44 cnf(everything_divide_id_is_zero,axiom,
% 0.11/0.44 divide(X,identity) = zero ).
% 0.11/0.44
% 0.11/0.44 cnf(prove_zero_over_a_is_zero,negated_conjecture,
% 0.11/0.44 divide(zero,a) != zero ).
% 0.11/0.44
% 0.11/0.44 %--------------------------------------------------------------------------
% 0.11/0.44 %-------------------------------------------
% 0.11/0.44 % Proof found
% 0.11/0.44 % SZS status Theorem for theBenchmark
% 0.11/0.44 % SZS output start Proof
% 0.11/0.44 %ClaNum:16(EqnAxiom:7)
% 0.11/0.44 %VarNum:27(SingletonVarNum:14)
% 0.11/0.44 %MaxLitNum:3
% 0.11/0.44 %MaxfuncDepth:2
% 0.11/0.44 %SharedTerms:5
% 0.11/0.44 %goalClause: 13
% 0.11/0.44 %singleGoalClaCount:1
% 0.11/0.44 [13]~E(f2(a4,a3),a4)
% 0.11/0.44 [9]P1(x91,a1)
% 0.11/0.44 [10]P1(a4,x101)
% 0.11/0.44 [8]E(f2(x81,a1),a4)
% 0.11/0.44 [11]P1(f2(x111,x112),x111)
% 0.11/0.44 [12]P1(f2(f2(x121,x122),f2(x123,x122)),f2(f2(x121,x123),x122))
% 0.11/0.44 [14]~P1(x141,x142)+E(f2(x141,x142),a4)
% 0.11/0.44 [15]P1(x151,x152)+~E(f2(x151,x152),a4)
% 0.11/0.44 [16]~P1(x162,x161)+~P1(x161,x162)+E(x161,x162)
% 0.11/0.44 %EqnAxiom
% 0.11/0.44 [1]E(x11,x11)
% 0.11/0.44 [2]E(x22,x21)+~E(x21,x22)
% 0.11/0.44 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.11/0.44 [4]~E(x41,x42)+E(f2(x41,x43),f2(x42,x43))
% 0.11/0.44 [5]~E(x51,x52)+E(f2(x53,x51),f2(x53,x52))
% 0.11/0.45 [6]P1(x62,x63)+~E(x61,x62)+~P1(x61,x63)
% 0.11/0.45 [7]P1(x73,x72)+~E(x71,x72)+~P1(x73,x71)
% 0.11/0.45
% 0.11/0.45 %-------------------------------------------
% 0.11/0.45 cnf(17,plain,
% 0.11/0.45 ($false),
% 0.11/0.45 inference(scs_inference,[],[13,10,14]),
% 0.11/0.45 ['proof']).
% 0.11/0.45 % SZS output end Proof
% 0.11/0.45 % Total time :0.000000s
%------------------------------------------------------------------------------