TSTP Solution File: LCL268-3 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : LCL268-3 : TPTP v8.1.2. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% Computer : n008.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 : Thu Aug 31 06:48:46 EDT 2023
% Result : Unsatisfiable 0.22s 0.67s
% Output : CNFRefutation 0.22s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : LCL268-3 : TPTP v8.1.2. Released v2.3.0.
% 0.00/0.15 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.15/0.36 % Computer : n008.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Fri Aug 25 02:10:02 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.22/0.51 start to proof:theBenchmark
% 0.22/0.66 %-------------------------------------------
% 0.22/0.66 % File :CSE---1.6
% 0.22/0.66 % Problem :theBenchmark
% 0.22/0.66 % Transform :cnf
% 0.22/0.66 % Format :tptp:raw
% 0.22/0.66 % Command :java -jar mcs_scs.jar %d %s
% 0.22/0.66
% 0.22/0.66 % Result :Theorem 0.100000s
% 0.22/0.66 % Output :CNFRefutation 0.100000s
% 0.22/0.66 %-------------------------------------------
% 0.22/0.66 %--------------------------------------------------------------------------
% 0.22/0.66 % File : LCL268-3 : TPTP v8.1.2. Released v2.3.0.
% 0.22/0.66 % Domain : Logic Calculi (Propositional)
% 0.22/0.66 % Problem : Principia Mathematica 4.2
% 0.22/0.66 % Version : [WR27] axioms.
% 0.22/0.66 % English :
% 0.22/0.66
% 0.22/0.66 % Refs : [WR27] Whitehead & Russell (1927), Principia Mathematica
% 0.22/0.66 % Source : [WR27]
% 0.22/0.66 % Names : Problem 4.2 [WR27]
% 0.22/0.66
% 0.22/0.66 % Status : Unsatisfiable
% 0.22/0.66 % Rating : 0.00 v7.0.0, 0.14 v6.3.0, 0.17 v6.2.0, 0.00 v6.0.0, 0.22 v5.5.0, 0.31 v5.4.0, 0.33 v5.2.0, 0.25 v5.1.0, 0.14 v5.0.0, 0.29 v4.1.0, 0.22 v4.0.1, 0.00 v2.6.0, 0.29 v2.5.0, 0.00 v2.3.0
% 0.22/0.66 % Syntax : Number of clauses : 11 ( 9 unt; 0 nHn; 3 RR)
% 0.22/0.66 % Number of literals : 14 ( 3 equ; 4 neg)
% 0.22/0.66 % Maximal clause size : 3 ( 1 avg)
% 0.22/0.66 % Maximal term depth : 4 ( 2 avg)
% 0.22/0.66 % Number of predicates : 3 ( 2 usr; 0 prp; 1-2 aty)
% 0.22/0.66 % Number of functors : 6 ( 6 usr; 1 con; 0-2 aty)
% 0.22/0.66 % Number of variables : 20 ( 1 sgn)
% 0.22/0.66 % SPC : CNF_UNS_RFO_SEQ_HRN
% 0.22/0.67
% 0.22/0.67 % Comments :
% 0.22/0.67 %--------------------------------------------------------------------------
% 0.22/0.67 %----Include axioms of propositional logic
% 0.22/0.67 include('Axioms/LCL004-0.ax').
% 0.22/0.67 include('Axioms/LCL004-1.ax').
% 0.22/0.67 include('Axioms/LCL004-2.ax').
% 0.22/0.67 %--------------------------------------------------------------------------
% 0.22/0.67 cnf(prove_this,negated_conjecture,
% 0.22/0.67 ~ theorem(equivalent(p,p)) ).
% 0.22/0.67
% 0.22/0.67 %--------------------------------------------------------------------------
% 0.22/0.67 %-------------------------------------------
% 0.22/0.67 % Proof found
% 0.22/0.67 % SZS status Theorem for theBenchmark
% 0.22/0.67 % SZS output start Proof
% 0.22/0.67 %ClaNum:8(EqnAxiom:0)
% 0.22/0.67 %VarNum:28(SingletonVarNum:14)
% 0.22/0.67 %MaxLitNum:3
% 0.22/0.67 %MaxfuncDepth:5
% 0.22/0.67 %SharedTerms:7
% 0.22/0.67 %goalClause: 6
% 0.22/0.67 %singleGoalClaCount:1
% 0.22/0.67 [6]~P2(f1(f2(f1(f2(f1(a3),a3)),f1(f2(f1(a3),a3)))))
% 0.22/0.67 [2]P1(f2(f1(f2(x21,x21)),x21))
% 0.22/0.67 [1]P1(f2(f1(x11),f2(x12,x11)))
% 0.22/0.67 [3]P1(f2(f1(f2(x31,x32)),f2(x32,x31)))
% 0.22/0.67 [4]P1(f2(f1(f2(x41,f2(x42,x43))),f2(x42,f2(x41,x43))))
% 0.22/0.67 [5]P1(f2(f1(f2(f1(x51),x52)),f2(f1(f2(x53,x51)),f2(x53,x52))))
% 0.22/0.67 [7]~P1(x71)+P2(x71)
% 0.22/0.67 [8]P2(x81)+~P2(x82)+~P2(f2(f1(x82),x81))
% 0.22/0.67 %EqnAxiom
% 0.22/0.67
% 0.22/0.67 %-------------------------------------------
% 0.22/0.67 cnf(10,plain,
% 0.22/0.67 (P2(f2(f1(x101),f2(x102,x101)))),
% 0.22/0.67 inference(scs_inference,[],[1,7])).
% 0.22/0.67 cnf(13,plain,
% 0.22/0.67 (P2(f2(f1(f2(x131,x131)),x131))),
% 0.22/0.67 inference(scs_inference,[],[2,7])).
% 0.22/0.67 cnf(22,plain,
% 0.22/0.67 (P2(f2(x221,f1(f2(x221,x221))))),
% 0.22/0.67 inference(scs_inference,[],[13,3,7,8])).
% 0.22/0.67 cnf(87,plain,
% 0.22/0.67 (~P2(f2(f1(a3),a3))),
% 0.22/0.67 inference(scs_inference,[],[22,6,8])).
% 0.22/0.67 cnf(91,plain,
% 0.22/0.67 (~P2(f2(f1(f2(f1(x911),f2(x912,x911))),f2(f1(a3),a3)))),
% 0.22/0.67 inference(scs_inference,[],[10,87,8])).
% 0.22/0.67 cnf(93,plain,
% 0.22/0.67 ($false),
% 0.22/0.67 inference(scs_inference,[],[91,10,4,8,7]),
% 0.22/0.67 ['proof']).
% 0.22/0.67 % SZS output end Proof
% 0.22/0.67 % Total time :0.100000s
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