TSTP Solution File: LCL272-3 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : LCL272-3 : TPTP v8.1.2. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% Computer : n015.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 06:48:47 EDT 2023
% Result : Unsatisfiable 86.03s 86.08s
% Output : CNFRefutation 86.03s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LCL272-3 : TPTP v8.1.2. Released v2.3.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.13/0.34 % Computer : n015.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Fri Aug 25 06:39:51 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.58 start to proof:theBenchmark
% 85.97/86.06 %-------------------------------------------
% 85.97/86.06 % File :CSE---1.6
% 85.97/86.06 % Problem :theBenchmark
% 85.97/86.06 % Transform :cnf
% 85.97/86.06 % Format :tptp:raw
% 85.97/86.06 % Command :java -jar mcs_scs.jar %d %s
% 85.97/86.06
% 85.97/86.06 % Result :Theorem 85.380000s
% 85.97/86.06 % Output :CNFRefutation 85.380000s
% 85.97/86.06 %-------------------------------------------
% 86.03/86.08 %--------------------------------------------------------------------------
% 86.03/86.08 % File : LCL272-3 : TPTP v8.1.2. Released v2.3.0.
% 86.03/86.08 % Domain : Logic Calculi (Propositional)
% 86.03/86.08 % Problem : Principia Mathematica 4.25
% 86.03/86.08 % Version : [WR27] axioms.
% 86.03/86.08 % English :
% 86.03/86.08
% 86.03/86.08 % Refs : [WR27] Whitehead & Russell (1927), Principia Mathematica
% 86.03/86.08 % Source : [WR27]
% 86.03/86.08 % Names : Problem 4.25 [WR27]
% 86.03/86.08
% 86.03/86.08 % Status : Unsatisfiable
% 86.03/86.08 % Rating : 0.08 v8.1.0, 0.11 v7.5.0, 0.30 v7.4.0, 0.22 v7.2.0, 0.25 v7.1.0, 0.29 v7.0.0, 0.43 v6.3.0, 0.50 v6.2.0, 0.00 v6.1.0, 0.20 v6.0.0, 0.56 v5.5.0, 0.50 v5.4.0, 0.60 v5.3.0, 0.50 v5.2.0, 0.62 v5.1.0, 0.57 v4.1.0, 0.56 v4.0.1, 0.50 v4.0.0, 0.67 v3.5.0, 0.50 v3.3.0, 0.57 v3.2.0, 0.43 v3.1.0, 0.56 v2.7.0, 0.33 v2.6.0, 0.43 v2.5.0, 0.20 v2.4.0, 0.00 v2.3.0
% 86.03/86.08 % Syntax : Number of clauses : 11 ( 9 unt; 0 nHn; 3 RR)
% 86.03/86.08 % Number of literals : 14 ( 3 equ; 4 neg)
% 86.03/86.08 % Maximal clause size : 3 ( 1 avg)
% 86.03/86.08 % Maximal term depth : 4 ( 2 avg)
% 86.03/86.08 % Number of predicates : 3 ( 2 usr; 0 prp; 1-2 aty)
% 86.03/86.08 % Number of functors : 6 ( 6 usr; 1 con; 0-2 aty)
% 86.03/86.08 % Number of variables : 20 ( 1 sgn)
% 86.03/86.08 % SPC : CNF_UNS_RFO_SEQ_HRN
% 86.03/86.08
% 86.03/86.08 % Comments :
% 86.03/86.08 %--------------------------------------------------------------------------
% 86.03/86.08 %----Include axioms of propositional logic
% 86.03/86.08 include('Axioms/LCL004-0.ax').
% 86.03/86.08 include('Axioms/LCL004-1.ax').
% 86.03/86.08 include('Axioms/LCL004-2.ax').
% 86.03/86.08 %--------------------------------------------------------------------------
% 86.03/86.08 cnf(prove_this,negated_conjecture,
% 86.03/86.08 ~ theorem(equivalent(p,or(p,p))) ).
% 86.03/86.08
% 86.03/86.08 %--------------------------------------------------------------------------
% 86.03/86.08 %-------------------------------------------
% 86.03/86.08 % Proof found
% 86.03/86.08 % SZS status Theorem for theBenchmark
% 86.03/86.08 % SZS output start Proof
% 86.03/86.09 %ClaNum:8(EqnAxiom:0)
% 86.03/86.09 %VarNum:28(SingletonVarNum:14)
% 86.03/86.09 %MaxLitNum:3
% 86.03/86.09 %MaxfuncDepth:6
% 86.03/86.09 %SharedTerms:11
% 86.03/86.09 %goalClause: 6
% 86.03/86.09 %singleGoalClaCount:1
% 86.03/86.09 [6]~P2(f1(f2(f1(f2(f1(a3),f2(a3,a3))),f1(f2(f1(f2(a3,a3)),a3)))))
% 86.03/86.09 [2]P1(f2(f1(f2(x21,x21)),x21))
% 86.03/86.09 [1]P1(f2(f1(x11),f2(x12,x11)))
% 86.03/86.09 [3]P1(f2(f1(f2(x31,x32)),f2(x32,x31)))
% 86.03/86.09 [4]P1(f2(f1(f2(x41,f2(x42,x43))),f2(x42,f2(x41,x43))))
% 86.03/86.09 [5]P1(f2(f1(f2(f1(x51),x52)),f2(f1(f2(x53,x51)),f2(x53,x52))))
% 86.03/86.09 [7]~P1(x71)+P2(x71)
% 86.03/86.09 [8]P2(x81)+~P2(x82)+~P2(f2(f1(x82),x81))
% 86.03/86.09 %EqnAxiom
% 86.03/86.09
% 86.03/86.09 %-------------------------------------------
% 86.03/86.11 cnf(10,plain,
% 86.03/86.11 (P2(f2(f1(x101),f2(x102,x101)))),
% 86.03/86.11 inference(scs_inference,[],[1,7])).
% 86.03/86.11 cnf(13,plain,
% 86.03/86.11 (P2(f2(f1(f2(x131,x131)),x131))),
% 86.03/86.11 inference(scs_inference,[],[2,7])).
% 86.03/86.11 cnf(20,plain,
% 86.03/86.11 (P2(f2(f1(f2(x201,x202)),f2(x202,x201)))),
% 86.03/86.11 inference(scs_inference,[],[3,7])).
% 86.03/86.11 cnf(26,plain,
% 86.03/86.11 (P2(f2(f1(f2(x261,f2(x262,x263))),f2(x262,f2(x261,x263))))),
% 86.03/86.11 inference(scs_inference,[],[4,7])).
% 86.03/86.11 cnf(30,plain,
% 86.03/86.11 (P2(f2(f1(f2(f1(x301),x302)),f2(f1(f2(x303,x301)),f2(x303,x302))))),
% 86.03/86.11 inference(scs_inference,[],[5,7])).
% 86.03/86.11 cnf(102,plain,
% 86.03/86.11 (P2(f2(f1(f2(x1021,f2(x1022,x1023))),f2(x1021,f2(x1023,x1022))))),
% 86.03/86.11 inference(scs_inference,[],[20,30,8])).
% 86.03/86.11 cnf(182,plain,
% 86.03/86.11 (P2(f2(f1(x1821),f2(x1821,x1822)))),
% 86.03/86.11 inference(scs_inference,[],[10,102,8])).
% 86.03/86.11 cnf(205,plain,
% 86.03/86.11 (P2(f2(x2051,f2(f1(f2(x2052,x2051)),x2052)))),
% 86.03/86.11 inference(scs_inference,[],[20,26,8])).
% 86.03/86.11 cnf(308,plain,
% 86.03/86.11 (P2(f2(x3081,f2(x3082,f1(f2(x3082,x3081)))))),
% 86.03/86.11 inference(scs_inference,[],[205,102,8])).
% 86.03/86.11 cnf(933,plain,
% 86.03/86.11 (P2(f2(x9331,f1(f2(x9331,f1(f2(f1(x9332),f2(x9332,x9333)))))))),
% 86.03/86.12 inference(scs_inference,[],[308,182,8])).
% 86.03/86.12 cnf(4054,plain,
% 86.03/86.12 (P2(f2(f1(f2(x40541,f1(f2(f1(x40542),f2(x40542,x40543))))),x40541))),
% 86.03/86.12 inference(scs_inference,[],[20,933,8])).
% 86.03/86.12 cnf(4094,plain,
% 86.03/86.12 (~P2(f2(f1(f2(f1(f2(f1(a3),f2(a3,a3))),f1(f2(f1(f2(a3,a3)),a3)))),f1(f2(f1(x40941),f2(x40941,x40942)))))),
% 86.03/86.12 inference(scs_inference,[],[6,4054,8])).
% 86.03/86.12 cnf(4835,plain,
% 86.03/86.12 ($false),
% 86.03/86.12 inference(scs_inference,[],[205,13,4094,8]),
% 86.03/86.12 ['proof']).
% 86.03/86.12 % SZS output end Proof
% 86.03/86.12 % Total time :85.380000s
%------------------------------------------------------------------------------