TSTP Solution File: LCL218-3 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : LCL218-3 : 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 : n003.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 06:48:31 EDT 2023
% Result : Unsatisfiable 62.88s 62.91s
% Output : CNFRefutation 62.88s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LCL218-3 : TPTP v8.1.2. Released v2.3.0.
% 0.00/0.12 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.13/0.33 % Computer : n003.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 : Fri Aug 25 06:10:23 EDT 2023
% 0.13/0.33 % CPUTime :
% 0.19/0.56 start to proof:theBenchmark
% 62.84/62.89 %-------------------------------------------
% 62.84/62.89 % File :CSE---1.6
% 62.84/62.89 % Problem :theBenchmark
% 62.84/62.89 % Transform :cnf
% 62.84/62.89 % Format :tptp:raw
% 62.84/62.89 % Command :java -jar mcs_scs.jar %d %s
% 62.84/62.89
% 62.84/62.89 % Result :Theorem 62.290000s
% 62.84/62.89 % Output :CNFRefutation 62.290000s
% 62.84/62.89 %-------------------------------------------
% 62.88/62.90 %--------------------------------------------------------------------------
% 62.88/62.90 % File : LCL218-3 : TPTP v8.1.2. Released v2.3.0.
% 62.88/62.90 % Domain : Logic Calculi (Propositional)
% 62.88/62.90 % Problem : Principia Mathematica 2.67
% 62.88/62.90 % Version : [WR27] axioms.
% 62.88/62.90 % English :
% 62.88/62.90
% 62.88/62.90 % Refs : [WR27] Whitehead & Russell (1927), Principia Mathematica
% 62.88/62.90 % Source : [WR27]
% 62.88/62.90 % Names : Problem 2.67 [WR27]
% 62.88/62.90
% 62.88/62.90 % Status : Unsatisfiable
% 62.88/62.90 % Rating : 0.17 v8.1.0, 0.11 v7.5.0, 0.10 v7.4.0, 0.22 v7.2.0, 0.25 v7.1.0, 0.29 v6.3.0, 0.17 v6.2.0, 0.00 v6.0.0, 0.44 v5.5.0, 0.62 v5.4.0, 0.60 v5.3.0, 0.58 v5.2.0, 0.50 v5.1.0, 0.43 v4.1.0, 0.33 v4.0.1, 0.17 v4.0.0, 0.33 v3.5.0, 0.00 v3.4.0, 0.17 v3.3.0, 0.29 v3.2.0, 0.14 v3.1.0, 0.33 v2.6.0, 0.29 v2.5.0, 0.20 v2.4.0, 0.00 v2.3.0
% 62.88/62.90 % Syntax : Number of clauses : 9 ( 7 unt; 0 nHn; 3 RR)
% 62.88/62.90 % Number of literals : 12 ( 1 equ; 4 neg)
% 62.88/62.91 % Maximal clause size : 3 ( 1 avg)
% 62.88/62.91 % Maximal term depth : 4 ( 2 avg)
% 62.88/62.91 % Number of predicates : 3 ( 2 usr; 0 prp; 1-2 aty)
% 62.88/62.91 % Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% 62.88/62.91 % Number of variables : 16 ( 1 sgn)
% 62.88/62.91 % SPC : CNF_UNS_RFO_SEQ_HRN
% 62.88/62.91
% 62.88/62.91 % Comments :
% 62.88/62.91 %--------------------------------------------------------------------------
% 62.88/62.91 %----Include axioms of propositional logic
% 62.88/62.91 include('Axioms/LCL004-0.ax').
% 62.88/62.91 %--------------------------------------------------------------------------
% 62.88/62.91 cnf(prove_this,negated_conjecture,
% 62.88/62.91 ~ theorem(implies(implies(or(p,q),q),implies(p,q))) ).
% 62.88/62.91
% 62.88/62.91 %--------------------------------------------------------------------------
% 62.88/62.91 %-------------------------------------------
% 62.88/62.91 % Proof found
% 62.88/62.91 % SZS status Theorem for theBenchmark
% 62.88/62.91 % SZS output start Proof
% 62.88/62.91 %ClaNum:8(EqnAxiom:0)
% 62.88/62.91 %VarNum:28(SingletonVarNum:14)
% 62.88/62.91 %MaxLitNum:3
% 62.88/62.91 %MaxfuncDepth:3
% 62.88/62.91 %SharedTerms:10
% 62.88/62.91 %goalClause: 6
% 62.88/62.91 %singleGoalClaCount:1
% 62.88/62.91 [6]~P2(f2(f1(f2(f1(f2(a3,a4)),a4)),f2(f1(a3),a4)))
% 62.88/62.91 [2]P1(f2(f1(f2(x21,x21)),x21))
% 62.88/62.91 [1]P1(f2(f1(x11),f2(x12,x11)))
% 62.88/62.91 [3]P1(f2(f1(f2(x31,x32)),f2(x32,x31)))
% 62.88/62.91 [4]P1(f2(f1(f2(x41,f2(x42,x43))),f2(x42,f2(x41,x43))))
% 62.88/62.91 [5]P1(f2(f1(f2(f1(x51),x52)),f2(f1(f2(x53,x51)),f2(x53,x52))))
% 62.88/62.91 [7]~P1(x71)+P2(x71)
% 62.88/62.91 [8]P2(x81)+~P2(x82)+~P2(f2(f1(x82),x81))
% 62.88/62.91 %EqnAxiom
% 62.88/62.91
% 62.88/62.91 %-------------------------------------------
% 62.88/62.92 cnf(10,plain,
% 62.88/62.92 (P2(f2(f1(x101),f2(x102,x101)))),
% 62.88/62.92 inference(scs_inference,[],[1,7])).
% 62.88/62.92 cnf(11,plain,
% 62.88/62.92 (~P2(f2(f1(a3),a4))),
% 62.88/62.92 inference(scs_inference,[],[10,6,8])).
% 62.88/62.92 cnf(18,plain,
% 62.88/62.92 (P2(f2(f1(f2(x181,x181)),x181))),
% 62.88/62.92 inference(scs_inference,[],[2,10,11,8,7])).
% 62.88/62.92 cnf(20,plain,
% 62.88/62.92 (P2(f2(x201,f2(f1(f2(x202,x202)),x202)))),
% 62.88/62.92 inference(scs_inference,[],[10,18,8])).
% 62.88/62.92 cnf(28,plain,
% 62.88/62.92 (P2(f2(f1(f2(x281,x282)),f2(x282,x281)))),
% 62.88/62.92 inference(scs_inference,[],[3,11,10,8,7])).
% 62.88/62.92 cnf(37,plain,
% 62.88/62.92 (P2(f2(f1(f2(x371,f2(x372,x373))),f2(x372,f2(x371,x373))))),
% 62.88/62.92 inference(scs_inference,[],[4,10,20,8,7])).
% 62.88/62.92 cnf(46,plain,
% 62.88/62.92 (P2(f2(f1(f2(f1(x461),x462)),f2(f1(f2(x463,x461)),f2(x463,x462))))),
% 62.88/62.92 inference(scs_inference,[],[5,18,11,8,7])).
% 62.88/62.92 cnf(525,plain,
% 62.88/62.92 (P2(f2(f1(f2(x5251,x5252)),f2(f1(f2(f1(x5252),x5253)),f2(x5251,x5253))))),
% 62.88/62.92 inference(scs_inference,[],[37,46,8])).
% 62.88/62.92 cnf(889,plain,
% 62.88/62.92 (P2(f2(f1(f2(f1(f2(x8891,x8892)),x8893)),f2(f1(x8892),x8893)))),
% 62.88/62.92 inference(scs_inference,[],[525,10,8])).
% 62.88/62.92 cnf(1827,plain,
% 62.88/62.92 (~P2(f2(f1(a3),f2(a3,a4)))),
% 62.88/62.92 inference(scs_inference,[],[6,525,8])).
% 62.88/62.92 cnf(3982,plain,
% 62.88/62.92 ($false),
% 62.88/62.92 inference(scs_inference,[],[28,889,1827,8]),
% 62.88/62.92 ['proof']).
% 62.88/62.93 % SZS output end Proof
% 62.88/62.93 % Total time :62.290000s
%------------------------------------------------------------------------------