TSTP Solution File: LCL191-3 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : LCL191-3 : 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 06:48:21 EDT 2023
% Result : Unsatisfiable 122.16s 122.22s
% Output : CNFRefutation 122.16s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : LCL191-3 : TPTP v8.1.2. Released v2.3.0.
% 0.00/0.10 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.09/0.31 % Computer : n003.cluster.edu
% 0.09/0.31 % Model : x86_64 x86_64
% 0.09/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.31 % Memory : 8042.1875MB
% 0.09/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.31 % CPULimit : 300
% 0.09/0.31 % WCLimit : 300
% 0.09/0.31 % DateTime : Fri Aug 25 05:25:23 EDT 2023
% 0.09/0.31 % CPUTime :
% 0.15/0.50 start to proof:theBenchmark
% 122.16/122.21 %-------------------------------------------
% 122.16/122.21 % File :CSE---1.6
% 122.16/122.21 % Problem :theBenchmark
% 122.16/122.21 % Transform :cnf
% 122.16/122.21 % Format :tptp:raw
% 122.16/122.21 % Command :java -jar mcs_scs.jar %d %s
% 122.16/122.21
% 122.16/122.21 % Result :Theorem 121.670000s
% 122.16/122.21 % Output :CNFRefutation 121.670000s
% 122.16/122.21 %-------------------------------------------
% 122.16/122.22 %--------------------------------------------------------------------------
% 122.16/122.22 % File : LCL191-3 : TPTP v8.1.2. Released v2.3.0.
% 122.16/122.22 % Domain : Logic Calculi (Propositional)
% 122.16/122.22 % Problem : Principia Mathematica 2.31
% 122.16/122.22 % Version : [WR27] axioms.
% 122.16/122.22 % English :
% 122.16/122.22
% 122.16/122.22 % Refs : [WR27] Whitehead & Russell (1927), Principia Mathematica
% 122.16/122.22 % Source : [Wr27]
% 122.16/122.22 % Names : Problem 2.31 [WR27]
% 122.16/122.22
% 122.16/122.22 % Status : Unsatisfiable
% 122.16/122.22 % Rating : 0.42 v8.1.0, 0.33 v7.5.0, 0.50 v7.4.0, 0.33 v7.3.0, 0.44 v7.2.0, 0.38 v7.1.0, 0.43 v6.3.0, 0.33 v6.2.0, 0.00 v6.1.0, 0.40 v6.0.0, 0.56 v5.4.0, 0.53 v5.3.0, 0.58 v5.2.0, 0.50 v5.1.0, 0.43 v5.0.0, 0.29 v4.1.0, 0.44 v4.0.1, 0.50 v3.5.0, 0.33 v3.4.0, 0.50 v3.3.0, 0.57 v3.1.0, 0.56 v2.7.0, 0.50 v2.6.0, 0.43 v2.5.0, 0.40 v2.4.0, 0.33 v2.3.0
% 122.16/122.22 % Syntax : Number of clauses : 9 ( 7 unt; 0 nHn; 3 RR)
% 122.16/122.22 % Number of literals : 12 ( 1 equ; 4 neg)
% 122.16/122.22 % Maximal clause size : 3 ( 1 avg)
% 122.16/122.22 % Maximal term depth : 4 ( 2 avg)
% 122.16/122.22 % Number of predicates : 3 ( 2 usr; 0 prp; 1-2 aty)
% 122.16/122.22 % Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% 122.16/122.22 % Number of variables : 16 ( 1 sgn)
% 122.16/122.22 % SPC : CNF_UNS_RFO_SEQ_HRN
% 122.16/122.22
% 122.16/122.22 % Comments :
% 122.16/122.22 %--------------------------------------------------------------------------
% 122.16/122.22 %----Include axioms of propositional logic
% 122.16/122.22 include('Axioms/LCL004-0.ax').
% 122.16/122.22 %--------------------------------------------------------------------------
% 122.16/122.22 cnf(prove_this,negated_conjecture,
% 122.16/122.22 ~ theorem(implies(or(p,or(q,r)),or(or(p,q),r))) ).
% 122.16/122.22
% 122.16/122.22 %--------------------------------------------------------------------------
% 122.16/122.22 %-------------------------------------------
% 122.16/122.22 % Proof found
% 122.16/122.22 % SZS status Theorem for theBenchmark
% 122.16/122.22 % SZS output start Proof
% 122.16/122.23 %ClaNum:8(EqnAxiom:0)
% 122.16/122.23 %VarNum:28(SingletonVarNum:14)
% 122.16/122.23 %MaxLitNum:3
% 122.16/122.23 %MaxfuncDepth:3
% 122.16/122.23 %SharedTerms:10
% 122.16/122.23 %goalClause: 6
% 122.16/122.23 %singleGoalClaCount:1
% 122.16/122.23 [6]~P2(f2(f1(f2(a3,f2(a4,a5))),f2(f2(a3,a4),a5)))
% 122.16/122.23 [2]P1(f2(f1(f2(x21,x21)),x21))
% 122.16/122.23 [1]P1(f2(f1(x11),f2(x12,x11)))
% 122.16/122.23 [3]P1(f2(f1(f2(x31,x32)),f2(x32,x31)))
% 122.16/122.23 [4]P1(f2(f1(f2(x41,f2(x42,x43))),f2(x42,f2(x41,x43))))
% 122.16/122.23 [5]P1(f2(f1(f2(f1(x51),x52)),f2(f1(f2(x53,x51)),f2(x53,x52))))
% 122.16/122.23 [7]~P1(x71)+P2(x71)
% 122.16/122.23 [8]P2(x81)+~P2(x82)+~P2(f2(f1(x82),x81))
% 122.16/122.23 %EqnAxiom
% 122.16/122.23
% 122.16/122.23 %-------------------------------------------
% 122.16/122.24 cnf(10,plain,
% 122.16/122.24 (P2(f2(f1(x101),f2(x102,x101)))),
% 122.16/122.24 inference(scs_inference,[],[1,7])).
% 122.16/122.24 cnf(11,plain,
% 122.16/122.24 (~P2(f2(f2(a3,a4),a5))),
% 122.16/122.24 inference(scs_inference,[],[10,6,8])).
% 122.16/122.24 cnf(28,plain,
% 122.16/122.24 (P2(f2(f1(f2(x281,x282)),f2(x282,x281)))),
% 122.16/122.24 inference(scs_inference,[],[3,11,10,8,7])).
% 122.16/122.24 cnf(37,plain,
% 122.16/122.24 (P2(f2(f1(f2(x371,f2(x372,x373))),f2(x372,f2(x371,x373))))),
% 122.16/122.24 inference(scs_inference,[],[4,10,28,8,7])).
% 122.16/122.24 cnf(44,plain,
% 122.16/122.24 (P2(f2(f1(f2(f1(x441),x442)),f2(f1(f2(x443,x441)),f2(x443,x442))))),
% 122.16/122.24 inference(scs_inference,[],[5,7])).
% 122.16/122.24 cnf(81,plain,
% 122.16/122.24 (P2(f2(f1(f2(x811,f2(x812,x813))),f2(x811,f2(x813,x812))))),
% 122.16/122.24 inference(scs_inference,[],[28,44,8])).
% 122.16/122.24 cnf(4733,plain,
% 122.16/122.24 (P2(f2(f1(f2(x47331,f2(x47332,x47333))),f2(f2(x47331,x47333),x47332)))),
% 122.16/122.24 inference(scs_inference,[],[81,37,8])).
% 122.16/122.24 cnf(5571,plain,
% 122.16/122.24 (P2(f2(f1(f2(x55711,f2(x55712,f2(x55713,x55714)))),f2(x55711,f2(f2(x55712,x55714),x55713))))),
% 122.16/122.24 inference(scs_inference,[],[44,4733,8])).
% 122.16/122.24 cnf(5575,plain,
% 122.16/122.24 ($false),
% 122.16/122.24 inference(scs_inference,[],[6,5571,81,8]),
% 122.16/122.24 ['proof']).
% 122.16/122.24 % SZS output end Proof
% 122.16/122.24 % Total time :121.670000s
%------------------------------------------------------------------------------