TSTP Solution File: LCL311-3 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : LCL311-3 : 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 : n018.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 06:48:53 EDT 2023
% Result : Unsatisfiable 153.69s 154.00s
% Output : CNFRefutation 153.78s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : LCL311-3 : TPTP v8.1.2. Released v2.3.0.
% 0.00/0.14 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.13/0.35 % Computer : n018.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Fri Aug 25 04:50:28 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.58 start to proof:theBenchmark
% 153.69/153.98 %-------------------------------------------
% 153.69/153.98 % File :CSE---1.6
% 153.69/153.99 % Problem :theBenchmark
% 153.69/153.99 % Transform :cnf
% 153.69/153.99 % Format :tptp:raw
% 153.69/153.99 % Command :java -jar mcs_scs.jar %d %s
% 153.69/153.99
% 153.69/153.99 % Result :Theorem 153.050000s
% 153.69/153.99 % Output :CNFRefutation 153.050000s
% 153.69/153.99 %-------------------------------------------
% 153.69/154.00 %--------------------------------------------------------------------------
% 153.69/154.00 % File : LCL311-3 : TPTP v8.1.2. Released v2.3.0.
% 153.69/154.00 % Domain : Logic Calculi (Propositional)
% 153.69/154.00 % Problem : Principia Mathematica 4.8
% 153.69/154.00 % Version : [WR27] axioms.
% 153.69/154.00 % English :
% 153.69/154.00
% 153.69/154.00 % Refs : [WR27] Whitehead & Russell (1927), Principia Mathematica
% 153.69/154.00 % Source : [WR27]
% 153.69/154.00 % Names : Problem 4.8 [WR27]
% 153.69/154.00
% 153.69/154.00 % Status : Unsatisfiable
% 153.69/154.00 % Rating : 0.08 v8.1.0, 0.00 v7.5.0, 0.20 v7.4.0, 0.11 v7.2.0, 0.12 v7.1.0, 0.14 v7.0.0, 0.29 v6.3.0, 0.33 v6.2.0, 0.00 v6.1.0, 0.20 v6.0.0, 0.67 v5.5.0, 0.56 v5.4.0, 0.60 v5.3.0, 0.50 v5.2.0, 0.62 v5.1.0, 0.57 v4.1.0, 0.44 v4.0.1, 0.33 v4.0.0, 0.50 v3.5.0, 0.33 v3.3.0, 0.43 v3.2.0, 0.29 v3.1.0, 0.44 v2.7.0, 0.17 v2.6.0, 0.29 v2.5.0, 0.00 v2.4.0, 0.33 v2.3.0
% 153.69/154.00 % Syntax : Number of clauses : 11 ( 9 unt; 0 nHn; 3 RR)
% 153.69/154.00 % Number of literals : 14 ( 3 equ; 4 neg)
% 153.69/154.00 % Maximal clause size : 3 ( 1 avg)
% 153.69/154.00 % Maximal term depth : 4 ( 2 avg)
% 153.69/154.00 % Number of predicates : 3 ( 2 usr; 0 prp; 1-2 aty)
% 153.69/154.00 % Number of functors : 6 ( 6 usr; 1 con; 0-2 aty)
% 153.69/154.00 % Number of variables : 20 ( 1 sgn)
% 153.69/154.00 % SPC : CNF_UNS_RFO_SEQ_HRN
% 153.69/154.00
% 153.69/154.00 % Comments :
% 153.69/154.00 %--------------------------------------------------------------------------
% 153.69/154.00 %----Include axioms of propositional logic
% 153.69/154.00 include('Axioms/LCL004-0.ax').
% 153.69/154.00 include('Axioms/LCL004-1.ax').
% 153.69/154.00 include('Axioms/LCL004-2.ax').
% 153.69/154.00 %--------------------------------------------------------------------------
% 153.69/154.00 cnf(prove_this,negated_conjecture,
% 153.69/154.00 ~ theorem(equivalent(implies(p,not(p)),not(p))) ).
% 153.69/154.00
% 153.69/154.00 %--------------------------------------------------------------------------
% 153.69/154.00 %-------------------------------------------
% 153.69/154.00 % Proof found
% 153.69/154.00 % SZS status Theorem for theBenchmark
% 153.69/154.00 % SZS output start Proof
% 153.69/154.01 %ClaNum:8(EqnAxiom:0)
% 153.69/154.01 %VarNum:28(SingletonVarNum:14)
% 153.69/154.01 %MaxLitNum:3
% 153.69/154.01 %MaxfuncDepth:6
% 153.69/154.01 %SharedTerms:12
% 153.69/154.01 %goalClause: 6
% 153.69/154.01 %singleGoalClaCount:1
% 153.69/154.01 [6]~P2(f1(f2(f1(f2(f1(f2(f1(a3),f1(a3))),f1(a3))),f1(f2(f1(f1(a3)),f2(f1(a3),f1(a3)))))))
% 153.69/154.01 [2]P1(f2(f1(f2(x21,x21)),x21))
% 153.69/154.01 [1]P1(f2(f1(x11),f2(x12,x11)))
% 153.69/154.01 [3]P1(f2(f1(f2(x31,x32)),f2(x32,x31)))
% 153.69/154.02 [4]P1(f2(f1(f2(x41,f2(x42,x43))),f2(x42,f2(x41,x43))))
% 153.69/154.02 [5]P1(f2(f1(f2(f1(x51),x52)),f2(f1(f2(x53,x51)),f2(x53,x52))))
% 153.69/154.02 [7]~P1(x71)+P2(x71)
% 153.69/154.02 [8]P2(x81)+~P2(x82)+~P2(f2(f1(x82),x81))
% 153.69/154.02 %EqnAxiom
% 153.69/154.02
% 153.69/154.02 %-------------------------------------------
% 153.78/154.03 cnf(10,plain,
% 153.78/154.03 (P2(f2(f1(x101),f2(x102,x101)))),
% 153.78/154.03 inference(scs_inference,[],[1,7])).
% 153.78/154.03 cnf(13,plain,
% 153.78/154.03 (P2(f2(f1(f2(x131,x131)),x131))),
% 153.78/154.03 inference(scs_inference,[],[2,7])).
% 153.78/154.03 cnf(20,plain,
% 153.78/154.03 (P2(f2(f1(f2(x201,x202)),f2(x202,x201)))),
% 153.78/154.03 inference(scs_inference,[],[3,7])).
% 153.78/154.03 cnf(22,plain,
% 153.78/154.03 (P2(f2(x221,f1(f2(x221,x221))))),
% 153.78/154.03 inference(scs_inference,[],[13,3,7,8])).
% 153.78/154.03 cnf(26,plain,
% 153.78/154.03 (P2(f2(f1(f2(x261,f2(x262,x263))),f2(x262,f2(x261,x263))))),
% 153.78/154.03 inference(scs_inference,[],[4,7])).
% 153.78/154.03 cnf(32,plain,
% 153.78/154.03 (P2(f1(f2(f1(f2(f1(f2(x321,x322)),f2(x322,x321))),f1(f2(f1(f2(x321,x322)),f2(x322,x321))))))),
% 153.78/154.03 inference(scs_inference,[],[22,20,8])).
% 153.78/154.03 cnf(40,plain,
% 153.78/154.03 (~P2(f2(f1(f2(f1(x401),f2(x402,x401))),f1(f2(f1(f2(f1(f2(f1(a3),f1(a3))),f1(a3))),f1(f2(f1(f1(a3)),f2(f1(a3),f1(a3))))))))),
% 153.78/154.03 inference(scs_inference,[],[1,6,7,8])).
% 153.78/154.03 cnf(164,plain,
% 153.78/154.03 (P2(f2(x1641,f2(f1(x1642),x1642)))),
% 153.78/154.03 inference(scs_inference,[],[10,26,8])).
% 153.78/154.03 cnf(201,plain,
% 153.78/154.03 (P2(f2(f1(x2011),x2011))),
% 153.78/154.03 inference(scs_inference,[],[32,164,8])).
% 153.78/154.03 cnf(267,plain,
% 153.78/154.03 (P2(f2(x2671,f2(f1(f2(x2671,x2672)),x2672)))),
% 153.78/154.03 inference(scs_inference,[],[201,26,8])).
% 153.78/154.03 cnf(4156,plain,
% 153.78/154.03 (P2(f2(f1(f2(f1(f2(f1(f2(x41561,x41561)),x41561)),x41562)),x41562))),
% 153.78/154.03 inference(scs_inference,[],[267,13,8])).
% 153.78/154.03 cnf(5265,plain,
% 153.78/154.03 ($false),
% 153.78/154.03 inference(scs_inference,[],[40,20,4156,8]),
% 153.78/154.03 ['proof']).
% 153.78/154.04 % SZS output end Proof
% 153.78/154.04 % Total time :153.050000s
%------------------------------------------------------------------------------