TSTP Solution File: LCL322-3 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : LCL322-3 : 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 : n029.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 06:48:55 EDT 2023
% Result : Unsatisfiable 2.79s 3.01s
% Output : CNFRefutation 2.79s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LCL322-3 : TPTP v8.1.2. Released v2.3.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.13/0.34 % Computer : n029.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 04:57:54 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.20/0.54 start to proof:theBenchmark
% 2.79/3.01 %-------------------------------------------
% 2.79/3.01 % File :CSE---1.6
% 2.79/3.01 % Problem :theBenchmark
% 2.79/3.01 % Transform :cnf
% 2.79/3.01 % Format :tptp:raw
% 2.79/3.01 % Command :java -jar mcs_scs.jar %d %s
% 2.79/3.01
% 2.79/3.01 % Result :Theorem 2.420000s
% 2.79/3.01 % Output :CNFRefutation 2.420000s
% 2.79/3.01 %-------------------------------------------
% 2.79/3.01 %--------------------------------------------------------------------------
% 2.79/3.01 % File : LCL322-3 : TPTP v8.1.2. Released v2.3.0.
% 2.79/3.01 % Domain : Logic Calculi (Propositional)
% 2.79/3.01 % Problem : Principia Mathematica 5.13
% 2.79/3.01 % Version : [WR27] axioms.
% 2.79/3.01 % English :
% 2.79/3.01
% 2.79/3.01 % Refs : [WR27] Whitehead & Russell (1927), Principia Mathematica
% 2.79/3.01 % Source : [WR27]
% 2.79/3.01 % Names : Problem 5.13 [WR27]
% 2.79/3.01
% 2.79/3.01 % Status : Unsatisfiable
% 2.79/3.01 % Rating : 0.08 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 v6.4.0, 0.14 v6.3.0, 0.17 v6.2.0, 0.00 v6.0.0, 0.33 v5.5.0, 0.31 v5.4.0, 0.27 v5.3.0, 0.17 v5.2.0, 0.38 v5.1.0, 0.29 v5.0.0, 0.14 v4.1.0, 0.22 v4.0.1, 0.00 v4.0.0, 0.17 v3.5.0, 0.00 v3.4.0, 0.17 v3.3.0, 0.29 v3.2.0, 0.00 v3.1.0, 0.11 v2.7.0, 0.00 v2.3.0
% 2.79/3.01 % Syntax : Number of clauses : 9 ( 7 unt; 0 nHn; 3 RR)
% 2.79/3.01 % Number of literals : 12 ( 1 equ; 4 neg)
% 2.79/3.01 % Maximal clause size : 3 ( 1 avg)
% 2.79/3.01 % Maximal term depth : 4 ( 2 avg)
% 2.79/3.01 % Number of predicates : 3 ( 2 usr; 0 prp; 1-2 aty)
% 2.79/3.01 % Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% 2.79/3.01 % Number of variables : 16 ( 1 sgn)
% 2.79/3.01 % SPC : CNF_UNS_RFO_SEQ_HRN
% 2.79/3.01
% 2.79/3.01 % Comments :
% 2.79/3.01 %--------------------------------------------------------------------------
% 2.79/3.01 %----Include axioms of propositional logic
% 2.79/3.01 include('Axioms/LCL004-0.ax').
% 2.79/3.01 %--------------------------------------------------------------------------
% 2.79/3.01 cnf(prove_this,negated_conjecture,
% 2.79/3.01 ~ theorem(or(implies(p,q),implies(q,p))) ).
% 2.79/3.01
% 2.79/3.01 %--------------------------------------------------------------------------
% 2.79/3.01 %-------------------------------------------
% 2.79/3.01 % Proof found
% 2.79/3.01 % SZS status Theorem for theBenchmark
% 2.79/3.01 % SZS output start Proof
% 2.79/3.01 %ClaNum:8(EqnAxiom:0)
% 2.79/3.01 %VarNum:28(SingletonVarNum:14)
% 2.79/3.01 %MaxLitNum:3
% 2.79/3.01 %MaxfuncDepth:3
% 2.79/3.01 %SharedTerms:8
% 2.79/3.01 %goalClause: 6
% 2.79/3.01 %singleGoalClaCount:1
% 2.79/3.01 [6]~P2(f2(f2(f1(a3),a4),f2(f1(a4),a3)))
% 2.79/3.01 [2]P1(f2(f1(f2(x21,x21)),x21))
% 2.79/3.01 [1]P1(f2(f1(x11),f2(x12,x11)))
% 2.79/3.01 [3]P1(f2(f1(f2(x31,x32)),f2(x32,x31)))
% 2.79/3.01 [4]P1(f2(f1(f2(x41,f2(x42,x43))),f2(x42,f2(x41,x43))))
% 2.79/3.01 [5]P1(f2(f1(f2(f1(x51),x52)),f2(f1(f2(x53,x51)),f2(x53,x52))))
% 2.79/3.01 [7]~P1(x71)+P2(x71)
% 2.79/3.01 [8]P2(x81)+~P2(x82)+~P2(f2(f1(x82),x81))
% 2.79/3.01 %EqnAxiom
% 2.79/3.01
% 2.79/3.01 %-------------------------------------------
% 2.79/3.02 cnf(10,plain,
% 2.79/3.02 (~P2(x101)+~P2(f2(f1(x101),f2(f2(f1(a3),a4),f2(f1(a4),a3))))),
% 2.79/3.02 inference(scs_inference,[],[6,7,8])).
% 2.79/3.02 cnf(11,plain,
% 2.79/3.02 (P2(f2(f1(x111),f2(x112,x111)))),
% 2.79/3.02 inference(scs_inference,[],[1,7])).
% 2.79/3.02 cnf(27,plain,
% 2.79/3.02 (P2(f2(f1(f2(x271,x272)),f2(x272,x271)))),
% 2.79/3.02 inference(scs_inference,[],[3,7])).
% 2.79/3.02 cnf(36,plain,
% 2.79/3.02 (P2(f2(f1(f2(x361,f2(x362,x363))),f2(x362,f2(x361,x363))))),
% 2.79/3.02 inference(scs_inference,[],[4,7])).
% 2.79/3.02 cnf(38,plain,
% 2.79/3.02 (P2(f2(f2(x381,x382),f1(x382)))),
% 2.79/3.02 inference(scs_inference,[],[4,11,27,7,8])).
% 2.79/3.02 cnf(43,plain,
% 2.79/3.02 (P2(f2(f1(f2(f1(x431),x432)),f2(f1(f2(x433,x431)),f2(x433,x432))))),
% 2.79/3.02 inference(scs_inference,[],[5,7])).
% 2.79/3.02 cnf(91,plain,
% 2.79/3.02 (~P2(f2(f2(f1(a4),a3),f2(f1(a3),a4)))),
% 2.79/3.02 inference(scs_inference,[],[3,7,10])).
% 2.79/3.02 cnf(454,plain,
% 2.79/3.02 (P2(f2(x4541,f2(f2(x4542,x4543),f1(x4543))))),
% 2.79/3.02 inference(scs_inference,[],[11,38,8])).
% 2.79/3.02 cnf(519,plain,
% 2.79/3.02 (P2(f2(f1(f2(x5191,f2(x5192,x5193))),f2(x5191,f2(x5193,x5192))))),
% 2.79/3.02 inference(scs_inference,[],[27,43,8])).
% 2.79/3.02 cnf(599,plain,
% 2.79/3.02 (~P2(f2(f2(f1(a4),a3),f2(a4,f1(a3))))),
% 2.79/3.02 inference(scs_inference,[],[91,519,8])).
% 2.79/3.02 cnf(945,plain,
% 2.79/3.02 ($false),
% 2.79/3.02 inference(scs_inference,[],[599,454,36,8]),
% 2.79/3.02 ['proof']).
% 2.79/3.02 % SZS output end Proof
% 2.79/3.02 % Total time :2.420000s
%------------------------------------------------------------------------------