TSTP Solution File: LCL239-3 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : LCL239-3 : 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 : n032.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 06:48:39 EDT 2023
% Result : Unsatisfiable 2.32s 2.43s
% Output : CNFRefutation 2.32s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : LCL239-3 : TPTP v8.1.2. Released v2.3.0.
% 0.00/0.11 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.10/0.30 % Computer : n032.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % WCLimit : 300
% 0.10/0.30 % DateTime : Fri Aug 25 06:52:27 EDT 2023
% 0.10/0.30 % CPUTime :
% 0.15/0.46 start to proof:theBenchmark
% 2.32/2.42 %-------------------------------------------
% 2.32/2.42 % File :CSE---1.6
% 2.32/2.42 % Problem :theBenchmark
% 2.32/2.42 % Transform :cnf
% 2.32/2.42 % Format :tptp:raw
% 2.32/2.42 % Command :java -jar mcs_scs.jar %d %s
% 2.32/2.42
% 2.32/2.42 % Result :Theorem 1.910000s
% 2.32/2.42 % Output :CNFRefutation 1.910000s
% 2.32/2.42 %-------------------------------------------
% 2.32/2.42 %--------------------------------------------------------------------------
% 2.32/2.42 % File : LCL239-3 : TPTP v8.1.2. Released v2.3.0.
% 2.32/2.42 % Domain : Logic Calculi (Propositional)
% 2.32/2.42 % Problem : Principia Mathematica 3.24
% 2.32/2.42 % Version : [WR27] axioms.
% 2.32/2.42 % English :
% 2.32/2.42
% 2.32/2.42 % Refs : [WR27] Whitehead & Russell (1927), Principia Mathematica
% 2.32/2.42 % Source : [WR27]
% 2.32/2.42 % Names : Problem 3.24 [WR27]
% 2.32/2.42
% 2.32/2.42 % Status : Unsatisfiable
% 2.32/2.42 % Rating : 0.00 v7.0.0, 0.14 v6.3.0, 0.17 v6.2.0, 0.00 v6.0.0, 0.11 v5.5.0, 0.31 v5.4.0, 0.33 v5.2.0, 0.12 v5.1.0, 0.14 v4.1.0, 0.22 v4.0.1, 0.00 v3.3.0, 0.14 v3.2.0, 0.00 v2.6.0, 0.14 v2.5.0, 0.00 v2.3.0
% 2.32/2.42 % Syntax : Number of clauses : 10 ( 8 unt; 0 nHn; 3 RR)
% 2.32/2.42 % Number of literals : 13 ( 2 equ; 4 neg)
% 2.32/2.42 % Maximal clause size : 3 ( 1 avg)
% 2.32/2.42 % Maximal term depth : 4 ( 2 avg)
% 2.32/2.42 % Number of predicates : 3 ( 2 usr; 0 prp; 1-2 aty)
% 2.32/2.42 % Number of functors : 5 ( 5 usr; 1 con; 0-2 aty)
% 2.32/2.42 % Number of variables : 18 ( 1 sgn)
% 2.32/2.42 % SPC : CNF_UNS_RFO_SEQ_HRN
% 2.32/2.42
% 2.32/2.42 % Comments :
% 2.32/2.42 %--------------------------------------------------------------------------
% 2.32/2.42 %----Include axioms of propositional logic
% 2.32/2.42 include('Axioms/LCL004-0.ax').
% 2.32/2.42 include('Axioms/LCL004-1.ax').
% 2.32/2.42 %--------------------------------------------------------------------------
% 2.32/2.42 cnf(prove_this,negated_conjecture,
% 2.32/2.42 ~ theorem(not(and(p,not(p)))) ).
% 2.32/2.42
% 2.32/2.42 %--------------------------------------------------------------------------
% 2.32/2.42 %-------------------------------------------
% 2.32/2.43 % Proof found
% 2.32/2.43 % SZS status Theorem for theBenchmark
% 2.32/2.43 % SZS output start Proof
% 2.32/2.43 %ClaNum:8(EqnAxiom:0)
% 2.32/2.43 %VarNum:28(SingletonVarNum:14)
% 2.32/2.43 %MaxLitNum:3
% 2.32/2.43 %MaxfuncDepth:5
% 2.32/2.43 %SharedTerms:7
% 2.32/2.43 %goalClause: 6
% 2.32/2.43 %singleGoalClaCount:1
% 2.32/2.43 [6]~P2(f1(f1(f2(f1(a3),f1(f1(a3))))))
% 2.32/2.43 [2]P1(f2(f1(f2(x21,x21)),x21))
% 2.32/2.43 [1]P1(f2(f1(x11),f2(x12,x11)))
% 2.32/2.43 [3]P1(f2(f1(f2(x31,x32)),f2(x32,x31)))
% 2.32/2.43 [4]P1(f2(f1(f2(x41,f2(x42,x43))),f2(x42,f2(x41,x43))))
% 2.32/2.43 [5]P1(f2(f1(f2(f1(x51),x52)),f2(f1(f2(x53,x51)),f2(x53,x52))))
% 2.32/2.43 [7]~P1(x71)+P2(x71)
% 2.32/2.43 [8]P2(x81)+~P2(x82)+~P2(f2(f1(x82),x81))
% 2.32/2.43 %EqnAxiom
% 2.32/2.43
% 2.32/2.43 %-------------------------------------------
% 2.32/2.43 cnf(10,plain,
% 2.32/2.43 (P2(f2(f1(x101),f2(x102,x101)))),
% 2.32/2.43 inference(scs_inference,[],[1,7])).
% 2.32/2.43 cnf(15,plain,
% 2.32/2.43 (P2(f2(x151,f2(f1(f2(x152,x152)),x152)))),
% 2.32/2.43 inference(scs_inference,[],[10,2,7,8])).
% 2.32/2.43 cnf(20,plain,
% 2.32/2.43 (P2(f2(f1(f2(x201,x202)),f2(x202,x201)))),
% 2.32/2.43 inference(scs_inference,[],[3,7])).
% 2.32/2.43 cnf(26,plain,
% 2.32/2.43 (P2(f2(f1(f2(x261,f2(x262,x263))),f2(x262,f2(x261,x263))))),
% 2.32/2.43 inference(scs_inference,[],[4,7])).
% 2.32/2.43 cnf(30,plain,
% 2.32/2.43 (P2(f2(f1(f2(f1(x301),x302)),f2(f1(f2(x303,x301)),f2(x303,x302))))),
% 2.32/2.43 inference(scs_inference,[],[5,7])).
% 2.32/2.43 cnf(86,plain,
% 2.32/2.43 (P2(f2(f1(f2(x861,x861)),f2(x862,x861)))),
% 2.32/2.43 inference(scs_inference,[],[15,26,8])).
% 2.32/2.43 cnf(143,plain,
% 2.32/2.43 (P2(f2(f1(f2(x1431,f2(x1432,x1432))),f2(x1431,f2(x1433,x1432))))),
% 2.32/2.43 inference(scs_inference,[],[86,30,8])).
% 2.32/2.43 cnf(219,plain,
% 2.32/2.43 (P2(f2(f1(f2(x2191,x2192)),f2(f1(f2(f1(x2192),x2193)),f2(x2191,x2193))))),
% 2.32/2.43 inference(scs_inference,[],[26,30,8])).
% 2.32/2.43 cnf(223,plain,
% 2.32/2.43 (P2(f2(f1(f2(x2231,f2(f2(x2231,x2232),x2232))),f2(x2233,f2(x2231,x2232))))),
% 2.32/2.43 inference(scs_inference,[],[26,143,8])).
% 2.32/2.43 cnf(330,plain,
% 2.32/2.43 (P2(f2(x3301,f2(f1(x3302),x3302)))),
% 2.32/2.43 inference(scs_inference,[],[10,223,8])).
% 2.32/2.43 cnf(607,plain,
% 2.32/2.43 (P2(f2(f1(f2(f1(f2(f1(x6071),x6071)),x6072)),f2(x6073,x6072)))),
% 2.32/2.43 inference(scs_inference,[],[330,219,8])).
% 2.32/2.43 cnf(880,plain,
% 2.32/2.43 (P2(f2(x8801,f2(x8802,f1(x8802))))),
% 2.32/2.43 inference(scs_inference,[],[607,20,8])).
% 2.32/2.43 cnf(885,plain,
% 2.32/2.43 (P2(f2(x8851,f1(x8851)))),
% 2.32/2.43 inference(scs_inference,[],[607,880,8])).
% 2.32/2.43 cnf(894,plain,
% 2.32/2.43 (~P2(f2(f1(a3),f1(f1(a3))))),
% 2.32/2.43 inference(scs_inference,[],[885,6,8])).
% 2.32/2.43 cnf(897,plain,
% 2.32/2.43 ($false),
% 2.32/2.43 inference(scs_inference,[],[894,885]),
% 2.32/2.43 ['proof']).
% 2.32/2.43 % SZS output end Proof
% 2.32/2.43 % Total time :1.910000s
%------------------------------------------------------------------------------