TSTP Solution File: LCL213-3 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : LCL213-3 : 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 06:48:29 EDT 2023
% Result : Unsatisfiable 122.33s 122.38s
% Output : CNFRefutation 122.35s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : LCL213-3 : 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
% 0.11/0.31 % Computer : n032.cluster.edu
% 0.11/0.31 % Model : x86_64 x86_64
% 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31 % Memory : 8042.1875MB
% 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31 % CPULimit : 300
% 0.11/0.31 % WCLimit : 300
% 0.11/0.31 % DateTime : Thu Aug 24 21:56:12 EDT 2023
% 0.11/0.31 % CPUTime :
% 0.16/0.50 start to proof:theBenchmark
% 122.33/122.37 %-------------------------------------------
% 122.33/122.37 % File :CSE---1.6
% 122.33/122.37 % Problem :theBenchmark
% 122.33/122.37 % Transform :cnf
% 122.33/122.37 % Format :tptp:raw
% 122.33/122.37 % Command :java -jar mcs_scs.jar %d %s
% 122.33/122.37
% 122.33/122.37 % Result :Theorem 121.830000s
% 122.33/122.37 % Output :CNFRefutation 121.830000s
% 122.33/122.37 %-------------------------------------------
% 122.33/122.38 %--------------------------------------------------------------------------
% 122.33/122.38 % File : LCL213-3 : TPTP v8.1.2. Released v2.3.0.
% 122.33/122.38 % Domain : Logic Calculi (Propositional)
% 122.33/122.38 % Problem : Principia Mathematica 2.61
% 122.33/122.38 % Version : [WR27] axioms.
% 122.33/122.38 % English :
% 122.33/122.38
% 122.33/122.38 % Refs : [WR27] Whitehead & Russell (1927), Principia Mathematica
% 122.33/122.38 % Source : [WR27]
% 122.33/122.38 % Names : Problem 2.61 [WR27]
% 122.33/122.38
% 122.33/122.38 % Status : Unsatisfiable
% 122.33/122.38 % Rating : 0.50 v8.1.0, 0.33 v7.5.0, 0.50 v7.4.0, 0.56 v7.2.0, 0.62 v7.1.0, 0.71 v7.0.0, 0.57 v6.3.0, 0.50 v6.2.0, 0.33 v6.1.0, 0.60 v6.0.0, 0.78 v5.5.0, 0.88 v5.4.0, 0.87 v5.3.0, 1.00 v5.2.0, 0.75 v5.1.0, 0.71 v4.1.0, 0.78 v4.0.1, 0.67 v4.0.0, 0.83 v3.5.0, 0.67 v3.3.0, 0.71 v3.1.0, 0.67 v2.7.0, 0.50 v2.6.0, 0.57 v2.5.0, 0.60 v2.4.0, 0.67 v2.3.0
% 122.33/122.38 % Syntax : Number of clauses : 9 ( 7 unt; 0 nHn; 3 RR)
% 122.33/122.38 % Number of literals : 12 ( 1 equ; 4 neg)
% 122.33/122.38 % Maximal clause size : 3 ( 1 avg)
% 122.33/122.38 % Maximal term depth : 5 ( 2 avg)
% 122.33/122.38 % Number of predicates : 3 ( 2 usr; 0 prp; 1-2 aty)
% 122.33/122.38 % Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% 122.33/122.38 % Number of variables : 16 ( 1 sgn)
% 122.33/122.38 % SPC : CNF_UNS_RFO_SEQ_HRN
% 122.33/122.38
% 122.33/122.38 % Comments :
% 122.33/122.38 %--------------------------------------------------------------------------
% 122.33/122.38 %----Include axioms of propositional logic
% 122.33/122.38 include('Axioms/LCL004-0.ax').
% 122.33/122.38 %--------------------------------------------------------------------------
% 122.33/122.38 cnf(prove_this,negated_conjecture,
% 122.33/122.38 ~ theorem(implies(implies(p,q),implies(implies(not(p),q),q))) ).
% 122.33/122.38
% 122.33/122.38 %--------------------------------------------------------------------------
% 122.33/122.38 %-------------------------------------------
% 122.33/122.38 % Proof found
% 122.33/122.38 % SZS status Theorem for theBenchmark
% 122.33/122.38 % SZS output start Proof
% 122.33/122.39 %ClaNum:8(EqnAxiom:0)
% 122.33/122.39 %VarNum:28(SingletonVarNum:14)
% 122.33/122.39 %MaxLitNum:3
% 122.33/122.39 %MaxfuncDepth:6
% 122.33/122.39 %SharedTerms:11
% 122.33/122.39 %goalClause: 6
% 122.33/122.39 %singleGoalClaCount:1
% 122.33/122.39 [6]~P2(f2(f1(f2(f1(a3),a4)),f2(f1(f2(f1(f1(a3)),a4)),a4)))
% 122.33/122.39 [2]P1(f2(f1(f2(x21,x21)),x21))
% 122.33/122.39 [1]P1(f2(f1(x11),f2(x12,x11)))
% 122.33/122.39 [3]P1(f2(f1(f2(x31,x32)),f2(x32,x31)))
% 122.33/122.39 [4]P1(f2(f1(f2(x41,f2(x42,x43))),f2(x42,f2(x41,x43))))
% 122.33/122.39 [5]P1(f2(f1(f2(f1(x51),x52)),f2(f1(f2(x53,x51)),f2(x53,x52))))
% 122.33/122.39 [7]~P1(x71)+P2(x71)
% 122.33/122.39 [8]P2(x81)+~P2(x82)+~P2(f2(f1(x82),x81))
% 122.33/122.39 %EqnAxiom
% 122.33/122.39
% 122.33/122.39 %-------------------------------------------
% 122.35/122.40 cnf(10,plain,
% 122.35/122.40 (P2(f2(f1(x101),f2(x102,x101)))),
% 122.35/122.40 inference(scs_inference,[],[1,7])).
% 122.35/122.40 cnf(11,plain,
% 122.35/122.40 (~P2(f2(f1(f2(f1(f1(a3)),a4)),a4))),
% 122.35/122.40 inference(scs_inference,[],[10,6,8])).
% 122.35/122.40 cnf(18,plain,
% 122.35/122.40 (P2(f2(f1(f2(x181,x181)),x181))),
% 122.35/122.40 inference(scs_inference,[],[2,10,11,8,7])).
% 122.35/122.40 cnf(20,plain,
% 122.35/122.40 (P2(f2(x201,f2(f1(f2(x202,x202)),x202)))),
% 122.35/122.40 inference(scs_inference,[],[10,18,8])).
% 122.35/122.40 cnf(25,plain,
% 122.35/122.40 (~P2(a4)),
% 122.35/122.40 inference(scs_inference,[],[11,10,8])).
% 122.35/122.40 cnf(28,plain,
% 122.35/122.40 (P2(f2(f1(f2(x281,x282)),f2(x282,x281)))),
% 122.35/122.40 inference(scs_inference,[],[3,11,10,8,7])).
% 122.35/122.40 cnf(30,plain,
% 122.35/122.40 (~P2(f2(f1(f2(f1(x301),f2(x302,x301))),a4))),
% 122.35/122.40 inference(scs_inference,[],[10,25,8])).
% 122.35/122.40 cnf(37,plain,
% 122.35/122.40 (P2(f2(f1(f2(x371,f2(x372,x373))),f2(x372,f2(x371,x373))))),
% 122.35/122.40 inference(scs_inference,[],[4,10,20,8,7])).
% 122.35/122.40 cnf(46,plain,
% 122.35/122.40 (P2(f2(f1(f2(f1(x461),x462)),f2(f1(f2(x463,x461)),f2(x463,x462))))),
% 122.35/122.40 inference(scs_inference,[],[5,18,30,8,7])).
% 122.35/122.40 cnf(1141,plain,
% 122.35/122.40 (P2(f2(f1(f2(x11411,x11412)),f2(f1(f2(f1(x11412),x11413)),f2(x11411,x11413))))),
% 122.35/122.40 inference(scs_inference,[],[37,46,8])).
% 122.35/122.40 cnf(1163,plain,
% 122.35/122.40 (P2(f2(f1(f2(x11631,f2(x11632,x11633))),f2(x11631,f2(f1(f2(f1(x11633),x11634)),f2(x11632,x11634)))))),
% 122.35/122.40 inference(scs_inference,[],[46,1141,8])).
% 122.35/122.40 cnf(4931,plain,
% 122.35/122.40 (P2(f2(f1(f2(x49311,x49312)),f2(f1(f2(f1(x49311),x49313)),f2(x49312,x49313))))),
% 122.35/122.40 inference(scs_inference,[],[28,1163,8])).
% 122.35/122.40 cnf(5696,plain,
% 122.35/122.40 (P2(f2(f1(f2(x56961,f2(x56962,x56962))),f2(x56961,x56962)))),
% 122.35/122.40 inference(scs_inference,[],[46,18,8])).
% 122.35/122.40 cnf(5722,plain,
% 122.35/122.40 (P2(f2(f1(f2(x57221,f2(x57222,f2(x57223,x57223)))),f2(x57221,f2(x57222,x57223))))),
% 122.35/122.40 inference(scs_inference,[],[46,5696,8])).
% 122.35/122.40 cnf(5726,plain,
% 122.35/122.40 ($false),
% 122.35/122.40 inference(scs_inference,[],[6,5722,4931,8]),
% 122.35/122.40 ['proof']).
% 122.35/122.41 % SZS output end Proof
% 122.35/122.41 % Total time :121.830000s
%------------------------------------------------------------------------------