TSTP Solution File: LCL180-3 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : LCL180-3 : 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 : n013.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 06:48:15 EDT 2023
% Result : Unsatisfiable 34.59s 34.73s
% Output : CNFRefutation 34.59s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : LCL180-3 : TPTP v8.1.2. Released v2.3.0.
% 0.00/0.12 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.13/0.33 % Computer : n013.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Fri Aug 25 03:11:02 EDT 2023
% 0.13/0.33 % CPUTime :
% 0.20/0.55 start to proof:theBenchmark
% 34.59/34.72 %-------------------------------------------
% 34.59/34.72 % File :CSE---1.6
% 34.59/34.72 % Problem :theBenchmark
% 34.59/34.72 % Transform :cnf
% 34.59/34.72 % Format :tptp:raw
% 34.59/34.72 % Command :java -jar mcs_scs.jar %d %s
% 34.59/34.72
% 34.59/34.72 % Result :Theorem 34.110000s
% 34.59/34.72 % Output :CNFRefutation 34.110000s
% 34.59/34.72 %-------------------------------------------
% 34.59/34.73 %--------------------------------------------------------------------------
% 34.59/34.73 % File : LCL180-3 : TPTP v8.1.2. Released v2.3.0.
% 34.59/34.73 % Domain : Logic Calculi (Propositional)
% 34.59/34.73 % Problem : Principia Mathematica 2.14
% 34.59/34.73 % Version : [WR27] axioms.
% 34.59/34.73 % English :
% 34.59/34.73
% 34.59/34.73 % Refs : [WR27] Whitehead & Russell (1927), Principia Mathematica
% 34.59/34.73 % Source : [Wr27]
% 34.59/34.73 % Names : Problem 2.14 [WR27]
% 34.59/34.73
% 34.59/34.73 % Status : Unsatisfiable
% 34.59/34.73 % 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 v6.3.0, 0.17 v6.2.0, 0.00 v6.0.0, 0.22 v5.5.0, 0.31 v5.4.0, 0.33 v5.2.0, 0.25 v5.1.0, 0.14 v5.0.0, 0.29 v4.1.0, 0.22 v4.0.1, 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, 0.17 v2.6.0, 0.29 v2.5.0, 0.20 v2.4.0, 0.00 v2.3.0
% 34.59/34.73 % Syntax : Number of clauses : 9 ( 7 unt; 0 nHn; 3 RR)
% 34.59/34.73 % Number of literals : 12 ( 1 equ; 4 neg)
% 34.59/34.73 % Maximal clause size : 3 ( 1 avg)
% 34.59/34.73 % Maximal term depth : 4 ( 2 avg)
% 34.59/34.73 % Number of predicates : 3 ( 2 usr; 0 prp; 1-2 aty)
% 34.59/34.73 % Number of functors : 4 ( 4 usr; 1 con; 0-2 aty)
% 34.59/34.73 % Number of variables : 16 ( 1 sgn)
% 34.59/34.73 % SPC : CNF_UNS_RFO_SEQ_HRN
% 34.59/34.73
% 34.59/34.73 % Comments :
% 34.59/34.73 %--------------------------------------------------------------------------
% 34.59/34.73 %----Include axioms of propositional logic
% 34.59/34.73 include('Axioms/LCL004-0.ax').
% 34.59/34.73 %--------------------------------------------------------------------------
% 34.59/34.73 cnf(prove_this,negated_conjecture,
% 34.59/34.73 ~ theorem(implies(not(not(p)),p)) ).
% 34.59/34.73
% 34.59/34.73 %--------------------------------------------------------------------------
% 34.59/34.73 %-------------------------------------------
% 34.59/34.73 % Proof found
% 34.59/34.73 % SZS status Theorem for theBenchmark
% 34.59/34.73 % SZS output start Proof
% 34.59/34.73 %ClaNum:8(EqnAxiom:0)
% 34.59/34.73 %VarNum:28(SingletonVarNum:14)
% 34.59/34.73 %MaxLitNum:3
% 34.59/34.73 %MaxfuncDepth:4
% 34.59/34.73 %SharedTerms:6
% 34.59/34.73 %goalClause: 6
% 34.59/34.73 %singleGoalClaCount:1
% 34.59/34.73 [6]~P2(f2(f1(f1(f1(a3))),a3))
% 34.59/34.73 [2]P1(f2(f1(f2(x21,x21)),x21))
% 34.59/34.73 [1]P1(f2(f1(x11),f2(x12,x11)))
% 34.59/34.73 [3]P1(f2(f1(f2(x31,x32)),f2(x32,x31)))
% 34.59/34.73 [4]P1(f2(f1(f2(x41,f2(x42,x43))),f2(x42,f2(x41,x43))))
% 34.59/34.73 [5]P1(f2(f1(f2(f1(x51),x52)),f2(f1(f2(x53,x51)),f2(x53,x52))))
% 34.59/34.73 [7]~P1(x71)+P2(x71)
% 34.59/34.73 [8]P2(x81)+~P2(x82)+~P2(f2(f1(x82),x81))
% 34.59/34.73 %EqnAxiom
% 34.59/34.73
% 34.59/34.73 %-------------------------------------------
% 34.59/34.75 cnf(10,plain,
% 34.59/34.75 (P2(f2(f1(x101),f2(x102,x101)))),
% 34.59/34.75 inference(scs_inference,[],[1,7])).
% 34.59/34.75 cnf(11,plain,
% 34.59/34.75 (~P2(a3)),
% 34.59/34.75 inference(scs_inference,[],[10,6,8])).
% 34.59/34.75 cnf(18,plain,
% 34.59/34.75 (P2(f2(f1(f2(x181,x181)),x181))),
% 34.59/34.75 inference(scs_inference,[],[2,10,11,8,7])).
% 34.59/34.75 cnf(20,plain,
% 34.59/34.75 (P2(f2(x201,f2(f1(f2(x202,x202)),x202)))),
% 34.59/34.75 inference(scs_inference,[],[10,18,8])).
% 34.59/34.75 cnf(25,plain,
% 34.59/34.75 (~P2(f2(a3,a3))),
% 34.59/34.75 inference(scs_inference,[],[11,18,8])).
% 34.59/34.75 cnf(28,plain,
% 34.59/34.75 (P2(f2(f1(f2(x281,x282)),f2(x282,x281)))),
% 34.59/34.75 inference(scs_inference,[],[3,11,18,8,7])).
% 34.59/34.75 cnf(30,plain,
% 34.59/34.75 (~P2(f2(f1(f2(f1(x301),f2(x302,x301))),f2(a3,a3)))),
% 34.59/34.75 inference(scs_inference,[],[10,25,8])).
% 34.59/34.75 cnf(34,plain,
% 34.59/34.75 (P2(f2(x341,f2(f1(f2(x342,x343)),f2(x343,x342))))),
% 34.59/34.75 inference(scs_inference,[],[10,28,8])).
% 34.59/34.75 cnf(37,plain,
% 34.59/34.75 (P2(f2(f1(f2(x371,f2(x372,x373))),f2(x372,f2(x371,x373))))),
% 34.59/34.75 inference(scs_inference,[],[4,10,28,8,7])).
% 34.59/34.75 cnf(46,plain,
% 34.59/34.75 (P2(f2(f1(f2(f1(x461),x462)),f2(f1(f2(x463,x461)),f2(x463,x462))))),
% 34.59/34.75 inference(scs_inference,[],[5,18,25,8,7])).
% 34.59/34.75 cnf(50,plain,
% 34.59/34.75 (P2(f2(x501,f2(x502,f2(f1(f2(x503,x504)),f2(x504,x503)))))),
% 34.59/34.75 inference(scs_inference,[],[10,34,8])).
% 34.59/34.75 cnf(70,plain,
% 34.59/34.75 (P2(f2(f1(f2(x701,f2(x702,x702))),f2(x701,x702)))),
% 34.59/34.75 inference(scs_inference,[],[18,46,8])).
% 34.59/34.75 cnf(77,plain,
% 34.59/34.75 (P2(f2(f1(f2(x771,x771)),f2(x772,x771)))),
% 34.59/34.75 inference(scs_inference,[],[20,37,8])).
% 34.59/34.75 cnf(82,plain,
% 34.59/34.75 (~P2(f2(f1(f2(f1(x821),f2(x822,x821))),f2(f2(a3,a3),f2(a3,a3))))),
% 34.59/34.75 inference(scs_inference,[],[30,70,8])).
% 34.59/34.75 cnf(89,plain,
% 34.59/34.75 (P2(f2(f1(f2(x891,x892)),f2(x893,f2(x892,x891))))),
% 34.59/34.75 inference(scs_inference,[],[37,34,8])).
% 34.59/34.75 cnf(103,plain,
% 34.59/34.75 (P2(f2(f1(f2(x1031,x1032)),f2(f1(f2(f1(x1032),x1033)),f2(x1031,x1033))))),
% 34.59/34.75 inference(scs_inference,[],[46,37,8])).
% 34.59/34.75 cnf(119,plain,
% 34.59/34.75 (P2(f2(f2(x1191,f2(f1(f2(x1192,x1193)),f2(x1193,x1192))),x1194))),
% 34.59/34.75 inference(scs_inference,[],[50,28,8])).
% 34.59/34.75 cnf(135,plain,
% 34.59/34.75 (P2(f2(f1(f2(x1351,f2(x1352,x1352))),f2(x1351,f2(x1353,x1352))))),
% 34.59/34.75 inference(scs_inference,[],[77,46,8])).
% 34.59/34.75 cnf(205,plain,
% 34.59/34.75 (P2(f2(x2051,f2(f1(f2(x2051,f2(x2052,x2052))),f2(x2053,x2052))))),
% 34.59/34.75 inference(scs_inference,[],[135,37,8])).
% 34.59/34.75 cnf(258,plain,
% 34.59/34.75 (P2(f2(f1(f2(f1(f2(f1(x2581),f2(x2582,x2581))),f2(x2583,x2583))),f2(x2584,x2583)))),
% 34.59/34.75 inference(scs_inference,[],[205,10,8])).
% 34.59/34.75 cnf(420,plain,
% 34.59/34.75 (P2(f2(f1(f2(x4201,x4202)),f2(x4201,f2(x4203,x4202))))),
% 34.59/34.75 inference(scs_inference,[],[10,46,8])).
% 34.59/34.75 cnf(503,plain,
% 34.59/34.75 (P2(f2(f1(f2(x5031,f2(x5032,x5032))),f2(x5033,f2(x5031,x5032))))),
% 34.59/34.75 inference(scs_inference,[],[70,420,8])).
% 34.59/34.75 cnf(546,plain,
% 34.59/34.75 (P2(f2(x5461,f2(f1(x5462),x5462)))),
% 34.59/34.75 inference(scs_inference,[],[503,258,8])).
% 34.59/34.75 cnf(558,plain,
% 34.59/34.75 (P2(f2(f1(x5581),x5581))),
% 34.59/34.75 inference(scs_inference,[],[119,546,8])).
% 34.59/34.75 cnf(823,plain,
% 34.59/34.75 (P2(f2(f1(f2(f1(f2(f1(x8231),x8231)),f2(x8232,x8232))),f2(x8233,x8232)))),
% 34.59/34.75 inference(scs_inference,[],[558,205,8])).
% 34.59/34.75 cnf(1152,plain,
% 34.59/34.75 (P2(f2(x11521,f2(x11522,f1(x11522))))),
% 34.59/34.75 inference(scs_inference,[],[82,89,823,7,8])).
% 34.59/34.75 cnf(1160,plain,
% 34.59/34.75 (P2(f2(x11601,f1(x11601)))),
% 34.59/34.75 inference(scs_inference,[],[119,1152,8])).
% 34.59/34.75 cnf(2122,plain,
% 34.59/34.75 (P2(f2(f1(f2(f1(f1(x21221)),x21222)),f2(x21221,x21222)))),
% 34.59/34.75 inference(scs_inference,[],[103,1160,8])).
% 34.59/34.75 cnf(2896,plain,
% 34.59/34.75 (P2(f2(x28961,f1(f1(f1(x28961)))))),
% 34.59/34.75 inference(scs_inference,[],[2122,1160,8])).
% 34.59/34.75 cnf(2926,plain,
% 34.59/34.75 ($false),
% 34.59/34.75 inference(scs_inference,[],[2896,6,28,8]),
% 34.59/34.75 ['proof']).
% 34.59/34.76 % SZS output end Proof
% 34.59/34.76 % Total time :34.110000s
%------------------------------------------------------------------------------