TSTP Solution File: LCL193-3 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : LCL193-3 : 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 : n012.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 06:48:22 EDT 2023
% Result : Unsatisfiable 196.56s 196.72s
% Output : CNFRefutation 196.56s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LCL193-3 : TPTP v8.1.2. Released v2.3.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.13/0.34 % Computer : n012.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 04:06:56 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.21/0.63 start to proof:theBenchmark
% 196.56/196.71 %-------------------------------------------
% 196.56/196.71 % File :CSE---1.6
% 196.56/196.71 % Problem :theBenchmark
% 196.56/196.71 % Transform :cnf
% 196.56/196.71 % Format :tptp:raw
% 196.56/196.71 % Command :java -jar mcs_scs.jar %d %s
% 196.56/196.71
% 196.56/196.71 % Result :Theorem 195.810000s
% 196.56/196.71 % Output :CNFRefutation 195.810000s
% 196.56/196.71 %-------------------------------------------
% 196.56/196.72 %--------------------------------------------------------------------------
% 196.56/196.72 % File : LCL193-3 : TPTP v8.1.2. Released v2.3.0.
% 196.56/196.72 % Domain : Logic Calculi (Propositional)
% 196.56/196.72 % Problem : Principia Mathematica 2.36
% 196.56/196.72 % Version : [WR27] axioms.
% 196.56/196.72 % English :
% 196.56/196.72
% 196.56/196.72 % Refs : [WR27] Whitehead & Russell (1927), Principia Mathematica
% 196.56/196.72 % Source : [Wr27]
% 196.56/196.72 % Names : Problem 2.36 [WR27]
% 196.56/196.72
% 196.56/196.72 % Status : Unsatisfiable
% 196.56/196.72 % Rating : 0.25 v8.1.0, 0.11 v7.5.0, 0.40 v7.4.0, 0.33 v7.3.0, 0.44 v7.2.0, 0.38 v7.1.0, 0.43 v7.0.0, 0.29 v6.3.0, 0.33 v6.2.0, 0.00 v6.1.0, 0.40 v6.0.0, 0.67 v5.5.0, 0.62 v5.4.0, 0.67 v5.3.0, 0.75 v5.2.0, 0.62 v5.1.0, 0.43 v5.0.0, 0.29 v4.1.0, 0.33 v4.0.1, 0.17 v4.0.0, 0.33 v3.5.0, 0.17 v3.4.0, 0.33 v3.3.0, 0.43 v3.2.0, 0.29 v3.1.0, 0.33 v2.6.0, 0.29 v2.5.0, 0.00 v2.4.0, 0.33 v2.3.0
% 196.56/196.72 % Syntax : Number of clauses : 9 ( 7 unt; 0 nHn; 3 RR)
% 196.56/196.72 % Number of literals : 12 ( 1 equ; 4 neg)
% 196.56/196.72 % Maximal clause size : 3 ( 1 avg)
% 196.56/196.72 % Maximal term depth : 4 ( 2 avg)
% 196.56/196.72 % Number of predicates : 3 ( 2 usr; 0 prp; 1-2 aty)
% 196.56/196.72 % Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% 196.56/196.72 % Number of variables : 16 ( 1 sgn)
% 196.56/196.72 % SPC : CNF_UNS_RFO_SEQ_HRN
% 196.56/196.72
% 196.56/196.72 % Comments :
% 196.56/196.72 %--------------------------------------------------------------------------
% 196.56/196.72 %----Include axioms of propositional logic
% 196.56/196.72 include('Axioms/LCL004-0.ax').
% 196.56/196.72 %--------------------------------------------------------------------------
% 196.56/196.72 cnf(prove_this,negated_conjecture,
% 196.56/196.72 ~ theorem(implies(implies(q,r),implies(or(p,q),or(r,p)))) ).
% 196.56/196.72
% 196.56/196.72 %--------------------------------------------------------------------------
% 196.56/196.72 %-------------------------------------------
% 196.56/196.72 % Proof found
% 196.56/196.72 % SZS status Theorem for theBenchmark
% 196.56/196.72 % SZS output start Proof
% 196.56/196.73 %ClaNum:8(EqnAxiom:0)
% 196.56/196.73 %VarNum:28(SingletonVarNum:14)
% 196.56/196.73 %MaxLitNum:3
% 196.56/196.73 %MaxfuncDepth:3
% 196.56/196.73 %SharedTerms:12
% 196.56/196.73 %goalClause: 6
% 196.56/196.73 %singleGoalClaCount:1
% 196.56/196.73 [6]~P2(f2(f1(f2(f1(a3),a5)),f2(f1(f2(a4,a3)),f2(a5,a4))))
% 196.56/196.73 [2]P1(f2(f1(f2(x21,x21)),x21))
% 196.56/196.73 [1]P1(f2(f1(x11),f2(x12,x11)))
% 196.56/196.73 [3]P1(f2(f1(f2(x31,x32)),f2(x32,x31)))
% 196.56/196.73 [4]P1(f2(f1(f2(x41,f2(x42,x43))),f2(x42,f2(x41,x43))))
% 196.56/196.73 [5]P1(f2(f1(f2(f1(x51),x52)),f2(f1(f2(x53,x51)),f2(x53,x52))))
% 196.56/196.73 [7]~P1(x71)+P2(x71)
% 196.56/196.73 [8]P2(x81)+~P2(x82)+~P2(f2(f1(x82),x81))
% 196.56/196.73 %EqnAxiom
% 196.56/196.73
% 196.56/196.73 %-------------------------------------------
% 196.56/196.75 cnf(10,plain,
% 196.56/196.75 (P2(f2(f1(x101),f2(x102,x101)))),
% 196.56/196.75 inference(scs_inference,[],[1,7])).
% 196.56/196.75 cnf(11,plain,
% 196.56/196.75 (~P2(f2(f1(f2(a4,a3)),f2(a5,a4)))),
% 196.56/196.75 inference(scs_inference,[],[10,6,8])).
% 196.56/196.75 cnf(18,plain,
% 196.56/196.75 (P2(f2(f1(f2(x181,x181)),x181))),
% 196.56/196.75 inference(scs_inference,[],[2,10,11,8,7])).
% 196.56/196.75 cnf(25,plain,
% 196.56/196.75 (~P2(f2(a5,a4))),
% 196.56/196.75 inference(scs_inference,[],[11,10,8])).
% 196.56/196.75 cnf(28,plain,
% 196.56/196.75 (P2(f2(f1(f2(x281,x282)),f2(x282,x281)))),
% 196.56/196.75 inference(scs_inference,[],[3,11,10,8,7])).
% 196.56/196.75 cnf(37,plain,
% 196.56/196.75 (P2(f2(f1(f2(x371,f2(x372,x373))),f2(x372,f2(x371,x373))))),
% 196.56/196.75 inference(scs_inference,[],[4,10,28,8,7])).
% 196.56/196.75 cnf(46,plain,
% 196.56/196.75 (P2(f2(f1(f2(f1(x461),x462)),f2(f1(f2(x463,x461)),f2(x463,x462))))),
% 196.56/196.75 inference(scs_inference,[],[5,18,25,8,7])).
% 196.56/196.75 cnf(53,plain,
% 196.56/196.75 (P2(f2(x531,f2(f1(x532),f2(x533,x532))))),
% 196.56/196.75 inference(scs_inference,[],[1,10,7,8])).
% 196.56/196.75 cnf(439,plain,
% 196.56/196.75 (P2(f2(f1(x4391),f2(x4392,f2(x4393,x4391))))),
% 196.56/196.75 inference(scs_inference,[],[37,53,8])).
% 196.56/196.75 cnf(1379,plain,
% 196.56/196.75 (P2(f2(f1(f2(x13791,x13792)),f2(x13791,f2(x13793,x13792))))),
% 196.56/196.75 inference(scs_inference,[],[10,46,8])).
% 196.56/196.75 cnf(1420,plain,
% 196.56/196.75 (P2(f2(x14201,f2(f1(f2(x14201,x14202)),f2(x14203,x14202))))),
% 196.56/196.75 inference(scs_inference,[],[37,1379,8])).
% 196.56/196.75 cnf(1434,plain,
% 196.56/196.75 (P2(f2(f1(f2(x14341,f2(x14342,x14343))),f2(x14341,f2(x14343,x14342))))),
% 196.56/196.75 inference(scs_inference,[],[46,28,8])).
% 196.56/196.75 cnf(4311,plain,
% 196.56/196.75 (P2(f2(f1(f2(f1(f2(f1(f2(x43111,x43112)),f2(x43112,x43111))),x43113)),f2(x43114,x43113)))),
% 196.56/196.75 inference(scs_inference,[],[28,1420,8])).
% 196.56/196.75 cnf(5408,plain,
% 196.56/196.75 (P2(f2(f1(x54081),f2(f2(x54082,x54081),x54083)))),
% 196.56/196.75 inference(scs_inference,[],[439,1434,8])).
% 196.56/196.75 cnf(5416,plain,
% 196.56/196.75 (P2(f2(f2(f2(x54161,x54162),x54163),f1(x54162)))),
% 196.56/196.75 inference(scs_inference,[],[28,5408,8])).
% 196.56/196.75 cnf(5650,plain,
% 196.56/196.75 (P2(f2(f1(f2(x56501,f2(x56502,f2(x56503,x56504)))),f2(x56501,f2(x56503,f2(x56502,x56504)))))),
% 196.56/196.75 inference(scs_inference,[],[46,37,8])).
% 196.56/196.75 cnf(5929,plain,
% 196.56/196.75 (P2(f2(x59291,f2(f1(f2(x59292,f2(x59293,x59294))),f2(x59292,f2(x59294,x59293)))))),
% 196.56/196.75 inference(scs_inference,[],[46,4311,8])).
% 196.56/196.75 cnf(6513,plain,
% 196.56/196.75 (P2(f2(f1(f2(f1(x65131),x65132)),f2(x65133,f2(f1(f2(x65133,x65131)),x65132))))),
% 196.56/196.75 inference(scs_inference,[],[46,5650,8])).
% 196.56/196.75 cnf(6528,plain,
% 196.56/196.75 (P2(f2(x65281,f2(f1(f2(x65281,f2(f1(x65282),x65283))),f2(f1(f2(x65284,x65282)),f2(x65284,x65283)))))),
% 196.56/196.75 inference(scs_inference,[],[46,6513,8])).
% 196.56/196.75 cnf(6829,plain,
% 196.56/196.75 (P2(f2(f1(f2(f1(f2(f2(f2(x68291,x68292),x68293),f1(x68292))),f2(f1(x68294),x68295))),f2(f1(f2(x68296,x68294)),f2(x68296,x68295))))),
% 196.56/196.75 inference(scs_inference,[],[6528,5416,8])).
% 196.56/196.75 cnf(6856,plain,
% 196.56/196.75 (P2(f2(f1(f2(x68561,f2(x68562,f2(x68563,x68564)))),f2(x68561,f2(x68562,f2(x68564,x68563)))))),
% 196.56/196.75 inference(scs_inference,[],[5929,6829,8])).
% 196.56/196.75 cnf(6927,plain,
% 196.56/196.75 ($false),
% 196.56/196.75 inference(scs_inference,[],[6,6856,5,8,7]),
% 196.56/196.75 ['proof']).
% 196.56/196.75 % SZS output end Proof
% 196.56/196.75 % Total time :195.810000s
%------------------------------------------------------------------------------