TSTP Solution File: LCL199-3 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : LCL199-3 : 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 : n024.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 06:48:24 EDT 2023
% Result : Unsatisfiable 108.26s 108.36s
% Output : CNFRefutation 108.26s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LCL199-3 : 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 : n024.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 : Thu Aug 24 17:39:09 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.56 start to proof:theBenchmark
% 108.26/108.35 %-------------------------------------------
% 108.26/108.35 % File :CSE---1.6
% 108.26/108.35 % Problem :theBenchmark
% 108.26/108.35 % Transform :cnf
% 108.26/108.35 % Format :tptp:raw
% 108.26/108.35 % Command :java -jar mcs_scs.jar %d %s
% 108.26/108.35
% 108.26/108.35 % Result :Theorem 107.730000s
% 108.26/108.35 % Output :CNFRefutation 107.730000s
% 108.26/108.35 %-------------------------------------------
% 108.26/108.36 %--------------------------------------------------------------------------
% 108.26/108.36 % File : LCL199-3 : TPTP v8.1.2. Released v2.3.0.
% 108.26/108.36 % Domain : Logic Calculi (Propositional)
% 108.26/108.36 % Problem : Principia Mathematica 2.45
% 108.26/108.36 % Version : [WR27] axioms.
% 108.26/108.36 % English :
% 108.26/108.36
% 108.26/108.36 % Refs : [WR27] Whitehead & Russell (1927), Principia Mathematica
% 108.26/108.36 % Source : [WR27]
% 108.26/108.36 % Names : Problem 2.45 [WR27]
% 108.26/108.36
% 108.26/108.36 % Status : Unsatisfiable
% 108.26/108.36 % 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, 0.33 v5.5.0, 0.38 v5.4.0, 0.33 v5.3.0, 0.25 v5.2.0, 0.38 v5.1.0, 0.29 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, 0.22 v2.7.0, 0.17 v2.6.0, 0.43 v2.5.0, 0.20 v2.4.0, 0.00 v2.3.0
% 108.26/108.36 % Syntax : Number of clauses : 9 ( 7 unt; 0 nHn; 3 RR)
% 108.26/108.36 % Number of literals : 12 ( 1 equ; 4 neg)
% 108.26/108.36 % Maximal clause size : 3 ( 1 avg)
% 108.26/108.36 % Maximal term depth : 4 ( 2 avg)
% 108.26/108.36 % Number of predicates : 3 ( 2 usr; 0 prp; 1-2 aty)
% 108.26/108.36 % Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% 108.26/108.36 % Number of variables : 16 ( 1 sgn)
% 108.26/108.36 % SPC : CNF_UNS_RFO_SEQ_HRN
% 108.26/108.36
% 108.26/108.36 % Comments :
% 108.26/108.36 %--------------------------------------------------------------------------
% 108.26/108.36 %----Include axioms of propositional logic
% 108.26/108.36 include('Axioms/LCL004-0.ax').
% 108.26/108.36 %--------------------------------------------------------------------------
% 108.26/108.36 cnf(prove_this,negated_conjecture,
% 108.26/108.36 ~ theorem(implies(not(or(p,q)),not(p))) ).
% 108.26/108.36
% 108.26/108.36 %--------------------------------------------------------------------------
% 108.26/108.36 %-------------------------------------------
% 108.26/108.36 % Proof found
% 108.26/108.36 % SZS status Theorem for theBenchmark
% 108.26/108.36 % SZS output start Proof
% 108.26/108.37 %ClaNum:8(EqnAxiom:0)
% 108.26/108.37 %VarNum:28(SingletonVarNum:14)
% 108.26/108.37 %MaxLitNum:3
% 108.26/108.37 %MaxfuncDepth:3
% 108.26/108.37 %SharedTerms:8
% 108.26/108.37 %goalClause: 6
% 108.26/108.37 %singleGoalClaCount:1
% 108.26/108.37 [6]~P2(f2(f1(f1(f2(a3,a4))),f1(a3)))
% 108.26/108.37 [2]P1(f2(f1(f2(x21,x21)),x21))
% 108.26/108.37 [1]P1(f2(f1(x11),f2(x12,x11)))
% 108.26/108.37 [3]P1(f2(f1(f2(x31,x32)),f2(x32,x31)))
% 108.26/108.37 [4]P1(f2(f1(f2(x41,f2(x42,x43))),f2(x42,f2(x41,x43))))
% 108.26/108.37 [5]P1(f2(f1(f2(f1(x51),x52)),f2(f1(f2(x53,x51)),f2(x53,x52))))
% 108.26/108.37 [7]~P1(x71)+P2(x71)
% 108.26/108.37 [8]P2(x81)+~P2(x82)+~P2(f2(f1(x82),x81))
% 108.26/108.37 %EqnAxiom
% 108.26/108.37
% 108.26/108.37 %-------------------------------------------
% 108.26/108.38 cnf(10,plain,
% 108.26/108.38 (~P2(x101)+~P2(f2(f1(x101),f2(f1(f1(f2(a3,a4))),f1(a3))))),
% 108.26/108.38 inference(scs_inference,[],[6,7,8])).
% 108.26/108.38 cnf(11,plain,
% 108.26/108.38 (P2(f2(f1(x111),f2(x112,x111)))),
% 108.26/108.38 inference(scs_inference,[],[1,7])).
% 108.26/108.38 cnf(12,plain,
% 108.26/108.38 (~P2(f1(a3))),
% 108.26/108.38 inference(scs_inference,[],[6,1,7,8])).
% 108.26/108.38 cnf(15,plain,
% 108.26/108.38 (~P2(f2(f1(f2(f1(x151),f2(x152,x151))),f1(a3)))),
% 108.26/108.38 inference(scs_inference,[],[11,12,7,8])).
% 108.26/108.38 cnf(17,plain,
% 108.26/108.38 (P2(f2(f1(f2(x171,x171)),x171))),
% 108.26/108.38 inference(scs_inference,[],[2,7])).
% 108.26/108.38 cnf(19,plain,
% 108.26/108.38 (~P2(f2(f1(a3),f1(a3)))),
% 108.26/108.38 inference(scs_inference,[],[2,12,7,8])).
% 108.26/108.38 cnf(23,plain,
% 108.26/108.38 (P2(f2(x231,f2(f1(f2(x232,x232)),x232)))),
% 108.26/108.38 inference(scs_inference,[],[11,12,17,7,8])).
% 108.26/108.38 cnf(26,plain,
% 108.26/108.38 (P2(f2(f1(f2(x261,x262)),f2(x262,x261)))),
% 108.26/108.38 inference(scs_inference,[],[3,7])).
% 108.26/108.38 cnf(35,plain,
% 108.26/108.38 (P2(f2(f1(f2(x351,f2(x352,x353))),f2(x352,f2(x351,x353))))),
% 108.26/108.38 inference(scs_inference,[],[4,7])).
% 108.26/108.38 cnf(41,plain,
% 108.26/108.38 (P2(f2(x411,f2(f1(f2(x412,x413)),f2(x413,x412))))),
% 108.26/108.38 inference(scs_inference,[],[15,11,26,7,8])).
% 108.26/108.38 cnf(44,plain,
% 108.26/108.38 (P2(f2(f1(f2(f1(x441),x442)),f2(f1(f2(x443,x441)),f2(x443,x442))))),
% 108.26/108.38 inference(scs_inference,[],[5,7])).
% 108.26/108.38 cnf(51,plain,
% 108.26/108.38 (~P2(f2(f1(f2(f1(f2(x511,x512)),f2(x512,x511))),f2(f1(a3),f1(a3))))),
% 108.26/108.39 inference(scs_inference,[],[19,26,7,8])).
% 108.26/108.39 cnf(56,plain,
% 108.26/108.39 (P2(f2(f1(f2(x561,x562)),f2(x561,f2(x563,x562))))),
% 108.26/108.39 inference(scs_inference,[],[11,44,8])).
% 108.26/108.39 cnf(66,plain,
% 108.26/108.39 (~P2(f2(f1(a3),f2(f1(f2(f1(f2(x661,x662)),f2(x662,x661))),f1(a3))))),
% 108.26/108.39 inference(scs_inference,[],[51,35,8])).
% 108.26/108.39 cnf(80,plain,
% 108.26/108.39 (~P2(f2(f1(a3),f1(f1(f2(a3,a4)))))),
% 108.26/108.39 inference(scs_inference,[],[3,7,10])).
% 108.26/108.39 cnf(94,plain,
% 108.26/108.39 (P2(f2(x941,f2(f1(x942),x942)))),
% 108.26/108.39 inference(scs_inference,[],[1,35,7,8])).
% 108.26/108.39 cnf(95,plain,
% 108.26/108.39 (P2(f2(f1(f2(x951,x952)),f2(x953,f2(x952,x951))))),
% 108.26/108.39 inference(scs_inference,[],[35,41,8])).
% 108.26/108.39 cnf(107,plain,
% 108.26/108.39 (P2(f2(f1(x1071),x1071))),
% 108.26/108.39 inference(scs_inference,[],[41,94,8])).
% 108.26/108.39 cnf(117,plain,
% 108.26/108.39 (P2(f2(f1(f2(x1171,x1172)),f2(x1173,f2(x1174,f2(x1172,x1171)))))),
% 108.26/108.39 inference(scs_inference,[],[56,95,8])).
% 108.26/108.39 cnf(134,plain,
% 108.26/108.39 (~P2(f2(f1(a3),f1(f2(f1(f2(x1341,x1342)),f2(x1342,x1341)))))),
% 108.26/108.39 inference(scs_inference,[],[66,95,8])).
% 108.26/108.39 cnf(176,plain,
% 108.26/108.39 (P2(f2(x1761,f2(x1762,f2(x1763,f1(x1763)))))),
% 108.26/108.39 inference(scs_inference,[],[107,117,8])).
% 108.26/108.39 cnf(183,plain,
% 108.26/108.39 (P2(f2(x1831,f2(x1832,f1(x1832))))),
% 108.26/108.39 inference(scs_inference,[],[107,176,8])).
% 108.26/108.39 cnf(193,plain,
% 108.26/108.39 (P2(f2(x1931,f1(x1931)))),
% 108.26/108.39 inference(scs_inference,[],[134,23,183,7,8])).
% 108.26/108.39 cnf(3773,plain,
% 108.26/108.39 (P2(f2(f1(f2(x37731,f2(x37732,x37733))),f2(x37731,f2(x37733,x37732))))),
% 108.26/108.39 inference(scs_inference,[],[26,44,8])).
% 108.26/108.39 cnf(4010,plain,
% 108.26/108.39 (P2(f2(f1(x40101),f2(x40101,x40102)))),
% 108.26/108.39 inference(scs_inference,[],[11,3773,8])).
% 108.26/108.39 cnf(5076,plain,
% 108.26/108.39 (P2(f2(f1(f2(x50761,x50762)),f2(x50761,f1(f1(x50762)))))),
% 108.26/108.39 inference(scs_inference,[],[193,44,8])).
% 108.26/108.39 cnf(5156,plain,
% 108.26/108.39 ($false),
% 108.26/108.39 inference(scs_inference,[],[80,4010,5076,8]),
% 108.26/108.39 ['proof']).
% 108.26/108.40 % SZS output end Proof
% 108.26/108.40 % Total time :107.730000s
%------------------------------------------------------------------------------