TSTP Solution File: LCL323-3 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : LCL323-3 : 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 : n001.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 06:48:55 EDT 2023
% Result : Unsatisfiable 4.70s 4.79s
% Output : CNFRefutation 4.70s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LCL323-3 : 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 : n001.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 : Thu Aug 24 19:13:42 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.18/0.56 start to proof:theBenchmark
% 4.70/4.78 %-------------------------------------------
% 4.70/4.78 % File :CSE---1.6
% 4.70/4.78 % Problem :theBenchmark
% 4.70/4.78 % Transform :cnf
% 4.70/4.78 % Format :tptp:raw
% 4.70/4.78 % Command :java -jar mcs_scs.jar %d %s
% 4.70/4.78
% 4.70/4.78 % Result :Theorem 4.170000s
% 4.70/4.78 % Output :CNFRefutation 4.170000s
% 4.70/4.78 %-------------------------------------------
% 4.70/4.79 %--------------------------------------------------------------------------
% 4.70/4.79 % File : LCL323-3 : TPTP v8.1.2. Released v2.3.0.
% 4.70/4.79 % Domain : Logic Calculi (Propositional)
% 4.70/4.79 % Problem : Principia Mathematica 5.14
% 4.70/4.79 % Version : [WR27] axioms.
% 4.70/4.79 % English :
% 4.70/4.79
% 4.70/4.79 % Refs : [WR27] Whitehead & Russell (1927), Principia Mathematica
% 4.70/4.79 % Source : [WR27]
% 4.70/4.79 % Names : Problem 5.14 [WR27]
% 4.70/4.79
% 4.70/4.79 % Status : Unsatisfiable
% 4.70/4.79 % 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 v6.4.0, 0.14 v6.3.0, 0.17 v6.2.0, 0.00 v6.0.0, 0.33 v5.5.0, 0.31 v5.4.0, 0.27 v5.3.0, 0.17 v5.2.0, 0.38 v5.1.0, 0.29 v5.0.0, 0.14 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, 0.11 v2.7.0, 0.00 v2.3.0
% 4.70/4.79 % Syntax : Number of clauses : 9 ( 7 unt; 0 nHn; 3 RR)
% 4.70/4.79 % Number of literals : 12 ( 1 equ; 4 neg)
% 4.70/4.79 % Maximal clause size : 3 ( 1 avg)
% 4.70/4.79 % Maximal term depth : 4 ( 2 avg)
% 4.70/4.79 % Number of predicates : 3 ( 2 usr; 0 prp; 1-2 aty)
% 4.70/4.79 % Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% 4.70/4.79 % Number of variables : 16 ( 1 sgn)
% 4.70/4.79 % SPC : CNF_UNS_RFO_SEQ_HRN
% 4.70/4.79
% 4.70/4.79 % Comments :
% 4.70/4.79 %--------------------------------------------------------------------------
% 4.70/4.79 %----Include axioms of propositional logic
% 4.70/4.79 include('Axioms/LCL004-0.ax').
% 4.70/4.79 %--------------------------------------------------------------------------
% 4.70/4.79 cnf(prove_this,negated_conjecture,
% 4.70/4.79 ~ theorem(or(implies(p,q),implies(q,r))) ).
% 4.70/4.79
% 4.70/4.79 %--------------------------------------------------------------------------
% 4.70/4.79 %-------------------------------------------
% 4.70/4.79 % Proof found
% 4.70/4.79 % SZS status Theorem for theBenchmark
% 4.70/4.79 % SZS output start Proof
% 4.70/4.79 %ClaNum:8(EqnAxiom:0)
% 4.70/4.79 %VarNum:28(SingletonVarNum:14)
% 4.70/4.79 %MaxLitNum:3
% 4.70/4.79 %MaxfuncDepth:3
% 4.70/4.79 %SharedTerms:9
% 4.70/4.79 %goalClause: 6
% 4.70/4.79 %singleGoalClaCount:1
% 4.70/4.79 [6]~P2(f2(f2(f1(a3),a4),f2(f1(a4),a5)))
% 4.70/4.79 [2]P1(f2(f1(f2(x21,x21)),x21))
% 4.70/4.79 [1]P1(f2(f1(x11),f2(x12,x11)))
% 4.70/4.79 [3]P1(f2(f1(f2(x31,x32)),f2(x32,x31)))
% 4.70/4.79 [4]P1(f2(f1(f2(x41,f2(x42,x43))),f2(x42,f2(x41,x43))))
% 4.70/4.79 [5]P1(f2(f1(f2(f1(x51),x52)),f2(f1(f2(x53,x51)),f2(x53,x52))))
% 4.70/4.79 [7]~P1(x71)+P2(x71)
% 4.70/4.79 [8]P2(x81)+~P2(x82)+~P2(f2(f1(x82),x81))
% 4.70/4.79 %EqnAxiom
% 4.70/4.79
% 4.70/4.79 %-------------------------------------------
% 4.70/4.80 cnf(10,plain,
% 4.70/4.80 (~P2(x101)+~P2(f2(f1(x101),f2(f2(f1(a3),a4),f2(f1(a4),a5))))),
% 4.70/4.80 inference(scs_inference,[],[6,7,8])).
% 4.70/4.80 cnf(11,plain,
% 4.70/4.80 (P2(f2(f1(x111),f2(x112,x111)))),
% 4.70/4.80 inference(scs_inference,[],[1,7])).
% 4.70/4.80 cnf(12,plain,
% 4.70/4.80 (~P2(f2(f1(a4),a5))),
% 4.70/4.80 inference(scs_inference,[],[6,1,7,8])).
% 4.70/4.80 cnf(17,plain,
% 4.70/4.80 (P2(f2(f1(f2(x171,x171)),x171))),
% 4.70/4.80 inference(scs_inference,[],[2,7])).
% 4.70/4.80 cnf(24,plain,
% 4.70/4.80 (P2(f2(x241,f2(f1(f2(x242,x242)),x242)))),
% 4.70/4.80 inference(scs_inference,[],[11,12,17,7,8])).
% 4.70/4.80 cnf(27,plain,
% 4.70/4.80 (P2(f2(f1(f2(x271,x272)),f2(x272,x271)))),
% 4.70/4.80 inference(scs_inference,[],[3,7])).
% 4.70/4.80 cnf(36,plain,
% 4.70/4.80 (P2(f2(f1(f2(x361,f2(x362,x363))),f2(x362,f2(x361,x363))))),
% 4.70/4.80 inference(scs_inference,[],[4,7])).
% 4.70/4.80 cnf(43,plain,
% 4.70/4.80 (P2(f2(f1(f2(f1(x431),x432)),f2(f1(f2(x433,x431)),f2(x433,x432))))),
% 4.70/4.80 inference(scs_inference,[],[5,7])).
% 4.70/4.80 cnf(52,plain,
% 4.70/4.80 (P2(f2(x521,f2(f1(x522),x522)))),
% 4.70/4.80 inference(scs_inference,[],[11,36,8])).
% 4.70/4.80 cnf(70,plain,
% 4.70/4.80 (P2(f2(f1(x701),x701))),
% 4.70/4.80 inference(scs_inference,[],[17,52,8])).
% 4.70/4.80 cnf(86,plain,
% 4.70/4.80 (P2(f2(f1(f2(x861,x861)),f2(x862,x861)))),
% 4.70/4.80 inference(scs_inference,[],[24,36,8])).
% 4.70/4.80 cnf(99,plain,
% 4.70/4.80 (P2(f2(f1(f2(x991,x992)),f2(f1(f2(f1(x992),x993)),f2(x991,x993))))),
% 4.70/4.80 inference(scs_inference,[],[43,36,8])).
% 4.70/4.80 cnf(147,plain,
% 4.70/4.80 (P2(f2(x1471,f1(x1471)))),
% 4.70/4.80 inference(scs_inference,[],[70,27,8])).
% 4.70/4.80 cnf(169,plain,
% 4.70/4.80 (P2(f2(f1(f2(x1691,f2(x1692,x1692))),f2(x1691,f2(x1693,x1692))))),
% 4.70/4.80 inference(scs_inference,[],[86,43,8])).
% 4.70/4.80 cnf(190,plain,
% 4.70/4.80 (P2(f2(f1(f2(f1(f1(x1901)),x1902)),f2(x1901,x1902)))),
% 4.70/4.80 inference(scs_inference,[],[99,147,8])).
% 4.70/4.80 cnf(519,plain,
% 4.70/4.80 (P2(f2(f1(f2(x5191,f2(x5192,x5193))),f2(x5191,f2(x5193,x5192))))),
% 4.70/4.80 inference(scs_inference,[],[27,43,8])).
% 4.70/4.80 cnf(522,plain,
% 4.70/4.80 (~P2(f2(f2(f1(a3),a4),f2(a5,f1(a4))))),
% 4.70/4.80 inference(scs_inference,[],[27,43,8,10])).
% 4.70/4.80 cnf(540,plain,
% 4.70/4.80 (P2(f2(f1(f2(x5401,f2(x5402,x5403))),f2(f2(x5401,x5403),x5402)))),
% 4.70/4.80 inference(scs_inference,[],[36,519,8])).
% 4.70/4.80 cnf(648,plain,
% 4.70/4.80 (P2(f2(f1(f2(f2(x6481,x6482),f2(x6482,x6481))),f2(x6483,f2(x6481,x6482))))),
% 4.70/4.80 inference(scs_inference,[],[169,519,8])).
% 4.70/4.80 cnf(675,plain,
% 4.70/4.80 (P2(f2(x6751,f2(x6752,f1(x6751))))),
% 4.70/4.80 inference(scs_inference,[],[190,11,8])).
% 4.70/4.80 cnf(905,plain,
% 4.70/4.80 (~P2(f2(f1(a3),f2(f2(a5,f1(a4)),a4)))),
% 4.70/4.80 inference(scs_inference,[],[522,540,8])).
% 4.70/4.80 cnf(1218,plain,
% 4.70/4.80 (P2(f2(x12181,f2(x12182,f2(x12183,f1(x12182)))))),
% 4.70/4.80 inference(scs_inference,[],[11,675,8])).
% 4.70/4.80 cnf(1327,plain,
% 4.70/4.80 ($false),
% 4.70/4.80 inference(scs_inference,[],[1218,905,648,8]),
% 4.70/4.80 ['proof']).
% 4.70/4.80 % SZS output end Proof
% 4.70/4.80 % Total time :4.170000s
%------------------------------------------------------------------------------