TSTP Solution File: LCL186-3 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : LCL186-3 : 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 : n007.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 06:48:19 EDT 2023
% Result : Unsatisfiable 62.81s 62.97s
% Output : CNFRefutation 62.81s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : LCL186-3 : TPTP v8.1.2. Released v2.3.0.
% 0.06/0.12 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.13/0.33 % Computer : n007.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 16:53:55 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.55 start to proof:theBenchmark
% 62.81/62.96 %-------------------------------------------
% 62.81/62.96 % File :CSE---1.6
% 62.81/62.96 % Problem :theBenchmark
% 62.81/62.96 % Transform :cnf
% 62.81/62.96 % Format :tptp:raw
% 62.81/62.96 % Command :java -jar mcs_scs.jar %d %s
% 62.81/62.96
% 62.81/62.96 % Result :Theorem 62.270000s
% 62.81/62.96 % Output :CNFRefutation 62.270000s
% 62.81/62.96 %-------------------------------------------
% 62.81/62.97 %--------------------------------------------------------------------------
% 62.81/62.97 % File : LCL186-3 : TPTP v8.1.2. Released v2.3.0.
% 62.81/62.97 % Domain : Logic Calculi (Propositional)
% 62.81/62.97 % Problem : Principia Mathematica 2.21
% 62.81/62.97 % Version : [WR27] axioms.
% 62.81/62.97 % English :
% 62.81/62.97
% 62.81/62.97 % Refs : [WR27] Whitehead & Russell (1927), Principia Mathematica
% 62.81/62.97 % Source : [WR27]
% 62.81/62.97 % Names : Problem 2.21 [WR27]
% 62.81/62.97
% 62.81/62.97 % Status : Unsatisfiable
% 62.81/62.97 % Rating : 0.00 v7.5.0, 0.10 v7.4.0, 0.22 v7.2.0, 0.25 v7.1.0, 0.29 v7.0.0, 0.14 v6.3.0, 0.17 v6.2.0, 0.00 v6.0.0, 0.33 v5.5.0, 0.25 v5.4.0, 0.20 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
% 62.81/62.97 % Syntax : Number of clauses : 9 ( 7 unt; 0 nHn; 3 RR)
% 62.81/62.97 % Number of literals : 12 ( 1 equ; 4 neg)
% 62.81/62.97 % Maximal clause size : 3 ( 1 avg)
% 62.81/62.97 % Maximal term depth : 4 ( 2 avg)
% 62.81/62.97 % Number of predicates : 3 ( 2 usr; 0 prp; 1-2 aty)
% 62.81/62.97 % Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% 62.81/62.97 % Number of variables : 16 ( 1 sgn)
% 62.81/62.97 % SPC : CNF_UNS_RFO_SEQ_HRN
% 62.81/62.97
% 62.81/62.97 % Comments :
% 62.81/62.97 %--------------------------------------------------------------------------
% 62.81/62.97 %----Include axioms of propositional logic
% 62.81/62.97 include('Axioms/LCL004-0.ax').
% 62.81/62.97 %--------------------------------------------------------------------------
% 62.81/62.97 cnf(prove_this,negated_conjecture,
% 62.81/62.97 ~ theorem(implies(not(p),implies(p,q))) ).
% 62.81/62.97
% 62.81/62.97 %--------------------------------------------------------------------------
% 62.81/62.97 %-------------------------------------------
% 62.81/62.97 % Proof found
% 62.81/62.97 % SZS status Theorem for theBenchmark
% 62.81/62.97 % SZS output start Proof
% 62.81/62.98 %ClaNum:8(EqnAxiom:0)
% 62.81/62.98 %VarNum:28(SingletonVarNum:14)
% 62.81/62.98 %MaxLitNum:3
% 62.81/62.98 %MaxfuncDepth:3
% 62.81/62.98 %SharedTerms:7
% 62.81/62.98 %goalClause: 6
% 62.81/62.98 %singleGoalClaCount:1
% 62.81/62.98 [6]~P2(f2(f1(f1(a3)),f2(f1(a3),a4)))
% 62.81/62.98 [2]P1(f2(f1(f2(x21,x21)),x21))
% 62.81/62.98 [1]P1(f2(f1(x11),f2(x12,x11)))
% 62.81/62.98 [3]P1(f2(f1(f2(x31,x32)),f2(x32,x31)))
% 62.81/62.98 [4]P1(f2(f1(f2(x41,f2(x42,x43))),f2(x42,f2(x41,x43))))
% 62.81/62.98 [5]P1(f2(f1(f2(f1(x51),x52)),f2(f1(f2(x53,x51)),f2(x53,x52))))
% 62.81/62.98 [7]~P1(x71)+P2(x71)
% 62.81/62.98 [8]P2(x81)+~P2(x82)+~P2(f2(f1(x82),x81))
% 62.81/62.98 %EqnAxiom
% 62.81/62.98
% 62.81/62.98 %-------------------------------------------
% 62.81/62.99 cnf(10,plain,
% 62.81/62.99 (~P2(x101)+~P2(f2(f1(x101),f2(f1(f1(a3)),f2(f1(a3),a4))))),
% 62.81/62.99 inference(scs_inference,[],[6,7,8])).
% 62.81/62.99 cnf(11,plain,
% 62.81/62.99 (P2(f2(f1(x111),f2(x112,x111)))),
% 62.81/62.99 inference(scs_inference,[],[1,7])).
% 62.81/62.99 cnf(12,plain,
% 62.81/62.99 (~P2(f2(f1(a3),a4))),
% 62.81/62.99 inference(scs_inference,[],[6,1,7,8])).
% 62.81/62.99 cnf(17,plain,
% 62.81/62.99 (~P2(a4)),
% 62.81/62.99 inference(scs_inference,[],[11,12,8])).
% 62.81/62.99 cnf(27,plain,
% 62.81/62.99 (P2(f2(f1(f2(x271,x272)),f2(x272,x271)))),
% 62.81/62.99 inference(scs_inference,[],[3,7])).
% 62.81/62.99 cnf(39,plain,
% 62.81/62.99 (P2(f2(f1(f2(x391,f2(x392,x393))),f2(x392,f2(x391,x393))))),
% 62.81/62.99 inference(scs_inference,[],[4,11,27,8,7])).
% 62.81/62.99 cnf(45,plain,
% 62.81/62.99 (P2(f2(f1(f2(f1(x451),x452)),f2(f1(f2(x453,x451)),f2(x453,x452))))),
% 62.81/62.99 inference(scs_inference,[],[5,17,11,8,7])).
% 62.81/62.99 cnf(101,plain,
% 62.81/62.99 (P2(f2(f1(f2(x1011,x1012)),f2(f1(f2(f1(x1012),x1013)),f2(x1011,x1013))))),
% 62.81/62.99 inference(scs_inference,[],[39,45,8])).
% 62.81/62.99 cnf(113,plain,
% 62.81/62.99 (~P2(f2(f1(f2(f1(f2(x1131,x1132)),f2(x1132,x1131))),f2(f1(f1(a3)),f2(f1(a3),a4))))),
% 62.81/62.99 inference(scs_inference,[],[3,7,10])).
% 62.81/62.99 cnf(3797,plain,
% 62.81/62.99 ($false),
% 62.81/62.99 inference(scs_inference,[],[11,101,113,8]),
% 62.81/62.99 ['proof']).
% 62.81/62.99 % SZS output end Proof
% 62.81/62.99 % Total time :62.270000s
%------------------------------------------------------------------------------