TSTP Solution File: LCL231-3 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : LCL231-3 : 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 : 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 06:48:36 EDT 2023
% Result : Unsatisfiable 104.69s 104.69s
% Output : CNFRefutation 104.69s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : LCL231-3 : TPTP v8.1.2. Released v2.3.0.
% 0.11/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.13/0.34 % Computer : n007.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 04:44:40 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.21/0.56 start to proof:theBenchmark
% 104.69/104.68 %-------------------------------------------
% 104.69/104.68 % File :CSE---1.6
% 104.69/104.68 % Problem :theBenchmark
% 104.69/104.68 % Transform :cnf
% 104.69/104.68 % Format :tptp:raw
% 104.69/104.68 % Command :java -jar mcs_scs.jar %d %s
% 104.69/104.68
% 104.69/104.68 % Result :Theorem 104.080000s
% 104.69/104.68 % Output :CNFRefutation 104.080000s
% 104.69/104.68 %-------------------------------------------
% 104.69/104.69 %--------------------------------------------------------------------------
% 104.69/104.69 % File : LCL231-3 : TPTP v8.1.2. Released v2.3.0.
% 104.69/104.69 % Domain : Logic Calculi (Propositional)
% 104.69/104.69 % Problem : Principia Mathematica 2.86
% 104.69/104.69 % Version : [WR27] axioms.
% 104.69/104.69 % English :
% 104.69/104.69
% 104.69/104.69 % Refs : [WR27] Whitehead & Russell (1927), Principia Mathematica
% 104.69/104.69 % Source : [WR27]
% 104.69/104.69 % Names : Problem 2.86 [WR27]
% 104.69/104.69
% 104.69/104.69 % Status : Unsatisfiable
% 104.69/104.69 % Rating : 0.25 v8.1.0, 0.22 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 v6.3.0, 0.33 v6.2.0, 0.00 v6.1.0, 0.40 v6.0.0, 0.67 v5.5.0, 0.81 v5.4.0, 0.80 v5.3.0, 0.92 v5.2.0, 0.62 v5.1.0, 0.57 v4.1.0, 0.67 v4.0.1, 0.50 v4.0.0, 0.67 v3.5.0, 0.50 v3.3.0, 0.57 v3.1.0, 0.67 v2.7.0, 0.50 v2.6.0, 0.57 v2.5.0, 0.40 v2.4.0, 0.67 v2.3.0
% 104.69/104.69 % Syntax : Number of clauses : 9 ( 7 unt; 0 nHn; 3 RR)
% 104.69/104.69 % Number of literals : 12 ( 1 equ; 4 neg)
% 104.69/104.69 % Maximal clause size : 3 ( 1 avg)
% 104.69/104.69 % Maximal term depth : 4 ( 2 avg)
% 104.69/104.69 % Number of predicates : 3 ( 2 usr; 0 prp; 1-2 aty)
% 104.69/104.69 % Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% 104.69/104.69 % Number of variables : 16 ( 1 sgn)
% 104.69/104.69 % SPC : CNF_UNS_RFO_SEQ_HRN
% 104.69/104.69
% 104.69/104.69 % Comments :
% 104.69/104.69 %--------------------------------------------------------------------------
% 104.69/104.69 %----Include axioms of propositional logic
% 104.69/104.69 include('Axioms/LCL004-0.ax').
% 104.69/104.69 %--------------------------------------------------------------------------
% 104.69/104.69 cnf(prove_this,negated_conjecture,
% 104.69/104.69 ~ theorem(implies(implies(implies(p,q),implies(p,r)),implies(p,implies(q,r)))) ).
% 104.69/104.69
% 104.69/104.69 %--------------------------------------------------------------------------
% 104.69/104.69 %-------------------------------------------
% 104.69/104.69 % Proof found
% 104.69/104.69 % SZS status Theorem for theBenchmark
% 104.69/104.69 % SZS output start Proof
% 104.69/104.70 %ClaNum:8(EqnAxiom:0)
% 104.69/104.70 %VarNum:28(SingletonVarNum:14)
% 104.69/104.70 %MaxLitNum:3
% 104.69/104.70 %MaxfuncDepth:4
% 104.69/104.70 %SharedTerms:14
% 104.69/104.70 %goalClause: 6
% 104.69/104.70 %singleGoalClaCount:1
% 104.69/104.70 [6]~P2(f2(f1(f2(f1(f2(f1(a3),a4)),f2(f1(a3),a5))),f2(f1(a3),f2(f1(a4),a5))))
% 104.69/104.70 [2]P1(f2(f1(f2(x21,x21)),x21))
% 104.69/104.70 [1]P1(f2(f1(x11),f2(x12,x11)))
% 104.69/104.70 [3]P1(f2(f1(f2(x31,x32)),f2(x32,x31)))
% 104.69/104.70 [4]P1(f2(f1(f2(x41,f2(x42,x43))),f2(x42,f2(x41,x43))))
% 104.69/104.70 [5]P1(f2(f1(f2(f1(x51),x52)),f2(f1(f2(x53,x51)),f2(x53,x52))))
% 104.69/104.70 [7]~P1(x71)+P2(x71)
% 104.69/104.70 [8]P2(x81)+~P2(x82)+~P2(f2(f1(x82),x81))
% 104.69/104.70 %EqnAxiom
% 104.69/104.70
% 104.69/104.70 %-------------------------------------------
% 104.69/104.72 cnf(10,plain,
% 104.69/104.72 (P2(f2(f1(x101),f2(x102,x101)))),
% 104.69/104.72 inference(scs_inference,[],[1,7])).
% 104.69/104.72 cnf(34,plain,
% 104.69/104.72 (P2(f2(f1(f2(x341,f2(x342,x343))),f2(x342,f2(x341,x343))))),
% 104.69/104.72 inference(scs_inference,[],[4,7])).
% 104.69/104.72 cnf(44,plain,
% 104.69/104.72 (P2(f2(f1(f2(f1(x441),x442)),f2(f1(f2(x443,x441)),f2(x443,x442))))),
% 104.69/104.72 inference(scs_inference,[],[5,7])).
% 104.69/104.72 cnf(1871,plain,
% 104.69/104.72 (P2(f2(f1(f2(x18711,x18712)),f2(f1(f2(f1(x18712),x18713)),f2(x18711,x18713))))),
% 104.69/104.72 inference(scs_inference,[],[34,44,8])).
% 104.69/104.72 cnf(5264,plain,
% 104.69/104.72 (P2(f2(f1(f2(x52641,f2(x52642,f2(x52643,x52644)))),f2(x52641,f2(x52643,f2(x52642,x52644)))))),
% 104.69/104.72 inference(scs_inference,[],[44,34,8])).
% 104.69/104.72 cnf(5281,plain,
% 104.69/104.72 (~P2(f2(f1(f2(f1(f2(f1(a3),a4)),f2(f1(a3),a5))),f2(f1(a4),f2(f1(a3),a5))))),
% 104.69/104.72 inference(scs_inference,[],[6,5264,8])).
% 104.69/104.72 cnf(5436,plain,
% 104.69/104.72 ($false),
% 104.69/104.72 inference(scs_inference,[],[10,1871,5281,8]),
% 104.69/104.72 ['proof']).
% 104.69/104.72 % SZS output end Proof
% 104.69/104.72 % Total time :104.080000s
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