TSTP Solution File: LCL414+1 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : LCL414+1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% Computer : n020.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 06:49:11 EDT 2023
% Result : Theorem 0.19s 0.60s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LCL414+1 : TPTP v8.1.2. Released v2.5.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.12/0.33 % Computer : n020.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Fri Aug 25 04:25:15 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.19/0.55 start to proof:theBenchmark
% 0.19/0.60 %-------------------------------------------
% 0.19/0.60 % File :CSE---1.6
% 0.19/0.60 % Problem :theBenchmark
% 0.19/0.60 % Transform :cnf
% 0.19/0.60 % Format :tptp:raw
% 0.19/0.60 % Command :java -jar mcs_scs.jar %d %s
% 0.19/0.60
% 0.19/0.60 % Result :Theorem 0.000000s
% 0.19/0.60 % Output :CNFRefutation 0.000000s
% 0.19/0.60 %-------------------------------------------
% 0.19/0.60 %--------------------------------------------------------------------------
% 0.19/0.60 % File : LCL414+1 : TPTP v8.1.2. Released v2.5.0.
% 0.19/0.60 % Domain : Syntactic
% 0.19/0.60 % Problem : Peter Andrews Problem THM147
% 0.19/0.60 % Version : Especial.
% 0.19/0.60 % English :
% 0.19/0.60
% 0.19/0.60 % Refs : [And97] Andrews (1994), Email to G. Sutcliffe
% 0.19/0.60 % Source : [And97]
% 0.19/0.60 % Names : THM147 [And97]
% 0.19/0.60
% 0.19/0.60 % Status : Theorem
% 0.19/0.60 % Rating : 0.20 v8.1.0, 0.29 v7.5.0, 0.19 v7.4.0, 0.06 v7.3.0, 0.00 v7.0.0, 0.07 v6.3.0, 0.15 v6.2.0, 0.09 v6.1.0, 0.24 v6.0.0, 0.50 v5.5.0, 0.25 v5.4.0, 0.26 v5.3.0, 0.30 v5.2.0, 0.14 v5.1.0, 0.21 v5.0.0, 0.15 v4.1.0, 0.17 v4.0.1, 0.26 v4.0.0, 0.25 v3.7.0, 0.00 v3.4.0, 0.33 v3.3.0, 0.00 v2.5.0
% 0.19/0.60 % Syntax : Number of formulae : 1 ( 0 unt; 0 def)
% 0.19/0.60 % Number of atoms : 7 ( 0 equ)
% 0.19/0.60 % Maximal formula atoms : 7 ( 7 avg)
% 0.19/0.60 % Number of connectives : 10 ( 4 ~; 2 |; 4 &)
% 0.19/0.60 % ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% 0.19/0.60 % Maximal formula depth : 8 ( 8 avg)
% 0.19/0.60 % Maximal term depth : 4 ( 2 avg)
% 0.19/0.60 % Number of predicates : 1 ( 1 usr; 0 prp; 1-1 aty)
% 0.19/0.60 % Number of functors : 2 ( 2 usr; 0 con; 1-2 aty)
% 0.19/0.60 % Number of variables : 10 ( 9 !; 1 ?)
% 0.19/0.60 % SPC : FOF_THM_RFO_NEQ
% 0.19/0.60
% 0.19/0.60 % Comments :
% 0.19/0.60 %--------------------------------------------------------------------------
% 0.19/0.60 fof(thm147,conjecture,
% 0.19/0.60 ~ ( ! [P,Q] :
% 0.19/0.60 ( ~ a_truth(implies(P,Q))
% 0.19/0.60 | ~ a_truth(P)
% 0.19/0.60 | a_truth(Q) )
% 0.19/0.60 & ! [P,Q] : a_truth(implies(P,implies(Q,P)))
% 0.19/0.60 & ! [P,Q,R] : a_truth(implies(implies(P,implies(Q,R)),implies(implies(P,Q),implies(P,R))))
% 0.19/0.60 & ! [P,Q] : a_truth(implies(implies(not(P),not(Q)),implies(Q,P)))
% 0.19/0.60 & ? [A] : ~ a_truth(implies(A,A)) ) ).
% 0.19/0.60
% 0.19/0.60 %--------------------------------------------------------------------------
% 0.19/0.60 %-------------------------------------------
% 0.19/0.60 % Proof found
% 0.19/0.60 % SZS status Theorem for theBenchmark
% 0.19/0.60 % SZS output start Proof
% 0.19/0.60 %ClaNum:5(EqnAxiom:0)
% 0.19/0.60 %VarNum:18(SingletonVarNum:9)
% 0.19/0.60 %MaxLitNum:3
% 0.19/0.60 %MaxfuncDepth:3
% 0.19/0.60 %SharedTerms:3
% 0.19/0.60 %goalClause: 1 2 3 4 5
% 0.19/0.60 %singleGoalClaCount:4
% 0.19/0.60 [4]~P1(f1(a2,a2))
% 0.19/0.60 [1]P1(f1(x11,f1(x12,x11)))
% 0.19/0.60 [2]P1(f1(f1(f3(x21),f3(x22)),f1(x22,x21)))
% 0.19/0.60 [3]P1(f1(f1(x31,f1(x32,x33)),f1(f1(x31,x32),f1(x31,x33))))
% 0.19/0.60 [5]P1(x51)+~P1(x52)+~P1(f1(x52,x51))
% 0.19/0.60 %EqnAxiom
% 0.19/0.60
% 0.19/0.60 %-------------------------------------------
% 0.19/0.61 cnf(8,plain,
% 0.19/0.61 (~P1(f1(f1(x81,f1(x82,x81)),f1(a2,a2)))),
% 0.19/0.61 inference(scs_inference,[],[1,4,5])).
% 0.19/0.61 cnf(9,plain,
% 0.19/0.61 ($false),
% 0.19/0.61 inference(scs_inference,[],[3,8,1,5]),
% 0.19/0.61 ['proof']).
% 0.19/0.61 % SZS output end Proof
% 0.19/0.61 % Total time :0.000000s
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