TSTP Solution File: SYN318+1 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SYN318+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% Computer : n026.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 : Fri Sep 1 01:45:09 EDT 2023
% Result : Theorem 0.19s 0.62s
% 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 : SYN318+1 : TPTP v8.1.2. Released v2.0.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.12/0.34 % Computer : n026.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Sat Aug 26 19:24:48 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.19/0.57 start to proof:theBenchmark
% 0.19/0.61 %-------------------------------------------
% 0.19/0.61 % File :CSE---1.6
% 0.19/0.61 % Problem :theBenchmark
% 0.19/0.61 % Transform :cnf
% 0.19/0.61 % Format :tptp:raw
% 0.19/0.61 % Command :java -jar mcs_scs.jar %d %s
% 0.19/0.61
% 0.19/0.61 % Result :Theorem 0.000000s
% 0.19/0.61 % Output :CNFRefutation 0.000000s
% 0.19/0.61 %-------------------------------------------
% 0.19/0.61 %--------------------------------------------------------------------------
% 0.19/0.61 % File : SYN318+1 : TPTP v8.1.2. Released v2.0.0.
% 0.19/0.61 % Domain : Syntactic
% 0.19/0.61 % Problem : Church problem 46.2 (4)
% 0.19/0.61 % Version : Especial.
% 0.19/0.61 % English :
% 0.19/0.61
% 0.19/0.61 % Refs : [Chu56] Church (1956), Introduction to Mathematical Logic I
% 0.19/0.61 % Source : [Chu56]
% 0.19/0.61 % Names : 46.2 (4) [Chu56]
% 0.19/0.61
% 0.19/0.61 % Status : Theorem
% 0.19/0.61 % Rating : 0.00 v5.5.0, 0.04 v5.4.0, 0.09 v5.3.0, 0.13 v5.2.0, 0.07 v5.0.0, 0.05 v4.1.0, 0.06 v4.0.1, 0.05 v3.7.0, 0.33 v3.5.0, 0.12 v3.4.0, 0.08 v3.3.0, 0.00 v3.2.0, 0.22 v3.1.0, 0.00 v2.5.0, 0.33 v2.4.0, 0.33 v2.2.1, 0.00 v2.1.0
% 0.19/0.61 % Syntax : Number of formulae : 1 ( 0 unt; 0 def)
% 0.19/0.61 % Number of atoms : 6 ( 0 equ)
% 0.19/0.61 % Maximal formula atoms : 6 ( 6 avg)
% 0.19/0.61 % Number of connectives : 5 ( 0 ~; 0 |; 0 &)
% 0.19/0.61 % ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% 0.19/0.61 % Maximal formula depth : 6 ( 6 avg)
% 0.19/0.61 % Maximal term depth : 1 ( 1 avg)
% 0.19/0.61 % Number of predicates : 3 ( 3 usr; 1 prp; 0-1 aty)
% 0.19/0.61 % Number of functors : 0 ( 0 usr; 0 con; --- aty)
% 0.19/0.61 % Number of variables : 3 ( 2 !; 1 ?)
% 0.19/0.61 % SPC : FOF_THM_RFO_NEQ
% 0.19/0.61
% 0.19/0.61 % Comments : The free variable is existentially quantified. Based on CNF.
% 0.19/0.61 %--------------------------------------------------------------------------
% 0.19/0.61 fof(church_46_2_4,conjecture,
% 0.19/0.61 ? [Y] :
% 0.19/0.61 ( ! [X] :
% 0.19/0.61 ( big_f(X)
% 0.19/0.61 => ( big_f(Y)
% 0.19/0.61 => big_g(X) ) )
% 0.19/0.61 => ( p
% 0.19/0.61 => ! [X] :
% 0.19/0.62 ( big_f(X)
% 0.19/0.62 => big_g(Y) ) ) ) ).
% 0.19/0.62
% 0.19/0.62 %--------------------------------------------------------------------------
% 0.19/0.62 %-------------------------------------------
% 0.19/0.62 % Proof found
% 0.19/0.62 % SZS status Theorem for theBenchmark
% 0.19/0.62 % SZS output start Proof
% 0.19/0.62 %ClaNum:4(EqnAxiom:0)
% 0.19/0.62 %VarNum:4(SingletonVarNum:3)
% 0.19/0.62 %MaxLitNum:3
% 0.19/0.62 %MaxfuncDepth:0
% 0.19/0.62 %SharedTerms:4
% 0.19/0.62 %goalClause: 1 2 3 4
% 0.19/0.62 %singleGoalClaCount:3
% 0.19/0.62 [1]P1(a500)
% 0.19/0.62 [2]P2(a1)
% 0.19/0.62 [3]~P3(x31)
% 0.19/0.62 [4]~P2(x41)+P3(x41)+~P2(x42)
% 0.19/0.62 %EqnAxiom
% 0.19/0.62
% 0.19/0.62 %-------------------------------------------
% 0.19/0.62 cnf(5,plain,
% 0.19/0.62 ($false),
% 0.19/0.62 inference(scs_inference,[],[2,3,4]),
% 0.19/0.62 ['proof']).
% 0.19/0.62 % SZS output end Proof
% 0.19/0.62 % Total time :0.000000s
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