TSTP Solution File: SYN345+1 by CSE---1.6
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SYN345+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/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 01:45:19 EDT 2023
% Result : Theorem 0.18s 0.64s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.14 % Problem : SYN345+1 : TPTP v8.1.2. Released v2.0.0.
% 0.11/0.14 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.12/0.35 % Computer : n026.cluster.edu
% 0.12/0.35 % Model : x86_64 x86_64
% 0.12/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.35 % Memory : 8042.1875MB
% 0.12/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.35 % CPULimit : 300
% 0.12/0.35 % WCLimit : 300
% 0.12/0.35 % DateTime : Sat Aug 26 18:47:03 EDT 2023
% 0.12/0.35 % CPUTime :
% 0.18/0.60 start to proof:theBenchmark
% 0.18/0.64 %-------------------------------------------
% 0.18/0.64 % File :CSE---1.6
% 0.18/0.64 % Problem :theBenchmark
% 0.18/0.64 % Transform :cnf
% 0.18/0.64 % Format :tptp:raw
% 0.18/0.64 % Command :java -jar mcs_scs.jar %d %s
% 0.18/0.64
% 0.18/0.64 % Result :Theorem 0.000000s
% 0.18/0.64 % Output :CNFRefutation 0.000000s
% 0.18/0.64 %-------------------------------------------
% 0.18/0.64 %--------------------------------------------------------------------------
% 0.18/0.64 % File : SYN345+1 : TPTP v8.1.2. Released v2.0.0.
% 0.18/0.64 % Domain : Syntactic
% 0.18/0.64 % Problem : Church problem 46.16 (4)
% 0.18/0.64 % Version : Especial.
% 0.18/0.64 % English :
% 0.18/0.64
% 0.18/0.64 % Refs : [Chu56] Church (1956), Introduction to Mathematical Logic I
% 0.18/0.64 % Source : [Chu56]
% 0.18/0.64 % Names : 46.16 (4) [Chu56]
% 0.18/0.64
% 0.18/0.64 % Status : Theorem
% 0.18/0.64 % Rating : 0.00 v6.3.0, 0.08 v6.2.0, 0.00 v5.5.0, 0.08 v5.4.0, 0.04 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
% 0.18/0.64 % Syntax : Number of formulae : 1 ( 0 unt; 0 def)
% 0.18/0.64 % Number of atoms : 12 ( 0 equ)
% 0.18/0.64 % Maximal formula atoms : 12 ( 12 avg)
% 0.18/0.64 % Number of connectives : 11 ( 0 ~; 0 |; 1 &)
% 0.18/0.64 % ( 1 <=>; 9 =>; 0 <=; 0 <~>)
% 0.18/0.64 % Maximal formula depth : 11 ( 11 avg)
% 0.18/0.64 % Maximal term depth : 1 ( 1 avg)
% 0.18/0.64 % Number of predicates : 1 ( 1 usr; 0 prp; 3-3 aty)
% 0.18/0.64 % Number of functors : 0 ( 0 usr; 0 con; --- aty)
% 0.18/0.64 % Number of variables : 5 ( 3 !; 2 ?)
% 0.18/0.64 % SPC : FOF_THM_RFO_NEQ
% 0.18/0.64
% 0.18/0.64 % Comments :
% 0.18/0.64 %--------------------------------------------------------------------------
% 0.18/0.64 fof(church_46_16_4,conjecture,
% 0.18/0.64 ! [X1,X2] :
% 0.18/0.64 ? [Y1,Y2] :
% 0.18/0.64 ! [Z] :
% 0.18/0.64 ( ( ( big_f(X1,X2,Y1)
% 0.18/0.64 => big_f(Y2,Y1,Z) )
% 0.18/0.64 => ( big_f(X1,X1,X2)
% 0.18/0.64 => big_f(X1,X2,X2) ) )
% 0.18/0.64 => ( ( ( big_f(X2,Y1,Y2)
% 0.18/0.64 => big_f(Y1,Z,Z) )
% 0.18/0.64 => ( big_f(X1,X2,X2)
% 0.18/0.64 => big_f(X1,X1,X2) ) )
% 0.18/0.64 => ( big_f(Y1,Y2,Z)
% 0.18/0.64 => ( big_f(X2,X2,Y1)
% 0.18/0.64 & ( big_f(X1,X1,X2)
% 0.18/0.64 <=> big_f(X1,X2,X2) ) ) ) ) ) ).
% 0.18/0.64
% 0.18/0.64 %--------------------------------------------------------------------------
% 0.18/0.64 %-------------------------------------------
% 0.18/0.64 % Proof found
% 0.18/0.64 % SZS status Theorem for theBenchmark
% 0.18/0.64 % SZS output start Proof
% 0.18/0.65 %ClaNum:7(EqnAxiom:0)
% 0.18/0.65 %VarNum:14(SingletonVarNum:9)
% 0.18/0.65 %MaxLitNum:3
% 0.18/0.65 %MaxfuncDepth:1
% 0.18/0.65 %SharedTerms:6
% 0.18/0.65 %goalClause: 1 2 3 4 5 7
% 0.18/0.65 %singleGoalClaCount:1
% 0.18/0.65 [1]P1(x11,x12,f1(x11,x12))
% 0.18/0.65 [2]P1(a2,a3,x21)+P1(a2,a3,a3)+~P1(a2,a2,a3)
% 0.18/0.65 [3]P1(a2,a3,a3)+~P1(a3,a3,x31)+P1(a2,a2,a3)
% 0.18/0.65 [5]~P1(a2,a2,a3)+~P1(a2,a3,a3)+~P1(a3,a3,x51)
% 0.18/0.65 [4]P1(a3,x41,x42)+P1(a2,a2,a3)+~P1(a2,a3,a3)
% 0.18/0.65 [7]P1(a2,a2,a3)+~P1(a2,a3,a3)+~P1(x71,f1(x71,x72),f1(x71,x72))
% 0.18/0.65 %EqnAxiom
% 0.18/0.65
% 0.18/0.65 %-------------------------------------------
% 0.18/0.65 cnf(8,plain,
% 0.18/0.65 (P1(a2,a2,a3)+P1(a2,a3,a3)),
% 0.18/0.65 inference(scs_inference,[],[1,3])).
% 0.18/0.65 cnf(9,plain,
% 0.18/0.65 (~P1(a2,a3,a3)+~P1(a2,a2,a3)),
% 0.18/0.65 inference(scs_inference,[],[1,5])).
% 0.18/0.65 cnf(11,plain,
% 0.18/0.65 (~P1(a2,a2,a3)),
% 0.18/0.65 inference(scs_inference,[],[2,9])).
% 0.18/0.65 cnf(12,plain,
% 0.18/0.65 (~P1(a2,a3,a3)+P1(a3,x121,x122)),
% 0.18/0.65 inference(scs_inference,[],[11,4])).
% 0.18/0.65 cnf(13,plain,
% 0.18/0.65 (~P1(a2,a3,a3)+~P1(x131,f1(x131,x132),f1(x131,x132))),
% 0.18/0.65 inference(scs_inference,[],[11,7])).
% 0.18/0.65 cnf(14,plain,
% 0.18/0.65 (P1(a2,a3,a3)),
% 0.18/0.65 inference(scs_inference,[],[11,8])).
% 0.18/0.65 cnf(16,plain,
% 0.18/0.65 ($false),
% 0.18/0.65 inference(scs_inference,[],[14,12,13]),
% 0.18/0.65 ['proof']).
% 0.18/0.65 % SZS output end Proof
% 0.18/0.65 % Total time :0.000000s
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