TSTP Solution File: SYN350+1 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SYN350+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 : n023.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 01:45:21 EDT 2023
% Result : Theorem 0.54s 0.64s
% Output : CNFRefutation 0.54s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYN350+1 : TPTP v8.1.2. Released v2.0.0.
% 0.07/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.13/0.34 % Computer : n023.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 : Sat Aug 26 17:09:26 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.45/0.58 start to proof:theBenchmark
% 0.45/0.63 %-------------------------------------------
% 0.45/0.63 % File :CSE---1.6
% 0.45/0.63 % Problem :theBenchmark
% 0.45/0.63 % Transform :cnf
% 0.45/0.63 % Format :tptp:raw
% 0.45/0.63 % Command :java -jar mcs_scs.jar %d %s
% 0.45/0.63
% 0.45/0.63 % Result :Theorem 0.000000s
% 0.45/0.63 % Output :CNFRefutation 0.000000s
% 0.45/0.63 %-------------------------------------------
% 0.45/0.63 %--------------------------------------------------------------------------
% 0.45/0.63 % File : SYN350+1 : TPTP v8.1.2. Released v2.0.0.
% 0.45/0.63 % Domain : Syntactic
% 0.45/0.63 % Problem : Church problem 46.18 (2)
% 0.45/0.63 % Version : Especial.
% 0.45/0.63 % English :
% 0.45/0.63
% 0.45/0.63 % Refs : [Chu56] Church (1956), Introduction to Mathematical Logic I
% 0.45/0.63 % Source : [Chu56]
% 0.45/0.63 % Names : 46.18 (2) [Chu56]
% 0.45/0.63
% 0.54/0.63 % Status : Theorem
% 0.54/0.63 % Rating : 0.00 v5.5.0, 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 v4.0.0, 0.10 v3.7.0, 0.33 v3.5.0, 0.12 v3.4.0, 0.08 v3.3.0, 0.11 v3.2.0, 0.33 v3.1.0, 0.17 v2.7.0, 0.00 v2.5.0, 0.33 v2.4.0, 0.33 v2.2.1, 0.00 v2.1.0
% 0.54/0.63 % Syntax : Number of formulae : 1 ( 0 unt; 0 def)
% 0.54/0.63 % Number of atoms : 6 ( 0 equ)
% 0.54/0.63 % Maximal formula atoms : 6 ( 6 avg)
% 0.54/0.63 % Number of connectives : 5 ( 0 ~; 0 |; 1 &)
% 0.54/0.63 % ( 2 <=>; 2 =>; 0 <=; 0 <~>)
% 0.54/0.63 % Maximal formula depth : 9 ( 9 avg)
% 0.54/0.63 % Maximal term depth : 1 ( 1 avg)
% 0.54/0.63 % Number of predicates : 1 ( 1 usr; 0 prp; 2-2 aty)
% 0.54/0.63 % Number of functors : 0 ( 0 usr; 0 con; --- aty)
% 0.54/0.63 % Number of variables : 4 ( 2 !; 2 ?)
% 0.54/0.63 % SPC : FOF_THM_RFO_NEQ
% 0.54/0.63
% 0.54/0.63 % Comments :
% 0.54/0.63 %--------------------------------------------------------------------------
% 0.54/0.63 fof(church_46_18_2,conjecture,
% 0.54/0.63 ! [X] :
% 0.54/0.63 ? [Y1,Y2] :
% 0.54/0.63 ! [Z] :
% 0.54/0.63 ( ( big_f(X,Z)
% 0.54/0.63 <=> big_f(Z,X) )
% 0.54/0.63 => ( big_f(X,Z)
% 0.54/0.64 <=> ( big_f(Y2,Z)
% 0.54/0.64 & ( big_f(Y1,Z)
% 0.54/0.64 => big_f(Y1,Y2) ) ) ) ) ).
% 0.54/0.64
% 0.54/0.64 %--------------------------------------------------------------------------
% 0.54/0.64 %-------------------------------------------
% 0.54/0.64 % Proof found
% 0.54/0.64 % SZS status Theorem for theBenchmark
% 0.54/0.64 % SZS output start Proof
% 0.54/0.64 %ClaNum:6(EqnAxiom:0)
% 0.54/0.64 %VarNum:35(SingletonVarNum:12)
% 0.54/0.64 %MaxLitNum:3
% 0.54/0.64 %MaxfuncDepth:1
% 0.54/0.64 %SharedTerms:1
% 0.54/0.64 %goalClause: 1 2 3 4 5 6
% 0.54/0.64 [1]P1(x11,f1(x12,x11))+P1(a2,f1(x12,x11))
% 0.54/0.64 [2]P1(a2,f1(x21,x22))+~P1(f1(x21,x22),a2)
% 0.54/0.64 [3]P1(f1(x31,x32),a2)+~P1(a2,f1(x31,x32))
% 0.54/0.64 [4]P1(x41,x42)+~P1(x41,f1(x41,x42))+P1(a2,f1(x41,x42))
% 0.54/0.64 [5]~P1(x51,x52)+~P1(x52,f1(x51,x52))+~P1(a2,f1(x51,x52))
% 0.54/0.64 [6]P1(x61,f1(x61,x62))+~P1(x62,f1(x61,x62))+~P1(a2,f1(x61,x62))
% 0.54/0.64 %EqnAxiom
% 0.54/0.64
% 0.54/0.64 %-------------------------------------------
% 0.54/0.64 cnf(7,plain,
% 0.54/0.64 (P1(x71,x71)+P1(a2,f1(x71,x71))),
% 0.54/0.64 inference(scs_inference,[],[1,4])).
% 0.54/0.64 cnf(12,plain,
% 0.54/0.64 (P1(x121,x121)+P1(f1(x121,x121),a2)),
% 0.54/0.64 inference(scs_inference,[],[7,3])).
% 0.54/0.64 cnf(13,plain,
% 0.54/0.64 (P1(x131,x131)+~P1(a2,f1(f1(x131,x131),a2))),
% 0.54/0.64 inference(scs_inference,[],[12,5])).
% 0.54/0.64 cnf(14,plain,
% 0.54/0.64 (~P1(x141,f1(x141,x141))+~P1(a2,f1(f1(x141,x141),a2))+~P1(a2,f1(x141,x141))),
% 0.54/0.64 inference(scs_inference,[],[13,5])).
% 0.54/0.64 cnf(15,plain,
% 0.54/0.64 (~P1(a2,f1(f1(a2,a2),a2))),
% 0.54/0.64 inference(scs_inference,[],[14,1])).
% 0.54/0.64 cnf(18,plain,
% 0.54/0.64 ($false),
% 0.54/0.64 inference(scs_inference,[],[15,2,1]),
% 0.54/0.64 ['proof']).
% 0.54/0.64 % SZS output end Proof
% 0.54/0.64 % Total time :0.000000s
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