TSTP Solution File: SYN331+1 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SYN331+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 : n022.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 01:45:14 EDT 2023
% Result : Theorem 120.44s 121.56s
% Output : CNFRefutation 120.61s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYN331+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
% 0.12/0.34 % Computer : n022.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 18:44:55 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.19/0.58 start to proof:theBenchmark
% 120.44/121.53 %-------------------------------------------
% 120.44/121.53 % File :CSE---1.6
% 120.44/121.53 % Problem :theBenchmark
% 120.44/121.53 % Transform :cnf
% 120.44/121.53 % Format :tptp:raw
% 120.44/121.53 % Command :java -jar mcs_scs.jar %d %s
% 120.44/121.53
% 120.44/121.53 % Result :Theorem 120.000000s
% 120.44/121.53 % Output :CNFRefutation 120.000000s
% 120.44/121.53 %-------------------------------------------
% 120.44/121.55 %--------------------------------------------------------------------------
% 120.44/121.55 % File : SYN331+1 : TPTP v8.1.2. Released v2.0.0.
% 120.44/121.55 % Domain : Syntactic
% 120.44/121.55 % Problem : Church problem 46.14 (3)
% 120.44/121.55 % Version : Especial.
% 120.44/121.55 % English :
% 120.44/121.55
% 120.44/121.55 % Refs : [Chu56] Church (1956), Introduction to Mathematical Logic I
% 120.44/121.55 % Source : [Chu56]
% 120.44/121.55 % Names : 46.14 (3) [Chu56]
% 120.44/121.55
% 120.44/121.55 % Status : Theorem
% 120.44/121.55 % 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, 0.11 v4.0.0, 0.10 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
% 120.44/121.55 % Syntax : Number of formulae : 1 ( 0 unt; 0 def)
% 120.44/121.56 % Number of atoms : 8 ( 0 equ)
% 120.44/121.56 % Maximal formula atoms : 8 ( 8 avg)
% 120.44/121.56 % Number of connectives : 7 ( 0 ~; 2 |; 0 &)
% 120.44/121.56 % ( 1 <=>; 4 =>; 0 <=; 0 <~>)
% 120.44/121.56 % Maximal formula depth : 9 ( 9 avg)
% 120.44/121.56 % Maximal term depth : 1 ( 1 avg)
% 120.44/121.56 % Number of predicates : 1 ( 1 usr; 0 prp; 2-2 aty)
% 120.44/121.56 % Number of functors : 0 ( 0 usr; 0 con; --- aty)
% 120.44/121.56 % Number of variables : 3 ( 1 !; 2 ?)
% 120.44/121.56 % SPC : FOF_THM_RFO_NEQ
% 120.44/121.56
% 120.44/121.56 % Comments :
% 120.44/121.56 %--------------------------------------------------------------------------
% 120.44/121.56 fof(church_46_14_3,conjecture,
% 120.44/121.56 ? [X,Y] :
% 120.44/121.56 ! [Z] :
% 120.44/121.56 ( big_f(X,Z)
% 120.44/121.56 => ( big_f(Y,Z)
% 120.44/121.56 => ( ( big_f(X,Y)
% 120.44/121.56 <=> big_f(Z,Z) )
% 120.44/121.56 => ( ( big_f(Y,X)
% 120.44/121.56 | big_f(Z,Z) )
% 120.44/121.56 => ( big_f(Z,X)
% 120.44/121.56 | big_f(Z,Y) ) ) ) ) ) ).
% 120.44/121.56
% 120.44/121.56 %--------------------------------------------------------------------------
% 120.44/121.56 %-------------------------------------------
% 120.44/121.56 % Proof found
% 120.44/121.56 % SZS status Theorem for theBenchmark
% 120.44/121.56 % SZS output start Proof
% 120.44/121.57 %ClaNum:7(EqnAxiom:0)
% 120.44/121.57 %VarNum:30(SingletonVarNum:14)
% 120.44/121.57 %MaxLitNum:2
% 120.44/121.57 %MaxfuncDepth:1
% 120.44/121.57 %SharedTerms:0
% 120.44/121.57 %goalClause: 1 2 3 4 5 6 7
% 120.44/121.57 %singleGoalClaCount:4
% 120.44/121.57 [1]P1(x11,f1(x12,x11))
% 120.44/121.57 [2]P1(x21,f1(x21,x22))
% 120.44/121.57 [3]~P1(f1(x31,x32),x32)
% 120.44/121.57 [4]~P1(f1(x41,x42),x41)
% 120.44/121.57 [5]P1(x51,x52)+P1(f1(x52,x51),f1(x52,x51))
% 120.44/121.57 [6]~P1(x61,x62)+P1(f1(x61,x62),f1(x61,x62))
% 120.44/121.57 [7]P1(x71,x72)+~P1(f1(x71,x72),f1(x71,x72))
% 120.44/121.57 %EqnAxiom
% 120.44/121.57
% 120.44/121.57 %-------------------------------------------
% 120.61/121.58 cnf(8,plain,
% 120.61/121.58 (P1(f1(f1(f1(x81,x82),x82),f1(f1(x81,x82),x82)),f1(f1(f1(x81,x82),x82),f1(f1(x81,x82),x82)))),
% 120.61/121.58 inference(scs_inference,[],[3,5,7])).
% 120.61/121.58 cnf(13,plain,
% 120.61/121.58 (P1(f1(f1(x131,x132),x132),f1(f1(x131,x132),x132))),
% 120.61/121.58 inference(scs_inference,[],[8,7])).
% 120.61/121.58 cnf(15,plain,
% 120.61/121.58 ($false),
% 120.61/121.58 inference(scs_inference,[],[13,3,7]),
% 120.61/121.58 ['proof']).
% 120.61/121.58 % SZS output end Proof
% 120.61/121.58 % Total time :120.000000s
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