TSTP Solution File: SYN352+1 by CSE---1.6
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SYN352+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 : n027.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 01:45:22 EDT 2023
% Result : Theorem 61.51s 61.66s
% Output : CNFRefutation 61.61s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN352+1 : TPTP v8.1.2. Released v2.0.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.12/0.34 % Computer : n027.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 18:28:05 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.19/0.58 start to proof:theBenchmark
% 61.51/61.65 %-------------------------------------------
% 61.51/61.65 % File :CSE---1.6
% 61.51/61.65 % Problem :theBenchmark
% 61.51/61.65 % Transform :cnf
% 61.51/61.65 % Format :tptp:raw
% 61.51/61.65 % Command :java -jar mcs_scs.jar %d %s
% 61.51/61.65
% 61.51/61.65 % Result :Theorem 61.000000s
% 61.51/61.65 % Output :CNFRefutation 61.000000s
% 61.51/61.65 %-------------------------------------------
% 61.51/61.66 %--------------------------------------------------------------------------
% 61.51/61.66 % File : SYN352+1 : TPTP v8.1.2. Released v2.0.0.
% 61.51/61.66 % Domain : Syntactic
% 61.51/61.66 % Problem : Church problem 46.18 (4)
% 61.51/61.66 % Version : Especial.
% 61.51/61.66 % English :
% 61.51/61.66
% 61.51/61.66 % Refs : [Chu56] Church (1956), Introduction to Mathematical Logic I
% 61.51/61.66 % Source : [Chu56]
% 61.51/61.66 % Names : 46.18 (4) [Chu56]
% 61.51/61.66
% 61.51/61.66 % Status : Theorem
% 61.51/61.66 % Rating : 0.00 v5.5.0, 0.08 v5.4.0, 0.09 v5.3.0, 0.13 v5.2.0, 0.07 v5.0.0, 0.05 v4.1.0, 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
% 61.51/61.66 % Syntax : Number of formulae : 1 ( 0 unt; 0 def)
% 61.51/61.66 % Number of atoms : 11 ( 0 equ)
% 61.51/61.66 % Maximal formula atoms : 11 ( 11 avg)
% 61.51/61.66 % Number of connectives : 10 ( 0 ~; 1 |; 1 &)
% 61.51/61.66 % ( 2 <=>; 6 =>; 0 <=; 0 <~>)
% 61.51/61.66 % Maximal formula depth : 12 ( 12 avg)
% 61.51/61.66 % Maximal term depth : 1 ( 1 avg)
% 61.51/61.66 % Number of predicates : 1 ( 1 usr; 0 prp; 2-2 aty)
% 61.51/61.66 % Number of functors : 0 ( 0 usr; 0 con; --- aty)
% 61.51/61.66 % Number of variables : 5 ( 3 !; 2 ?)
% 61.51/61.66 % SPC : FOF_THM_RFO_NEQ
% 61.51/61.66
% 61.51/61.66 % Comments :
% 61.51/61.66 %--------------------------------------------------------------------------
% 61.51/61.66 fof(church_46_18_4,conjecture,
% 61.51/61.66 ! [X1,X2] :
% 61.51/61.66 ? [Y1,Y2] :
% 61.51/61.66 ! [Z] :
% 61.51/61.66 ( big_f(X1,X2)
% 61.51/61.66 => ( ( big_f(Y1,Y2)
% 61.51/61.66 => ( big_f(X2,Z)
% 61.51/61.66 | big_f(Y2,Z) ) )
% 61.51/61.66 => ( ( ( big_f(Y1,Y2)
% 61.51/61.66 => ( big_f(X2,Z)
% 61.51/61.66 <=> big_f(Y1,Z) ) )
% 61.51/61.66 => big_f(Z,Z) )
% 61.51/61.66 => ( big_f(Y1,Y2)
% 61.51/61.66 & ( big_f(Y1,Z)
% 61.51/61.66 <=> big_f(Y2,Z) ) ) ) ) ) ).
% 61.51/61.66
% 61.51/61.66 %--------------------------------------------------------------------------
% 61.51/61.66 %-------------------------------------------
% 61.51/61.66 % Proof found
% 61.51/61.66 % SZS status Theorem for theBenchmark
% 61.51/61.66 % SZS output start Proof
% 61.61/61.66 %ClaNum:7(EqnAxiom:0)
% 61.61/61.66 %VarNum:47(SingletonVarNum:12)
% 61.61/61.66 %MaxLitNum:3
% 61.61/61.66 %MaxfuncDepth:1
% 61.61/61.66 %SharedTerms:3
% 61.61/61.66 %goalClause: 1 2 3 4 5 6 7
% 61.61/61.66 %singleGoalClaCount:1
% 61.61/61.66 [1]P1(a1,a2)
% 61.61/61.66 [2]P1(x21,x22)+P1(f3(x21,x22),f3(x21,x22))
% 61.61/61.66 [3]~P1(x32,x31)+P1(x31,f3(x32,x31))+P1(a2,f3(x32,x31))
% 61.61/61.66 [4]~P1(x42,x41)+P1(x41,f3(x42,x41))+P1(x42,f3(x42,x41))
% 61.61/61.66 [5]P1(f3(x51,x52),f3(x51,x52))+P1(x51,f3(x51,x52))+P1(a2,f3(x51,x52))
% 61.61/61.66 [6]~P1(x61,x62)+~P1(x62,f3(x61,x62))+~P1(x61,f3(x61,x62))
% 61.61/61.66 [7]P1(f3(x71,x72),f3(x71,x72))+~P1(x71,f3(x71,x72))+~P1(a2,f3(x71,x72))
% 61.61/61.66 %EqnAxiom
% 61.61/61.66
% 61.61/61.66 %-------------------------------------------
% 61.61/61.67 cnf(12,plain,
% 61.61/61.67 (~P1(a1,f3(a1,a2))),
% 61.61/61.67 inference(scs_inference,[],[1,3,6])).
% 61.61/61.67 cnf(25,plain,
% 61.61/61.67 (P1(f3(a1,f3(a1,a2)),f3(f3(a1,f3(a1,a2)),f3(a1,f3(a1,a2))))),
% 61.61/61.67 inference(scs_inference,[],[12,2,4])).
% 61.61/61.67 cnf(27,plain,
% 61.61/61.67 (~P1(f3(a1,f3(a1,a2)),f3(f3(a1,f3(a1,a2)),f3(a1,f3(a1,a2))))),
% 61.61/61.67 inference(scs_inference,[],[12,2,6])).
% 61.61/61.67 cnf(30,plain,
% 61.61/61.67 ($false),
% 61.61/61.67 inference(scs_inference,[],[25,27]),
% 61.61/61.67 ['proof']).
% 61.61/61.67 % SZS output end Proof
% 61.61/61.67 % Total time :61.000000s
%------------------------------------------------------------------------------