TSTP Solution File: SYN349+1 by CSE---1.6
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SYN349+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 : n011.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 0.20s 0.60s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN349+1 : TPTP v8.1.2. Released v2.0.0.
% 0.12/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.13/0.34 % Computer : n011.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 18:51:09 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.20/0.54 start to proof:theBenchmark
% 0.20/0.60 %-------------------------------------------
% 0.20/0.60 % File :CSE---1.6
% 0.20/0.60 % Problem :theBenchmark
% 0.20/0.60 % Transform :cnf
% 0.20/0.60 % Format :tptp:raw
% 0.20/0.60 % Command :java -jar mcs_scs.jar %d %s
% 0.20/0.60
% 0.20/0.60 % Result :Theorem 0.000000s
% 0.20/0.60 % Output :CNFRefutation 0.000000s
% 0.20/0.60 %-------------------------------------------
% 0.20/0.60 %--------------------------------------------------------------------------
% 0.20/0.60 % File : SYN349+1 : TPTP v8.1.2. Released v2.0.0.
% 0.20/0.60 % Domain : Syntactic
% 0.20/0.60 % Problem : Church problem 46.17 (5)
% 0.20/0.60 % Version : Especial.
% 0.20/0.60 % English :
% 0.20/0.60
% 0.20/0.60 % Refs : [Chu56] Church (1956), Introduction to Mathematical Logic I
% 0.20/0.60 % Source : [Chu56]
% 0.20/0.60 % Names : 46.17 (5) [Chu56]
% 0.20/0.60
% 0.20/0.60 % Status : Theorem
% 0.20/0.60 % 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, 0.15 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
% 0.20/0.60 % Syntax : Number of formulae : 1 ( 0 unt; 0 def)
% 0.20/0.60 % Number of atoms : 6 ( 0 equ)
% 0.20/0.60 % Maximal formula atoms : 6 ( 6 avg)
% 0.20/0.60 % Number of connectives : 5 ( 0 ~; 0 |; 0 &)
% 0.20/0.60 % ( 4 <=>; 1 =>; 0 <=; 0 <~>)
% 0.20/0.60 % Maximal formula depth : 9 ( 9 avg)
% 0.20/0.60 % Maximal term depth : 1 ( 1 avg)
% 0.20/0.60 % Number of predicates : 1 ( 1 usr; 0 prp; 2-2 aty)
% 0.20/0.60 % Number of functors : 0 ( 0 usr; 0 con; --- aty)
% 0.20/0.60 % Number of variables : 4 ( 2 !; 2 ?)
% 0.20/0.60 % SPC : FOF_THM_RFO_NEQ
% 0.20/0.60
% 0.20/0.60 % Comments :
% 0.20/0.60 %--------------------------------------------------------------------------
% 0.20/0.60 fof(church_46_17_5,conjecture,
% 0.20/0.60 ? [X1] :
% 0.20/0.60 ! [X2] :
% 0.20/0.60 ? [X3] :
% 0.20/0.60 ! [X4] :
% 0.20/0.60 ( ( big_f(X1,X4)
% 0.20/0.60 <=> big_f(X2,X4) )
% 0.20/0.60 => ( ( ( big_f(X1,X4)
% 0.20/0.60 <=> big_f(X4,X3) )
% 0.20/0.60 <=> big_f(X3,X4) )
% 0.20/0.60 <=> big_f(X4,X2) ) ) ).
% 0.20/0.60
% 0.20/0.60 %--------------------------------------------------------------------------
% 0.20/0.60 %-------------------------------------------
% 0.20/0.60 % Proof found
% 0.20/0.60 % SZS status Theorem for theBenchmark
% 0.20/0.60 % SZS output start Proof
% 0.20/0.61 %ClaNum:10(EqnAxiom:0)
% 0.20/0.61 %VarNum:108(SingletonVarNum:20)
% 0.20/0.61 %MaxLitNum:4
% 0.20/0.61 %MaxfuncDepth:1
% 0.20/0.61 %SharedTerms:0
% 0.20/0.61 %goalClause: 1 2 3 4 5 6 7 8 9 10
% 0.20/0.61 [1]P1(f1(x11),f2(x11,x12))+~P1(x11,f2(x11,x12))
% 0.20/0.61 [2]P1(x21,f2(x21,x22))+~P1(f1(x21),f2(x21,x22))
% 0.20/0.61 [3]P1(x31,f2(x32,x31))+P1(x32,f2(x32,x31))+P1(f2(x32,x31),x31)+P1(f2(x32,x31),f1(x32))
% 0.20/0.61 [4]P1(x41,f2(x42,x41))+P1(f2(x42,x41),f1(x42))+~P1(x42,f2(x42,x41))+~P1(f2(x42,x41),x41)
% 0.20/0.61 [5]P1(x51,f2(x51,x52))+P1(f2(x51,x52),f1(x51))+~P1(x52,f2(x51,x52))+~P1(f2(x51,x52),x52)
% 0.20/0.61 [6]P1(f2(x61,x62),x62)+P1(f2(x61,x62),f1(x61))+~P1(x62,f2(x61,x62))+~P1(x61,f2(x61,x62))
% 0.20/0.61 [7]P1(x71,f2(x72,x71))+P1(x72,f2(x72,x71))+~P1(f2(x72,x71),x71)+~P1(f2(x72,x71),f1(x72))
% 0.20/0.61 [8]P1(x81,f2(x82,x81))+P1(f2(x82,x81),x81)+~P1(x82,f2(x82,x81))+~P1(f2(x82,x81),f1(x82))
% 0.20/0.61 [9]P1(x91,f2(x91,x92))+P1(f2(x91,x92),x92)+~P1(x92,f2(x91,x92))+~P1(f2(x91,x92),f1(x91))
% 0.20/0.61 [10]~P1(x101,f2(x102,x101))+~P1(x102,f2(x102,x101))+~P1(f2(x102,x101),x101)+~P1(f2(x102,x101),f1(x102))
% 0.20/0.61 %EqnAxiom
% 0.20/0.61
% 0.20/0.61 %-------------------------------------------
% 0.20/0.61 cnf(14,plain,
% 0.20/0.61 (P1(f2(x141,f1(x141)),f1(x141))+~P1(x141,f2(x141,f1(x141)))),
% 0.20/0.61 inference(scs_inference,[],[1,6])).
% 0.20/0.61 cnf(15,plain,
% 0.20/0.61 (~P1(f1(x151),f2(x151,f1(x151)))+~P1(x151,f2(x151,f1(x151)))+~P1(f2(x151,f1(x151)),f1(x151))),
% 0.20/0.61 inference(scs_inference,[],[14,10])).
% 0.20/0.61 cnf(16,plain,
% 0.20/0.61 (~P1(f2(x161,f1(x161)),f1(x161))+~P1(x161,f2(x161,f1(x161)))),
% 0.20/0.61 inference(scs_inference,[],[15,1])).
% 0.20/0.61 cnf(17,plain,
% 0.20/0.61 (~P1(x171,f2(x171,f1(x171)))),
% 0.20/0.61 inference(scs_inference,[],[16,14])).
% 0.20/0.61 cnf(21,plain,
% 0.20/0.61 ($false),
% 0.20/0.61 inference(scs_inference,[],[17,2,7,3]),
% 0.20/0.61 ['proof']).
% 0.20/0.61 % SZS output end Proof
% 0.20/0.61 % Total time :0.000000s
%------------------------------------------------------------------------------