TSTP Solution File: SYN013-1 by PyRes---1.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : SYN013-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n020.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 : 600s
% DateTime : Thu Jul 21 11:24:31 EDT 2022
% Result : Unsatisfiable 24.13s 24.34s
% Output : Refutation 24.13s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named input)
% Comments :
%------------------------------------------------------------------------------
cnf(c_3,negated_conjecture,
k != m,
input ).
cnf(symmetry,axiom,
( X3 != X4
| X4 = X3 ),
eq_axiom ).
cnf(c_2,negated_conjecture,
n != k,
input ).
cnf(c_1,negated_conjecture,
m != n,
input ).
cnf(reflexivity,axiom,
X2 = X2,
eq_axiom ).
cnf(c_14,negated_conjecture,
( X19 = k
| X19 != m
| element(X19,k) ),
input ).
cnf(c7,plain,
( m = k
| element(m,k) ),
inference(resolution,status(thm),[c_14,reflexivity]) ).
cnf(c10,plain,
( element(m,k)
| k = m ),
inference(resolution,status(thm),[c7,symmetry]) ).
cnf(c17,plain,
element(m,k),
inference(resolution,status(thm),[c10,c_3]) ).
cnf(c_13,negated_conjecture,
( X40 = n
| ~ element(X40,n)
| X39 = n
| X39 = X40
| ~ element(X40,X39)
| ~ element(X39,X40) ),
input ).
cnf(c80,plain,
( k = n
| ~ element(k,n)
| m = n
| m = k
| ~ element(k,m) ),
inference(resolution,status(thm),[c_13,c17]) ).
cnf(c_15,negated_conjecture,
( X21 = k
| X21 != n
| element(X21,k) ),
input ).
cnf(c18,plain,
( n = k
| element(n,k) ),
inference(resolution,status(thm),[c_15,reflexivity]) ).
cnf(c22,plain,
element(n,k),
inference(resolution,status(thm),[c18,c_2]) ).
cnf(c_8,negated_conjecture,
( X27 = m
| element(X27,m)
| X26 = m
| X26 = X27
| ~ element(X27,X26)
| ~ element(X26,X27) ),
input ).
cnf(c47,plain,
( k = m
| element(k,m)
| n = m
| n = k
| ~ element(k,n) ),
inference(resolution,status(thm),[c_8,c22]) ).
cnf(c2,plain,
( X28 != X29
| X31 != X30
| ~ element(X28,X31)
| element(X29,X30) ),
eq_axiom ).
cnf(c_11,negated_conjecture,
( X24 = n
| element(X24,n)
| element(X24,g(X24)) ),
input ).
cnf(c28,plain,
( element(X45,n)
| element(X45,g(X45))
| n = X45 ),
inference(resolution,status(thm),[c_11,symmetry]) ).
cnf(c101,plain,
( element(k,n)
| element(k,g(k)) ),
inference(resolution,status(thm),[c28,c_2]) ).
cnf(c109,plain,
( element(k,n)
| k != X100
| g(k) != X99
| element(X100,X99) ),
inference(resolution,status(thm),[c101,c2]) ).
cnf(c_9,negated_conjecture,
( X35 = n
| element(X35,n)
| g(X35) != n ),
input ).
cnf(c_10,negated_conjecture,
( X23 = n
| element(X23,n)
| g(X23) != X23 ),
input ).
cnf(c_12,negated_conjecture,
( X25 = n
| element(X25,n)
| element(g(X25),X25) ),
input ).
cnf(c_16,negated_conjecture,
( X43 = k
| X43 = m
| X43 = n
| ~ element(X43,k) ),
input ).
cnf(c88,plain,
( g(k) = k
| g(k) = m
| g(k) = n
| k = n
| element(k,n) ),
inference(resolution,status(thm),[c_16,c_12]) ).
cnf(c1498,plain,
( g(k) = m
| g(k) = n
| k = n
| element(k,n) ),
inference(resolution,status(thm),[c88,c_10]) ).
cnf(c6944,plain,
( g(k) = m
| k = n
| element(k,n) ),
inference(resolution,status(thm),[c1498,c_9]) ).
cnf(c7110,plain,
( g(k) = m
| element(k,n)
| n = k ),
inference(resolution,status(thm),[c6944,symmetry]) ).
cnf(c7343,plain,
( g(k) = m
| element(k,n) ),
inference(resolution,status(thm),[c7110,c_2]) ).
cnf(c7514,plain,
( element(k,n)
| k != X688
| element(X688,m) ),
inference(resolution,status(thm),[c7343,c109]) ).
cnf(c7594,plain,
( element(k,n)
| element(k,m) ),
inference(resolution,status(thm),[c7514,reflexivity]) ).
cnf(c7602,plain,
( element(k,m)
| k = m
| n = m
| n = k ),
inference(resolution,status(thm),[c7594,c47]) ).
cnf(c10061,plain,
( element(k,m)
| n = m
| n = k ),
inference(resolution,status(thm),[c7602,c_3]) ).
cnf(c10305,plain,
( element(k,m)
| n = m ),
inference(resolution,status(thm),[c10061,c_2]) ).
cnf(c10362,plain,
( element(k,m)
| m = n ),
inference(resolution,status(thm),[c10305,symmetry]) ).
cnf(c10425,plain,
( m = n
| k = n
| ~ element(k,n)
| m = k ),
inference(resolution,status(thm),[c10362,c80]) ).
cnf(c10458,plain,
element(k,m),
inference(resolution,status(thm),[c10362,c_1]) ).
cnf(c_4,negated_conjecture,
( X5 = m
| ~ element(X5,m)
| f(X5) != m ),
input ).
cnf(c10486,plain,
( k != X773
| m != X772
| element(X773,X772) ),
inference(resolution,status(thm),[c10458,c2]) ).
cnf(c10493,plain,
( k != X774
| element(X774,m) ),
inference(resolution,status(thm),[c10486,reflexivity]) ).
cnf(c_6,negated_conjecture,
( X20 = m
| ~ element(X20,m)
| element(X20,f(X20)) ),
input ).
cnf(c10488,plain,
( k = m
| element(k,f(k)) ),
inference(resolution,status(thm),[c10458,c_6]) ).
cnf(c10606,plain,
element(k,f(k)),
inference(resolution,status(thm),[c10488,c_3]) ).
cnf(c10638,plain,
( k != X784
| f(k) != X783
| element(X784,X783) ),
inference(resolution,status(thm),[c10606,c2]) ).
cnf(c_7,negated_conjecture,
( X22 = m
| ~ element(X22,m)
| element(f(X22),X22) ),
input ).
cnf(c10487,plain,
( k = m
| element(f(k),k) ),
inference(resolution,status(thm),[c10458,c_7]) ).
cnf(c10539,plain,
element(f(k),k),
inference(resolution,status(thm),[c10487,c_3]) ).
cnf(c10576,plain,
( f(k) = k
| f(k) = m
| f(k) = n ),
inference(resolution,status(thm),[c10539,c_16]) ).
cnf(c11137,plain,
( f(k) = k
| f(k) = m
| k != X1143
| element(X1143,n) ),
inference(resolution,status(thm),[c10576,c10638]) ).
cnf(c23682,plain,
( f(k) = k
| f(k) = m
| element(k,n) ),
inference(resolution,status(thm),[c11137,reflexivity]) ).
cnf(c23696,plain,
( f(k) = m
| element(k,n)
| k = f(k) ),
inference(resolution,status(thm),[c23682,symmetry]) ).
cnf(c23866,plain,
( f(k) = m
| element(k,n)
| element(f(k),m) ),
inference(resolution,status(thm),[c23696,c10493]) ).
cnf(c_5,negated_conjecture,
( X15 = m
| ~ element(X15,m)
| f(X15) != X15 ),
input ).
cnf(c0,plain,
( X12 != X13
| f(X12) = f(X13) ),
eq_axiom ).
cnf(c23713,plain,
( f(k) = m
| element(k,n)
| f(f(k)) = f(k) ),
inference(resolution,status(thm),[c23682,c0]) ).
cnf(c35382,plain,
( f(k) = m
| element(k,n)
| ~ element(f(k),m) ),
inference(resolution,status(thm),[c23713,c_5]) ).
cnf(c35388,plain,
( f(k) = m
| element(k,n) ),
inference(resolution,status(thm),[c35382,c23866]) ).
cnf(c35432,plain,
( element(k,n)
| k = m
| ~ element(k,m) ),
inference(resolution,status(thm),[c35388,c_4]) ).
cnf(c36038,plain,
( element(k,n)
| k = m ),
inference(resolution,status(thm),[c35432,c10458]) ).
cnf(c36076,plain,
element(k,n),
inference(resolution,status(thm),[c36038,c_3]) ).
cnf(c36120,plain,
( m = n
| k = n
| m = k ),
inference(resolution,status(thm),[c36076,c10425]) ).
cnf(c36231,plain,
( k = n
| m = k ),
inference(resolution,status(thm),[c36120,c_1]) ).
cnf(c36405,plain,
( m = k
| n = k ),
inference(resolution,status(thm),[c36231,symmetry]) ).
cnf(c36627,plain,
m = k,
inference(resolution,status(thm),[c36405,c_2]) ).
cnf(c36687,plain,
k = m,
inference(resolution,status(thm),[c36627,symmetry]) ).
cnf(c36780,plain,
$false,
inference(resolution,status(thm),[c36687,c_3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SYN013-1 : TPTP v8.1.0. Released v1.0.0.
% 0.12/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.14/0.34 % Computer : n020.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Mon Jul 11 17:14:42 EDT 2022
% 0.14/0.34 % CPUTime :
% 24.13/24.34 # Version: 1.3
% 24.13/24.34 # SZS status Unsatisfiable
% 24.13/24.34 # SZS output start CNFRefutation
% See solution above
% 24.13/24.35
% 24.13/24.35 # Initial clauses : 22
% 24.13/24.35 # Processed clauses : 771
% 24.13/24.35 # Factors computed : 85
% 24.13/24.35 # Resolvents computed: 36733
% 24.13/24.35 # Tautologies deleted: 18
% 24.13/24.35 # Forward subsumed : 1902
% 24.13/24.35 # Backward subsumed : 223
% 24.13/24.35 # -------- CPU Time ---------
% 24.13/24.35 # User time : 23.869 s
% 24.13/24.35 # System time : 0.121 s
% 24.13/24.35 # Total time : 23.990 s
%------------------------------------------------------------------------------