%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : SYN071+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n015.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 : Thu May 9 17:47:17 EDT 2024
% Result : Theorem 0.41s 0.61s
% Output : Refutation 0.41s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 5
% Syntax : Number of formulae : 31 ( 8 unt; 0 def)
% Number of atoms : 59 ( 58 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 40 ( 12 ~; 27 |; 1 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 9 ( 0 sgn 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(pel48,conjecture,
( a = d
| b = c ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel48) ).
fof(c0,negated_conjecture,
~ ( a = d
| b = c ),
inference(assume_negation,[status(cth)],[pel48]) ).
fof(c1,negated_conjecture,
( a != d
& b != c ),
inference(fof_nnf,[status(thm)],[c0]) ).
cnf(c3,negated_conjecture,
b != c,
inference(split_conjunct,[status(thm)],[c1]) ).
cnf(symmetry,axiom,
( X3 != X4
| X4 = X3 ),
theory(equality) ).
cnf(transitivity,axiom,
( X7 != X8
| X8 != X6
| X7 = X6 ),
theory(equality) ).
cnf(c2,negated_conjecture,
a != d,
inference(split_conjunct,[status(thm)],[c1]) ).
fof(pel48_2,axiom,
( a = c
| b = d ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel48_2) ).
cnf(c4,plain,
( a = c
| b = d ),
inference(split_conjunct,[status(thm)],[pel48_2]) ).
cnf(c9,plain,
( b = d
| c = a ),
inference(resolution,[status(thm)],[c4,symmetry]) ).
cnf(c20,plain,
( b = d
| X17 != c
| X17 = a ),
inference(resolution,[status(thm)],[c9,transitivity]) ).
cnf(c10,plain,
( b = d
| X12 != a
| X12 = c ),
inference(resolution,[status(thm)],[c4,transitivity]) ).
fof(pel48_1,axiom,
( a = b
| c = d ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel48_1) ).
cnf(c5,plain,
( a = b
| c = d ),
inference(split_conjunct,[status(thm)],[pel48_1]) ).
cnf(c13,plain,
( c = d
| b = a ),
inference(resolution,[status(thm)],[c5,symmetry]) ).
cnf(c31,plain,
( c = d
| b = d
| b = c ),
inference(resolution,[status(thm)],[c13,c10]) ).
cnf(c102,plain,
( c = d
| b = d ),
inference(resolution,[status(thm)],[c31,c3]) ).
cnf(c108,plain,
( b = d
| d = c ),
inference(resolution,[status(thm)],[c102,symmetry]) ).
cnf(c121,plain,
( b = d
| d = a ),
inference(resolution,[status(thm)],[c108,c20]) ).
cnf(c154,plain,
( b = d
| a = d ),
inference(resolution,[status(thm)],[c121,symmetry]) ).
cnf(c194,plain,
b = d,
inference(resolution,[status(thm)],[c154,c2]) ).
cnf(c196,plain,
d = b,
inference(resolution,[status(thm)],[c194,symmetry]) ).
cnf(c201,plain,
( X27 != d
| X27 = b ),
inference(resolution,[status(thm)],[c196,transitivity]) ).
cnf(c30,plain,
( c = d
| X21 != b
| X21 = a ),
inference(resolution,[status(thm)],[c13,transitivity]) ).
cnf(c111,plain,
( c = d
| d = b ),
inference(resolution,[status(thm)],[c102,symmetry]) ).
cnf(c129,plain,
( c = d
| d = a ),
inference(resolution,[status(thm)],[c111,c30]) ).
cnf(c164,plain,
( c = d
| a = d ),
inference(resolution,[status(thm)],[c129,symmetry]) ).
cnf(c248,plain,
c = d,
inference(resolution,[status(thm)],[c164,c2]) ).
cnf(c249,plain,
c = b,
inference(resolution,[status(thm)],[c248,c201]) ).
cnf(c253,plain,
b = c,
inference(resolution,[status(thm)],[c249,symmetry]) ).
cnf(c260,plain,
$false,
inference(resolution,[status(thm)],[c253,c3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SYN071+1 : TPTP v8.1.2. Released v2.0.0.
% 0.03/0.12 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.33 % Computer : n015.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Wed May 8 19:56:23 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.41/0.61 % Version: 1.5
% 0.41/0.61 % SZS status Theorem
% 0.41/0.61 % SZS output start CNFRefutation
% See solution above
% 0.41/0.61
% 0.41/0.61 % Initial clauses : 7
% 0.41/0.61 % Processed clauses : 47
% 0.41/0.61 % Factors computed : 1
% 0.41/0.61 % Resolvents computed: 258
% 0.41/0.61 % Tautologies deleted: 2
% 0.41/0.61 % Forward subsumed : 49
% 0.41/0.61 % Backward subsumed : 31
% 0.41/0.61 % -------- CPU Time ---------
% 0.41/0.61 % User time : 0.254 s
% 0.41/0.61 % System time : 0.019 s
% 0.41/0.61 % Total time : 0.273 s
%------------------------------------------------------------------------------