%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : NUM846+2 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n016.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 17:36:49 EDT 2024
% Result : Theorem 72.50s 72.69s
% Output : Refutation 72.50s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of formulae : 11 ( 9 unt; 0 def)
% Number of atoms : 14 ( 13 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 9 ( 6 ~; 3 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 9 ( 0 sgn 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof('holds(286, 441, 2)',conjecture,
vplus(vmul(vd436,vplus(vd437,vd439)),vd436) = vplus(vplus(vmul(vd436,vd437),vmul(vd436,vd439)),vd436),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(286, 441, 2)') ).
fof(c52,negated_conjecture,
vplus(vmul(vd436,vplus(vd437,vd439)),vd436) != vplus(vplus(vmul(vd436,vd437),vmul(vd436,vd439)),vd436),
inference(assume_negation,[status(cth)],['holds(286, 441, 2)']) ).
fof(c53,negated_conjecture,
vplus(vmul(vd436,vplus(vd437,vd439)),vd436) != vplus(vplus(vmul(vd436,vd437),vmul(vd436,vd439)),vd436),
inference(fof_simplification,[status(thm)],[c52]) ).
cnf(c54,negated_conjecture,
vplus(vmul(vd436,vplus(vd437,vd439)),vd436) != vplus(vplus(vmul(vd436,vd437),vmul(vd436,vd439)),vd436),
inference(split_conjunct,[status(thm)],[c53]) ).
fof('holds(285, 440, 0)',axiom,
vmul(vd436,vplus(vd437,vd439)) = vplus(vmul(vd436,vd437),vmul(vd436,vd439)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(285, 440, 0)') ).
cnf(c49,plain,
vmul(vd436,vplus(vd437,vd439)) = vplus(vmul(vd436,vd437),vmul(vd436,vd439)),
inference(split_conjunct,[status(thm)],['holds(285, 440, 0)']) ).
cnf(reflexivity,axiom,
X28 = X28,
theory(equality) ).
cnf(c0,axiom,
( X43 != X45
| X46 != X44
| vplus(X43,X46) = vplus(X45,X44) ),
theory(equality) ).
cnf(c68,plain,
( X223 != X221
| vplus(X223,X222) = vplus(X221,X222) ),
inference(resolution,[status(thm)],[c0,reflexivity]) ).
cnf(c755,plain,
vplus(vmul(vd436,vplus(vd437,vd439)),X4165) = vplus(vplus(vmul(vd436,vd437),vmul(vd436,vd439)),X4165),
inference(resolution,[status(thm)],[c68,c49]) ).
cnf(c116659,plain,
$false,
inference(resolution,[status(thm)],[c755,c54]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : NUM846+2 : TPTP v8.1.2. Released v4.1.0.
% 0.04/0.14 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.14/0.35 % Computer : n016.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Wed May 8 15:59:23 EDT 2024
% 0.14/0.35 % CPUTime :
% 72.50/72.69 % Version: 1.5
% 72.50/72.69 % SZS status Theorem
% 72.50/72.69 % SZS output start CNFRefutation
% See solution above
% 72.50/72.69
% 72.50/72.69 % Initial clauses : 34
% 72.50/72.69 % Processed clauses : 1001
% 72.50/72.69 % Factors computed : 7
% 72.50/72.69 % Resolvents computed: 116676
% 72.50/72.69 % Tautologies deleted: 2
% 72.50/72.69 % Forward subsumed : 2105
% 72.50/72.69 % Backward subsumed : 46
% 72.50/72.69 % -------- CPU Time ---------
% 72.50/72.69 % User time : 72.055 s
% 72.50/72.69 % System time : 0.259 s
% 72.50/72.69 % Total time : 72.314 s
%------------------------------------------------------------------------------