%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : NUM853+2 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n022.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 17:36:51 EDT 2024
% Result : Theorem 46.94s 47.14s
% Output : Refutation 46.94s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 7
% Syntax : Number of formulae : 32 ( 11 unt; 0 def)
% Number of atoms : 57 ( 17 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 52 ( 27 ~; 23 |; 0 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 51 ( 0 sgn 34 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof('holds(antec(307), 489, 0)',axiom,
greater(vmul(vd486,vd487),vmul(vd488,vd487)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(antec(307), 489, 0)') ).
cnf(c116,plain,
greater(vmul(vd486,vd487),vmul(vd488,vd487)),
inference(split_conjunct,[status(thm)],['holds(antec(307), 489, 0)']) ).
fof('ass(cond(goal(130), 0), 2)',axiom,
! [Vd203,Vd204] :
( ~ greater(Vd203,Vd204)
| ~ less(Vd203,Vd204) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(goal(130), 0), 2)') ).
fof(c67,plain,
! [Vd203,Vd204] :
( ~ greater(Vd203,Vd204)
| ~ less(Vd203,Vd204) ),
inference(fof_simplification,[status(thm)],['ass(cond(goal(130), 0), 2)']) ).
fof(c68,plain,
! [X50,X51] :
( ~ greater(X50,X51)
| ~ less(X50,X51) ),
inference(variable_rename,[status(thm)],[c67]) ).
cnf(c69,plain,
( ~ greater(X102,X103)
| ~ less(X102,X103) ),
inference(split_conjunct,[status(thm)],[c68]) ).
fof('ass(cond(299, 0), 0)',axiom,
! [Vd456,Vd465,Vd466] :
( less(Vd465,Vd466)
=> less(vmul(Vd465,Vd456),vmul(Vd466,Vd456)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(299, 0), 0)') ).
fof(c113,plain,
! [Vd456,Vd465,Vd466] :
( ~ less(Vd465,Vd466)
| less(vmul(Vd465,Vd456),vmul(Vd466,Vd456)) ),
inference(fof_nnf,[status(thm)],['ass(cond(299, 0), 0)']) ).
fof(c114,plain,
! [X89,X90,X91] :
( ~ less(X90,X91)
| less(vmul(X90,X89),vmul(X91,X89)) ),
inference(variable_rename,[status(thm)],[c113]) ).
cnf(c115,plain,
( ~ less(X401,X403)
| less(vmul(X401,X402),vmul(X403,X402)) ),
inference(split_conjunct,[status(thm)],[c114]) ).
fof('holds(conseq(307), 490, 0)',conjecture,
greater(vd486,vd488),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(conseq(307), 490, 0)') ).
fof(c117,negated_conjecture,
~ greater(vd486,vd488),
inference(assume_negation,[status(cth)],['holds(conseq(307), 490, 0)']) ).
fof(c118,negated_conjecture,
~ greater(vd486,vd488),
inference(fof_simplification,[status(thm)],[c117]) ).
cnf(c119,negated_conjecture,
~ greater(vd486,vd488),
inference(split_conjunct,[status(thm)],[c118]) ).
fof('ass(cond(goal(130), 0), 0)',axiom,
! [Vd203,Vd204] :
( Vd203 = Vd204
| greater(Vd203,Vd204)
| less(Vd203,Vd204) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(goal(130), 0), 0)') ).
fof(c73,plain,
! [X54,X55] :
( X54 = X55
| greater(X54,X55)
| less(X54,X55) ),
inference(variable_rename,[status(thm)],['ass(cond(goal(130), 0), 0)']) ).
cnf(c74,plain,
( X330 = X329
| greater(X330,X329)
| less(X330,X329) ),
inference(split_conjunct,[status(thm)],[c73]) ).
fof('ass(cond(299, 0), 1)',axiom,
! [Vd456,Vd461,Vd462] :
( Vd461 = Vd462
=> vmul(Vd461,Vd456) = vmul(Vd462,Vd456) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(299, 0), 1)') ).
fof(c110,plain,
! [Vd456,Vd461,Vd462] :
( Vd461 != Vd462
| vmul(Vd461,Vd456) = vmul(Vd462,Vd456) ),
inference(fof_nnf,[status(thm)],['ass(cond(299, 0), 1)']) ).
fof(c111,plain,
! [X86,X87,X88] :
( X87 != X88
| vmul(X87,X86) = vmul(X88,X86) ),
inference(variable_rename,[status(thm)],[c110]) ).
cnf(c112,plain,
( X393 != X394
| vmul(X393,X392) = vmul(X394,X392) ),
inference(split_conjunct,[status(thm)],[c111]) ).
cnf(c633,plain,
( vmul(X3903,X3901) = vmul(X3902,X3901)
| greater(X3903,X3902)
| less(X3903,X3902) ),
inference(resolution,[status(thm)],[c112,c74]) ).
fof('ass(cond(goal(130), 0), 3)',axiom,
! [Vd203,Vd204] :
( Vd203 != Vd204
| ~ greater(Vd203,Vd204) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(goal(130), 0), 3)') ).
fof(c64,plain,
! [Vd203,Vd204] :
( Vd203 != Vd204
| ~ greater(Vd203,Vd204) ),
inference(fof_simplification,[status(thm)],['ass(cond(goal(130), 0), 3)']) ).
fof(c65,plain,
! [X48,X49] :
( X48 != X49
| ~ greater(X48,X49) ),
inference(variable_rename,[status(thm)],[c64]) ).
cnf(c66,plain,
( X101 != X100
| ~ greater(X101,X100) ),
inference(split_conjunct,[status(thm)],[c65]) ).
cnf(c740,plain,
vmul(vd486,vd487) != vmul(vd488,vd487),
inference(resolution,[status(thm)],[c116,c66]) ).
cnf(c79785,plain,
( greater(vd486,vd488)
| less(vd486,vd488) ),
inference(resolution,[status(thm)],[c740,c633]) ).
cnf(c79791,plain,
less(vd486,vd488),
inference(resolution,[status(thm)],[c79785,c119]) ).
cnf(c79799,plain,
less(vmul(vd486,X4695),vmul(vd488,X4695)),
inference(resolution,[status(thm)],[c79791,c115]) ).
cnf(c79901,plain,
~ greater(vmul(vd486,X4704),vmul(vd488,X4704)),
inference(resolution,[status(thm)],[c79799,c69]) ).
cnf(c80383,plain,
$false,
inference(resolution,[status(thm)],[c79901,c116]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : NUM853+2 : TPTP v8.1.2. Released v4.1.0.
% 0.08/0.14 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.14/0.36 % Computer : n022.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Wed May 8 17:06:23 EDT 2024
% 0.14/0.36 % CPUTime :
% 46.94/47.14 % Version: 1.5
% 46.94/47.14 % SZS status Theorem
% 46.94/47.14 % SZS output start CNFRefutation
% See solution above
% 46.94/47.14
% 46.94/47.14 % Initial clauses : 52
% 46.94/47.14 % Processed clauses : 1371
% 46.94/47.14 % Factors computed : 19
% 46.94/47.14 % Resolvents computed: 80266
% 46.94/47.14 % Tautologies deleted: 23
% 46.94/47.14 % Forward subsumed : 1350
% 46.94/47.14 % Backward subsumed : 23
% 46.94/47.14 % -------- CPU Time ---------
% 46.94/47.14 % User time : 46.532 s
% 46.94/47.14 % System time : 0.242 s
% 46.94/47.14 % Total time : 46.773 s
%------------------------------------------------------------------------------