%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : SWV385+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n004.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 17:44:53 EDT 2024
% Result : Theorem 8.62s 8.78s
% Output : Refutation 8.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 3
% Syntax : Number of formulae : 24 ( 6 unt; 0 def)
% Number of atoms : 59 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 78 ( 43 ~; 22 |; 6 &)
% ( 0 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-1 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-3 aty)
% Number of variables : 45 ( 0 sgn 33 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(l21_co,conjecture,
! [U,V,W] :
( ( ~ check_cpq(triple(U,V,W))
| ~ ok(triple(U,V,W)) )
=> ( ~ check_cpq(im_succ_cpq(triple(U,V,W)))
| ~ ok(im_succ_cpq(triple(U,V,W))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l21_co) ).
fof(c25,negated_conjecture,
~ ! [U,V,W] :
( ( ~ check_cpq(triple(U,V,W))
| ~ ok(triple(U,V,W)) )
=> ( ~ check_cpq(im_succ_cpq(triple(U,V,W)))
| ~ ok(im_succ_cpq(triple(U,V,W))) ) ),
inference(assume_negation,[status(cth)],[l21_co]) ).
fof(c26,negated_conjecture,
~ ! [U,V,W] :
( ( ~ check_cpq(triple(U,V,W))
| ~ ok(triple(U,V,W)) )
=> ( ~ check_cpq(im_succ_cpq(triple(U,V,W)))
| ~ ok(im_succ_cpq(triple(U,V,W))) ) ),
inference(fof_simplification,[status(thm)],[c25]) ).
fof(c27,negated_conjecture,
? [U,V,W] :
( ( ~ check_cpq(triple(U,V,W))
| ~ ok(triple(U,V,W)) )
& check_cpq(im_succ_cpq(triple(U,V,W)))
& ok(im_succ_cpq(triple(U,V,W))) ),
inference(fof_nnf,[status(thm)],[c26]) ).
fof(c28,negated_conjecture,
? [X2,X3,X4] :
( ( ~ check_cpq(triple(X2,X3,X4))
| ~ ok(triple(X2,X3,X4)) )
& check_cpq(im_succ_cpq(triple(X2,X3,X4)))
& ok(im_succ_cpq(triple(X2,X3,X4))) ),
inference(variable_rename,[status(thm)],[c27]) ).
fof(c29,negated_conjecture,
( ( ~ check_cpq(triple(skolem0001,skolem0002,skolem0003))
| ~ ok(triple(skolem0001,skolem0002,skolem0003)) )
& check_cpq(im_succ_cpq(triple(skolem0001,skolem0002,skolem0003)))
& ok(im_succ_cpq(triple(skolem0001,skolem0002,skolem0003))) ),
inference(skolemize,[status(esa)],[c28]) ).
cnf(c30,negated_conjecture,
( ~ check_cpq(triple(skolem0001,skolem0002,skolem0003))
| ~ ok(triple(skolem0001,skolem0002,skolem0003)) ),
inference(split_conjunct,[status(thm)],[c29]) ).
cnf(c32,negated_conjecture,
ok(im_succ_cpq(triple(skolem0001,skolem0002,skolem0003))),
inference(split_conjunct,[status(thm)],[c29]) ).
fof(l21_li1316,plain,
! [U,V,W] :
( ~ ok(triple(U,V,W))
=> ~ ok(im_succ_cpq(triple(U,V,W))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l21_li1316) ).
fof(c37,plain,
! [U,V,W] :
( ~ ok(triple(U,V,W))
=> ~ ok(im_succ_cpq(triple(U,V,W))) ),
inference(fof_simplification,[status(thm)],[l21_li1316]) ).
fof(c38,plain,
! [U,V,W] :
( ok(triple(U,V,W))
| ~ ok(im_succ_cpq(triple(U,V,W))) ),
inference(fof_nnf,[status(thm)],[c37]) ).
fof(c39,plain,
! [X8,X9,X10] :
( ok(triple(X8,X9,X10))
| ~ ok(im_succ_cpq(triple(X8,X9,X10))) ),
inference(variable_rename,[status(thm)],[c38]) ).
cnf(c40,plain,
( ok(triple(X443,X444,X442))
| ~ ok(im_succ_cpq(triple(X443,X444,X442))) ),
inference(split_conjunct,[status(thm)],[c39]) ).
cnf(c659,plain,
ok(triple(skolem0001,skolem0002,skolem0003)),
inference(resolution,[status(thm)],[c40,c32]) ).
cnf(c662,plain,
~ check_cpq(triple(skolem0001,skolem0002,skolem0003)),
inference(resolution,[status(thm)],[c659,c30]) ).
cnf(c31,negated_conjecture,
check_cpq(im_succ_cpq(triple(skolem0001,skolem0002,skolem0003))),
inference(split_conjunct,[status(thm)],[c29]) ).
fof(l21_li2225,plain,
! [U,V,W] :
( ~ check_cpq(triple(U,V,W))
=> ( ~ check_cpq(im_succ_cpq(triple(U,V,W)))
| ~ ok(im_succ_cpq(triple(U,V,W))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l21_li2225) ).
fof(c33,plain,
! [U,V,W] :
( ~ check_cpq(triple(U,V,W))
=> ( ~ check_cpq(im_succ_cpq(triple(U,V,W)))
| ~ ok(im_succ_cpq(triple(U,V,W))) ) ),
inference(fof_simplification,[status(thm)],[l21_li2225]) ).
fof(c34,plain,
! [U,V,W] :
( check_cpq(triple(U,V,W))
| ~ check_cpq(im_succ_cpq(triple(U,V,W)))
| ~ ok(im_succ_cpq(triple(U,V,W))) ),
inference(fof_nnf,[status(thm)],[c33]) ).
fof(c35,plain,
! [X5,X6,X7] :
( check_cpq(triple(X5,X6,X7))
| ~ check_cpq(im_succ_cpq(triple(X5,X6,X7)))
| ~ ok(im_succ_cpq(triple(X5,X6,X7))) ),
inference(variable_rename,[status(thm)],[c34]) ).
cnf(c36,plain,
( check_cpq(triple(X431,X433,X432))
| ~ check_cpq(im_succ_cpq(triple(X431,X433,X432)))
| ~ ok(im_succ_cpq(triple(X431,X433,X432))) ),
inference(split_conjunct,[status(thm)],[c35]) ).
cnf(c650,plain,
( check_cpq(triple(skolem0001,skolem0002,skolem0003))
| ~ check_cpq(im_succ_cpq(triple(skolem0001,skolem0002,skolem0003))) ),
inference(resolution,[status(thm)],[c36,c32]) ).
cnf(c14742,plain,
check_cpq(triple(skolem0001,skolem0002,skolem0003)),
inference(resolution,[status(thm)],[c650,c31]) ).
cnf(c14744,plain,
$false,
inference(resolution,[status(thm)],[c14742,c662]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : SWV385+1 : TPTP v8.1.2. Released v3.3.0.
% 0.08/0.14 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.15/0.36 % Computer : n004.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Thu May 9 05:13:38 EDT 2024
% 0.15/0.36 % CPUTime :
% 8.62/8.78 % Version: 1.5
% 8.62/8.78 % SZS status Theorem
% 8.62/8.78 % SZS output start CNFRefutation
% See solution above
% 8.62/8.78
% 8.62/8.78 % Initial clauses : 83
% 8.62/8.78 % Processed clauses : 1001
% 8.62/8.78 % Factors computed : 36
% 8.62/8.78 % Resolvents computed: 14516
% 8.62/8.78 % Tautologies deleted: 8
% 8.62/8.78 % Forward subsumed : 618
% 8.62/8.78 % Backward subsumed : 5
% 8.62/8.78 % -------- CPU Time ---------
% 8.62/8.78 % User time : 8.363 s
% 8.62/8.78 % System time : 0.051 s
% 8.62/8.78 % Total time : 8.414 s
%------------------------------------------------------------------------------