%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : MSC017+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n011.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 25 02:13:50 PM UTC 2026
% Result : Theorem 3.99s 1.08s
% Output : Proof 3.99s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 5
% Syntax : Number of formulae : 36 ( 10 unt; 0 def)
% Number of atoms : 101 ( 7 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 114 ( 49 ~; 40 |; 14 &)
% ( 2 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-1 aty)
% Number of variables : 28 ( 0 sgn 19 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [D] :
( dive(D)
=> ( ( greater(time(D),time_limit)
| greater(depth(D),depth_limit) )
<=> greater(nitrogen(D),nitrogen_limit) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',depth_and_time_and_nitrogen) ).
fof(f1_nnf,plain,
! [D] :
( ( ( ~ greater(nitrogen(D),nitrogen_limit)
| greater(time(D),time_limit)
| greater(depth(D),depth_limit) )
& ( greater(nitrogen(D),nitrogen_limit)
| ( ~ greater(time(D),time_limit)
& ~ greater(depth(D),depth_limit) ) ) )
| ~ dive(D) ),
inference(nnf_transformation,[status(thm)],[f1]) ).
fof(f1_sk,plain,
! [D] :
( ( ( ~ greater(nitrogen(D),nitrogen_limit)
| greater(time(D),time_limit)
| greater(depth(D),depth_limit) )
& ( greater(nitrogen(D),nitrogen_limit)
| ( ~ greater(time(D),time_limit)
& ~ greater(depth(D),depth_limit) ) ) )
| ~ dive(D) ),
inference(skolemisation,[status(esa)],[f1_nnf]) ).
cnf(c3,plain,
( ~ greater(nitrogen(X0),nitrogen_limit)
| greater(time(X0),time_limit)
| greater(depth(X0),depth_limit)
| ~ dive(X0) ),
inference(cnf_transformation,[status(esa)],[f1_sk]) ).
fof(f6,conjecture,
! [D] :
( dive(D)
=> ! [O] :
( outcome(D,O)
=> ~ bad(O) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',no_bad) ).
fof(f6_neg,negated_conjecture,
~ ! [D] :
( dive(D)
=> ! [O] :
( outcome(D,O)
=> ~ bad(O) ) ),
inference(negated_conjecture,[status(cth)],[f6]) ).
fof(f6_nnf,plain,
? [D] :
( ? [O] :
( bad(O)
& outcome(D,O) )
& dive(D) ),
inference(nnf_transformation,[status(thm)],[f6_neg]) ).
fof(f6_sk,plain,
( bad(sk1)
& outcome(sk0,sk1)
& dive(sk0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk0,sk1])],[f6_nnf]) ).
cnf(c10,plain,
dive(sk0),
inference(cnf_transformation,[status(esa)],[f6_sk]) ).
cnf(p22,plain,
( ~ greater(nitrogen(sk0),nitrogen_limit)
| greater(time(sk0),time_limit)
| greater(depth(sk0),depth_limit) ),
inference(resolution,[status(thm)],[c3,c10]) ).
fof(f4,axiom,
! [D] :
( dive(D)
=> ! [O] :
( ( bad(O)
& outcome(D,O) )
=> O = dci ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dci_is_the_only_bad_outcome) ).
fof(f4_nnf,plain,
! [D] :
( ! [O] :
( O = dci
| ~ bad(O)
| ~ outcome(D,O) )
| ~ dive(D) ),
inference(nnf_transformation,[status(thm)],[f4]) ).
fof(f4_sk,plain,
! [D,O] :
( O = dci
| ~ bad(O)
| ~ outcome(D,O)
| ~ dive(D) ),
inference(skolemisation,[status(esa)],[f4_nnf]) ).
cnf(c7,plain,
( X1 = dci
| ~ bad(X1)
| ~ outcome(X0,X1)
| ~ dive(X0) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(p18,plain,
( X0 = dci
| ~ bad(X0)
| ~ outcome(sk0,X0) ),
inference(resolution,[status(thm)],[c7,c10]) ).
cnf(c11,plain,
outcome(sk0,sk1),
inference(cnf_transformation,[status(esa)],[f6_sk]) ).
cnf(p19,plain,
( sk1 = dci
| ~ bad(sk1) ),
inference(resolution,[status(thm)],[p18,c11]) ).
cnf(c12,plain,
bad(sk1),
inference(cnf_transformation,[status(esa)],[f6_sk]) ).
cnf(p20,plain,
sk1 = dci,
inference(resolution,[status(thm)],[p19,c12]) ).
cnf(p21,plain,
outcome(sk0,dci),
inference(demodulation,[status(thm)],[p20,c11]) ).
fof(f2,axiom,
! [D] :
( dive(D)
=> ( greater(nitrogen(D),nitrogen_limit)
<=> outcome(D,dci) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',too_much_nitrogen) ).
fof(f2_nnf,plain,
! [D] :
( ( ( ~ outcome(D,dci)
| greater(nitrogen(D),nitrogen_limit) )
& ( outcome(D,dci)
| ~ greater(nitrogen(D),nitrogen_limit) ) )
| ~ dive(D) ),
inference(nnf_transformation,[status(thm)],[f2]) ).
fof(f2_sk,plain,
! [D] :
( ( ( ~ outcome(D,dci)
| greater(nitrogen(D),nitrogen_limit) )
& ( outcome(D,dci)
| ~ greater(nitrogen(D),nitrogen_limit) ) )
| ~ dive(D) ),
inference(skolemisation,[status(esa)],[f2_nnf]) ).
cnf(c5,plain,
( ~ outcome(X0,dci)
| greater(nitrogen(X0),nitrogen_limit)
| ~ dive(X0) ),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(p17,plain,
( ~ outcome(sk0,dci)
| greater(nitrogen(sk0),nitrogen_limit) ),
inference(resolution,[status(thm)],[c5,c10]) ).
cnf(p23,plain,
greater(nitrogen(sk0),nitrogen_limit),
inference(resolution,[status(thm)],[p21,p17]) ).
cnf(p24,plain,
( greater(time(sk0),time_limit)
| greater(depth(sk0),depth_limit) ),
inference(resolution,[status(thm)],[p22,p23]) ).
fof(f5,axiom,
! [D] :
( dive(D)
=> ( ~ greater(time(D),time_limit)
& ~ greater(depth(D),depth_limit) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',no_deep_long) ).
fof(f5_nnf,plain,
! [D] :
( ( ~ greater(time(D),time_limit)
& ~ greater(depth(D),depth_limit) )
| ~ dive(D) ),
inference(nnf_transformation,[status(thm)],[f5]) ).
fof(f5_sk,plain,
! [D] :
( ( ~ greater(time(D),time_limit)
& ~ greater(depth(D),depth_limit) )
| ~ dive(D) ),
inference(skolemisation,[status(esa)],[f5_nnf]) ).
cnf(c9,plain,
( ~ greater(time(X0),time_limit)
| ~ dive(X0) ),
inference(cnf_transformation,[status(esa)],[f5_sk]) ).
cnf(p15,plain,
~ greater(time(sk0),time_limit),
inference(resolution,[status(thm)],[c9,c10]) ).
cnf(p25,plain,
greater(depth(sk0),depth_limit),
inference(resolution,[status(thm)],[p24,p15]) ).
cnf(c8,plain,
( ~ greater(depth(X0),depth_limit)
| ~ dive(X0) ),
inference(cnf_transformation,[status(esa)],[f5_sk]) ).
cnf(p14,plain,
~ greater(depth(sk0),depth_limit),
inference(resolution,[status(thm)],[c8,c10]) ).
cnf(p26,plain,
$false,
inference(resolution,[status(thm)],[p25,p14]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : MSC017+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.03 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.07/0.34 % Computer : n011.cluster.edu
% 0.07/0.34 % Model : x86_64 x86_64
% 0.07/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.34 % Memory : 8046.5625MB
% 0.07/0.34 % OS : Linux 6.8.0-71-generic
% 0.07/0.34 % CPULimit : 300
% 0.07/0.34 % WCLimit : 300
% 0.07/0.34 % DateTime : Thu Sep 24 01:31:12 UTC 2026
% 0.07/0.35 % CPUTime :
% 0.07/0.35 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 3.99/1.08 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.99/1.08 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------