%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : MSC017+1 : TPTP v9.2.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n017.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 : Tue May 5 04:49:15 PM UTC 2026
% Result : Theorem 1.25s 1.73s
% Output : CNFRefutation 1.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 5
% Syntax : Number of formulae : 25 ( 7 unt; 0 def)
% Number of atoms : 74 ( 4 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 86 ( 37 ~; 28 |; 9 &)
% ( 2 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 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 : 22 ( 0 sgn 15 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(no_bad,conjecture,
! [X1] :
( dive(X1)
=> ! [X2] :
( outcome(X1,X2)
=> ~ bad(X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',no_bad) ).
fof(dci_is_the_only_bad_outcome,axiom,
! [X1] :
( dive(X1)
=> ! [X2] :
( ( outcome(X1,X2)
& bad(X2) )
=> X2 = dci ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dci_is_the_only_bad_outcome) ).
fof(no_deep_long,axiom,
! [X1] :
( dive(X1)
=> ( ~ greater(depth(X1),depth_limit)
& ~ greater(time(X1),time_limit) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',no_deep_long) ).
fof(depth_and_time_and_nitrogen,axiom,
! [X1] :
( dive(X1)
=> ( ( greater(depth(X1),depth_limit)
| greater(time(X1),time_limit) )
<=> greater(nitrogen(X1),nitrogen_limit) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',depth_and_time_and_nitrogen) ).
fof(too_much_nitrogen,axiom,
! [X1] :
( dive(X1)
=> ( greater(nitrogen(X1),nitrogen_limit)
<=> outcome(X1,dci) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',too_much_nitrogen) ).
fof(c_0_5,negated_conjecture,
~ ! [X1] :
( dive(X1)
=> ! [X2] :
( outcome(X1,X2)
=> ~ bad(X2) ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[no_bad])]) ).
fof(c_0_6,plain,
! [X14,X15] :
( ~ dive(X14)
| ~ outcome(X14,X15)
| ~ bad(X15)
| X15 = dci ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dci_is_the_only_bad_outcome])])]) ).
fof(c_0_7,negated_conjecture,
( dive(esk1_0)
& outcome(esk1_0,esk2_0)
& bad(esk2_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_5])])]) ).
fof(c_0_8,plain,
! [X1] :
( dive(X1)
=> ( ~ greater(depth(X1),depth_limit)
& ~ greater(time(X1),time_limit) ) ),
inference(fof_simplification,[status(thm)],[no_deep_long]) ).
cnf(c_0_9,plain,
( X2 = dci
| ~ dive(X1)
| ~ outcome(X1,X2)
| ~ bad(X2) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_10,negated_conjecture,
outcome(esk1_0,esk2_0),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_11,negated_conjecture,
bad(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_12,negated_conjecture,
dive(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
fof(c_0_13,plain,
! [X12] :
( ( ~ greater(depth(X12),depth_limit)
| greater(nitrogen(X12),nitrogen_limit)
| ~ dive(X12) )
& ( ~ greater(time(X12),time_limit)
| greater(nitrogen(X12),nitrogen_limit)
| ~ dive(X12) )
& ( ~ greater(nitrogen(X12),nitrogen_limit)
| greater(depth(X12),depth_limit)
| greater(time(X12),time_limit)
| ~ dive(X12) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[depth_and_time_and_nitrogen])])]) ).
fof(c_0_14,plain,
! [X16] :
( ( ~ greater(depth(X16),depth_limit)
| ~ dive(X16) )
& ( ~ greater(time(X16),time_limit)
| ~ dive(X16) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_8])])]) ).
fof(c_0_15,plain,
! [X13] :
( ( ~ greater(nitrogen(X13),nitrogen_limit)
| outcome(X13,dci)
| ~ dive(X13) )
& ( ~ outcome(X13,dci)
| greater(nitrogen(X13),nitrogen_limit)
| ~ dive(X13) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[too_much_nitrogen])])]) ).
cnf(c_0_16,negated_conjecture,
esk2_0 = dci,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_10]),c_0_11]),c_0_12])]) ).
cnf(c_0_17,plain,
( greater(depth(X1),depth_limit)
| greater(time(X1),time_limit)
| ~ greater(nitrogen(X1),nitrogen_limit)
| ~ dive(X1) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_18,plain,
( ~ greater(time(X1),time_limit)
| ~ dive(X1) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_19,plain,
( ~ greater(depth(X1),depth_limit)
| ~ dive(X1) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_20,plain,
( greater(nitrogen(X1),nitrogen_limit)
| ~ outcome(X1,dci)
| ~ dive(X1) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_21,negated_conjecture,
outcome(esk1_0,dci),
inference(rw,[status(thm)],[c_0_10,c_0_16]) ).
cnf(c_0_22,plain,
( ~ greater(nitrogen(X1),nitrogen_limit)
| ~ dive(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_17,c_0_18]),c_0_19]) ).
cnf(c_0_23,negated_conjecture,
greater(nitrogen(esk1_0),nitrogen_limit),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21]),c_0_12])]) ).
cnf(c_0_24,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_23]),c_0_12])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : MSC017+1 : TPTP v9.2.1. Released v4.0.0.
% 0.00/0.12 % Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.17/0.34 % Computer : n017.cluster.edu
% 0.17/0.34 % Model : x86_64 x86_64
% 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.34 % Memory : 8042.1875MB
% 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.34 % CPULimit : 300
% 0.17/0.34 % WCLimit : 300
% 0.17/0.34 % DateTime : Mon May 4 23:34:57 EDT 2026
% 0.17/0.34 % CPUTime :
% 0.17/0.35 % start to proof: theBenchmark
% 1.25/1.73 % Version : CSE_E---1.7
% 1.25/1.73 % Problem : theBenchmark.p
% 1.25/1.73 % SZS status Theorem for theBenchmark.p
% 1.25/1.73 % SZS output start CNFRefutation
% See solution above
% 1.25/1.73 % Total time : 1.375s
%------------------------------------------------------------------------------