TSTP Solution File: MSC017+1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : MSC017+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% Computer : n026.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 Aug 31 09:21:28 EDT 2023
% Result : Theorem 0.21s 0.61s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 19
% Syntax : Number of formulae : 39 ( 7 unt; 14 typ; 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 types : 2 ( 0 usr)
% Number of type conns : 11 ( 8 >; 3 *; 0 +; 0 <<)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 6 con; 0-2 aty)
% Number of variables : 22 ( 0 sgn; 15 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
dive: $i > $o ).
tff(decl_23,type,
nitrogen: $i > $i ).
tff(decl_24,type,
depth: $i > $i ).
tff(decl_25,type,
time: $i > $i ).
tff(decl_26,type,
padi: ( $i * $i ) > $i ).
tff(decl_27,type,
depth_limit: $i ).
tff(decl_28,type,
greater: ( $i * $i ) > $o ).
tff(decl_29,type,
time_limit: $i ).
tff(decl_30,type,
nitrogen_limit: $i ).
tff(decl_31,type,
dci: $i ).
tff(decl_32,type,
outcome: ( $i * $i ) > $o ).
tff(decl_33,type,
bad: $i > $o ).
tff(decl_34,type,
esk1_0: $i ).
tff(decl_35,type,
esk2_0: $i ).
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,
! [X6,X7] :
( ~ dive(X6)
| ~ outcome(X6,X7)
| ~ bad(X7)
| X7 = 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,
! [X4] :
( ( ~ greater(depth(X4),depth_limit)
| greater(nitrogen(X4),nitrogen_limit)
| ~ dive(X4) )
& ( ~ greater(time(X4),time_limit)
| greater(nitrogen(X4),nitrogen_limit)
| ~ dive(X4) )
& ( ~ greater(nitrogen(X4),nitrogen_limit)
| greater(depth(X4),depth_limit)
| greater(time(X4),time_limit)
| ~ dive(X4) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[depth_and_time_and_nitrogen])])]) ).
fof(c_0_14,plain,
! [X8] :
( ( ~ greater(depth(X8),depth_limit)
| ~ dive(X8) )
& ( ~ greater(time(X8),time_limit)
| ~ dive(X8) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_8])])]) ).
fof(c_0_15,plain,
! [X5] :
( ( ~ greater(nitrogen(X5),nitrogen_limit)
| outcome(X5,dci)
| ~ dive(X5) )
& ( ~ outcome(X5,dci)
| greater(nitrogen(X5),nitrogen_limit)
| ~ dive(X5) ) ),
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
% 0.00/0.13 % Problem : MSC017+1 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.14 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.14/0.36 % Computer : n026.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 : Thu Aug 24 14:05:16 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.21/0.60 start to proof: theBenchmark
% 0.21/0.61 % Version : CSE_E---1.5
% 0.21/0.61 % Problem : theBenchmark.p
% 0.21/0.61 % Proof found
% 0.21/0.61 % SZS status Theorem for theBenchmark.p
% 0.21/0.61 % SZS output start Proof
% See solution above
% 0.21/0.62 % Total time : 0.005000 s
% 0.21/0.62 % SZS output end Proof
% 0.21/0.62 % Total time : 0.008000 s
%------------------------------------------------------------------------------