%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : MSC017+1 : TPTP v9.0.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% Computer : n002.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 : Wed Apr 9 07:45:11 PM UTC 2025
% Result : Theorem 3.07s 1.77s
% Output : CNFRefutation 3.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 5
% Syntax : Number of formulae : 21 ( 6 unt; 0 typ; 0 def)
% Number of atoms : 52 ( 4 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 57 ( 26 ~; 20 |; 2 &)
% ( 2 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 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 : 17 ( 17 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ outcome > greater > dive > bad > padi > #nlpp > time > nitrogen > depth > time_limit > nitrogen_limit > depth_limit > dci > #skF_2 > #skF_1
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(greater,type,
greater: ( $i * $i ) > $o ).
tff(dive,type,
dive: $i > $o ).
tff(depth_limit,type,
depth_limit: $i ).
tff(depth,type,
depth: $i > $i ).
tff(dci,type,
dci: $i ).
tff(time_limit,type,
time_limit: $i ).
tff('#skF_2',type,
'#skF_2': $i ).
tff('#skF_1',type,
'#skF_1': $i ).
tff(padi,type,
padi: ( $i * $i ) > $i ).
tff(nitrogen,type,
nitrogen: $i > $i ).
tff(time,type,
time: $i > $i ).
tff(nitrogen_limit,type,
nitrogen_limit: $i ).
tff(bad,type,
bad: $i > $o ).
tff(outcome,type,
outcome: ( $i * $i ) > $o ).
tff(f_76,negated_conjecture,
~ ! [D] :
( dive(D)
=> ! [O] :
( outcome(D,O)
=> ~ bad(O) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',no_bad) ).
tff(f_57,axiom,
! [D] :
( dive(D)
=> ! [O] :
( ( outcome(D,O)
& bad(O) )
=> ( O = dci ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dci_is_the_only_bad_outcome) ).
tff(f_45,axiom,
! [D] :
( dive(D)
=> ( greater(nitrogen(D),nitrogen_limit)
<=> outcome(D,dci) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',too_much_nitrogen) ).
tff(f_37,axiom,
! [D] :
( dive(D)
=> ( ( greater(depth(D),depth_limit)
| greater(time(D),time_limit) )
<=> greater(nitrogen(D),nitrogen_limit) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',depth_and_time_and_nitrogen) ).
tff(f_66,axiom,
! [D] :
( dive(D)
=> ( ~ greater(depth(D),depth_limit)
& ~ greater(time(D),time_limit) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',no_deep_long) ).
tff(c_26,plain,
dive('#skF_1'),
inference(cnfTransformation,[status(thm)],[f_76]) ).
tff(c_24,plain,
outcome('#skF_1','#skF_2'),
inference(cnfTransformation,[status(thm)],[f_76]) ).
tff(c_22,plain,
bad('#skF_2'),
inference(cnfTransformation,[status(thm)],[f_76]) ).
tff(c_29,plain,
! [O_11,D_12] :
( ( dci = O_11 )
| ~ bad(O_11)
| ~ outcome(D_12,O_11)
| ~ dive(D_12) ),
inference(cnfTransformation,[status(thm)],[f_57]) ).
tff(c_32,plain,
( ( dci = '#skF_2' )
| ~ bad('#skF_2')
| ~ dive('#skF_1') ),
inference(resolution,[status(thm)],[c_24,c_29]) ).
tff(c_35,plain,
dci = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_26,c_22,c_32]) ).
tff(c_10,plain,
! [D_3] :
( greater(nitrogen(D_3),nitrogen_limit)
| ~ outcome(D_3,dci)
| ~ dive(D_3) ),
inference(cnfTransformation,[status(thm)],[f_45]) ).
tff(c_54,plain,
! [D_3] :
( greater(nitrogen(D_3),nitrogen_limit)
| ~ outcome(D_3,'#skF_2')
| ~ dive(D_3) ),
inference(demodulation,[status(thm),theory(equality)],[c_35,c_10]) ).
tff(c_68,plain,
! [D_18] :
( greater(time(D_18),time_limit)
| greater(depth(D_18),depth_limit)
| ~ greater(nitrogen(D_18),nitrogen_limit)
| ~ dive(D_18) ),
inference(cnfTransformation,[status(thm)],[f_37]) ).
tff(c_18,plain,
! [D_7] :
( ~ greater(time(D_7),time_limit)
| ~ dive(D_7) ),
inference(cnfTransformation,[status(thm)],[f_66]) ).
tff(c_73,plain,
! [D_19] :
( greater(depth(D_19),depth_limit)
| ~ greater(nitrogen(D_19),nitrogen_limit)
| ~ dive(D_19) ),
inference(resolution,[status(thm)],[c_68,c_18]) ).
tff(c_78,plain,
! [D_20] :
( greater(depth(D_20),depth_limit)
| ~ outcome(D_20,'#skF_2')
| ~ dive(D_20) ),
inference(resolution,[status(thm)],[c_54,c_73]) ).
tff(c_20,plain,
! [D_7] :
( ~ greater(depth(D_7),depth_limit)
| ~ dive(D_7) ),
inference(cnfTransformation,[status(thm)],[f_66]) ).
tff(c_83,plain,
! [D_21] :
( ~ outcome(D_21,'#skF_2')
| ~ dive(D_21) ),
inference(resolution,[status(thm)],[c_78,c_20]) ).
tff(c_86,plain,
~ dive('#skF_1'),
inference(resolution,[status(thm)],[c_24,c_83]) ).
tff(c_90,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_26,c_86]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : MSC017+1 : TPTP v9.0.0. Released v4.0.0.
% 0.06/0.12 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.13/0.33 % Computer : n002.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Tue Apr 8 07:59:17 EDT 2025
% 0.13/0.33 % CPUTime :
% 3.07/1.77 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.07/1.77
% 3.07/1.77 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------