%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : GEO085-1 : TPTP v9.0.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 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 : Wed Apr 9 06:13:44 PM UTC 2025
% Result : Unsatisfiable 4.43s 2.00s
% Output : CNFRefutation 4.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 7
% Syntax : Number of formulae : 27 ( 8 unt; 0 typ; 0 def)
% Number of atoms : 49 ( 11 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 48 ( 26 ~; 22 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-3 aty)
% Number of functors : 15 ( 15 usr; 1 con; 0-3 aty)
% Number of variables : 25 ( 25 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ meet > part_of > inner_point > incident_c > end_point > open > closed > ax0_sk5 > ax0_sk2 > sum > ax0_sk9 > ax0_sk4 > ax0_sk3 > ax0_sk13 > ax0_sk12 > ax0_sk11 > ax0_sk10 > ax0_sk1 > #nlpp > ax0_sk8 > ax0_sk7 > ax0_sk6 > sk14
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(closed,type,
closed: $i > $o ).
tff(ax0_sk8,type,
ax0_sk8: $i > $i ).
tff(ax0_sk9,type,
ax0_sk9: ( $i * $i ) > $i ).
tff(inner_point,type,
inner_point: ( $i * $i ) > $o ).
tff(end_point,type,
end_point: ( $i * $i ) > $o ).
tff(ax0_sk12,type,
ax0_sk12: ( $i * $i ) > $i ).
tff(ax0_sk13,type,
ax0_sk13: ( $i * $i ) > $i ).
tff(part_of,type,
part_of: ( $i * $i ) > $o ).
tff(meet,type,
meet: ( $i * $i * $i ) > $o ).
tff(ax0_sk4,type,
ax0_sk4: ( $i * $i ) > $i ).
tff(incident_c,type,
incident_c: ( $i * $i ) > $o ).
tff(sum,type,
sum: ( $i * $i ) > $i ).
tff(ax0_sk11,type,
ax0_sk11: ( $i * $i ) > $i ).
tff(sk14,type,
sk14: $i ).
tff(ax0_sk1,type,
ax0_sk1: ( $i * $i ) > $i ).
tff(ax0_sk2,type,
ax0_sk2: ( $i * $i * $i ) > $i ).
tff(ax0_sk7,type,
ax0_sk7: $i > $i ).
tff(ax0_sk10,type,
ax0_sk10: ( $i * $i ) > $i ).
tff(ax0_sk3,type,
ax0_sk3: ( $i * $i ) > $i ).
tff(ax0_sk5,type,
ax0_sk5: ( $i * $i * $i ) > $i ).
tff(ax0_sk6,type,
ax0_sk6: $i > $i ).
tff(open,type,
open: $i > $o ).
tff(f_433,axiom,
open(sk14),
file(unknown,unknown) ).
tff(f_303,axiom,
! [A] :
( ~ open(A)
| end_point(ax0_sk7(A),A) ),
file(unknown,unknown) ).
tff(f_294,axiom,
! [A,B] :
( ~ closed(A)
| ~ end_point(B,A) ),
file(unknown,unknown) ).
tff(f_298,axiom,
! [A] :
( end_point(ax0_sk6(A),A)
| closed(A) ),
file(unknown,unknown) ).
tff(f_441,axiom,
! [A,B] :
( ( A = B )
| ~ end_point(A,sk14)
| ~ end_point(B,sk14) ),
file(unknown,unknown) ).
tff(f_383,axiom,
! [A,B] :
( ~ end_point(A,B)
| ( A != ax0_sk11(A,B) ) ),
file(unknown,unknown) ).
tff(f_377,axiom,
! [A,B] :
( ~ end_point(A,B)
| end_point(ax0_sk11(A,B),B) ),
file(unknown,unknown) ).
tff(c_98,plain,
open(sk14),
inference(cnfTransformation,[status(thm)],[f_433]) ).
tff(c_66,plain,
! [A_88] :
( end_point(ax0_sk7(A_88),A_88)
| ~ open(A_88) ),
inference(cnfTransformation,[status(thm)],[f_303]) ).
tff(c_104,plain,
! [A_134] :
( end_point(ax0_sk7(A_134),A_134)
| ~ open(A_134) ),
inference(cnfTransformation,[status(thm)],[f_303]) ).
tff(c_62,plain,
! [B_86,A_85] :
( ~ end_point(B_86,A_85)
| ~ closed(A_85) ),
inference(cnfTransformation,[status(thm)],[f_294]) ).
tff(c_122,plain,
! [A_136] :
( ~ closed(A_136)
| ~ open(A_136) ),
inference(resolution,[status(thm)],[c_104,c_62]) ).
tff(c_126,plain,
~ closed(sk14),
inference(resolution,[status(thm)],[c_98,c_122]) ).
tff(c_64,plain,
! [A_87] :
( closed(A_87)
| end_point(ax0_sk6(A_87),A_87) ),
inference(cnfTransformation,[status(thm)],[f_298]) ).
tff(c_157,plain,
! [B_156,A_157] :
( ~ end_point(B_156,sk14)
| ~ end_point(A_157,sk14)
| ( B_156 = A_157 ) ),
inference(cnfTransformation,[status(thm)],[f_441]) ).
tff(c_160,plain,
! [A_157] :
( ~ end_point(A_157,sk14)
| ( ax0_sk6(sk14) = A_157 )
| closed(sk14) ),
inference(resolution,[status(thm)],[c_64,c_157]) ).
tff(c_187,plain,
! [A_160] :
( ~ end_point(A_160,sk14)
| ( ax0_sk6(sk14) = A_160 ) ),
inference(negUnitSimplification,[status(thm)],[c_126,c_160]) ).
tff(c_199,plain,
( ( ax0_sk7(sk14) = ax0_sk6(sk14) )
| ~ open(sk14) ),
inference(resolution,[status(thm)],[c_66,c_187]) ).
tff(c_207,plain,
ax0_sk7(sk14) = ax0_sk6(sk14),
inference(demodulation,[status(thm),theory(equality)],[c_98,c_199]) ).
tff(c_211,plain,
( end_point(ax0_sk6(sk14),sk14)
| ~ open(sk14) ),
inference(superposition,[status(thm),theory(equality)],[c_207,c_66]) ).
tff(c_215,plain,
end_point(ax0_sk6(sk14),sk14),
inference(demodulation,[status(thm),theory(equality)],[c_98,c_211]) ).
tff(c_84,plain,
! [A_109,B_110] :
( ( ax0_sk11(A_109,B_110) != A_109 )
| ~ end_point(A_109,B_110) ),
inference(cnfTransformation,[status(thm)],[f_383]) ).
tff(c_234,plain,
ax0_sk11(ax0_sk6(sk14),sk14) != ax0_sk6(sk14),
inference(resolution,[status(thm)],[c_215,c_84]) ).
tff(c_82,plain,
! [A_107,B_108] :
( end_point(ax0_sk11(A_107,B_108),B_108)
| ~ end_point(A_107,B_108) ),
inference(cnfTransformation,[status(thm)],[f_377]) ).
tff(c_277,plain,
! [A_176] :
( ( ax0_sk11(A_176,sk14) = ax0_sk6(sk14) )
| ~ end_point(A_176,sk14) ),
inference(resolution,[status(thm)],[c_82,c_187]) ).
tff(c_280,plain,
ax0_sk11(ax0_sk6(sk14),sk14) = ax0_sk6(sk14),
inference(resolution,[status(thm)],[c_215,c_277]) ).
tff(c_296,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_234,c_280]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : GEO085-1 : TPTP v9.0.0. Released v2.4.0.
% 0.10/0.13 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.13/0.34 % Computer : n017.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Apr 7 19:28:40 EDT 2025
% 0.13/0.34 % CPUTime :
% 4.43/2.00 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.43/2.00
% 4.43/2.00 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------