%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : GEO082-1 : 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 : n007.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 06:13:43 PM UTC 2025
% Result : Unsatisfiable 12.14s 3.88s
% Output : CNFRefutation 12.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 6
% Syntax : Number of formulae : 21 ( 8 unt; 0 typ; 0 def)
% Number of atoms : 48 ( 14 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 46 ( 19 ~; 27 |; 0 &)
% ( 0 <=>; 0 =>; 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 : 9 ( 7 usr; 1 prp; 0-3 aty)
% Number of functors : 16 ( 16 usr; 2 con; 0-3 aty)
% Number of variables : 28 ( 28 !; 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 > sk15 > 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(sk15,type,
sk15: $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_436,axiom,
sk14 != sk15,
file(unknown,unknown) ).
tff(f_434,axiom,
part_of(sk15,sk14),
file(unknown,unknown) ).
tff(f_433,axiom,
part_of(sk14,sk15),
file(unknown,unknown) ).
tff(f_408,axiom,
! [A,B] :
( incident_c(ax0_sk13(A,B),B)
| incident_c(ax0_sk13(A,B),A)
| ( B = A ) ),
file(unknown,unknown) ).
tff(f_52,axiom,
! [A,B,C] :
( ~ part_of(A,B)
| ~ incident_c(C,A)
| incident_c(C,B) ),
file(unknown,unknown) ).
tff(f_430,axiom,
! [A,B] :
( ~ incident_c(ax0_sk13(A,B),A)
| ~ incident_c(ax0_sk13(A,B),B)
| ( B = A ) ),
file(unknown,unknown) ).
tff(c_102,plain,
sk15 != sk14,
inference(cnfTransformation,[status(thm)],[f_436]) ).
tff(c_100,plain,
part_of(sk15,sk14),
inference(cnfTransformation,[status(thm)],[f_434]) ).
tff(c_98,plain,
part_of(sk14,sk15),
inference(cnfTransformation,[status(thm)],[f_433]) ).
tff(c_570,plain,
! [B_243,A_244] :
( ( B_243 = A_244 )
| incident_c(ax0_sk13(A_244,B_243),A_244)
| incident_c(ax0_sk13(A_244,B_243),B_243) ),
inference(cnfTransformation,[status(thm)],[f_408]) ).
tff(c_2,plain,
! [C_3,B_2,A_1] :
( incident_c(C_3,B_2)
| ~ incident_c(C_3,A_1)
| ~ part_of(A_1,B_2) ),
inference(cnfTransformation,[status(thm)],[f_52]) ).
tff(c_600,plain,
! [A_244,B_243,B_2] :
( incident_c(ax0_sk13(A_244,B_243),B_2)
| ~ part_of(B_243,B_2)
| ( B_243 = A_244 )
| incident_c(ax0_sk13(A_244,B_243),A_244) ),
inference(resolution,[status(thm)],[c_570,c_2]) ).
tff(c_30435,plain,
! [B_243,B_2] :
( ~ part_of(B_243,B_2)
| ( B_243 = B_2 )
| incident_c(ax0_sk13(B_2,B_243),B_2) ),
inference(factorization,[status(thm),theory(equality)],[c_600]) ).
tff(c_596,plain,
! [A_244,B_243,B_2] :
( incident_c(ax0_sk13(A_244,B_243),B_2)
| ~ part_of(A_244,B_2)
| ( B_243 = A_244 )
| incident_c(ax0_sk13(A_244,B_243),B_243) ),
inference(resolution,[status(thm)],[c_570,c_2]) ).
tff(c_32729,plain,
! [A_21723,B_21724] :
( ~ part_of(A_21723,B_21724)
| ( B_21724 = A_21723 )
| incident_c(ax0_sk13(A_21723,B_21724),B_21724) ),
inference(factorization,[status(thm),theory(equality)],[c_596]) ).
tff(c_96,plain,
! [B_126,A_125] :
( ( B_126 = A_125 )
| ~ incident_c(ax0_sk13(A_125,B_126),B_126)
| ~ incident_c(ax0_sk13(A_125,B_126),A_125) ),
inference(cnfTransformation,[status(thm)],[f_430]) ).
tff(c_32936,plain,
! [A_21833,B_21834] :
( ~ incident_c(ax0_sk13(A_21833,B_21834),A_21833)
| ~ part_of(A_21833,B_21834)
| ( B_21834 = A_21833 ) ),
inference(resolution,[status(thm)],[c_32729,c_96]) ).
tff(c_33076,plain,
! [B_22053,B_22054] :
( ~ part_of(B_22053,B_22054)
| ~ part_of(B_22054,B_22053)
| ( B_22054 = B_22053 ) ),
inference(resolution,[status(thm)],[c_30435,c_32936]) ).
tff(c_33102,plain,
( ~ part_of(sk15,sk14)
| ( sk15 = sk14 ) ),
inference(resolution,[status(thm)],[c_98,c_33076]) ).
tff(c_33122,plain,
sk15 = sk14,
inference(demodulation,[status(thm),theory(equality)],[c_100,c_33102]) ).
tff(c_33124,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_102,c_33122]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : GEO082-1 : TPTP v9.0.0. Released v2.4.0.
% 0.04/0.13 % 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 : n007.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 19:28:38 EDT 2025
% 0.13/0.34 % CPUTime :
% 12.14/3.88 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 12.14/3.88
% 12.14/3.88 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------