%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : GEO087-1 : 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/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 : n012.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 13.62s 4.58s
% Output : CNFRefutation 13.71s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 12
% Syntax : Number of formulae : 44 ( 12 unt; 0 typ; 0 def)
% Number of atoms : 96 ( 10 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 99 ( 47 ~; 52 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 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 : 17 ( 17 usr; 3 con; 0-3 aty)
% Number of variables : 87 ( 87 !; 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 > sk16 > 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(sk16,type,
sk16: $i ).
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_56,axiom,
! [A,B] :
( incident_c(ax0_sk1(A,B),A)
| part_of(A,B) ),
file(unknown,unknown) ).
tff(f_61,axiom,
! [A,B] :
( ~ incident_c(ax0_sk1(A,B),B)
| part_of(A,B) ),
file(unknown,unknown) ).
tff(f_433,axiom,
part_of(sk14,sk15),
file(unknown,unknown) ).
tff(f_347,axiom,
! [A] : inner_point(ax0_sk8(A),A),
file(unknown,unknown) ).
tff(f_209,axiom,
! [A,B] :
( ~ inner_point(A,B)
| incident_c(A,B) ),
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_434,axiom,
meet(sk16,sk14,sk15),
file(unknown,unknown) ).
tff(f_95,axiom,
! [A,B,C] :
( incident_c(ax0_sk2(A,B,C),C)
| incident_c(ax0_sk2(A,B,C),B)
| incident_c(ax0_sk2(A,B,C),A)
| ( C = sum(B,A) ) ),
file(unknown,unknown) ).
tff(f_128,axiom,
! [A,B,C] :
( ~ incident_c(ax0_sk2(A,B,C),B)
| ~ incident_c(ax0_sk2(A,B,C),C)
| ( C = sum(B,A) ) ),
file(unknown,unknown) ).
tff(f_215,axiom,
! [A,B] :
( ~ inner_point(A,B)
| ~ end_point(A,B) ),
file(unknown,unknown) ).
tff(f_79,axiom,
! [A,B,C,D] :
( ( A != sum(B,C) )
| ~ incident_c(D,B)
| incident_c(D,A) ),
file(unknown,unknown) ).
tff(f_243,axiom,
! [A,B,C,D] :
( ~ meet(A,B,C)
| ~ incident_c(D,B)
| ~ incident_c(D,C)
| end_point(D,B) ),
file(unknown,unknown) ).
tff(c_4,plain,
! [A_4,B_5] :
( part_of(A_4,B_5)
| incident_c(ax0_sk1(A_4,B_5),A_4) ),
inference(cnfTransformation,[status(thm)],[f_56]) ).
tff(c_804,plain,
! [A_269,B_270] :
( part_of(A_269,B_270)
| ~ incident_c(ax0_sk1(A_269,B_270),B_270) ),
inference(cnfTransformation,[status(thm)],[f_61]) ).
tff(c_823,plain,
! [A_4] : part_of(A_4,A_4),
inference(resolution,[status(thm)],[c_4,c_804]) ).
tff(c_98,plain,
part_of(sk14,sk15),
inference(cnfTransformation,[status(thm)],[f_433]) ).
tff(c_74,plain,
! [A_98] : inner_point(ax0_sk8(A_98),A_98),
inference(cnfTransformation,[status(thm)],[f_347]) ).
tff(c_114,plain,
! [A_134,B_135] :
( incident_c(A_134,B_135)
| ~ inner_point(A_134,B_135) ),
inference(cnfTransformation,[status(thm)],[f_209]) ).
tff(c_118,plain,
! [A_98] : incident_c(ax0_sk8(A_98),A_98),
inference(resolution,[status(thm)],[c_74,c_114]) ).
tff(c_843,plain,
! [C_278,B_279,A_280] :
( incident_c(C_278,B_279)
| ~ incident_c(C_278,A_280)
| ~ part_of(A_280,B_279) ),
inference(cnfTransformation,[status(thm)],[f_52]) ).
tff(c_904,plain,
! [A_288,B_289] :
( incident_c(ax0_sk8(A_288),B_289)
| ~ part_of(A_288,B_289) ),
inference(resolution,[status(thm)],[c_118,c_843]) ).
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_955,plain,
! [A_301,B_302,B_303] :
( incident_c(ax0_sk8(A_301),B_302)
| ~ part_of(B_303,B_302)
| ~ part_of(A_301,B_303) ),
inference(resolution,[status(thm)],[c_904,c_2]) ).
tff(c_978,plain,
! [A_306] :
( incident_c(ax0_sk8(A_306),sk15)
| ~ part_of(A_306,sk14) ),
inference(resolution,[status(thm)],[c_98,c_955]) ).
tff(c_981,plain,
! [A_306,B_2] :
( incident_c(ax0_sk8(A_306),B_2)
| ~ part_of(sk15,B_2)
| ~ part_of(A_306,sk14) ),
inference(resolution,[status(thm)],[c_978,c_2]) ).
tff(c_100,plain,
meet(sk16,sk14,sk15),
inference(cnfTransformation,[status(thm)],[f_434]) ).
tff(c_14,plain,
! [B_21,A_20,C_22] :
( ( sum(B_21,A_20) = C_22 )
| incident_c(ax0_sk2(A_20,B_21,C_22),A_20)
| incident_c(ax0_sk2(A_20,B_21,C_22),B_21)
| incident_c(ax0_sk2(A_20,B_21,C_22),C_22) ),
inference(cnfTransformation,[status(thm)],[f_95]) ).
tff(c_2304,plain,
! [B_21,C_22] :
( ( sum(B_21,C_22) = C_22 )
| incident_c(ax0_sk2(C_22,B_21,C_22),B_21)
| incident_c(ax0_sk2(C_22,B_21,C_22),C_22) ),
inference(factorization,[status(thm),theory(equality)],[c_14]) ).
tff(c_37302,plain,
! [C_22] :
( ( sum(C_22,C_22) = C_22 )
| incident_c(ax0_sk2(C_22,C_22,C_22),C_22) ),
inference(factorization,[status(thm),theory(equality)],[c_2304]) ).
tff(c_43199,plain,
! [C_26371] :
( ( sum(C_26371,C_26371) = C_26371 )
| incident_c(ax0_sk2(C_26371,C_26371,C_26371),C_26371) ),
inference(factorization,[status(thm),theory(equality)],[c_2304]) ).
tff(c_22,plain,
! [B_33,A_32,C_34] :
( ( sum(B_33,A_32) = C_34 )
| ~ incident_c(ax0_sk2(A_32,B_33,C_34),C_34)
| ~ incident_c(ax0_sk2(A_32,B_33,C_34),B_33) ),
inference(cnfTransformation,[status(thm)],[f_128]) ).
tff(c_43852,plain,
! [C_26919] :
( ~ incident_c(ax0_sk2(C_26919,C_26919,C_26919),C_26919)
| ( sum(C_26919,C_26919) = C_26919 ) ),
inference(resolution,[status(thm)],[c_43199,c_22]) ).
tff(c_44002,plain,
! [C_22] : ( sum(C_22,C_22) = C_22 ),
inference(resolution,[status(thm)],[c_37302,c_43852]) ).
tff(c_121,plain,
! [A_139,B_140] :
( ~ end_point(A_139,B_140)
| ~ inner_point(A_139,B_140) ),
inference(cnfTransformation,[status(thm)],[f_215]) ).
tff(c_125,plain,
! [A_98] : ~ end_point(ax0_sk8(A_98),A_98),
inference(resolution,[status(thm)],[c_74,c_121]) ).
tff(c_10,plain,
! [D_15,B_13,C_14] :
( incident_c(D_15,sum(B_13,C_14))
| ~ incident_c(D_15,B_13) ),
inference(cnfTransformation,[status(thm)],[f_79]) ).
tff(c_1402,plain,
! [D_364,B_365,C_366,A_367] :
( end_point(D_364,B_365)
| ~ incident_c(D_364,C_366)
| ~ incident_c(D_364,B_365)
| ~ meet(A_367,B_365,C_366) ),
inference(cnfTransformation,[status(thm)],[f_243]) ).
tff(c_23565,plain,
! [A_11150,C_11152,B_11153,B_11149,D_11151] :
( end_point(D_11151,B_11153)
| ~ incident_c(D_11151,B_11153)
| ~ meet(A_11150,B_11153,sum(B_11149,C_11152))
| ~ incident_c(D_11151,B_11149) ),
inference(resolution,[status(thm)],[c_10,c_1402]) ).
tff(c_23685,plain,
! [A_98,A_11150,B_11149,C_11152] :
( end_point(ax0_sk8(A_98),A_98)
| ~ meet(A_11150,A_98,sum(B_11149,C_11152))
| ~ incident_c(ax0_sk8(A_98),B_11149) ),
inference(resolution,[status(thm)],[c_118,c_23565]) ).
tff(c_45296,plain,
! [A_27685,A_27686,B_27687,C_27688] :
( ~ meet(A_27685,A_27686,sum(B_27687,C_27688))
| ~ incident_c(ax0_sk8(A_27686),B_27687) ),
inference(negUnitSimplification,[status(thm)],[c_125,c_23685]) ).
tff(c_45342,plain,
! [A_27797,A_27798,C_27799] :
( ~ meet(A_27797,A_27798,C_27799)
| ~ incident_c(ax0_sk8(A_27798),C_27799) ),
inference(superposition,[status(thm),theory(equality)],[c_44002,c_45296]) ).
tff(c_45348,plain,
~ incident_c(ax0_sk8(sk14),sk15),
inference(resolution,[status(thm)],[c_100,c_45342]) ).
tff(c_45360,plain,
( ~ part_of(sk15,sk15)
| ~ part_of(sk14,sk14) ),
inference(resolution,[status(thm)],[c_981,c_45348]) ).
tff(c_45378,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_823,c_823,c_45360]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GEO087-1 : TPTP v9.0.0. Released v2.4.0.
% 0.11/0.12 % 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
% 0.12/0.33 % Computer : n012.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Mon Apr 7 19:28:15 EDT 2025
% 0.12/0.33 % CPUTime :
% 13.62/4.58 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 13.71/4.59
% 13.71/4.59 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------