TSTP Solution File: GEO126-1 by Beagle---0.9.51
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%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GEO126-1 : TPTP v8.1.2. 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 : n018.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 : Tue Aug 22 10:38:14 EDT 2023
% Result : Unsatisfiable 6.29s 2.41s
% Output : CNFRefutation 6.29s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 50
% Syntax : Number of formulae : 75 ( 15 unt; 40 typ; 0 def)
% Number of atoms : 60 ( 9 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 52 ( 27 ~; 25 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 86 ( 39 >; 47 *; 0 +; 0 <<)
% Number of predicates : 15 ( 13 usr; 1 prp; 0-4 aty)
% Number of functors : 27 ( 27 usr; 1 con; 0-5 aty)
% Number of variables : 45 (; 45 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ between_o > between_c > ordered_by > meet > start_point > part_of > inner_point > incident_o > incident_c > finish_point > end_point > open > closed > ax2_sk5 > ax2_sk4 > ax1_sk1 > ax2_sk7 > ax0_sk5 > ax0_sk2 > sum > ax2_sk9 > ax2_sk8 > ax2_sk2 > ax2_sk10 > ax2_sk1 > ax0_sk9 > ax0_sk4 > ax0_sk3 > ax0_sk13 > ax0_sk12 > ax0_sk11 > ax0_sk10 > ax0_sk1 > #nlpp > underlying_curve > ax2_sk6 > ax2_sk3 > ax0_sk8 > ax0_sk7 > ax0_sk6 > sk25
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(ax2_sk6,type,
ax2_sk6: $i > $i ).
tff(underlying_curve,type,
underlying_curve: $i > $i ).
tff(ax2_sk10,type,
ax2_sk10: ( $i * $i ) > $i ).
tff(between_c,type,
between_c: ( $i * $i * $i * $i ) > $o ).
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(finish_point,type,
finish_point: ( $i * $i ) > $o ).
tff(ax2_sk1,type,
ax2_sk1: ( $i * $i ) > $i ).
tff(start_point,type,
start_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(between_o,type,
between_o: ( $i * $i * $i * $i ) > $o ).
tff(meet,type,
meet: ( $i * $i * $i ) > $o ).
tff(ax2_sk7,type,
ax2_sk7: ( $i * $i * $i ) > $i ).
tff(ax0_sk4,type,
ax0_sk4: ( $i * $i ) > $i ).
tff(ax2_sk4,type,
ax2_sk4: ( $i * $i * $i * $i ) > $i ).
tff(incident_c,type,
incident_c: ( $i * $i ) > $o ).
tff(sk25,type,
sk25: $i ).
tff(ax2_sk9,type,
ax2_sk9: ( $i * $i ) > $i ).
tff(sum,type,
sum: ( $i * $i ) > $i ).
tff(ordered_by,type,
ordered_by: ( $i * $i * $i ) > $o ).
tff(ax2_sk2,type,
ax2_sk2: ( $i * $i ) > $i ).
tff(ax0_sk11,type,
ax0_sk11: ( $i * $i ) > $i ).
tff(ax2_sk5,type,
ax2_sk5: ( $i * $i * $i * $i * $i ) > $i ).
tff(incident_o,type,
incident_o: ( $i * $i ) > $o ).
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(ax1_sk1,type,
ax1_sk1: ( $i * $i * $i * $i ) > $i ).
tff(ax2_sk8,type,
ax2_sk8: ( $i * $i ) > $i ).
tff(ax2_sk3,type,
ax2_sk3: $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_725,axiom,
! [A] : start_point(ax2_sk6(A),A),
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_662,axiom,
! [A,B] :
( ~ incident_c(A,ax2_sk3(B))
| incident_o(A,B) ),
file(unknown,unknown) ).
tff(f_579,axiom,
! [A,B,C] :
( ~ start_point(A,B)
| ( A = C )
| ~ incident_o(C,B)
| ordered_by(B,A,C) ),
file(unknown,unknown) ).
tff(f_849,axiom,
! [A,B] :
( ~ ordered_by(sk25,A,B)
| ( A = B ) ),
file(unknown,unknown) ).
tff(f_215,axiom,
! [A,B] :
( ~ inner_point(A,B)
| ~ end_point(A,B) ),
file(unknown,unknown) ).
tff(f_652,axiom,
! [A] : open(ax2_sk3(A)),
file(unknown,unknown) ).
tff(f_303,axiom,
! [A] :
( ~ open(A)
| end_point(ax0_sk7(A),A) ),
file(unknown,unknown) ).
tff(f_141,axiom,
! [A,B] :
( ~ end_point(A,B)
| incident_c(A,B) ),
file(unknown,unknown) ).
tff(c_166,plain,
! [A_243] : start_point(ax2_sk6(A_243),A_243),
inference(cnfTransformation,[status(thm)],[f_725]) ).
tff(c_74,plain,
! [A_98] : inner_point(ax0_sk8(A_98),A_98),
inference(cnfTransformation,[status(thm)],[f_347]) ).
tff(c_245,plain,
! [A_306,B_307] :
( incident_c(A_306,B_307)
| ~ inner_point(A_306,B_307) ),
inference(cnfTransformation,[status(thm)],[f_209]) ).
tff(c_249,plain,
! [A_98] : incident_c(ax0_sk8(A_98),A_98),
inference(resolution,[status(thm)],[c_74,c_245]) ).
tff(c_264,plain,
! [A_323,B_324] :
( incident_o(A_323,B_324)
| ~ incident_c(A_323,ax2_sk3(B_324)) ),
inference(cnfTransformation,[status(thm)],[f_662]) ).
tff(c_273,plain,
! [B_324] : incident_o(ax0_sk8(ax2_sk3(B_324)),B_324),
inference(resolution,[status(thm)],[c_249,c_264]) ).
tff(c_1353,plain,
! [B_532,A_533,C_534] :
( ordered_by(B_532,A_533,C_534)
| ~ incident_o(C_534,B_532)
| ( C_534 = A_533 )
| ~ start_point(A_533,B_532) ),
inference(cnfTransformation,[status(thm)],[f_579]) ).
tff(c_194,plain,
! [B_278,A_277] :
( ( B_278 = A_277 )
| ~ ordered_by(sk25,A_277,B_278) ),
inference(cnfTransformation,[status(thm)],[f_849]) ).
tff(c_1377,plain,
! [C_535,A_536] :
( ~ incident_o(C_535,sk25)
| ( C_535 = A_536 )
| ~ start_point(A_536,sk25) ),
inference(resolution,[status(thm)],[c_1353,c_194]) ).
tff(c_1534,plain,
! [A_543] :
( ( ax0_sk8(ax2_sk3(sk25)) = A_543 )
| ~ start_point(A_543,sk25) ),
inference(resolution,[status(thm)],[c_273,c_1377]) ).
tff(c_1542,plain,
ax0_sk8(ax2_sk3(sk25)) = ax2_sk6(sk25),
inference(resolution,[status(thm)],[c_166,c_1534]) ).
tff(c_238,plain,
! [A_301,B_302] :
( ~ end_point(A_301,B_302)
| ~ inner_point(A_301,B_302) ),
inference(cnfTransformation,[status(thm)],[f_215]) ).
tff(c_242,plain,
! [A_98] : ~ end_point(ax0_sk8(A_98),A_98),
inference(resolution,[status(thm)],[c_74,c_238]) ).
tff(c_1563,plain,
~ end_point(ax2_sk6(sk25),ax2_sk3(sk25)),
inference(superposition,[status(thm),theory(equality)],[c_1542,c_242]) ).
tff(c_146,plain,
! [A_204] : open(ax2_sk3(A_204)),
inference(cnfTransformation,[status(thm)],[f_652]) ).
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_26,plain,
! [A_38,B_39] :
( incident_c(A_38,B_39)
| ~ end_point(A_38,B_39) ),
inference(cnfTransformation,[status(thm)],[f_141]) ).
tff(c_310,plain,
! [A_337,B_338] :
( incident_o(A_337,B_338)
| ~ end_point(A_337,ax2_sk3(B_338)) ),
inference(resolution,[status(thm)],[c_26,c_264]) ).
tff(c_314,plain,
! [B_338] :
( incident_o(ax0_sk7(ax2_sk3(B_338)),B_338)
| ~ open(ax2_sk3(B_338)) ),
inference(resolution,[status(thm)],[c_66,c_310]) ).
tff(c_321,plain,
! [B_338] : incident_o(ax0_sk7(ax2_sk3(B_338)),B_338),
inference(demodulation,[status(thm),theory(equality)],[c_146,c_314]) ).
tff(c_1667,plain,
! [A_549] :
( ( ax0_sk7(ax2_sk3(sk25)) = A_549 )
| ~ start_point(A_549,sk25) ),
inference(resolution,[status(thm)],[c_321,c_1377]) ).
tff(c_1675,plain,
ax0_sk7(ax2_sk3(sk25)) = ax2_sk6(sk25),
inference(resolution,[status(thm)],[c_166,c_1667]) ).
tff(c_1687,plain,
( end_point(ax2_sk6(sk25),ax2_sk3(sk25))
| ~ open(ax2_sk3(sk25)) ),
inference(superposition,[status(thm),theory(equality)],[c_1675,c_66]) ).
tff(c_1694,plain,
end_point(ax2_sk6(sk25),ax2_sk3(sk25)),
inference(demodulation,[status(thm),theory(equality)],[c_146,c_1687]) ).
tff(c_1696,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1563,c_1694]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : GEO126-1 : TPTP v8.1.2. Released v2.4.0.
% 0.00/0.15 % 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
% 0.14/0.36 % Computer : n018.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 : Fri Aug 4 00:39:06 EDT 2023
% 0.14/0.37 % CPUTime :
% 6.29/2.41 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 6.29/2.42
% 6.29/2.42 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 6.29/2.45
% 6.29/2.45 Inference rules
% 6.29/2.45 ----------------------
% 6.29/2.45 #Ref : 0
% 6.29/2.45 #Sup : 318
% 6.29/2.45 #Fact : 2
% 6.29/2.45 #Define : 0
% 6.29/2.45 #Split : 2
% 6.29/2.45 #Chain : 0
% 6.29/2.45 #Close : 0
% 6.29/2.45
% 6.29/2.45 Ordering : KBO
% 6.29/2.45
% 6.29/2.45 Simplification rules
% 6.29/2.45 ----------------------
% 6.29/2.45 #Subsume : 36
% 6.29/2.45 #Demod : 37
% 6.29/2.45 #Tautology : 59
% 6.29/2.45 #SimpNegUnit : 8
% 6.29/2.45 #BackRed : 11
% 6.29/2.45
% 6.29/2.45 #Partial instantiations: 0
% 6.29/2.45 #Strategies tried : 1
% 6.29/2.45
% 6.29/2.45 Timing (in seconds)
% 6.29/2.45 ----------------------
% 6.29/2.45 Preprocessing : 0.71
% 6.29/2.45 Parsing : 0.38
% 6.29/2.45 CNF conversion : 0.05
% 6.29/2.45 Main loop : 0.67
% 6.29/2.45 Inferencing : 0.27
% 6.29/2.45 Reduction : 0.17
% 6.29/2.45 Demodulation : 0.11
% 6.29/2.45 BG Simplification : 0.05
% 6.29/2.45 Subsumption : 0.15
% 6.29/2.45 Abstraction : 0.02
% 6.29/2.45 MUC search : 0.00
% 6.29/2.45 Cooper : 0.00
% 6.29/2.45 Total : 1.43
% 6.29/2.45 Index Insertion : 0.00
% 6.29/2.45 Index Deletion : 0.00
% 6.29/2.45 Index Matching : 0.00
% 6.29/2.45 BG Taut test : 0.00
%------------------------------------------------------------------------------