TSTP Solution File: GEO127-1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GEO127-1 : 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 : n019.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 2.39s
% Output : CNFRefutation 6.29s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 58
% Syntax : Number of formulae : 105 ( 28 unt; 42 typ; 0 def)
% Number of atoms : 106 ( 9 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 90 ( 47 ~; 43 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 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 : 29 ( 29 usr; 3 con; 0-5 aty)
% Number of variables : 67 (; 67 !; 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 > sk27 > sk26 > 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(sk26,type,
sk26: $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(sk27,type,
sk27: $i ).
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_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_725,axiom,
! [A] : start_point(ax2_sk6(A),A),
file(unknown,unknown) ).
tff(f_879,axiom,
! [A] :
( ~ ordered_by(sk25,A,sk26)
| ~ incident_o(sk26,sk25) ),
file(unknown,unknown) ).
tff(f_849,axiom,
( incident_o(sk26,sk25)
| ordered_by(sk25,sk26,sk27)
| ordered_by(sk25,sk27,sk26) ),
file(unknown,unknown) ).
tff(f_645,axiom,
! [A,B,C] :
( ~ ordered_by(A,B,C)
| incident_o(B,A) ),
file(unknown,unknown) ).
tff(f_650,axiom,
! [A,B,C] :
( ~ ordered_by(A,B,C)
| incident_o(C,A) ),
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_873,axiom,
! [A] :
( ~ ordered_by(sk25,sk26,A)
| ~ incident_o(sk26,sk25) ),
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_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_141,axiom,
! [A,B] :
( ~ end_point(A,B)
| incident_c(A,B) ),
file(unknown,unknown) ).
tff(c_74,plain,
! [A_98] : inner_point(ax0_sk8(A_98),A_98),
inference(cnfTransformation,[status(thm)],[f_347]) ).
tff(c_247,plain,
! [A_301,B_302] :
( incident_c(A_301,B_302)
| ~ inner_point(A_301,B_302) ),
inference(cnfTransformation,[status(thm)],[f_209]) ).
tff(c_251,plain,
! [A_98] : incident_c(ax0_sk8(A_98),A_98),
inference(resolution,[status(thm)],[c_74,c_247]) ).
tff(c_284,plain,
! [A_322,B_323] :
( incident_o(A_322,B_323)
| ~ incident_c(A_322,ax2_sk3(B_323)) ),
inference(cnfTransformation,[status(thm)],[f_662]) ).
tff(c_294,plain,
! [B_323] : incident_o(ax0_sk8(ax2_sk3(B_323)),B_323),
inference(resolution,[status(thm)],[c_251,c_284]) ).
tff(c_166,plain,
! [A_243] : start_point(ax2_sk6(A_243),A_243),
inference(cnfTransformation,[status(thm)],[f_725]) ).
tff(c_204,plain,
! [A_280] :
( ~ incident_o(sk26,sk25)
| ~ ordered_by(sk25,A_280,sk26) ),
inference(cnfTransformation,[status(thm)],[f_879]) ).
tff(c_296,plain,
~ incident_o(sk26,sk25),
inference(splitLeft,[status(thm)],[c_204]) ).
tff(c_194,plain,
( ordered_by(sk25,sk27,sk26)
| ordered_by(sk25,sk26,sk27)
| incident_o(sk26,sk25) ),
inference(cnfTransformation,[status(thm)],[f_849]) ).
tff(c_686,plain,
( ordered_by(sk25,sk27,sk26)
| ordered_by(sk25,sk26,sk27) ),
inference(negUnitSimplification,[status(thm)],[c_296,c_194]) ).
tff(c_687,plain,
ordered_by(sk25,sk26,sk27),
inference(splitLeft,[status(thm)],[c_686]) ).
tff(c_142,plain,
! [B_199,A_198,C_200] :
( incident_o(B_199,A_198)
| ~ ordered_by(A_198,B_199,C_200) ),
inference(cnfTransformation,[status(thm)],[f_645]) ).
tff(c_690,plain,
incident_o(sk26,sk25),
inference(resolution,[status(thm)],[c_687,c_142]) ).
tff(c_697,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_296,c_690]) ).
tff(c_698,plain,
ordered_by(sk25,sk27,sk26),
inference(splitRight,[status(thm)],[c_686]) ).
tff(c_144,plain,
! [C_203,A_201,B_202] :
( incident_o(C_203,A_201)
| ~ ordered_by(A_201,B_202,C_203) ),
inference(cnfTransformation,[status(thm)],[f_650]) ).
tff(c_705,plain,
incident_o(sk26,sk25),
inference(resolution,[status(thm)],[c_698,c_144]) ).
tff(c_710,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_296,c_705]) ).
tff(c_712,plain,
incident_o(sk26,sk25),
inference(splitRight,[status(thm)],[c_204]) ).
tff(c_1300,plain,
! [B_550,A_551,C_552] :
( ordered_by(B_550,A_551,C_552)
| ~ incident_o(C_552,B_550)
| ( C_552 = A_551 )
| ~ start_point(A_551,B_550) ),
inference(cnfTransformation,[status(thm)],[f_579]) ).
tff(c_711,plain,
! [A_280] : ~ ordered_by(sk25,A_280,sk26),
inference(splitRight,[status(thm)],[c_204]) ).
tff(c_1311,plain,
! [A_551] :
( ~ incident_o(sk26,sk25)
| ( sk26 = A_551 )
| ~ start_point(A_551,sk25) ),
inference(resolution,[status(thm)],[c_1300,c_711]) ).
tff(c_1321,plain,
! [A_553] :
( ( sk26 = A_553 )
| ~ start_point(A_553,sk25) ),
inference(demodulation,[status(thm),theory(equality)],[c_712,c_1311]) ).
tff(c_1331,plain,
ax2_sk6(sk25) = sk26,
inference(resolution,[status(thm)],[c_166,c_1321]) ).
tff(c_1341,plain,
start_point(sk26,sk25),
inference(superposition,[status(thm),theory(equality)],[c_1331,c_166]) ).
tff(c_202,plain,
! [A_279] :
( ~ incident_o(sk26,sk25)
| ~ ordered_by(sk25,sk26,A_279) ),
inference(cnfTransformation,[status(thm)],[f_873]) ).
tff(c_717,plain,
! [A_279] : ~ ordered_by(sk25,sk26,A_279),
inference(demodulation,[status(thm),theory(equality)],[c_712,c_202]) ).
tff(c_1315,plain,
! [C_552] :
( ~ incident_o(C_552,sk25)
| ( sk26 = C_552 )
| ~ start_point(sk26,sk25) ),
inference(resolution,[status(thm)],[c_1300,c_717]) ).
tff(c_1359,plain,
! [C_554] :
( ~ incident_o(C_554,sk25)
| ( sk26 = C_554 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_1341,c_1315]) ).
tff(c_1431,plain,
ax0_sk8(ax2_sk3(sk25)) = sk26,
inference(resolution,[status(thm)],[c_294,c_1359]) ).
tff(c_252,plain,
! [A_303,B_304] :
( ~ end_point(A_303,B_304)
| ~ inner_point(A_303,B_304) ),
inference(cnfTransformation,[status(thm)],[f_215]) ).
tff(c_256,plain,
! [A_98] : ~ end_point(ax0_sk8(A_98),A_98),
inference(resolution,[status(thm)],[c_74,c_252]) ).
tff(c_1513,plain,
~ end_point(sk26,ax2_sk3(sk25)),
inference(superposition,[status(thm),theory(equality)],[c_1431,c_256]) ).
tff(c_146,plain,
! [A_204] : open(ax2_sk3(A_204)),
inference(cnfTransformation,[status(thm)],[f_652]) ).
tff(c_222,plain,
! [A_295] :
( end_point(ax0_sk7(A_295),A_295)
| ~ open(A_295) ),
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_231,plain,
! [A_296] :
( ~ closed(A_296)
| ~ open(A_296) ),
inference(resolution,[status(thm)],[c_222,c_62]) ).
tff(c_239,plain,
! [A_204] : ~ closed(ax2_sk3(A_204)),
inference(resolution,[status(thm)],[c_146,c_231]) ).
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_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_730,plain,
! [A_426,B_427] :
( incident_o(A_426,B_427)
| ~ end_point(A_426,ax2_sk3(B_427)) ),
inference(resolution,[status(thm)],[c_26,c_284]) ).
tff(c_738,plain,
! [B_427] :
( incident_o(ax0_sk6(ax2_sk3(B_427)),B_427)
| closed(ax2_sk3(B_427)) ),
inference(resolution,[status(thm)],[c_64,c_730]) ).
tff(c_744,plain,
! [B_427] : incident_o(ax0_sk6(ax2_sk3(B_427)),B_427),
inference(negUnitSimplification,[status(thm)],[c_239,c_738]) ).
tff(c_1427,plain,
ax0_sk6(ax2_sk3(sk25)) = sk26,
inference(resolution,[status(thm)],[c_744,c_1359]) ).
tff(c_1445,plain,
( closed(ax2_sk3(sk25))
| end_point(sk26,ax2_sk3(sk25)) ),
inference(superposition,[status(thm),theory(equality)],[c_1427,c_64]) ).
tff(c_1451,plain,
end_point(sk26,ax2_sk3(sk25)),
inference(negUnitSimplification,[status(thm)],[c_239,c_1445]) ).
tff(c_1554,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1513,c_1451]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : GEO127-1 : TPTP v8.1.2. Released v2.4.0.
% 0.00/0.14 % 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
% 0.13/0.35 % Computer : n019.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Fri Aug 4 00:33:46 EDT 2023
% 0.13/0.35 % CPUTime :
% 6.29/2.39 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 6.29/2.40
% 6.29/2.40 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 6.29/2.43
% 6.29/2.43 Inference rules
% 6.29/2.43 ----------------------
% 6.29/2.43 #Ref : 0
% 6.29/2.43 #Sup : 286
% 6.29/2.43 #Fact : 0
% 6.29/2.43 #Define : 0
% 6.29/2.43 #Split : 3
% 6.29/2.43 #Chain : 0
% 6.29/2.43 #Close : 0
% 6.29/2.43
% 6.29/2.43 Ordering : KBO
% 6.29/2.43
% 6.29/2.43 Simplification rules
% 6.29/2.43 ----------------------
% 6.29/2.43 #Subsume : 27
% 6.29/2.43 #Demod : 34
% 6.29/2.43 #Tautology : 70
% 6.29/2.43 #SimpNegUnit : 10
% 6.29/2.43 #BackRed : 0
% 6.29/2.43
% 6.29/2.43 #Partial instantiations: 0
% 6.29/2.43 #Strategies tried : 1
% 6.29/2.43
% 6.29/2.43 Timing (in seconds)
% 6.29/2.43 ----------------------
% 6.55/2.44 Preprocessing : 0.74
% 6.55/2.44 Parsing : 0.39
% 6.55/2.44 CNF conversion : 0.05
% 6.55/2.44 Main loop : 0.63
% 6.55/2.44 Inferencing : 0.24
% 6.55/2.44 Reduction : 0.17
% 6.55/2.44 Demodulation : 0.11
% 6.55/2.44 BG Simplification : 0.05
% 6.55/2.44 Subsumption : 0.13
% 6.55/2.44 Abstraction : 0.02
% 6.55/2.44 MUC search : 0.00
% 6.55/2.44 Cooper : 0.00
% 6.55/2.44 Total : 1.43
% 6.55/2.44 Index Insertion : 0.00
% 6.55/2.44 Index Deletion : 0.00
% 6.55/2.44 Index Matching : 0.00
% 6.55/2.44 BG Taut test : 0.00
%------------------------------------------------------------------------------