TSTP Solution File: SYN582-1 by Beagle---0.9.51
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%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SYN582-1 : TPTP v8.1.2. Released v2.5.0.
% 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 : n025.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 11:11:22 EDT 2023
% Result : Unsatisfiable 52.62s 40.76s
% Output : CNFRefutation 52.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 25
% Syntax : Number of formulae : 39 ( 11 unt; 17 typ; 0 def)
% Number of atoms : 41 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 41 ( 22 ~; 19 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 19 ( 11 >; 8 *; 0 +; 0 <<)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 6 con; 0-2 aty)
% Number of variables : 30 (; 30 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ p10 > p7 > p5 > p2 > p12 > p11 > f6 > #nlpp > f9 > f8 > f4 > f3 > c18 > c17 > c16 > c15 > c14 > c13
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(f3,type,
f3: $i > $i ).
tff(c16,type,
c16: $i ).
tff(p2,type,
p2: ( $i * $i ) > $o ).
tff(c14,type,
c14: $i ).
tff(p10,type,
p10: ( $i * $i * $i ) > $o ).
tff(c17,type,
c17: $i ).
tff(p11,type,
p11: ( $i * $i ) > $o ).
tff(p5,type,
p5: ( $i * $i ) > $o ).
tff(c15,type,
c15: $i ).
tff(f9,type,
f9: $i > $i ).
tff(c18,type,
c18: $i ).
tff(f8,type,
f8: $i > $i ).
tff(f4,type,
f4: $i > $i ).
tff(c13,type,
c13: $i ).
tff(p7,type,
p7: ( $i * $i ) > $o ).
tff(p12,type,
p12: ( $i * $i ) > $o ).
tff(f6,type,
f6: ( $i * $i ) > $i ).
tff(f_29,axiom,
p2(c13,c18),
file(unknown,unknown) ).
tff(f_27,axiom,
! [X31] : p5(X31,X31),
file(unknown,unknown) ).
tff(f_133,axiom,
! [X25,X26,X27,X28] :
( p2(f6(X25,X26),f6(X27,X28))
| ~ p2(X26,X28)
| ~ p5(X25,X27) ),
file(unknown,unknown) ).
tff(f_59,axiom,
! [X23,X24] :
( p2(f4(X23),f4(X24))
| ~ p2(X23,X24) ),
file(unknown,unknown) ).
tff(f_25,axiom,
! [X18] : p2(X18,X18),
file(unknown,unknown) ).
tff(f_31,axiom,
p11(f4(f6(c15,c13)),c16),
file(unknown,unknown) ).
tff(f_114,axiom,
! [X7,X8,X9,X10] :
( p11(X7,X8)
| ~ p2(X9,X7)
| ~ p2(X10,X8)
| ~ p11(X9,X10) ),
file(unknown,unknown) ).
tff(f_34,axiom,
~ p11(f4(f6(c15,c18)),c16),
file(unknown,unknown) ).
tff(c_10,plain,
p2(c13,c18),
inference(cnfTransformation,[status(thm)],[f_29]) ).
tff(c_6,plain,
! [X31_3] : p5(X31_3,X31_3),
inference(cnfTransformation,[status(thm)],[f_27]) ).
tff(c_46,plain,
! [X25_36,X27_38,X26_37,X28_39] :
( ~ p5(X25_36,X27_38)
| ~ p2(X26_37,X28_39)
| p2(f6(X25_36,X26_37),f6(X27_38,X28_39)) ),
inference(cnfTransformation,[status(thm)],[f_133]) ).
tff(c_28,plain,
! [X23_12,X24_13] :
( ~ p2(X23_12,X24_13)
| p2(f4(X23_12),f4(X24_13)) ),
inference(cnfTransformation,[status(thm)],[f_59]) ).
tff(c_4,plain,
! [X18_2] : p2(X18_2,X18_2),
inference(cnfTransformation,[status(thm)],[f_25]) ).
tff(c_14,plain,
p11(f4(f6(c15,c13)),c16),
inference(cnfTransformation,[status(thm)],[f_31]) ).
tff(c_246,plain,
! [X9_95,X10_96,X8_97,X7_98] :
( ~ p11(X9_95,X10_96)
| ~ p2(X10_96,X8_97)
| ~ p2(X9_95,X7_98)
| p11(X7_98,X8_97) ),
inference(cnfTransformation,[status(thm)],[f_114]) ).
tff(c_1353,plain,
! [X8_175,X7_176] :
( ~ p2(c16,X8_175)
| ~ p2(f4(f6(c15,c13)),X7_176)
| p11(X7_176,X8_175) ),
inference(resolution,[status(thm)],[c_14,c_246]) ).
tff(c_1378,plain,
! [X7_177] :
( ~ p2(f4(f6(c15,c13)),X7_177)
| p11(X7_177,c16) ),
inference(resolution,[status(thm)],[c_4,c_1353]) ).
tff(c_1452,plain,
! [X24_179] :
( p11(f4(X24_179),c16)
| ~ p2(f6(c15,c13),X24_179) ),
inference(resolution,[status(thm)],[c_28,c_1378]) ).
tff(c_156651,plain,
! [X27_1649,X28_1650] :
( p11(f4(f6(X27_1649,X28_1650)),c16)
| ~ p5(c15,X27_1649)
| ~ p2(c13,X28_1650) ),
inference(resolution,[status(thm)],[c_46,c_1452]) ).
tff(c_18,plain,
~ p11(f4(f6(c15,c18)),c16),
inference(cnfTransformation,[status(thm)],[f_34]) ).
tff(c_156656,plain,
( ~ p5(c15,c15)
| ~ p2(c13,c18) ),
inference(resolution,[status(thm)],[c_156651,c_18]) ).
tff(c_156661,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_10,c_6,c_156656]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SYN582-1 : TPTP v8.1.2. Released v2.5.0.
% 0.00/0.14 % 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
% 0.17/0.35 % Computer : n025.cluster.edu
% 0.17/0.35 % Model : x86_64 x86_64
% 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.35 % Memory : 8042.1875MB
% 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.35 % CPULimit : 300
% 0.17/0.35 % WCLimit : 300
% 0.17/0.35 % DateTime : Thu Aug 3 17:34:34 EDT 2023
% 0.17/0.35 % CPUTime :
% 52.62/40.76 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 52.62/40.77
% 52.62/40.77 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 52.62/40.80
% 52.62/40.80 Inference rules
% 52.62/40.80 ----------------------
% 52.62/40.80 #Ref : 0
% 52.62/40.80 #Sup : 44125
% 52.62/40.80 #Fact : 18
% 52.62/40.80 #Define : 0
% 52.62/40.80 #Split : 125
% 52.62/40.80 #Chain : 0
% 52.62/40.80 #Close : 0
% 52.62/40.80
% 52.62/40.80 Ordering : KBO
% 52.62/40.80
% 52.62/40.80 Simplification rules
% 52.62/40.80 ----------------------
% 52.62/40.80 #Subsume : 10040
% 52.62/40.80 #Demod : 4841
% 52.62/40.80 #Tautology : 1638
% 52.62/40.80 #SimpNegUnit : 669
% 52.62/40.80 #BackRed : 0
% 52.62/40.80
% 52.62/40.80 #Partial instantiations: 0
% 52.62/40.80 #Strategies tried : 1
% 52.62/40.80
% 52.62/40.80 Timing (in seconds)
% 52.62/40.80 ----------------------
% 52.62/40.80 Preprocessing : 0.47
% 52.62/40.80 Parsing : 0.26
% 52.62/40.80 CNF conversion : 0.03
% 52.62/40.80 Main loop : 39.28
% 52.62/40.80 Inferencing : 3.31
% 52.62/40.80 Reduction : 8.15
% 52.62/40.80 Demodulation : 4.57
% 52.62/40.80 BG Simplification : 0.20
% 52.62/40.80 Subsumption : 23.29
% 52.62/40.80 Abstraction : 0.31
% 52.62/40.80 MUC search : 0.00
% 52.62/40.80 Cooper : 0.00
% 52.62/40.80 Total : 39.80
% 52.62/40.80 Index Insertion : 0.00
% 52.62/40.81 Index Deletion : 0.00
% 52.62/40.81 Index Matching : 0.00
% 52.62/40.81 BG Taut test : 0.00
%------------------------------------------------------------------------------