TSTP Solution File: SYN298-1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SYN298-1 : TPTP v8.1.2. Released v1.1.0.
% 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 : n015.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 11:10:21 EDT 2023
% Result : Unsatisfiable 37.99s 24.71s
% Output : CNFRefutation 37.99s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 67
% Syntax : Number of formulae : 96 ( 21 unt; 53 typ; 0 def)
% Number of atoms : 77 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 71 ( 37 ~; 34 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 90 ( 48 >; 42 *; 0 +; 0 <<)
% Number of predicates : 49 ( 48 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 49 (; 49 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ r3 > q2 > q1 > p5 > p4 > p3 > p2 > p1 > n1 > m3 > m1 > m0 > k3 > s3 > r5 > q5 > q4 > q3 > q0 > p0 > n5 > n4 > n0 > m5 > m4 > l3 > l2 > l1 > k2 > s5 > s4 > s2 > s1 > s0 > r4 > r2 > r1 > r0 > n3 > n2 > m2 > l5 > l4 > l0 > k5 > k4 > k1 > k0 > #nlpp > e > d > c > b > a
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(n5,type,
n5: ( $i * $i ) > $o ).
tff(p2,type,
p2: ( $i * $i * $i ) > $o ).
tff(m2,type,
m2: $i > $o ).
tff(s5,type,
s5: $i > $o ).
tff(s1,type,
s1: $i > $o ).
tff(m5,type,
m5: ( $i * $i ) > $o ).
tff(q4,type,
q4: ( $i * $i ) > $o ).
tff(m4,type,
m4: ( $i * $i ) > $o ).
tff(a,type,
a: $i ).
tff(k1,type,
k1: $i > $o ).
tff(l1,type,
l1: ( $i * $i ) > $o ).
tff(s0,type,
s0: $i > $o ).
tff(q2,type,
q2: ( $i * $i * $i ) > $o ).
tff(n0,type,
n0: ( $i * $i ) > $o ).
tff(k0,type,
k0: $i > $o ).
tff(m3,type,
m3: ( $i * $i * $i ) > $o ).
tff(r4,type,
r4: $i > $o ).
tff(l0,type,
l0: $i > $o ).
tff(q0,type,
q0: ( $i * $i ) > $o ).
tff(k4,type,
k4: $i > $o ).
tff(m1,type,
m1: ( $i * $i * $i ) > $o ).
tff(b,type,
b: $i ).
tff(p0,type,
p0: ( $i * $i ) > $o ).
tff(r0,type,
r0: $i > $o ).
tff(q1,type,
q1: ( $i * $i * $i ) > $o ).
tff(s4,type,
s4: $i > $o ).
tff(r3,type,
r3: ( $i * $i * $i ) > $o ).
tff(k2,type,
k2: ( $i * $i ) > $o ).
tff(n2,type,
n2: $i > $o ).
tff(s3,type,
s3: ( $i * $i ) > $o ).
tff(l3,type,
l3: ( $i * $i ) > $o ).
tff(p3,type,
p3: ( $i * $i * $i ) > $o ).
tff(p4,type,
p4: ( $i * $i * $i ) > $o ).
tff(s2,type,
s2: $i > $o ).
tff(r5,type,
r5: ( $i * $i ) > $o ).
tff(k3,type,
k3: ( $i * $i * $i ) > $o ).
tff(d,type,
d: $i ).
tff(l2,type,
l2: ( $i * $i ) > $o ).
tff(l4,type,
l4: $i > $o ).
tff(l5,type,
l5: $i > $o ).
tff(k5,type,
k5: $i > $o ).
tff(p5,type,
p5: ( $i * $i * $i ) > $o ).
tff(n4,type,
n4: ( $i * $i ) > $o ).
tff(q3,type,
q3: ( $i * $i ) > $o ).
tff(m0,type,
m0: ( $i * $i * $i ) > $o ).
tff(q5,type,
q5: ( $i * $i ) > $o ).
tff(e,type,
e: $i ).
tff(n1,type,
n1: ( $i * $i * $i ) > $o ).
tff(r1,type,
r1: $i > $o ).
tff(n3,type,
n3: $i > $o ).
tff(r2,type,
r2: $i > $o ).
tff(p1,type,
p1: ( $i * $i * $i ) > $o ).
tff(c,type,
c: $i ).
tff(f_2765,axiom,
! [X] : ~ s3(b,X),
file(unknown,unknown) ).
tff(f_79,axiom,
k0(b),
file(unknown,unknown) ).
tff(f_60,axiom,
n0(a,b),
file(unknown,unknown) ).
tff(f_96,axiom,
! [G,H] :
( l1(G,G)
| ~ n0(H,G) ),
file(unknown,unknown) ).
tff(f_1567,axiom,
! [G,H] :
( q2(G,G,H)
| ~ l1(H,G) ),
file(unknown,unknown) ).
tff(f_63,axiom,
! [X] : q0(X,d),
file(unknown,unknown) ).
tff(f_1081,axiom,
! [F,G,H] :
( s1(F)
| ~ q0(F,G)
| ~ s1(H) ),
file(unknown,unknown) ).
tff(f_59,axiom,
! [X] : p0(b,X),
file(unknown,unknown) ).
tff(f_1073,axiom,
! [I] :
( s1(I)
| ~ p0(I,I) ),
file(unknown,unknown) ).
tff(f_1597,axiom,
! [H] :
( s2(H)
| ~ q2(b,H,b)
| ~ s1(b) ),
file(unknown,unknown) ).
tff(f_761,axiom,
! [B,C] :
( p1(B,B,B)
| ~ p0(C,B) ),
file(unknown,unknown) ).
tff(f_1493,axiom,
! [E,F] :
( q2(E,F,F)
| ~ k0(F)
| ~ p1(E,E,E) ),
file(unknown,unknown) ).
tff(f_78,axiom,
m0(b,b,e),
file(unknown,unknown) ).
tff(f_2297,axiom,
! [I,J,A,B] :
( s3(I,J)
| ~ q2(A,I,A)
| ~ s2(I)
| ~ m0(A,B,J) ),
file(unknown,unknown) ).
tff(c_738,plain,
! [X_627] : ~ s3(b,X_627),
inference(cnfTransformation,[status(thm)],[f_2765]) ).
tff(c_64,plain,
k0(b),
inference(cnfTransformation,[status(thm)],[f_79]) ).
tff(c_30,plain,
n0(a,b),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_14360,plain,
! [H_2655,G_2656] :
( ~ n0(H_2655,G_2656)
| l1(G_2656,G_2656) ),
inference(cnfTransformation,[status(thm)],[f_96]) ).
tff(c_14377,plain,
l1(b,b),
inference(resolution,[status(thm)],[c_30,c_14360]) ).
tff(c_448,plain,
! [H_339,G_338] :
( ~ l1(H_339,G_338)
| q2(G_338,G_338,H_339) ),
inference(cnfTransformation,[status(thm)],[f_1567]) ).
tff(c_34,plain,
! [X_3] : q0(X_3,d),
inference(cnfTransformation,[status(thm)],[f_63]) ).
tff(c_328,plain,
! [H_236,F_234,G_235] :
( ~ s1(H_236)
| ~ q0(F_234,G_235)
| s1(F_234) ),
inference(cnfTransformation,[status(thm)],[f_1081]) ).
tff(c_93100,plain,
! [H_236] : ~ s1(H_236),
inference(splitLeft,[status(thm)],[c_328]) ).
tff(c_28,plain,
! [X_2] : p0(b,X_2),
inference(cnfTransformation,[status(thm)],[f_59]) ).
tff(c_1417,plain,
! [I_757] :
( ~ p0(I_757,I_757)
| s1(I_757) ),
inference(cnfTransformation,[status(thm)],[f_1073]) ).
tff(c_1422,plain,
s1(b),
inference(resolution,[status(thm)],[c_28,c_1417]) ).
tff(c_93104,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_93100,c_1422]) ).
tff(c_93106,plain,
! [F_12152,G_12153] :
( ~ q0(F_12152,G_12153)
| s1(F_12152) ),
inference(splitRight,[status(thm)],[c_328]) ).
tff(c_93129,plain,
! [X_3] : s1(X_3),
inference(resolution,[status(thm)],[c_34,c_93106]) ).
tff(c_454,plain,
! [H_345] :
( ~ s1(b)
| ~ q2(b,H_345,b)
| s2(H_345) ),
inference(cnfTransformation,[status(thm)],[f_1597]) ).
tff(c_94825,plain,
! [H_12408] :
( ~ q2(b,H_12408,b)
| s2(H_12408) ),
inference(demodulation,[status(thm),theory(equality)],[c_93129,c_454]) ).
tff(c_94829,plain,
( s2(b)
| ~ l1(b,b) ),
inference(resolution,[status(thm)],[c_448,c_94825]) ).
tff(c_94832,plain,
s2(b),
inference(demodulation,[status(thm),theory(equality)],[c_14377,c_94829]) ).
tff(c_93282,plain,
! [C_12166,B_12167] :
( ~ p0(C_12166,B_12167)
| p1(B_12167,B_12167,B_12167) ),
inference(cnfTransformation,[status(thm)],[f_761]) ).
tff(c_93289,plain,
! [X_2] : p1(X_2,X_2,X_2),
inference(resolution,[status(thm)],[c_28,c_93282]) ).
tff(c_430,plain,
! [E_320,F_321] :
( ~ p1(E_320,E_320,E_320)
| ~ k0(F_321)
| q2(E_320,F_321,F_321) ),
inference(cnfTransformation,[status(thm)],[f_1493]) ).
tff(c_113280,plain,
! [F_321,E_320] :
( ~ k0(F_321)
| q2(E_320,F_321,F_321) ),
inference(demodulation,[status(thm),theory(equality)],[c_93289,c_430]) ).
tff(c_62,plain,
m0(b,b,e),
inference(cnfTransformation,[status(thm)],[f_78]) ).
tff(c_117647,plain,
! [A_14693,B_14694,J_14695,I_14696] :
( ~ m0(A_14693,B_14694,J_14695)
| ~ s2(I_14696)
| ~ q2(A_14693,I_14696,A_14693)
| s3(I_14696,J_14695) ),
inference(cnfTransformation,[status(thm)],[f_2297]) ).
tff(c_117740,plain,
! [I_14703] :
( ~ s2(I_14703)
| ~ q2(b,I_14703,b)
| s3(I_14703,e) ),
inference(resolution,[status(thm)],[c_62,c_117647]) ).
tff(c_117744,plain,
( ~ s2(b)
| s3(b,e)
| ~ k0(b) ),
inference(resolution,[status(thm)],[c_113280,c_117740]) ).
tff(c_117759,plain,
s3(b,e),
inference(demodulation,[status(thm),theory(equality)],[c_64,c_94832,c_117744]) ).
tff(c_117761,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_738,c_117759]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SYN298-1 : TPTP v8.1.2. Released v1.1.0.
% 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
% 0.14/0.36 % Computer : n015.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 : Thu Aug 3 17:35:29 EDT 2023
% 0.14/0.36 % CPUTime :
% 37.99/24.71 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 37.99/24.72
% 37.99/24.72 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 37.99/24.75
% 37.99/24.75 Inference rules
% 37.99/24.75 ----------------------
% 37.99/24.75 #Ref : 0
% 37.99/24.75 #Sup : 20445
% 37.99/24.75 #Fact : 0
% 37.99/24.75 #Define : 0
% 37.99/24.75 #Split : 2112
% 37.99/24.75 #Chain : 0
% 37.99/24.75 #Close : 0
% 37.99/24.75
% 37.99/24.75 Ordering : KBO
% 37.99/24.75
% 37.99/24.75 Simplification rules
% 37.99/24.75 ----------------------
% 37.99/24.75 #Subsume : 5955
% 37.99/24.75 #Demod : 22957
% 37.99/24.75 #Tautology : 15012
% 37.99/24.75 #SimpNegUnit : 1531
% 37.99/24.75 #BackRed : 1657
% 37.99/24.75
% 37.99/24.75 #Partial instantiations: 0
% 37.99/24.75 #Strategies tried : 1
% 37.99/24.75
% 37.99/24.75 Timing (in seconds)
% 37.99/24.75 ----------------------
% 38.18/24.76 Preprocessing : 1.03
% 38.18/24.76 Parsing : 0.55
% 38.18/24.76 CNF conversion : 0.09
% 38.18/24.76 Main loop : 22.61
% 38.18/24.76 Inferencing : 6.90
% 38.18/24.76 Reduction : 9.07
% 38.18/24.76 Demodulation : 6.22
% 38.18/24.76 BG Simplification : 0.18
% 38.18/24.76 Subsumption : 4.69
% 38.18/24.76 Abstraction : 0.21
% 38.18/24.76 MUC search : 0.00
% 38.18/24.76 Cooper : 0.00
% 38.18/24.76 Total : 23.71
% 38.18/24.76 Index Insertion : 0.00
% 38.18/24.76 Index Deletion : 0.00
% 38.18/24.76 Index Matching : 0.00
% 38.18/24.76 BG Taut test : 0.00
%------------------------------------------------------------------------------