TSTP Solution File: SYN117-1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SYN117-1 : 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/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 : n008.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 11:09:40 EDT 2023
% Result : Unsatisfiable 11.51s 3.81s
% Output : CNFRefutation 11.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 66
% Syntax : Number of formulae : 96 ( 21 unt; 53 typ; 0 def)
% Number of atoms : 71 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 62 ( 34 ~; 28 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 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 : 59 (; 59 !; 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_59,axiom,
! [X] : p0(b,X),
file(unknown,unknown) ).
tff(f_761,axiom,
! [B,C] :
( p1(B,B,B)
| ~ p0(C,B) ),
file(unknown,unknown) ).
tff(f_1169,axiom,
! [A,B,C] :
( n2(A)
| ~ p1(B,C,A) ),
file(unknown,unknown) ).
tff(f_77,axiom,
n0(e,e),
file(unknown,unknown) ).
tff(f_91,axiom,
! [I,J] :
( k1(I)
| ~ n0(J,I) ),
file(unknown,unknown) ).
tff(f_1475,axiom,
! [H] :
( p2(H,H,H)
| ~ n2(H)
| ~ k1(e) ),
file(unknown,unknown) ).
tff(f_2231,axiom,
! [B,C,D] :
( r3(B,C,B)
| ~ p2(B,D,C) ),
file(unknown,unknown) ).
tff(f_2042,axiom,
! [H] :
( p3(H,H,H)
| ~ n2(H) ),
file(unknown,unknown) ).
tff(f_1112,axiom,
( k2(e,e)
| ~ l1(e,e) ),
file(unknown,unknown) ).
tff(f_96,axiom,
! [G,H] :
( l1(G,G)
| ~ n0(H,G) ),
file(unknown,unknown) ).
tff(f_2530,axiom,
! [E,F,G] :
( k5(E)
| ~ s4(F)
| ~ r3(G,E,E) ),
file(unknown,unknown) ).
tff(f_2522,axiom,
! [A,B,C,D] :
( s4(A)
| ~ p3(B,C,D)
| ~ l1(A,C) ),
file(unknown,unknown) ).
tff(f_2764,axiom,
~ k5(e),
file(unknown,unknown) ).
tff(c_28,plain,
! [X_2] : p0(b,X_2),
inference(cnfTransformation,[status(thm)],[f_59]) ).
tff(c_4237,plain,
! [C_1154,B_1155] :
( ~ p0(C_1154,B_1155)
| p1(B_1155,B_1155,B_1155) ),
inference(cnfTransformation,[status(thm)],[f_761]) ).
tff(c_4254,plain,
! [X_1156] : p1(X_1156,X_1156,X_1156),
inference(resolution,[status(thm)],[c_28,c_4237]) ).
tff(c_350,plain,
! [B_257,C_258,A_256] :
( ~ p1(B_257,C_258,A_256)
| n2(A_256) ),
inference(cnfTransformation,[status(thm)],[f_1169]) ).
tff(c_4258,plain,
! [X_1156] : n2(X_1156),
inference(resolution,[status(thm)],[c_4254,c_350]) ).
tff(c_60,plain,
n0(e,e),
inference(cnfTransformation,[status(thm)],[f_77]) ).
tff(c_1132,plain,
! [J_710,I_711] :
( ~ n0(J_710,I_711)
| k1(I_711) ),
inference(cnfTransformation,[status(thm)],[f_91]) ).
tff(c_1162,plain,
k1(e),
inference(resolution,[status(thm)],[c_60,c_1132]) ).
tff(c_424,plain,
! [H_315] :
( ~ k1(e)
| ~ n2(H_315)
| p2(H_315,H_315,H_315) ),
inference(cnfTransformation,[status(thm)],[f_1475]) ).
tff(c_5000,plain,
! [H_1277] : p2(H_1277,H_1277,H_1277),
inference(demodulation,[status(thm),theory(equality)],[c_4258,c_1162,c_424]) ).
tff(c_610,plain,
! [B_491,D_493,C_492] :
( ~ p2(B_491,D_493,C_492)
| r3(B_491,C_492,B_491) ),
inference(cnfTransformation,[status(thm)],[f_2231]) ).
tff(c_5006,plain,
! [H_1277] : r3(H_1277,H_1277,H_1277),
inference(resolution,[status(thm)],[c_5000,c_610]) ).
tff(c_564,plain,
! [H_442] :
( ~ n2(H_442)
| p3(H_442,H_442,H_442) ),
inference(cnfTransformation,[status(thm)],[f_2042]) ).
tff(c_4271,plain,
! [H_442] : p3(H_442,H_442,H_442),
inference(demodulation,[status(thm),theory(equality)],[c_4258,c_564]) ).
tff(c_336,plain,
( ~ l1(e,e)
| k2(e,e) ),
inference(cnfTransformation,[status(thm)],[f_1112]) ).
tff(c_1185,plain,
~ l1(e,e),
inference(splitLeft,[status(thm)],[c_336]) ).
tff(c_1197,plain,
! [H_725,G_726] :
( ~ n0(H_725,G_726)
| l1(G_726,G_726) ),
inference(cnfTransformation,[status(thm)],[f_96]) ).
tff(c_1205,plain,
l1(e,e),
inference(resolution,[status(thm)],[c_60,c_1197]) ).
tff(c_1220,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1185,c_1205]) ).
tff(c_1222,plain,
l1(e,e),
inference(splitRight,[status(thm)],[c_336]) ).
tff(c_676,plain,
! [G_574,E_572,F_573] :
( ~ r3(G_574,E_572,E_572)
| ~ s4(F_573)
| k5(E_572) ),
inference(cnfTransformation,[status(thm)],[f_2530]) ).
tff(c_5086,plain,
! [F_573] : ~ s4(F_573),
inference(splitLeft,[status(thm)],[c_676]) ).
tff(c_674,plain,
! [A_568,C_570,B_569,D_571] :
( ~ l1(A_568,C_570)
| ~ p3(B_569,C_570,D_571)
| s4(A_568) ),
inference(cnfTransformation,[status(thm)],[f_2522]) ).
tff(c_5267,plain,
! [A_1319,C_1320,B_1321,D_1322] :
( ~ l1(A_1319,C_1320)
| ~ p3(B_1321,C_1320,D_1322) ),
inference(negUnitSimplification,[status(thm)],[c_5086,c_674]) ).
tff(c_5283,plain,
! [B_1323,D_1324] : ~ p3(B_1323,e,D_1324),
inference(resolution,[status(thm)],[c_1222,c_5267]) ).
tff(c_5288,plain,
$false,
inference(resolution,[status(thm)],[c_4271,c_5283]) ).
tff(c_5290,plain,
! [G_1325,E_1326] :
( ~ r3(G_1325,E_1326,E_1326)
| k5(E_1326) ),
inference(splitRight,[status(thm)],[c_676]) ).
tff(c_5294,plain,
! [H_1277] : k5(H_1277),
inference(resolution,[status(thm)],[c_5006,c_5290]) ).
tff(c_738,plain,
~ k5(e),
inference(cnfTransformation,[status(thm)],[f_2764]) ).
tff(c_5298,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_5294,c_738]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN117-1 : TPTP v8.1.2. Released v1.1.0.
% 0.00/0.13 % 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
% 0.14/0.35 % Computer : n008.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Thu Aug 3 17:30:48 EDT 2023
% 0.21/0.35 % CPUTime :
% 11.51/3.81 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 11.54/3.81
% 11.54/3.81 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 11.54/3.84
% 11.54/3.84 Inference rules
% 11.54/3.84 ----------------------
% 11.54/3.84 #Ref : 0
% 11.54/3.84 #Sup : 772
% 11.54/3.84 #Fact : 0
% 11.54/3.84 #Define : 0
% 11.54/3.84 #Split : 96
% 11.54/3.84 #Chain : 0
% 11.54/3.84 #Close : 0
% 11.54/3.84
% 11.54/3.84 Ordering : KBO
% 11.54/3.84
% 11.54/3.84 Simplification rules
% 11.54/3.84 ----------------------
% 11.54/3.84 #Subsume : 84
% 11.54/3.84 #Demod : 1025
% 11.54/3.84 #Tautology : 874
% 11.54/3.84 #SimpNegUnit : 41
% 11.54/3.84 #BackRed : 68
% 11.54/3.84
% 11.54/3.84 #Partial instantiations: 0
% 11.54/3.84 #Strategies tried : 1
% 11.54/3.84
% 11.54/3.84 Timing (in seconds)
% 11.54/3.84 ----------------------
% 11.54/3.85 Preprocessing : 1.03
% 11.54/3.85 Parsing : 0.57
% 11.54/3.85 CNF conversion : 0.09
% 11.54/3.85 Main loop : 1.76
% 11.54/3.85 Inferencing : 0.50
% 11.54/3.85 Reduction : 0.63
% 11.54/3.85 Demodulation : 0.40
% 11.54/3.85 BG Simplification : 0.11
% 11.54/3.85 Subsumption : 0.36
% 11.54/3.85 Abstraction : 0.04
% 11.54/3.85 MUC search : 0.00
% 11.54/3.85 Cooper : 0.00
% 11.54/3.85 Total : 2.85
% 11.54/3.85 Index Insertion : 0.00
% 11.54/3.85 Index Deletion : 0.00
% 11.54/3.85 Index Matching : 0.00
% 11.54/3.85 BG Taut test : 0.00
%------------------------------------------------------------------------------