TSTP Solution File: SYN266-1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SYN266-1 : 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 : 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 11:10:15 EDT 2023
% Result : Unsatisfiable 22.01s 10.49s
% Output : CNFRefutation 22.01s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 70
% Syntax : Number of formulae : 114 ( 26 unt; 53 typ; 0 def)
% Number of atoms : 109 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 103 ( 55 ~; 48 |; 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 : 75 (; 75 !; 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_57,axiom,
r0(e),
file(unknown,unknown) ).
tff(f_59,axiom,
! [X] : p0(b,X),
file(unknown,unknown) ).
tff(f_136,axiom,
! [G,H,I] :
( m1(G,H,G)
| ~ p0(I,H)
| ~ r0(G) ),
file(unknown,unknown) ).
tff(f_1485,axiom,
! [D,E] :
( p2(D,E,D)
| ~ m1(E,D,E) ),
file(unknown,unknown) ).
tff(f_1323,axiom,
! [H,I,J] :
( p2(H,I,I)
| ~ k1(J)
| ~ p2(e,H,I) ),
file(unknown,unknown) ).
tff(f_84,axiom,
n0(b,a),
file(unknown,unknown) ).
tff(f_91,axiom,
! [I,J] :
( k1(I)
| ~ n0(J,I) ),
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_1972,axiom,
! [D] :
( m3(D,e,e)
| ~ n2(e)
| ~ p2(D,e,e) ),
file(unknown,unknown) ).
tff(f_2764,axiom,
~ p3(b,e,e),
file(unknown,unknown) ).
tff(f_52,axiom,
r0(b),
file(unknown,unknown) ).
tff(f_75,axiom,
k0(e),
file(unknown,unknown) ).
tff(f_748,axiom,
! [F,G] :
( p1(F,b,G)
| ~ m1(F,G,b)
| ~ k0(G) ),
file(unknown,unknown) ).
tff(f_1248,axiom,
! [G,H] :
( p2(e,G,H)
| ~ r0(e)
| ~ p1(G,H,e) ),
file(unknown,unknown) ).
tff(f_1733,axiom,
! [C,D] :
( k3(C,D,C)
| ~ p2(D,C,C) ),
file(unknown,unknown) ).
tff(f_2101,axiom,
! [A,B,C,D] :
( p3(A,B,B)
| ~ m3(B,C,D)
| ~ p2(A,B,D) ),
file(unknown,unknown) ).
tff(c_26,plain,
r0(e),
inference(cnfTransformation,[status(thm)],[f_57]) ).
tff(c_28,plain,
! [X_2] : p0(b,X_2),
inference(cnfTransformation,[status(thm)],[f_59]) ).
tff(c_37981,plain,
! [G_5791,I_5792,H_5793] :
( ~ r0(G_5791)
| ~ p0(I_5792,H_5793)
| m1(G_5791,H_5793,G_5791) ),
inference(cnfTransformation,[status(thm)],[f_136]) ).
tff(c_37992,plain,
! [G_5795,X_5796] :
( ~ r0(G_5795)
| m1(G_5795,X_5796,G_5795) ),
inference(resolution,[status(thm)],[c_28,c_37981]) ).
tff(c_428,plain,
! [E_319,D_318] :
( ~ m1(E_319,D_318,E_319)
| p2(D_318,E_319,D_318) ),
inference(cnfTransformation,[status(thm)],[f_1485]) ).
tff(c_37995,plain,
! [X_5796,G_5795] :
( p2(X_5796,G_5795,X_5796)
| ~ r0(G_5795) ),
inference(resolution,[status(thm)],[c_37992,c_428]) ).
tff(c_386,plain,
! [H_283,I_284,J_285] :
( ~ p2(e,H_283,I_284)
| ~ k1(J_285)
| p2(H_283,I_284,I_284) ),
inference(cnfTransformation,[status(thm)],[f_1323]) ).
tff(c_40059,plain,
! [J_285] : ~ k1(J_285),
inference(splitLeft,[status(thm)],[c_386]) ).
tff(c_74,plain,
n0(b,a),
inference(cnfTransformation,[status(thm)],[f_84]) ).
tff(c_1297,plain,
! [J_727,I_728] :
( ~ n0(J_727,I_728)
| k1(I_728) ),
inference(cnfTransformation,[status(thm)],[f_91]) ).
tff(c_1325,plain,
k1(a),
inference(resolution,[status(thm)],[c_74,c_1297]) ).
tff(c_40066,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_40059,c_1325]) ).
tff(c_40068,plain,
! [H_6001,I_6002] :
( ~ p2(e,H_6001,I_6002)
| p2(H_6001,I_6002,I_6002) ),
inference(splitRight,[status(thm)],[c_386]) ).
tff(c_40123,plain,
! [G_6006] :
( p2(G_6006,e,e)
| ~ r0(G_6006) ),
inference(resolution,[status(thm)],[c_37995,c_40068]) ).
tff(c_21092,plain,
! [C_3650,B_3651] :
( ~ p0(C_3650,B_3651)
| p1(B_3651,B_3651,B_3651) ),
inference(cnfTransformation,[status(thm)],[f_761]) ).
tff(c_21110,plain,
! [X_3652] : p1(X_3652,X_3652,X_3652),
inference(resolution,[status(thm)],[c_28,c_21092]) ).
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_21114,plain,
! [X_3652] : n2(X_3652),
inference(resolution,[status(thm)],[c_21110,c_350]) ).
tff(c_544,plain,
! [D_425] :
( ~ p2(D_425,e,e)
| ~ n2(e)
| m3(D_425,e,e) ),
inference(cnfTransformation,[status(thm)],[f_1972]) ).
tff(c_40018,plain,
! [D_425] :
( ~ p2(D_425,e,e)
| m3(D_425,e,e) ),
inference(demodulation,[status(thm),theory(equality)],[c_21114,c_544]) ).
tff(c_40142,plain,
! [G_6006] :
( m3(G_6006,e,e)
| ~ r0(G_6006) ),
inference(resolution,[status(thm)],[c_40123,c_40018]) ).
tff(c_738,plain,
~ p3(b,e,e),
inference(cnfTransformation,[status(thm)],[f_2764]) ).
tff(c_18,plain,
r0(b),
inference(cnfTransformation,[status(thm)],[f_52]) ).
tff(c_37987,plain,
! [G_5791,X_2] :
( ~ r0(G_5791)
| m1(G_5791,X_2,G_5791) ),
inference(resolution,[status(thm)],[c_28,c_37981]) ).
tff(c_56,plain,
k0(e),
inference(cnfTransformation,[status(thm)],[f_75]) ).
tff(c_40372,plain,
! [G_6031,F_6032] :
( ~ k0(G_6031)
| ~ m1(F_6032,G_6031,b)
| p1(F_6032,b,G_6031) ),
inference(cnfTransformation,[status(thm)],[f_748]) ).
tff(c_366,plain,
! [G_265,H_266] :
( ~ p1(G_265,H_266,e)
| ~ r0(e)
| p2(e,G_265,H_266) ),
inference(cnfTransformation,[status(thm)],[f_1248]) ).
tff(c_802,plain,
! [G_265,H_266] :
( ~ p1(G_265,H_266,e)
| p2(e,G_265,H_266) ),
inference(demodulation,[status(thm),theory(equality)],[c_26,c_366]) ).
tff(c_37707,plain,
! [D_5736,C_5737] :
( ~ p2(D_5736,C_5737,C_5737)
| k3(C_5737,D_5736,C_5737) ),
inference(cnfTransformation,[status(thm)],[f_1733]) ).
tff(c_37729,plain,
! [H_266] :
( k3(H_266,e,H_266)
| ~ p1(H_266,H_266,e) ),
inference(resolution,[status(thm)],[c_802,c_37707]) ).
tff(c_40384,plain,
( k3(b,e,b)
| ~ k0(e)
| ~ m1(b,e,b) ),
inference(resolution,[status(thm)],[c_40372,c_37729]) ).
tff(c_40394,plain,
( k3(b,e,b)
| ~ m1(b,e,b) ),
inference(demodulation,[status(thm),theory(equality)],[c_56,c_40384]) ).
tff(c_40395,plain,
~ m1(b,e,b),
inference(splitLeft,[status(thm)],[c_40394]) ).
tff(c_40398,plain,
~ r0(b),
inference(resolution,[status(thm)],[c_37987,c_40395]) ).
tff(c_40408,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_18,c_40398]) ).
tff(c_40410,plain,
m1(b,e,b),
inference(splitRight,[status(thm)],[c_40394]) ).
tff(c_40430,plain,
p2(e,b,e),
inference(resolution,[status(thm)],[c_40410,c_428]) ).
tff(c_40067,plain,
! [H_283,I_284] :
( ~ p2(e,H_283,I_284)
| p2(H_283,I_284,I_284) ),
inference(splitRight,[status(thm)],[c_386]) ).
tff(c_40438,plain,
p2(b,e,e),
inference(resolution,[status(thm)],[c_40430,c_40067]) ).
tff(c_41933,plain,
! [A_6176,B_6177,D_6178,C_6179] :
( ~ p2(A_6176,B_6177,D_6178)
| ~ m3(B_6177,C_6179,D_6178)
| p3(A_6176,B_6177,B_6177) ),
inference(cnfTransformation,[status(thm)],[f_2101]) ).
tff(c_41941,plain,
! [C_6179] :
( ~ m3(e,C_6179,e)
| p3(b,e,e) ),
inference(resolution,[status(thm)],[c_40438,c_41933]) ).
tff(c_42005,plain,
! [C_6181] : ~ m3(e,C_6181,e),
inference(negUnitSimplification,[status(thm)],[c_738,c_41941]) ).
tff(c_42013,plain,
~ r0(e),
inference(resolution,[status(thm)],[c_40142,c_42005]) ).
tff(c_42033,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_26,c_42013]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : SYN266-1 : TPTP v8.1.2. Released v1.1.0.
% 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
% 0.15/0.36 % Computer : n019.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Thu Aug 3 17:26:31 EDT 2023
% 0.15/0.36 % CPUTime :
% 22.01/10.49 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 22.01/10.49
% 22.01/10.49 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 22.01/10.53
% 22.01/10.53 Inference rules
% 22.01/10.53 ----------------------
% 22.01/10.53 #Ref : 0
% 22.01/10.53 #Sup : 7114
% 22.01/10.53 #Fact : 0
% 22.01/10.53 #Define : 0
% 22.01/10.53 #Split : 739
% 22.01/10.53 #Chain : 0
% 22.01/10.53 #Close : 0
% 22.01/10.53
% 22.01/10.53 Ordering : KBO
% 22.01/10.53
% 22.01/10.53 Simplification rules
% 22.01/10.53 ----------------------
% 22.01/10.53 #Subsume : 1510
% 22.01/10.53 #Demod : 8506
% 22.01/10.53 #Tautology : 6200
% 22.01/10.53 #SimpNegUnit : 473
% 22.01/10.53 #BackRed : 577
% 22.01/10.53
% 22.01/10.53 #Partial instantiations: 0
% 22.01/10.53 #Strategies tried : 1
% 22.01/10.53
% 22.01/10.53 Timing (in seconds)
% 22.01/10.53 ----------------------
% 22.01/10.53 Preprocessing : 1.02
% 22.01/10.53 Parsing : 0.58
% 22.01/10.53 CNF conversion : 0.09
% 22.01/10.53 Main loop : 8.42
% 22.01/10.53 Inferencing : 2.71
% 22.01/10.53 Reduction : 3.12
% 22.01/10.53 Demodulation : 2.06
% 22.01/10.54 BG Simplification : 0.13
% 22.01/10.54 Subsumption : 1.69
% 22.01/10.54 Abstraction : 0.09
% 22.01/10.54 MUC search : 0.00
% 22.01/10.54 Cooper : 0.00
% 22.01/10.54 Total : 9.50
% 22.01/10.54 Index Insertion : 0.00
% 22.01/10.54 Index Deletion : 0.00
% 22.01/10.54 Index Matching : 0.00
% 22.01/10.54 BG Taut test : 0.00
%------------------------------------------------------------------------------