%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : SYN155-1 : TPTP v9.0.0. 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 : n006.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 : Wed Apr 9 10:02:45 PM UTC 2025
% Result : Unsatisfiable 23.67s 11.06s
% Output : CNFRefutation 23.87s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 19
% Syntax : Number of formulae : 65 ( 34 unt; 0 typ; 0 def)
% Number of atoms : 111 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 99 ( 53 ~; 46 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 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 : 66 ( 66 !; 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_1985,axiom,
! [A] :
( m3(A,A,A)
| ~ n2(A) ),
file(unknown,unknown) ).
tff(f_2391,axiom,
! [H,I] :
( n4(H,H)
| ~ k4(I)
| ~ m3(H,H,H) ),
file(unknown,unknown) ).
tff(f_77,axiom,
n0(e,e),
file(unknown,unknown) ).
tff(f_1567,axiom,
! [G,H] :
( q2(G,G,H)
| ~ l1(H,G) ),
file(unknown,unknown) ).
tff(f_2129,axiom,
! [G,H,I] :
( q3(G,H)
| ~ q2(I,G,H)
| ~ n0(I,G) ),
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_1480,axiom,
! [F,G] :
( p2(F,F,F)
| ~ l1(G,F) ),
file(unknown,unknown) ).
tff(f_2007,axiom,
! [D,E,F] :
( n3(D)
| ~ p2(E,F,D) ),
file(unknown,unknown) ).
tff(f_81,axiom,
n0(c,d),
file(unknown,unknown) ).
tff(f_2307,axiom,
( k4(c)
| ~ n0(c,d)
| ~ q3(e,b)
| ~ n3(e) ),
file(unknown,unknown) ).
tff(f_64,axiom,
p0(c,b),
file(unknown,unknown) ).
tff(f_74,axiom,
m0(e,b,c),
file(unknown,unknown) ).
tff(f_107,axiom,
! [C,D,E,F] :
( l1(C,D)
| ~ p0(E,C)
| ~ r0(F)
| ~ m0(D,C,E) ),
file(unknown,unknown) ).
tff(f_52,axiom,
r0(b),
file(unknown,unknown) ).
tff(f_2765,axiom,
! [X] : ~ n4(X,a),
file(unknown,unknown) ).
tff(c_28,plain,
! [X_2] : p0(b,X_2),
inference(cnfTransformation,[status(thm)],[f_59]) ).
tff(c_48329,plain,
! [C_6843,B_6844] :
( ~ p0(C_6843,B_6844)
| p1(B_6844,B_6844,B_6844) ),
inference(cnfTransformation,[status(thm)],[f_761]) ).
tff(c_48347,plain,
! [X_6845] : p1(X_6845,X_6845,X_6845),
inference(resolution,[status(thm)],[c_28,c_48329]) ).
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_48351,plain,
! [X_6845] : n2(X_6845),
inference(resolution,[status(thm)],[c_48347,c_350]) ).
tff(c_548,plain,
! [A_428] :
( ~ n2(A_428)
| m3(A_428,A_428,A_428) ),
inference(cnfTransformation,[status(thm)],[f_1985]) ).
tff(c_48368,plain,
! [A_428] : m3(A_428,A_428,A_428),
inference(demodulation,[status(thm),theory(equality)],[c_48351,c_548]) ).
tff(c_644,plain,
! [H_527,I_528] :
( ~ m3(H_527,H_527,H_527)
| ~ k4(I_528)
| n4(H_527,H_527) ),
inference(cnfTransformation,[status(thm)],[f_2391]) ).
tff(c_49445,plain,
! [I_528,H_527] :
( ~ k4(I_528)
| n4(H_527,H_527) ),
inference(demodulation,[status(thm),theory(equality)],[c_48368,c_644]) ).
tff(c_49446,plain,
! [I_528] : ~ k4(I_528),
inference(splitLeft,[status(thm)],[c_49445]) ).
tff(c_60,plain,
n0(e,e),
inference(cnfTransformation,[status(thm)],[f_77]) ).
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_46290,plain,
! [I_6639,G_6640,H_6641] :
( ~ n0(I_6639,G_6640)
| ~ q2(I_6639,G_6640,H_6641)
| q3(G_6640,H_6641) ),
inference(cnfTransformation,[status(thm)],[f_2129]) ).
tff(c_47030,plain,
! [G_6703,H_6704] :
( ~ n0(G_6703,G_6703)
| q3(G_6703,H_6704)
| ~ l1(H_6704,G_6703) ),
inference(resolution,[status(thm)],[c_448,c_46290]) ).
tff(c_47034,plain,
! [H_6705] :
( q3(e,H_6705)
| ~ l1(H_6705,e) ),
inference(resolution,[status(thm)],[c_60,c_47030]) ).
tff(c_336,plain,
( ~ l1(e,e)
| k2(e,e) ),
inference(cnfTransformation,[status(thm)],[f_1112]) ).
tff(c_14305,plain,
~ l1(e,e),
inference(splitLeft,[status(thm)],[c_336]) ).
tff(c_14329,plain,
! [H_2650,G_2651] :
( ~ n0(H_2650,G_2651)
| l1(G_2651,G_2651) ),
inference(cnfTransformation,[status(thm)],[f_96]) ).
tff(c_14339,plain,
l1(e,e),
inference(resolution,[status(thm)],[c_60,c_14329]) ).
tff(c_14353,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_14305,c_14339]) ).
tff(c_14355,plain,
l1(e,e),
inference(splitRight,[status(thm)],[c_336]) ).
tff(c_21920,plain,
! [G_3778,F_3779] :
( ~ l1(G_3778,F_3779)
| p2(F_3779,F_3779,F_3779) ),
inference(cnfTransformation,[status(thm)],[f_1480]) ).
tff(c_21935,plain,
p2(e,e,e),
inference(resolution,[status(thm)],[c_14355,c_21920]) ).
tff(c_556,plain,
! [E_432,F_433,D_431] :
( ~ p2(E_432,F_433,D_431)
| n3(D_431) ),
inference(cnfTransformation,[status(thm)],[f_2007]) ).
tff(c_21939,plain,
n3(e),
inference(resolution,[status(thm)],[c_21935,c_556]) ).
tff(c_68,plain,
n0(c,d),
inference(cnfTransformation,[status(thm)],[f_81]) ).
tff(c_624,plain,
( ~ n3(e)
| ~ q3(e,b)
| ~ n0(c,d)
| k4(c) ),
inference(cnfTransformation,[status(thm)],[f_2307]) ).
tff(c_740,plain,
( ~ n3(e)
| ~ q3(e,b)
| k4(c) ),
inference(demodulation,[status(thm),theory(equality)],[c_68,c_624]) ).
tff(c_21945,plain,
( ~ q3(e,b)
| k4(c) ),
inference(demodulation,[status(thm),theory(equality)],[c_21939,c_740]) ).
tff(c_21946,plain,
~ q3(e,b),
inference(splitLeft,[status(thm)],[c_21945]) ).
tff(c_47045,plain,
~ l1(b,e),
inference(resolution,[status(thm)],[c_47034,c_21946]) ).
tff(c_36,plain,
p0(c,b),
inference(cnfTransformation,[status(thm)],[f_64]) ).
tff(c_54,plain,
m0(e,b,c),
inference(cnfTransformation,[status(thm)],[f_74]) ).
tff(c_82,plain,
! [D_11,C_10,E_12,F_13] :
( ~ m0(D_11,C_10,E_12)
| ~ r0(F_13)
| ~ p0(E_12,C_10)
| l1(C_10,D_11) ),
inference(cnfTransformation,[status(thm)],[f_107]) ).
tff(c_48044,plain,
! [F_13] : ~ r0(F_13),
inference(splitLeft,[status(thm)],[c_82]) ).
tff(c_18,plain,
r0(b),
inference(cnfTransformation,[status(thm)],[f_52]) ).
tff(c_48047,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_48044,c_18]) ).
tff(c_48049,plain,
! [D_6808,C_6809,E_6810] :
( ~ m0(D_6808,C_6809,E_6810)
| ~ p0(E_6810,C_6809)
| l1(C_6809,D_6808) ),
inference(splitRight,[status(thm)],[c_82]) ).
tff(c_48064,plain,
( ~ p0(c,b)
| l1(b,e) ),
inference(resolution,[status(thm)],[c_54,c_48049]) ).
tff(c_48080,plain,
l1(b,e),
inference(demodulation,[status(thm),theory(equality)],[c_36,c_48064]) ).
tff(c_48082,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_47045,c_48080]) ).
tff(c_48083,plain,
k4(c),
inference(splitRight,[status(thm)],[c_21945]) ).
tff(c_49448,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_49446,c_48083]) ).
tff(c_49450,plain,
! [H_7028] : n4(H_7028,H_7028),
inference(splitRight,[status(thm)],[c_49445]) ).
tff(c_738,plain,
! [X_627] : ~ n4(X_627,a),
inference(cnfTransformation,[status(thm)],[f_2765]) ).
tff(c_49458,plain,
$false,
inference(resolution,[status(thm)],[c_49450,c_738]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SYN155-1 : TPTP v9.0.0. Released v1.1.0.
% 0.10/0.13 % 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
% 0.14/0.34 % Computer : n006.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Wed Apr 9 07:01:22 EDT 2025
% 0.14/0.35 % CPUTime :
% 23.67/11.06 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 23.77/11.07
% 23.77/11.07 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------