%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : SYN116-1 : 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/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 : n032.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 10:02:39 PM UTC 2025
% Result : Unsatisfiable 11.05s 3.73s
% Output : CNFRefutation 11.05s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 16
% Syntax : Number of formulae : 53 ( 25 unt; 0 typ; 0 def)
% Number of atoms : 89 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 78 ( 42 ~; 36 |; 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 : 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 : 68 ( 68 !; 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_2764,axiom,
~ k5(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_2216,axiom,
! [H] :
( r3(H,H,H)
| ~ s2(H) ),
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_2042,axiom,
! [H] :
( p3(H,H,H)
| ~ n2(H) ),
file(unknown,unknown) ).
tff(f_73,axiom,
n0(d,c),
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(c_738,plain,
~ k5(b),
inference(cnfTransformation,[status(thm)],[f_2764]) ).
tff(c_30,plain,
n0(a,b),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_1268,plain,
! [H_738,G_739] :
( ~ n0(H_738,G_739)
| l1(G_739,G_739) ),
inference(cnfTransformation,[status(thm)],[f_96]) ).
tff(c_1285,plain,
l1(b,b),
inference(resolution,[status(thm)],[c_30,c_1268]) ).
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_4557,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_1199,plain,
! [I_713] :
( ~ p0(I_713,I_713)
| s1(I_713) ),
inference(cnfTransformation,[status(thm)],[f_1073]) ).
tff(c_1204,plain,
s1(b),
inference(resolution,[status(thm)],[c_28,c_1199]) ).
tff(c_4561,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_4557,c_1204]) ).
tff(c_4563,plain,
! [F_1207,G_1208] :
( ~ q0(F_1207,G_1208)
| s1(F_1207) ),
inference(splitRight,[status(thm)],[c_328]) ).
tff(c_4582,plain,
! [X_3] : s1(X_3),
inference(resolution,[status(thm)],[c_34,c_4563]) ).
tff(c_454,plain,
! [H_345] :
( ~ s1(b)
| ~ q2(b,H_345,b)
| s2(H_345) ),
inference(cnfTransformation,[status(thm)],[f_1597]) ).
tff(c_6623,plain,
! [H_1484] :
( ~ q2(b,H_1484,b)
| s2(H_1484) ),
inference(demodulation,[status(thm),theory(equality)],[c_4582,c_454]) ).
tff(c_6627,plain,
( s2(b)
| ~ l1(b,b) ),
inference(resolution,[status(thm)],[c_448,c_6623]) ).
tff(c_6630,plain,
s2(b),
inference(demodulation,[status(thm),theory(equality)],[c_1285,c_6627]) ).
tff(c_604,plain,
! [H_487] :
( ~ s2(H_487)
| r3(H_487,H_487,H_487) ),
inference(cnfTransformation,[status(thm)],[f_2216]) ).
tff(c_5512,plain,
! [C_1351,B_1352] :
( ~ p0(C_1351,B_1352)
| p1(B_1352,B_1352,B_1352) ),
inference(cnfTransformation,[status(thm)],[f_761]) ).
tff(c_5530,plain,
! [X_1353] : p1(X_1353,X_1353,X_1353),
inference(resolution,[status(thm)],[c_28,c_5512]) ).
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_5534,plain,
! [X_1353] : n2(X_1353),
inference(resolution,[status(thm)],[c_5530,c_350]) ).
tff(c_564,plain,
! [H_442] :
( ~ n2(H_442)
| p3(H_442,H_442,H_442) ),
inference(cnfTransformation,[status(thm)],[f_2042]) ).
tff(c_5551,plain,
! [H_442] : p3(H_442,H_442,H_442),
inference(demodulation,[status(thm),theory(equality)],[c_5534,c_564]) ).
tff(c_52,plain,
n0(d,c),
inference(cnfTransformation,[status(thm)],[f_73]) ).
tff(c_1290,plain,
l1(c,c),
inference(resolution,[status(thm)],[c_52,c_1268]) ).
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_6723,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_7079,plain,
! [A_1554,C_1555,B_1556,D_1557] :
( ~ l1(A_1554,C_1555)
| ~ p3(B_1556,C_1555,D_1557) ),
inference(negUnitSimplification,[status(thm)],[c_6723,c_674]) ).
tff(c_7095,plain,
! [B_1558,D_1559] : ~ p3(B_1558,c,D_1559),
inference(resolution,[status(thm)],[c_1290,c_7079]) ).
tff(c_7100,plain,
$false,
inference(resolution,[status(thm)],[c_5551,c_7095]) ).
tff(c_7102,plain,
! [G_1560,E_1561] :
( ~ r3(G_1560,E_1561,E_1561)
| k5(E_1561) ),
inference(splitRight,[status(thm)],[c_676]) ).
tff(c_7125,plain,
! [H_1563] :
( k5(H_1563)
| ~ s2(H_1563) ),
inference(resolution,[status(thm)],[c_604,c_7102]) ).
tff(c_7128,plain,
k5(b),
inference(resolution,[status(thm)],[c_6630,c_7125]) ).
tff(c_7135,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_738,c_7128]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.09 % Problem : SYN116-1 : TPTP v9.0.0. Released v1.1.0.
% 0.08/0.09 % 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
% 0.08/0.28 % Computer : n032.cluster.edu
% 0.08/0.28 % Model : x86_64 x86_64
% 0.08/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.28 % Memory : 8042.1875MB
% 0.08/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.29 % CPULimit : 300
% 0.08/0.29 % WCLimit : 300
% 0.08/0.29 % DateTime : Wed Apr 9 06:58:45 EDT 2025
% 0.08/0.29 % CPUTime :
% 11.05/3.73 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 11.05/3.74
% 11.05/3.74 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------