%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : SYN141-1 : 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 : 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 : Wed Apr 9 10:02:43 PM UTC 2025
% Result : Unsatisfiable 25.06s 11.67s
% Output : CNFRefutation 25.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 15
% Syntax : Number of formulae : 49 ( 25 unt; 0 typ; 0 def)
% Number of atoms : 86 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 81 ( 44 ~; 37 |; 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 : 43 ( 43 !; 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_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_2558,axiom,
! [C] :
( m5(C,C)
| ~ k4(C) ),
file(unknown,unknown) ).
tff(f_2765,axiom,
! [X] : ~ m5(c,X),
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(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_42818,plain,
! [I_6400,G_6401,H_6402] :
( ~ n0(I_6400,G_6401)
| ~ q2(I_6400,G_6401,H_6402)
| q3(G_6401,H_6402) ),
inference(cnfTransformation,[status(thm)],[f_2129]) ).
tff(c_43176,plain,
! [G_6424,H_6425] :
( ~ n0(G_6424,G_6424)
| q3(G_6424,H_6425)
| ~ l1(H_6425,G_6424) ),
inference(resolution,[status(thm)],[c_448,c_42818]) ).
tff(c_43180,plain,
! [H_6426] :
( q3(e,H_6426)
| ~ l1(H_6426,e) ),
inference(resolution,[status(thm)],[c_60,c_43176]) ).
tff(c_1497,plain,
! [C_758] :
( ~ k4(C_758)
| m5(C_758,C_758) ),
inference(cnfTransformation,[status(thm)],[f_2558]) ).
tff(c_738,plain,
! [X_627] : ~ m5(c,X_627),
inference(cnfTransformation,[status(thm)],[f_2765]) ).
tff(c_1502,plain,
~ k4(c),
inference(resolution,[status(thm)],[c_1497,c_738]) ).
tff(c_336,plain,
( ~ l1(e,e)
| k2(e,e) ),
inference(cnfTransformation,[status(thm)],[f_1112]) ).
tff(c_17270,plain,
~ l1(e,e),
inference(splitLeft,[status(thm)],[c_336]) ).
tff(c_17273,plain,
! [H_2995,G_2996] :
( ~ n0(H_2995,G_2996)
| l1(G_2996,G_2996) ),
inference(cnfTransformation,[status(thm)],[f_96]) ).
tff(c_17283,plain,
l1(e,e),
inference(resolution,[status(thm)],[c_60,c_17273]) ).
tff(c_17297,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_17270,c_17283]) ).
tff(c_17299,plain,
l1(e,e),
inference(splitRight,[status(thm)],[c_336]) ).
tff(c_31925,plain,
! [G_5045,F_5046] :
( ~ l1(G_5045,F_5046)
| p2(F_5046,F_5046,F_5046) ),
inference(cnfTransformation,[status(thm)],[f_1480]) ).
tff(c_31940,plain,
p2(e,e,e),
inference(resolution,[status(thm)],[c_17299,c_31925]) ).
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_31944,plain,
n3(e),
inference(resolution,[status(thm)],[c_31940,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_32953,plain,
( ~ q3(e,b)
| k4(c) ),
inference(demodulation,[status(thm),theory(equality)],[c_31944,c_740]) ).
tff(c_32954,plain,
~ q3(e,b),
inference(negUnitSimplification,[status(thm)],[c_1502,c_32953]) ).
tff(c_43184,plain,
~ l1(b,e),
inference(resolution,[status(thm)],[c_43180,c_32954]) ).
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_46287,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_46290,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_46287,c_18]) ).
tff(c_46423,plain,
! [D_6678,C_6679,E_6680] :
( ~ m0(D_6678,C_6679,E_6680)
| ~ p0(E_6680,C_6679)
| l1(C_6679,D_6678) ),
inference(splitRight,[status(thm)],[c_82]) ).
tff(c_46438,plain,
( ~ p0(c,b)
| l1(b,e) ),
inference(resolution,[status(thm)],[c_54,c_46423]) ).
tff(c_46454,plain,
l1(b,e),
inference(demodulation,[status(thm),theory(equality)],[c_36,c_46438]) ).
tff(c_46456,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_43184,c_46454]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SYN141-1 : TPTP v9.0.0. Released v1.1.0.
% 0.12/0.13 % 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
% 0.12/0.34 % Computer : n019.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Wed Apr 9 07:00:32 EDT 2025
% 0.12/0.34 % CPUTime :
% 25.06/11.67 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 25.06/11.67
% 25.06/11.67 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------