%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : SYN161-1 : 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 : n004.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 10:02:46 PM UTC 2025
% Result : Unsatisfiable 16.44s 6.13s
% Output : CNFRefutation 16.44s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 12
% Syntax : Number of formulae : 38 ( 19 unt; 0 typ; 0 def)
% Number of atoms : 64 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 58 ( 32 ~; 26 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 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 : 64 ( 64 !; 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_1524,axiom,
! [I] :
( q2(I,I,I)
| ~ p1(I,I,I) ),
file(unknown,unknown) ).
tff(f_66,axiom,
! [X,Y] : m0(X,d,Y),
file(unknown,unknown) ).
tff(f_269,axiom,
! [C,D,E] :
( m1(C,C,C)
| ~ m0(D,E,C) ),
file(unknown,unknown) ).
tff(f_1485,axiom,
! [D,E] :
( p2(D,E,D)
| ~ m1(E,D,E) ),
file(unknown,unknown) ).
tff(f_2007,axiom,
! [D,E,F] :
( n3(D)
| ~ p2(E,F,D) ),
file(unknown,unknown) ).
tff(f_2514,axiom,
! [G,H,I,J] :
( r4(G)
| ~ n3(G)
| ~ q3(H,I)
| ~ p0(J,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_77,axiom,
n0(e,e),
file(unknown,unknown) ).
tff(f_2633,axiom,
! [B] :
( n5(B,B)
| ~ r4(B) ),
file(unknown,unknown) ).
tff(f_2765,axiom,
! [X] : ~ n5(c,X),
file(unknown,unknown) ).
tff(c_28,plain,
! [X_2] : p0(b,X_2),
inference(cnfTransformation,[status(thm)],[f_59]) ).
tff(c_13034,plain,
! [C_2339,B_2340] :
( ~ p0(C_2339,B_2340)
| p1(B_2340,B_2340,B_2340) ),
inference(cnfTransformation,[status(thm)],[f_761]) ).
tff(c_13041,plain,
! [X_2] : p1(X_2,X_2,X_2),
inference(resolution,[status(thm)],[c_28,c_13034]) ).
tff(c_438,plain,
! [I_327] :
( ~ p1(I_327,I_327,I_327)
| q2(I_327,I_327,I_327) ),
inference(cnfTransformation,[status(thm)],[f_1524]) ).
tff(c_13309,plain,
! [I_327] : q2(I_327,I_327,I_327),
inference(demodulation,[status(thm),theory(equality)],[c_13041,c_438]) ).
tff(c_38,plain,
! [X_4,Y_5] : m0(X_4,d,Y_5),
inference(cnfTransformation,[status(thm)],[f_66]) ).
tff(c_13355,plain,
! [D_2381,E_2382,C_2383] :
( ~ m0(D_2381,E_2382,C_2383)
| m1(C_2383,C_2383,C_2383) ),
inference(cnfTransformation,[status(thm)],[f_269]) ).
tff(c_13398,plain,
! [Y_2386] : m1(Y_2386,Y_2386,Y_2386),
inference(resolution,[status(thm)],[c_38,c_13355]) ).
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_13411,plain,
! [Y_2387] : p2(Y_2387,Y_2387,Y_2387),
inference(resolution,[status(thm)],[c_13398,c_428]) ).
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_13418,plain,
! [Y_2387] : n3(Y_2387),
inference(resolution,[status(thm)],[c_13411,c_556]) ).
tff(c_672,plain,
! [J_567,G_564,H_565,I_566] :
( ~ p0(J_567,G_564)
| ~ q3(H_565,I_566)
| ~ n3(G_564)
| r4(G_564) ),
inference(cnfTransformation,[status(thm)],[f_2514]) ).
tff(c_15280,plain,
! [J_567,G_564,H_565,I_566] :
( ~ p0(J_567,G_564)
| ~ q3(H_565,I_566)
| r4(G_564) ),
inference(demodulation,[status(thm),theory(equality)],[c_13418,c_672]) ).
tff(c_15281,plain,
! [H_565,I_566] : ~ q3(H_565,I_566),
inference(splitLeft,[status(thm)],[c_15280]) ).
tff(c_586,plain,
! [I_466,G_464,H_465] :
( ~ n0(I_466,G_464)
| ~ q2(I_466,G_464,H_465)
| q3(G_464,H_465) ),
inference(cnfTransformation,[status(thm)],[f_2129]) ).
tff(c_15497,plain,
! [I_2681,G_2682,H_2683] :
( ~ n0(I_2681,G_2682)
| ~ q2(I_2681,G_2682,H_2683) ),
inference(negUnitSimplification,[status(thm)],[c_15281,c_586]) ).
tff(c_15512,plain,
! [I_327] : ~ n0(I_327,I_327),
inference(resolution,[status(thm)],[c_13309,c_15497]) ).
tff(c_60,plain,
n0(e,e),
inference(cnfTransformation,[status(thm)],[f_77]) ).
tff(c_15522,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_15512,c_60]) ).
tff(c_15665,plain,
! [J_2700,G_2701] :
( ~ p0(J_2700,G_2701)
| r4(G_2701) ),
inference(splitRight,[status(thm)],[c_15280]) ).
tff(c_15673,plain,
! [X_2] : r4(X_2),
inference(resolution,[status(thm)],[c_28,c_15665]) ).
tff(c_1169,plain,
! [B_716] :
( ~ r4(B_716)
| n5(B_716,B_716) ),
inference(cnfTransformation,[status(thm)],[f_2633]) ).
tff(c_738,plain,
! [X_627] : ~ n5(c,X_627),
inference(cnfTransformation,[status(thm)],[f_2765]) ).
tff(c_1174,plain,
~ r4(c),
inference(resolution,[status(thm)],[c_1169,c_738]) ).
tff(c_15687,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_15673,c_1174]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SYN161-1 : TPTP v9.0.0. Released v1.1.0.
% 0.11/0.13 % 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
% 0.13/0.34 % Computer : n004.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Wed Apr 9 07:02:22 EDT 2025
% 0.13/0.34 % CPUTime :
% 16.44/6.13 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 16.44/6.14
% 16.44/6.14 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------