%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : SYN157-1 : 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 : n027.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 19.79s 7.04s
% Output : CNFRefutation 19.79s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 12
% Syntax : Number of formulae : 40 ( 19 unt; 0 typ; 0 def)
% Number of atoms : 70 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 66 ( 36 ~; 30 |; 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 : 63 ( 63 !; 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_1169,axiom,
! [A,B,C] :
( n2(A)
| ~ p1(B,C,A) ),
file(unknown,unknown) ).
tff(f_77,axiom,
n0(e,e),
file(unknown,unknown) ).
tff(f_91,axiom,
! [I,J] :
( k1(I)
| ~ n0(J,I) ),
file(unknown,unknown) ).
tff(f_1475,axiom,
! [H] :
( p2(H,H,H)
| ~ n2(H)
| ~ k1(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_2633,axiom,
! [B] :
( n5(B,B)
| ~ r4(B) ),
file(unknown,unknown) ).
tff(f_2765,axiom,
! [X] : ~ n5(X,d),
file(unknown,unknown) ).
tff(c_28,plain,
! [X_2] : p0(b,X_2),
inference(cnfTransformation,[status(thm)],[f_59]) ).
tff(c_14383,plain,
! [C_2653,B_2654] :
( ~ p0(C_2653,B_2654)
| p1(B_2654,B_2654,B_2654) ),
inference(cnfTransformation,[status(thm)],[f_761]) ).
tff(c_14389,plain,
! [X_2] : p1(X_2,X_2,X_2),
inference(resolution,[status(thm)],[c_28,c_14383]) ).
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_14690,plain,
! [I_327] : q2(I_327,I_327,I_327),
inference(demodulation,[status(thm),theory(equality)],[c_14389,c_438]) ).
tff(c_14400,plain,
! [X_2655] : p1(X_2655,X_2655,X_2655),
inference(resolution,[status(thm)],[c_28,c_14383]) ).
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_14404,plain,
! [X_2655] : n2(X_2655),
inference(resolution,[status(thm)],[c_14400,c_350]) ).
tff(c_60,plain,
n0(e,e),
inference(cnfTransformation,[status(thm)],[f_77]) ).
tff(c_1426,plain,
! [J_751,I_752] :
( ~ n0(J_751,I_752)
| k1(I_752) ),
inference(cnfTransformation,[status(thm)],[f_91]) ).
tff(c_1457,plain,
k1(e),
inference(resolution,[status(thm)],[c_60,c_1426]) ).
tff(c_424,plain,
! [H_315] :
( ~ k1(e)
| ~ n2(H_315)
| p2(H_315,H_315,H_315) ),
inference(cnfTransformation,[status(thm)],[f_1475]) ).
tff(c_14669,plain,
! [H_2685] : p2(H_2685,H_2685,H_2685),
inference(demodulation,[status(thm),theory(equality)],[c_14404,c_1457,c_424]) ).
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_14673,plain,
! [H_2685] : n3(H_2685),
inference(resolution,[status(thm)],[c_14669,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_16100,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_14673,c_672]) ).
tff(c_16101,plain,
! [H_565,I_566] : ~ q3(H_565,I_566),
inference(splitLeft,[status(thm)],[c_16100]) ).
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_16419,plain,
! [I_2947,G_2948,H_2949] :
( ~ n0(I_2947,G_2948)
| ~ q2(I_2947,G_2948,H_2949) ),
inference(negUnitSimplification,[status(thm)],[c_16101,c_586]) ).
tff(c_16434,plain,
! [I_327] : ~ n0(I_327,I_327),
inference(resolution,[status(thm)],[c_14690,c_16419]) ).
tff(c_16437,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_16434,c_60]) ).
tff(c_16439,plain,
! [J_2950,G_2951] :
( ~ p0(J_2950,G_2951)
| r4(G_2951) ),
inference(splitRight,[status(thm)],[c_16100]) ).
tff(c_16447,plain,
! [X_2] : r4(X_2),
inference(resolution,[status(thm)],[c_28,c_16439]) ).
tff(c_1473,plain,
! [B_757] :
( ~ r4(B_757)
| n5(B_757,B_757) ),
inference(cnfTransformation,[status(thm)],[f_2633]) ).
tff(c_738,plain,
! [X_627] : ~ n5(X_627,d),
inference(cnfTransformation,[status(thm)],[f_2765]) ).
tff(c_1478,plain,
~ r4(d),
inference(resolution,[status(thm)],[c_1473,c_738]) ).
tff(c_16456,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_16447,c_1478]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.09 % Problem : SYN157-1 : TPTP v9.0.0. Released v1.1.0.
% 0.02/0.10 % 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
% 0.10/0.31 % Computer : n027.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.31 % CPULimit : 300
% 0.16/0.31 % WCLimit : 300
% 0.16/0.31 % DateTime : Wed Apr 9 07:02:05 EDT 2025
% 0.16/0.31 % CPUTime :
% 19.79/7.04 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 19.79/7.05
% 19.79/7.05 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------