%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : SYN192-1 : 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 : n031.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 10:02:51 PM UTC 2025
% Result : Unsatisfiable 18.66s 7.13s
% Output : CNFRefutation 18.66s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 12
% Syntax : Number of formulae : 38 ( 19 unt; 0 typ; 0 def)
% Number of atoms : 67 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 61 ( 32 ~; 29 |; 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 : 61 ( 61 !; 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_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_75,axiom,
k0(e),
file(unknown,unknown) ).
tff(f_46,axiom,
n0(d,e),
file(unknown,unknown) ).
tff(f_761,axiom,
! [B,C] :
( p1(B,B,B)
| ~ p0(C,B) ),
file(unknown,unknown) ).
tff(f_1493,axiom,
! [E,F] :
( q2(E,F,F)
| ~ k0(F)
| ~ p1(E,E,E) ),
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_2764,axiom,
~ r4(a),
file(unknown,unknown) ).
tff(c_28,plain,
! [X_2] : p0(b,X_2),
inference(cnfTransformation,[status(thm)],[f_59]) ).
tff(c_38,plain,
! [X_4,Y_5] : m0(X_4,d,Y_5),
inference(cnfTransformation,[status(thm)],[f_66]) ).
tff(c_18667,plain,
! [D_3355,E_3356,C_3357] :
( ~ m0(D_3355,E_3356,C_3357)
| m1(C_3357,C_3357,C_3357) ),
inference(cnfTransformation,[status(thm)],[f_269]) ).
tff(c_18686,plain,
! [Y_5] : m1(Y_5,Y_5,Y_5),
inference(resolution,[status(thm)],[c_38,c_18667]) ).
tff(c_18760,plain,
! [E_3363,D_3364] :
( ~ m1(E_3363,D_3364,E_3363)
| p2(D_3364,E_3363,D_3364) ),
inference(cnfTransformation,[status(thm)],[f_1485]) ).
tff(c_18773,plain,
! [Y_3365] : p2(Y_3365,Y_3365,Y_3365),
inference(resolution,[status(thm)],[c_18686,c_18760]) ).
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_18782,plain,
! [Y_3365] : n3(Y_3365),
inference(resolution,[status(thm)],[c_18773,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_21592,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_18782,c_672]) ).
tff(c_21593,plain,
! [H_565,I_566] : ~ q3(H_565,I_566),
inference(splitLeft,[status(thm)],[c_21592]) ).
tff(c_56,plain,
k0(e),
inference(cnfTransformation,[status(thm)],[f_75]) ).
tff(c_6,plain,
n0(d,e),
inference(cnfTransformation,[status(thm)],[f_46]) ).
tff(c_18417,plain,
! [C_3320,B_3321] :
( ~ p0(C_3320,B_3321)
| p1(B_3321,B_3321,B_3321) ),
inference(cnfTransformation,[status(thm)],[f_761]) ).
tff(c_18422,plain,
! [X_2] : p1(X_2,X_2,X_2),
inference(resolution,[status(thm)],[c_28,c_18417]) ).
tff(c_430,plain,
! [E_320,F_321] :
( ~ p1(E_320,E_320,E_320)
| ~ k0(F_321)
| q2(E_320,F_321,F_321) ),
inference(cnfTransformation,[status(thm)],[f_1493]) ).
tff(c_20196,plain,
! [F_321,E_320] :
( ~ k0(F_321)
| q2(E_320,F_321,F_321) ),
inference(demodulation,[status(thm),theory(equality)],[c_18422,c_430]) ).
tff(c_20893,plain,
! [I_3704,G_3705,H_3706] :
( ~ n0(I_3704,G_3705)
| ~ q2(I_3704,G_3705,H_3706)
| q3(G_3705,H_3706) ),
inference(cnfTransformation,[status(thm)],[f_2129]) ).
tff(c_20916,plain,
! [E_3709,F_3710] :
( ~ n0(E_3709,F_3710)
| q3(F_3710,F_3710)
| ~ k0(F_3710) ),
inference(resolution,[status(thm)],[c_20196,c_20893]) ).
tff(c_20922,plain,
( q3(e,e)
| ~ k0(e) ),
inference(resolution,[status(thm)],[c_6,c_20916]) ).
tff(c_20939,plain,
q3(e,e),
inference(demodulation,[status(thm),theory(equality)],[c_56,c_20922]) ).
tff(c_21602,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_21593,c_20939]) ).
tff(c_21604,plain,
! [J_3766,G_3767] :
( ~ p0(J_3766,G_3767)
| r4(G_3767) ),
inference(splitRight,[status(thm)],[c_21592]) ).
tff(c_21611,plain,
! [X_2] : r4(X_2),
inference(resolution,[status(thm)],[c_28,c_21604]) ).
tff(c_738,plain,
~ r4(a),
inference(cnfTransformation,[status(thm)],[f_2764]) ).
tff(c_21618,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_21611,c_738]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SYN192-1 : TPTP v9.0.0. Released v1.1.0.
% 0.11/0.13 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/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
% 0.13/0.34 % Computer : n031.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 07:05:07 EDT 2025
% 0.13/0.35 % CPUTime :
% 18.66/7.13 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 18.66/7.13
% 18.66/7.13 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------