TSTP Solution File: SYN269-1 by Beagle---0.9.51
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SYN269-1 : TPTP v8.1.2. 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 : n012.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 : Tue Aug 22 11:10:16 EDT 2023
% Result : Unsatisfiable 84.30s 69.50s
% Output : CNFRefutation 84.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 99
% Syntax : Number of formulae : 217 ( 76 unt; 53 typ; 0 def)
% Number of atoms : 309 ( 0 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 305 ( 160 ~; 145 |; 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 : 90 ( 48 >; 42 *; 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 : 188 (; 188 !; 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_63,axiom,
! [X] : q0(X,d),
file(unknown,unknown) ).
tff(f_66,axiom,
! [X,Y] : m0(X,d,Y),
file(unknown,unknown) ).
tff(f_1044,axiom,
! [I,J,A] :
( q1(I,I,I)
| ~ m0(J,A,I) ),
file(unknown,unknown) ).
tff(f_44,axiom,
s0(d),
file(unknown,unknown) ).
tff(f_1068,axiom,
! [D,E] :
( r1(D)
| ~ q0(D,E)
| ~ s0(d)
| ~ q1(d,E,d) ),
file(unknown,unknown) ).
tff(f_67,axiom,
l0(a),
file(unknown,unknown) ).
tff(f_1589,axiom,
! [G] :
( r2(G)
| ~ r1(G)
| ~ l0(G) ),
file(unknown,unknown) ).
tff(f_1723,axiom,
( k3(a,a,a)
| ~ r2(a) ),
file(unknown,unknown) ).
tff(f_71,axiom,
l0(c),
file(unknown,unknown) ).
tff(f_79,axiom,
k0(b),
file(unknown,unknown) ).
tff(f_242,axiom,
! [I,J] :
( m1(I,J,I)
| ~ l0(I)
| ~ k0(J) ),
file(unknown,unknown) ).
tff(f_46,axiom,
n0(d,e),
file(unknown,unknown) ).
tff(f_91,axiom,
! [I,J] :
( k1(I)
| ~ n0(J,I) ),
file(unknown,unknown) ).
tff(f_1164,axiom,
( m2(b)
| ~ k1(b) ),
file(unknown,unknown) ).
tff(f_60,axiom,
n0(a,b),
file(unknown,unknown) ).
tff(f_78,axiom,
m0(b,b,e),
file(unknown,unknown) ).
tff(f_123,axiom,
! [B,C] :
( m1(B,C,B)
| ~ m0(C,C,B) ),
file(unknown,unknown) ).
tff(f_942,axiom,
! [A] :
( q1(e,A,A)
| ~ m0(A,d,A)
| ~ m0(e,d,A) ),
file(unknown,unknown) ).
tff(f_1108,axiom,
! [J,A] :
( k2(J,J)
| ~ q1(A,J,J) ),
file(unknown,unknown) ).
tff(f_1092,axiom,
! [C,D,E,F] :
( k2(C,D)
| ~ m1(E,D,C)
| ~ k1(F)
| ~ k2(F,D) ),
file(unknown,unknown) ).
tff(f_2113,axiom,
( p3(b,c,b)
| ~ k2(c,b) ),
file(unknown,unknown) ).
tff(f_1948,axiom,
! [H,I] :
( m3(H,I,H)
| ~ r2(H)
| ~ k2(c,I) ),
file(unknown,unknown) ).
tff(f_52,axiom,
r0(b),
file(unknown,unknown) ).
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_1169,axiom,
! [A,B,C] :
( n2(A)
| ~ p1(B,C,A) ),
file(unknown,unknown) ).
tff(f_1475,axiom,
! [H] :
( p2(H,H,H)
| ~ n2(H)
| ~ k1(e) ),
file(unknown,unknown) ).
tff(f_1081,axiom,
! [F,G,H] :
( s1(F)
| ~ q0(F,G)
| ~ s1(H) ),
file(unknown,unknown) ).
tff(f_1073,axiom,
! [I] :
( s1(I)
| ~ p0(I,I) ),
file(unknown,unknown) ).
tff(f_1141,axiom,
! [J,A,B,C] :
( l2(J,J)
| ~ p0(A,A)
| ~ s1(B)
| ~ m0(C,B,J) ),
file(unknown,unknown) ).
tff(f_2267,axiom,
! [F] :
( r3(F,b,F)
| ~ r0(F)
| ~ p2(b,F,b)
| ~ l2(F,F) ),
file(unknown,unknown) ).
tff(f_2242,axiom,
! [H,I,J,A] :
( r3(H,H,I)
| ~ m2(I)
| ~ m3(J,b,H)
| ~ r3(I,A,A) ),
file(unknown,unknown) ).
tff(f_2420,axiom,
! [H,I,J,A] :
( p4(H,I,I)
| ~ r3(I,I,H)
| ~ p4(J,J,A) ),
file(unknown,unknown) ).
tff(f_57,axiom,
r0(e),
file(unknown,unknown) ).
tff(f_48,axiom,
s0(b),
file(unknown,unknown) ).
tff(f_306,axiom,
! [H,I] :
( m1(H,I,H)
| ~ p0(H,I)
| ~ s0(H) ),
file(unknown,unknown) ).
tff(f_75,axiom,
k0(e),
file(unknown,unknown) ).
tff(f_748,axiom,
! [F,G] :
( p1(F,b,G)
| ~ m1(F,G,b)
| ~ k0(G) ),
file(unknown,unknown) ).
tff(f_1248,axiom,
! [G,H] :
( p2(e,G,H)
| ~ r0(e)
| ~ p1(G,H,e) ),
file(unknown,unknown) ).
tff(f_1733,axiom,
! [C,D] :
( k3(C,D,C)
| ~ p2(D,C,C) ),
file(unknown,unknown) ).
tff(f_1485,axiom,
! [D,E] :
( p2(D,E,D)
| ~ m1(E,D,E) ),
file(unknown,unknown) ).
tff(f_1323,axiom,
! [H,I,J] :
( p2(H,I,I)
| ~ k1(J)
| ~ p2(e,H,I) ),
file(unknown,unknown) ).
tff(f_84,axiom,
n0(b,a),
file(unknown,unknown) ).
tff(f_2231,axiom,
! [B,C,D] :
( r3(B,C,B)
| ~ p2(B,D,C) ),
file(unknown,unknown) ).
tff(f_2399,axiom,
! [G,H] :
( p4(G,G,H)
| ~ r0(G)
| ~ r3(H,G,H) ),
file(unknown,unknown) ).
tff(f_2764,axiom,
~ p4(b,a,a),
file(unknown,unknown) ).
tff(c_34,plain,
! [X_3] : q0(X_3,d),
inference(cnfTransformation,[status(thm)],[f_63]) ).
tff(c_38,plain,
! [X_4,Y_5] : m0(X_4,d,Y_5),
inference(cnfTransformation,[status(thm)],[f_66]) ).
tff(c_155271,plain,
! [J_17800,A_17801,I_17802] :
( ~ m0(J_17800,A_17801,I_17802)
| q1(I_17802,I_17802,I_17802) ),
inference(cnfTransformation,[status(thm)],[f_1044]) ).
tff(c_155290,plain,
! [Y_5] : q1(Y_5,Y_5,Y_5),
inference(resolution,[status(thm)],[c_38,c_155271]) ).
tff(c_2,plain,
s0(d),
inference(cnfTransformation,[status(thm)],[f_44]) ).
tff(c_324,plain,
! [E_232,D_231] :
( ~ q1(d,E_232,d)
| ~ s0(d)
| ~ q0(D_231,E_232)
| r1(D_231) ),
inference(cnfTransformation,[status(thm)],[f_1068]) ).
tff(c_155618,plain,
! [E_17865,D_17866] :
( ~ q1(d,E_17865,d)
| ~ q0(D_17866,E_17865)
| r1(D_17866) ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_324]) ).
tff(c_155621,plain,
! [D_17866] :
( ~ q0(D_17866,d)
| r1(D_17866) ),
inference(resolution,[status(thm)],[c_155290,c_155618]) ).
tff(c_155627,plain,
! [D_17866] : r1(D_17866),
inference(demodulation,[status(thm),theory(equality)],[c_34,c_155621]) ).
tff(c_40,plain,
l0(a),
inference(cnfTransformation,[status(thm)],[f_67]) ).
tff(c_452,plain,
! [G_344] :
( ~ l0(G_344)
| ~ r1(G_344)
| r2(G_344) ),
inference(cnfTransformation,[status(thm)],[f_1589]) ).
tff(c_484,plain,
( ~ r2(a)
| k3(a,a,a) ),
inference(cnfTransformation,[status(thm)],[f_1723]) ).
tff(c_152105,plain,
~ r2(a),
inference(splitLeft,[status(thm)],[c_484]) ).
tff(c_152108,plain,
( ~ l0(a)
| ~ r1(a) ),
inference(resolution,[status(thm)],[c_452,c_152105]) ).
tff(c_152111,plain,
~ r1(a),
inference(demodulation,[status(thm),theory(equality)],[c_40,c_152108]) ).
tff(c_155636,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_155627,c_152111]) ).
tff(c_155638,plain,
r2(a),
inference(splitRight,[status(thm)],[c_484]) ).
tff(c_48,plain,
l0(c),
inference(cnfTransformation,[status(thm)],[f_71]) ).
tff(c_64,plain,
k0(b),
inference(cnfTransformation,[status(thm)],[f_79]) ).
tff(c_118,plain,
! [J_50,I_49] :
( ~ k0(J_50)
| ~ l0(I_49)
| m1(I_49,J_50,I_49) ),
inference(cnfTransformation,[status(thm)],[f_242]) ).
tff(c_6,plain,
n0(d,e),
inference(cnfTransformation,[status(thm)],[f_46]) ).
tff(c_1297,plain,
! [J_727,I_728] :
( ~ n0(J_727,I_728)
| k1(I_728) ),
inference(cnfTransformation,[status(thm)],[f_91]) ).
tff(c_1332,plain,
k1(e),
inference(resolution,[status(thm)],[c_6,c_1297]) ).
tff(c_348,plain,
( ~ k1(b)
| m2(b) ),
inference(cnfTransformation,[status(thm)],[f_1164]) ).
tff(c_842,plain,
~ k1(b),
inference(splitLeft,[status(thm)],[c_348]) ).
tff(c_30,plain,
n0(a,b),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_859,plain,
! [J_639,I_640] :
( ~ n0(J_639,I_640)
| k1(I_640) ),
inference(cnfTransformation,[status(thm)],[f_91]) ).
tff(c_862,plain,
k1(b),
inference(resolution,[status(thm)],[c_30,c_859]) ).
tff(c_887,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_842,c_862]) ).
tff(c_889,plain,
k1(b),
inference(splitRight,[status(thm)],[c_348]) ).
tff(c_62,plain,
m0(b,b,e),
inference(cnfTransformation,[status(thm)],[f_78]) ).
tff(c_305650,plain,
! [C_34608,B_34609] :
( ~ m0(C_34608,C_34608,B_34609)
| m1(B_34609,C_34608,B_34609) ),
inference(cnfTransformation,[status(thm)],[f_123]) ).
tff(c_305660,plain,
m1(e,b,e),
inference(resolution,[status(thm)],[c_62,c_305650]) ).
tff(c_290,plain,
! [A_205] :
( ~ m0(e,d,A_205)
| ~ m0(A_205,d,A_205)
| q1(e,A_205,A_205) ),
inference(cnfTransformation,[status(thm)],[f_942]) ).
tff(c_774,plain,
! [A_205] : q1(e,A_205,A_205),
inference(demodulation,[status(thm),theory(equality)],[c_38,c_38,c_290]) ).
tff(c_290765,plain,
! [A_33015,J_33016] :
( ~ q1(A_33015,J_33016,J_33016)
| k2(J_33016,J_33016) ),
inference(cnfTransformation,[status(thm)],[f_1108]) ).
tff(c_290789,plain,
! [A_205] : k2(A_205,A_205),
inference(resolution,[status(thm)],[c_774,c_290765]) ).
tff(c_308306,plain,
! [F_34902,D_34903,E_34904,C_34905] :
( ~ k2(F_34902,D_34903)
| ~ k1(F_34902)
| ~ m1(E_34904,D_34903,C_34905)
| k2(C_34905,D_34903) ),
inference(cnfTransformation,[status(thm)],[f_1092]) ).
tff(c_308831,plain,
! [A_34935,E_34936,C_34937] :
( ~ k1(A_34935)
| ~ m1(E_34936,A_34935,C_34937)
| k2(C_34937,A_34935) ),
inference(resolution,[status(thm)],[c_290789,c_308306]) ).
tff(c_308864,plain,
( ~ k1(b)
| k2(e,b) ),
inference(resolution,[status(thm)],[c_305660,c_308831]) ).
tff(c_308899,plain,
k2(e,b),
inference(demodulation,[status(thm),theory(equality)],[c_889,c_308864]) ).
tff(c_330,plain,
! [F_240,D_238,E_239,C_237] :
( ~ k2(F_240,D_238)
| ~ k1(F_240)
| ~ m1(E_239,D_238,C_237)
| k2(C_237,D_238) ),
inference(cnfTransformation,[status(thm)],[f_1092]) ).
tff(c_308915,plain,
! [E_239,C_237] :
( ~ k1(e)
| ~ m1(E_239,b,C_237)
| k2(C_237,b) ),
inference(resolution,[status(thm)],[c_308899,c_330]) ).
tff(c_308983,plain,
! [E_34944,C_34945] :
( ~ m1(E_34944,b,C_34945)
| k2(C_34945,b) ),
inference(demodulation,[status(thm),theory(equality)],[c_1332,c_308915]) ).
tff(c_309022,plain,
! [I_49] :
( k2(I_49,b)
| ~ k0(b)
| ~ l0(I_49) ),
inference(resolution,[status(thm)],[c_118,c_308983]) ).
tff(c_309055,plain,
! [I_34947] :
( k2(I_34947,b)
| ~ l0(I_34947) ),
inference(demodulation,[status(thm),theory(equality)],[c_64,c_309022]) ).
tff(c_582,plain,
( ~ k2(c,b)
| p3(b,c,b) ),
inference(cnfTransformation,[status(thm)],[f_2113]) ).
tff(c_290764,plain,
~ k2(c,b),
inference(splitLeft,[status(thm)],[c_582]) ).
tff(c_309060,plain,
~ l0(c),
inference(resolution,[status(thm)],[c_309055,c_290764]) ).
tff(c_309065,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_48,c_309060]) ).
tff(c_309067,plain,
k2(c,b),
inference(splitRight,[status(thm)],[c_582]) ).
tff(c_538,plain,
! [I_421,H_420] :
( ~ k2(c,I_421)
| ~ r2(H_420)
| m3(H_420,I_421,H_420) ),
inference(cnfTransformation,[status(thm)],[f_1948]) ).
tff(c_18,plain,
r0(b),
inference(cnfTransformation,[status(thm)],[f_52]) ).
tff(c_28,plain,
! [X_2] : p0(b,X_2),
inference(cnfTransformation,[status(thm)],[f_59]) ).
tff(c_309103,plain,
! [C_34951,B_34952] :
( ~ p0(C_34951,B_34952)
| p1(B_34952,B_34952,B_34952) ),
inference(cnfTransformation,[status(thm)],[f_761]) ).
tff(c_309120,plain,
! [X_34953] : p1(X_34953,X_34953,X_34953),
inference(resolution,[status(thm)],[c_28,c_309103]) ).
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_309124,plain,
! [X_34953] : n2(X_34953),
inference(resolution,[status(thm)],[c_309120,c_350]) ).
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_309907,plain,
! [H_315] : p2(H_315,H_315,H_315),
inference(demodulation,[status(thm),theory(equality)],[c_309124,c_1332,c_424]) ).
tff(c_888,plain,
m2(b),
inference(splitRight,[status(thm)],[c_348]) ).
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_309865,plain,
! [H_236] : ~ s1(H_236),
inference(splitLeft,[status(thm)],[c_328]) ).
tff(c_14394,plain,
! [I_2677] :
( ~ p0(I_2677,I_2677)
| s1(I_2677) ),
inference(cnfTransformation,[status(thm)],[f_1073]) ).
tff(c_14399,plain,
s1(b),
inference(resolution,[status(thm)],[c_28,c_14394]) ).
tff(c_309869,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_309865,c_14399]) ).
tff(c_309871,plain,
! [F_35064,G_35065] :
( ~ q0(F_35064,G_35065)
| s1(F_35064) ),
inference(splitRight,[status(thm)],[c_328]) ).
tff(c_309892,plain,
! [X_3] : s1(X_3),
inference(resolution,[status(thm)],[c_34,c_309871]) ).
tff(c_342,plain,
! [C_249,B_248,J_246,A_247] :
( ~ m0(C_249,B_248,J_246)
| ~ s1(B_248)
| ~ p0(A_247,A_247)
| l2(J_246,J_246) ),
inference(cnfTransformation,[status(thm)],[f_1141]) ).
tff(c_354498,plain,
! [C_249,B_248,J_246,A_247] :
( ~ m0(C_249,B_248,J_246)
| ~ p0(A_247,A_247)
| l2(J_246,J_246) ),
inference(demodulation,[status(thm),theory(equality)],[c_309892,c_342]) ).
tff(c_354506,plain,
! [A_39153] : ~ p0(A_39153,A_39153),
inference(splitLeft,[status(thm)],[c_354498]) ).
tff(c_354511,plain,
$false,
inference(resolution,[status(thm)],[c_28,c_354506]) ).
tff(c_354526,plain,
! [C_39156,B_39157,J_39158] :
( ~ m0(C_39156,B_39157,J_39158)
| l2(J_39158,J_39158) ),
inference(splitRight,[status(thm)],[c_354498]) ).
tff(c_354544,plain,
! [Y_5] : l2(Y_5,Y_5),
inference(resolution,[status(thm)],[c_38,c_354526]) ).
tff(c_616,plain,
! [F_499] :
( ~ l2(F_499,F_499)
| ~ p2(b,F_499,b)
| ~ r0(F_499)
| r3(F_499,b,F_499) ),
inference(cnfTransformation,[status(thm)],[f_2267]) ).
tff(c_355905,plain,
! [F_499] :
( ~ p2(b,F_499,b)
| ~ r0(F_499)
| r3(F_499,b,F_499) ),
inference(demodulation,[status(thm),theory(equality)],[c_354544,c_616]) ).
tff(c_356778,plain,
! [I_39290,A_39291,J_39292,H_39293] :
( ~ r3(I_39290,A_39291,A_39291)
| ~ m3(J_39292,b,H_39293)
| ~ m2(I_39290)
| r3(H_39293,H_39293,I_39290) ),
inference(cnfTransformation,[status(thm)],[f_2242]) ).
tff(c_356781,plain,
! [J_39292,H_39293] :
( ~ m3(J_39292,b,H_39293)
| ~ m2(b)
| r3(H_39293,H_39293,b)
| ~ p2(b,b,b)
| ~ r0(b) ),
inference(resolution,[status(thm)],[c_355905,c_356778]) ).
tff(c_356959,plain,
! [J_39309,H_39310] :
( ~ m3(J_39309,b,H_39310)
| r3(H_39310,H_39310,b) ),
inference(demodulation,[status(thm),theory(equality)],[c_18,c_309907,c_888,c_356781]) ).
tff(c_356970,plain,
! [H_420] :
( r3(H_420,H_420,b)
| ~ k2(c,b)
| ~ r2(H_420) ),
inference(resolution,[status(thm)],[c_538,c_356959]) ).
tff(c_356995,plain,
! [H_39311] :
( r3(H_39311,H_39311,b)
| ~ r2(H_39311) ),
inference(demodulation,[status(thm),theory(equality)],[c_309067,c_356970]) ).
tff(c_652,plain,
! [J_538,A_539,I_537,H_536] :
( ~ p4(J_538,J_538,A_539)
| ~ r3(I_537,I_537,H_536)
| p4(H_536,I_537,I_537) ),
inference(cnfTransformation,[status(thm)],[f_2420]) ).
tff(c_354561,plain,
! [J_538,A_539] : ~ p4(J_538,J_538,A_539),
inference(splitLeft,[status(thm)],[c_652]) ).
tff(c_26,plain,
r0(e),
inference(cnfTransformation,[status(thm)],[f_57]) ).
tff(c_10,plain,
s0(b),
inference(cnfTransformation,[status(thm)],[f_48]) ).
tff(c_134,plain,
! [H_60,I_61] :
( ~ s0(H_60)
| ~ p0(H_60,I_61)
| m1(H_60,I_61,H_60) ),
inference(cnfTransformation,[status(thm)],[f_306]) ).
tff(c_56,plain,
k0(e),
inference(cnfTransformation,[status(thm)],[f_75]) ).
tff(c_345066,plain,
! [G_38464,F_38465] :
( ~ k0(G_38464)
| ~ m1(F_38465,G_38464,b)
| p1(F_38465,b,G_38464) ),
inference(cnfTransformation,[status(thm)],[f_748]) ).
tff(c_366,plain,
! [G_265,H_266] :
( ~ p1(G_265,H_266,e)
| ~ r0(e)
| p2(e,G_265,H_266) ),
inference(cnfTransformation,[status(thm)],[f_1248]) ).
tff(c_802,plain,
! [G_265,H_266] :
( ~ p1(G_265,H_266,e)
| p2(e,G_265,H_266) ),
inference(demodulation,[status(thm),theory(equality)],[c_26,c_366]) ).
tff(c_328138,plain,
! [D_37006,C_37007] :
( ~ p2(D_37006,C_37007,C_37007)
| k3(C_37007,D_37006,C_37007) ),
inference(cnfTransformation,[status(thm)],[f_1733]) ).
tff(c_328160,plain,
! [H_266] :
( k3(H_266,e,H_266)
| ~ p1(H_266,H_266,e) ),
inference(resolution,[status(thm)],[c_802,c_328138]) ).
tff(c_345075,plain,
( k3(b,e,b)
| ~ k0(e)
| ~ m1(b,e,b) ),
inference(resolution,[status(thm)],[c_345066,c_328160]) ).
tff(c_345085,plain,
( k3(b,e,b)
| ~ m1(b,e,b) ),
inference(demodulation,[status(thm),theory(equality)],[c_56,c_345075]) ).
tff(c_345089,plain,
~ m1(b,e,b),
inference(splitLeft,[status(thm)],[c_345085]) ).
tff(c_345092,plain,
( ~ s0(b)
| ~ p0(b,e) ),
inference(resolution,[status(thm)],[c_134,c_345089]) ).
tff(c_345102,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_28,c_10,c_345092]) ).
tff(c_345104,plain,
m1(b,e,b),
inference(splitRight,[status(thm)],[c_345085]) ).
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_345107,plain,
p2(e,b,e),
inference(resolution,[status(thm)],[c_345104,c_428]) ).
tff(c_386,plain,
! [H_283,I_284,J_285] :
( ~ p2(e,H_283,I_284)
| ~ k1(J_285)
| p2(H_283,I_284,I_284) ),
inference(cnfTransformation,[status(thm)],[f_1323]) ).
tff(c_344742,plain,
! [J_285] : ~ k1(J_285),
inference(splitLeft,[status(thm)],[c_386]) ).
tff(c_74,plain,
n0(b,a),
inference(cnfTransformation,[status(thm)],[f_84]) ).
tff(c_1325,plain,
k1(a),
inference(resolution,[status(thm)],[c_74,c_1297]) ).
tff(c_344749,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_344742,c_1325]) ).
tff(c_344750,plain,
! [H_283,I_284] :
( ~ p2(e,H_283,I_284)
| p2(H_283,I_284,I_284) ),
inference(splitRight,[status(thm)],[c_386]) ).
tff(c_345115,plain,
p2(b,e,e),
inference(resolution,[status(thm)],[c_345107,c_344750]) ).
tff(c_610,plain,
! [B_491,D_493,C_492] :
( ~ p2(B_491,D_493,C_492)
| r3(B_491,C_492,B_491) ),
inference(cnfTransformation,[status(thm)],[f_2231]) ).
tff(c_345139,plain,
r3(b,e,b),
inference(resolution,[status(thm)],[c_345115,c_610]) ).
tff(c_345476,plain,
! [H_38498,G_38499] :
( ~ r3(H_38498,G_38499,H_38498)
| ~ r0(G_38499)
| p4(G_38499,G_38499,H_38498) ),
inference(cnfTransformation,[status(thm)],[f_2399]) ).
tff(c_345480,plain,
( ~ r0(e)
| p4(e,e,b) ),
inference(resolution,[status(thm)],[c_345139,c_345476]) ).
tff(c_345509,plain,
p4(e,e,b),
inference(demodulation,[status(thm),theory(equality)],[c_26,c_345480]) ).
tff(c_354585,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_354561,c_345509]) ).
tff(c_354586,plain,
! [I_537,H_536] :
( ~ r3(I_537,I_537,H_536)
| p4(H_536,I_537,I_537) ),
inference(splitRight,[status(thm)],[c_652]) ).
tff(c_357016,plain,
! [H_39312] :
( p4(b,H_39312,H_39312)
| ~ r2(H_39312) ),
inference(resolution,[status(thm)],[c_356995,c_354586]) ).
tff(c_738,plain,
~ p4(b,a,a),
inference(cnfTransformation,[status(thm)],[f_2764]) ).
tff(c_357022,plain,
~ r2(a),
inference(resolution,[status(thm)],[c_357016,c_738]) ).
tff(c_357029,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_155638,c_357022]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SYN269-1 : TPTP v8.1.2. Released v1.1.0.
% 0.00/0.14 % 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
% 0.17/0.35 % Computer : n012.cluster.edu
% 0.17/0.35 % Model : x86_64 x86_64
% 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.35 % Memory : 8042.1875MB
% 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.35 % CPULimit : 300
% 0.17/0.35 % WCLimit : 300
% 0.17/0.35 % DateTime : Thu Aug 3 17:22:07 EDT 2023
% 0.17/0.35 % CPUTime :
% 84.30/69.50 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 84.37/69.52
% 84.37/69.52 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 84.37/69.57
% 84.37/69.57 Inference rules
% 84.37/69.57 ----------------------
% 84.37/69.57 #Ref : 0
% 84.37/69.57 #Sup : 63875
% 84.37/69.57 #Fact : 0
% 84.37/69.57 #Define : 0
% 84.37/69.57 #Split : 5862
% 84.37/69.57 #Chain : 0
% 84.37/69.57 #Close : 0
% 84.37/69.57
% 84.37/69.57 Ordering : KBO
% 84.37/69.57
% 84.37/69.57 Simplification rules
% 84.37/69.57 ----------------------
% 84.37/69.57 #Subsume : 18869
% 84.37/69.57 #Demod : 65378
% 84.37/69.57 #Tautology : 39683
% 84.37/69.57 #SimpNegUnit : 4505
% 84.37/69.57 #BackRed : 4762
% 84.37/69.57
% 84.37/69.57 #Partial instantiations: 0
% 84.37/69.57 #Strategies tried : 1
% 84.37/69.57
% 84.37/69.57 Timing (in seconds)
% 84.37/69.57 ----------------------
% 84.37/69.58 Preprocessing : 1.07
% 84.37/69.58 Parsing : 0.59
% 84.37/69.58 CNF conversion : 0.09
% 84.37/69.58 Main loop : 67.40
% 84.37/69.58 Inferencing : 20.08
% 84.37/69.58 Reduction : 27.95
% 84.37/69.58 Demodulation : 19.62
% 84.37/69.58 BG Simplification : 0.29
% 84.37/69.58 Subsumption : 14.40
% 84.37/69.58 Abstraction : 0.61
% 84.37/69.58 MUC search : 0.00
% 84.37/69.58 Cooper : 0.00
% 84.37/69.58 Total : 68.56
% 84.37/69.58 Index Insertion : 0.00
% 84.37/69.58 Index Deletion : 0.00
% 84.37/69.58 Index Matching : 0.00
% 84.37/69.58 BG Taut test : 0.00
%------------------------------------------------------------------------------