TSTP Solution File: SYN143-10 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SYN143-10 : TPTP v8.1.2. Released v7.3.0.
% 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 : n014.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 11:09:44 EDT 2023
% Result : Unsatisfiable 22.14s 10.91s
% Output : CNFRefutation 22.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 82
% Syntax : Number of formulae : 169 ( 114 unt; 55 typ; 0 def)
% Number of atoms : 114 ( 113 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 94 ( 49 >; 45 *; 0 +; 0 <<)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 55 ( 55 usr; 6 con; 0-4 aty)
% Number of variables : 162 (; 162 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ ifeq > 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 > #nlpp > s5 > s4 > s2 > s1 > s0 > r4 > r2 > r1 > r0 > n3 > n2 > m2 > l5 > l4 > l0 > k5 > k4 > k1 > k0 > true > e > d > c > b > a
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(l2,type,
l2: ( $i * $i ) > $i ).
tff(s1,type,
s1: $i > $i ).
tff(k0,type,
k0: $i > $i ).
tff(s3,type,
s3: ( $i * $i ) > $i ).
tff(r0,type,
r0: $i > $i ).
tff(r4,type,
r4: $i > $i ).
tff(a,type,
a: $i ).
tff(k4,type,
k4: $i > $i ).
tff(p0,type,
p0: ( $i * $i ) > $i ).
tff(m2,type,
m2: $i > $i ).
tff(r5,type,
r5: ( $i * $i ) > $i ).
tff(r2,type,
r2: $i > $i ).
tff(r3,type,
r3: ( $i * $i * $i ) > $i ).
tff(n4,type,
n4: ( $i * $i ) > $i ).
tff(n2,type,
n2: $i > $i ).
tff(s2,type,
s2: $i > $i ).
tff(n3,type,
n3: $i > $i ).
tff(q2,type,
q2: ( $i * $i * $i ) > $i ).
tff(l1,type,
l1: ( $i * $i ) > $i ).
tff(r1,type,
r1: $i > $i ).
tff(q5,type,
q5: ( $i * $i ) > $i ).
tff(l4,type,
l4: $i > $i ).
tff(b,type,
b: $i ).
tff(q0,type,
q0: ( $i * $i ) > $i ).
tff(m1,type,
m1: ( $i * $i * $i ) > $i ).
tff(m5,type,
m5: ( $i * $i ) > $i ).
tff(l3,type,
l3: ( $i * $i ) > $i ).
tff(q4,type,
q4: ( $i * $i ) > $i ).
tff(l5,type,
l5: $i > $i ).
tff(q1,type,
q1: ( $i * $i * $i ) > $i ).
tff(m3,type,
m3: ( $i * $i * $i ) > $i ).
tff(n1,type,
n1: ( $i * $i * $i ) > $i ).
tff(p4,type,
p4: ( $i * $i * $i ) > $i ).
tff(p3,type,
p3: ( $i * $i * $i ) > $i ).
tff(k5,type,
k5: $i > $i ).
tff(p5,type,
p5: ( $i * $i * $i ) > $i ).
tff(p2,type,
p2: ( $i * $i * $i ) > $i ).
tff(k2,type,
k2: ( $i * $i ) > $i ).
tff(m0,type,
m0: ( $i * $i * $i ) > $i ).
tff(s4,type,
s4: $i > $i ).
tff(l0,type,
l0: $i > $i ).
tff(q3,type,
q3: ( $i * $i ) > $i ).
tff(s5,type,
s5: $i > $i ).
tff(d,type,
d: $i ).
tff(k1,type,
k1: $i > $i ).
tff(k3,type,
k3: ( $i * $i * $i ) > $i ).
tff(n5,type,
n5: ( $i * $i ) > $i ).
tff(true,type,
true: $i ).
tff(s0,type,
s0: $i > $i ).
tff(m4,type,
m4: ( $i * $i ) > $i ).
tff(e,type,
e: $i ).
tff(n0,type,
n0: ( $i * $i ) > $i ).
tff(p1,type,
p1: ( $i * $i * $i ) > $i ).
tff(ifeq,type,
ifeq: ( $i * $i * $i * $i ) > $i ).
tff(c,type,
c: $i ).
tff(f_657,axiom,
m5(d,d) != true,
file(unknown,unknown) ).
tff(f_24,axiom,
! [A,B,C] : ( ifeq(A,A,B,C) = B ),
file(unknown,unknown) ).
tff(f_40,axiom,
! [X] : ( p0(b,X) = true ),
file(unknown,unknown) ).
tff(f_216,axiom,
! [C,B] : ( ifeq(p0(C,B),true,p1(B,B,B),true) = true ),
file(unknown,unknown) ).
tff(f_308,axiom,
! [B,C,A] : ( ifeq(p1(B,C,A),true,n2(A),true) = true ),
file(unknown,unknown) ).
tff(f_496,axiom,
! [H] : ( ifeq(n2(H),true,p3(H,H,H),true) = true ),
file(unknown,unknown) ).
tff(f_62,axiom,
n0(c,d) = true,
file(unknown,unknown) ).
tff(f_70,axiom,
! [H,G] : ( ifeq(n0(H,G),true,l1(G,G),true) = true ),
file(unknown,unknown) ).
tff(f_597,axiom,
! [B,C,D,A] : ( ifeq(p3(B,C,D),true,ifeq(l1(A,C),true,s4(A),true),true) = true ),
file(unknown,unknown) ).
tff(f_60,axiom,
k0(b) = true,
file(unknown,unknown) ).
tff(f_380,axiom,
! [E,F] : ( ifeq(p1(E,E,E),true,ifeq(k0(F),true,q2(E,F,F),true),true) = true ),
file(unknown,unknown) ).
tff(f_48,axiom,
l0(a) = true,
file(unknown,unknown) ).
tff(f_29,axiom,
s0(b) = true,
file(unknown,unknown) ).
tff(f_155,axiom,
! [D,E] : ( ifeq(l0(D),true,ifeq(p0(b,E),true,ifeq(s0(b),true,n1(D,E,D),true),true),true) = true ),
file(unknown,unknown) ).
tff(f_65,axiom,
n0(b,a) = true,
file(unknown,unknown) ).
tff(f_163,axiom,
! [E,F,G] : ( ifeq(n1(E,F,E),true,ifeq(l0(G),true,ifeq(l1(G,E),true,n1(E,F,F),true),true),true) = true ),
file(unknown,unknown) ).
tff(f_389,axiom,
! [G,H,F] : ( ifeq(q2(G,H,F),true,ifeq(p1(F,F,H),true,ifeq(n1(G,F,H),true,q2(F,G,F),true),true),true) = true ),
file(unknown,unknown) ).
tff(f_288,axiom,
! [I] : ( ifeq(p0(I,I),true,s1(I),true) = true ),
file(unknown,unknown) ).
tff(f_44,axiom,
! [X] : ( q0(X,d) = true ),
file(unknown,unknown) ).
tff(f_290,axiom,
! [H,F,G] : ( ifeq(s1(H),true,ifeq(q0(F,G),true,s1(F),true),true) = true ),
file(unknown,unknown) ).
tff(f_403,axiom,
! [H] : ( ifeq(q2(b,H,b),true,ifeq(s1(b),true,s2(H),true),true) = true ),
file(unknown,unknown) ).
tff(f_387,axiom,
! [I] : ( ifeq(p1(I,I,I),true,q2(I,I,I),true) = true ),
file(unknown,unknown) ).
tff(f_47,axiom,
! [X,Y] : ( m0(X,d,Y) = true ),
file(unknown,unknown) ).
tff(f_553,axiom,
! [I,A,B,J] : ( ifeq(s2(I),true,ifeq(q2(A,I,A),true,ifeq(m0(A,B,J),true,s3(I,J),true),true),true) = true ),
file(unknown,unknown) ).
tff(f_301,axiom,
! [B,A,C,J] : ( ifeq(s1(B),true,ifeq(p0(A,A),true,ifeq(m0(C,B,J),true,l2(J,J),true),true),true) = true ),
file(unknown,unknown) ).
tff(f_562,axiom,
! [E,G,F] : ( ifeq(s3(a,E),true,ifeq(l2(G,F),true,m4(E,F),true),true) = true ),
file(unknown,unknown) ).
tff(f_608,axiom,
! [B] : ( ifeq(s4(B),true,ifeq(m4(e,e),true,m5(B,B),true),true) = true ),
file(unknown,unknown) ).
tff(c_726,plain,
m5(d,d) != true,
inference(cnfTransformation,[status(thm)],[f_657]) ).
tff(c_2,plain,
! [A_1,B_2,C_3] : ( ifeq(A_1,A_1,B_2,C_3) = B_2 ),
inference(cnfTransformation,[status(thm)],[f_24]) ).
tff(c_30,plain,
! [X_5] : ( p0(b,X_5) = true ),
inference(cnfTransformation,[status(thm)],[f_40]) ).
tff(c_3086,plain,
! [C_703,B_704] : ( ifeq(p0(C_703,B_704),true,p1(B_704,B_704,B_704),true) = true ),
inference(cnfTransformation,[status(thm)],[f_216]) ).
tff(c_3963,plain,
! [X_741] : ( ifeq(true,true,p1(X_741,X_741,X_741),true) = true ),
inference(superposition,[status(thm),theory(equality)],[c_30,c_3086]) ).
tff(c_4005,plain,
! [X_742] : ( p1(X_742,X_742,X_742) = true ),
inference(superposition,[status(thm),theory(equality)],[c_3963,c_2]) ).
tff(c_346,plain,
! [B_256,C_257,A_258] : ( ifeq(p1(B_256,C_257,A_258),true,n2(A_258),true) = true ),
inference(cnfTransformation,[status(thm)],[f_308]) ).
tff(c_4115,plain,
! [X_747] : ( ifeq(true,true,n2(X_747),true) = true ),
inference(superposition,[status(thm),theory(equality)],[c_4005,c_346]) ).
tff(c_4120,plain,
! [X_747] : ( n2(X_747) = true ),
inference(superposition,[status(thm),theory(equality)],[c_4115,c_2]) ).
tff(c_556,plain,
! [H_437] : ( ifeq(n2(H_437),true,p3(H_437,H_437,H_437),true) = true ),
inference(cnfTransformation,[status(thm)],[f_496]) ).
tff(c_6251,plain,
! [H_853] : ( ifeq(true,true,p3(H_853,H_853,H_853),true) = true ),
inference(demodulation,[status(thm),theory(equality)],[c_4120,c_556]) ).
tff(c_6265,plain,
! [H_853] : ( p3(H_853,H_853,H_853) = true ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_6251]) ).
tff(c_70,plain,
n0(c,d) = true,
inference(cnfTransformation,[status(thm)],[f_62]) ).
tff(c_2369,plain,
! [H_681,G_682] : ( ifeq(n0(H_681,G_682),true,l1(G_682,G_682),true) = true ),
inference(cnfTransformation,[status(thm)],[f_70]) ).
tff(c_2391,plain,
ifeq(true,true,l1(d,d),true) = true,
inference(superposition,[status(thm),theory(equality)],[c_70,c_2369]) ).
tff(c_2450,plain,
l1(d,d) = true,
inference(superposition,[status(thm),theory(equality)],[c_2391,c_2]) ).
tff(c_7202,plain,
! [B_916,C_917,D_918,A_919] : ( ifeq(p3(B_916,C_917,D_918),true,ifeq(l1(A_919,C_917),true,s4(A_919),true),true) = true ),
inference(cnfTransformation,[status(thm)],[f_597]) ).
tff(c_7224,plain,
! [B_916,D_918] : ( ifeq(p3(B_916,d,D_918),true,ifeq(true,true,s4(d),true),true) = true ),
inference(superposition,[status(thm),theory(equality)],[c_2450,c_7202]) ).
tff(c_9361,plain,
! [B_997,D_998] : ( ifeq(p3(B_997,d,D_998),true,s4(d),true) = true ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_7224]) ).
tff(c_9368,plain,
ifeq(true,true,s4(d),true) = true,
inference(superposition,[status(thm),theory(equality)],[c_6265,c_9361]) ).
tff(c_9374,plain,
s4(d) = true,
inference(superposition,[status(thm),theory(equality)],[c_9368,c_2]) ).
tff(c_66,plain,
k0(b) = true,
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_3968,plain,
! [X_741] : ( p1(X_741,X_741,X_741) = true ),
inference(superposition,[status(thm),theory(equality)],[c_3963,c_2]) ).
tff(c_426,plain,
! [E_320,F_321] : ( ifeq(p1(E_320,E_320,E_320),true,ifeq(k0(F_321),true,q2(E_320,F_321,F_321),true),true) = true ),
inference(cnfTransformation,[status(thm)],[f_380]) ).
tff(c_9058,plain,
! [F_979,E_980] : ( ifeq(k0(F_979),true,q2(E_980,F_979,F_979),true) = true ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_3968,c_426]) ).
tff(c_9148,plain,
! [E_984] : ( ifeq(true,true,q2(E_984,b,b),true) = true ),
inference(superposition,[status(thm),theory(equality)],[c_66,c_9058]) ).
tff(c_9153,plain,
! [E_984] : ( q2(E_984,b,b) = true ),
inference(superposition,[status(thm),theory(equality)],[c_9148,c_2]) ).
tff(c_42,plain,
l0(a) = true,
inference(cnfTransformation,[status(thm)],[f_48]) ).
tff(c_12,plain,
s0(b) = true,
inference(cnfTransformation,[status(thm)],[f_29]) ).
tff(c_176,plain,
! [D_98,E_99] : ( ifeq(l0(D_98),true,ifeq(p0(b,E_99),true,ifeq(s0(b),true,n1(D_98,E_99,D_98),true),true),true) = true ),
inference(cnfTransformation,[status(thm)],[f_155]) ).
tff(c_777,plain,
! [D_98,E_99] : ( ifeq(l0(D_98),true,ifeq(true,true,ifeq(s0(b),true,n1(D_98,E_99,D_98),true),true),true) = true ),
inference(demodulation,[status(thm),theory(equality)],[c_30,c_176]) ).
tff(c_798,plain,
! [D_98,E_99] : ( ifeq(l0(D_98),true,ifeq(true,true,ifeq(true,true,n1(D_98,E_99,D_98),true),true),true) = true ),
inference(demodulation,[status(thm),theory(equality)],[c_12,c_777]) ).
tff(c_1684,plain,
! [D_654,E_655] : ( ifeq(l0(D_654),true,n1(D_654,E_655,D_654),true) = true ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_2,c_798]) ).
tff(c_1760,plain,
! [E_660] : ( ifeq(true,true,n1(a,E_660,a),true) = true ),
inference(superposition,[status(thm),theory(equality)],[c_42,c_1684]) ).
tff(c_1765,plain,
! [E_660] : ( n1(a,E_660,a) = true ),
inference(superposition,[status(thm),theory(equality)],[c_1760,c_2]) ).
tff(c_76,plain,
n0(b,a) = true,
inference(cnfTransformation,[status(thm)],[f_65]) ).
tff(c_2394,plain,
ifeq(true,true,l1(a,a),true) = true,
inference(superposition,[status(thm),theory(equality)],[c_76,c_2369]) ).
tff(c_2623,plain,
l1(a,a) = true,
inference(superposition,[status(thm),theory(equality)],[c_2394,c_2]) ).
tff(c_16906,plain,
! [E_1290,F_1291,G_1292] : ( ifeq(n1(E_1290,F_1291,E_1290),true,ifeq(l0(G_1292),true,ifeq(l1(G_1292,E_1290),true,n1(E_1290,F_1291,F_1291),true),true),true) = true ),
inference(cnfTransformation,[status(thm)],[f_163]) ).
tff(c_16948,plain,
! [F_1291] : ( ifeq(n1(a,F_1291,a),true,ifeq(l0(a),true,ifeq(true,true,n1(a,F_1291,F_1291),true),true),true) = true ),
inference(superposition,[status(thm),theory(equality)],[c_2623,c_16906]) ).
tff(c_16990,plain,
! [F_1291] : ( n1(a,F_1291,F_1291) = true ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_1765,c_2,c_2,c_42,c_16948]) ).
tff(c_19706,plain,
! [G_1374,H_1375,F_1376] : ( ifeq(q2(G_1374,H_1375,F_1376),true,ifeq(p1(F_1376,F_1376,H_1375),true,ifeq(n1(G_1374,F_1376,H_1375),true,q2(F_1376,G_1374,F_1376),true),true),true) = true ),
inference(cnfTransformation,[status(thm)],[f_389]) ).
tff(c_19764,plain,
! [F_1291] : ( ifeq(q2(a,F_1291,F_1291),true,ifeq(p1(F_1291,F_1291,F_1291),true,ifeq(true,true,q2(F_1291,a,F_1291),true),true),true) = true ),
inference(superposition,[status(thm),theory(equality)],[c_16990,c_19706]) ).
tff(c_29805,plain,
! [F_1607] : ( ifeq(q2(a,F_1607,F_1607),true,q2(F_1607,a,F_1607),true) = true ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_3968,c_2,c_19764]) ).
tff(c_29817,plain,
ifeq(true,true,q2(b,a,b),true) = true,
inference(superposition,[status(thm),theory(equality)],[c_9153,c_29805]) ).
tff(c_29922,plain,
q2(b,a,b) = true,
inference(superposition,[status(thm),theory(equality)],[c_29817,c_2]) ).
tff(c_1264,plain,
! [I_638] : ( ifeq(p0(I_638,I_638),true,s1(I_638),true) = true ),
inference(cnfTransformation,[status(thm)],[f_288]) ).
tff(c_1272,plain,
ifeq(true,true,s1(b),true) = true,
inference(superposition,[status(thm),theory(equality)],[c_30,c_1264]) ).
tff(c_1279,plain,
s1(b) = true,
inference(superposition,[status(thm),theory(equality)],[c_1272,c_2]) ).
tff(c_36,plain,
! [X_6] : ( q0(X_6,d) = true ),
inference(cnfTransformation,[status(thm)],[f_44]) ).
tff(c_5978,plain,
! [H_836,F_837,G_838] : ( ifeq(s1(H_836),true,ifeq(q0(F_837,G_838),true,s1(F_837),true),true) = true ),
inference(cnfTransformation,[status(thm)],[f_290]) ).
tff(c_5990,plain,
! [H_836,X_6] : ( ifeq(s1(H_836),true,ifeq(true,true,s1(X_6),true),true) = true ),
inference(superposition,[status(thm),theory(equality)],[c_36,c_5978]) ).
tff(c_6015,plain,
! [H_839,X_840] : ( ifeq(s1(H_839),true,s1(X_840),true) = true ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_5990]) ).
tff(c_6027,plain,
! [X_841] : ( ifeq(true,true,s1(X_841),true) = true ),
inference(superposition,[status(thm),theory(equality)],[c_1279,c_6015]) ).
tff(c_6032,plain,
! [X_841] : ( s1(X_841) = true ),
inference(superposition,[status(thm),theory(equality)],[c_6027,c_2]) ).
tff(c_450,plain,
! [H_345] : ( ifeq(q2(b,H_345,b),true,ifeq(s1(b),true,s2(H_345),true),true) = true ),
inference(cnfTransformation,[status(thm)],[f_403]) ).
tff(c_6194,plain,
! [H_345] : ( ifeq(q2(b,H_345,b),true,s2(H_345),true) = true ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_6032,c_450]) ).
tff(c_29966,plain,
ifeq(true,true,s2(a),true) = true,
inference(superposition,[status(thm),theory(equality)],[c_29922,c_6194]) ).
tff(c_30016,plain,
s2(a) = true,
inference(superposition,[status(thm),theory(equality)],[c_29966,c_2]) ).
tff(c_434,plain,
! [I_327] : ( ifeq(p1(I_327,I_327,I_327),true,q2(I_327,I_327,I_327),true) = true ),
inference(cnfTransformation,[status(thm)],[f_387]) ).
tff(c_4486,plain,
! [I_763] : ( ifeq(true,true,q2(I_763,I_763,I_763),true) = true ),
inference(demodulation,[status(thm),theory(equality)],[c_3968,c_434]) ).
tff(c_4491,plain,
! [I_763] : ( q2(I_763,I_763,I_763) = true ),
inference(superposition,[status(thm),theory(equality)],[c_4486,c_2]) ).
tff(c_40,plain,
! [X_7,Y_8] : ( m0(X_7,d,Y_8) = true ),
inference(cnfTransformation,[status(thm)],[f_47]) ).
tff(c_17984,plain,
! [I_1312,A_1313,B_1314,J_1315] : ( ifeq(s2(I_1312),true,ifeq(q2(A_1313,I_1312,A_1313),true,ifeq(m0(A_1313,B_1314,J_1315),true,s3(I_1312,J_1315),true),true),true) = true ),
inference(cnfTransformation,[status(thm)],[f_553]) ).
tff(c_18014,plain,
! [I_1312,X_7,Y_8] : ( ifeq(s2(I_1312),true,ifeq(q2(X_7,I_1312,X_7),true,ifeq(true,true,s3(I_1312,Y_8),true),true),true) = true ),
inference(superposition,[status(thm),theory(equality)],[c_40,c_17984]) ).
tff(c_28879,plain,
! [I_1581,X_1582,Y_1583] : ( ifeq(s2(I_1581),true,ifeq(q2(X_1582,I_1581,X_1582),true,s3(I_1581,Y_1583),true),true) = true ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_18014]) ).
tff(c_28943,plain,
! [I_763,Y_1583] : ( ifeq(s2(I_763),true,ifeq(true,true,s3(I_763,Y_1583),true),true) = true ),
inference(superposition,[status(thm),theory(equality)],[c_4491,c_28879]) ).
tff(c_28964,plain,
! [I_763,Y_1583] : ( ifeq(s2(I_763),true,s3(I_763,Y_1583),true) = true ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_28943]) ).
tff(c_30066,plain,
! [Y_1609] : ( ifeq(true,true,s3(a,Y_1609),true) = true ),
inference(superposition,[status(thm),theory(equality)],[c_30016,c_28964]) ).
tff(c_30071,plain,
! [Y_1609] : ( s3(a,Y_1609) = true ),
inference(superposition,[status(thm),theory(equality)],[c_30066,c_2]) ).
tff(c_338,plain,
! [B_246,A_247,C_248,J_249] : ( ifeq(s1(B_246),true,ifeq(p0(A_247,A_247),true,ifeq(m0(C_248,B_246,J_249),true,l2(J_249,J_249),true),true),true) = true ),
inference(cnfTransformation,[status(thm)],[f_301]) ).
tff(c_16289,plain,
! [A_1271,C_1272,B_1273,J_1274] : ( ifeq(p0(A_1271,A_1271),true,ifeq(m0(C_1272,B_1273,J_1274),true,l2(J_1274,J_1274),true),true) = true ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_6032,c_338]) ).
tff(c_16296,plain,
! [A_1271,Y_8] : ( ifeq(p0(A_1271,A_1271),true,ifeq(true,true,l2(Y_8,Y_8),true),true) = true ),
inference(superposition,[status(thm),theory(equality)],[c_40,c_16289]) ).
tff(c_17703,plain,
! [A_1304,Y_1305] : ( ifeq(p0(A_1304,A_1304),true,l2(Y_1305,Y_1305),true) = true ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_16296]) ).
tff(c_17716,plain,
! [Y_1306] : ( ifeq(true,true,l2(Y_1306,Y_1306),true) = true ),
inference(superposition,[status(thm),theory(equality)],[c_30,c_17703]) ).
tff(c_17748,plain,
! [Y_1307] : ( l2(Y_1307,Y_1307) = true ),
inference(superposition,[status(thm),theory(equality)],[c_17716,c_2]) ).
tff(c_624,plain,
! [E_512,G_513,F_514] : ( ifeq(s3(a,E_512),true,ifeq(l2(G_513,F_514),true,m4(E_512,F_514),true),true) = true ),
inference(cnfTransformation,[status(thm)],[f_562]) ).
tff(c_17780,plain,
! [E_512,Y_1307] : ( ifeq(s3(a,E_512),true,ifeq(true,true,m4(E_512,Y_1307),true),true) = true ),
inference(superposition,[status(thm),theory(equality)],[c_17748,c_624]) ).
tff(c_17789,plain,
! [E_512,Y_1307] : ( ifeq(s3(a,E_512),true,m4(E_512,Y_1307),true) = true ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_17780]) ).
tff(c_30108,plain,
! [E_1611,Y_1612] : ( ifeq(true,true,m4(E_1611,Y_1612),true) = true ),
inference(demodulation,[status(thm),theory(equality)],[c_30071,c_17789]) ).
tff(c_30113,plain,
! [E_1611,Y_1612] : ( m4(E_1611,Y_1612) = true ),
inference(superposition,[status(thm),theory(equality)],[c_30108,c_2]) ).
tff(c_674,plain,
! [B_571] : ( ifeq(s4(B_571),true,ifeq(m4(e,e),true,m5(B_571,B_571),true),true) = true ),
inference(cnfTransformation,[status(thm)],[f_608]) ).
tff(c_30128,plain,
! [B_571] : ( ifeq(s4(B_571),true,ifeq(true,true,m5(B_571,B_571),true),true) = true ),
inference(demodulation,[status(thm),theory(equality)],[c_30113,c_674]) ).
tff(c_30294,plain,
! [B_1616] : ( ifeq(s4(B_1616),true,m5(B_1616,B_1616),true) = true ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_30128]) ).
tff(c_30313,plain,
ifeq(true,true,m5(d,d),true) = true,
inference(superposition,[status(thm),theory(equality)],[c_9374,c_30294]) ).
tff(c_30409,plain,
m5(d,d) = true,
inference(superposition,[status(thm),theory(equality)],[c_30313,c_2]) ).
tff(c_30416,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_726,c_30409]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SYN143-10 : TPTP v8.1.2. Released v7.3.0.
% 0.12/0.13 % 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
% 0.14/0.34 % Computer : n014.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.35 % DateTime : Thu Aug 3 17:22:33 EDT 2023
% 0.14/0.35 % CPUTime :
% 22.14/10.91 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 22.14/10.92
% 22.14/10.92 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 22.36/10.97
% 22.36/10.97 Inference rules
% 22.36/10.97 ----------------------
% 22.36/10.97 #Ref : 0
% 22.36/10.97 #Sup : 8042
% 22.36/10.97 #Fact : 0
% 22.36/10.97 #Define : 0
% 22.36/10.97 #Split : 0
% 22.36/10.97 #Chain : 0
% 22.36/10.97 #Close : 0
% 22.36/10.97
% 22.36/10.97 Ordering : KBO
% 22.36/10.97
% 22.36/10.97 Simplification rules
% 22.36/10.97 ----------------------
% 22.36/10.97 #Subsume : 0
% 22.36/10.97 #Demod : 9618
% 22.36/10.97 #Tautology : 7207
% 22.36/10.97 #SimpNegUnit : 1
% 22.36/10.97 #BackRed : 524
% 22.36/10.97
% 22.36/10.97 #Partial instantiations: 0
% 22.36/10.97 #Strategies tried : 1
% 22.36/10.97
% 22.36/10.97 Timing (in seconds)
% 22.36/10.97 ----------------------
% 22.36/10.97 Preprocessing : 1.02
% 22.36/10.97 Parsing : 0.58
% 22.36/10.97 CNF conversion : 0.07
% 22.36/10.97 Main loop : 8.81
% 22.36/10.97 Inferencing : 2.26
% 22.36/10.97 Reduction : 4.57
% 22.36/10.97 Demodulation : 3.94
% 22.36/10.97 BG Simplification : 0.08
% 22.36/10.98 Subsumption : 1.44
% 22.36/10.98 Abstraction : 0.06
% 22.36/10.98 MUC search : 0.00
% 22.36/10.98 Cooper : 0.00
% 22.36/10.98 Total : 9.90
% 22.36/10.98 Index Insertion : 0.00
% 22.36/10.98 Index Deletion : 0.00
% 22.36/10.98 Index Matching : 0.00
% 22.36/10.98 BG Taut test : 0.00
%------------------------------------------------------------------------------