TSTP Solution File: SYN102-1.007.007 by Beagle---0.9.51
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SYN102-1.007.007 : TPTP v8.1.2. Bugfixed v1.2.0.
% 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 : n013.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 11:09:37 EDT 2023
% Result : Unsatisfiable 11.72s 3.87s
% Output : CNFRefutation 11.72s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 73
% Syntax : Number of formulae : 185 ( 26 unt; 39 typ; 0 def)
% Number of atoms : 605 ( 0 equ)
% Maximal formula atoms : 12 ( 4 avg)
% Number of connectives : 935 ( 476 ~; 459 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 10 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 217 ( 37 >; 180 *; 0 +; 0 <<)
% Number of predicates : 38 ( 37 usr; 1 prp; 0-7 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 763 (; 763 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ q_9 > q_8 > q_7 > q_6 > q_5 > q_4 > q_3 > q_2 > q_14 > q_13 > q_12 > q_11 > q_10 > q_1 > q_0 > p_9 > p_8 > p_7 > p_6 > p_5 > p_4 > p_3 > p_2 > p_14 > p_13 > p_12 > p_11 > p_10 > p_1 > p_0 > nq_7 > nq_6 > nq_5 > nq_4 > nq_3 > nq_2 > nq_1 > #nlpp > b > a
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(nq_5,type,
nq_5: $i > $o ).
tff(q_7,type,
q_7: ( $i * $i * $i * $i * $i * $i * $i ) > $o ).
tff(a,type,
a: $i ).
tff(q_0,type,
q_0: ( $i * $i * $i * $i * $i * $i * $i ) > $o ).
tff(nq_2,type,
nq_2: $i > $o ).
tff(q_1,type,
q_1: ( $i * $i * $i * $i * $i * $i * $i ) > $o ).
tff(q_14,type,
q_14: ( $i * $i * $i * $i * $i * $i * $i ) > $o ).
tff(p_7,type,
p_7: ( $i * $i * $i * $i * $i * $i * $i ) > $o ).
tff(nq_4,type,
nq_4: $i > $o ).
tff(p_4,type,
p_4: ( $i * $i * $i * $i * $i * $i * $i ) > $o ).
tff(q_12,type,
q_12: ( $i * $i * $i * $i * $i * $i * $i ) > $o ).
tff(p_5,type,
p_5: ( $i * $i * $i * $i * $i * $i * $i ) > $o ).
tff(nq_7,type,
nq_7: $i > $o ).
tff(q_13,type,
q_13: ( $i * $i * $i * $i * $i * $i * $i ) > $o ).
tff(p_0,type,
p_0: ( $i * $i * $i * $i * $i * $i * $i ) > $o ).
tff(p_13,type,
p_13: ( $i * $i * $i * $i * $i * $i * $i ) > $o ).
tff(b,type,
b: $i ).
tff(q_5,type,
q_5: ( $i * $i * $i * $i * $i * $i * $i ) > $o ).
tff(q_9,type,
q_9: ( $i * $i * $i * $i * $i * $i * $i ) > $o ).
tff(q_2,type,
q_2: ( $i * $i * $i * $i * $i * $i * $i ) > $o ).
tff(p_6,type,
p_6: ( $i * $i * $i * $i * $i * $i * $i ) > $o ).
tff(p_9,type,
p_9: ( $i * $i * $i * $i * $i * $i * $i ) > $o ).
tff(q_4,type,
q_4: ( $i * $i * $i * $i * $i * $i * $i ) > $o ).
tff(p_1,type,
p_1: ( $i * $i * $i * $i * $i * $i * $i ) > $o ).
tff(p_3,type,
p_3: ( $i * $i * $i * $i * $i * $i * $i ) > $o ).
tff(q_10,type,
q_10: ( $i * $i * $i * $i * $i * $i * $i ) > $o ).
tff(nq_3,type,
nq_3: $i > $o ).
tff(p_11,type,
p_11: ( $i * $i * $i * $i * $i * $i * $i ) > $o ).
tff(p_14,type,
p_14: ( $i * $i * $i * $i * $i * $i * $i ) > $o ).
tff(p_12,type,
p_12: ( $i * $i * $i * $i * $i * $i * $i ) > $o ).
tff(p_10,type,
p_10: ( $i * $i * $i * $i * $i * $i * $i ) > $o ).
tff(p_2,type,
p_2: ( $i * $i * $i * $i * $i * $i * $i ) > $o ).
tff(q_6,type,
q_6: ( $i * $i * $i * $i * $i * $i * $i ) > $o ).
tff(q_3,type,
q_3: ( $i * $i * $i * $i * $i * $i * $i ) > $o ).
tff(q_11,type,
q_11: ( $i * $i * $i * $i * $i * $i * $i ) > $o ).
tff(q_8,type,
q_8: ( $i * $i * $i * $i * $i * $i * $i ) > $o ).
tff(nq_6,type,
nq_6: $i > $o ).
tff(nq_1,type,
nq_1: $i > $o ).
tff(p_8,type,
p_8: ( $i * $i * $i * $i * $i * $i * $i ) > $o ).
tff(f_525,axiom,
nq_1(a),
file(unknown,unknown) ).
tff(f_527,axiom,
nq_2(a),
file(unknown,unknown) ).
tff(f_529,axiom,
nq_3(a),
file(unknown,unknown) ).
tff(f_531,axiom,
nq_4(a),
file(unknown,unknown) ).
tff(f_533,axiom,
nq_5(a),
file(unknown,unknown) ).
tff(f_535,axiom,
nq_6(a),
file(unknown,unknown) ).
tff(f_537,axiom,
nq_7(a),
file(unknown,unknown) ).
tff(f_501,axiom,
! [X_3,X_4,X_2,X_6,X_7,X_5,X_1] :
( q_12(X_1,X_2,X_3,X_4,X_5,X_6,X_7)
| ~ nq_1(X_1)
| ~ nq_2(X_2)
| ~ nq_3(X_3)
| ~ nq_4(X_4)
| ~ nq_5(X_5)
| ~ nq_6(X_6)
| ~ nq_7(X_7) ),
file(unknown,unknown) ).
tff(f_524,axiom,
! [X_3,X_4,X_2,X_6,X_7,X_5,X_1] :
( q_13(X_1,X_2,X_3,X_4,X_5,X_6,X_7)
| ~ nq_1(X_1)
| ~ nq_2(X_2)
| ~ nq_3(X_3)
| ~ nq_4(X_4)
| ~ nq_5(X_5)
| ~ nq_6(X_6)
| ~ nq_7(X_7) ),
file(unknown,unknown) ).
tff(f_220,axiom,
! [X_3,X_4,X_2,X_6,X_7,X_5,X_1] :
( p_11(X_1,X_2,X_3,X_4,X_5,X_6,X_7)
| ~ q_12(X_1,X_2,X_3,X_4,X_5,X_6,X_7)
| ~ q_13(X_1,X_2,X_3,X_4,X_5,X_6,X_7) ),
file(unknown,unknown) ).
tff(f_388,axiom,
! [X_3,X_4,X_2,X_6,X_7,X_5,X_1] :
( q_10(X_1,X_2,X_3,X_4,X_5,X_6,X_7)
| ~ p_11(X_1,X_2,X_3,X_4,X_5,X_6,X_7)
| ~ q_12(X_1,X_2,X_3,X_4,X_5,X_6,X_7) ),
file(unknown,unknown) ).
tff(f_380,axiom,
! [X_3,X_4,X_2,X_6,X_7,X_5,X_1] :
( q_9(X_1,X_2,X_3,X_4,X_5,X_6,X_7)
| ~ q_10(X_1,X_2,X_3,X_4,X_5,X_6,X_7)
| ~ p_11(X_1,X_2,X_3,X_4,X_5,X_6,X_7) ),
file(unknown,unknown) ).
tff(f_340,axiom,
! [X_3,X_4,X_2,X_6,X_7,X_5,X_1] :
( q_7(X_1,X_2,X_3,X_4,X_5,X_6,X_7)
| ~ p_8(X_1,X_2,X_3,X_4,X_5,X_6,X_7)
| ~ q_9(X_1,X_2,X_3,X_4,X_5,X_6,X_7) ),
file(unknown,unknown) ).
tff(f_332,axiom,
! [X_3,X_4,X_2,X_6,X_7,X_5,X_1] :
( q_6(X_1,X_2,X_3,X_4,X_5,X_6,X_7)
| ~ q_7(X_1,X_2,X_3,X_4,X_5,X_6,X_7)
| ~ p_8(X_1,X_2,X_3,X_4,X_5,X_6,X_7) ),
file(unknown,unknown) ).
tff(f_292,axiom,
! [X_3,X_4,X_2,X_6,X_7,X_5,X_1] :
( q_4(X_1,X_2,X_3,X_4,X_5,X_6,X_7)
| ~ p_5(X_1,X_2,X_3,X_4,X_5,X_6,X_7)
| ~ q_6(X_1,X_2,X_3,X_4,X_5,X_6,X_7) ),
file(unknown,unknown) ).
tff(f_284,axiom,
! [X_3,X_4,X_2,X_6,X_7,X_5,X_1] :
( q_3(X_1,X_2,X_3,X_4,X_5,X_6,X_7)
| ~ q_4(X_1,X_2,X_3,X_4,X_5,X_6,X_7)
| ~ p_5(X_1,X_2,X_3,X_4,X_5,X_6,X_7) ),
file(unknown,unknown) ).
tff(f_244,axiom,
! [X_3,X_4,X_2,X_6,X_7,X_5,X_1] :
( q_1(X_1,X_2,X_3,X_4,X_5,X_6,X_7)
| ~ p_2(X_1,X_2,X_3,X_4,X_5,X_6,X_7)
| ~ q_3(X_1,X_2,X_3,X_4,X_5,X_6,X_7) ),
file(unknown,unknown) ).
tff(f_236,axiom,
! [X_3,X_4,X_2,X_6,X_7,X_5,X_1] :
( q_0(X_1,X_2,X_3,X_4,X_5,X_6,X_7)
| ~ q_1(X_1,X_2,X_3,X_4,X_5,X_6,X_7)
| ~ p_2(X_1,X_2,X_3,X_4,X_5,X_6,X_7) ),
file(unknown,unknown) ).
tff(f_455,axiom,
! [X_3,X_4,X_2,X_6,X_7,X_5,X_1] :
( p_12(X_1,X_2,X_3,X_4,X_5,X_6,X_7)
| ~ nq_1(X_1)
| ~ nq_2(X_2)
| ~ nq_3(X_3)
| ~ nq_4(X_4)
| ~ nq_5(X_5)
| ~ nq_6(X_6)
| ~ nq_7(X_7) ),
file(unknown,unknown) ).
tff(f_196,axiom,
! [X_3,X_4,X_2,X_6,X_7,X_5,X_1] :
( p_10(X_1,X_2,X_3,X_4,X_5,X_6,X_7)
| ~ p_11(X_1,X_2,X_3,X_4,X_5,X_6,X_7)
| ~ p_12(X_1,X_2,X_3,X_4,X_5,X_6,X_7) ),
file(unknown,unknown) ).
tff(f_180,axiom,
! [X_3,X_4,X_2,X_6,X_7,X_5,X_1] :
( p_9(X_1,X_2,X_3,X_4,X_5,X_6,X_7)
| ~ p_10(X_1,X_2,X_3,X_4,X_5,X_6,X_7)
| ~ p_11(X_1,X_2,X_3,X_4,X_5,X_6,X_7) ),
file(unknown,unknown) ).
tff(f_164,axiom,
! [X_3,X_4,X_2,X_6,X_7,X_5,X_1] :
( p_8(X_1,X_2,X_3,X_4,X_5,X_6,X_7)
| ~ p_9(X_1,X_2,X_3,X_4,X_5,X_6,X_7)
| ~ p_10(X_1,X_2,X_3,X_4,X_5,X_6,X_7) ),
file(unknown,unknown) ).
tff(f_148,axiom,
! [X_3,X_4,X_2,X_6,X_7,X_5,X_1] :
( p_7(X_1,X_2,X_3,X_4,X_5,X_6,X_7)
| ~ p_8(X_1,X_2,X_3,X_4,X_5,X_6,X_7)
| ~ p_9(X_1,X_2,X_3,X_4,X_5,X_6,X_7) ),
file(unknown,unknown) ).
tff(f_132,axiom,
! [X_3,X_4,X_2,X_6,X_7,X_5,X_1] :
( p_6(X_1,X_2,X_3,X_4,X_5,X_6,X_7)
| ~ p_7(X_1,X_2,X_3,X_4,X_5,X_6,X_7)
| ~ p_8(X_1,X_2,X_3,X_4,X_5,X_6,X_7) ),
file(unknown,unknown) ).
tff(f_116,axiom,
! [X_3,X_4,X_2,X_6,X_7,X_5,X_1] :
( p_5(X_1,X_2,X_3,X_4,X_5,X_6,X_7)
| ~ p_6(X_1,X_2,X_3,X_4,X_5,X_6,X_7)
| ~ p_7(X_1,X_2,X_3,X_4,X_5,X_6,X_7) ),
file(unknown,unknown) ).
tff(f_100,axiom,
! [X_3,X_4,X_2,X_6,X_7,X_5,X_1] :
( p_4(X_1,X_2,X_3,X_4,X_5,X_6,X_7)
| ~ p_5(X_1,X_2,X_3,X_4,X_5,X_6,X_7)
| ~ p_6(X_1,X_2,X_3,X_4,X_5,X_6,X_7) ),
file(unknown,unknown) ).
tff(f_84,axiom,
! [X_3,X_4,X_2,X_6,X_7,X_5,X_1] :
( p_3(X_1,X_2,X_3,X_4,X_5,X_6,X_7)
| ~ p_4(X_1,X_2,X_3,X_4,X_5,X_6,X_7)
| ~ p_5(X_1,X_2,X_3,X_4,X_5,X_6,X_7) ),
file(unknown,unknown) ).
tff(f_68,axiom,
! [X_3,X_4,X_2,X_6,X_7,X_5,X_1] :
( p_2(X_1,X_2,X_3,X_4,X_5,X_6,X_7)
| ~ p_3(X_1,X_2,X_3,X_4,X_5,X_6,X_7)
| ~ p_4(X_1,X_2,X_3,X_4,X_5,X_6,X_7) ),
file(unknown,unknown) ).
tff(f_52,axiom,
! [X_3,X_4,X_2,X_6,X_7,X_5,X_1] :
( p_1(X_1,X_2,X_3,X_4,X_5,X_6,X_7)
| ~ p_2(X_1,X_2,X_3,X_4,X_5,X_6,X_7)
| ~ p_3(X_1,X_2,X_3,X_4,X_5,X_6,X_7) ),
file(unknown,unknown) ).
tff(f_36,axiom,
! [X_3,X_4,X_2,X_6,X_7,X_5,X_1] :
( p_0(X_1,X_2,X_3,X_4,X_5,X_6,X_7)
| ~ p_1(X_1,X_2,X_3,X_4,X_5,X_6,X_7)
| ~ p_2(X_1,X_2,X_3,X_4,X_5,X_6,X_7) ),
file(unknown,unknown) ).
tff(f_28,axiom,
( ~ p_0(a,a,a,a,a,a,a)
| ~ q_0(a,a,a,a,a,a,a) ),
file(unknown,unknown) ).
tff(f_172,axiom,
! [X_3,X_4,X_2,X_6,X_7,X_5,X_1] :
( p_8(X_1,X_2,X_3,X_4,X_5,X_6,X_7)
| ~ q_9(X_1,X_2,X_3,X_4,X_5,X_6,X_7)
| ~ q_10(X_1,X_2,X_3,X_4,X_5,X_6,X_7) ),
file(unknown,unknown) ).
tff(f_124,axiom,
! [X_3,X_4,X_2,X_6,X_7,X_5,X_1] :
( p_5(X_1,X_2,X_3,X_4,X_5,X_6,X_7)
| ~ q_6(X_1,X_2,X_3,X_4,X_5,X_6,X_7)
| ~ q_7(X_1,X_2,X_3,X_4,X_5,X_6,X_7) ),
file(unknown,unknown) ).
tff(f_76,axiom,
! [X_3,X_4,X_2,X_6,X_7,X_5,X_1] :
( p_2(X_1,X_2,X_3,X_4,X_5,X_6,X_7)
| ~ q_3(X_1,X_2,X_3,X_4,X_5,X_6,X_7)
| ~ q_4(X_1,X_2,X_3,X_4,X_5,X_6,X_7) ),
file(unknown,unknown) ).
tff(c_116,plain,
nq_1(a),
inference(cnfTransformation,[status(thm)],[f_525]) ).
tff(c_120,plain,
nq_2(a),
inference(cnfTransformation,[status(thm)],[f_527]) ).
tff(c_124,plain,
nq_3(a),
inference(cnfTransformation,[status(thm)],[f_529]) ).
tff(c_128,plain,
nq_4(a),
inference(cnfTransformation,[status(thm)],[f_531]) ).
tff(c_132,plain,
nq_5(a),
inference(cnfTransformation,[status(thm)],[f_533]) ).
tff(c_136,plain,
nq_6(a),
inference(cnfTransformation,[status(thm)],[f_535]) ).
tff(c_140,plain,
nq_7(a),
inference(cnfTransformation,[status(thm)],[f_537]) ).
tff(c_112,plain,
! [X_5_384,X_7_383,X_1_385,X_6_382,X_3_379,X_2_381,X_4_380] :
( ~ nq_7(X_7_383)
| ~ nq_6(X_6_382)
| ~ nq_5(X_5_384)
| ~ nq_4(X_4_380)
| ~ nq_3(X_3_379)
| ~ nq_2(X_2_381)
| ~ nq_1(X_1_385)
| q_12(X_1_385,X_2_381,X_3_379,X_4_380,X_5_384,X_6_382,X_7_383) ),
inference(cnfTransformation,[status(thm)],[f_501]) ).
tff(c_114,plain,
! [X_5_391,X_7_390,X_6_389,X_2_388,X_3_386,X_4_387,X_1_392] :
( ~ nq_7(X_7_390)
| ~ nq_6(X_6_389)
| ~ nq_5(X_5_391)
| ~ nq_4(X_4_387)
| ~ nq_3(X_3_386)
| ~ nq_2(X_2_388)
| ~ nq_1(X_1_392)
| q_13(X_1_392,X_2_388,X_3_386,X_4_387,X_5_391,X_6_389,X_7_390) ),
inference(cnfTransformation,[status(thm)],[f_524]) ).
tff(c_1149,plain,
! [X_7_1681,X_1_1683,X_4_1684,X_2_1685,X_6_1686,X_3_1682,X_5_1687] :
( ~ q_13(X_1_1683,X_2_1685,X_3_1682,X_4_1684,X_5_1687,X_6_1686,X_7_1681)
| ~ q_12(X_1_1683,X_2_1685,X_3_1682,X_4_1684,X_5_1687,X_6_1686,X_7_1681)
| p_11(X_1_1683,X_2_1685,X_3_1682,X_4_1684,X_5_1687,X_6_1686,X_7_1681) ),
inference(cnfTransformation,[status(thm)],[f_220]) ).
tff(c_1247,plain,
! [X_6_1864,X_1_1867,X_3_1866,X_5_1863,X_7_1868,X_4_1869,X_2_1865] :
( ~ q_12(X_1_1867,X_2_1865,X_3_1866,X_4_1869,X_5_1863,X_6_1864,X_7_1868)
| p_11(X_1_1867,X_2_1865,X_3_1866,X_4_1869,X_5_1863,X_6_1864,X_7_1868)
| ~ nq_7(X_7_1868)
| ~ nq_6(X_6_1864)
| ~ nq_5(X_5_1863)
| ~ nq_4(X_4_1869)
| ~ nq_3(X_3_1866)
| ~ nq_2(X_2_1865)
| ~ nq_1(X_1_1867) ),
inference(resolution,[status(thm)],[c_114,c_1149]) ).
tff(c_1251,plain,
! [X_5_384,X_7_383,X_1_385,X_6_382,X_3_379,X_2_381,X_4_380] :
( p_11(X_1_385,X_2_381,X_3_379,X_4_380,X_5_384,X_6_382,X_7_383)
| ~ nq_7(X_7_383)
| ~ nq_6(X_6_382)
| ~ nq_5(X_5_384)
| ~ nq_4(X_4_380)
| ~ nq_3(X_3_379)
| ~ nq_2(X_2_381)
| ~ nq_1(X_1_385) ),
inference(resolution,[status(thm)],[c_112,c_1247]) ).
tff(c_1088,plain,
! [X_5_1506,X_4_1507,X_6_1508,X_3_1510,X_7_1512,X_2_1511,X_1_1509] :
( ~ q_12(X_1_1509,X_2_1511,X_3_1510,X_4_1507,X_5_1506,X_6_1508,X_7_1512)
| ~ p_11(X_1_1509,X_2_1511,X_3_1510,X_4_1507,X_5_1506,X_6_1508,X_7_1512)
| q_10(X_1_1509,X_2_1511,X_3_1510,X_4_1507,X_5_1506,X_6_1508,X_7_1512) ),
inference(cnfTransformation,[status(thm)],[f_388]) ).
tff(c_1092,plain,
! [X_5_384,X_7_383,X_1_385,X_6_382,X_3_379,X_2_381,X_4_380] :
( ~ p_11(X_1_385,X_2_381,X_3_379,X_4_380,X_5_384,X_6_382,X_7_383)
| q_10(X_1_385,X_2_381,X_3_379,X_4_380,X_5_384,X_6_382,X_7_383)
| ~ nq_7(X_7_383)
| ~ nq_6(X_6_382)
| ~ nq_5(X_5_384)
| ~ nq_4(X_4_380)
| ~ nq_3(X_3_379)
| ~ nq_2(X_2_381)
| ~ nq_1(X_1_385) ),
inference(resolution,[status(thm)],[c_112,c_1088]) ).
tff(c_1115,plain,
! [X_4_1584,X_3_1587,X_2_1586,X_7_1583,X_1_1585,X_6_1588,X_5_1589] :
( ~ p_11(X_1_1585,X_2_1586,X_3_1587,X_4_1584,X_5_1589,X_6_1588,X_7_1583)
| ~ q_10(X_1_1585,X_2_1586,X_3_1587,X_4_1584,X_5_1589,X_6_1588,X_7_1583)
| q_9(X_1_1585,X_2_1586,X_3_1587,X_4_1584,X_5_1589,X_6_1588,X_7_1583) ),
inference(cnfTransformation,[status(thm)],[f_380]) ).
tff(c_80,plain,
! [X_4_268,X_7_271,X_5_272,X_1_273,X_6_270,X_3_267,X_2_269] :
( ~ q_9(X_1_273,X_2_269,X_3_267,X_4_268,X_5_272,X_6_270,X_7_271)
| ~ p_8(X_1_273,X_2_269,X_3_267,X_4_268,X_5_272,X_6_270,X_7_271)
| q_7(X_1_273,X_2_269,X_3_267,X_4_268,X_5_272,X_6_270,X_7_271) ),
inference(cnfTransformation,[status(thm)],[f_340]) ).
tff(c_1318,plain,
! [X_7_1945,X_5_1941,X_3_1942,X_6_1940,X_2_1944,X_1_1943,X_4_1946] :
( ~ p_8(X_1_1943,X_2_1944,X_3_1942,X_4_1946,X_5_1941,X_6_1940,X_7_1945)
| q_7(X_1_1943,X_2_1944,X_3_1942,X_4_1946,X_5_1941,X_6_1940,X_7_1945)
| ~ p_11(X_1_1943,X_2_1944,X_3_1942,X_4_1946,X_5_1941,X_6_1940,X_7_1945)
| ~ q_10(X_1_1943,X_2_1944,X_3_1942,X_4_1946,X_5_1941,X_6_1940,X_7_1945) ),
inference(resolution,[status(thm)],[c_1115,c_80]) ).
tff(c_78,plain,
! [X_5_265,X_3_260,X_7_264,X_1_266,X_6_263,X_2_262,X_4_261] :
( ~ p_8(X_1_266,X_2_262,X_3_260,X_4_261,X_5_265,X_6_263,X_7_264)
| ~ q_7(X_1_266,X_2_262,X_3_260,X_4_261,X_5_265,X_6_263,X_7_264)
| q_6(X_1_266,X_2_262,X_3_260,X_4_261,X_5_265,X_6_263,X_7_264) ),
inference(cnfTransformation,[status(thm)],[f_332]) ).
tff(c_1441,plain,
! [X_6_2018,X_4_2017,X_7_2019,X_3_2021,X_1_2020,X_2_2023,X_5_2022] :
( q_6(X_1_2020,X_2_2023,X_3_2021,X_4_2017,X_5_2022,X_6_2018,X_7_2019)
| ~ p_8(X_1_2020,X_2_2023,X_3_2021,X_4_2017,X_5_2022,X_6_2018,X_7_2019)
| ~ p_11(X_1_2020,X_2_2023,X_3_2021,X_4_2017,X_5_2022,X_6_2018,X_7_2019)
| ~ q_10(X_1_2020,X_2_2023,X_3_2021,X_4_2017,X_5_2022,X_6_2018,X_7_2019) ),
inference(resolution,[status(thm)],[c_1318,c_78]) ).
tff(c_68,plain,
! [X_7_229,X_2_227,X_3_225,X_4_226,X_5_230,X_6_228,X_1_231] :
( ~ q_6(X_1_231,X_2_227,X_3_225,X_4_226,X_5_230,X_6_228,X_7_229)
| ~ p_5(X_1_231,X_2_227,X_3_225,X_4_226,X_5_230,X_6_228,X_7_229)
| q_4(X_1_231,X_2_227,X_3_225,X_4_226,X_5_230,X_6_228,X_7_229) ),
inference(cnfTransformation,[status(thm)],[f_292]) ).
tff(c_2479,plain,
! [X_1_2707,X_7_2703,X_4_2709,X_3_2706,X_2_2704,X_6_2705,X_5_2708] :
( ~ p_5(X_1_2707,X_2_2704,X_3_2706,X_4_2709,X_5_2708,X_6_2705,X_7_2703)
| q_4(X_1_2707,X_2_2704,X_3_2706,X_4_2709,X_5_2708,X_6_2705,X_7_2703)
| ~ p_8(X_1_2707,X_2_2704,X_3_2706,X_4_2709,X_5_2708,X_6_2705,X_7_2703)
| ~ p_11(X_1_2707,X_2_2704,X_3_2706,X_4_2709,X_5_2708,X_6_2705,X_7_2703)
| ~ q_10(X_1_2707,X_2_2704,X_3_2706,X_4_2709,X_5_2708,X_6_2705,X_7_2703) ),
inference(resolution,[status(thm)],[c_1441,c_68]) ).
tff(c_66,plain,
! [X_5_223,X_3_218,X_1_224,X_2_220,X_4_219,X_7_222,X_6_221] :
( ~ p_5(X_1_224,X_2_220,X_3_218,X_4_219,X_5_223,X_6_221,X_7_222)
| ~ q_4(X_1_224,X_2_220,X_3_218,X_4_219,X_5_223,X_6_221,X_7_222)
| q_3(X_1_224,X_2_220,X_3_218,X_4_219,X_5_223,X_6_221,X_7_222) ),
inference(cnfTransformation,[status(thm)],[f_284]) ).
tff(c_2606,plain,
! [X_2_2758,X_3_2757,X_6_2752,X_4_2755,X_5_2753,X_1_2754,X_7_2756] :
( q_3(X_1_2754,X_2_2758,X_3_2757,X_4_2755,X_5_2753,X_6_2752,X_7_2756)
| ~ p_5(X_1_2754,X_2_2758,X_3_2757,X_4_2755,X_5_2753,X_6_2752,X_7_2756)
| ~ p_8(X_1_2754,X_2_2758,X_3_2757,X_4_2755,X_5_2753,X_6_2752,X_7_2756)
| ~ p_11(X_1_2754,X_2_2758,X_3_2757,X_4_2755,X_5_2753,X_6_2752,X_7_2756)
| ~ q_10(X_1_2754,X_2_2758,X_3_2757,X_4_2755,X_5_2753,X_6_2752,X_7_2756) ),
inference(resolution,[status(thm)],[c_2479,c_66]) ).
tff(c_56,plain,
! [X_7_187,X_6_186,X_2_185,X_4_184,X_5_188,X_3_183,X_1_189] :
( ~ q_3(X_1_189,X_2_185,X_3_183,X_4_184,X_5_188,X_6_186,X_7_187)
| ~ p_2(X_1_189,X_2_185,X_3_183,X_4_184,X_5_188,X_6_186,X_7_187)
| q_1(X_1_189,X_2_185,X_3_183,X_4_184,X_5_188,X_6_186,X_7_187) ),
inference(cnfTransformation,[status(thm)],[f_244]) ).
tff(c_4898,plain,
! [X_2_3595,X_1_3594,X_7_3598,X_6_3597,X_4_3593,X_5_3592,X_3_3596] :
( ~ p_2(X_1_3594,X_2_3595,X_3_3596,X_4_3593,X_5_3592,X_6_3597,X_7_3598)
| q_1(X_1_3594,X_2_3595,X_3_3596,X_4_3593,X_5_3592,X_6_3597,X_7_3598)
| ~ p_5(X_1_3594,X_2_3595,X_3_3596,X_4_3593,X_5_3592,X_6_3597,X_7_3598)
| ~ p_8(X_1_3594,X_2_3595,X_3_3596,X_4_3593,X_5_3592,X_6_3597,X_7_3598)
| ~ p_11(X_1_3594,X_2_3595,X_3_3596,X_4_3593,X_5_3592,X_6_3597,X_7_3598)
| ~ q_10(X_1_3594,X_2_3595,X_3_3596,X_4_3593,X_5_3592,X_6_3597,X_7_3598) ),
inference(resolution,[status(thm)],[c_2606,c_56]) ).
tff(c_6700,plain,
! [X_6_4169,X_5_4166,X_1_4170,X_7_4171,X_4_4172,X_2_4168,X_3_4167] :
( ~ p_2(X_1_4170,X_2_4168,X_3_4167,X_4_4172,X_5_4166,X_6_4169,X_7_4171)
| q_1(X_1_4170,X_2_4168,X_3_4167,X_4_4172,X_5_4166,X_6_4169,X_7_4171)
| ~ p_5(X_1_4170,X_2_4168,X_3_4167,X_4_4172,X_5_4166,X_6_4169,X_7_4171)
| ~ p_8(X_1_4170,X_2_4168,X_3_4167,X_4_4172,X_5_4166,X_6_4169,X_7_4171)
| ~ p_11(X_1_4170,X_2_4168,X_3_4167,X_4_4172,X_5_4166,X_6_4169,X_7_4171)
| ~ nq_7(X_7_4171)
| ~ nq_6(X_6_4169)
| ~ nq_5(X_5_4166)
| ~ nq_4(X_4_4172)
| ~ nq_3(X_3_4167)
| ~ nq_2(X_2_4168)
| ~ nq_1(X_1_4170) ),
inference(resolution,[status(thm)],[c_1092,c_4898]) ).
tff(c_54,plain,
! [X_1_182,X_2_178,X_6_179,X_5_181,X_7_180,X_3_176,X_4_177] :
( ~ p_2(X_1_182,X_2_178,X_3_176,X_4_177,X_5_181,X_6_179,X_7_180)
| ~ q_1(X_1_182,X_2_178,X_3_176,X_4_177,X_5_181,X_6_179,X_7_180)
| q_0(X_1_182,X_2_178,X_3_176,X_4_177,X_5_181,X_6_179,X_7_180) ),
inference(cnfTransformation,[status(thm)],[f_236]) ).
tff(c_6718,plain,
! [X_1_4183,X_6_4181,X_7_4184,X_5_4185,X_3_4186,X_2_4182,X_4_4180] :
( q_0(X_1_4183,X_2_4182,X_3_4186,X_4_4180,X_5_4185,X_6_4181,X_7_4184)
| ~ p_2(X_1_4183,X_2_4182,X_3_4186,X_4_4180,X_5_4185,X_6_4181,X_7_4184)
| ~ p_5(X_1_4183,X_2_4182,X_3_4186,X_4_4180,X_5_4185,X_6_4181,X_7_4184)
| ~ p_8(X_1_4183,X_2_4182,X_3_4186,X_4_4180,X_5_4185,X_6_4181,X_7_4184)
| ~ p_11(X_1_4183,X_2_4182,X_3_4186,X_4_4180,X_5_4185,X_6_4181,X_7_4184)
| ~ nq_7(X_7_4184)
| ~ nq_6(X_6_4181)
| ~ nq_5(X_5_4185)
| ~ nq_4(X_4_4180)
| ~ nq_3(X_3_4186)
| ~ nq_2(X_2_4182)
| ~ nq_1(X_1_4183) ),
inference(resolution,[status(thm)],[c_6700,c_54]) ).
tff(c_185,plain,
! [X_4_543,X_5_546,X_7_540,X_1_542,X_2_544,X_3_541,X_6_545] :
( ~ q_13(X_1_542,X_2_544,X_3_541,X_4_543,X_5_546,X_6_545,X_7_540)
| ~ q_12(X_1_542,X_2_544,X_3_541,X_4_543,X_5_546,X_6_545,X_7_540)
| p_11(X_1_542,X_2_544,X_3_541,X_4_543,X_5_546,X_6_545,X_7_540) ),
inference(cnfTransformation,[status(thm)],[f_220]) ).
tff(c_331,plain,
! [X_7_839,X_2_836,X_3_837,X_6_835,X_1_838,X_4_840,X_5_834] :
( ~ q_12(X_1_838,X_2_836,X_3_837,X_4_840,X_5_834,X_6_835,X_7_839)
| p_11(X_1_838,X_2_836,X_3_837,X_4_840,X_5_834,X_6_835,X_7_839)
| ~ nq_7(X_7_839)
| ~ nq_6(X_6_835)
| ~ nq_5(X_5_834)
| ~ nq_4(X_4_840)
| ~ nq_3(X_3_837)
| ~ nq_2(X_2_836)
| ~ nq_1(X_1_838) ),
inference(resolution,[status(thm)],[c_114,c_185]) ).
tff(c_335,plain,
! [X_5_384,X_7_383,X_1_385,X_6_382,X_3_379,X_2_381,X_4_380] :
( p_11(X_1_385,X_2_381,X_3_379,X_4_380,X_5_384,X_6_382,X_7_383)
| ~ nq_7(X_7_383)
| ~ nq_6(X_6_382)
| ~ nq_5(X_5_384)
| ~ nq_4(X_4_380)
| ~ nq_3(X_3_379)
| ~ nq_2(X_2_381)
| ~ nq_1(X_1_385) ),
inference(resolution,[status(thm)],[c_112,c_331]) ).
tff(c_108,plain,
! [X_3_365,X_2_367,X_6_368,X_5_370,X_7_369,X_4_366,X_1_371] :
( ~ nq_7(X_7_369)
| ~ nq_6(X_6_368)
| ~ nq_5(X_5_370)
| ~ nq_4(X_4_366)
| ~ nq_3(X_3_365)
| ~ nq_2(X_2_367)
| ~ nq_1(X_1_371)
| p_12(X_1_371,X_2_367,X_3_365,X_4_366,X_5_370,X_6_368,X_7_369) ),
inference(cnfTransformation,[status(thm)],[f_455]) ).
tff(c_208,plain,
! [X_3_647,X_2_648,X_7_651,X_1_650,X_4_649,X_5_645,X_6_646] :
( ~ p_12(X_1_650,X_2_648,X_3_647,X_4_649,X_5_645,X_6_646,X_7_651)
| ~ p_11(X_1_650,X_2_648,X_3_647,X_4_649,X_5_645,X_6_646,X_7_651)
| p_10(X_1_650,X_2_648,X_3_647,X_4_649,X_5_645,X_6_646,X_7_651) ),
inference(cnfTransformation,[status(thm)],[f_196]) ).
tff(c_355,plain,
! [X_3_867,X_5_862,X_6_863,X_1_864,X_2_866,X_4_865,X_7_868] :
( ~ p_11(X_1_864,X_2_866,X_3_867,X_4_865,X_5_862,X_6_863,X_7_868)
| p_10(X_1_864,X_2_866,X_3_867,X_4_865,X_5_862,X_6_863,X_7_868)
| ~ nq_7(X_7_868)
| ~ nq_6(X_6_863)
| ~ nq_5(X_5_862)
| ~ nq_4(X_4_865)
| ~ nq_3(X_3_867)
| ~ nq_2(X_2_866)
| ~ nq_1(X_1_864) ),
inference(resolution,[status(thm)],[c_108,c_208]) ).
tff(c_359,plain,
! [X_5_384,X_7_383,X_1_385,X_6_382,X_3_379,X_2_381,X_4_380] :
( p_10(X_1_385,X_2_381,X_3_379,X_4_380,X_5_384,X_6_382,X_7_383)
| ~ nq_7(X_7_383)
| ~ nq_6(X_6_382)
| ~ nq_5(X_5_384)
| ~ nq_4(X_4_380)
| ~ nq_3(X_3_379)
| ~ nq_2(X_2_381)
| ~ nq_1(X_1_385) ),
inference(resolution,[status(thm)],[c_335,c_355]) ).
tff(c_262,plain,
! [X_2_774,X_5_772,X_3_776,X_6_771,X_4_773,X_1_775,X_7_777] :
( ~ p_11(X_1_775,X_2_774,X_3_776,X_4_773,X_5_772,X_6_771,X_7_777)
| ~ p_10(X_1_775,X_2_774,X_3_776,X_4_773,X_5_772,X_6_771,X_7_777)
| p_9(X_1_775,X_2_774,X_3_776,X_4_773,X_5_772,X_6_771,X_7_777) ),
inference(cnfTransformation,[status(thm)],[f_180]) ).
tff(c_36,plain,
! [X_3_113,X_2_115,X_5_118,X_7_117,X_4_114,X_1_119,X_6_116] :
( ~ p_10(X_1_119,X_2_115,X_3_113,X_4_114,X_5_118,X_6_116,X_7_117)
| ~ p_9(X_1_119,X_2_115,X_3_113,X_4_114,X_5_118,X_6_116,X_7_117)
| p_8(X_1_119,X_2_115,X_3_113,X_4_114,X_5_118,X_6_116,X_7_117) ),
inference(cnfTransformation,[status(thm)],[f_164]) ).
tff(c_269,plain,
! [X_2_774,X_5_772,X_3_776,X_6_771,X_4_773,X_1_775,X_7_777] :
( p_8(X_1_775,X_2_774,X_3_776,X_4_773,X_5_772,X_6_771,X_7_777)
| ~ p_11(X_1_775,X_2_774,X_3_776,X_4_773,X_5_772,X_6_771,X_7_777)
| ~ p_10(X_1_775,X_2_774,X_3_776,X_4_773,X_5_772,X_6_771,X_7_777) ),
inference(resolution,[status(thm)],[c_262,c_36]) ).
tff(c_32,plain,
! [X_1_105,X_5_104,X_6_102,X_2_101,X_3_99,X_4_100,X_7_103] :
( ~ p_9(X_1_105,X_2_101,X_3_99,X_4_100,X_5_104,X_6_102,X_7_103)
| ~ p_8(X_1_105,X_2_101,X_3_99,X_4_100,X_5_104,X_6_102,X_7_103)
| p_7(X_1_105,X_2_101,X_3_99,X_4_100,X_5_104,X_6_102,X_7_103) ),
inference(cnfTransformation,[status(thm)],[f_148]) ).
tff(c_427,plain,
! [X_7_918,X_6_923,X_5_921,X_3_919,X_2_922,X_4_924,X_1_920] :
( ~ p_8(X_1_920,X_2_922,X_3_919,X_4_924,X_5_921,X_6_923,X_7_918)
| p_7(X_1_920,X_2_922,X_3_919,X_4_924,X_5_921,X_6_923,X_7_918)
| ~ p_11(X_1_920,X_2_922,X_3_919,X_4_924,X_5_921,X_6_923,X_7_918)
| ~ p_10(X_1_920,X_2_922,X_3_919,X_4_924,X_5_921,X_6_923,X_7_918) ),
inference(resolution,[status(thm)],[c_262,c_32]) ).
tff(c_435,plain,
! [X_2_774,X_5_772,X_3_776,X_6_771,X_4_773,X_1_775,X_7_777] :
( p_7(X_1_775,X_2_774,X_3_776,X_4_773,X_5_772,X_6_771,X_7_777)
| ~ p_11(X_1_775,X_2_774,X_3_776,X_4_773,X_5_772,X_6_771,X_7_777)
| ~ p_10(X_1_775,X_2_774,X_3_776,X_4_773,X_5_772,X_6_771,X_7_777) ),
inference(resolution,[status(thm)],[c_269,c_427]) ).
tff(c_281,plain,
! [X_7_792,X_3_793,X_2_796,X_6_797,X_4_798,X_5_795,X_1_794] :
( p_8(X_1_794,X_2_796,X_3_793,X_4_798,X_5_795,X_6_797,X_7_792)
| ~ p_11(X_1_794,X_2_796,X_3_793,X_4_798,X_5_795,X_6_797,X_7_792)
| ~ p_10(X_1_794,X_2_796,X_3_793,X_4_798,X_5_795,X_6_797,X_7_792) ),
inference(resolution,[status(thm)],[c_262,c_36]) ).
tff(c_28,plain,
! [X_1_91,X_7_89,X_2_87,X_6_88,X_5_90,X_3_85,X_4_86] :
( ~ p_8(X_1_91,X_2_87,X_3_85,X_4_86,X_5_90,X_6_88,X_7_89)
| ~ p_7(X_1_91,X_2_87,X_3_85,X_4_86,X_5_90,X_6_88,X_7_89)
| p_6(X_1_91,X_2_87,X_3_85,X_4_86,X_5_90,X_6_88,X_7_89) ),
inference(cnfTransformation,[status(thm)],[f_132]) ).
tff(c_594,plain,
! [X_2_1028,X_6_1029,X_5_1024,X_3_1023,X_1_1026,X_4_1025,X_7_1027] :
( ~ p_7(X_1_1026,X_2_1028,X_3_1023,X_4_1025,X_5_1024,X_6_1029,X_7_1027)
| p_6(X_1_1026,X_2_1028,X_3_1023,X_4_1025,X_5_1024,X_6_1029,X_7_1027)
| ~ p_11(X_1_1026,X_2_1028,X_3_1023,X_4_1025,X_5_1024,X_6_1029,X_7_1027)
| ~ p_10(X_1_1026,X_2_1028,X_3_1023,X_4_1025,X_5_1024,X_6_1029,X_7_1027) ),
inference(resolution,[status(thm)],[c_281,c_28]) ).
tff(c_598,plain,
! [X_2_774,X_5_772,X_3_776,X_6_771,X_4_773,X_1_775,X_7_777] :
( p_6(X_1_775,X_2_774,X_3_776,X_4_773,X_5_772,X_6_771,X_7_777)
| ~ p_11(X_1_775,X_2_774,X_3_776,X_4_773,X_5_772,X_6_771,X_7_777)
| ~ p_10(X_1_775,X_2_774,X_3_776,X_4_773,X_5_772,X_6_771,X_7_777) ),
inference(resolution,[status(thm)],[c_435,c_594]) ).
tff(c_445,plain,
! [X_2_936,X_3_933,X_1_934,X_7_932,X_6_937,X_4_938,X_5_935] :
( p_7(X_1_934,X_2_936,X_3_933,X_4_938,X_5_935,X_6_937,X_7_932)
| ~ p_11(X_1_934,X_2_936,X_3_933,X_4_938,X_5_935,X_6_937,X_7_932)
| ~ p_10(X_1_934,X_2_936,X_3_933,X_4_938,X_5_935,X_6_937,X_7_932) ),
inference(resolution,[status(thm)],[c_269,c_427]) ).
tff(c_24,plain,
! [X_6_74,X_1_77,X_7_75,X_4_72,X_3_71,X_5_76,X_2_73] :
( ~ p_7(X_1_77,X_2_73,X_3_71,X_4_72,X_5_76,X_6_74,X_7_75)
| ~ p_6(X_1_77,X_2_73,X_3_71,X_4_72,X_5_76,X_6_74,X_7_75)
| p_5(X_1_77,X_2_73,X_3_71,X_4_72,X_5_76,X_6_74,X_7_75) ),
inference(cnfTransformation,[status(thm)],[f_116]) ).
tff(c_776,plain,
! [X_7_1153,X_1_1155,X_6_1154,X_3_1151,X_4_1150,X_2_1149,X_5_1152] :
( ~ p_6(X_1_1155,X_2_1149,X_3_1151,X_4_1150,X_5_1152,X_6_1154,X_7_1153)
| p_5(X_1_1155,X_2_1149,X_3_1151,X_4_1150,X_5_1152,X_6_1154,X_7_1153)
| ~ p_11(X_1_1155,X_2_1149,X_3_1151,X_4_1150,X_5_1152,X_6_1154,X_7_1153)
| ~ p_10(X_1_1155,X_2_1149,X_3_1151,X_4_1150,X_5_1152,X_6_1154,X_7_1153) ),
inference(resolution,[status(thm)],[c_445,c_24]) ).
tff(c_780,plain,
! [X_2_774,X_5_772,X_3_776,X_6_771,X_4_773,X_1_775,X_7_777] :
( p_5(X_1_775,X_2_774,X_3_776,X_4_773,X_5_772,X_6_771,X_7_777)
| ~ p_11(X_1_775,X_2_774,X_3_776,X_4_773,X_5_772,X_6_771,X_7_777)
| ~ p_10(X_1_775,X_2_774,X_3_776,X_4_773,X_5_772,X_6_771,X_7_777) ),
inference(resolution,[status(thm)],[c_598,c_776]) ).
tff(c_599,plain,
! [X_2_1034,X_7_1030,X_3_1031,X_1_1032,X_6_1035,X_5_1033,X_4_1036] :
( p_6(X_1_1032,X_2_1034,X_3_1031,X_4_1036,X_5_1033,X_6_1035,X_7_1030)
| ~ p_11(X_1_1032,X_2_1034,X_3_1031,X_4_1036,X_5_1033,X_6_1035,X_7_1030)
| ~ p_10(X_1_1032,X_2_1034,X_3_1031,X_4_1036,X_5_1033,X_6_1035,X_7_1030) ),
inference(resolution,[status(thm)],[c_435,c_594]) ).
tff(c_20,plain,
! [X_3_57,X_4_58,X_7_61,X_2_59,X_6_60,X_5_62,X_1_63] :
( ~ p_6(X_1_63,X_2_59,X_3_57,X_4_58,X_5_62,X_6_60,X_7_61)
| ~ p_5(X_1_63,X_2_59,X_3_57,X_4_58,X_5_62,X_6_60,X_7_61)
| p_4(X_1_63,X_2_59,X_3_57,X_4_58,X_5_62,X_6_60,X_7_61) ),
inference(cnfTransformation,[status(thm)],[f_100]) ).
tff(c_826,plain,
! [X_6_1194,X_4_1195,X_7_1192,X_2_1197,X_3_1193,X_1_1191,X_5_1196] :
( ~ p_5(X_1_1191,X_2_1197,X_3_1193,X_4_1195,X_5_1196,X_6_1194,X_7_1192)
| p_4(X_1_1191,X_2_1197,X_3_1193,X_4_1195,X_5_1196,X_6_1194,X_7_1192)
| ~ p_11(X_1_1191,X_2_1197,X_3_1193,X_4_1195,X_5_1196,X_6_1194,X_7_1192)
| ~ p_10(X_1_1191,X_2_1197,X_3_1193,X_4_1195,X_5_1196,X_6_1194,X_7_1192) ),
inference(resolution,[status(thm)],[c_599,c_20]) ).
tff(c_830,plain,
! [X_2_774,X_5_772,X_3_776,X_6_771,X_4_773,X_1_775,X_7_777] :
( p_4(X_1_775,X_2_774,X_3_776,X_4_773,X_5_772,X_6_771,X_7_777)
| ~ p_11(X_1_775,X_2_774,X_3_776,X_4_773,X_5_772,X_6_771,X_7_777)
| ~ p_10(X_1_775,X_2_774,X_3_776,X_4_773,X_5_772,X_6_771,X_7_777) ),
inference(resolution,[status(thm)],[c_780,c_826]) ).
tff(c_781,plain,
! [X_4_1162,X_3_1157,X_1_1158,X_5_1159,X_6_1161,X_2_1160,X_7_1156] :
( p_5(X_1_1158,X_2_1160,X_3_1157,X_4_1162,X_5_1159,X_6_1161,X_7_1156)
| ~ p_11(X_1_1158,X_2_1160,X_3_1157,X_4_1162,X_5_1159,X_6_1161,X_7_1156)
| ~ p_10(X_1_1158,X_2_1160,X_3_1157,X_4_1162,X_5_1159,X_6_1161,X_7_1156) ),
inference(resolution,[status(thm)],[c_598,c_776]) ).
tff(c_16,plain,
! [X_5_48,X_7_47,X_6_46,X_2_45,X_3_43,X_1_49,X_4_44] :
( ~ p_5(X_1_49,X_2_45,X_3_43,X_4_44,X_5_48,X_6_46,X_7_47)
| ~ p_4(X_1_49,X_2_45,X_3_43,X_4_44,X_5_48,X_6_46,X_7_47)
| p_3(X_1_49,X_2_45,X_3_43,X_4_44,X_5_48,X_6_46,X_7_47) ),
inference(cnfTransformation,[status(thm)],[f_84]) ).
tff(c_836,plain,
! [X_2_1207,X_1_1205,X_3_1210,X_7_1206,X_5_1208,X_6_1211,X_4_1209] :
( ~ p_4(X_1_1205,X_2_1207,X_3_1210,X_4_1209,X_5_1208,X_6_1211,X_7_1206)
| p_3(X_1_1205,X_2_1207,X_3_1210,X_4_1209,X_5_1208,X_6_1211,X_7_1206)
| ~ p_11(X_1_1205,X_2_1207,X_3_1210,X_4_1209,X_5_1208,X_6_1211,X_7_1206)
| ~ p_10(X_1_1205,X_2_1207,X_3_1210,X_4_1209,X_5_1208,X_6_1211,X_7_1206) ),
inference(resolution,[status(thm)],[c_781,c_16]) ).
tff(c_840,plain,
! [X_2_774,X_5_772,X_3_776,X_6_771,X_4_773,X_1_775,X_7_777] :
( p_3(X_1_775,X_2_774,X_3_776,X_4_773,X_5_772,X_6_771,X_7_777)
| ~ p_11(X_1_775,X_2_774,X_3_776,X_4_773,X_5_772,X_6_771,X_7_777)
| ~ p_10(X_1_775,X_2_774,X_3_776,X_4_773,X_5_772,X_6_771,X_7_777) ),
inference(resolution,[status(thm)],[c_830,c_836]) ).
tff(c_831,plain,
! [X_2_1202,X_6_1203,X_4_1204,X_7_1198,X_1_1200,X_5_1201,X_3_1199] :
( p_4(X_1_1200,X_2_1202,X_3_1199,X_4_1204,X_5_1201,X_6_1203,X_7_1198)
| ~ p_11(X_1_1200,X_2_1202,X_3_1199,X_4_1204,X_5_1201,X_6_1203,X_7_1198)
| ~ p_10(X_1_1200,X_2_1202,X_3_1199,X_4_1204,X_5_1201,X_6_1203,X_7_1198) ),
inference(resolution,[status(thm)],[c_780,c_826]) ).
tff(c_12,plain,
! [X_7_33,X_3_29,X_1_35,X_4_30,X_6_32,X_2_31,X_5_34] :
( ~ p_4(X_1_35,X_2_31,X_3_29,X_4_30,X_5_34,X_6_32,X_7_33)
| ~ p_3(X_1_35,X_2_31,X_3_29,X_4_30,X_5_34,X_6_32,X_7_33)
| p_2(X_1_35,X_2_31,X_3_29,X_4_30,X_5_34,X_6_32,X_7_33) ),
inference(cnfTransformation,[status(thm)],[f_68]) ).
tff(c_846,plain,
! [X_7_1224,X_3_1221,X_4_1223,X_6_1220,X_1_1225,X_5_1219,X_2_1222] :
( ~ p_3(X_1_1225,X_2_1222,X_3_1221,X_4_1223,X_5_1219,X_6_1220,X_7_1224)
| p_2(X_1_1225,X_2_1222,X_3_1221,X_4_1223,X_5_1219,X_6_1220,X_7_1224)
| ~ p_11(X_1_1225,X_2_1222,X_3_1221,X_4_1223,X_5_1219,X_6_1220,X_7_1224)
| ~ p_10(X_1_1225,X_2_1222,X_3_1221,X_4_1223,X_5_1219,X_6_1220,X_7_1224) ),
inference(resolution,[status(thm)],[c_831,c_12]) ).
tff(c_852,plain,
! [X_7_1233,X_6_1238,X_5_1236,X_4_1239,X_1_1235,X_2_1237,X_3_1234] :
( p_2(X_1_1235,X_2_1237,X_3_1234,X_4_1239,X_5_1236,X_6_1238,X_7_1233)
| ~ p_11(X_1_1235,X_2_1237,X_3_1234,X_4_1239,X_5_1236,X_6_1238,X_7_1233)
| ~ p_10(X_1_1235,X_2_1237,X_3_1234,X_4_1239,X_5_1236,X_6_1238,X_7_1233) ),
inference(resolution,[status(thm)],[c_840,c_846]) ).
tff(c_841,plain,
! [X_7_1212,X_3_1213,X_6_1217,X_4_1218,X_5_1215,X_2_1216,X_1_1214] :
( p_3(X_1_1214,X_2_1216,X_3_1213,X_4_1218,X_5_1215,X_6_1217,X_7_1212)
| ~ p_11(X_1_1214,X_2_1216,X_3_1213,X_4_1218,X_5_1215,X_6_1217,X_7_1212)
| ~ p_10(X_1_1214,X_2_1216,X_3_1213,X_4_1218,X_5_1215,X_6_1217,X_7_1212) ),
inference(resolution,[status(thm)],[c_830,c_836]) ).
tff(c_8,plain,
! [X_1_21,X_5_20,X_3_15,X_2_17,X_4_16,X_7_19,X_6_18] :
( ~ p_3(X_1_21,X_2_17,X_3_15,X_4_16,X_5_20,X_6_18,X_7_19)
| ~ p_2(X_1_21,X_2_17,X_3_15,X_4_16,X_5_20,X_6_18,X_7_19)
| p_1(X_1_21,X_2_17,X_3_15,X_4_16,X_5_20,X_6_18,X_7_19) ),
inference(cnfTransformation,[status(thm)],[f_52]) ).
tff(c_845,plain,
! [X_7_1212,X_3_1213,X_6_1217,X_4_1218,X_5_1215,X_2_1216,X_1_1214] :
( ~ p_2(X_1_1214,X_2_1216,X_3_1213,X_4_1218,X_5_1215,X_6_1217,X_7_1212)
| p_1(X_1_1214,X_2_1216,X_3_1213,X_4_1218,X_5_1215,X_6_1217,X_7_1212)
| ~ p_11(X_1_1214,X_2_1216,X_3_1213,X_4_1218,X_5_1215,X_6_1217,X_7_1212)
| ~ p_10(X_1_1214,X_2_1216,X_3_1213,X_4_1218,X_5_1215,X_6_1217,X_7_1212) ),
inference(resolution,[status(thm)],[c_841,c_8]) ).
tff(c_861,plain,
! [X_5_1246,X_3_1242,X_1_1240,X_7_1243,X_6_1241,X_2_1244,X_4_1245] :
( p_1(X_1_1240,X_2_1244,X_3_1242,X_4_1245,X_5_1246,X_6_1241,X_7_1243)
| ~ p_11(X_1_1240,X_2_1244,X_3_1242,X_4_1245,X_5_1246,X_6_1241,X_7_1243)
| ~ p_10(X_1_1240,X_2_1244,X_3_1242,X_4_1245,X_5_1246,X_6_1241,X_7_1243) ),
inference(resolution,[status(thm)],[c_852,c_845]) ).
tff(c_866,plain,
! [X_1_1251,X_5_1247,X_7_1252,X_3_1248,X_6_1250,X_4_1253,X_2_1249] :
( p_1(X_1_1251,X_2_1249,X_3_1248,X_4_1253,X_5_1247,X_6_1250,X_7_1252)
| ~ p_10(X_1_1251,X_2_1249,X_3_1248,X_4_1253,X_5_1247,X_6_1250,X_7_1252)
| ~ nq_7(X_7_1252)
| ~ nq_6(X_6_1250)
| ~ nq_5(X_5_1247)
| ~ nq_4(X_4_1253)
| ~ nq_3(X_3_1248)
| ~ nq_2(X_2_1249)
| ~ nq_1(X_1_1251) ),
inference(resolution,[status(thm)],[c_335,c_861]) ).
tff(c_870,plain,
! [X_5_384,X_7_383,X_1_385,X_6_382,X_3_379,X_2_381,X_4_380] :
( p_1(X_1_385,X_2_381,X_3_379,X_4_380,X_5_384,X_6_382,X_7_383)
| ~ nq_7(X_7_383)
| ~ nq_6(X_6_382)
| ~ nq_5(X_5_384)
| ~ nq_4(X_4_380)
| ~ nq_3(X_3_379)
| ~ nq_2(X_2_381)
| ~ nq_1(X_1_385) ),
inference(resolution,[status(thm)],[c_359,c_866]) ).
tff(c_4,plain,
! [X_5_6,X_3_1,X_6_4,X_4_2,X_7_5,X_1_7,X_2_3] :
( ~ p_2(X_1_7,X_2_3,X_3_1,X_4_2,X_5_6,X_6_4,X_7_5)
| ~ p_1(X_1_7,X_2_3,X_3_1,X_4_2,X_5_6,X_6_4,X_7_5)
| p_0(X_1_7,X_2_3,X_3_1,X_4_2,X_5_6,X_6_4,X_7_5) ),
inference(cnfTransformation,[status(thm)],[f_36]) ).
tff(c_872,plain,
! [X_4_1266,X_5_1267,X_6_1262,X_2_1265,X_3_1263,X_1_1261,X_7_1264] :
( ~ p_1(X_1_1261,X_2_1265,X_3_1263,X_4_1266,X_5_1267,X_6_1262,X_7_1264)
| p_0(X_1_1261,X_2_1265,X_3_1263,X_4_1266,X_5_1267,X_6_1262,X_7_1264)
| ~ p_11(X_1_1261,X_2_1265,X_3_1263,X_4_1266,X_5_1267,X_6_1262,X_7_1264)
| ~ p_10(X_1_1261,X_2_1265,X_3_1263,X_4_1266,X_5_1267,X_6_1262,X_7_1264) ),
inference(resolution,[status(thm)],[c_852,c_4]) ).
tff(c_1054,plain,
! [X_5_1415,X_4_1421,X_3_1416,X_2_1417,X_6_1418,X_1_1419,X_7_1420] :
( ~ p_1(X_1_1419,X_2_1417,X_3_1416,X_4_1421,X_5_1415,X_6_1418,X_7_1420)
| p_0(X_1_1419,X_2_1417,X_3_1416,X_4_1421,X_5_1415,X_6_1418,X_7_1420)
| ~ p_10(X_1_1419,X_2_1417,X_3_1416,X_4_1421,X_5_1415,X_6_1418,X_7_1420)
| ~ nq_7(X_7_1420)
| ~ nq_6(X_6_1418)
| ~ nq_5(X_5_1415)
| ~ nq_4(X_4_1421)
| ~ nq_3(X_3_1416)
| ~ nq_2(X_2_1417)
| ~ nq_1(X_1_1419) ),
inference(resolution,[status(thm)],[c_335,c_872]) ).
tff(c_1059,plain,
! [X_5_1422,X_3_1423,X_1_1426,X_2_1424,X_6_1425,X_7_1427,X_4_1428] :
( ~ p_1(X_1_1426,X_2_1424,X_3_1423,X_4_1428,X_5_1422,X_6_1425,X_7_1427)
| p_0(X_1_1426,X_2_1424,X_3_1423,X_4_1428,X_5_1422,X_6_1425,X_7_1427)
| ~ nq_7(X_7_1427)
| ~ nq_6(X_6_1425)
| ~ nq_5(X_5_1422)
| ~ nq_4(X_4_1428)
| ~ nq_3(X_3_1423)
| ~ nq_2(X_2_1424)
| ~ nq_1(X_1_1426) ),
inference(resolution,[status(thm)],[c_359,c_1054]) ).
tff(c_1064,plain,
! [X_1_1433,X_4_1435,X_2_1431,X_5_1429,X_7_1434,X_3_1430,X_6_1432] :
( p_0(X_1_1433,X_2_1431,X_3_1430,X_4_1435,X_5_1429,X_6_1432,X_7_1434)
| ~ nq_7(X_7_1434)
| ~ nq_6(X_6_1432)
| ~ nq_5(X_5_1429)
| ~ nq_4(X_4_1435)
| ~ nq_3(X_3_1430)
| ~ nq_2(X_2_1431)
| ~ nq_1(X_1_1433) ),
inference(resolution,[status(thm)],[c_870,c_1059]) ).
tff(c_2,plain,
( ~ q_0(a,a,a,a,a,a,a)
| ~ p_0(a,a,a,a,a,a,a) ),
inference(cnfTransformation,[status(thm)],[f_28]) ).
tff(c_143,plain,
~ p_0(a,a,a,a,a,a,a),
inference(splitLeft,[status(thm)],[c_2]) ).
tff(c_1067,plain,
( ~ nq_7(a)
| ~ nq_6(a)
| ~ nq_5(a)
| ~ nq_4(a)
| ~ nq_3(a)
| ~ nq_2(a)
| ~ nq_1(a) ),
inference(resolution,[status(thm)],[c_1064,c_143]) ).
tff(c_1071,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_116,c_120,c_124,c_128,c_132,c_136,c_140,c_1067]) ).
tff(c_1072,plain,
~ q_0(a,a,a,a,a,a,a),
inference(splitRight,[status(thm)],[c_2]) ).
tff(c_6721,plain,
( ~ p_2(a,a,a,a,a,a,a)
| ~ p_5(a,a,a,a,a,a,a)
| ~ p_8(a,a,a,a,a,a,a)
| ~ p_11(a,a,a,a,a,a,a)
| ~ nq_7(a)
| ~ nq_6(a)
| ~ nq_5(a)
| ~ nq_4(a)
| ~ nq_3(a)
| ~ nq_2(a)
| ~ nq_1(a) ),
inference(resolution,[status(thm)],[c_6718,c_1072]) ).
tff(c_6724,plain,
( ~ p_2(a,a,a,a,a,a,a)
| ~ p_5(a,a,a,a,a,a,a)
| ~ p_8(a,a,a,a,a,a,a)
| ~ p_11(a,a,a,a,a,a,a) ),
inference(demodulation,[status(thm),theory(equality)],[c_116,c_120,c_124,c_128,c_132,c_136,c_140,c_6721]) ).
tff(c_6725,plain,
~ p_11(a,a,a,a,a,a,a),
inference(splitLeft,[status(thm)],[c_6724]) ).
tff(c_6728,plain,
( ~ nq_7(a)
| ~ nq_6(a)
| ~ nq_5(a)
| ~ nq_4(a)
| ~ nq_3(a)
| ~ nq_2(a)
| ~ nq_1(a) ),
inference(resolution,[status(thm)],[c_1251,c_6725]) ).
tff(c_6732,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_116,c_120,c_124,c_128,c_132,c_136,c_140,c_6728]) ).
tff(c_6734,plain,
p_11(a,a,a,a,a,a,a),
inference(splitRight,[status(thm)],[c_6724]) ).
tff(c_1271,plain,
! [X_7_1896,X_5_1891,X_6_1894,X_4_1897,X_1_1895,X_3_1892,X_2_1893] :
( ~ p_11(X_1_1895,X_2_1893,X_3_1892,X_4_1897,X_5_1891,X_6_1894,X_7_1896)
| q_10(X_1_1895,X_2_1893,X_3_1892,X_4_1897,X_5_1891,X_6_1894,X_7_1896)
| ~ nq_7(X_7_1896)
| ~ nq_6(X_6_1894)
| ~ nq_5(X_5_1891)
| ~ nq_4(X_4_1897)
| ~ nq_3(X_3_1892)
| ~ nq_2(X_2_1893)
| ~ nq_1(X_1_1895) ),
inference(resolution,[status(thm)],[c_112,c_1088]) ).
tff(c_90,plain,
! [X_4_303,X_1_308,X_6_305,X_5_307,X_2_304,X_7_306,X_3_302] :
( ~ p_11(X_1_308,X_2_304,X_3_302,X_4_303,X_5_307,X_6_305,X_7_306)
| ~ q_10(X_1_308,X_2_304,X_3_302,X_4_303,X_5_307,X_6_305,X_7_306)
| q_9(X_1_308,X_2_304,X_3_302,X_4_303,X_5_307,X_6_305,X_7_306) ),
inference(cnfTransformation,[status(thm)],[f_380]) ).
tff(c_1140,plain,
! [X_1_1676,X_3_1674,X_4_1678,X_6_1677,X_7_1679,X_5_1680,X_2_1675] :
( ~ q_10(X_1_1676,X_2_1675,X_3_1674,X_4_1678,X_5_1680,X_6_1677,X_7_1679)
| ~ q_9(X_1_1676,X_2_1675,X_3_1674,X_4_1678,X_5_1680,X_6_1677,X_7_1679)
| p_8(X_1_1676,X_2_1675,X_3_1674,X_4_1678,X_5_1680,X_6_1677,X_7_1679) ),
inference(cnfTransformation,[status(thm)],[f_172]) ).
tff(c_1147,plain,
! [X_4_303,X_1_308,X_6_305,X_5_307,X_2_304,X_7_306,X_3_302] :
( p_8(X_1_308,X_2_304,X_3_302,X_4_303,X_5_307,X_6_305,X_7_306)
| ~ p_11(X_1_308,X_2_304,X_3_302,X_4_303,X_5_307,X_6_305,X_7_306)
| ~ q_10(X_1_308,X_2_304,X_3_302,X_4_303,X_5_307,X_6_305,X_7_306) ),
inference(resolution,[status(thm)],[c_90,c_1140]) ).
tff(c_1275,plain,
! [X_7_1896,X_5_1891,X_6_1894,X_4_1897,X_1_1895,X_3_1892,X_2_1893] :
( p_8(X_1_1895,X_2_1893,X_3_1892,X_4_1897,X_5_1891,X_6_1894,X_7_1896)
| ~ p_11(X_1_1895,X_2_1893,X_3_1892,X_4_1897,X_5_1891,X_6_1894,X_7_1896)
| ~ nq_7(X_7_1896)
| ~ nq_6(X_6_1894)
| ~ nq_5(X_5_1891)
| ~ nq_4(X_4_1897)
| ~ nq_3(X_3_1892)
| ~ nq_2(X_2_1893)
| ~ nq_1(X_1_1895) ),
inference(resolution,[status(thm)],[c_1271,c_1147]) ).
tff(c_1333,plain,
! [X_7_1945,X_5_1941,X_3_1942,X_6_1940,X_2_1944,X_1_1943,X_4_1946] :
( q_6(X_1_1943,X_2_1944,X_3_1942,X_4_1946,X_5_1941,X_6_1940,X_7_1945)
| ~ p_8(X_1_1943,X_2_1944,X_3_1942,X_4_1946,X_5_1941,X_6_1940,X_7_1945)
| ~ p_11(X_1_1943,X_2_1944,X_3_1942,X_4_1946,X_5_1941,X_6_1940,X_7_1945)
| ~ q_10(X_1_1943,X_2_1944,X_3_1942,X_4_1946,X_5_1941,X_6_1940,X_7_1945) ),
inference(resolution,[status(thm)],[c_1318,c_78]) ).
tff(c_26,plain,
! [X_4_79,X_7_82,X_6_81,X_1_84,X_3_78,X_2_80,X_5_83] :
( ~ q_7(X_1_84,X_2_80,X_3_78,X_4_79,X_5_83,X_6_81,X_7_82)
| ~ q_6(X_1_84,X_2_80,X_3_78,X_4_79,X_5_83,X_6_81,X_7_82)
| p_5(X_1_84,X_2_80,X_3_78,X_4_79,X_5_83,X_6_81,X_7_82) ),
inference(cnfTransformation,[status(thm)],[f_124]) ).
tff(c_1807,plain,
! [X_1_2314,X_7_2313,X_6_2312,X_3_2315,X_2_2317,X_5_2316,X_4_2311] :
( ~ q_6(X_1_2314,X_2_2317,X_3_2315,X_4_2311,X_5_2316,X_6_2312,X_7_2313)
| p_5(X_1_2314,X_2_2317,X_3_2315,X_4_2311,X_5_2316,X_6_2312,X_7_2313)
| ~ p_8(X_1_2314,X_2_2317,X_3_2315,X_4_2311,X_5_2316,X_6_2312,X_7_2313)
| ~ p_11(X_1_2314,X_2_2317,X_3_2315,X_4_2311,X_5_2316,X_6_2312,X_7_2313)
| ~ q_10(X_1_2314,X_2_2317,X_3_2315,X_4_2311,X_5_2316,X_6_2312,X_7_2313) ),
inference(resolution,[status(thm)],[c_1318,c_26]) ).
tff(c_1837,plain,
! [X_6_2326,X_2_2331,X_4_2325,X_5_2330,X_7_2327,X_3_2329,X_1_2328] :
( p_5(X_1_2328,X_2_2331,X_3_2329,X_4_2325,X_5_2330,X_6_2326,X_7_2327)
| ~ p_8(X_1_2328,X_2_2331,X_3_2329,X_4_2325,X_5_2330,X_6_2326,X_7_2327)
| ~ p_11(X_1_2328,X_2_2331,X_3_2329,X_4_2325,X_5_2330,X_6_2326,X_7_2327)
| ~ q_10(X_1_2328,X_2_2331,X_3_2329,X_4_2325,X_5_2330,X_6_2326,X_7_2327) ),
inference(resolution,[status(thm)],[c_1333,c_1807]) ).
tff(c_1998,plain,
! [X_2_2446,X_1_2448,X_3_2445,X_7_2449,X_4_2450,X_5_2444,X_6_2447] :
( p_5(X_1_2448,X_2_2446,X_3_2445,X_4_2450,X_5_2444,X_6_2447,X_7_2449)
| ~ p_8(X_1_2448,X_2_2446,X_3_2445,X_4_2450,X_5_2444,X_6_2447,X_7_2449)
| ~ p_11(X_1_2448,X_2_2446,X_3_2445,X_4_2450,X_5_2444,X_6_2447,X_7_2449)
| ~ nq_7(X_7_2449)
| ~ nq_6(X_6_2447)
| ~ nq_5(X_5_2444)
| ~ nq_4(X_4_2450)
| ~ nq_3(X_3_2445)
| ~ nq_2(X_2_2446)
| ~ nq_1(X_1_2448) ),
inference(resolution,[status(thm)],[c_1092,c_1837]) ).
tff(c_2009,plain,
! [X_7_1896,X_5_1891,X_6_1894,X_4_1897,X_1_1895,X_3_1892,X_2_1893] :
( p_5(X_1_1895,X_2_1893,X_3_1892,X_4_1897,X_5_1891,X_6_1894,X_7_1896)
| ~ p_11(X_1_1895,X_2_1893,X_3_1892,X_4_1897,X_5_1891,X_6_1894,X_7_1896)
| ~ nq_7(X_7_1896)
| ~ nq_6(X_6_1894)
| ~ nq_5(X_5_1891)
| ~ nq_4(X_4_1897)
| ~ nq_3(X_3_1892)
| ~ nq_2(X_2_1893)
| ~ nq_1(X_1_1895) ),
inference(resolution,[status(thm)],[c_1275,c_1998]) ).
tff(c_2494,plain,
! [X_1_2707,X_7_2703,X_4_2709,X_3_2706,X_2_2704,X_6_2705,X_5_2708] :
( q_3(X_1_2707,X_2_2704,X_3_2706,X_4_2709,X_5_2708,X_6_2705,X_7_2703)
| ~ p_5(X_1_2707,X_2_2704,X_3_2706,X_4_2709,X_5_2708,X_6_2705,X_7_2703)
| ~ p_8(X_1_2707,X_2_2704,X_3_2706,X_4_2709,X_5_2708,X_6_2705,X_7_2703)
| ~ p_11(X_1_2707,X_2_2704,X_3_2706,X_4_2709,X_5_2708,X_6_2705,X_7_2703)
| ~ q_10(X_1_2707,X_2_2704,X_3_2706,X_4_2709,X_5_2708,X_6_2705,X_7_2703) ),
inference(resolution,[status(thm)],[c_2479,c_66]) ).
tff(c_14,plain,
! [X_7_40,X_5_41,X_3_36,X_6_39,X_4_37,X_2_38,X_1_42] :
( ~ q_4(X_1_42,X_2_38,X_3_36,X_4_37,X_5_41,X_6_39,X_7_40)
| ~ q_3(X_1_42,X_2_38,X_3_36,X_4_37,X_5_41,X_6_39,X_7_40)
| p_2(X_1_42,X_2_38,X_3_36,X_4_37,X_5_41,X_6_39,X_7_40) ),
inference(cnfTransformation,[status(thm)],[f_76]) ).
tff(c_4220,plain,
! [X_3_3415,X_1_3412,X_6_3410,X_7_3414,X_4_3413,X_2_3416,X_5_3411] :
( ~ q_3(X_1_3412,X_2_3416,X_3_3415,X_4_3413,X_5_3411,X_6_3410,X_7_3414)
| p_2(X_1_3412,X_2_3416,X_3_3415,X_4_3413,X_5_3411,X_6_3410,X_7_3414)
| ~ p_5(X_1_3412,X_2_3416,X_3_3415,X_4_3413,X_5_3411,X_6_3410,X_7_3414)
| ~ p_8(X_1_3412,X_2_3416,X_3_3415,X_4_3413,X_5_3411,X_6_3410,X_7_3414)
| ~ p_11(X_1_3412,X_2_3416,X_3_3415,X_4_3413,X_5_3411,X_6_3410,X_7_3414)
| ~ q_10(X_1_3412,X_2_3416,X_3_3415,X_4_3413,X_5_3411,X_6_3410,X_7_3414) ),
inference(resolution,[status(thm)],[c_2479,c_14]) ).
tff(c_4273,plain,
! [X_7_3421,X_2_3423,X_5_3418,X_3_3422,X_4_3420,X_1_3419,X_6_3417] :
( p_2(X_1_3419,X_2_3423,X_3_3422,X_4_3420,X_5_3418,X_6_3417,X_7_3421)
| ~ p_5(X_1_3419,X_2_3423,X_3_3422,X_4_3420,X_5_3418,X_6_3417,X_7_3421)
| ~ p_8(X_1_3419,X_2_3423,X_3_3422,X_4_3420,X_5_3418,X_6_3417,X_7_3421)
| ~ p_11(X_1_3419,X_2_3423,X_3_3422,X_4_3420,X_5_3418,X_6_3417,X_7_3421)
| ~ q_10(X_1_3419,X_2_3423,X_3_3422,X_4_3420,X_5_3418,X_6_3417,X_7_3421) ),
inference(resolution,[status(thm)],[c_2494,c_4220]) ).
tff(c_4282,plain,
! [X_6_3427,X_5_3424,X_7_3429,X_4_3430,X_1_3428,X_3_3425,X_2_3426] :
( p_2(X_1_3428,X_2_3426,X_3_3425,X_4_3430,X_5_3424,X_6_3427,X_7_3429)
| ~ p_5(X_1_3428,X_2_3426,X_3_3425,X_4_3430,X_5_3424,X_6_3427,X_7_3429)
| ~ p_8(X_1_3428,X_2_3426,X_3_3425,X_4_3430,X_5_3424,X_6_3427,X_7_3429)
| ~ p_11(X_1_3428,X_2_3426,X_3_3425,X_4_3430,X_5_3424,X_6_3427,X_7_3429)
| ~ nq_7(X_7_3429)
| ~ nq_6(X_6_3427)
| ~ nq_5(X_5_3424)
| ~ nq_4(X_4_3430)
| ~ nq_3(X_3_3425)
| ~ nq_2(X_2_3426)
| ~ nq_1(X_1_3428) ),
inference(resolution,[status(thm)],[c_1092,c_4273]) ).
tff(c_4295,plain,
! [X_1_3435,X_4_3436,X_2_3437,X_7_3433,X_6_3432,X_5_3431,X_3_3434] :
( p_2(X_1_3435,X_2_3437,X_3_3434,X_4_3436,X_5_3431,X_6_3432,X_7_3433)
| ~ p_5(X_1_3435,X_2_3437,X_3_3434,X_4_3436,X_5_3431,X_6_3432,X_7_3433)
| ~ p_11(X_1_3435,X_2_3437,X_3_3434,X_4_3436,X_5_3431,X_6_3432,X_7_3433)
| ~ nq_7(X_7_3433)
| ~ nq_6(X_6_3432)
| ~ nq_5(X_5_3431)
| ~ nq_4(X_4_3436)
| ~ nq_3(X_3_3434)
| ~ nq_2(X_2_3437)
| ~ nq_1(X_1_3435) ),
inference(resolution,[status(thm)],[c_1275,c_4282]) ).
tff(c_4306,plain,
! [X_7_1896,X_5_1891,X_6_1894,X_4_1897,X_1_1895,X_3_1892,X_2_1893] :
( p_2(X_1_1895,X_2_1893,X_3_1892,X_4_1897,X_5_1891,X_6_1894,X_7_1896)
| ~ p_11(X_1_1895,X_2_1893,X_3_1892,X_4_1897,X_5_1891,X_6_1894,X_7_1896)
| ~ nq_7(X_7_1896)
| ~ nq_6(X_6_1894)
| ~ nq_5(X_5_1891)
| ~ nq_4(X_4_1897)
| ~ nq_3(X_3_1892)
| ~ nq_2(X_2_1893)
| ~ nq_1(X_1_1895) ),
inference(resolution,[status(thm)],[c_2009,c_4295]) ).
tff(c_6733,plain,
( ~ p_8(a,a,a,a,a,a,a)
| ~ p_5(a,a,a,a,a,a,a)
| ~ p_2(a,a,a,a,a,a,a) ),
inference(splitRight,[status(thm)],[c_6724]) ).
tff(c_6754,plain,
~ p_2(a,a,a,a,a,a,a),
inference(splitLeft,[status(thm)],[c_6733]) ).
tff(c_6766,plain,
( ~ p_11(a,a,a,a,a,a,a)
| ~ nq_7(a)
| ~ nq_6(a)
| ~ nq_5(a)
| ~ nq_4(a)
| ~ nq_3(a)
| ~ nq_2(a)
| ~ nq_1(a) ),
inference(resolution,[status(thm)],[c_4306,c_6754]) ).
tff(c_6776,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_116,c_120,c_124,c_128,c_132,c_136,c_140,c_6734,c_6766]) ).
tff(c_6777,plain,
( ~ p_5(a,a,a,a,a,a,a)
| ~ p_8(a,a,a,a,a,a,a) ),
inference(splitRight,[status(thm)],[c_6733]) ).
tff(c_6785,plain,
~ p_8(a,a,a,a,a,a,a),
inference(splitLeft,[status(thm)],[c_6777]) ).
tff(c_6791,plain,
( ~ p_11(a,a,a,a,a,a,a)
| ~ nq_7(a)
| ~ nq_6(a)
| ~ nq_5(a)
| ~ nq_4(a)
| ~ nq_3(a)
| ~ nq_2(a)
| ~ nq_1(a) ),
inference(resolution,[status(thm)],[c_1275,c_6785]) ).
tff(c_6801,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_116,c_120,c_124,c_128,c_132,c_136,c_140,c_6734,c_6791]) ).
tff(c_6802,plain,
~ p_5(a,a,a,a,a,a,a),
inference(splitRight,[status(thm)],[c_6777]) ).
tff(c_6809,plain,
( ~ p_11(a,a,a,a,a,a,a)
| ~ nq_7(a)
| ~ nq_6(a)
| ~ nq_5(a)
| ~ nq_4(a)
| ~ nq_3(a)
| ~ nq_2(a)
| ~ nq_1(a) ),
inference(resolution,[status(thm)],[c_2009,c_6802]) ).
tff(c_6819,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_116,c_120,c_124,c_128,c_132,c_136,c_140,c_6734,c_6809]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.15 % Problem : SYN102-1.007.007 : TPTP v8.1.2. Bugfixed v1.2.0.
% 0.16/0.16 % 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
% 0.16/0.37 % Computer : n013.cluster.edu
% 0.16/0.37 % Model : x86_64 x86_64
% 0.16/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37 % Memory : 8042.1875MB
% 0.16/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37 % CPULimit : 300
% 0.16/0.37 % WCLimit : 300
% 0.16/0.37 % DateTime : Thu Aug 3 17:19:03 EDT 2023
% 0.16/0.37 % CPUTime :
% 11.72/3.87 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 11.72/3.89
% 11.72/3.89 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 11.72/3.94
% 11.72/3.94 Inference rules
% 11.72/3.94 ----------------------
% 11.72/3.94 #Ref : 0
% 11.72/3.94 #Sup : 1524
% 11.72/3.94 #Fact : 0
% 11.72/3.94 #Define : 0
% 11.72/3.94 #Split : 5
% 11.72/3.94 #Chain : 0
% 11.72/3.94 #Close : 0
% 11.72/3.94
% 11.72/3.94 Ordering : KBO
% 11.72/3.94
% 11.72/3.94 Simplification rules
% 11.72/3.94 ----------------------
% 11.72/3.94 #Subsume : 847
% 11.72/3.94 #Demod : 71
% 11.72/3.94 #Tautology : 18
% 11.72/3.94 #SimpNegUnit : 0
% 11.72/3.94 #BackRed : 0
% 11.72/3.94
% 11.72/3.94 #Partial instantiations: 0
% 11.72/3.94 #Strategies tried : 1
% 11.72/3.94
% 11.72/3.94 Timing (in seconds)
% 11.72/3.94 ----------------------
% 11.72/3.94 Preprocessing : 0.65
% 11.72/3.94 Parsing : 0.37
% 11.72/3.94 CNF conversion : 0.04
% 11.72/3.94 Main loop : 2.16
% 11.72/3.94 Inferencing : 1.04
% 11.72/3.94 Reduction : 0.43
% 11.72/3.94 Demodulation : 0.28
% 11.72/3.94 BG Simplification : 0.06
% 11.72/3.94 Subsumption : 0.46
% 11.72/3.95 Abstraction : 0.05
% 11.72/3.95 MUC search : 0.00
% 11.72/3.95 Cooper : 0.00
% 11.72/3.95 Total : 2.89
% 11.72/3.95 Index Insertion : 0.00
% 11.72/3.95 Index Deletion : 0.00
% 11.72/3.95 Index Matching : 0.00
% 11.72/3.95 BG Taut test : 0.00
%------------------------------------------------------------------------------