TSTP Solution File: SYN102-1.007.007 by SPASS---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SYN102-1.007.007 : TPTP v8.1.0. Bugfixed v1.2.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n028.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 : 600s
% DateTime : Thu Jul 21 12:18:40 EDT 2022
% Result : Unsatisfiable 0.18s 0.43s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 35
% Syntax : Number of clauses : 87 ( 9 unt; 0 nHn; 87 RR)
% Number of literals : 530 ( 0 equ; 447 neg)
% Maximal clause size : 9 ( 6 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 35 ( 34 usr; 1 prp; 0-7 aty)
% Number of functors : 8 ( 8 usr; 8 con; 0-0 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(2,axiom,
( ~ q_2(u,v,w,x,y,z,x1)
| ~ q_1(u,v,w,x,y,z,x1)
| p_0(u,v,w,x,y,z,x1) ),
file('SYN102-1.007.007.p',unknown),
[] ).
cnf(4,axiom,
( ~ q_3(u,v,w,x,y,z,x1)
| ~ q_2(u,v,w,x,y,z,x1)
| p_1(u,v,w,x,y,z,x1) ),
file('SYN102-1.007.007.p',unknown),
[] ).
cnf(6,axiom,
( ~ q_4(u,v,w,x,y,z,x1)
| ~ q_3(u,v,w,x,y,z,x1)
| p_2(u,v,w,x,y,z,x1) ),
file('SYN102-1.007.007.p',unknown),
[] ).
cnf(8,axiom,
( ~ q_5(u,v,w,x,y,z,x1)
| ~ q_4(u,v,w,x,y,z,x1)
| p_3(u,v,w,x,y,z,x1) ),
file('SYN102-1.007.007.p',unknown),
[] ).
cnf(10,axiom,
( ~ q_6(u,v,w,x,y,z,x1)
| ~ q_5(u,v,w,x,y,z,x1)
| p_4(u,v,w,x,y,z,x1) ),
file('SYN102-1.007.007.p',unknown),
[] ).
cnf(12,axiom,
( ~ q_7(u,v,w,x,y,z,x1)
| ~ q_6(u,v,w,x,y,z,x1)
| p_5(u,v,w,x,y,z,x1) ),
file('SYN102-1.007.007.p',unknown),
[] ).
cnf(14,axiom,
( ~ q_8(u,v,w,x,y,z,x1)
| ~ q_7(u,v,w,x,y,z,x1)
| p_6(u,v,w,x,y,z,x1) ),
file('SYN102-1.007.007.p',unknown),
[] ).
cnf(16,axiom,
( ~ q_9(u,v,w,x,y,z,x1)
| ~ q_8(u,v,w,x,y,z,x1)
| p_7(u,v,w,x,y,z,x1) ),
file('SYN102-1.007.007.p',unknown),
[] ).
cnf(18,axiom,
( ~ q_10(u,v,w,x,y,z,x1)
| ~ q_9(u,v,w,x,y,z,x1)
| p_8(u,v,w,x,y,z,x1) ),
file('SYN102-1.007.007.p',unknown),
[] ).
cnf(20,axiom,
( ~ q_11(u,v,w,x,y,z,x1)
| ~ q_10(u,v,w,x,y,z,x1)
| p_9(u,v,w,x,y,z,x1) ),
file('SYN102-1.007.007.p',unknown),
[] ).
cnf(22,axiom,
( ~ q_12(u,v,w,x,y,z,x1)
| ~ q_11(u,v,w,x,y,z,x1)
| p_10(u,v,w,x,y,z,x1) ),
file('SYN102-1.007.007.p',unknown),
[] ).
cnf(24,axiom,
( ~ q_13(u,v,w,x,y,z,x1)
| ~ q_12(u,v,w,x,y,z,x1)
| p_11(u,v,w,x,y,z,x1) ),
file('SYN102-1.007.007.p',unknown),
[] ).
cnf(25,axiom,
( ~ q_2(u,v,w,x,y,z,x1)
| ~ p_1(u,v,w,x,y,z,x1)
| q_0(u,v,w,x,y,z,x1) ),
file('SYN102-1.007.007.p',unknown),
[] ).
cnf(27,axiom,
( ~ q_3(u,v,w,x,y,z,x1)
| ~ p_2(u,v,w,x,y,z,x1)
| q_1(u,v,w,x,y,z,x1) ),
file('SYN102-1.007.007.p',unknown),
[] ).
cnf(29,axiom,
( ~ q_4(u,v,w,x,y,z,x1)
| ~ p_3(u,v,w,x,y,z,x1)
| q_2(u,v,w,x,y,z,x1) ),
file('SYN102-1.007.007.p',unknown),
[] ).
cnf(31,axiom,
( ~ q_5(u,v,w,x,y,z,x1)
| ~ p_4(u,v,w,x,y,z,x1)
| q_3(u,v,w,x,y,z,x1) ),
file('SYN102-1.007.007.p',unknown),
[] ).
cnf(33,axiom,
( ~ q_6(u,v,w,x,y,z,x1)
| ~ p_5(u,v,w,x,y,z,x1)
| q_4(u,v,w,x,y,z,x1) ),
file('SYN102-1.007.007.p',unknown),
[] ).
cnf(35,axiom,
( ~ q_7(u,v,w,x,y,z,x1)
| ~ p_6(u,v,w,x,y,z,x1)
| q_5(u,v,w,x,y,z,x1) ),
file('SYN102-1.007.007.p',unknown),
[] ).
cnf(37,axiom,
( ~ q_8(u,v,w,x,y,z,x1)
| ~ p_7(u,v,w,x,y,z,x1)
| q_6(u,v,w,x,y,z,x1) ),
file('SYN102-1.007.007.p',unknown),
[] ).
cnf(39,axiom,
( ~ q_9(u,v,w,x,y,z,x1)
| ~ p_8(u,v,w,x,y,z,x1)
| q_7(u,v,w,x,y,z,x1) ),
file('SYN102-1.007.007.p',unknown),
[] ).
cnf(41,axiom,
( ~ q_10(u,v,w,x,y,z,x1)
| ~ p_9(u,v,w,x,y,z,x1)
| q_8(u,v,w,x,y,z,x1) ),
file('SYN102-1.007.007.p',unknown),
[] ).
cnf(43,axiom,
( ~ q_11(u,v,w,x,y,z,x1)
| ~ p_10(u,v,w,x,y,z,x1)
| q_9(u,v,w,x,y,z,x1) ),
file('SYN102-1.007.007.p',unknown),
[] ).
cnf(45,axiom,
( ~ q_12(u,v,w,x,y,z,x1)
| ~ p_11(u,v,w,x,y,z,x1)
| q_10(u,v,w,x,y,z,x1) ),
file('SYN102-1.007.007.p',unknown),
[] ).
cnf(47,axiom,
( ~ q_13(u,v,w,x,y,z,x1)
| ~ p_12(u,v,w,x,y,z,x1)
| q_11(u,v,w,x,y,z,x1) ),
file('SYN102-1.007.007.p',unknown),
[] ).
cnf(53,axiom,
( ~ nq_7(u)
| ~ nq_6(v)
| ~ nq_5(w)
| ~ nq_4(x)
| ~ nq_3(y)
| ~ nq_2(z)
| ~ nq_1(x1)
| p_12(x1,z,y,x,w,v,u) ),
file('SYN102-1.007.007.p',unknown),
[] ).
cnf(55,axiom,
( ~ nq_7(u)
| ~ nq_6(v)
| ~ nq_5(w)
| ~ nq_4(x)
| ~ nq_3(y)
| ~ nq_2(z)
| ~ nq_1(x1)
| q_12(x1,z,y,x,w,v,u) ),
file('SYN102-1.007.007.p',unknown),
[] ).
cnf(56,axiom,
( ~ nq_7(u)
| ~ nq_6(v)
| ~ nq_5(w)
| ~ nq_4(x)
| ~ nq_3(y)
| ~ nq_2(z)
| ~ nq_1(x1)
| q_13(x1,z,y,x,w,v,u) ),
file('SYN102-1.007.007.p',unknown),
[] ).
cnf(57,axiom,
nq_1(a),
file('SYN102-1.007.007.p',unknown),
[] ).
cnf(59,axiom,
nq_2(a),
file('SYN102-1.007.007.p',unknown),
[] ).
cnf(61,axiom,
nq_3(a),
file('SYN102-1.007.007.p',unknown),
[] ).
cnf(63,axiom,
nq_4(a),
file('SYN102-1.007.007.p',unknown),
[] ).
cnf(65,axiom,
nq_5(a),
file('SYN102-1.007.007.p',unknown),
[] ).
cnf(67,axiom,
nq_6(a),
file('SYN102-1.007.007.p',unknown),
[] ).
cnf(69,axiom,
nq_7(a),
file('SYN102-1.007.007.p',unknown),
[] ).
cnf(71,axiom,
( ~ q_0(a,a,a,a,a,a,a)
| ~ p_0(a,a,a,a,a,a,a) ),
file('SYN102-1.007.007.p',unknown),
[] ).
cnf(86,plain,
( ~ nq_7(u)
| ~ nq_6(v)
| ~ nq_5(w)
| ~ nq_4(x)
| ~ nq_3(y)
| ~ nq_2(z)
| ~ nq_1(x1)
| ~ q_12(x1,z,y,x,w,v,u)
| p_11(x1,z,y,x,w,v,u) ),
inference(res,[status(thm),theory(equality)],[56,24]),
[iquote('0:Res:56.7,24.0')] ).
cnf(87,plain,
( ~ nq_7(u)
| ~ nq_6(v)
| ~ nq_5(w)
| ~ nq_4(x)
| ~ nq_3(y)
| ~ nq_2(z)
| ~ nq_1(x1)
| ~ p_12(x1,z,y,x,w,v,u)
| q_11(x1,z,y,x,w,v,u) ),
inference(res,[status(thm),theory(equality)],[56,47]),
[iquote('0:Res:56.7,47.0')] ).
cnf(88,plain,
( ~ nq_7(u)
| ~ nq_6(v)
| ~ nq_5(w)
| ~ nq_4(x)
| ~ nq_3(y)
| ~ nq_2(z)
| ~ nq_1(x1)
| q_11(x1,z,y,x,w,v,u) ),
inference(mrr,[status(thm)],[87,53]),
[iquote('0:MRR:87.7,53.7')] ).
cnf(89,plain,
( ~ nq_7(u)
| ~ nq_6(v)
| ~ nq_5(w)
| ~ nq_4(x)
| ~ nq_3(y)
| ~ nq_2(z)
| ~ nq_1(x1)
| p_11(x1,z,y,x,w,v,u) ),
inference(mrr,[status(thm)],[86,55]),
[iquote('0:MRR:86.7,55.7')] ).
cnf(92,plain,
( ~ nq_7(u)
| ~ nq_6(v)
| ~ nq_5(w)
| ~ nq_4(x)
| ~ nq_3(y)
| ~ nq_2(z)
| ~ nq_1(x1)
| ~ q_11(x1,z,y,x,w,v,u)
| p_10(x1,z,y,x,w,v,u) ),
inference(res,[status(thm),theory(equality)],[55,22]),
[iquote('0:Res:55.7,22.0')] ).
cnf(93,plain,
( ~ nq_7(u)
| ~ nq_6(v)
| ~ nq_5(w)
| ~ nq_4(x)
| ~ nq_3(y)
| ~ nq_2(z)
| ~ nq_1(x1)
| ~ p_11(x1,z,y,x,w,v,u)
| q_10(x1,z,y,x,w,v,u) ),
inference(res,[status(thm),theory(equality)],[55,45]),
[iquote('0:Res:55.7,45.0')] ).
cnf(94,plain,
( ~ nq_7(u)
| ~ nq_6(v)
| ~ nq_5(w)
| ~ nq_4(x)
| ~ nq_3(y)
| ~ nq_2(z)
| ~ nq_1(x1)
| q_10(x1,z,y,x,w,v,u) ),
inference(mrr,[status(thm)],[93,89]),
[iquote('0:MRR:93.7,89.7')] ).
cnf(95,plain,
( ~ nq_7(u)
| ~ nq_6(v)
| ~ nq_5(w)
| ~ nq_4(x)
| ~ nq_3(y)
| ~ nq_2(z)
| ~ nq_1(x1)
| p_10(x1,z,y,x,w,v,u) ),
inference(mrr,[status(thm)],[92,88]),
[iquote('0:MRR:92.7,88.7')] ).
cnf(98,plain,
( ~ nq_7(u)
| ~ nq_6(v)
| ~ nq_5(w)
| ~ nq_4(x)
| ~ nq_3(y)
| ~ nq_2(z)
| ~ nq_1(x1)
| ~ q_10(x1,z,y,x,w,v,u)
| p_9(x1,z,y,x,w,v,u) ),
inference(res,[status(thm),theory(equality)],[88,20]),
[iquote('0:Res:88.7,20.0')] ).
cnf(99,plain,
( ~ nq_7(u)
| ~ nq_6(v)
| ~ nq_5(w)
| ~ nq_4(x)
| ~ nq_3(y)
| ~ nq_2(z)
| ~ nq_1(x1)
| ~ p_10(x1,z,y,x,w,v,u)
| q_9(x1,z,y,x,w,v,u) ),
inference(res,[status(thm),theory(equality)],[88,43]),
[iquote('0:Res:88.7,43.0')] ).
cnf(100,plain,
( ~ nq_7(u)
| ~ nq_6(v)
| ~ nq_5(w)
| ~ nq_4(x)
| ~ nq_3(y)
| ~ nq_2(z)
| ~ nq_1(x1)
| q_9(x1,z,y,x,w,v,u) ),
inference(mrr,[status(thm)],[99,95]),
[iquote('0:MRR:99.7,95.7')] ).
cnf(101,plain,
( ~ nq_7(u)
| ~ nq_6(v)
| ~ nq_5(w)
| ~ nq_4(x)
| ~ nq_3(y)
| ~ nq_2(z)
| ~ nq_1(x1)
| p_9(x1,z,y,x,w,v,u) ),
inference(mrr,[status(thm)],[98,94]),
[iquote('0:MRR:98.7,94.7')] ).
cnf(104,plain,
( ~ nq_7(u)
| ~ nq_6(v)
| ~ nq_5(w)
| ~ nq_4(x)
| ~ nq_3(y)
| ~ nq_2(z)
| ~ nq_1(x1)
| ~ q_9(x1,z,y,x,w,v,u)
| p_8(x1,z,y,x,w,v,u) ),
inference(res,[status(thm),theory(equality)],[94,18]),
[iquote('0:Res:94.7,18.0')] ).
cnf(105,plain,
( ~ nq_7(u)
| ~ nq_6(v)
| ~ nq_5(w)
| ~ nq_4(x)
| ~ nq_3(y)
| ~ nq_2(z)
| ~ nq_1(x1)
| ~ p_9(x1,z,y,x,w,v,u)
| q_8(x1,z,y,x,w,v,u) ),
inference(res,[status(thm),theory(equality)],[94,41]),
[iquote('0:Res:94.7,41.0')] ).
cnf(106,plain,
( ~ nq_7(u)
| ~ nq_6(v)
| ~ nq_5(w)
| ~ nq_4(x)
| ~ nq_3(y)
| ~ nq_2(z)
| ~ nq_1(x1)
| q_8(x1,z,y,x,w,v,u) ),
inference(mrr,[status(thm)],[105,101]),
[iquote('0:MRR:105.7,101.7')] ).
cnf(107,plain,
( ~ nq_7(u)
| ~ nq_6(v)
| ~ nq_5(w)
| ~ nq_4(x)
| ~ nq_3(y)
| ~ nq_2(z)
| ~ nq_1(x1)
| p_8(x1,z,y,x,w,v,u) ),
inference(mrr,[status(thm)],[104,100]),
[iquote('0:MRR:104.7,100.7')] ).
cnf(110,plain,
( ~ nq_7(u)
| ~ nq_6(v)
| ~ nq_5(w)
| ~ nq_4(x)
| ~ nq_3(y)
| ~ nq_2(z)
| ~ nq_1(x1)
| ~ q_8(x1,z,y,x,w,v,u)
| p_7(x1,z,y,x,w,v,u) ),
inference(res,[status(thm),theory(equality)],[100,16]),
[iquote('0:Res:100.7,16.0')] ).
cnf(111,plain,
( ~ nq_7(u)
| ~ nq_6(v)
| ~ nq_5(w)
| ~ nq_4(x)
| ~ nq_3(y)
| ~ nq_2(z)
| ~ nq_1(x1)
| ~ p_8(x1,z,y,x,w,v,u)
| q_7(x1,z,y,x,w,v,u) ),
inference(res,[status(thm),theory(equality)],[100,39]),
[iquote('0:Res:100.7,39.0')] ).
cnf(112,plain,
( ~ nq_7(u)
| ~ nq_6(v)
| ~ nq_5(w)
| ~ nq_4(x)
| ~ nq_3(y)
| ~ nq_2(z)
| ~ nq_1(x1)
| q_7(x1,z,y,x,w,v,u) ),
inference(mrr,[status(thm)],[111,107]),
[iquote('0:MRR:111.7,107.7')] ).
cnf(113,plain,
( ~ nq_7(u)
| ~ nq_6(v)
| ~ nq_5(w)
| ~ nq_4(x)
| ~ nq_3(y)
| ~ nq_2(z)
| ~ nq_1(x1)
| p_7(x1,z,y,x,w,v,u) ),
inference(mrr,[status(thm)],[110,106]),
[iquote('0:MRR:110.7,106.7')] ).
cnf(116,plain,
( ~ nq_7(u)
| ~ nq_6(v)
| ~ nq_5(w)
| ~ nq_4(x)
| ~ nq_3(y)
| ~ nq_2(z)
| ~ nq_1(x1)
| ~ q_7(x1,z,y,x,w,v,u)
| p_6(x1,z,y,x,w,v,u) ),
inference(res,[status(thm),theory(equality)],[106,14]),
[iquote('0:Res:106.7,14.0')] ).
cnf(117,plain,
( ~ nq_7(u)
| ~ nq_6(v)
| ~ nq_5(w)
| ~ nq_4(x)
| ~ nq_3(y)
| ~ nq_2(z)
| ~ nq_1(x1)
| ~ p_7(x1,z,y,x,w,v,u)
| q_6(x1,z,y,x,w,v,u) ),
inference(res,[status(thm),theory(equality)],[106,37]),
[iquote('0:Res:106.7,37.0')] ).
cnf(118,plain,
( ~ nq_7(u)
| ~ nq_6(v)
| ~ nq_5(w)
| ~ nq_4(x)
| ~ nq_3(y)
| ~ nq_2(z)
| ~ nq_1(x1)
| q_6(x1,z,y,x,w,v,u) ),
inference(mrr,[status(thm)],[117,113]),
[iquote('0:MRR:117.7,113.7')] ).
cnf(119,plain,
( ~ nq_7(u)
| ~ nq_6(v)
| ~ nq_5(w)
| ~ nq_4(x)
| ~ nq_3(y)
| ~ nq_2(z)
| ~ nq_1(x1)
| p_6(x1,z,y,x,w,v,u) ),
inference(mrr,[status(thm)],[116,112]),
[iquote('0:MRR:116.7,112.7')] ).
cnf(122,plain,
( ~ nq_7(u)
| ~ nq_6(v)
| ~ nq_5(w)
| ~ nq_4(x)
| ~ nq_3(y)
| ~ nq_2(z)
| ~ nq_1(x1)
| ~ q_6(x1,z,y,x,w,v,u)
| p_5(x1,z,y,x,w,v,u) ),
inference(res,[status(thm),theory(equality)],[112,12]),
[iquote('0:Res:112.7,12.0')] ).
cnf(123,plain,
( ~ nq_7(u)
| ~ nq_6(v)
| ~ nq_5(w)
| ~ nq_4(x)
| ~ nq_3(y)
| ~ nq_2(z)
| ~ nq_1(x1)
| ~ p_6(x1,z,y,x,w,v,u)
| q_5(x1,z,y,x,w,v,u) ),
inference(res,[status(thm),theory(equality)],[112,35]),
[iquote('0:Res:112.7,35.0')] ).
cnf(125,plain,
( ~ nq_7(u)
| ~ nq_6(v)
| ~ nq_5(w)
| ~ nq_4(x)
| ~ nq_3(y)
| ~ nq_2(z)
| ~ nq_1(x1)
| q_5(x1,z,y,x,w,v,u) ),
inference(mrr,[status(thm)],[123,119]),
[iquote('0:MRR:123.7,119.7')] ).
cnf(126,plain,
( ~ nq_7(u)
| ~ nq_6(v)
| ~ nq_5(w)
| ~ nq_4(x)
| ~ nq_3(y)
| ~ nq_2(z)
| ~ nq_1(x1)
| p_5(x1,z,y,x,w,v,u) ),
inference(mrr,[status(thm)],[122,118]),
[iquote('0:MRR:122.7,118.7')] ).
cnf(130,plain,
( ~ nq_7(u)
| ~ nq_6(v)
| ~ nq_5(w)
| ~ nq_4(x)
| ~ nq_3(y)
| ~ nq_2(z)
| ~ nq_1(x1)
| ~ q_5(x1,z,y,x,w,v,u)
| p_4(x1,z,y,x,w,v,u) ),
inference(res,[status(thm),theory(equality)],[118,10]),
[iquote('0:Res:118.7,10.0')] ).
cnf(131,plain,
( ~ nq_7(u)
| ~ nq_6(v)
| ~ nq_5(w)
| ~ nq_4(x)
| ~ nq_3(y)
| ~ nq_2(z)
| ~ nq_1(x1)
| ~ p_5(x1,z,y,x,w,v,u)
| q_4(x1,z,y,x,w,v,u) ),
inference(res,[status(thm),theory(equality)],[118,33]),
[iquote('0:Res:118.7,33.0')] ).
cnf(133,plain,
( ~ nq_7(u)
| ~ nq_6(v)
| ~ nq_5(w)
| ~ nq_4(x)
| ~ nq_3(y)
| ~ nq_2(z)
| ~ nq_1(x1)
| q_4(x1,z,y,x,w,v,u) ),
inference(mrr,[status(thm)],[131,126]),
[iquote('0:MRR:131.7,126.7')] ).
cnf(134,plain,
( ~ nq_7(u)
| ~ nq_6(v)
| ~ nq_5(w)
| ~ nq_4(x)
| ~ nq_3(y)
| ~ nq_2(z)
| ~ nq_1(x1)
| p_4(x1,z,y,x,w,v,u) ),
inference(mrr,[status(thm)],[130,125]),
[iquote('0:MRR:130.7,125.7')] ).
cnf(138,plain,
( ~ nq_7(u)
| ~ nq_6(v)
| ~ nq_5(w)
| ~ nq_4(x)
| ~ nq_3(y)
| ~ nq_2(z)
| ~ nq_1(x1)
| ~ q_4(x1,z,y,x,w,v,u)
| p_3(x1,z,y,x,w,v,u) ),
inference(res,[status(thm),theory(equality)],[125,8]),
[iquote('0:Res:125.7,8.0')] ).
cnf(139,plain,
( ~ nq_7(u)
| ~ nq_6(v)
| ~ nq_5(w)
| ~ nq_4(x)
| ~ nq_3(y)
| ~ nq_2(z)
| ~ nq_1(x1)
| ~ p_4(x1,z,y,x,w,v,u)
| q_3(x1,z,y,x,w,v,u) ),
inference(res,[status(thm),theory(equality)],[125,31]),
[iquote('0:Res:125.7,31.0')] ).
cnf(140,plain,
( ~ nq_7(u)
| ~ nq_6(v)
| ~ nq_5(w)
| ~ nq_4(x)
| ~ nq_3(y)
| ~ nq_2(z)
| ~ nq_1(x1)
| q_3(x1,z,y,x,w,v,u) ),
inference(mrr,[status(thm)],[139,134]),
[iquote('0:MRR:139.7,134.7')] ).
cnf(141,plain,
( ~ nq_7(u)
| ~ nq_6(v)
| ~ nq_5(w)
| ~ nq_4(x)
| ~ nq_3(y)
| ~ nq_2(z)
| ~ nq_1(x1)
| p_3(x1,z,y,x,w,v,u) ),
inference(mrr,[status(thm)],[138,133]),
[iquote('0:MRR:138.7,133.7')] ).
cnf(144,plain,
( ~ nq_7(u)
| ~ nq_6(v)
| ~ nq_5(w)
| ~ nq_4(x)
| ~ nq_3(y)
| ~ nq_2(z)
| ~ nq_1(x1)
| ~ q_3(x1,z,y,x,w,v,u)
| p_2(x1,z,y,x,w,v,u) ),
inference(res,[status(thm),theory(equality)],[133,6]),
[iquote('0:Res:133.7,6.0')] ).
cnf(145,plain,
( ~ nq_7(u)
| ~ nq_6(v)
| ~ nq_5(w)
| ~ nq_4(x)
| ~ nq_3(y)
| ~ nq_2(z)
| ~ nq_1(x1)
| ~ p_3(x1,z,y,x,w,v,u)
| q_2(x1,z,y,x,w,v,u) ),
inference(res,[status(thm),theory(equality)],[133,29]),
[iquote('0:Res:133.7,29.0')] ).
cnf(146,plain,
( ~ nq_7(u)
| ~ nq_6(v)
| ~ nq_5(w)
| ~ nq_4(x)
| ~ nq_3(y)
| ~ nq_2(z)
| ~ nq_1(x1)
| q_2(x1,z,y,x,w,v,u) ),
inference(mrr,[status(thm)],[145,141]),
[iquote('0:MRR:145.7,141.7')] ).
cnf(147,plain,
( ~ nq_7(u)
| ~ nq_6(v)
| ~ nq_5(w)
| ~ nq_4(x)
| ~ nq_3(y)
| ~ nq_2(z)
| ~ nq_1(x1)
| p_2(x1,z,y,x,w,v,u) ),
inference(mrr,[status(thm)],[144,140]),
[iquote('0:MRR:144.7,140.7')] ).
cnf(150,plain,
( ~ nq_7(u)
| ~ nq_6(v)
| ~ nq_5(w)
| ~ nq_4(x)
| ~ nq_3(y)
| ~ nq_2(z)
| ~ nq_1(x1)
| ~ q_2(x1,z,y,x,w,v,u)
| p_1(x1,z,y,x,w,v,u) ),
inference(res,[status(thm),theory(equality)],[140,4]),
[iquote('0:Res:140.7,4.0')] ).
cnf(151,plain,
( ~ nq_7(u)
| ~ nq_6(v)
| ~ nq_5(w)
| ~ nq_4(x)
| ~ nq_3(y)
| ~ nq_2(z)
| ~ nq_1(x1)
| ~ p_2(x1,z,y,x,w,v,u)
| q_1(x1,z,y,x,w,v,u) ),
inference(res,[status(thm),theory(equality)],[140,27]),
[iquote('0:Res:140.7,27.0')] ).
cnf(152,plain,
( ~ nq_7(u)
| ~ nq_6(v)
| ~ nq_5(w)
| ~ nq_4(x)
| ~ nq_3(y)
| ~ nq_2(z)
| ~ nq_1(x1)
| q_1(x1,z,y,x,w,v,u) ),
inference(mrr,[status(thm)],[151,147]),
[iquote('0:MRR:151.7,147.7')] ).
cnf(153,plain,
( ~ nq_7(u)
| ~ nq_6(v)
| ~ nq_5(w)
| ~ nq_4(x)
| ~ nq_3(y)
| ~ nq_2(z)
| ~ nq_1(x1)
| p_1(x1,z,y,x,w,v,u) ),
inference(mrr,[status(thm)],[150,146]),
[iquote('0:MRR:150.7,146.7')] ).
cnf(156,plain,
( ~ nq_7(u)
| ~ nq_6(v)
| ~ nq_5(w)
| ~ nq_4(x)
| ~ nq_3(y)
| ~ nq_2(z)
| ~ nq_1(x1)
| ~ q_1(x1,z,y,x,w,v,u)
| p_0(x1,z,y,x,w,v,u) ),
inference(res,[status(thm),theory(equality)],[146,2]),
[iquote('0:Res:146.7,2.0')] ).
cnf(157,plain,
( ~ nq_7(u)
| ~ nq_6(v)
| ~ nq_5(w)
| ~ nq_4(x)
| ~ nq_3(y)
| ~ nq_2(z)
| ~ nq_1(x1)
| ~ p_1(x1,z,y,x,w,v,u)
| q_0(x1,z,y,x,w,v,u) ),
inference(res,[status(thm),theory(equality)],[146,25]),
[iquote('0:Res:146.7,25.0')] ).
cnf(158,plain,
( ~ nq_7(u)
| ~ nq_6(v)
| ~ nq_5(w)
| ~ nq_4(x)
| ~ nq_3(y)
| ~ nq_2(z)
| ~ nq_1(x1)
| q_0(x1,z,y,x,w,v,u) ),
inference(mrr,[status(thm)],[157,153]),
[iquote('0:MRR:157.7,153.7')] ).
cnf(159,plain,
( ~ nq_7(u)
| ~ nq_6(v)
| ~ nq_5(w)
| ~ nq_4(x)
| ~ nq_3(y)
| ~ nq_2(z)
| ~ nq_1(x1)
| p_0(x1,z,y,x,w,v,u) ),
inference(mrr,[status(thm)],[156,152]),
[iquote('0:MRR:156.7,152.7')] ).
cnf(162,plain,
( ~ nq_7(a)
| ~ nq_6(a)
| ~ nq_5(a)
| ~ nq_4(a)
| ~ nq_3(a)
| ~ nq_2(a)
| ~ nq_1(a)
| ~ p_0(a,a,a,a,a,a,a) ),
inference(res,[status(thm),theory(equality)],[158,71]),
[iquote('0:Res:158.7,71.0')] ).
cnf(163,plain,
~ p_0(a,a,a,a,a,a,a),
inference(ssi,[status(thm)],[162,69,67,65,63,61,59,57]),
[iquote('0:SSi:162.6,162.5,162.4,162.3,162.2,162.1,162.0,69.0,67.0,65.0,63.0,61.0,59.0,57.0,69.0,67.0,65.0,63.0,61.0,59.0,57.0,69.0,67.0,65.0,63.0,61.0,59.0,57.0,69.0,67.0,65.0,63.0,61.0,59.0,57.0,69.0,67.0,65.0,63.0,61.0,59.0,57.0,69.0,67.0,65.0,63.0,61.0,59.0,57.0,69.0,67.0,65.0,63.0,61.0,59.0,57.0')] ).
cnf(164,plain,
( ~ nq_7(a)
| ~ nq_6(a)
| ~ nq_5(a)
| ~ nq_4(a)
| ~ nq_3(a)
| ~ nq_2(a)
| ~ nq_1(a) ),
inference(res,[status(thm),theory(equality)],[159,163]),
[iquote('0:Res:159.7,163.0')] ).
cnf(165,plain,
$false,
inference(ssi,[status(thm)],[164,69,67,65,63,61,59,57]),
[iquote('0:SSi:164.6,164.5,164.4,164.3,164.2,164.1,164.0,69.0,67.0,65.0,63.0,61.0,59.0,57.0,69.0,67.0,65.0,63.0,61.0,59.0,57.0,69.0,67.0,65.0,63.0,61.0,59.0,57.0,69.0,67.0,65.0,63.0,61.0,59.0,57.0,69.0,67.0,65.0,63.0,61.0,59.0,57.0,69.0,67.0,65.0,63.0,61.0,59.0,57.0,69.0,67.0,65.0,63.0,61.0,59.0,57.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SYN102-1.007.007 : TPTP v8.1.0. Bugfixed v1.2.0.
% 0.12/0.12 % Command : run_spass %d %s
% 0.12/0.33 % Computer : n028.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Tue Jul 12 01:26:44 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.43
% 0.18/0.43 SPASS V 3.9
% 0.18/0.43 SPASS beiseite: Proof found.
% 0.18/0.43 % SZS status Theorem
% 0.18/0.43 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.43 SPASS derived 54 clauses, backtracked 0 clauses, performed 0 splits and kept 99 clauses.
% 0.18/0.43 SPASS allocated 75818 KBytes.
% 0.18/0.43 SPASS spent 0:00:00.09 on the problem.
% 0.18/0.43 0:00:00.04 for the input.
% 0.18/0.43 0:00:00.00 for the FLOTTER CNF translation.
% 0.18/0.43 0:00:00.00 for inferences.
% 0.18/0.43 0:00:00.00 for the backtracking.
% 0.18/0.43 0:00:00.02 for the reduction.
% 0.18/0.43
% 0.18/0.43
% 0.18/0.43 Here is a proof with depth 8, length 87 :
% 0.18/0.43 % SZS output start Refutation
% See solution above
% 0.18/0.43 Formulae used in the proof : n_s3_type11_2 n_s3_type11_4 n_s3_type11_6 n_s3_type11_8 n_s3_type11_10 n_s3_type11_12 n_s3_type11_14 n_s3_type11_16 n_s3_type11_18 n_s3_type11_20 n_s3_type11_22 n_s3_type11_24 n_s3_type12_1 n_s3_type12_3 n_s3_type12_5 n_s3_type12_7 n_s3_type12_9 n_s3_type12_11 n_s3_type12_13 n_s3_type12_15 n_s3_type12_17 n_s3_type12_19 n_s3_type12_21 n_s3_type12_23 n_t3_1 n_t3_3 n_t3_4 n_1 n_3 n_5 n_7 n_9 n_11 n_13 n_s3_goal_1
% 0.18/0.43
%------------------------------------------------------------------------------