TSTP Solution File: SYN102-1.007.007 by Otter---3.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : SYN102-1.007.007 : TPTP v8.1.0. Bugfixed v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n007.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Jul 27 13:23:34 EDT 2022
% Result : Unsatisfiable 1.84s 2.04s
% Output : Refutation 1.84s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 35
% Syntax : Number of clauses : 63 ( 35 unt; 0 nHn; 63 RR)
% Number of literals : 138 ( 0 equ; 76 neg)
% Maximal clause size : 8 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 35 ( 34 usr; 1 prp; 0-7 aty)
% Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% Number of variables : 189 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( ~ p_0(a,a,a,a,a,a,a)
| ~ q_0(a,a,a,a,a,a,a) ),
file('SYN102-1.007.007.p',unknown),
[] ).
cnf(3,axiom,
( p_0(A,B,C,D,E,F,G)
| ~ q_1(A,B,C,D,E,F,G)
| ~ q_2(A,B,C,D,E,F,G) ),
file('SYN102-1.007.007.p',unknown),
[] ).
cnf(7,axiom,
( p_2(A,B,C,D,E,F,G)
| ~ q_3(A,B,C,D,E,F,G)
| ~ q_4(A,B,C,D,E,F,G) ),
file('SYN102-1.007.007.p',unknown),
[] ).
cnf(9,axiom,
( p_3(A,B,C,D,E,F,G)
| ~ q_4(A,B,C,D,E,F,G)
| ~ q_5(A,B,C,D,E,F,G) ),
file('SYN102-1.007.007.p',unknown),
[] ).
cnf(11,axiom,
( p_4(A,B,C,D,E,F,G)
| ~ q_5(A,B,C,D,E,F,G)
| ~ q_6(A,B,C,D,E,F,G) ),
file('SYN102-1.007.007.p',unknown),
[] ).
cnf(13,axiom,
( p_5(A,B,C,D,E,F,G)
| ~ q_6(A,B,C,D,E,F,G)
| ~ q_7(A,B,C,D,E,F,G) ),
file('SYN102-1.007.007.p',unknown),
[] ).
cnf(15,axiom,
( p_6(A,B,C,D,E,F,G)
| ~ q_7(A,B,C,D,E,F,G)
| ~ q_8(A,B,C,D,E,F,G) ),
file('SYN102-1.007.007.p',unknown),
[] ).
cnf(17,axiom,
( p_7(A,B,C,D,E,F,G)
| ~ q_8(A,B,C,D,E,F,G)
| ~ q_9(A,B,C,D,E,F,G) ),
file('SYN102-1.007.007.p',unknown),
[] ).
cnf(19,axiom,
( p_8(A,B,C,D,E,F,G)
| ~ q_9(A,B,C,D,E,F,G)
| ~ q_10(A,B,C,D,E,F,G) ),
file('SYN102-1.007.007.p',unknown),
[] ).
cnf(21,axiom,
( p_9(A,B,C,D,E,F,G)
| ~ q_10(A,B,C,D,E,F,G)
| ~ q_11(A,B,C,D,E,F,G) ),
file('SYN102-1.007.007.p',unknown),
[] ).
cnf(22,axiom,
( p_10(A,B,C,D,E,F,G)
| ~ p_11(A,B,C,D,E,F,G)
| ~ p_12(A,B,C,D,E,F,G) ),
file('SYN102-1.007.007.p',unknown),
[] ).
cnf(25,axiom,
( p_11(A,B,C,D,E,F,G)
| ~ q_12(A,B,C,D,E,F,G)
| ~ q_13(A,B,C,D,E,F,G) ),
file('SYN102-1.007.007.p',unknown),
[] ).
cnf(27,axiom,
( q_0(A,B,C,D,E,F,G)
| ~ q_1(A,B,C,D,E,F,G)
| ~ p_2(A,B,C,D,E,F,G) ),
file('SYN102-1.007.007.p',unknown),
[] ).
cnf(29,axiom,
( q_1(A,B,C,D,E,F,G)
| ~ q_2(A,B,C,D,E,F,G)
| ~ p_3(A,B,C,D,E,F,G) ),
file('SYN102-1.007.007.p',unknown),
[] ).
cnf(31,axiom,
( q_2(A,B,C,D,E,F,G)
| ~ q_3(A,B,C,D,E,F,G)
| ~ p_4(A,B,C,D,E,F,G) ),
file('SYN102-1.007.007.p',unknown),
[] ).
cnf(33,axiom,
( q_3(A,B,C,D,E,F,G)
| ~ q_4(A,B,C,D,E,F,G)
| ~ p_5(A,B,C,D,E,F,G) ),
file('SYN102-1.007.007.p',unknown),
[] ).
cnf(35,axiom,
( q_4(A,B,C,D,E,F,G)
| ~ q_5(A,B,C,D,E,F,G)
| ~ p_6(A,B,C,D,E,F,G) ),
file('SYN102-1.007.007.p',unknown),
[] ).
cnf(37,axiom,
( q_5(A,B,C,D,E,F,G)
| ~ q_6(A,B,C,D,E,F,G)
| ~ p_7(A,B,C,D,E,F,G) ),
file('SYN102-1.007.007.p',unknown),
[] ).
cnf(39,axiom,
( q_6(A,B,C,D,E,F,G)
| ~ q_7(A,B,C,D,E,F,G)
| ~ p_8(A,B,C,D,E,F,G) ),
file('SYN102-1.007.007.p',unknown),
[] ).
cnf(41,axiom,
( q_7(A,B,C,D,E,F,G)
| ~ q_8(A,B,C,D,E,F,G)
| ~ p_9(A,B,C,D,E,F,G) ),
file('SYN102-1.007.007.p',unknown),
[] ).
cnf(43,axiom,
( q_8(A,B,C,D,E,F,G)
| ~ q_9(A,B,C,D,E,F,G)
| ~ p_10(A,B,C,D,E,F,G) ),
file('SYN102-1.007.007.p',unknown),
[] ).
cnf(45,axiom,
( q_9(A,B,C,D,E,F,G)
| ~ q_10(A,B,C,D,E,F,G)
| ~ p_11(A,B,C,D,E,F,G) ),
file('SYN102-1.007.007.p',unknown),
[] ).
cnf(46,axiom,
( q_10(A,B,C,D,E,F,G)
| ~ p_11(A,B,C,D,E,F,G)
| ~ q_12(A,B,C,D,E,F,G) ),
file('SYN102-1.007.007.p',unknown),
[] ).
cnf(49,axiom,
( q_11(A,B,C,D,E,F,G)
| ~ q_12(A,B,C,D,E,F,G)
| ~ p_13(A,B,C,D,E,F,G) ),
file('SYN102-1.007.007.p',unknown),
[] ).
cnf(54,axiom,
( p_12(A,B,C,D,E,F,G)
| ~ nq_1(A)
| ~ nq_2(B)
| ~ nq_3(C)
| ~ nq_4(D)
| ~ nq_5(E)
| ~ nq_6(F)
| ~ nq_7(G) ),
file('SYN102-1.007.007.p',unknown),
[] ).
cnf(55,axiom,
( p_13(A,B,C,D,E,F,G)
| ~ nq_1(A)
| ~ nq_2(B)
| ~ nq_3(C)
| ~ nq_4(D)
| ~ nq_5(E)
| ~ nq_6(F)
| ~ nq_7(G) ),
file('SYN102-1.007.007.p',unknown),
[] ).
cnf(56,axiom,
( q_12(A,B,C,D,E,F,G)
| ~ nq_1(A)
| ~ nq_2(B)
| ~ nq_3(C)
| ~ nq_4(D)
| ~ nq_5(E)
| ~ nq_6(F)
| ~ nq_7(G) ),
file('SYN102-1.007.007.p',unknown),
[] ).
cnf(57,axiom,
( q_13(A,B,C,D,E,F,G)
| ~ nq_1(A)
| ~ nq_2(B)
| ~ nq_3(C)
| ~ nq_4(D)
| ~ nq_5(E)
| ~ nq_6(F)
| ~ nq_7(G) ),
file('SYN102-1.007.007.p',unknown),
[] ).
cnf(58,axiom,
nq_1(a),
file('SYN102-1.007.007.p',unknown),
[] ).
cnf(60,axiom,
nq_2(a),
file('SYN102-1.007.007.p',unknown),
[] ).
cnf(62,axiom,
nq_3(a),
file('SYN102-1.007.007.p',unknown),
[] ).
cnf(64,axiom,
nq_4(a),
file('SYN102-1.007.007.p',unknown),
[] ).
cnf(66,axiom,
nq_5(a),
file('SYN102-1.007.007.p',unknown),
[] ).
cnf(68,axiom,
nq_6(a),
file('SYN102-1.007.007.p',unknown),
[] ).
cnf(70,axiom,
nq_7(a),
file('SYN102-1.007.007.p',unknown),
[] ).
cnf(135,plain,
q_13(a,a,a,a,a,a,a),
inference(hyper,[status(thm)],[70,57,58,60,62,64,66,68]),
[iquote('hyper,70,57,58,60,62,64,66,68')] ).
cnf(199,plain,
q_12(a,a,a,a,a,a,a),
inference(hyper,[status(thm)],[70,56,58,60,62,64,66,68]),
[iquote('hyper,70,56,58,60,62,64,66,68')] ).
cnf(263,plain,
p_13(a,a,a,a,a,a,a),
inference(hyper,[status(thm)],[70,55,58,60,62,64,66,68]),
[iquote('hyper,70,55,58,60,62,64,66,68')] ).
cnf(327,plain,
p_12(a,a,a,a,a,a,a),
inference(hyper,[status(thm)],[70,54,58,60,62,64,66,68]),
[iquote('hyper,70,54,58,60,62,64,66,68')] ).
cnf(647,plain,
p_11(a,a,a,a,a,a,a),
inference(hyper,[status(thm)],[199,25,135]),
[iquote('hyper,199,25,135')] ).
cnf(711,plain,
q_11(a,a,a,a,a,a,a),
inference(hyper,[status(thm)],[263,49,199]),
[iquote('hyper,263,49,199')] ).
cnf(966,plain,
q_10(a,a,a,a,a,a,a),
inference(hyper,[status(thm)],[647,46,199]),
[iquote('hyper,647,46,199')] ).
cnf(967,plain,
p_10(a,a,a,a,a,a,a),
inference(hyper,[status(thm)],[647,22,327]),
[iquote('hyper,647,22,327')] ).
cnf(1222,plain,
q_9(a,a,a,a,a,a,a),
inference(hyper,[status(thm)],[966,45,647]),
[iquote('hyper,966,45,647')] ).
cnf(1223,plain,
p_9(a,a,a,a,a,a,a),
inference(hyper,[status(thm)],[966,21,711]),
[iquote('hyper,966,21,711')] ).
cnf(1478,plain,
q_8(a,a,a,a,a,a,a),
inference(hyper,[status(thm)],[1222,43,967]),
[iquote('hyper,1222,43,967')] ).
cnf(1479,plain,
p_8(a,a,a,a,a,a,a),
inference(hyper,[status(thm)],[1222,19,966]),
[iquote('hyper,1222,19,966')] ).
cnf(1734,plain,
q_7(a,a,a,a,a,a,a),
inference(hyper,[status(thm)],[1478,41,1223]),
[iquote('hyper,1478,41,1223')] ).
cnf(1735,plain,
p_7(a,a,a,a,a,a,a),
inference(hyper,[status(thm)],[1478,17,1222]),
[iquote('hyper,1478,17,1222')] ).
cnf(2117,plain,
q_6(a,a,a,a,a,a,a),
inference(hyper,[status(thm)],[1734,39,1479]),
[iquote('hyper,1734,39,1479')] ).
cnf(2118,plain,
p_6(a,a,a,a,a,a,a),
inference(hyper,[status(thm)],[1734,15,1478]),
[iquote('hyper,1734,15,1478')] ).
cnf(2502,plain,
q_5(a,a,a,a,a,a,a),
inference(hyper,[status(thm)],[2117,37,1735]),
[iquote('hyper,2117,37,1735')] ).
cnf(2503,plain,
p_5(a,a,a,a,a,a,a),
inference(hyper,[status(thm)],[2117,13,1734]),
[iquote('hyper,2117,13,1734')] ).
cnf(2758,plain,
q_4(a,a,a,a,a,a,a),
inference(hyper,[status(thm)],[2502,35,2118]),
[iquote('hyper,2502,35,2118')] ).
cnf(2759,plain,
p_4(a,a,a,a,a,a,a),
inference(hyper,[status(thm)],[2502,11,2117]),
[iquote('hyper,2502,11,2117')] ).
cnf(3014,plain,
q_3(a,a,a,a,a,a,a),
inference(hyper,[status(thm)],[2758,33,2503]),
[iquote('hyper,2758,33,2503')] ).
cnf(3015,plain,
p_3(a,a,a,a,a,a,a),
inference(hyper,[status(thm)],[2758,9,2502]),
[iquote('hyper,2758,9,2502')] ).
cnf(3270,plain,
q_2(a,a,a,a,a,a,a),
inference(hyper,[status(thm)],[3014,31,2759]),
[iquote('hyper,3014,31,2759')] ).
cnf(3271,plain,
p_2(a,a,a,a,a,a,a),
inference(hyper,[status(thm)],[3014,7,2758]),
[iquote('hyper,3014,7,2758')] ).
cnf(3526,plain,
q_1(a,a,a,a,a,a,a),
inference(hyper,[status(thm)],[3270,29,3015]),
[iquote('hyper,3270,29,3015')] ).
cnf(3782,plain,
q_0(a,a,a,a,a,a,a),
inference(hyper,[status(thm)],[3526,27,3271]),
[iquote('hyper,3526,27,3271')] ).
cnf(3783,plain,
p_0(a,a,a,a,a,a,a),
inference(hyper,[status(thm)],[3526,3,3270]),
[iquote('hyper,3526,3,3270')] ).
cnf(3912,plain,
$false,
inference(hyper,[status(thm)],[3783,1,3782]),
[iquote('hyper,3783,1,3782')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : SYN102-1.007.007 : TPTP v8.1.0. Bugfixed v1.2.0.
% 0.11/0.12 % Command : otter-tptp-script %s
% 0.12/0.33 % Computer : n007.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 : 300
% 0.12/0.33 % DateTime : Wed Jul 27 11:01:31 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.66/1.86 ----- Otter 3.3f, August 2004 -----
% 1.66/1.86 The process was started by sandbox2 on n007.cluster.edu,
% 1.66/1.86 Wed Jul 27 11:01:31 2022
% 1.66/1.86 The command was "./otter". The process ID is 22299.
% 1.66/1.86
% 1.66/1.86 set(prolog_style_variables).
% 1.66/1.86 set(auto).
% 1.66/1.86 dependent: set(auto1).
% 1.66/1.86 dependent: set(process_input).
% 1.66/1.86 dependent: clear(print_kept).
% 1.66/1.86 dependent: clear(print_new_demod).
% 1.66/1.86 dependent: clear(print_back_demod).
% 1.66/1.86 dependent: clear(print_back_sub).
% 1.66/1.86 dependent: set(control_memory).
% 1.66/1.86 dependent: assign(max_mem, 12000).
% 1.66/1.86 dependent: assign(pick_given_ratio, 4).
% 1.66/1.86 dependent: assign(stats_level, 1).
% 1.66/1.86 dependent: assign(max_seconds, 10800).
% 1.66/1.86 clear(print_given).
% 1.66/1.86
% 1.66/1.86 list(usable).
% 1.66/1.86 0 [] -p_0(a,a,a,a,a,a,a)| -q_0(a,a,a,a,a,a,a).
% 1.66/1.86 0 [] 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).
% 1.66/1.86 0 [] p_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)| -q_2(X_1,X_2,X_3,X_4,X_5,X_6,X_7).
% 1.66/1.86 0 [] 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).
% 1.66/1.86 0 [] p_1(X_1,X_2,X_3,X_4,X_5,X_6,X_7)| -q_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).
% 1.66/1.86 0 [] 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).
% 1.66/1.86 0 [] 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).
% 1.66/1.86 0 [] 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).
% 1.66/1.86 0 [] p_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)| -q_5(X_1,X_2,X_3,X_4,X_5,X_6,X_7).
% 1.66/1.86 0 [] 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).
% 1.66/1.86 0 [] p_4(X_1,X_2,X_3,X_4,X_5,X_6,X_7)| -q_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).
% 1.66/1.86 0 [] 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).
% 1.66/1.86 0 [] 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).
% 1.66/1.86 0 [] 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).
% 1.66/1.86 0 [] p_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)| -q_8(X_1,X_2,X_3,X_4,X_5,X_6,X_7).
% 1.66/1.86 0 [] 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).
% 1.66/1.86 0 [] p_7(X_1,X_2,X_3,X_4,X_5,X_6,X_7)| -q_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).
% 1.66/1.86 0 [] 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).
% 1.66/1.86 0 [] 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).
% 1.66/1.86 0 [] 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).
% 1.66/1.86 0 [] p_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)| -q_11(X_1,X_2,X_3,X_4,X_5,X_6,X_7).
% 1.66/1.86 0 [] 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).
% 1.66/1.86 0 [] p_10(X_1,X_2,X_3,X_4,X_5,X_6,X_7)| -q_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).
% 1.66/1.86 0 [] 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)| -p_13(X_1,X_2,X_3,X_4,X_5,X_6,X_7).
% 1.66/1.86 0 [] 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).
% 1.66/1.86 0 [] q_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)| -q_2(X_1,X_2,X_3,X_4,X_5,X_6,X_7).
% 1.66/1.86 0 [] 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).
% 1.66/1.86 0 [] 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).
% 1.66/1.86 0 [] q_1(X_1,X_2,X_3,X_4,X_5,X_6,X_7)| -q_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).
% 1.66/1.86 0 [] q_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)| -q_4(X_1,X_2,X_3,X_4,X_5,X_6,X_7).
% 1.66/1.86 0 [] q_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)| -p_4(X_1,X_2,X_3,X_4,X_5,X_6,X_7).
% 1.66/1.86 0 [] q_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)| -q_5(X_1,X_2,X_3,X_4,X_5,X_6,X_7).
% 1.66/1.86 0 [] 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).
% 1.66/1.87 0 [] 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).
% 1.66/1.87 0 [] q_4(X_1,X_2,X_3,X_4,X_5,X_6,X_7)| -q_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).
% 1.66/1.87 0 [] q_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)| -q_7(X_1,X_2,X_3,X_4,X_5,X_6,X_7).
% 1.66/1.87 0 [] q_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)| -p_7(X_1,X_2,X_3,X_4,X_5,X_6,X_7).
% 1.66/1.87 0 [] q_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)| -q_8(X_1,X_2,X_3,X_4,X_5,X_6,X_7).
% 1.66/1.87 0 [] 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).
% 1.66/1.87 0 [] 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).
% 1.66/1.87 0 [] q_7(X_1,X_2,X_3,X_4,X_5,X_6,X_7)| -q_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).
% 1.66/1.87 0 [] q_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)| -q_10(X_1,X_2,X_3,X_4,X_5,X_6,X_7).
% 1.66/1.87 0 [] q_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)| -p_10(X_1,X_2,X_3,X_4,X_5,X_6,X_7).
% 1.66/1.87 0 [] q_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)| -q_11(X_1,X_2,X_3,X_4,X_5,X_6,X_7).
% 1.66/1.87 0 [] 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).
% 1.66/1.87 0 [] 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).
% 1.66/1.87 0 [] q_10(X_1,X_2,X_3,X_4,X_5,X_6,X_7)| -q_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).
% 1.66/1.87 0 [] q_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)| -q_13(X_1,X_2,X_3,X_4,X_5,X_6,X_7).
% 1.66/1.87 0 [] q_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)| -p_13(X_1,X_2,X_3,X_4,X_5,X_6,X_7).
% 1.66/1.87 0 [] p_13(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).
% 1.66/1.87 0 [] p_14(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).
% 1.66/1.87 0 [] q_13(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).
% 1.66/1.87 0 [] q_14(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).
% 1.66/1.87 0 [] 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).
% 1.66/1.87 0 [] p_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).
% 1.66/1.87 0 [] 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).
% 1.66/1.87 0 [] 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).
% 1.66/1.87 0 [] nq_1(a).
% 1.66/1.87 0 [] nq_1(b).
% 1.66/1.87 0 [] nq_2(a).
% 1.66/1.87 0 [] nq_2(b).
% 1.66/1.87 0 [] nq_3(a).
% 1.66/1.87 0 [] nq_3(b).
% 1.66/1.87 0 [] nq_4(a).
% 1.66/1.87 0 [] nq_4(b).
% 1.66/1.87 0 [] nq_5(a).
% 1.66/1.87 0 [] nq_5(b).
% 1.66/1.87 0 [] nq_6(a).
% 1.66/1.87 0 [] nq_6(b).
% 1.66/1.87 0 [] nq_7(a).
% 1.66/1.87 0 [] nq_7(b).
% 1.66/1.87 end_of_list.
% 1.66/1.87
% 1.66/1.87 SCAN INPUT: prop=0, horn=1, equality=0, symmetry=0, max_lits=8.
% 1.66/1.87
% 1.66/1.87 This is a Horn set without equality. The strategy will
% 1.66/1.87 be hyperresolution, with satellites in sos and nuclei
% 1.66/1.87 in usable.
% 1.66/1.87
% 1.66/1.87 dependent: set(hyper_res).
% 1.66/1.87 dependent: clear(order_hyper).
% 1.66/1.87
% 1.66/1.87 ------------> process usable:
% 1.66/1.87 ** KEPT (pick-wt=16): 1 [] -p_0(a,a,a,a,a,a,a)| -q_0(a,a,a,a,a,a,a).
% 1.66/1.87 ** KEPT (pick-wt=24): 2 [] p_0(A,B,C,D,E,F,G)| -p_1(A,B,C,D,E,F,G)| -p_2(A,B,C,D,E,F,G).
% 1.66/1.87 ** KEPT (pick-wt=24): 3 [] p_0(A,B,C,D,E,F,G)| -q_1(A,B,C,D,E,F,G)| -q_2(A,B,C,D,E,F,G).
% 1.66/1.87 ** KEPT (pick-wt=24): 4 [] p_1(A,B,C,D,E,F,G)| -p_2(A,B,C,D,E,F,G)| -p_3(A,B,C,D,E,F,G).
% 1.66/1.87 ** KEPT (pick-wt=24): 5 [] p_1(A,B,C,D,E,F,G)| -q_2(A,B,C,D,E,F,G)| -q_3(A,B,C,D,E,F,G).
% 1.66/1.87 ** KEPT (pick-wt=24): 6 [] p_2(A,B,C,D,E,F,G)| -p_3(A,B,C,D,E,F,G)| -p_4(A,B,C,D,E,F,G).
% 1.66/1.87 ** KEPT (pick-wt=24): 7 [] p_2(A,B,C,D,E,F,G)| -q_3(A,B,C,D,E,F,G)| -q_4(A,B,C,D,E,F,G).
% 1.66/1.87 ** KEPT (pick-wt=24): 8 [] p_3(A,B,C,D,E,F,G)| -p_4(A,B,C,D,E,F,G)| -p_5(A,B,C,D,E,F,G).
% 1.66/1.87 ** KEPT (pick-wt=24): 9 [] p_3(A,B,C,D,E,F,G)| -q_4(A,B,C,D,E,F,G)| -q_5(A,B,C,D,E,F,G).
% 1.66/1.87 ** KEPT (pick-wt=24): 10 [] p_4(A,B,C,D,E,F,G)| -p_5(A,B,C,D,E,F,G)| -p_6(A,B,C,D,E,F,G).
% 1.66/1.87 ** KEPT (pick-wt=24): 11 [] p_4(A,B,C,D,E,F,G)| -q_5(A,B,C,D,E,F,G)| -q_6(A,B,C,D,E,F,G).
% 1.66/1.87 ** KEPT (pick-wt=24): 12 [] p_5(A,B,C,D,E,F,G)| -p_6(A,B,C,D,E,F,G)| -p_7(A,B,C,D,E,F,G).
% 1.66/1.87 ** KEPT (pick-wt=24): 13 [] p_5(A,B,C,D,E,F,G)| -q_6(A,B,C,D,E,F,G)| -q_7(A,B,C,D,E,F,G).
% 1.66/1.87 ** KEPT (pick-wt=24): 14 [] p_6(A,B,C,D,E,F,G)| -p_7(A,B,C,D,E,F,G)| -p_8(A,B,C,D,E,F,G).
% 1.66/1.87 ** KEPT (pick-wt=24): 15 [] p_6(A,B,C,D,E,F,G)| -q_7(A,B,C,D,E,F,G)| -q_8(A,B,C,D,E,F,G).
% 1.66/1.87 ** KEPT (pick-wt=24): 16 [] p_7(A,B,C,D,E,F,G)| -p_8(A,B,C,D,E,F,G)| -p_9(A,B,C,D,E,F,G).
% 1.66/1.87 ** KEPT (pick-wt=24): 17 [] p_7(A,B,C,D,E,F,G)| -q_8(A,B,C,D,E,F,G)| -q_9(A,B,C,D,E,F,G).
% 1.66/1.87 ** KEPT (pick-wt=24): 18 [] p_8(A,B,C,D,E,F,G)| -p_9(A,B,C,D,E,F,G)| -p_10(A,B,C,D,E,F,G).
% 1.66/1.87 ** KEPT (pick-wt=24): 19 [] p_8(A,B,C,D,E,F,G)| -q_9(A,B,C,D,E,F,G)| -q_10(A,B,C,D,E,F,G).
% 1.66/1.87 ** KEPT (pick-wt=24): 20 [] p_9(A,B,C,D,E,F,G)| -p_10(A,B,C,D,E,F,G)| -p_11(A,B,C,D,E,F,G).
% 1.66/1.87 ** KEPT (pick-wt=24): 21 [] p_9(A,B,C,D,E,F,G)| -q_10(A,B,C,D,E,F,G)| -q_11(A,B,C,D,E,F,G).
% 1.66/1.87 ** KEPT (pick-wt=24): 22 [] p_10(A,B,C,D,E,F,G)| -p_11(A,B,C,D,E,F,G)| -p_12(A,B,C,D,E,F,G).
% 1.66/1.87 ** KEPT (pick-wt=24): 23 [] p_10(A,B,C,D,E,F,G)| -q_11(A,B,C,D,E,F,G)| -q_12(A,B,C,D,E,F,G).
% 1.66/1.87 ** KEPT (pick-wt=24): 24 [] p_11(A,B,C,D,E,F,G)| -p_12(A,B,C,D,E,F,G)| -p_13(A,B,C,D,E,F,G).
% 1.66/1.87 ** KEPT (pick-wt=24): 25 [] p_11(A,B,C,D,E,F,G)| -q_12(A,B,C,D,E,F,G)| -q_13(A,B,C,D,E,F,G).
% 1.66/1.87 ** KEPT (pick-wt=24): 26 [] q_0(A,B,C,D,E,F,G)| -p_1(A,B,C,D,E,F,G)| -q_2(A,B,C,D,E,F,G).
% 1.66/1.87 ** KEPT (pick-wt=24): 27 [] q_0(A,B,C,D,E,F,G)| -q_1(A,B,C,D,E,F,G)| -p_2(A,B,C,D,E,F,G).
% 1.66/1.87 ** KEPT (pick-wt=24): 28 [] q_1(A,B,C,D,E,F,G)| -p_2(A,B,C,D,E,F,G)| -q_3(A,B,C,D,E,F,G).
% 1.66/1.87 ** KEPT (pick-wt=24): 29 [] q_1(A,B,C,D,E,F,G)| -q_2(A,B,C,D,E,F,G)| -p_3(A,B,C,D,E,F,G).
% 1.66/1.87 ** KEPT (pick-wt=24): 30 [] q_2(A,B,C,D,E,F,G)| -p_3(A,B,C,D,E,F,G)| -q_4(A,B,C,D,E,F,G).
% 1.66/1.87 ** KEPT (pick-wt=24): 31 [] q_2(A,B,C,D,E,F,G)| -q_3(A,B,C,D,E,F,G)| -p_4(A,B,C,D,E,F,G).
% 1.66/1.87 ** KEPT (pick-wt=24): 32 [] q_3(A,B,C,D,E,F,G)| -p_4(A,B,C,D,E,F,G)| -q_5(A,B,C,D,E,F,G).
% 1.66/1.87 ** KEPT (pick-wt=24): 33 [] q_3(A,B,C,D,E,F,G)| -q_4(A,B,C,D,E,F,G)| -p_5(A,B,C,D,E,F,G).
% 1.66/1.87 ** KEPT (pick-wt=24): 34 [] q_4(A,B,C,D,E,F,G)| -p_5(A,B,C,D,E,F,G)| -q_6(A,B,C,D,E,F,G).
% 1.66/1.87 ** KEPT (pick-wt=24): 35 [] q_4(A,B,C,D,E,F,G)| -q_5(A,B,C,D,E,F,G)| -p_6(A,B,C,D,E,F,G).
% 1.66/1.87 ** KEPT (pick-wt=24): 36 [] q_5(A,B,C,D,E,F,G)| -p_6(A,B,C,D,E,F,G)| -q_7(A,B,C,D,E,F,G).
% 1.66/1.87 ** KEPT (pick-wt=24): 37 [] q_5(A,B,C,D,E,F,G)| -q_6(A,B,C,D,E,F,G)| -p_7(A,B,C,D,E,F,G).
% 1.66/1.87 ** KEPT (pick-wt=24): 38 [] q_6(A,B,C,D,E,F,G)| -p_7(A,B,C,D,E,F,G)| -q_8(A,B,C,D,E,F,G).
% 1.66/1.87 ** KEPT (pick-wt=24): 39 [] q_6(A,B,C,D,E,F,G)| -q_7(A,B,C,D,E,F,G)| -p_8(A,B,C,D,E,F,G).
% 1.66/1.87 ** KEPT (pick-wt=24): 40 [] q_7(A,B,C,D,E,F,G)| -p_8(A,B,C,D,E,F,G)| -q_9(A,B,C,D,E,F,G).
% 1.66/1.87 ** KEPT (pick-wt=24): 41 [] q_7(A,B,C,D,E,F,G)| -q_8(A,B,C,D,E,F,G)| -p_9(A,B,C,D,E,F,G).
% 1.66/1.87 ** KEPT (pick-wt=24): 42 [] q_8(A,B,C,D,E,F,G)| -p_9(A,B,C,D,E,F,G)| -q_10(A,B,C,D,E,F,G).
% 1.66/1.87 ** KEPT (pick-wt=24): 43 [] q_8(A,B,C,D,E,F,G)| -q_9(A,B,C,D,E,F,G)| -p_10(A,B,C,D,E,F,G).
% 1.66/1.87 ** KEPT (pick-wt=24): 44 [] q_9(A,B,C,D,E,F,G)| -p_10(A,B,C,D,E,F,G)| -q_11(A,B,C,D,E,F,G).
% 1.66/1.87 ** KEPT (pick-wt=24): 45 [] q_9(A,B,C,D,E,F,G)| -q_10(A,B,C,D,E,F,G)| -p_11(A,B,C,D,E,F,G).
% 1.66/1.87 ** KEPT (pick-wt=24): 46 [] q_10(A,B,C,D,E,F,G)| -p_11(A,B,C,D,E,F,G)| -q_12(A,B,C,D,E,F,G).
% 1.66/1.87 ** KEPT (pick-wt=24): 47 [] q_10(A,B,C,D,E,F,G)| -q_11(A,B,C,D,E,F,G)| -p_12(A,B,C,D,E,F,G).
% 1.66/1.87 ** KEPT (pick-wt=24): 48 [] q_11(A,B,C,D,E,F,G)| -p_12(A,B,C,D,E,F,G)| -q_13(A,B,C,D,E,F,G).
% 1.66/1.87 ** KEPT (pick-wt=24): 49 [] q_11(A,B,C,D,E,F,G)| -q_12(A,B,C,D,E,F,G)| -p_13(A,B,C,D,E,F,G).
% 1.66/1.87 ** KEPT (pick-wt=16): 50 [] p_13(A,B,C,D,E,F,G)| -p_6(A,B,C,D,E,F,G).
% 1.66/1.87 ** KEPT (pick-wt=16): 51 [] p_14(A,B,C,D,E,F,G)| -p_7(A,B,C,D,E,F,G).
% 1.66/1.87 ** KEPT (pick-wt=16): 52 [] q_13(A,B,C,D,E,F,G)| -q_6(A,B,C,D,E,F,G).
% 1.66/1.87 ** KEPT (pick-wt=16): 53 [] q_14(A,B,C,D,E,F,G)| -q_7(A,B,C,D,E,F,G).
% 1.66/1.87 ** KEPT (pick-wt=22): 54 [] p_12(A,B,C,D,E,F,G)| -nq_1(A)| -nq_2(B)| -nq_3(C)| -nq_4(D)| -nq_5(E)| -nq_6(F)| -nq_7(G).
% 1.66/1.87 ** KEPT (pick-wt=22): 55 [] p_13(A,B,C,D,E,F,G)| -nq_1(A)| -nq_2(B)| -nq_3(C)| -nq_4(D)| -nq_5(E)| -nq_6(F)| -nq_7(G).
% 1.66/1.87 ** KEPT (pick-wt=22): 56 [] q_12(A,B,C,D,E,F,G)| -nq_1(A)| -nq_2(B)| -nq_3(C)| -nq_4(D)| -nq_5(E)| -nq_6(F)| -nq_7(G).
% 1.84/2.04 ** KEPT (pick-wt=22): 57 [] q_13(A,B,C,D,E,F,G)| -nq_1(A)| -nq_2(B)| -nq_3(C)| -nq_4(D)| -nq_5(E)| -nq_6(F)| -nq_7(G).
% 1.84/2.04
% 1.84/2.04 ------------> process sos:
% 1.84/2.04 ** KEPT (pick-wt=2): 58 [] nq_1(a).
% 1.84/2.04 ** KEPT (pick-wt=2): 59 [] nq_1(b).
% 1.84/2.04 ** KEPT (pick-wt=2): 60 [] nq_2(a).
% 1.84/2.04 ** KEPT (pick-wt=2): 61 [] nq_2(b).
% 1.84/2.04 ** KEPT (pick-wt=2): 62 [] nq_3(a).
% 1.84/2.04 ** KEPT (pick-wt=2): 63 [] nq_3(b).
% 1.84/2.04 ** KEPT (pick-wt=2): 64 [] nq_4(a).
% 1.84/2.04 ** KEPT (pick-wt=2): 65 [] nq_4(b).
% 1.84/2.04 ** KEPT (pick-wt=2): 66 [] nq_5(a).
% 1.84/2.04 ** KEPT (pick-wt=2): 67 [] nq_5(b).
% 1.84/2.04 ** KEPT (pick-wt=2): 68 [] nq_6(a).
% 1.84/2.04 ** KEPT (pick-wt=2): 69 [] nq_6(b).
% 1.84/2.04 ** KEPT (pick-wt=2): 70 [] nq_7(a).
% 1.84/2.04 ** KEPT (pick-wt=2): 71 [] nq_7(b).
% 1.84/2.04
% 1.84/2.04 ======= end of input processing =======
% 1.84/2.04
% 1.84/2.04 =========== start of search ===========
% 1.84/2.04
% 1.84/2.04
% 1.84/2.04 Resetting weight limit to 8.
% 1.84/2.04
% 1.84/2.04
% 1.84/2.04 Resetting weight limit to 8.
% 1.84/2.04
% 1.84/2.04 sos_size=256
% 1.84/2.04
% 1.84/2.04 -------- PROOF --------
% 1.84/2.04
% 1.84/2.04 -----> EMPTY CLAUSE at 0.18 sec ----> 3912 [hyper,3783,1,3782] $F.
% 1.84/2.04
% 1.84/2.04 Length of proof is 27. Level of proof is 13.
% 1.84/2.04
% 1.84/2.04 ---------------- PROOF ----------------
% 1.84/2.04 % SZS status Unsatisfiable
% 1.84/2.04 % SZS output start Refutation
% See solution above
% 1.84/2.04 ------------ end of proof -------------
% 1.84/2.04
% 1.84/2.04
% 1.84/2.04 Search stopped by max_proofs option.
% 1.84/2.04
% 1.84/2.04
% 1.84/2.04 Search stopped by max_proofs option.
% 1.84/2.04
% 1.84/2.04 ============ end of search ============
% 1.84/2.04
% 1.84/2.04 -------------- statistics -------------
% 1.84/2.04 clauses given 3726
% 1.84/2.04 clauses generated 7169
% 1.84/2.04 clauses kept 3911
% 1.84/2.04 clauses forward subsumed 3328
% 1.84/2.04 clauses back subsumed 0
% 1.84/2.04 Kbytes malloced 4882
% 1.84/2.04
% 1.84/2.04 ----------- times (seconds) -----------
% 1.84/2.04 user CPU time 0.18 (0 hr, 0 min, 0 sec)
% 1.84/2.04 system CPU time 0.01 (0 hr, 0 min, 0 sec)
% 1.84/2.04 wall-clock time 2 (0 hr, 0 min, 2 sec)
% 1.84/2.04
% 1.84/2.04 That finishes the proof of the theorem.
% 1.84/2.04
% 1.84/2.04 Process 22299 finished Wed Jul 27 11:01:33 2022
% 1.84/2.04 Otter interrupted
% 1.84/2.04 PROOF FOUND
%------------------------------------------------------------------------------