TSTP Solution File: SET007-1 by Otter---3.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : SET007-1 : TPTP v8.1.0. Released v1.0.0.
% 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 13:12:46 EDT 2022
% Result : Unsatisfiable 37.43s 37.70s
% Output : Refutation 37.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 17
% Syntax : Number of clauses : 78 ( 19 unt; 49 nHn; 39 RR)
% Number of literals : 172 ( 0 equ; 25 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 7 con; 0-3 aty)
% Number of variables : 95 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(6,axiom,
( ~ union(A,B,C)
| ~ member(D,C)
| member(D,A)
| member(D,B) ),
file('SET007-1.p',unknown),
[] ).
cnf(7,axiom,
( ~ union(A,B,C)
| ~ member(D,A)
| member(D,C) ),
file('SET007-1.p',unknown),
[] ).
cnf(8,axiom,
( ~ union(A,B,C)
| ~ member(D,B)
| member(D,C) ),
file('SET007-1.p',unknown),
[] ).
cnf(9,axiom,
( ~ member(g(A,B,C),A)
| ~ member(g(A,B,C),C)
| union(A,B,C) ),
file('SET007-1.p',unknown),
[] ).
cnf(10,axiom,
( ~ member(g(A,B,C),B)
| ~ member(g(A,B,C),C)
| union(A,B,C) ),
file('SET007-1.p',unknown),
[] ).
cnf(11,axiom,
( ~ intersection(A,B,C)
| ~ member(D,C)
| member(D,A) ),
file('SET007-1.p',unknown),
[] ).
cnf(12,axiom,
( ~ intersection(A,B,C)
| ~ member(D,C)
| member(D,B) ),
file('SET007-1.p',unknown),
[] ).
cnf(13,axiom,
( ~ intersection(A,B,C)
| ~ member(D,B)
| ~ member(D,A)
| member(D,C) ),
file('SET007-1.p',unknown),
[] ).
cnf(14,axiom,
( ~ member(h(A,B,C),C)
| ~ member(h(A,B,C),B)
| ~ member(h(A,B,C),A)
| intersection(A,B,C) ),
file('SET007-1.p',unknown),
[] ).
cnf(15,axiom,
~ union(aIb,aIc,aI_bUc),
file('SET007-1.p',unknown),
[] ).
cnf(21,plain,
( ~ member(h(A,B,B),B)
| ~ member(h(A,B,B),A)
| intersection(A,B,B) ),
inference(factor,[status(thm)],[14]),
[iquote('factor,14.1.2')] ).
cnf(22,plain,
( ~ member(h(A,B,A),A)
| ~ member(h(A,B,A),B)
| intersection(A,B,A) ),
inference(factor,[status(thm)],[14]),
[iquote('factor,14.1.3')] ).
cnf(26,axiom,
( union(A,B,C)
| member(g(A,B,C),A)
| member(g(A,B,C),B)
| member(g(A,B,C),C) ),
file('SET007-1.p',unknown),
[] ).
cnf(27,axiom,
( member(h(A,B,C),C)
| intersection(A,B,C)
| member(h(A,B,C),A) ),
file('SET007-1.p',unknown),
[] ).
cnf(28,axiom,
( member(h(A,B,C),C)
| intersection(A,B,C)
| member(h(A,B,C),B) ),
file('SET007-1.p',unknown),
[] ).
cnf(29,axiom,
union(b,c,bUc),
file('SET007-1.p',unknown),
[] ).
cnf(30,axiom,
intersection(a,b,aIb),
file('SET007-1.p',unknown),
[] ).
cnf(31,axiom,
intersection(a,c,aIc),
file('SET007-1.p',unknown),
[] ).
cnf(32,axiom,
intersection(a,bUc,aI_bUc),
file('SET007-1.p',unknown),
[] ).
cnf(36,plain,
( member(h(A,B,A),A)
| intersection(A,B,A) ),
inference(factor,[status(thm)],[27]),
[iquote('factor,27.1.3')] ).
cnf(37,plain,
( member(h(A,B,B),B)
| intersection(A,B,B) ),
inference(factor,[status(thm)],[28]),
[iquote('factor,28.1.3')] ).
cnf(43,plain,
( union(aIb,A,B)
| member(g(aIb,A,B),A)
| member(g(aIb,A,B),B)
| member(g(aIb,A,B),b) ),
inference(hyper,[status(thm)],[26,12,30]),
[iquote('hyper,26,12,30')] ).
cnf(55,plain,
( union(A,aIc,B)
| member(g(A,aIc,B),A)
| member(g(A,aIc,B),B)
| member(g(A,aIc,B),a) ),
inference(hyper,[status(thm)],[26,11,31]),
[iquote('hyper,26,11,31')] ).
cnf(218,plain,
( intersection(A,B,aI_bUc)
| member(h(A,B,aI_bUc),A)
| member(h(A,B,aI_bUc),bUc) ),
inference(hyper,[status(thm)],[27,12,32]),
[iquote('hyper,27,12,32')] ).
cnf(219,plain,
( intersection(A,B,aIc)
| member(h(A,B,aIc),A)
| member(h(A,B,aIc),c) ),
inference(hyper,[status(thm)],[27,12,31]),
[iquote('hyper,27,12,31')] ).
cnf(220,plain,
( intersection(A,B,aIb)
| member(h(A,B,aIb),A)
| member(h(A,B,aIb),b) ),
inference(hyper,[status(thm)],[27,12,30]),
[iquote('hyper,27,12,30')] ).
cnf(224,plain,
( intersection(A,B,c)
| member(h(A,B,c),A)
| member(h(A,B,c),bUc) ),
inference(hyper,[status(thm)],[27,8,29]),
[iquote('hyper,27,8,29')] ).
cnf(225,plain,
( intersection(A,B,b)
| member(h(A,B,b),A)
| member(h(A,B,b),bUc) ),
inference(hyper,[status(thm)],[27,7,29]),
[iquote('hyper,27,7,29')] ).
cnf(238,plain,
( intersection(bUc,A,aI_bUc)
| member(h(bUc,A,aI_bUc),bUc) ),
inference(factor,[status(thm)],[218]),
[iquote('factor,218.2.3')] ).
cnf(239,plain,
( intersection(c,A,aIc)
| member(h(c,A,aIc),c) ),
inference(factor,[status(thm)],[219]),
[iquote('factor,219.2.3')] ).
cnf(240,plain,
( intersection(b,A,aIb)
| member(h(b,A,aIb),b) ),
inference(factor,[status(thm)],[220]),
[iquote('factor,220.2.3')] ).
cnf(244,plain,
( intersection(bUc,A,c)
| member(h(bUc,A,c),bUc) ),
inference(factor,[status(thm)],[224]),
[iquote('factor,224.2.3')] ).
cnf(245,plain,
( intersection(bUc,A,b)
| member(h(bUc,A,b),bUc) ),
inference(factor,[status(thm)],[225]),
[iquote('factor,225.2.3')] ).
cnf(261,plain,
( intersection(aI_bUc,A,aI_bUc)
| member(h(aI_bUc,A,aI_bUc),bUc) ),
inference(hyper,[status(thm)],[36,12,32]),
[iquote('hyper,36,12,32')] ).
cnf(262,plain,
( intersection(aIc,A,aIc)
| member(h(aIc,A,aIc),c) ),
inference(hyper,[status(thm)],[36,12,31]),
[iquote('hyper,36,12,31')] ).
cnf(263,plain,
( intersection(aIb,A,aIb)
| member(h(aIb,A,aIb),b) ),
inference(hyper,[status(thm)],[36,12,30]),
[iquote('hyper,36,12,30')] ).
cnf(265,plain,
( intersection(aIc,A,aIc)
| member(h(aIc,A,aIc),a) ),
inference(hyper,[status(thm)],[36,11,31]),
[iquote('hyper,36,11,31')] ).
cnf(266,plain,
( intersection(aIb,A,aIb)
| member(h(aIb,A,aIb),a) ),
inference(hyper,[status(thm)],[36,11,30]),
[iquote('hyper,36,11,30')] ).
cnf(285,plain,
( intersection(A,B,aI_bUc)
| member(h(A,B,aI_bUc),B)
| member(h(A,B,aI_bUc),a) ),
inference(hyper,[status(thm)],[28,11,32]),
[iquote('hyper,28,11,32')] ).
cnf(287,plain,
( intersection(A,B,aIb)
| member(h(A,B,aIb),B)
| member(h(A,B,aIb),a) ),
inference(hyper,[status(thm)],[28,11,30]),
[iquote('hyper,28,11,30')] ).
cnf(292,plain,
( member(h(bUc,a,A),A)
| intersection(bUc,a,A)
| member(h(bUc,a,A),aI_bUc) ),
inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[28,13,32,27])])]),
[iquote('hyper,28,13,32,27,factor_simp,factor_simp')] ).
cnf(294,plain,
( member(h(b,a,A),A)
| intersection(b,a,A)
| member(h(b,a,A),aIb) ),
inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[28,13,30,27])])]),
[iquote('hyper,28,13,30,27,factor_simp,factor_simp')] ).
cnf(311,plain,
( intersection(A,a,aI_bUc)
| member(h(A,a,aI_bUc),a) ),
inference(factor,[status(thm)],[285]),
[iquote('factor,285.2.3')] ).
cnf(313,plain,
( intersection(A,a,aIb)
| member(h(A,a,aIb),a) ),
inference(factor,[status(thm)],[287]),
[iquote('factor,287.2.3')] ).
cnf(319,plain,
( member(h(bUc,a,aI_bUc),aI_bUc)
| intersection(bUc,a,aI_bUc) ),
inference(factor,[status(thm)],[292]),
[iquote('factor,292.1.3')] ).
cnf(321,plain,
( member(h(b,a,aIb),aIb)
| intersection(b,a,aIb) ),
inference(factor,[status(thm)],[294]),
[iquote('factor,294.1.3')] ).
cnf(851,plain,
intersection(bUc,c,c),
inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[244,21,37])])]),
[iquote('hyper,244,21,37,factor_simp,factor_simp')] ).
cnf(853,plain,
intersection(bUc,b,b),
inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[245,21,37])])]),
[iquote('hyper,245,21,37,factor_simp,factor_simp')] ).
cnf(1256,plain,
intersection(aI_bUc,bUc,aI_bUc),
inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[261,22,36])])]),
[iquote('hyper,261,22,36,factor_simp,factor_simp')] ).
cnf(1260,plain,
( intersection(aIc,A,aIc)
| member(h(aIc,A,aIc),bUc) ),
inference(hyper,[status(thm)],[262,11,851]),
[iquote('hyper,262,11,851')] ).
cnf(1296,plain,
( intersection(aIb,A,aIb)
| member(h(aIb,A,aIb),bUc) ),
inference(hyper,[status(thm)],[263,11,853]),
[iquote('hyper,263,11,853')] ).
cnf(1776,plain,
intersection(bUc,a,aI_bUc),
inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[319,14,311,238])])])]),
[iquote('hyper,319,14,311,238,factor_simp,factor_simp,factor_simp')] ).
cnf(1794,plain,
intersection(b,a,aIb),
inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[321,14,313,240])])])]),
[iquote('hyper,321,14,313,240,factor_simp,factor_simp,factor_simp')] ).
cnf(2515,plain,
( intersection(aIc,A,aIc)
| member(h(aIc,A,aIc),aI_bUc) ),
inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[1260,13,1776,265])]),
[iquote('hyper,1260,13,1776,265,factor_simp')] ).
cnf(2518,plain,
( intersection(aIb,A,aIb)
| member(h(aIb,A,aIb),aI_bUc) ),
inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[1296,13,1776,266])]),
[iquote('hyper,1296,13,1776,266,factor_simp')] ).
cnf(2851,plain,
intersection(aIc,aI_bUc,aIc),
inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[2515,22,36])])]),
[iquote('hyper,2515,22,36,factor_simp,factor_simp')] ).
cnf(2892,plain,
( member(g(aIb,aIc,A),aI_bUc)
| union(aIb,aIc,A)
| member(g(aIb,aIc,A),A)
| member(g(aIb,aIc,A),b) ),
inference(hyper,[status(thm)],[2851,12,43]),
[iquote('hyper,2851,12,43')] ).
cnf(2898,plain,
( member(h(A,B,aIc),aI_bUc)
| intersection(A,B,aIc)
| member(h(A,B,aIc),B) ),
inference(hyper,[status(thm)],[2851,12,28]),
[iquote('hyper,2851,12,28')] ).
cnf(2951,plain,
( member(g(aIb,aIc,aI_bUc),aI_bUc)
| member(g(aIb,aIc,aI_bUc),b) ),
inference(unit_del,[status(thm)],[inference(factor,[status(thm)],[2892]),15]),
[iquote('factor,2892.1.3,unit_del,15')] ).
cnf(2955,plain,
( member(h(A,aI_bUc,aIc),aI_bUc)
| intersection(A,aI_bUc,aIc) ),
inference(factor,[status(thm)],[2898]),
[iquote('factor,2898.1.3')] ).
cnf(2975,plain,
intersection(aIb,aI_bUc,aIb),
inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[2518,22,36])])]),
[iquote('hyper,2518,22,36,factor_simp,factor_simp')] ).
cnf(3016,plain,
( member(h(A,B,aIb),aI_bUc)
| intersection(A,B,aIb)
| member(h(A,B,aIb),B) ),
inference(hyper,[status(thm)],[2975,12,28]),
[iquote('hyper,2975,12,28')] ).
cnf(3073,plain,
( member(h(A,aI_bUc,aIb),aI_bUc)
| intersection(A,aI_bUc,aIb) ),
inference(factor,[status(thm)],[3016]),
[iquote('factor,3016.1.3')] ).
cnf(3128,plain,
( intersection(A,aI_bUc,aIc)
| member(h(A,aI_bUc,aIc),a) ),
inference(hyper,[status(thm)],[2955,12,1776]),
[iquote('hyper,2955,12,1776')] ).
cnf(3150,plain,
( intersection(A,aI_bUc,aIb)
| member(h(A,aI_bUc,aIb),a) ),
inference(hyper,[status(thm)],[3073,12,1776]),
[iquote('hyper,3073,12,1776')] ).
cnf(3172,plain,
( intersection(c,aI_bUc,aIc)
| member(h(c,aI_bUc,aIc),aIc) ),
inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[3128,13,31,239])]),
[iquote('hyper,3128,13,31,239,factor_simp')] ).
cnf(3212,plain,
( intersection(b,aI_bUc,aIb)
| member(h(b,aI_bUc,aIb),aIb) ),
inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[3150,13,30,240])]),
[iquote('hyper,3150,13,30,240,factor_simp')] ).
cnf(3297,plain,
intersection(c,aI_bUc,aIc),
inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[3172,14,2955,239])])])]),
[iquote('hyper,3172,14,2955,239,factor_simp,factor_simp,factor_simp')] ).
cnf(3451,plain,
intersection(b,aI_bUc,aIb),
inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[3212,14,3073,240])])])]),
[iquote('hyper,3212,14,3073,240,factor_simp,factor_simp,factor_simp')] ).
cnf(3556,plain,
( member(g(aIb,aIc,aI_bUc),b)
| member(g(aIb,aIc,aI_bUc),bUc) ),
inference(hyper,[status(thm)],[2951,12,1256]),
[iquote('hyper,2951,12,1256')] ).
cnf(3569,plain,
( member(g(aIb,aIc,aI_bUc),aI_bUc)
| member(g(aIb,aIc,aI_bUc),aIb) ),
inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[2951,13,1794,55]),15])])]),
[iquote('hyper,2951,13,1794,55,unit_del,15,factor_simp,factor_simp')] ).
cnf(3895,plain,
( member(g(aIb,aIc,aI_bUc),b)
| member(g(aIb,aIc,aI_bUc),c) ),
inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[3556,6,29])]),
[iquote('hyper,3556,6,29,factor_simp')] ).
cnf(7079,plain,
member(g(aIb,aIc,aI_bUc),aI_bUc),
inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[3569,12,3451])]),
[iquote('hyper,3569,12,3451,factor_simp')] ).
cnf(10543,plain,
( member(g(aIb,aIc,aI_bUc),c)
| member(g(aIb,aIc,aI_bUc),aIb) ),
inference(hyper,[status(thm)],[3895,13,3451,7079]),
[iquote('hyper,3895,13,3451,7079')] ).
cnf(10550,plain,
member(g(aIb,aIc,aI_bUc),c),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[10543,9,7079]),15]),
[iquote('hyper,10543,9,7079,unit_del,15')] ).
cnf(10555,plain,
member(g(aIb,aIc,aI_bUc),aIc),
inference(hyper,[status(thm)],[10550,13,3297,7079]),
[iquote('hyper,10550,13,3297,7079')] ).
cnf(10561,plain,
union(aIb,aIc,aI_bUc),
inference(hyper,[status(thm)],[10555,10,7079]),
[iquote('hyper,10555,10,7079')] ).
cnf(10562,plain,
$false,
inference(binary,[status(thm)],[10561,15]),
[iquote('binary,10561.1,15.1')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.11 % Problem : SET007-1 : TPTP v8.1.0. Released v1.0.0.
% 0.09/0.12 % 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 10:15:31 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.69/1.89 ----- Otter 3.3f, August 2004 -----
% 1.69/1.89 The process was started by sandbox on n007.cluster.edu,
% 1.69/1.89 Wed Jul 27 10:15:31 2022
% 1.69/1.89 The command was "./otter". The process ID is 4838.
% 1.69/1.89
% 1.69/1.89 set(prolog_style_variables).
% 1.69/1.89 set(auto).
% 1.69/1.89 dependent: set(auto1).
% 1.69/1.89 dependent: set(process_input).
% 1.69/1.89 dependent: clear(print_kept).
% 1.69/1.89 dependent: clear(print_new_demod).
% 1.69/1.89 dependent: clear(print_back_demod).
% 1.69/1.89 dependent: clear(print_back_sub).
% 1.69/1.89 dependent: set(control_memory).
% 1.69/1.89 dependent: assign(max_mem, 12000).
% 1.69/1.89 dependent: assign(pick_given_ratio, 4).
% 1.69/1.89 dependent: assign(stats_level, 1).
% 1.69/1.89 dependent: assign(max_seconds, 10800).
% 1.69/1.89 clear(print_given).
% 1.69/1.89
% 1.69/1.89 list(usable).
% 1.69/1.89 0 [] -member(Element,Subset)| -subset(Subset,Superset)|member(Element,Superset).
% 1.69/1.89 0 [] subset(Subset,Superset)|member(member_of_1_not_of_2(Subset,Superset),Subset).
% 1.69/1.89 0 [] -member(member_of_1_not_of_2(Subset,Superset),Superset)|subset(Subset,Superset).
% 1.69/1.89 0 [] -e_qual_sets(Subset,Superset)|subset(Subset,Superset).
% 1.69/1.89 0 [] -e_qual_sets(Superset,Subset)|subset(Subset,Superset).
% 1.69/1.89 0 [] -subset(Set1,Set2)| -subset(Set2,Set1)|e_qual_sets(Set2,Set1).
% 1.69/1.89 0 [] -union(Set1,Set2,Union)| -member(Element,Union)|member(Element,Set1)|member(Element,Set2).
% 1.69/1.89 0 [] -union(Set1,Set2,Union)| -member(Element,Set1)|member(Element,Union).
% 1.69/1.89 0 [] -union(Set1,Set2,Union)| -member(Element,Set2)|member(Element,Union).
% 1.69/1.89 0 [] union(Set1,Set2,Union)|member(g(Set1,Set2,Union),Set1)|member(g(Set1,Set2,Union),Set2)|member(g(Set1,Set2,Union),Union).
% 1.69/1.89 0 [] -member(g(Set1,Set2,Union),Set1)| -member(g(Set1,Set2,Union),Union)|union(Set1,Set2,Union).
% 1.69/1.89 0 [] -member(g(Set1,Set2,Union),Set2)| -member(g(Set1,Set2,Union),Union)|union(Set1,Set2,Union).
% 1.69/1.89 0 [] -intersection(Set1,Set2,Intersection)| -member(Element,Intersection)|member(Element,Set1).
% 1.69/1.89 0 [] -intersection(Set1,Set2,Intersection)| -member(Element,Intersection)|member(Element,Set2).
% 1.69/1.89 0 [] -intersection(Set1,Set2,Intersection)| -member(Element,Set2)| -member(Element,Set1)|member(Element,Intersection).
% 1.69/1.89 0 [] member(h(Set1,Set2,Intersection),Intersection)|intersection(Set1,Set2,Intersection)|member(h(Set1,Set2,Intersection),Set1).
% 1.69/1.89 0 [] member(h(Set1,Set2,Intersection),Intersection)|intersection(Set1,Set2,Intersection)|member(h(Set1,Set2,Intersection),Set2).
% 1.69/1.89 0 [] -member(h(Set1,Set2,Intersection),Intersection)| -member(h(Set1,Set2,Intersection),Set2)| -member(h(Set1,Set2,Intersection),Set1)|intersection(Set1,Set2,Intersection).
% 1.69/1.89 0 [] union(b,c,bUc).
% 1.69/1.89 0 [] intersection(a,b,aIb).
% 1.69/1.89 0 [] intersection(a,c,aIc).
% 1.69/1.89 0 [] intersection(a,bUc,aI_bUc).
% 1.69/1.89 0 [] -union(aIb,aIc,aI_bUc).
% 1.69/1.89 end_of_list.
% 1.69/1.89
% 1.69/1.89 SCAN INPUT: prop=0, horn=0, equality=0, symmetry=0, max_lits=4.
% 1.69/1.89
% 1.69/1.89 This is a non-Horn set without equality. The strategy will
% 1.69/1.89 be ordered hyper_res, unit deletion, and factoring, with
% 1.69/1.89 satellites in sos and with nuclei in usable.
% 1.69/1.89
% 1.69/1.89 dependent: set(hyper_res).
% 1.69/1.89 dependent: set(factor).
% 1.69/1.89 dependent: set(unit_deletion).
% 1.69/1.89
% 1.69/1.89 ------------> process usable:
% 1.69/1.89 ** KEPT (pick-wt=9): 1 [] -member(A,B)| -subset(B,C)|member(A,C).
% 1.69/1.89 ** KEPT (pick-wt=8): 2 [] -member(member_of_1_not_of_2(A,B),B)|subset(A,B).
% 1.69/1.89 ** KEPT (pick-wt=6): 3 [] -e_qual_sets(A,B)|subset(A,B).
% 1.69/1.89 ** KEPT (pick-wt=6): 4 [] -e_qual_sets(A,B)|subset(B,A).
% 1.69/1.89 ** KEPT (pick-wt=9): 5 [] -subset(A,B)| -subset(B,A)|e_qual_sets(B,A).
% 1.69/1.89 ** KEPT (pick-wt=13): 6 [] -union(A,B,C)| -member(D,C)|member(D,A)|member(D,B).
% 1.69/1.89 ** KEPT (pick-wt=10): 7 [] -union(A,B,C)| -member(D,A)|member(D,C).
% 1.69/1.89 ** KEPT (pick-wt=10): 8 [] -union(A,B,C)| -member(D,B)|member(D,C).
% 1.69/1.89 ** KEPT (pick-wt=16): 9 [] -member(g(A,B,C),A)| -member(g(A,B,C),C)|union(A,B,C).
% 1.69/1.89 ** KEPT (pick-wt=16): 10 [] -member(g(A,B,C),B)| -member(g(A,B,C),C)|union(A,B,C).
% 1.69/1.89 ** KEPT (pick-wt=10): 11 [] -intersection(A,B,C)| -member(D,C)|member(D,A).
% 1.69/1.89 ** KEPT (pick-wt=10): 12 [] -intersection(A,B,C)| -member(D,C)|member(D,B).
% 1.69/1.89 ** KEPT (pick-wt=13): 13 [] -intersection(A,B,C)| -member(D,B)| -member(D,A)|member(D,C).
% 1.69/1.89 ** KEPT (pick-wt=22): 14 [] -member(h(A,B,C),C)| -member(h(A,B,C),B)| -member(h(A,B,C),A)|intersection(A,B,C).
% 1.69/1.89 ** KEPT (pick-wt=4): 15 [] -union(aIb,aIc,aI_bUc).
% 1.69/1.89
% 1.69/1.89 ------------> process sos:
% 1.69/1.89 ** KEPT (pick-wt=8): 25 [] subset(A,B)|member(member_of_1_not_of_2(A,B),A).
% 37.43/37.70 ** KEPT (pick-wt=22): 26 [] union(A,B,C)|member(g(A,B,C),A)|member(g(A,B,C),B)|member(g(A,B,C),C).
% 37.43/37.70 ** KEPT (pick-wt=16): 27 [] member(h(A,B,C),C)|intersection(A,B,C)|member(h(A,B,C),A).
% 37.43/37.70 ** KEPT (pick-wt=16): 28 [] member(h(A,B,C),C)|intersection(A,B,C)|member(h(A,B,C),B).
% 37.43/37.70 ** KEPT (pick-wt=4): 29 [] union(b,c,bUc).
% 37.43/37.70 ** KEPT (pick-wt=4): 30 [] intersection(a,b,aIb).
% 37.43/37.70 ** KEPT (pick-wt=4): 31 [] intersection(a,c,aIc).
% 37.43/37.70 ** KEPT (pick-wt=4): 32 [] intersection(a,bUc,aI_bUc).
% 37.43/37.70
% 37.43/37.70 ======= end of input processing =======
% 37.43/37.70
% 37.43/37.70 =========== start of search ===========
% 37.43/37.70
% 37.43/37.70
% 37.43/37.70 Resetting weight limit to 15.
% 37.43/37.70
% 37.43/37.70
% 37.43/37.70 Resetting weight limit to 15.
% 37.43/37.70
% 37.43/37.70 sos_size=4105
% 37.43/37.70
% 37.43/37.70
% 37.43/37.70 Resetting weight limit to 14.
% 37.43/37.70
% 37.43/37.70
% 37.43/37.70 Resetting weight limit to 14.
% 37.43/37.70
% 37.43/37.70 sos_size=3715
% 37.43/37.70
% 37.43/37.70
% 37.43/37.70 Resetting weight limit to 13.
% 37.43/37.70
% 37.43/37.70
% 37.43/37.70 Resetting weight limit to 13.
% 37.43/37.70
% 37.43/37.70 sos_size=3745
% 37.43/37.70
% 37.43/37.70 -- HEY sandbox, WE HAVE A PROOF!! --
% 37.43/37.70
% 37.43/37.70 ----> UNIT CONFLICT at 35.81 sec ----> 10562 [binary,10561.1,15.1] $F.
% 37.43/37.70
% 37.43/37.70 Length of proof is 60. Level of proof is 16.
% 37.43/37.70
% 37.43/37.70 ---------------- PROOF ----------------
% 37.43/37.70 % SZS status Unsatisfiable
% 37.43/37.70 % SZS output start Refutation
% See solution above
% 37.43/37.70 ------------ end of proof -------------
% 37.43/37.70
% 37.43/37.70
% 37.43/37.70 Search stopped by max_proofs option.
% 37.43/37.70
% 37.43/37.70
% 37.43/37.70 Search stopped by max_proofs option.
% 37.43/37.70
% 37.43/37.70 ============ end of search ============
% 37.43/37.70
% 37.43/37.70 -------------- statistics -------------
% 37.43/37.70 clauses given 1968
% 37.43/37.70 clauses generated 2260071
% 37.43/37.70 clauses kept 10561
% 37.43/37.70 clauses forward subsumed 435100
% 37.43/37.70 clauses back subsumed 6717
% 37.43/37.70 Kbytes malloced 5859
% 37.43/37.70
% 37.43/37.70 ----------- times (seconds) -----------
% 37.43/37.70 user CPU time 35.81 (0 hr, 0 min, 35 sec)
% 37.43/37.70 system CPU time 0.01 (0 hr, 0 min, 0 sec)
% 37.43/37.70 wall-clock time 37 (0 hr, 0 min, 37 sec)
% 37.43/37.70
% 37.43/37.70 That finishes the proof of the theorem.
% 37.43/37.70
% 37.43/37.70 Process 4838 finished Wed Jul 27 10:16:08 2022
% 37.43/37.70 Otter interrupted
% 37.43/37.70 PROOF FOUND
%------------------------------------------------------------------------------