TSTP Solution File: MGT065+1 by Otter---3.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : MGT065+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n017.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 13:06:16 EDT 2022
% Result : Theorem 4.36s 4.56s
% Output : Refutation 4.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 26
% Syntax : Number of clauses : 52 ( 26 unt; 11 nHn; 46 RR)
% Number of literals : 104 ( 17 equ; 38 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 1 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 11 con; 0-2 aty)
% Number of variables : 37 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(2,axiom,
( smaller_or_e_qual(A,B)
| ~ smaller(A,B) ),
file('MGT065+1.p',unknown),
[] ).
cnf(7,axiom,
( ~ smaller(A,B)
| greater(B,A) ),
file('MGT065+1.p',unknown),
[] ).
cnf(8,axiom,
( smaller(A,B)
| ~ greater(B,A) ),
file('MGT065+1.p',unknown),
[] ).
cnf(9,axiom,
( ~ greater(A,B)
| ~ greater(B,A) ),
file('MGT065+1.p',unknown),
[] ).
cnf(10,axiom,
( ~ greater(A,B)
| ~ greater(B,C)
| greater(A,C) ),
file('MGT065+1.p',unknown),
[] ).
cnf(12,axiom,
( ~ has_endowment(A)
| ~ smaller_or_e_qual(age(A,B),eta)
| has_immunity(A,B) ),
file('MGT065+1.p',unknown),
[] ).
cnf(13,axiom,
( ~ has_endowment(A)
| ~ greater(age(A,B),eta)
| ~ has_immunity(A,B) ),
file('MGT065+1.p',unknown),
[] ).
cnf(19,axiom,
( ~ dissimilar(A,B,C)
| ~ is_aligned(A,B)
| ~ is_aligned(A,C) ),
file('MGT065+1.p',unknown),
[] ).
cnf(22,axiom,
( ~ organization(A)
| age(A,B) != zero
| is_aligned(A,B) ),
file('MGT065+1.p',unknown),
[] ).
cnf(23,axiom,
( ~ organization(A)
| age(A,B) != zero
| ~ greater(age(A,C),sigma)
| dissimilar(A,B,C) ),
file('MGT065+1.p',unknown),
[] ).
cnf(25,axiom,
( ~ organization(A)
| ~ has_immunity(A,B)
| hazard_of_mortality(A,B) = very_low ),
file('MGT065+1.p',unknown),
[] ).
cnf(27,axiom,
( ~ organization(A)
| has_immunity(A,B)
| is_aligned(A,B)
| ~ positional_advantage(A,B)
| hazard_of_mortality(A,B) = mod1 ),
file('MGT065+1.p',unknown),
[] ).
cnf(29,axiom,
( ~ organization(A)
| has_immunity(A,B)
| is_aligned(A,B)
| positional_advantage(A,B)
| hazard_of_mortality(A,B) = high ),
file('MGT065+1.p',unknown),
[] ).
cnf(30,axiom,
( ~ greater(hazard_of_mortality(dollar_c4,dollar_c1),hazard_of_mortality(dollar_c4,dollar_c2))
| hazard_of_mortality(dollar_c4,dollar_c2) != hazard_of_mortality(dollar_c4,dollar_c3) ),
file('MGT065+1.p',unknown),
[] ).
cnf(31,plain,
( ~ greater(hazard_of_mortality(dollar_c4,dollar_c1),hazard_of_mortality(dollar_c4,dollar_c2))
| hazard_of_mortality(dollar_c4,dollar_c3) != hazard_of_mortality(dollar_c4,dollar_c2) ),
inference(flip,[status(thm),theory(equality)],[inference(copy,[status(thm)],[30])]),
[iquote('copy,30,flip.2')] ).
cnf(32,plain,
~ greater(A,A),
inference(factor,[status(thm)],[9]),
[iquote('factor,9.1.2')] ).
cnf(35,axiom,
A = A,
file('MGT065+1.p',unknown),
[] ).
cnf(36,axiom,
( smaller(A,B)
| A = B
| greater(A,B) ),
file('MGT065+1.p',unknown),
[] ).
cnf(37,axiom,
greater(high,mod1),
file('MGT065+1.p',unknown),
[] ).
cnf(38,axiom,
greater(mod1,low),
file('MGT065+1.p',unknown),
[] ).
cnf(39,axiom,
greater(low,very_low),
file('MGT065+1.p',unknown),
[] ).
cnf(42,axiom,
organization(dollar_c4),
file('MGT065+1.p',unknown),
[] ).
cnf(44,axiom,
has_endowment(dollar_c4),
file('MGT065+1.p',unknown),
[] ).
cnf(45,axiom,
age(dollar_c4,dollar_c3) = zero,
file('MGT065+1.p',unknown),
[] ).
cnf(49,axiom,
greater(eta,zero),
file('MGT065+1.p',unknown),
[] ).
cnf(52,axiom,
smaller_or_e_qual(age(dollar_c4,dollar_c2),eta),
file('MGT065+1.p',unknown),
[] ).
cnf(53,axiom,
greater(age(dollar_c4,dollar_c1),sigma),
file('MGT065+1.p',unknown),
[] ).
cnf(55,axiom,
greater(age(dollar_c4,dollar_c1),eta),
file('MGT065+1.p',unknown),
[] ).
cnf(58,plain,
( has_immunity(dollar_c4,A)
| is_aligned(dollar_c4,A)
| positional_advantage(dollar_c4,A)
| hazard_of_mortality(dollar_c4,A) = high ),
inference(hyper,[status(thm)],[42,29]),
[iquote('hyper,42,29')] ).
cnf(69,plain,
greater(high,low),
inference(hyper,[status(thm)],[38,10,37]),
[iquote('hyper,38,10,37')] ).
cnf(76,plain,
( A = B
| greater(A,B)
| greater(B,A) ),
inference(hyper,[status(thm)],[36,7]),
[iquote('hyper,36,7')] ).
cnf(124,plain,
greater(mod1,very_low),
inference(hyper,[status(thm)],[39,10,38]),
[iquote('hyper,39,10,38')] ).
cnf(172,plain,
smaller(zero,eta),
inference(hyper,[status(thm)],[49,8]),
[iquote('hyper,49,8')] ).
cnf(180,plain,
is_aligned(dollar_c4,dollar_c3),
inference(hyper,[status(thm)],[45,22,42]),
[iquote('hyper,45,22,42')] ).
cnf(195,plain,
( ~ smaller_or_e_qual(zero,eta)
| has_immunity(dollar_c4,dollar_c3) ),
inference(unit_del,[status(thm)],[inference(para_from,[status(thm),theory(equality)],[45,12]),44]),
[iquote('para_from,45.1.1,12.2.1,unit_del,44')] ).
cnf(209,plain,
greater(high,very_low),
inference(hyper,[status(thm)],[69,10,39]),
[iquote('hyper,69,10,39')] ).
cnf(306,plain,
has_immunity(dollar_c4,dollar_c2),
inference(hyper,[status(thm)],[52,12,44]),
[iquote('hyper,52,12,44')] ).
cnf(346,plain,
dissimilar(dollar_c4,dollar_c3,dollar_c1),
inference(hyper,[status(thm)],[53,23,42,45]),
[iquote('hyper,53,23,42,45')] ).
cnf(368,plain,
smaller_or_e_qual(zero,eta),
inference(hyper,[status(thm)],[172,2]),
[iquote('hyper,172,2')] ).
cnf(486,plain,
( ~ greater(high,hazard_of_mortality(dollar_c4,dollar_c2))
| hazard_of_mortality(dollar_c4,dollar_c3) != hazard_of_mortality(dollar_c4,dollar_c2)
| has_immunity(dollar_c4,dollar_c1)
| is_aligned(dollar_c4,dollar_c1)
| positional_advantage(dollar_c4,dollar_c1) ),
inference(para_from,[status(thm),theory(equality)],[58,31]),
[iquote('para_from,58.4.1,31.1.1')] ).
cnf(519,plain,
hazard_of_mortality(dollar_c4,dollar_c2) = very_low,
inference(hyper,[status(thm)],[306,25,42]),
[iquote('hyper,306,25,42')] ).
cnf(520,plain,
( hazard_of_mortality(dollar_c4,dollar_c3) != very_low
| has_immunity(dollar_c4,dollar_c1)
| is_aligned(dollar_c4,dollar_c1)
| positional_advantage(dollar_c4,dollar_c1) ),
inference(unit_del,[status(thm)],[inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[486]),519,519]),209]),
[iquote('back_demod,486,demod,519,519,unit_del,209')] ).
cnf(530,plain,
( ~ greater(hazard_of_mortality(dollar_c4,dollar_c1),very_low)
| hazard_of_mortality(dollar_c4,dollar_c3) != very_low ),
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[31]),519,519]),
[iquote('back_demod,31,demod,519,519')] ).
cnf(829,plain,
has_immunity(dollar_c4,dollar_c3),
inference(hyper,[status(thm)],[195,368]),
[iquote('hyper,195,368')] ).
cnf(831,plain,
hazard_of_mortality(dollar_c4,dollar_c3) = very_low,
inference(hyper,[status(thm)],[829,25,42]),
[iquote('hyper,829,25,42')] ).
cnf(832,plain,
~ greater(hazard_of_mortality(dollar_c4,dollar_c1),very_low),
inference(unit_del,[status(thm)],[inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[530]),831]),35]),
[iquote('back_demod,530,demod,831,unit_del,35')] ).
cnf(839,plain,
( has_immunity(dollar_c4,dollar_c1)
| is_aligned(dollar_c4,dollar_c1)
| positional_advantage(dollar_c4,dollar_c1) ),
inference(unit_del,[status(thm)],[inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[520]),831]),35]),
[iquote('back_demod,520,demod,831,unit_del,35')] ).
cnf(864,plain,
( has_immunity(dollar_c4,dollar_c1)
| is_aligned(dollar_c4,dollar_c1)
| ~ positional_advantage(dollar_c4,dollar_c1) ),
inference(unit_del,[status(thm)],[inference(para_into,[status(thm),theory(equality)],[832,27]),124,42]),
[iquote('para_into,832.1.1,27.5.1,unit_del,124,42')] ).
cnf(1300,plain,
( has_endowment(A)
| greater(dollar_c4,A)
| greater(A,dollar_c4) ),
inference(para_from,[status(thm),theory(equality)],[76,44]),
[iquote('para_from,76.1.1,44.1.1')] ).
cnf(4018,plain,
( has_immunity(dollar_c4,dollar_c1)
| is_aligned(dollar_c4,dollar_c1) ),
inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[864,839])])]),
[iquote('hyper,864,839,factor_simp,factor_simp')] ).
cnf(4021,plain,
has_immunity(dollar_c4,dollar_c1),
inference(hyper,[status(thm)],[4018,19,346,180]),
[iquote('hyper,4018,19,346,180')] ).
cnf(4028,plain,
$false,
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[4021,13,1300,55]),32,32]),
[iquote('hyper,4021,13,1300,55,unit_del,32,32')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : MGT065+1 : TPTP v8.1.0. Released v2.4.0.
% 0.03/0.12 % Command : otter-tptp-script %s
% 0.12/0.33 % Computer : n017.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 03:23:48 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.75/1.96 ----- Otter 3.3f, August 2004 -----
% 1.75/1.96 The process was started by sandbox on n017.cluster.edu,
% 1.75/1.96 Wed Jul 27 03:23:48 2022
% 1.75/1.96 The command was "./otter". The process ID is 21620.
% 1.75/1.96
% 1.75/1.96 set(prolog_style_variables).
% 1.75/1.96 set(auto).
% 1.75/1.96 dependent: set(auto1).
% 1.75/1.96 dependent: set(process_input).
% 1.75/1.96 dependent: clear(print_kept).
% 1.75/1.96 dependent: clear(print_new_demod).
% 1.75/1.96 dependent: clear(print_back_demod).
% 1.75/1.96 dependent: clear(print_back_sub).
% 1.75/1.96 dependent: set(control_memory).
% 1.75/1.96 dependent: assign(max_mem, 12000).
% 1.75/1.96 dependent: assign(pick_given_ratio, 4).
% 1.75/1.96 dependent: assign(stats_level, 1).
% 1.75/1.96 dependent: assign(max_seconds, 10800).
% 1.75/1.96 clear(print_given).
% 1.75/1.96
% 1.75/1.96 formula_list(usable).
% 1.75/1.96 all A (A=A).
% 1.75/1.96 all X Y (smaller_or_e_qual(X,Y)<->smaller(X,Y)|X=Y).
% 1.75/1.96 all X Y (greater_or_e_qual(X,Y)<->greater(X,Y)|X=Y).
% 1.75/1.96 all X Y (smaller(X,Y)<->greater(Y,X)).
% 1.75/1.96 all X Y (-(greater(X,Y)&greater(Y,X))).
% 1.75/1.96 all X Y Z (greater(X,Y)&greater(Y,Z)->greater(X,Z)).
% 1.75/1.96 all X Y (smaller(X,Y)|X=Y|greater(X,Y)).
% 1.75/1.96 all X (has_endowment(X)<-> (all T (organization(X)& (smaller_or_e_qual(age(X,T),eta)->has_immunity(X,T))& (greater(age(X,T),eta)-> -has_immunity(X,T))))).
% 1.75/1.96 all X T0 T (dissimilar(X,T0,T)<->organization(X)& -(is_aligned(X,T0)<->is_aligned(X,T))).
% 1.75/1.96 all X T (organization(X)&age(X,T)=zero->is_aligned(X,T)).
% 1.75/1.96 all X T0 T (organization(X)&age(X,T0)=zero-> (greater(age(X,T),sigma)<->dissimilar(X,T0,T))).
% 1.75/1.96 all X T (organization(X)-> (has_immunity(X,T)->hazard_of_mortality(X,T)=very_low)& (-has_immunity(X,T)-> (is_aligned(X,T)&positional_advantage(X,T)->hazard_of_mortality(X,T)=low)& (-is_aligned(X,T)&positional_advantage(X,T)->hazard_of_mortality(X,T)=mod1)& (is_aligned(X,T)& -positional_advantage(X,T)->hazard_of_mortality(X,T)=mod2)& (-is_aligned(X,T)& -positional_advantage(X,T)->hazard_of_mortality(X,T)=high))).
% 1.75/1.96 greater(high,mod1).
% 1.75/1.96 greater(mod1,low).
% 1.75/1.96 greater(low,very_low).
% 1.75/1.96 greater(high,mod2).
% 1.75/1.96 greater(mod2,low).
% 1.75/1.96 -(all X T0 T1 T2 (organization(X)& (robust_position(X)|fragile_position(X))&has_endowment(X)&age(X,T0)=zero&greater(sigma,zero)&greater(tau,zero)&greater(eta,zero)&smaller_or_e_qual(age(X,T1),sigma)&smaller_or_e_qual(age(X,T1),tau)&smaller_or_e_qual(age(X,T1),eta)&greater(age(X,T2),sigma)&greater(age(X,T2),tau)&greater(age(X,T2),eta)->greater(hazard_of_mortality(X,T2),hazard_of_mortality(X,T1))&hazard_of_mortality(X,T1)=hazard_of_mortality(X,T0))).
% 1.75/1.96 end_of_list.
% 1.75/1.96
% 1.75/1.96 -------> usable clausifies to:
% 1.75/1.96
% 1.75/1.96 list(usable).
% 1.75/1.96 0 [] A=A.
% 1.75/1.96 0 [] -smaller_or_e_qual(X,Y)|smaller(X,Y)|X=Y.
% 1.75/1.96 0 [] smaller_or_e_qual(X,Y)| -smaller(X,Y).
% 1.75/1.96 0 [] smaller_or_e_qual(X,Y)|X!=Y.
% 1.75/1.96 0 [] -greater_or_e_qual(X,Y)|greater(X,Y)|X=Y.
% 1.75/1.96 0 [] greater_or_e_qual(X,Y)| -greater(X,Y).
% 1.75/1.96 0 [] greater_or_e_qual(X,Y)|X!=Y.
% 1.75/1.96 0 [] -smaller(X,Y)|greater(Y,X).
% 1.75/1.96 0 [] smaller(X,Y)| -greater(Y,X).
% 1.75/1.96 0 [] -greater(X,Y)| -greater(Y,X).
% 1.75/1.96 0 [] -greater(X,Y)| -greater(Y,Z)|greater(X,Z).
% 1.75/1.96 0 [] smaller(X,Y)|X=Y|greater(X,Y).
% 1.75/1.96 0 [] -has_endowment(X)|organization(X).
% 1.75/1.96 0 [] -has_endowment(X)| -smaller_or_e_qual(age(X,T),eta)|has_immunity(X,T).
% 1.75/1.96 0 [] -has_endowment(X)| -greater(age(X,T),eta)| -has_immunity(X,T).
% 1.75/1.96 0 [] has_endowment(X)| -organization(X)|smaller_or_e_qual(age(X,$f1(X)),eta)|greater(age(X,$f1(X)),eta).
% 1.75/1.96 0 [] has_endowment(X)| -organization(X)|smaller_or_e_qual(age(X,$f1(X)),eta)|has_immunity(X,$f1(X)).
% 1.75/1.96 0 [] has_endowment(X)| -organization(X)| -has_immunity(X,$f1(X))|greater(age(X,$f1(X)),eta).
% 1.75/1.96 0 [] -dissimilar(X,T0,T)|organization(X).
% 1.75/1.96 0 [] -dissimilar(X,T0,T)|is_aligned(X,T0)|is_aligned(X,T).
% 1.75/1.96 0 [] -dissimilar(X,T0,T)| -is_aligned(X,T0)| -is_aligned(X,T).
% 1.75/1.96 0 [] dissimilar(X,T0,T)| -organization(X)| -is_aligned(X,T0)|is_aligned(X,T).
% 1.75/1.96 0 [] dissimilar(X,T0,T)| -organization(X)|is_aligned(X,T0)| -is_aligned(X,T).
% 1.75/1.96 0 [] -organization(X)|age(X,T)!=zero|is_aligned(X,T).
% 1.75/1.96 0 [] -organization(X)|age(X,T0)!=zero| -greater(age(X,T),sigma)|dissimilar(X,T0,T).
% 1.75/1.96 0 [] -organization(X)|age(X,T0)!=zero|greater(age(X,T),sigma)| -dissimilar(X,T0,T).
% 1.75/1.96 0 [] -organization(X)| -has_immunity(X,T)|hazard_of_mortality(X,T)=very_low.
% 1.75/1.96 0 [] -organization(X)|has_immunity(X,T)| -is_aligned(X,T)| -positional_advantage(X,T)|hazard_of_mortality(X,T)=low.
% 1.75/1.96 0 [] -organization(X)|has_immunity(X,T)|is_aligned(X,T)| -positional_advantage(X,T)|hazard_of_mortality(X,T)=mod1.
% 1.75/1.96 0 [] -organization(X)|has_immunity(X,T)| -is_aligned(X,T)|positional_advantage(X,T)|hazard_of_mortality(X,T)=mod2.
% 1.75/1.96 0 [] -organization(X)|has_immunity(X,T)|is_aligned(X,T)|positional_advantage(X,T)|hazard_of_mortality(X,T)=high.
% 1.75/1.96 0 [] greater(high,mod1).
% 1.75/1.96 0 [] greater(mod1,low).
% 1.75/1.96 0 [] greater(low,very_low).
% 1.75/1.96 0 [] greater(high,mod2).
% 1.75/1.96 0 [] greater(mod2,low).
% 1.75/1.96 0 [] organization($c4).
% 1.75/1.96 0 [] robust_position($c4)|fragile_position($c4).
% 1.75/1.96 0 [] has_endowment($c4).
% 1.75/1.96 0 [] age($c4,$c3)=zero.
% 1.75/1.96 0 [] greater(sigma,zero).
% 1.75/1.96 0 [] greater(tau,zero).
% 1.75/1.96 0 [] greater(eta,zero).
% 1.75/1.96 0 [] smaller_or_e_qual(age($c4,$c2),sigma).
% 1.75/1.96 0 [] smaller_or_e_qual(age($c4,$c2),tau).
% 1.75/1.96 0 [] smaller_or_e_qual(age($c4,$c2),eta).
% 1.75/1.96 0 [] greater(age($c4,$c1),sigma).
% 1.75/1.96 0 [] greater(age($c4,$c1),tau).
% 1.75/1.96 0 [] greater(age($c4,$c1),eta).
% 1.75/1.96 0 [] -greater(hazard_of_mortality($c4,$c1),hazard_of_mortality($c4,$c2))|hazard_of_mortality($c4,$c2)!=hazard_of_mortality($c4,$c3).
% 1.75/1.96 end_of_list.
% 1.75/1.96
% 1.75/1.96 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=5.
% 1.75/1.96
% 1.75/1.96 This ia a non-Horn set with equality. The strategy will be
% 1.75/1.96 Knuth-Bendix, ordered hyper_res, factoring, and unit
% 1.75/1.96 deletion, with positive clauses in sos and nonpositive
% 1.75/1.96 clauses in usable.
% 1.75/1.96
% 1.75/1.96 dependent: set(knuth_bendix).
% 1.75/1.96 dependent: set(anl_eq).
% 1.75/1.96 dependent: set(para_from).
% 1.75/1.96 dependent: set(para_into).
% 1.75/1.96 dependent: clear(para_from_right).
% 1.75/1.96 dependent: clear(para_into_right).
% 1.75/1.96 dependent: set(para_from_vars).
% 1.75/1.96 dependent: set(eq_units_both_ways).
% 1.75/1.96 dependent: set(dynamic_demod_all).
% 1.75/1.96 dependent: set(dynamic_demod).
% 1.75/1.96 dependent: set(order_eq).
% 1.75/1.96 dependent: set(back_demod).
% 1.75/1.96 dependent: set(lrpo).
% 1.75/1.96 dependent: set(hyper_res).
% 1.75/1.96 dependent: set(unit_deletion).
% 1.75/1.96 dependent: set(factor).
% 1.75/1.96
% 1.75/1.96 ------------> process usable:
% 1.75/1.96 ** KEPT (pick-wt=9): 1 [] -smaller_or_e_qual(A,B)|smaller(A,B)|A=B.
% 1.75/1.96 ** KEPT (pick-wt=6): 2 [] smaller_or_e_qual(A,B)| -smaller(A,B).
% 1.75/1.96 ** KEPT (pick-wt=6): 3 [] smaller_or_e_qual(A,B)|A!=B.
% 1.75/1.96 ** KEPT (pick-wt=9): 4 [] -greater_or_e_qual(A,B)|greater(A,B)|A=B.
% 1.75/1.96 ** KEPT (pick-wt=6): 5 [] greater_or_e_qual(A,B)| -greater(A,B).
% 1.75/1.96 ** KEPT (pick-wt=6): 6 [] greater_or_e_qual(A,B)|A!=B.
% 1.75/1.96 ** KEPT (pick-wt=6): 7 [] -smaller(A,B)|greater(B,A).
% 1.75/1.96 ** KEPT (pick-wt=6): 8 [] smaller(A,B)| -greater(B,A).
% 1.75/1.96 ** KEPT (pick-wt=6): 9 [] -greater(A,B)| -greater(B,A).
% 1.75/1.96 ** KEPT (pick-wt=9): 10 [] -greater(A,B)| -greater(B,C)|greater(A,C).
% 1.75/1.96 ** KEPT (pick-wt=4): 11 [] -has_endowment(A)|organization(A).
% 1.75/1.96 ** KEPT (pick-wt=10): 12 [] -has_endowment(A)| -smaller_or_e_qual(age(A,B),eta)|has_immunity(A,B).
% 1.75/1.96 ** KEPT (pick-wt=10): 13 [] -has_endowment(A)| -greater(age(A,B),eta)| -has_immunity(A,B).
% 1.75/1.96 ** KEPT (pick-wt=16): 14 [] has_endowment(A)| -organization(A)|smaller_or_e_qual(age(A,$f1(A)),eta)|greater(age(A,$f1(A)),eta).
% 1.75/1.96 ** KEPT (pick-wt=14): 15 [] has_endowment(A)| -organization(A)|smaller_or_e_qual(age(A,$f1(A)),eta)|has_immunity(A,$f1(A)).
% 1.75/1.96 ** KEPT (pick-wt=14): 16 [] has_endowment(A)| -organization(A)| -has_immunity(A,$f1(A))|greater(age(A,$f1(A)),eta).
% 1.75/1.96 ** KEPT (pick-wt=6): 17 [] -dissimilar(A,B,C)|organization(A).
% 1.75/1.96 ** KEPT (pick-wt=10): 18 [] -dissimilar(A,B,C)|is_aligned(A,B)|is_aligned(A,C).
% 1.75/1.96 ** KEPT (pick-wt=10): 19 [] -dissimilar(A,B,C)| -is_aligned(A,B)| -is_aligned(A,C).
% 1.75/1.96 ** KEPT (pick-wt=12): 20 [] dissimilar(A,B,C)| -organization(A)| -is_aligned(A,B)|is_aligned(A,C).
% 1.75/1.96 ** KEPT (pick-wt=12): 21 [] dissimilar(A,B,C)| -organization(A)|is_aligned(A,B)| -is_aligned(A,C).
% 1.75/1.96 ** KEPT (pick-wt=10): 22 [] -organization(A)|age(A,B)!=zero|is_aligned(A,B).
% 1.75/1.96 ** KEPT (pick-wt=16): 23 [] -organization(A)|age(A,B)!=zero| -greater(age(A,C),sigma)|dissimilar(A,B,C).
% 1.75/1.96 ** KEPT (pick-wt=16): 24 [] -organization(A)|age(A,B)!=zero|greater(age(A,C),sigma)| -dissimilar(A,B,C).
% 1.75/1.96 ** KEPT (pick-wt=10): 25 [] -organization(A)| -has_immunity(A,B)|hazard_of_mortality(A,B)=very_low.
% 1.75/1.96 ** KEPT (pick-wt=16): 26 [] -organization(A)|has_immunity(A,B)| -is_aligned(A,B)| -positional_advantage(A,B)|hazard_of_mortality(A,B)=low.
% 1.75/1.96 ** KEPT (pick-wt=16): 27 [] -organization(A)|has_immunity(A,B)|is_aligned(A,B)| -positional_advantage(A,B)|hazard_of_mortality(A,B)=mod1.
% 4.36/4.56 ** KEPT (pick-wt=16): 28 [] -organization(A)|has_immunity(A,B)| -is_aligned(A,B)|positional_advantage(A,B)|hazard_of_mortality(A,B)=mod2.
% 4.36/4.56 ** KEPT (pick-wt=16): 29 [] -organization(A)|has_immunity(A,B)|is_aligned(A,B)|positional_advantage(A,B)|hazard_of_mortality(A,B)=high.
% 4.36/4.56 ** KEPT (pick-wt=14): 31 [copy,30,flip.2] -greater(hazard_of_mortality($c4,$c1),hazard_of_mortality($c4,$c2))|hazard_of_mortality($c4,$c3)!=hazard_of_mortality($c4,$c2).
% 4.36/4.56
% 4.36/4.56 ------------> process sos:
% 4.36/4.56 ** KEPT (pick-wt=3): 35 [] A=A.
% 4.36/4.56 ** KEPT (pick-wt=9): 36 [] smaller(A,B)|A=B|greater(A,B).
% 4.36/4.56 ** KEPT (pick-wt=3): 37 [] greater(high,mod1).
% 4.36/4.56 ** KEPT (pick-wt=3): 38 [] greater(mod1,low).
% 4.36/4.56 ** KEPT (pick-wt=3): 39 [] greater(low,very_low).
% 4.36/4.56 ** KEPT (pick-wt=3): 40 [] greater(high,mod2).
% 4.36/4.56 ** KEPT (pick-wt=3): 41 [] greater(mod2,low).
% 4.36/4.56 ** KEPT (pick-wt=2): 42 [] organization($c4).
% 4.36/4.56 ** KEPT (pick-wt=4): 43 [] robust_position($c4)|fragile_position($c4).
% 4.36/4.56 ** KEPT (pick-wt=2): 44 [] has_endowment($c4).
% 4.36/4.56 ** KEPT (pick-wt=5): 45 [] age($c4,$c3)=zero.
% 4.36/4.56 ---> New Demodulator: 46 [new_demod,45] age($c4,$c3)=zero.
% 4.36/4.56 ** KEPT (pick-wt=3): 47 [] greater(sigma,zero).
% 4.36/4.56 ** KEPT (pick-wt=3): 48 [] greater(tau,zero).
% 4.36/4.56 ** KEPT (pick-wt=3): 49 [] greater(eta,zero).
% 4.36/4.56 ** KEPT (pick-wt=5): 50 [] smaller_or_e_qual(age($c4,$c2),sigma).
% 4.36/4.56 ** KEPT (pick-wt=5): 51 [] smaller_or_e_qual(age($c4,$c2),tau).
% 4.36/4.56 ** KEPT (pick-wt=5): 52 [] smaller_or_e_qual(age($c4,$c2),eta).
% 4.36/4.56 ** KEPT (pick-wt=5): 53 [] greater(age($c4,$c1),sigma).
% 4.36/4.56 ** KEPT (pick-wt=5): 54 [] greater(age($c4,$c1),tau).
% 4.36/4.56 ** KEPT (pick-wt=5): 55 [] greater(age($c4,$c1),eta).
% 4.36/4.56 Following clause subsumed by 35 during input processing: 0 [copy,35,flip.1] A=A.
% 4.36/4.56 >>>> Starting back demodulation with 46.
% 4.36/4.56
% 4.36/4.56 ======= end of input processing =======
% 4.36/4.56
% 4.36/4.56 =========== start of search ===========
% 4.36/4.56
% 4.36/4.56
% 4.36/4.56 Resetting weight limit to 9.
% 4.36/4.56
% 4.36/4.56
% 4.36/4.56 Resetting weight limit to 9.
% 4.36/4.56
% 4.36/4.56 sos_size=3199
% 4.36/4.56
% 4.36/4.56 -------- PROOF --------
% 4.36/4.56
% 4.36/4.56 -----> EMPTY CLAUSE at 2.60 sec ----> 4028 [hyper,4021,13,1300,55,unit_del,32,32] $F.
% 4.36/4.56
% 4.36/4.56 Length of proof is 25. Level of proof is 8.
% 4.36/4.56
% 4.36/4.56 ---------------- PROOF ----------------
% 4.36/4.56 % SZS status Theorem
% 4.36/4.56 % SZS output start Refutation
% See solution above
% 4.36/4.56 ------------ end of proof -------------
% 4.36/4.56
% 4.36/4.56
% 4.36/4.56 Search stopped by max_proofs option.
% 4.36/4.56
% 4.36/4.56
% 4.36/4.56 Search stopped by max_proofs option.
% 4.36/4.56
% 4.36/4.56 ============ end of search ============
% 4.36/4.56
% 4.36/4.56 -------------- statistics -------------
% 4.36/4.56 clauses given 547
% 4.36/4.56 clauses generated 32820
% 4.36/4.56 clauses kept 4022
% 4.36/4.56 clauses forward subsumed 4426
% 4.36/4.56 clauses back subsumed 361
% 4.36/4.56 Kbytes malloced 4882
% 4.36/4.56
% 4.36/4.56 ----------- times (seconds) -----------
% 4.36/4.56 user CPU time 2.60 (0 hr, 0 min, 2 sec)
% 4.36/4.56 system CPU time 0.01 (0 hr, 0 min, 0 sec)
% 4.36/4.56 wall-clock time 4 (0 hr, 0 min, 4 sec)
% 4.36/4.56
% 4.36/4.56 That finishes the proof of the theorem.
% 4.36/4.56
% 4.36/4.56 Process 21620 finished Wed Jul 27 03:23:52 2022
% 4.36/4.56 Otter interrupted
% 4.36/4.56 PROOF FOUND
%------------------------------------------------------------------------------