TPTP Problem File: MGT038-10.p
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- Solve Problem
%------------------------------------------------------------------------------
% File : MGT038-10 : TPTP v9.0.0. Released v7.5.0.
% Domain : Puzzles
% Problem : FMs become extinct in stable environments
% Version : Especial.
% English :
% Refs : [CS18] Claessen & Smallbone (2018), Efficient Encodings of Fi
% : [Sma18] Smallbone (2018), Email to Geoff Sutcliffe
% Source : [Sma18]
% Names :
% Status : Satisfiable
% Rating : 0.00 v7.5.0
% Syntax : Number of clauses : 14 ( 14 unt; 0 nHn; 4 RR)
% Number of literals : 14 ( 14 equ; 1 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 1 ( 0 usr; 0 prp; 2-2 aty)
% Number of functors : 22 ( 22 usr; 9 con; 0-4 aty)
% Number of variables : 21 ( 3 sgn)
% SPC : CNF_SAT_RFO_PEQ_UEQ
% Comments : Converted from MGT038-1 to UEQ using [CS18].
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cnf(ifeq_axiom,axiom,
ifeq2(A,A,B,C) = B ).
cnf(ifeq_axiom_001,axiom,
ifeq(A,A,B,C) = B ).
cnf(mp7_first_movers_exist_17,axiom,
finite_set(first_movers) = true ).
cnf(mp_stable_first_movers_18,axiom,
ifeq(environment(A),true,ifeq(stable(A),true,in_environment(A,appear(first_movers,A)),true),true) = true ).
cnf(mp_contracting_time_19,axiom,
ifeq(finite_set(A),true,ifeq(contracts_from(B,A),true,greater(sk1(B,A),B),true),true) = true ).
cnf(mp_contracting_time_20,axiom,
ifeq2(finite_set(A),true,ifeq2(contracts_from(B,A),true,cardinality_at_time(s,t2),zero),zero) = zero ).
cnf(mp_long_stable_environments_21,axiom,
ifeq(greater(C,B),true,ifeq(in_environment(A,B),true,ifeq(environment(A),true,ifeq(stable(A),true,in_environment(A,C),true),true),true),true) = true ).
cnf(mp_greater_transitivity_22,axiom,
ifeq(greater(B,C),true,ifeq(greater(A,B),true,greater(A,C),true),true) = true ).
cnf(l9_23,hypothesis,
ifeq(environment(A),true,ifeq(stable(A),true,greater(sk2(A),appear(efficient_producers,A)),true),true) = true ).
cnf(l9_24,hypothesis,
ifeq(environment(A),true,ifeq(stable(A),true,contracts_from(sk2(A),first_movers),true),true) = true ).
cnf(a13_25,hypothesis,
ifeq(environment(A),true,greater(appear(efficient_producers,e),appear(first_movers,A)),true) = true ).
cnf(prove_t7_26,negated_conjecture,
environment(sk3) = true ).
cnf(prove_t7_27,negated_conjecture,
stable(sk3) = true ).
cnf(prove_t7_28,negated_conjecture,
tuple(cardinality_at_time(first_movers,to),in_environment(sk3,A),greater(A,appear(first_movers,sk3))) != tuple(zero,true,true) ).
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