0.00/0.03	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.00/0.04	% Command    : twee %s --tstp --casc --quiet --conditional-encoding if --smaller --drop-non-horn
0.02/0.23	% Computer   : n180.star.cs.uiowa.edu
0.02/0.23	% Model      : x86_64 x86_64
0.02/0.23	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.02/0.23	% Memory     : 32218.625MB
0.02/0.23	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.02/0.23	% CPULimit   : 300
0.02/0.23	% DateTime   : Sat Jul 14 04:22:26 CDT 2018
0.02/0.23	% CPUTime    : 
0.78/1.00	% SZS status Theorem
0.78/1.00	
0.78/1.00	% SZS output start Proof
0.78/1.00	Take the following subset of the input axioms:
0.78/1.00	  fof(a1_1, axiom,
0.78/1.00	      ![A, L, C, N]:
0.78/1.00	        (accept_team(A, L, C, N)
0.78/1.00	           <=> (accept_city(A, C)
0.78/1.00	                  & (accept_leader(A, L) & accept_number(A, N))))).
0.78/1.00	  fof(event_181, axiom,
0.78/1.00	      ~accept_team(muslimcountrybhumanitarianorganization,
0.78/1.00	                   countryccivilorganization, towna, n3)).
0.78/1.00	  fof(event_98, axiom,
0.78/1.00	      accept_number(muslimcountrybhumanitarianorganization, n3)).
0.78/1.00	  fof(event_99, axiom,
0.78/1.00	      accept_team(muslimcountrybhumanitarianorganization,
0.78/1.00	                  countryccivilorganization, townc, n4)).
0.78/1.00	  fof(query_15, conjecture, ?[X, Y]: ~accept_city(X, Y)).
0.78/1.00	
0.78/1.00	Now clausify the problem and encode Horn clauses using encoding 3 of
0.78/1.00	http://www.cse.chalmers.se/~nicsma/papers/horn.pdf.
0.78/1.00	We repeatedly replace C & s=t => u=v by the two clauses:
0.78/1.00	  $$fresh(y, y, x1...xn) = u
0.78/1.00	  C => $$fresh(s, t, x1...xn) = v
0.78/1.00	where $$fresh is a fresh function symbol and x1..xn are the free
0.78/1.00	variables of u and v.
0.78/1.00	A predicate p(X) is encoded as p(X)=$$true (this is sound, because the
0.78/1.00	input problem has no model of domain size 1).
0.78/1.00	
0.78/1.00	The encoding turns the above axioms into the following unit equations and goals:
0.78/1.00	
0.78/1.00	Axiom 1 (a1_1): $$fresh90(X, X, Y, Z, W, V) = accept_team(Y, V, Z, W).
0.78/1.00	Axiom 2 (a1_1): $$fresh137(X, X, Y, Z, W, V) = $$true2.
0.78/1.00	Axiom 3 (a1_1): $$fresh138(X, X, Y, Z, W, V) = $$fresh137(accept_city(Y, Z), $$true2, Y, Z, W, V).
0.78/1.00	Axiom 6 (a1_1_3): $$fresh87(X, X, Y, Z) = $$true2.
0.78/1.00	Axiom 195 (a1_1_3): $$fresh87(accept_team(X, Y, Z, W), $$true2, X, Y) = accept_leader(X, Y).
0.78/1.00	Axiom 198 (a1_1): $$fresh138(accept_leader(X, Y), $$true2, X, Z, W, Y) = $$fresh90(accept_number(X, W), $$true2, X, Z, W, Y).
0.78/1.00	Axiom 269 (event_99): accept_team(muslimcountrybhumanitarianorganization, countryccivilorganization, townc, n4) = $$true2.
0.78/1.00	Axiom 295 (event_98): accept_number(muslimcountrybhumanitarianorganization, n3) = $$true2.
0.78/1.01	Axiom 747 (query_15): accept_city(X, Y) = $$true2.
0.78/1.01	
0.78/1.01	Goal 1 (event_181): accept_team(muslimcountrybhumanitarianorganization, countryccivilorganization, towna, n3) = $$true2.
0.78/1.01	Proof:
0.78/1.01	  accept_team(muslimcountrybhumanitarianorganization, countryccivilorganization, towna, n3)
0.78/1.01	= { by axiom 1 (a1_1) }
0.78/1.01	  $$fresh90($$true2, $$true2, muslimcountrybhumanitarianorganization, towna, n3, countryccivilorganization)
0.78/1.01	= { by axiom 295 (event_98) }
0.78/1.01	  $$fresh90(accept_number(muslimcountrybhumanitarianorganization, n3), $$true2, muslimcountrybhumanitarianorganization, towna, n3, countryccivilorganization)
0.78/1.01	= { by axiom 198 (a1_1) }
0.78/1.01	  $$fresh138(accept_leader(muslimcountrybhumanitarianorganization, countryccivilorganization), $$true2, muslimcountrybhumanitarianorganization, towna, n3, countryccivilorganization)
0.78/1.01	= { by axiom 195 (a1_1_3) }
0.78/1.01	  $$fresh138($$fresh87(accept_team(muslimcountrybhumanitarianorganization, countryccivilorganization, townc, n4), $$true2, muslimcountrybhumanitarianorganization, countryccivilorganization), $$true2, muslimcountrybhumanitarianorganization, towna, n3, countryccivilorganization)
0.78/1.01	= { by axiom 269 (event_99) }
0.78/1.01	  $$fresh138($$fresh87($$true2, $$true2, muslimcountrybhumanitarianorganization, countryccivilorganization), $$true2, muslimcountrybhumanitarianorganization, towna, n3, countryccivilorganization)
0.78/1.01	= { by axiom 6 (a1_1_3) }
0.78/1.01	  $$fresh138($$true2, $$true2, muslimcountrybhumanitarianorganization, towna, n3, countryccivilorganization)
0.78/1.01	= { by axiom 3 (a1_1) }
0.78/1.01	  $$fresh137(accept_city(muslimcountrybhumanitarianorganization, towna), $$true2, muslimcountrybhumanitarianorganization, towna, n3, countryccivilorganization)
0.78/1.01	= { by axiom 747 (query_15) }
0.78/1.01	  $$fresh137($$true2, $$true2, muslimcountrybhumanitarianorganization, towna, n3, countryccivilorganization)
0.78/1.01	= { by axiom 2 (a1_1) }
0.78/1.01	  $$true2
0.78/1.01	% SZS output end Proof
0.78/1.01	
0.78/1.01	RESULT: Theorem (the conjecture is true).
0.78/1.01	EOF