0.08/0.14	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.08/0.15	% Command    : twee %s --tstp --casc --quiet --explain-encoding --conditional-encoding if --smaller --drop-non-horn
0.14/0.37	% Computer   : n008.cluster.edu
0.14/0.37	% Model      : x86_64 x86_64
0.14/0.37	% CPU        : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.14/0.37	% Memory     : 8042.1875MB
0.14/0.37	% OS         : Linux 3.10.0-693.el7.x86_64
0.14/0.37	% CPULimit   : 180
0.14/0.37	% DateTime   : Thu Aug 29 13:07:09 EDT 2019
0.14/0.37	% CPUTime    : 
69.45/69.68	% SZS status Unsatisfiable
69.45/69.68	
69.45/69.68	% SZS output start Proof
69.45/69.68	Take the following subset of the input axioms:
69.45/69.69	  fof(ax2_2388, axiom, genlmt(c_tptpgeo_spindlecollectormt, c_tptpgeo_member5_mt)=true).
69.45/69.69	  fof(ax2_489, axiom, ifeq4(mtvisible(c_tptpgeo_member5_mt), true, borderson(c_georegion_l4_x56_y47, c_georegion_l4_x57_y47), true)=true).
69.45/69.69	  fof(ax2_7642, axiom, ![X, Y]: ifeq4(borderson(X, Y), true, borderson(Y, X), true)=true).
69.45/69.69	  fof(ax2_7997, axiom, ![SPECMT, GENLMT]: true=ifeq4(genlmt(SPECMT, GENLMT), true, ifeq4(mtvisible(SPECMT), true, mtvisible(GENLMT), true), true)).
69.45/69.69	  fof(goal, negated_conjecture, b!=a).
69.45/69.69	  fof(ifeq_axiom, axiom, ![A, B, C]: ifeq4(A, A, B, C)=B).
69.45/69.69	  fof(ifeq_axiom_001, axiom, ![A, B, C]: ifeq3(A, A, B, C)=B).
69.45/69.69	  fof(query159, negated_conjecture, mtvisible(c_tptpgeo_spindlecollectormt)=true).
69.45/69.69	  fof(query159_1, negated_conjecture, ifeq3(borderson(c_georegion_l4_x57_y47, c_georegion_l4_x56_y47), true, a, b)=b).
69.45/69.69	
69.45/69.69	Now clausify the problem and encode Horn clauses using encoding 3 of
69.45/69.69	http://www.cse.chalmers.se/~nicsma/papers/horn.pdf.
69.45/69.69	We repeatedly replace C & s=t => u=v by the two clauses:
69.45/69.69	  fresh(y, y, x1...xn) = u
69.45/69.69	  C => fresh(s, t, x1...xn) = v
69.45/69.69	where fresh is a fresh function symbol and x1..xn are the free
69.45/69.69	variables of u and v.
69.45/69.69	A predicate p(X) is encoded as p(X)=true (this is sound, because the
69.45/69.69	input problem has no model of domain size 1).
69.45/69.69	
69.45/69.69	The encoding turns the above axioms into the following unit equations and goals:
69.45/69.69	
69.45/69.69	Axiom 1 (ax2_2388): genlmt(c_tptpgeo_spindlecollectormt, c_tptpgeo_member5_mt) = true.
69.45/69.69	Axiom 2 (ax2_489): ifeq4(mtvisible(c_tptpgeo_member5_mt), true, borderson(c_georegion_l4_x56_y47, c_georegion_l4_x57_y47), true) = true.
69.45/69.69	Axiom 3 (query159): mtvisible(c_tptpgeo_spindlecollectormt) = true.
69.45/69.69	Axiom 4 (ifeq_axiom): ifeq4(X, X, Y, Z) = Y.
69.45/69.69	Axiom 5 (ax2_7642): ifeq4(borderson(X, Y), true, borderson(Y, X), true) = true.
69.45/69.69	Axiom 6 (ifeq_axiom_001): ifeq3(X, X, Y, Z) = Y.
69.45/69.69	Axiom 7 (ax2_7997): true = ifeq4(genlmt(X, Y), true, ifeq4(mtvisible(X), true, mtvisible(Y), true), true).
69.45/69.69	Axiom 8 (query159_1): ifeq3(borderson(c_georegion_l4_x57_y47, c_georegion_l4_x56_y47), true, a, b) = b.
69.45/69.69	
69.45/69.69	Goal 1 (goal): b = a.
69.45/69.69	Proof:
69.45/69.69	  b
69.45/69.69	= { by axiom 8 (query159_1) }
69.45/69.69	  ifeq3(borderson(c_georegion_l4_x57_y47, c_georegion_l4_x56_y47), true, a, b)
69.45/69.69	= { by axiom 4 (ifeq_axiom) }
69.45/69.69	  ifeq3(ifeq4(true, true, borderson(c_georegion_l4_x57_y47, c_georegion_l4_x56_y47), true), true, a, b)
69.45/69.69	= { by axiom 2 (ax2_489) }
69.45/69.69	  ifeq3(ifeq4(ifeq4(mtvisible(c_tptpgeo_member5_mt), true, borderson(c_georegion_l4_x56_y47, c_georegion_l4_x57_y47), true), true, borderson(c_georegion_l4_x57_y47, c_georegion_l4_x56_y47), true), true, a, b)
69.45/69.69	= { by axiom 4 (ifeq_axiom) }
69.45/69.69	  ifeq3(ifeq4(ifeq4(ifeq4(true, true, mtvisible(c_tptpgeo_member5_mt), true), true, borderson(c_georegion_l4_x56_y47, c_georegion_l4_x57_y47), true), true, borderson(c_georegion_l4_x57_y47, c_georegion_l4_x56_y47), true), true, a, b)
69.45/69.69	= { by axiom 3 (query159) }
69.45/69.69	  ifeq3(ifeq4(ifeq4(ifeq4(mtvisible(c_tptpgeo_spindlecollectormt), true, mtvisible(c_tptpgeo_member5_mt), true), true, borderson(c_georegion_l4_x56_y47, c_georegion_l4_x57_y47), true), true, borderson(c_georegion_l4_x57_y47, c_georegion_l4_x56_y47), true), true, a, b)
69.45/69.69	= { by axiom 4 (ifeq_axiom) }
69.45/69.69	  ifeq3(ifeq4(ifeq4(ifeq4(true, true, ifeq4(mtvisible(c_tptpgeo_spindlecollectormt), true, mtvisible(c_tptpgeo_member5_mt), true), true), true, borderson(c_georegion_l4_x56_y47, c_georegion_l4_x57_y47), true), true, borderson(c_georegion_l4_x57_y47, c_georegion_l4_x56_y47), true), true, a, b)
69.45/69.69	= { by axiom 1 (ax2_2388) }
69.45/69.69	  ifeq3(ifeq4(ifeq4(ifeq4(genlmt(c_tptpgeo_spindlecollectormt, c_tptpgeo_member5_mt), true, ifeq4(mtvisible(c_tptpgeo_spindlecollectormt), true, mtvisible(c_tptpgeo_member5_mt), true), true), true, borderson(c_georegion_l4_x56_y47, c_georegion_l4_x57_y47), true), true, borderson(c_georegion_l4_x57_y47, c_georegion_l4_x56_y47), true), true, a, b)
69.45/69.69	= { by axiom 7 (ax2_7997) }
69.45/69.69	  ifeq3(ifeq4(ifeq4(true, true, borderson(c_georegion_l4_x56_y47, c_georegion_l4_x57_y47), true), true, borderson(c_georegion_l4_x57_y47, c_georegion_l4_x56_y47), true), true, a, b)
69.45/69.69	= { by axiom 4 (ifeq_axiom) }
69.45/69.69	  ifeq3(ifeq4(borderson(c_georegion_l4_x56_y47, c_georegion_l4_x57_y47), true, borderson(c_georegion_l4_x57_y47, c_georegion_l4_x56_y47), true), true, a, b)
69.45/69.69	= { by axiom 5 (ax2_7642) }
69.45/69.69	  ifeq3(true, true, a, b)
69.45/69.69	= { by axiom 6 (ifeq_axiom_001) }
69.45/69.69	  a
69.45/69.69	% SZS output end Proof
69.45/69.69	
69.45/69.69	RESULT: Unsatisfiable (the axioms are contradictory).
69.54/69.73	EOF