0.00/0.03	% Problem  : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.00/0.08	% Command  : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox/solver/bin/leo3.jar /export/starexec/sandbox/benchmark/theBenchmark.p -t 180 -p  --atp eprover=/export/starexec/sandbox/solver/bin/externals/eprover --instantiate 39
0.17/0.41	% Computer : n013.cluster.edu
0.17/0.41	% Model    : x86_64 x86_64
0.17/0.41	% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.17/0.41	% Memory   : 8046.5625MB
0.17/0.41	% OS       : Linux 6.8.0-71-generic
0.17/0.42	% CPULimit : 1440
0.17/0.42	% WCLimit  : 180
0.17/0.42	% DateTime : Mon Jul 27 12:42:23 UTC 2026
0.17/0.42	% CPUTime  : 
0.17/0.42	Running java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox/solver/bin/leo3.jar /export/starexec/sandbox/benchmark/theBenchmark.p -t 180 -p  --atp eprover=/export/starexec/sandbox/solver/bin/externals/eprover --instantiate 39
1.14/1.09	% [INFO] 	 Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ... 
1.84/1.49	% [INFO] 	 Parsing done (396ms). 
2.25/1.51	% [INFO] 	 Running in sequential loop mode. 
3.32/2.06	% [INFO] 	 eprover registered as external prover. 
3.32/2.07	% [INFO] 	 Scanning for conjecture ... 
3.68/2.26	% [INFO] 	 Found a conjecture (or negated_conjecture) and 8 axioms. Running axiom selection ... 
3.68/2.29	% [INFO] 	 Axiom selection finished. Selected 8 axioms (removed 0 axioms). 
3.68/2.29	% [INFO] 	 Problem is higher-order (TPTP THF). 
3.68/2.30	% [INFO] 	 Type checking passed. 
3.97/2.30	% [CONFIG] 	 Using configuration: timeout(180) with strategy<name(default),share(1.0),primSubst(3),sos(false),unifierCount(4),uniDepth(8),boolExt(true),choice(true),renaming(true),funcspec(false), domConstr(0),specialInstances(39),restrictUniAttempts(true),termOrdering(CPO)>.  Searching for refutation ... 
96.22/19.02	% External prover 'e' found a proof!
96.22/19.02	% [INFO] 	 Killing All external provers ... 
96.22/19.02	% Time passed: 18407ms (effective reasoning time: 17501ms)
96.22/19.02	% Solved by strategy<name(default),share(1.0),primSubst(3),sos(false),unifierCount(4),uniDepth(8),boolExt(true),choice(true),renaming(true),funcspec(false), domConstr(0),specialInstances(39),restrictUniAttempts(true),termOrdering(CPO)>
96.22/19.03	% Axioms used in derivation (8): k_axiom_for_fool, ax2, c_symmetric, i_axiom_for_fool_a, ax1, t_axiom_for_fool, ax3, c_reflexive
96.22/19.03	% No. of inferences in proof: 508
96.22/19.03	% SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 18407 ms resp. 17501 ms w/o parsing
97.47/19.19	% SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
97.47/19.19	thf(mu_type, type, mu: $tType).
97.47/19.19	thf(reg_type, type, reg: $tType).
97.47/19.19	thf(mnot_decl, type, mnot: (($i > $o) > ($i > $o))).
97.47/19.19	thf(mor_decl, type, mor: (($i > $o) > (($i > $o) > ($i > $o)))).
97.47/19.19	thf(mimplies_decl, type, mimplies: (($i > $o) > (($i > $o) > ($i > $o)))).
97.47/19.19	thf(mforall_prop_decl, type, mforall_prop: ((($i > $o) > ($i > $o)) > ($i > $o))).
97.47/19.19	thf(mbox_decl, type, mbox: (($i > ($i > $o)) > (($i > $o) > ($i > $o)))).
97.47/19.19	thf(mvalid_decl, type, mvalid: (($i > $o) > $o)).
97.47/19.19	thf(c_decl, type, c: (reg > (reg > $o))).
97.47/19.19	thf(p_decl, type, p: (reg > (reg > $o))).
97.47/19.19	thf(eq_decl, type, eq: (reg > (reg > $o))).
97.47/19.19	thf(o_decl, type, o: (reg > (reg > $o))).
97.47/19.19	thf(ec_decl, type, ec: (reg > (reg > $o))).
97.47/19.19	thf(pp_decl, type, pp: (reg > (reg > $o))).
97.47/19.19	thf(tpp_decl, type, tpp: (reg > (reg > $o))).
97.47/19.19	thf(ntpp_decl, type, ntpp: (reg > (reg > $o))).
97.47/19.19	thf(catalunya_decl, type, catalunya: reg).
97.47/19.19	thf(france_decl, type, france: reg).
97.47/19.19	thf(spain_decl, type, spain: reg).
97.47/19.19	thf(paris_decl, type, paris: reg).
97.47/19.19	thf(a_decl, type, a: ($i > ($i > $o))).
97.47/19.19	thf(fool_decl, type, fool: ($i > ($i > $o))).
97.47/19.19	thf(sk1_decl, type, sk1: $i).
97.47/19.19	thf(sk2_decl, type, sk2: $i).
97.47/19.19	thf(sk3_decl, type, sk3: (reg > $o)).
97.47/19.19	thf(sk4_decl, type, sk4: (reg > (reg > reg))).
97.47/19.19	thf(sk5_decl, type, sk5: (reg > (reg > reg))).
97.47/19.19	thf(sk6_decl, type, sk6: (reg > $o)).
97.47/19.19	thf(sk7_decl, type, sk7: (reg > (reg > reg))).
97.47/19.19	thf(sk8_decl, type, sk8: (reg > (reg > reg))).
97.47/19.19	thf(sk9_decl, type, sk9: (($i > $o) > ($i > $i))).
97.47/19.19	thf(sk10_decl, type, sk10: reg).
97.47/19.19	thf(sk11_decl, type, sk11: (reg > reg)).
97.47/19.19	thf(sk12_decl, type, sk12: (reg > reg)).
97.47/19.19	thf(sk13_decl, type, sk13: (reg > reg)).
97.47/19.19	thf(sk14_decl, type, sk14: (reg > reg)).
97.47/19.19	thf(sk15_decl, type, sk15: (($i > $o) > ($i > $i))).
97.47/19.19	thf(sk16_decl, type, sk16: (($i > $o) > ($i > $i))).
97.47/19.19	thf(sk17_decl, type, sk17: reg).
97.47/19.19	thf(sk18_decl, type, sk18: reg).
97.47/19.19	thf(sk19_decl, type, sk19: (reg > reg)).
97.47/19.19	thf(sk20_decl, type, sk20: (reg > reg)).
97.47/19.19	thf(sk21_decl, type, sk21: (reg > reg)).
97.47/19.19	thf(sk22_decl, type, sk22: (reg > reg)).
97.47/19.19	thf(mnot_def, definition, mnot = (^ [A:($i > $o),B:$i]: ~ (A @ B)) ).
97.47/19.19	thf(mor_def, definition, mor = (^ [A:($i > $o),B:($i > $o),C:$i]: ((A @ C) | (B @ C))) ).
97.47/19.19	thf(mimplies_def, definition, mimplies = (^ [A:($i > $o)]: (mor @ (mnot @ A))) ).
97.47/19.19	thf(mforall_prop_def, definition, mforall_prop = (^ [A:(($i > $o) > ($i > $o)),B:$i]: ! [C:($i > $o)]: (A @ C @ B)) ).
97.47/19.19	thf(mbox_def, definition, mbox = (^ [A:($i > ($i > $o)),B:($i > $o),C:$i]: ! [D:$i]: (~ (A @ C @ D) | (B @ D))) ).
97.47/19.19	thf(mvalid_def, definition, mvalid = ((!) @ $i) ).
97.47/19.19	thf(p_def, definition, p = (^ [A:reg,B:reg]: ! [C:reg]: ((c @ C @ A) => (c @ C @ B))) ).
97.47/19.19	thf(eq_def, definition, eq = (^ [A:reg,B:reg]: ((p @ A @ B) & (p @ B @ A))) ).
97.47/19.19	thf(o_def, definition, o = (^ [A:reg,B:reg]: ? [C:reg]: ((p @ C @ A) & (p @ C @ B))) ).
97.47/19.19	thf(ec_def, definition, ec = (^ [A:reg,B:reg]: ((c @ A @ B) & ~ (o @ A @ B))) ).
97.47/19.19	thf(pp_def, definition, pp = (^ [A:reg,B:reg]: ((p @ A @ B) & ~ (p @ B @ A))) ).
97.47/19.19	thf(tpp_def, definition, tpp = (^ [A:reg,B:reg]: ((pp @ A @ B) & ? [C:reg]: ((ec @ C @ A) & (ec @ C @ B)))) ).
97.47/19.19	thf(ntpp_def, definition, ntpp = (^ [A:reg,B:reg]: ((pp @ A @ B) & ~ (? [C:reg]: ((ec @ C @ A) & (ec @ C @ B))))) ).
97.47/19.19	thf(sk1_def, definition, sk1 = (@+ [A:$i]: ? [B:$i]: (a @ A @ B)) ).
97.47/19.19	thf(sk2_def, definition, sk2 = (@+ [A:$i]: (a @ sk1 @ A)) ).
97.47/19.19	thf(sk4_def, definition, sk4 = (^ [A:reg,B:reg]: (@+ [C:reg]: ~ ((c @ C @ A) => (c @ C @ B)))) ).
97.47/19.19	thf(sk5_def, definition, sk5 = (^ [A:reg,B:reg]: (@+ [C:reg]: ~ ((c @ C @ A) => (c @ C @ france)))) ).
97.47/19.19	thf(sk7_def, definition, sk7 = (^ [A:reg,B:reg]: (@+ [C:reg]: ~ ((c @ C @ A) => (c @ C @ B)))) ).
97.47/19.19	thf(sk8_def, definition, sk8 = (^ [A:reg,B:reg]: (@+ [C:reg]: ~ ((c @ C @ A) => (c @ C @ france)))) ).
97.47/19.19	thf(sk9_def, definition, sk9 = (^ [A:($i > $o),B:$i]: (@+ [C:$i]: ~ (~ (fool @ B @ C) | (A @ C)))) ).
97.47/19.19	thf(sk10_def, definition, sk10 = (@+ [A:reg]: ~ ((c @ A @ france) => (c @ A @ paris))) ).
97.47/19.19	thf(sk11_def, definition, sk11 = (^ [A:reg]: (@+ [B:reg]: (! [C:reg]: ((c @ C @ B) => (c @ C @ A)) & ! [C:reg]: ((c @ C @ B) => (c @ C @ paris))))) ).
97.47/19.19	thf(sk12_def, definition, sk12 = (^ [A:reg]: (@+ [B:reg]: (! [C:reg]: ((c @ C @ B) => (c @ C @ A)) & ! [C:reg]: ((c @ C @ B) => (c @ C @ france))))) ).
97.47/19.19	thf(sk13_def, definition, sk13 = (^ [A:reg]: (@+ [B:reg]: ~ ((c @ B @ A) => (c @ B @ spain)))) ).
97.47/19.19	thf(sk14_def, definition, sk14 = (^ [A:reg]: (@+ [B:reg]: ~ ((c @ B @ A) => (c @ B @ france)))) ).
97.47/19.19	thf(sk15_def, definition, sk15 = (^ [A:($i > $o),B:$i]: (@+ [C:$i]: ~ (~ (fool @ B @ C) | (A @ C)))) ).
97.47/19.19	thf(sk16_def, definition, sk16 = (^ [A:($i > $o),B:$i]: (@+ [C:$i]: ~ (~ (fool @ B @ C) | (A @ C)))) ).
97.47/19.19	thf(sk17_def, definition, sk17 = (@+ [A:reg]: ~ ((c @ A @ spain) => (c @ A @ catalunya))) ).
97.47/19.19	thf(sk18_def, definition, sk18 = (@+ [A:reg]: ((c @ A @ catalunya) & ~ (? [B:reg]: (! [C:reg]: ((c @ C @ B) => (c @ C @ A)) & ! [C:reg]: ((c @ C @ B) => (c @ C @ catalunya)))) & (c @ A @ spain) & ~ (? [B:reg]: (! [C:reg]: ((c @ C @ B) => (c @ C @ A)) & ! [C:reg]: ((c @ C @ B) => (c @ C @ spain)))))) ).
97.47/19.19	thf(sk19_def, definition, sk19 = (^ [A:reg]: (@+ [B:reg]: ~ ((c @ B @ A) => (c @ B @ sk18)))) ).
97.47/19.19	thf(sk20_def, definition, sk20 = (^ [A:reg]: (@+ [B:reg]: ~ ((c @ B @ A) => (c @ B @ catalunya)))) ).
97.47/19.19	thf(sk21_def, definition, sk21 = (^ [A:reg]: (@+ [B:reg]: ~ ((c @ B @ A) => (c @ B @ sk18)))) ).
97.47/19.19	thf(sk22_def, definition, sk22 = (^ [A:reg]: (@+ [B:reg]: ~ ((c @ B @ A) => (c @ B @ spain)))) ).
97.47/19.19	thf(8,axiom,((mvalid @ (mforall_prop @ (^ [A:($i > $o)]: (mimplies @ (mbox @ fool @ A) @ A))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',t_axiom_for_fool)).
97.47/19.19	thf(63,plain,((! [A:$i,B:($i > $o)]: (~ (! [C:$i]: (~ (fool @ A @ C) | (B @ C))) | (B @ A)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[8])).
97.47/19.19	thf(64,plain,(! [B:($i > $o),A:$i] : ((((fool @ A @ (sk15 @ (B) @ A)) | (B @ A)) & (~ (B @ (sk15 @ (B) @ A)) | (B @ A))))),inference(cnf,[status(esa)],[63])).
97.47/19.19	thf(65,plain,(! [B:($i > $o),A:$i] : ((fool @ A @ (sk15 @ (B) @ A)) | (B @ A))),inference(cnfConj,[status(thm)],[64])).
97.47/19.19	thf(1,conjecture,((mvalid @ (mbox @ a @ (^ [A:$i]: ? [B:reg,C:reg]: ((o @ B @ france) & (o @ B @ france) & ~ (eq @ B @ C)))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',con)).
97.47/19.19	thf(2,negated_conjecture,((~ (mvalid @ (mbox @ a @ (^ [A:$i]: ? [B:reg,C:reg]: ((o @ B @ france) & (o @ B @ france) & ~ (eq @ B @ C))))))),inference(neg_conjecture,[status(cth)],[1])).
97.47/19.19	thf(11,plain,((~ (! [A:$i,B:$i]: (~ (a @ A @ B) | ? [C:reg,D:reg]: (? [E:reg]: (! [F:reg]: ((c @ F @ E) => (c @ F @ C)) & ! [F:reg]: ((c @ F @ E) => (c @ F @ france))) & ? [E:reg]: (! [F:reg]: ((c @ F @ E) => (c @ F @ C)) & ! [F:reg]: ((c @ F @ E) => (c @ F @ france))) & ~ (! [E:reg]: ((c @ E @ C) => (c @ E @ D)) & ! [E:reg]: ((c @ E @ D) => (c @ E @ C)))))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[2])).
97.47/19.19	thf(12,plain,((~ (~ (? [A:$i,B:$i]: (a @ A @ B)) | ? [A:reg]: (? [B:reg]: (! [C:reg]: ((c @ C @ B) => (c @ C @ A)) & ! [C:reg]: ((c @ C @ B) => (c @ C @ france))) & ? [B:reg]: (! [C:reg]: ((c @ C @ B) => (c @ C @ A)) & ! [C:reg]: ((c @ C @ B) => (c @ C @ france))) & ~ (! [B:reg,C:reg]: ((c @ C @ A) => (c @ C @ B)) & ! [B:reg,C:reg]: ((c @ C @ B) => (c @ C @ A))))))),inference(miniscope,[status(thm)],[11])).
97.47/19.19	thf(13,plain,(! [G:reg,F:reg,E:reg,D:reg,C:reg,B:reg,A:reg] : (((a @ sk1 @ sk2) & ((c @ (sk4 @ B @ A) @ B) | (c @ (sk5 @ B @ A) @ B) | ~ (sk3 @ A)) & ((c @ (sk4 @ B @ A) @ B) | ~ (c @ (sk5 @ B @ A) @ france) | ~ (sk3 @ A)) & (~ (c @ (sk4 @ B @ A) @ A) | (c @ (sk5 @ B @ A) @ B) | ~ (sk3 @ A)) & (~ (c @ (sk4 @ B @ A) @ A) | ~ (c @ (sk5 @ B @ A) @ france) | ~ (sk3 @ A)) & ((sk3 @ A) | (c @ (sk7 @ C @ A) @ C) | (c @ (sk8 @ C @ A) @ C) | ~ (sk6 @ A)) & ((sk3 @ A) | (c @ (sk7 @ C @ A) @ C) | ~ (c @ (sk8 @ C @ A) @ france) | ~ (sk6 @ A)) & ((sk3 @ A) | ~ (c @ (sk7 @ C @ A) @ A) | (c @ (sk8 @ C @ A) @ C) | ~ (sk6 @ A)) & ((sk3 @ A) | ~ (c @ (sk7 @ C @ A) @ A) | ~ (c @ (sk8 @ C @ A) @ france) | ~ (sk6 @ A)) & ((sk3 @ A) | (sk6 @ A) | ~ (c @ E @ A) | (c @ E @ D)) & ((sk3 @ A) | (sk6 @ A) | ~ (c @ G @ F) | (c @ G @ A))))),inference(cnf,[status(esa)],[12])).
97.47/19.19	thf(19,plain,((a @ sk1 @ sk2)),inference(cnfConj,[status(thm)],[13])).
97.47/19.19	thf(6,axiom,((mvalid @ (mbox @ a @ (^ [A:$i]: (ntpp @ paris @ france))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3)).
97.47/19.19	thf(41,plain,((! [A:$i,B:$i]: (~ (a @ A @ B) | (! [C:reg]: ((c @ C @ paris) => (c @ C @ france)) & ~ (! [C:reg]: ((c @ C @ france) => (c @ C @ paris))) & ~ (? [C:reg]: ((c @ C @ paris) & ~ (? [D:reg]: (! [E:reg]: ((c @ E @ D) => (c @ E @ C)) & ! [E:reg]: ((c @ E @ D) => (c @ E @ paris)))) & (c @ C @ france) & ~ (? [D:reg]: (! [E:reg]: ((c @ E @ D) => (c @ E @ C)) & ! [E:reg]: ((c @ E @ D) => (c @ E @ france)))))))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[6])).
97.47/19.19	thf(42,plain,((~ (? [A:$i,B:$i]: (a @ A @ B)) | (! [A:reg]: ((c @ A @ paris) => (c @ A @ france)) & ~ (! [A:reg]: ((c @ A @ france) => (c @ A @ paris))) & ~ (? [A:reg]: ((c @ A @ paris) & ~ (? [B:reg]: (! [C:reg]: ((c @ C @ B) => (c @ C @ A)) & ! [C:reg]: ((c @ C @ B) => (c @ C @ paris)))) & (c @ A @ france) & ~ (? [B:reg]: (! [C:reg]: ((c @ C @ B) => (c @ C @ A)) & ! [C:reg]: ((c @ C @ B) => (c @ C @ france))))))))),inference(miniscope,[status(thm)],[41])).
97.47/19.19	thf(43,plain,(! [H:reg,G:reg,F:reg,E:reg,D:reg,C:reg,B:$i,A:$i] : (((~ (a @ A @ B) | ~ (c @ C @ paris) | (c @ C @ france)) & (~ (a @ A @ B) | (c @ sk10 @ france)) & (~ (a @ A @ B) | ~ (c @ sk10 @ paris)) & (~ (a @ A @ B) | ~ (c @ D @ paris) | ~ (c @ E @ (sk11 @ D)) | (c @ E @ D) | ~ (c @ D @ france) | ~ (c @ G @ (sk12 @ D)) | (c @ G @ D)) & (~ (a @ A @ B) | ~ (c @ D @ paris) | ~ (c @ E @ (sk11 @ D)) | (c @ E @ D) | ~ (c @ D @ france) | ~ (c @ H @ (sk12 @ D)) | (c @ H @ france)) & (~ (a @ A @ B) | ~ (c @ D @ paris) | ~ (c @ F @ (sk11 @ D)) | (c @ F @ paris) | ~ (c @ D @ france) | ~ (c @ G @ (sk12 @ D)) | (c @ G @ D)) & (~ (a @ A @ B) | ~ (c @ D @ paris) | ~ (c @ F @ (sk11 @ D)) | (c @ F @ paris) | ~ (c @ D @ france) | ~ (c @ H @ (sk12 @ D)) | (c @ H @ france))))),inference(cnf,[status(esa)],[42])).
97.47/19.19	thf(44,plain,(! [B:$i,A:$i] : ((~ (a @ A @ B)) | (~ (c @ sk10 @ paris)))),inference(cnfConj,[status(thm)],[43])).
97.47/19.19	thf(101,plain,(! [B:$i,A:$i] : (~ (($true)) | (~ (c @ sk10 @ paris)) | ((a @ sk1 @ sk2) != (a @ A @ B)))),inference(paramod_ordered,[status(thm)],[19,44])).
97.47/19.19	thf(102,plain,(! [B:$i,A:$i] : ((~ (c @ sk10 @ paris)) | ((a @ sk1 @ sk2) != (a @ A @ B)))),inference(simp,[status(thm)],[101])).
97.47/19.19	thf(103,plain,((~ (c @ sk10 @ paris))),inference(pattern_uni,[status(thm)],[102:[bind(A, $thf(sk1)),bind(B, $thf(sk2))]])).
97.47/19.19	thf(110,plain,(! [B:($i > $o),A:$i] : ((fool @ A @ (sk15 @ (B) @ A)) | ~ (($true)) | ((B @ A) != (c @ sk10 @ paris)))),inference(paramod_ordered,[status(thm)],[65,103])).
97.47/19.19	thf(111,plain,(! [B:($i > $o),A:$i] : ((fool @ A @ (sk15 @ (B) @ A)) | ((B @ A) != (c @ sk10 @ paris)))),inference(simp,[status(thm)],[110])).
97.47/19.19	thf(123,plain,(! [A:$i] : ((fool @ A @ (sk15 @ (^ [B:$i]: (c @ sk10 @ paris)) @ A)))),inference(pre_uni,[status(thm)],[111:[bind(A, $thf(A)),bind(B, $thf(^ [C:$i]: (c @ sk10 @ paris)))]])).
97.47/19.19	thf(134,plain,(! [A:$i] : ((fool @ A @ (sk15 @ (^ [B:$i]: (($false))) @ A)))),inference(rewrite,[status(thm)],[123,103])).
97.47/19.19	thf(7,axiom,((mvalid @ (mbox @ fool @ (^ [A:$i]: (ec @ spain @ france))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2)).
97.47/19.19	thf(55,plain,((! [A:$i,B:$i]: (~ (fool @ A @ B) | ((c @ spain @ france) & ~ (? [C:reg]: (! [D:reg]: ((c @ D @ C) => (c @ D @ spain)) & ! [D:reg]: ((c @ D @ C) => (c @ D @ france)))))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[7])).
97.47/19.19	thf(56,plain,((~ (? [A:$i,B:$i]: (fool @ A @ B)) | ((c @ spain @ france) & ~ (? [A:reg]: (! [B:reg]: ((c @ B @ A) => (c @ B @ spain)) & ! [B:reg]: ((c @ B @ A) => (c @ B @ france))))))),inference(miniscope,[status(thm)],[55])).
97.47/19.19	thf(57,plain,(! [C:reg,B:$i,A:$i] : (((~ (fool @ A @ B) | (c @ spain @ france)) & (~ (fool @ A @ B) | (c @ (sk13 @ C) @ C) | (c @ (sk14 @ C) @ C)) & (~ (fool @ A @ B) | (c @ (sk13 @ C) @ C) | ~ (c @ (sk14 @ C) @ france)) & (~ (fool @ A @ B) | ~ (c @ (sk13 @ C) @ spain) | (c @ (sk14 @ C) @ C)) & (~ (fool @ A @ B) | ~ (c @ (sk13 @ C) @ spain) | ~ (c @ (sk14 @ C) @ france))))),inference(cnf,[status(esa)],[56])).
97.47/19.19	thf(62,plain,(! [B:$i,A:$i] : ((~ (fool @ A @ B)) | (c @ spain @ france))),inference(cnfConj,[status(thm)],[57])).
97.47/19.19	thf(246,plain,(! [C:$i,B:$i,A:$i] : (~ (($true)) | (c @ spain @ france) | ((fool @ A @ (sk15 @ (^ [D:$i]: (($false))) @ A)) != (fool @ B @ C)))),inference(paramod_ordered,[status(thm)],[134,62])).
97.47/19.19	thf(247,plain,(! [C:$i,B:$i,A:$i] : ((c @ spain @ france) | ((fool @ A @ (sk15 @ (^ [D:$i]: (($false))) @ A)) != (fool @ B @ C)))),inference(simp,[status(thm)],[246])).
97.47/19.19	thf(248,plain,((c @ spain @ france)),inference(pattern_uni,[status(thm)],[247:[bind(A, $thf(E)),bind(B, $thf(E)),bind(C, $thf(sk15 @ (^ [E:$i]: (($false))) @ E))]])).
97.47/19.19	thf(17,plain,(! [C:reg,B:reg,A:reg] : ((sk3 @ A) | (sk6 @ A) | (~ (c @ C @ B)) | (c @ C @ A))),inference(cnfConj,[status(thm)],[13])).
97.47/19.19	thf(27,plain,(! [C:reg,B:reg,A:reg] : ((sk3 @ A) | (sk6 @ A) | (~ (c @ C @ B)) | (c @ C @ A))),inference(simp,[status(thm)],[17])).
97.47/19.19	thf(745,plain,(! [C:reg,B:reg,A:reg] : ((sk3 @ A) | (sk6 @ A) | ~ (($true)) | (c @ C @ A) | ((c @ spain @ france) != (c @ C @ B)))),inference(paramod_ordered,[status(thm)],[248,27])).
97.47/19.19	thf(746,plain,(! [C:reg,B:reg,A:reg] : ((sk3 @ A) | (sk6 @ A) | (c @ C @ A) | ((c @ spain @ france) != (c @ C @ B)))),inference(simp,[status(thm)],[745])).
97.47/19.19	thf(747,plain,(! [A:reg] : ((sk3 @ A) | (sk6 @ A) | (c @ spain @ A))),inference(pattern_uni,[status(thm)],[746:[bind(A, $thf(A)),bind(B, $thf(france)),bind(C, $thf(spain))]])).
97.47/19.19	thf(50,plain,(! [B:$i,A:$i] : ((~ (a @ A @ B)) | (c @ sk10 @ france))),inference(cnfConj,[status(thm)],[43])).
97.47/19.19	thf(154,plain,(! [B:$i,A:$i] : (~ (($true)) | (c @ sk10 @ france) | ((a @ sk1 @ sk2) != (a @ A @ B)))),inference(paramod_ordered,[status(thm)],[19,50])).
97.47/19.19	thf(155,plain,(! [B:$i,A:$i] : ((c @ sk10 @ france) | ((a @ sk1 @ sk2) != (a @ A @ B)))),inference(simp,[status(thm)],[154])).
97.47/19.19	thf(156,plain,((c @ sk10 @ france)),inference(pattern_uni,[status(thm)],[155:[bind(A, $thf(sk1)),bind(B, $thf(sk2))]])).
97.47/19.19	thf(3,axiom,((! [A:reg,B:reg]: ((c @ B @ A) <= (c @ A @ B)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',c_symmetric)).
97.47/19.19	thf(31,plain,((! [A:reg,B:reg]: ((c @ A @ B) => (c @ B @ A)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[3])).
97.47/19.19	thf(32,plain,(! [B:reg,A:reg] : ((~ (c @ A @ B)) | (c @ B @ A))),inference(cnf,[status(esa)],[31])).
97.47/19.19	thf(1410,plain,(! [B:reg,A:reg] : (~ (($true)) | (c @ B @ A) | ((c @ sk10 @ france) != (c @ A @ B)))),inference(paramod_ordered,[status(thm)],[156,32])).
97.47/19.19	thf(1411,plain,(! [B:reg,A:reg] : ((c @ B @ A) | ((c @ sk10 @ france) != (c @ A @ B)))),inference(simp,[status(thm)],[1410])).
97.47/19.19	thf(1412,plain,((c @ france @ sk10)),inference(pattern_uni,[status(thm)],[1411:[bind(A, $thf(sk10)),bind(B, $thf(france))]])).
97.47/19.19	thf(9,axiom,((mvalid @ (mforall_prop @ (^ [A:($i > $o)]: (mimplies @ (mbox @ fool @ A) @ (mbox @ fool @ (mbox @ fool @ A))))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',k_axiom_for_fool)).
97.47/19.19	thf(69,plain,((! [A:$i,B:($i > $o)]: (~ (! [C:$i]: (~ (fool @ A @ C) | (B @ C))) | ! [C:$i]: (~ (fool @ A @ C) | ! [D:$i]: (~ (fool @ C @ D) | (B @ D)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[9])).
97.47/19.19	thf(10,axiom,((mvalid @ (mbox @ a @ (^ [A:$i]: (tpp @ catalunya @ spain))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1)).
97.47/19.19	thf(75,plain,((! [A:$i,B:$i]: (~ (a @ A @ B) | (! [C:reg]: ((c @ C @ catalunya) => (c @ C @ spain)) & ~ (! [C:reg]: ((c @ C @ spain) => (c @ C @ catalunya))) & ? [C:reg]: ((c @ C @ catalunya) & ~ (? [D:reg]: (! [E:reg]: ((c @ E @ D) => (c @ E @ C)) & ! [E:reg]: ((c @ E @ D) => (c @ E @ catalunya)))) & (c @ C @ spain) & ~ (? [D:reg]: (! [E:reg]: ((c @ E @ D) => (c @ E @ C)) & ! [E:reg]: ((c @ E @ D) => (c @ E @ spain))))))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[10])).
97.47/19.19	thf(76,plain,((~ (? [A:$i,B:$i]: (a @ A @ B)) | (! [A:reg]: ((c @ A @ catalunya) => (c @ A @ spain)) & ~ (! [A:reg]: ((c @ A @ spain) => (c @ A @ catalunya))) & ? [A:reg]: ((c @ A @ catalunya) & ~ (? [B:reg]: (! [C:reg]: ((c @ C @ B) => (c @ C @ A)) & ! [C:reg]: ((c @ C @ B) => (c @ C @ catalunya)))) & (c @ A @ spain) & ~ (? [B:reg]: (! [C:reg]: ((c @ C @ B) => (c @ C @ A)) & ! [C:reg]: ((c @ C @ B) => (c @ C @ spain)))))))),inference(miniscope,[status(thm)],[75])).
97.47/19.19	thf(77,plain,(! [E:reg,D:reg,C:reg,B:$i,A:$i] : (((~ (a @ A @ B) | ~ (c @ C @ catalunya) | (c @ C @ spain)) & (~ (a @ A @ B) | (c @ sk17 @ spain)) & (~ (a @ A @ B) | ~ (c @ sk17 @ catalunya)) & (~ (a @ A @ B) | (c @ sk18 @ catalunya)) & (~ (a @ A @ B) | (c @ (sk19 @ D) @ D) | (c @ (sk20 @ D) @ D)) & (~ (a @ A @ B) | (c @ (sk19 @ D) @ D) | ~ (c @ (sk20 @ D) @ catalunya)) & (~ (a @ A @ B) | ~ (c @ (sk19 @ D) @ sk18) | (c @ (sk20 @ D) @ D)) & (~ (a @ A @ B) | ~ (c @ (sk19 @ D) @ sk18) | ~ (c @ (sk20 @ D) @ catalunya)) & (~ (a @ A @ B) | (c @ sk18 @ spain)) & (~ (a @ A @ B) | (c @ (sk21 @ E) @ E) | (c @ (sk22 @ E) @ E)) & (~ (a @ A @ B) | (c @ (sk21 @ E) @ E) | ~ (c @ (sk22 @ E) @ spain)) & (~ (a @ A @ B) | ~ (c @ (sk21 @ E) @ sk18) | (c @ (sk22 @ E) @ E)) & (~ (a @ A @ B) | ~ (c @ (sk21 @ E) @ sk18) | ~ (c @ (sk22 @ E) @ spain))))),inference(cnf,[status(esa)],[76])).
97.47/19.19	thf(84,plain,(! [B:$i,A:$i] : ((~ (a @ A @ B)) | (c @ sk18 @ catalunya))),inference(cnfConj,[status(thm)],[77])).
97.47/19.19	thf(687,plain,(! [B:$i,A:$i] : (~ (($true)) | (c @ sk18 @ catalunya) | ((a @ sk1 @ sk2) != (a @ A @ B)))),inference(paramod_ordered,[status(thm)],[19,84])).
97.47/19.19	thf(688,plain,(! [B:$i,A:$i] : ((c @ sk18 @ catalunya) | ((a @ sk1 @ sk2) != (a @ A @ B)))),inference(simp,[status(thm)],[687])).
97.47/19.19	thf(689,plain,((c @ sk18 @ catalunya)),inference(pattern_uni,[status(thm)],[688:[bind(A, $thf(sk1)),bind(B, $thf(sk2))]])).
97.47/19.19	thf(15,plain,(! [C:reg,B:reg,A:reg] : ((sk3 @ A) | (sk6 @ A) | (~ (c @ C @ A)) | (c @ C @ B))),inference(cnfConj,[status(thm)],[13])).
97.47/19.19	thf(30,plain,(! [C:reg,B:reg,A:reg] : ((sk3 @ A) | (sk6 @ A) | (~ (c @ C @ A)) | (c @ C @ B))),inference(simp,[status(thm)],[15])).
97.47/19.19	thf(1323,plain,(! [C:reg,B:reg,A:reg] : ((sk3 @ A) | (sk6 @ A) | ~ (($true)) | (c @ C @ B) | ((c @ sk18 @ catalunya) != (c @ C @ A)))),inference(paramod_ordered,[status(thm)],[689,30])).
97.47/19.19	thf(1324,plain,(! [C:reg,B:reg,A:reg] : ((sk3 @ A) | (sk6 @ A) | (c @ C @ B) | ((c @ sk18 @ catalunya) != (c @ C @ A)))),inference(simp,[status(thm)],[1323])).
97.47/19.19	thf(1325,plain,(! [A:reg] : ((sk3 @ catalunya) | (sk6 @ catalunya) | (c @ sk18 @ A))),inference(pattern_uni,[status(thm)],[1324:[bind(A, $thf(catalunya)),bind(B, $thf(B)),bind(C, $thf(sk18))]])).
97.47/19.19	thf(1388,plain,(! [A:reg] : ((sk3 @ catalunya) | (sk6 @ catalunya) | (c @ sk18 @ A))),inference(simp,[status(thm)],[1325])).
97.47/19.19	thf(88,plain,(! [B:$i,A:$i] : ((~ (a @ A @ B)) | (~ (c @ sk17 @ catalunya)))),inference(cnfConj,[status(thm)],[77])).
97.47/19.19	thf(173,plain,(! [B:$i,A:$i] : (~ (($true)) | (~ (c @ sk17 @ catalunya)) | ((a @ sk1 @ sk2) != (a @ A @ B)))),inference(paramod_ordered,[status(thm)],[19,88])).
97.47/19.19	thf(174,plain,(! [B:$i,A:$i] : ((~ (c @ sk17 @ catalunya)) | ((a @ sk1 @ sk2) != (a @ A @ B)))),inference(simp,[status(thm)],[173])).
97.47/19.19	thf(175,plain,((~ (c @ sk17 @ catalunya))),inference(pattern_uni,[status(thm)],[174:[bind(A, $thf(sk1)),bind(B, $thf(sk2))]])).
97.47/19.19	thf(1413,plain,(! [B:reg,A:reg] : ((~ (c @ A @ B)) | ~ (($true)) | ((c @ B @ A) != (c @ sk17 @ catalunya)))),inference(paramod_ordered,[status(thm)],[32,175])).
97.47/19.20	thf(1414,plain,(! [B:reg,A:reg] : ((~ (c @ A @ B)) | ((c @ B @ A) != (c @ sk17 @ catalunya)))),inference(simp,[status(thm)],[1413])).
97.47/19.20	thf(1415,plain,((~ (c @ catalunya @ sk17))),inference(pattern_uni,[status(thm)],[1414:[bind(A, $thf(catalunya)),bind(B, $thf(sk17))]])).
97.47/19.20	thf(3818,plain,(! [A:reg] : ((sk3 @ catalunya) | (sk6 @ catalunya) | ~ (($true)) | ((c @ sk18 @ A) != (c @ catalunya @ sk17)))),inference(paramod_ordered,[status(thm)],[1388,1415])).
97.47/19.20	thf(3819,plain,(! [A:reg] : ((sk3 @ catalunya) | (sk6 @ catalunya) | ((c @ sk18 @ A) != (c @ catalunya @ sk17)))),inference(simp,[status(thm)],[3818])).
97.47/19.20	thf(3864,plain,(! [A:reg] : ((sk3 @ catalunya) | (sk6 @ catalunya) | (sk18 != catalunya) | (A != sk17))),inference(simp,[status(thm)],[3819])).
97.47/19.20	thf(3883,plain,((sk3 @ catalunya) | (sk6 @ catalunya) | (sk18 != catalunya)),inference(simp,[status(thm)],[3864])).
97.47/19.20	thf(4,axiom,((! [A:reg]: (c @ A @ A))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',c_reflexive)).
97.47/19.20	thf(33,plain,((! [A:reg]: (c @ A @ A))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[4])).
97.47/19.20	thf(34,plain,(! [A:reg] : ((c @ A @ A))),inference(cnf,[status(esa)],[33])).
97.47/19.20	thf(85,plain,(! [C:reg,B:$i,A:$i] : ((~ (a @ A @ B)) | (~ (c @ C @ catalunya)) | (c @ C @ spain))),inference(cnfConj,[status(thm)],[77])).
97.47/19.20	thf(11080,plain,(! [C:reg,B:$i,A:$i] : (~ (($true)) | (~ (c @ C @ catalunya)) | (c @ C @ spain) | ((a @ sk1 @ sk2) != (a @ A @ B)))),inference(paramod_ordered,[status(thm)],[19,85])).
97.47/19.20	thf(11081,plain,(! [C:reg,B:$i,A:$i] : ((~ (c @ C @ catalunya)) | (c @ C @ spain) | ((a @ sk1 @ sk2) != (a @ A @ B)))),inference(simp,[status(thm)],[11080])).
97.47/19.20	thf(11082,plain,(! [A:reg] : ((~ (c @ A @ catalunya)) | (c @ A @ spain))),inference(pattern_uni,[status(thm)],[11081:[bind(A, $thf(sk1)),bind(B, $thf(sk2))]])).
97.47/19.20	thf(11203,plain,(! [A:reg] : ((~ (c @ A @ catalunya)) | (c @ A @ spain))),inference(simp,[status(thm)],[11082])).
97.47/19.20	thf(11734,plain,(! [B:reg,A:reg] : (~ (($true)) | (c @ B @ spain) | ((c @ A @ A) != (c @ B @ catalunya)))),inference(paramod_ordered,[status(thm)],[34,11203])).
97.47/19.20	thf(11735,plain,(! [B:reg,A:reg] : ((c @ B @ spain) | ((c @ A @ A) != (c @ B @ catalunya)))),inference(simp,[status(thm)],[11734])).
97.47/19.20	thf(11736,plain,((c @ catalunya @ spain)),inference(pattern_uni,[status(thm)],[11735:[bind(A, $thf(catalunya)),bind(B, $thf(catalunya))]])).
97.47/19.20	thf(12034,plain,(! [B:reg,A:reg] : (~ (($true)) | (c @ B @ A) | ((c @ catalunya @ spain) != (c @ A @ B)))),inference(paramod_ordered,[status(thm)],[11736,32])).
97.47/19.20	thf(12035,plain,(! [B:reg,A:reg] : ((c @ B @ A) | ((c @ catalunya @ spain) != (c @ A @ B)))),inference(simp,[status(thm)],[12034])).
97.47/19.20	thf(12036,plain,((c @ spain @ catalunya)),inference(pattern_uni,[status(thm)],[12035:[bind(A, $thf(catalunya)),bind(B, $thf(spain))]])).
97.47/19.20	thf(11777,plain,(! [A:reg] : ((~ (c @ A @ catalunya)) | ~ (($true)) | ((c @ A @ spain) != (c @ sk10 @ paris)))),inference(paramod_ordered,[status(thm)],[11203,103])).
97.47/19.20	thf(11778,plain,(! [A:reg] : ((~ (c @ A @ catalunya)) | ((c @ A @ spain) != (c @ sk10 @ paris)))),inference(simp,[status(thm)],[11777])).
97.47/19.20	thf(11858,plain,(! [A:reg] : ((~ (c @ A @ catalunya)) | (A != sk10) | (paris != spain))),inference(simp,[status(thm)],[11778])).
97.47/19.20	thf(11935,plain,((~ (c @ sk10 @ catalunya)) | (paris != spain)),inference(simp,[status(thm)],[11858])).
97.47/19.20	thf(12569,plain,(~ (($true)) | (paris != spain) | ((c @ sk10 @ catalunya) != (c @ spain @ catalunya))),inference(paramod_ordered,[status(thm)],[12036,11935])).
97.47/19.20	thf(12570,plain,((paris != spain) | ((c @ sk10 @ catalunya) != (c @ spain @ catalunya))),inference(simp,[status(thm)],[12569])).
97.47/19.20	thf(12659,plain,((paris != spain) | (sk10 != spain) | (catalunya != catalunya)),inference(simp,[status(thm)],[12570])).
97.47/19.20	thf(12710,plain,((paris != spain) | (sk10 != spain)),inference(simp,[status(thm)],[12659])).
97.47/19.20	thf(1469,plain,(! [B:reg,A:reg] : ((~ (c @ A @ B)) | ~ (($true)) | ((c @ B @ A) != (c @ sk10 @ paris)))),inference(paramod_ordered,[status(thm)],[32,103])).
97.47/19.20	thf(1470,plain,(! [B:reg,A:reg] : ((~ (c @ A @ B)) | ((c @ B @ A) != (c @ sk10 @ paris)))),inference(simp,[status(thm)],[1469])).
97.47/19.20	thf(1471,plain,((~ (c @ paris @ sk10))),inference(pattern_uni,[status(thm)],[1470:[bind(A, $thf(paris)),bind(B, $thf(sk10))]])).
97.47/19.20	thf(1574,plain,(! [A:reg] : ((sk3 @ A) | (sk6 @ A) | ~ (($true)) | ((c @ spain @ A) != (c @ paris @ sk10)))),inference(paramod_ordered,[status(thm)],[747,1471])).
97.47/19.20	thf(1575,plain,(! [A:reg] : ((sk3 @ A) | (sk6 @ A) | ((c @ spain @ A) != (c @ paris @ sk10)))),inference(simp,[status(thm)],[1574])).
97.47/19.20	thf(1624,plain,(! [A:reg] : ((sk3 @ A) | (sk6 @ A) | (paris != spain) | (A != sk10))),inference(simp,[status(thm)],[1575])).
97.47/19.20	thf(1633,plain,((sk3 @ sk10) | (sk6 @ sk10) | (paris != spain)),inference(simp,[status(thm)],[1624])).
97.47/19.20	thf(12052,plain,(~ (($true)) | ((c @ sk10 @ paris) != (c @ catalunya @ spain))),inference(paramod_ordered,[status(thm)],[11736,103])).
97.47/19.20	thf(12053,plain,(((c @ sk10 @ paris) != (c @ catalunya @ spain))),inference(simp,[status(thm)],[12052])).
97.47/19.20	thf(12116,plain,((sk10 != catalunya) | (paris != spain)),inference(simp,[status(thm)],[12053])).
97.47/19.20	thf(80,plain,(! [B:$i,A:$i] : ((~ (a @ A @ B)) | (c @ sk18 @ spain))),inference(cnfConj,[status(thm)],[77])).
97.47/19.20	thf(343,plain,(! [B:$i,A:$i] : (~ (($true)) | (c @ sk18 @ spain) | ((a @ sk1 @ sk2) != (a @ A @ B)))),inference(paramod_ordered,[status(thm)],[19,80])).
97.47/19.20	thf(344,plain,(! [B:$i,A:$i] : ((c @ sk18 @ spain) | ((a @ sk1 @ sk2) != (a @ A @ B)))),inference(simp,[status(thm)],[343])).
97.47/19.20	thf(345,plain,((c @ sk18 @ spain)),inference(pattern_uni,[status(thm)],[344:[bind(A, $thf(sk1)),bind(B, $thf(sk2))]])).
97.47/19.20	thf(45,plain,(! [C:reg,B:$i,A:$i] : ((~ (a @ A @ B)) | (~ (c @ C @ paris)) | (c @ C @ france))),inference(cnfConj,[status(thm)],[43])).
97.47/19.20	thf(2752,plain,(! [C:reg,B:$i,A:$i] : (~ (($true)) | (~ (c @ C @ paris)) | (c @ C @ france) | ((a @ sk1 @ sk2) != (a @ A @ B)))),inference(paramod_ordered,[status(thm)],[19,45])).
97.47/19.20	thf(2753,plain,(! [C:reg,B:$i,A:$i] : ((~ (c @ C @ paris)) | (c @ C @ france) | ((a @ sk1 @ sk2) != (a @ A @ B)))),inference(simp,[status(thm)],[2752])).
97.47/19.20	thf(2754,plain,(! [A:reg] : ((~ (c @ A @ paris)) | (c @ A @ france))),inference(pattern_uni,[status(thm)],[2753:[bind(A, $thf(sk1)),bind(B, $thf(sk2))]])).
97.47/19.20	thf(2779,plain,(! [A:reg] : ((~ (c @ A @ paris)) | (c @ A @ france))),inference(simp,[status(thm)],[2754])).
97.47/19.20	thf(5338,plain,(! [A:reg] : (~ (($true)) | (c @ A @ france) | ((c @ sk18 @ spain) != (c @ A @ paris)))),inference(paramod_ordered,[status(thm)],[345,2779])).
97.47/19.20	thf(5339,plain,(! [A:reg] : ((c @ A @ france) | ((c @ sk18 @ spain) != (c @ A @ paris)))),inference(simp,[status(thm)],[5338])).
97.47/19.20	thf(5372,plain,(! [A:reg] : ((c @ A @ france) | (sk18 != A) | (paris != spain))),inference(simp,[status(thm)],[5339])).
97.47/19.20	thf(5393,plain,((c @ sk18 @ france) | (paris != spain)),inference(simp,[status(thm)],[5372])).
97.47/19.20	thf(1442,plain,(! [B:reg,A:reg] : (~ (($true)) | (c @ B @ A) | ((c @ sk18 @ catalunya) != (c @ A @ B)))),inference(paramod_ordered,[status(thm)],[689,32])).
97.47/19.20	thf(1443,plain,(! [B:reg,A:reg] : ((c @ B @ A) | ((c @ sk18 @ catalunya) != (c @ A @ B)))),inference(simp,[status(thm)],[1442])).
97.47/19.20	thf(1444,plain,((c @ catalunya @ sk18)),inference(pattern_uni,[status(thm)],[1443:[bind(A, $thf(sk18)),bind(B, $thf(catalunya))]])).
97.47/19.20	thf(5348,plain,(! [A:reg] : (~ (($true)) | (c @ A @ france) | ((c @ catalunya @ sk18) != (c @ A @ paris)))),inference(paramod_ordered,[status(thm)],[1444,2779])).
97.47/19.20	thf(5349,plain,(! [A:reg] : ((c @ A @ france) | ((c @ catalunya @ sk18) != (c @ A @ paris)))),inference(simp,[status(thm)],[5348])).
97.47/19.20	thf(5362,plain,(! [A:reg] : ((c @ A @ france) | (catalunya != A) | (sk18 != paris))),inference(simp,[status(thm)],[5349])).
97.47/19.20	thf(5381,plain,((c @ catalunya @ france) | (sk18 != paris)),inference(simp,[status(thm)],[5362])).
97.47/19.20	thf(5847,plain,((sk18 != paris) | ~ (($true)) | ((c @ catalunya @ sk17) != (c @ catalunya @ france))),inference(paramod_ordered,[status(thm)],[5381,1415])).
97.47/19.20	thf(5848,plain,((sk18 != paris) | ((c @ catalunya @ sk17) != (c @ catalunya @ france))),inference(simp,[status(thm)],[5847])).
97.47/19.20	thf(5905,plain,((sk18 != paris) | (catalunya != catalunya) | (sk17 != france)),inference(simp,[status(thm)],[5848])).
97.47/19.20	thf(5935,plain,((sk18 != paris) | (sk17 != france)),inference(simp,[status(thm)],[5905])).
97.47/19.20	thf(14,plain,(! [B:reg,A:reg] : ((c @ (sk4 @ B @ A) @ B) | (c @ (sk5 @ B @ A) @ B) | (~ (sk3 @ A)))),inference(cnfConj,[status(thm)],[13])).
97.47/19.20	thf(20,plain,(! [B:reg,A:reg] : ((c @ (sk4 @ B @ A) @ B) | (~ (c @ (sk5 @ B @ A) @ france)) | (~ (sk3 @ A)))),inference(cnfConj,[status(thm)],[13])).
97.47/19.20	thf(313,plain,(! [D:reg,C:reg,B:reg,A:reg] : ((c @ (sk4 @ B @ A) @ B) | (~ (sk3 @ A)) | (c @ (sk4 @ D @ C) @ D) | ~ (($true)) | (~ (sk3 @ C)) | ((c @ (sk5 @ B @ A) @ B) != (c @ (sk5 @ D @ C) @ france)))),inference(paramod_ordered,[status(thm)],[14,20])).
97.47/19.20	thf(314,plain,(! [D:reg,C:reg,B:reg,A:reg] : ((c @ (sk4 @ B @ A) @ B) | (~ (sk3 @ A)) | (c @ (sk4 @ D @ C) @ D) | (~ (sk3 @ C)) | ((c @ (sk5 @ B @ A) @ B) != (c @ (sk5 @ D @ C) @ france)))),inference(simp,[status(thm)],[313])).
97.47/19.20	thf(315,plain,(! [A:reg] : ((c @ (sk4 @ france @ A) @ france) | (~ (sk3 @ A)) | (c @ (sk4 @ france @ A) @ france) | (~ (sk3 @ A)))),inference(pattern_uni,[status(thm)],[314:[bind(A, $thf(A)),bind(B, $thf(france)),bind(C, $thf(A)),bind(D, $thf(france))]])).
97.47/19.20	thf(337,plain,(! [A:reg] : ((c @ (sk4 @ france @ A) @ france) | (~ (sk3 @ A)))),inference(simp,[status(thm)],[315])).
97.47/19.20	thf(408,plain,(! [A:reg] : ((~ (sk3 @ A)) | ~ (($true)) | ((c @ (sk4 @ france @ A) @ france) != (c @ sk17 @ catalunya)))),inference(paramod_ordered,[status(thm)],[337,175])).
97.47/19.20	thf(409,plain,(! [A:reg] : ((~ (sk3 @ A)) | ((c @ (sk4 @ france @ A) @ france) != (c @ sk17 @ catalunya)))),inference(simp,[status(thm)],[408])).
97.47/19.20	thf(417,plain,(! [A:reg] : ((~ (sk3 @ A)) | ((sk4 @ france @ A) != sk17) | (france != catalunya))),inference(simp,[status(thm)],[409])).
97.47/19.20	thf(22,plain,(! [B:reg,A:reg] : ((~ (c @ (sk4 @ B @ A) @ A)) | (c @ (sk5 @ B @ A) @ B) | (~ (sk3 @ A)))),inference(cnfConj,[status(thm)],[13])).
97.47/19.20	thf(16,plain,(! [B:reg,A:reg] : ((~ (c @ (sk4 @ B @ A) @ A)) | (~ (c @ (sk5 @ B @ A) @ france)) | (~ (sk3 @ A)))),inference(cnfConj,[status(thm)],[13])).
97.47/19.20	thf(473,plain,(! [D:reg,C:reg,B:reg,A:reg] : ((~ (c @ (sk4 @ B @ A) @ A)) | (~ (sk3 @ A)) | (~ (c @ (sk4 @ D @ C) @ C)) | ~ (($true)) | (~ (sk3 @ C)) | ((c @ (sk5 @ B @ A) @ B) != (c @ (sk5 @ D @ C) @ france)))),inference(paramod_ordered,[status(thm)],[22,16])).
97.47/19.20	thf(474,plain,(! [D:reg,C:reg,B:reg,A:reg] : ((~ (c @ (sk4 @ B @ A) @ A)) | (~ (sk3 @ A)) | (~ (c @ (sk4 @ D @ C) @ C)) | (~ (sk3 @ C)) | ((c @ (sk5 @ B @ A) @ B) != (c @ (sk5 @ D @ C) @ france)))),inference(simp,[status(thm)],[473])).
97.47/19.20	thf(475,plain,(! [A:reg] : ((~ (c @ (sk4 @ france @ A) @ A)) | (~ (sk3 @ A)) | (~ (c @ (sk4 @ france @ A) @ A)) | (~ (sk3 @ A)))),inference(pattern_uni,[status(thm)],[474:[bind(A, $thf(A)),bind(B, $thf(france)),bind(C, $thf(A)),bind(D, $thf(france))]])).
97.47/19.20	thf(520,plain,(! [A:reg] : ((~ (c @ (sk4 @ france @ A) @ A)) | (~ (sk3 @ A)))),inference(simp,[status(thm)],[475])).
97.47/19.20	thf(998,plain,(! [A:reg] : (~ (($true)) | (~ (sk3 @ A)) | ((c @ (sk4 @ france @ A) @ A) != (c @ sk18 @ catalunya)))),inference(paramod_ordered,[status(thm)],[689,520])).
97.47/19.20	thf(999,plain,(! [A:reg] : ((~ (sk3 @ A)) | ((c @ (sk4 @ france @ A) @ A) != (c @ sk18 @ catalunya)))),inference(simp,[status(thm)],[998])).
97.47/19.20	thf(1018,plain,(! [A:reg] : ((~ (sk3 @ A)) | ((sk4 @ france @ A) != sk18) | (A != catalunya))),inference(simp,[status(thm)],[999])).
97.47/19.20	thf(1035,plain,((~ (sk3 @ catalunya)) | ((sk4 @ france @ catalunya) != sk18)),inference(simp,[status(thm)],[1018])).
97.47/19.20	thf(1044,plain,(! [B:($i > $o),A:$i] : ((fool @ A @ (sk15 @ (B) @ A)) | ~ (($true)) | ((sk4 @ france @ catalunya) != sk18) | ((B @ A) != (sk3 @ catalunya)))),inference(paramod_ordered,[status(thm)],[65,1035])).
97.47/19.20	thf(1045,plain,(! [B:($i > $o),A:$i] : ((fool @ A @ (sk15 @ (B) @ A)) | ((sk4 @ france @ catalunya) != sk18) | ((B @ A) != (sk3 @ catalunya)))),inference(simp,[status(thm)],[1044])).
97.47/19.20	thf(1046,plain,(! [A:$i] : ((fool @ A @ (sk15 @ (^ [B:$i]: (sk3 @ catalunya)) @ A)) | ((sk4 @ france @ catalunya) != sk18))),inference(pre_uni,[status(thm)],[1045:[bind(A, $thf(A)),bind(B, $thf(^ [C:$i]: (sk3 @ catalunya)))]])).
97.47/19.20	thf(24,plain,(! [B:reg,A:reg] : ((sk3 @ A) | (c @ (sk7 @ B @ A) @ B) | (~ (c @ (sk8 @ B @ A) @ france)) | (~ (sk6 @ A)))),inference(cnfConj,[status(thm)],[13])).
97.47/19.20	thf(25,plain,(! [B:reg,A:reg] : ((sk3 @ A) | (c @ (sk7 @ B @ A) @ B) | (~ (c @ (sk8 @ B @ A) @ france)) | (~ (sk6 @ A)))),inference(simp,[status(thm)],[24])).
97.47/19.20	thf(5,axiom,((mvalid @ (mforall_prop @ (^ [A:($i > $o)]: (mimplies @ (mbox @ fool @ A) @ (mbox @ a @ A)))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',i_axiom_for_fool_a)).
97.47/19.20	thf(35,plain,((! [A:$i,B:($i > $o)]: (~ (! [C:$i]: (~ (fool @ A @ C) | (B @ C))) | ! [C:$i]: (~ (a @ A @ C) | (B @ C))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[5])).
97.47/19.20	thf(36,plain,(! [C:$i,B:($i > $o),A:$i] : ((((fool @ A @ (sk9 @ (B) @ A)) | ~ (a @ A @ C) | (B @ C)) & (~ (B @ (sk9 @ (B) @ A)) | ~ (a @ A @ C) | (B @ C))))),inference(cnf,[status(esa)],[35])).
97.47/19.20	thf(37,plain,(! [C:$i,B:($i > $o),A:$i] : ((fool @ A @ (sk9 @ (B) @ A)) | (~ (a @ A @ C)) | (B @ C))),inference(cnfConj,[status(thm)],[36])).
97.47/19.20	thf(12232,plain,(! [A:reg] : (~ (($true)) | (~ (sk3 @ A)) | ((c @ (sk4 @ france @ A) @ A) != (c @ spain @ catalunya)))),inference(paramod_ordered,[status(thm)],[12036,520])).
97.47/19.20	thf(12233,plain,(! [A:reg] : ((~ (sk3 @ A)) | ((c @ (sk4 @ france @ A) @ A) != (c @ spain @ catalunya)))),inference(simp,[status(thm)],[12232])).
97.47/19.20	thf(12269,plain,(! [A:reg] : ((~ (sk3 @ A)) | ((sk4 @ france @ A) != spain) | (A != catalunya))),inference(simp,[status(thm)],[12233])).
97.47/19.20	thf(12324,plain,((~ (sk3 @ catalunya)) | ((sk4 @ france @ catalunya) != spain)),inference(simp,[status(thm)],[12269])).
97.47/19.20	thf(730,plain,(! [C:reg,B:reg,A:reg] : ((sk3 @ A) | (sk6 @ A) | ~ (($true)) | (c @ C @ A) | ((c @ sk10 @ france) != (c @ C @ B)))),inference(paramod_ordered,[status(thm)],[156,27])).
97.47/19.20	thf(731,plain,(! [C:reg,B:reg,A:reg] : ((sk3 @ A) | (sk6 @ A) | (c @ C @ A) | ((c @ sk10 @ france) != (c @ C @ B)))),inference(simp,[status(thm)],[730])).
97.47/19.20	thf(732,plain,(! [A:reg] : ((sk3 @ A) | (sk6 @ A) | (c @ sk10 @ A))),inference(pattern_uni,[status(thm)],[731:[bind(A, $thf(A)),bind(B, $thf(france)),bind(C, $thf(sk10))]])).
97.47/19.20	thf(836,plain,(! [A:reg] : ((sk3 @ A) | (sk6 @ A) | ~ (($true)) | ((c @ sk10 @ A) != (c @ sk10 @ paris)))),inference(paramod_ordered,[status(thm)],[732,103])).
97.47/19.20	thf(837,plain,(! [A:reg] : ((sk3 @ A) | (sk6 @ A) | ((c @ sk10 @ A) != (c @ sk10 @ paris)))),inference(simp,[status(thm)],[836])).
97.47/19.20	thf(838,plain,((sk3 @ paris) | (sk6 @ paris)),inference(pattern_uni,[status(thm)],[837:[bind(A, $thf(paris))]])).
97.47/19.20	thf(5323,plain,(! [B:reg,A:reg] : (~ (($true)) | (c @ B @ france) | ((c @ A @ A) != (c @ B @ paris)))),inference(paramod_ordered,[status(thm)],[34,2779])).
97.47/19.20	thf(5324,plain,(! [B:reg,A:reg] : ((c @ B @ france) | ((c @ A @ A) != (c @ B @ paris)))),inference(simp,[status(thm)],[5323])).
97.47/19.20	thf(5325,plain,((c @ paris @ france)),inference(pattern_uni,[status(thm)],[5324:[bind(A, $thf(paris)),bind(B, $thf(paris))]])).
97.47/19.20	thf(5438,plain,(! [B:reg,A:reg] : (~ (($true)) | (c @ B @ A) | ((c @ paris @ france) != (c @ A @ B)))),inference(paramod_ordered,[status(thm)],[5325,32])).
97.47/19.20	thf(5439,plain,(! [B:reg,A:reg] : ((c @ B @ A) | ((c @ paris @ france) != (c @ A @ B)))),inference(simp,[status(thm)],[5438])).
97.47/19.20	thf(5440,plain,((c @ france @ paris)),inference(pattern_uni,[status(thm)],[5439:[bind(A, $thf(paris)),bind(B, $thf(france))]])).
97.47/19.20	thf(5584,plain,(! [A:reg] : (~ (($true)) | (~ (sk3 @ A)) | ((c @ (sk4 @ france @ A) @ A) != (c @ france @ paris)))),inference(paramod_ordered,[status(thm)],[5440,520])).
97.47/19.20	thf(5585,plain,(! [A:reg] : ((~ (sk3 @ A)) | ((c @ (sk4 @ france @ A) @ A) != (c @ france @ paris)))),inference(simp,[status(thm)],[5584])).
97.47/19.20	thf(5608,plain,(! [A:reg] : ((~ (sk3 @ A)) | ((sk4 @ france @ A) != france) | (A != paris))),inference(simp,[status(thm)],[5585])).
97.47/19.20	thf(5640,plain,((~ (sk3 @ paris)) | ((sk4 @ france @ paris) != france)),inference(simp,[status(thm)],[5608])).
97.47/19.20	thf(6432,plain,(! [B:reg,A:reg] : ((paris != spain) | ~ (($true)) | (c @ B @ A) | ((c @ sk18 @ france) != (c @ A @ B)))),inference(paramod_ordered,[status(thm)],[5393,32])).
97.47/19.20	thf(6433,plain,(! [B:reg,A:reg] : ((paris != spain) | (c @ B @ A) | ((c @ sk18 @ france) != (c @ A @ B)))),inference(simp,[status(thm)],[6432])).
97.47/19.20	thf(6434,plain,((paris != spain) | (c @ france @ sk18)),inference(pattern_uni,[status(thm)],[6433:[bind(A, $thf(sk18)),bind(B, $thf(france))]])).
97.47/19.20	thf(11773,plain,(! [A:reg] : ((~ (c @ A @ catalunya)) | ~ (($true)) | ((c @ A @ spain) != (c @ paris @ sk10)))),inference(paramod_ordered,[status(thm)],[11203,1471])).
97.47/19.20	thf(11774,plain,(! [A:reg] : ((~ (c @ A @ catalunya)) | ((c @ A @ spain) != (c @ paris @ sk10)))),inference(simp,[status(thm)],[11773])).
97.47/19.20	thf(11874,plain,(! [A:reg] : ((~ (c @ A @ catalunya)) | (A != paris) | (sk10 != spain))),inference(simp,[status(thm)],[11774])).
97.47/19.20	thf(11954,plain,((~ (c @ paris @ catalunya)) | (sk10 != spain)),inference(simp,[status(thm)],[11874])).
97.47/19.20	thf(13179,plain,(~ (($true)) | (sk10 != spain) | ((c @ paris @ france) != (c @ paris @ catalunya))),inference(paramod_ordered,[status(thm)],[5325,11954])).
97.47/19.20	thf(13180,plain,((sk10 != spain) | ((c @ paris @ france) != (c @ paris @ catalunya))),inference(simp,[status(thm)],[13179])).
97.47/19.20	thf(13235,plain,((sk10 != spain) | (paris != paris) | (france != catalunya)),inference(simp,[status(thm)],[13180])).
97.47/19.20	thf(13273,plain,((sk10 != spain) | (france != catalunya)),inference(simp,[status(thm)],[13235])).
97.47/19.20	thf(86,plain,(! [B:$i,A:$i] : ((~ (a @ A @ B)) | (c @ sk17 @ spain))),inference(cnfConj,[status(thm)],[77])).
97.47/19.20	thf(787,plain,(! [B:$i,A:$i] : (~ (($true)) | (c @ sk17 @ spain) | ((a @ sk1 @ sk2) != (a @ A @ B)))),inference(paramod_ordered,[status(thm)],[19,86])).
97.47/19.20	thf(788,plain,(! [B:$i,A:$i] : ((c @ sk17 @ spain) | ((a @ sk1 @ sk2) != (a @ A @ B)))),inference(simp,[status(thm)],[787])).
97.47/19.20	thf(789,plain,((c @ sk17 @ spain)),inference(pattern_uni,[status(thm)],[788:[bind(A, $thf(sk1)),bind(B, $thf(sk2))]])).
97.47/19.20	thf(5306,plain,(! [A:reg] : (~ (($true)) | (c @ A @ france) | ((c @ sk17 @ spain) != (c @ A @ paris)))),inference(paramod_ordered,[status(thm)],[789,2779])).
97.47/19.20	thf(5307,plain,(! [A:reg] : ((c @ A @ france) | ((c @ sk17 @ spain) != (c @ A @ paris)))),inference(simp,[status(thm)],[5306])).
97.47/19.20	thf(5373,plain,(! [A:reg] : ((c @ A @ france) | (sk17 != A) | (paris != spain))),inference(simp,[status(thm)],[5307])).
97.47/19.20	thf(5394,plain,((c @ sk17 @ france) | (paris != spain)),inference(simp,[status(thm)],[5373])).
97.47/19.20	thf(6590,plain,((paris != spain) | ~ (($true)) | ((c @ sk17 @ france) != (c @ sk17 @ catalunya))),inference(paramod_ordered,[status(thm)],[5394,175])).
97.47/19.20	thf(6591,plain,((paris != spain) | ((c @ sk17 @ france) != (c @ sk17 @ catalunya))),inference(simp,[status(thm)],[6590])).
97.47/19.20	thf(6611,plain,((paris != spain) | (sk17 != sk17) | (france != catalunya)),inference(simp,[status(thm)],[6591])).
97.47/19.20	thf(6643,plain,((paris != spain) | (france != catalunya)),inference(simp,[status(thm)],[6611])).
97.47/19.20	thf(49,plain,(! [E:reg,D:reg,C:reg,B:$i,A:$i] : ((~ (a @ A @ B)) | (~ (c @ C @ paris)) | (~ (c @ D @ (sk11 @ C))) | (c @ D @ paris) | (~ (c @ C @ france)) | (~ (c @ E @ (sk12 @ C))) | (c @ E @ C))),inference(cnfConj,[status(thm)],[43])).
97.47/19.20	thf(52,plain,(! [E:reg,D:reg,C:reg,B:$i,A:$i] : ((~ (a @ A @ B)) | (~ (c @ C @ paris)) | (~ (c @ D @ (sk11 @ C))) | (c @ D @ paris) | (~ (c @ C @ france)) | (~ (c @ E @ (sk12 @ C))) | (c @ E @ C))),inference(simp,[status(thm)],[49])).
97.47/19.20	thf(1407,plain,(! [B:reg,A:reg] : (~ (($true)) | (c @ B @ A) | ((c @ sk17 @ spain) != (c @ A @ B)))),inference(paramod_ordered,[status(thm)],[789,32])).
97.47/19.20	thf(1408,plain,(! [B:reg,A:reg] : ((c @ B @ A) | ((c @ sk17 @ spain) != (c @ A @ B)))),inference(simp,[status(thm)],[1407])).
97.47/19.20	thf(1409,plain,((c @ spain @ sk17)),inference(pattern_uni,[status(thm)],[1408:[bind(A, $thf(sk17)),bind(B, $thf(spain))]])).
97.47/19.20	thf(11701,plain,(! [A:reg] : (~ (($true)) | (c @ A @ spain) | ((c @ sk10 @ france) != (c @ A @ catalunya)))),inference(paramod_ordered,[status(thm)],[156,11203])).
97.47/19.20	thf(11702,plain,(! [A:reg] : ((c @ A @ spain) | ((c @ sk10 @ france) != (c @ A @ catalunya)))),inference(simp,[status(thm)],[11701])).
97.47/19.20	thf(11870,plain,(! [A:reg] : ((c @ A @ spain) | (sk10 != A) | (france != catalunya))),inference(simp,[status(thm)],[11702])).
97.47/19.20	thf(11949,plain,((c @ sk10 @ spain) | (france != catalunya)),inference(simp,[status(thm)],[11870])).
97.47/19.20	thf(800,plain,(~ (($true)) | ((c @ sk17 @ spain) != (c @ sk17 @ catalunya))),inference(paramod_ordered,[status(thm)],[789,175])).
97.47/19.20	thf(801,plain,(((c @ sk17 @ spain) != (c @ sk17 @ catalunya))),inference(simp,[status(thm)],[800])).
97.47/19.20	thf(814,plain,((sk17 != sk17) | (spain != catalunya)),inference(simp,[status(thm)],[801])).
97.47/19.20	thf(817,plain,((spain != catalunya)),inference(simp,[status(thm)],[814])).
97.47/19.20	thf(5864,plain,(! [B:reg,A:reg] : ((sk18 != paris) | ~ (($true)) | (c @ B @ A) | ((c @ catalunya @ france) != (c @ A @ B)))),inference(paramod_ordered,[status(thm)],[5381,32])).
97.47/19.20	thf(5865,plain,(! [B:reg,A:reg] : ((sk18 != paris) | (c @ B @ A) | ((c @ catalunya @ france) != (c @ A @ B)))),inference(simp,[status(thm)],[5864])).
97.47/19.20	thf(5866,plain,((sk18 != paris) | (c @ france @ catalunya)),inference(pattern_uni,[status(thm)],[5865:[bind(A, $thf(catalunya)),bind(B, $thf(france))]])).
97.47/19.20	thf(12054,plain,(! [A:reg] : (~ (($true)) | (~ (sk3 @ A)) | ((c @ (sk4 @ france @ A) @ A) != (c @ catalunya @ spain)))),inference(paramod_ordered,[status(thm)],[11736,520])).
97.47/19.20	thf(12055,plain,(! [A:reg] : ((~ (sk3 @ A)) | ((c @ (sk4 @ france @ A) @ A) != (c @ catalunya @ spain)))),inference(simp,[status(thm)],[12054])).
97.47/19.20	thf(12093,plain,(! [A:reg] : ((~ (sk3 @ A)) | ((sk4 @ france @ A) != catalunya) | (A != spain))),inference(simp,[status(thm)],[12055])).
97.47/19.20	thf(12137,plain,((~ (sk3 @ spain)) | ((sk4 @ france @ spain) != catalunya)),inference(simp,[status(thm)],[12093])).
97.47/19.20	thf(81,plain,(! [C:reg,B:$i,A:$i] : ((~ (a @ A @ B)) | (~ (c @ (sk21 @ C) @ sk18)) | (~ (c @ (sk22 @ C) @ spain)))),inference(cnfConj,[status(thm)],[77])).
97.47/19.20	thf(93,plain,(! [C:reg,B:$i,A:$i] : ((~ (a @ A @ B)) | (~ (c @ (sk21 @ C) @ sk18)) | (~ (c @ (sk22 @ C) @ spain)))),inference(simp,[status(thm)],[81])).
97.47/19.20	thf(23,plain,(! [B:reg,A:reg] : ((sk3 @ A) | (~ (c @ (sk7 @ B @ A) @ A)) | (c @ (sk8 @ B @ A) @ B) | (~ (sk6 @ A)))),inference(cnfConj,[status(thm)],[13])).
97.47/19.20	thf(29,plain,(! [B:reg,A:reg] : ((sk3 @ A) | (~ (c @ (sk7 @ B @ A) @ A)) | (c @ (sk8 @ B @ A) @ B) | (~ (sk6 @ A)))),inference(simp,[status(thm)],[23])).
97.47/19.20	thf(12591,plain,(! [B:reg,A:reg] : ((~ (c @ A @ B)) | ~ (($true)) | (paris != spain) | ((c @ B @ A) != (c @ sk10 @ catalunya)))),inference(paramod_ordered,[status(thm)],[32,11935])).
97.47/19.20	thf(12592,plain,(! [B:reg,A:reg] : ((~ (c @ A @ B)) | (paris != spain) | ((c @ B @ A) != (c @ sk10 @ catalunya)))),inference(simp,[status(thm)],[12591])).
97.47/19.20	thf(12593,plain,((~ (c @ catalunya @ sk10)) | (paris != spain)),inference(pattern_uni,[status(thm)],[12592:[bind(A, $thf(catalunya)),bind(B, $thf(sk10))]])).
97.47/19.20	thf(61,plain,(! [C:reg,B:$i,A:$i] : ((~ (fool @ A @ B)) | (c @ (sk13 @ C) @ C) | (~ (c @ (sk14 @ C) @ france)))),inference(cnfConj,[status(thm)],[57])).
97.47/19.20	thf(1431,plain,(! [B:reg,A:reg] : (~ (($true)) | (c @ B @ A) | ((c @ spain @ france) != (c @ A @ B)))),inference(paramod_ordered,[status(thm)],[248,32])).
97.47/19.20	thf(1432,plain,(! [B:reg,A:reg] : ((c @ B @ A) | ((c @ spain @ france) != (c @ A @ B)))),inference(simp,[status(thm)],[1431])).
97.47/19.20	thf(1433,plain,((c @ france @ spain)),inference(pattern_uni,[status(thm)],[1432:[bind(A, $thf(spain)),bind(B, $thf(france))]])).
97.47/19.20	thf(1772,plain,(! [A:reg] : (~ (($true)) | (~ (sk3 @ A)) | ((c @ (sk4 @ france @ A) @ A) != (c @ france @ spain)))),inference(paramod_ordered,[status(thm)],[1433,520])).
97.47/19.20	thf(1773,plain,(! [A:reg] : ((~ (sk3 @ A)) | ((c @ (sk4 @ france @ A) @ A) != (c @ france @ spain)))),inference(simp,[status(thm)],[1772])).
97.47/19.20	thf(1781,plain,(! [A:reg] : ((~ (sk3 @ A)) | ((sk4 @ france @ A) != france) | (A != spain))),inference(simp,[status(thm)],[1773])).
97.47/19.20	thf(1796,plain,((~ (sk3 @ spain)) | ((sk4 @ france @ spain) != france)),inference(simp,[status(thm)],[1781])).
97.47/19.20	thf(827,plain,(! [A:reg] : ((sk3 @ A) | (sk6 @ A) | ~ (($true)) | ((c @ sk10 @ A) != (c @ sk17 @ catalunya)))),inference(paramod_ordered,[status(thm)],[732,175])).
97.47/19.20	thf(828,plain,(! [A:reg] : ((sk3 @ A) | (sk6 @ A) | ((c @ sk10 @ A) != (c @ sk17 @ catalunya)))),inference(simp,[status(thm)],[827])).
97.47/19.20	thf(843,plain,(! [A:reg] : ((sk3 @ A) | (sk6 @ A) | (sk17 != sk10) | (A != catalunya))),inference(simp,[status(thm)],[828])).
97.47/19.20	thf(849,plain,((sk3 @ catalunya) | (sk6 @ catalunya) | (sk17 != sk10)),inference(simp,[status(thm)],[843])).
97.47/19.20	thf(70,plain,(! [D:$i,C:$i,B:($i > $o),A:$i] : ((((fool @ A @ (sk16 @ (B) @ A)) | ~ (fool @ A @ C) | ~ (fool @ C @ D) | (B @ D)) & (~ (B @ (sk16 @ (B) @ A)) | ~ (fool @ A @ C) | ~ (fool @ C @ D) | (B @ D))))),inference(cnf,[status(esa)],[69])).
97.47/19.20	thf(72,plain,(! [D:$i,C:$i,B:($i > $o),A:$i] : ((~ (B @ (sk16 @ (B) @ A))) | (~ (fool @ A @ C)) | (~ (fool @ C @ D)) | (B @ D))),inference(cnfConj,[status(thm)],[70])).
97.47/19.20	thf(73,plain,(! [D:$i,C:$i,B:($i > $o),A:$i] : ((~ ((sk16 @ (B) @ A) = (sk16 @ ((=) @ $i @ (sk16 @ B @ A)) @ A))) | (~ (fool @ A @ C)) | (~ (fool @ C @ D)) | ((sk16 @ (B) @ A) = D))),inference(replace_leibeq,[status(thm)],[72:[bind(A, $thf(A)),bind(B, $thf((=) @ $i @ (sk16 @ B @ A)))]])).
97.47/19.20	thf(74,plain,(! [D:$i,C:$i,B:($i > $o),A:$i] : (((sk16 @ (B) @ A) != (sk16 @ ((=) @ $i @ (sk16 @ B @ A)) @ A)) | ((sk16 @ (B) @ A) = D) | (~ (fool @ A @ C)) | (~ (fool @ C @ D)))),inference(lifteq,[status(thm)],[73])).
97.47/19.20	thf(12050,plain,(~ (($true)) | ((c @ paris @ sk10) != (c @ catalunya @ spain))),inference(paramod_ordered,[status(thm)],[11736,1471])).
97.47/19.20	thf(12051,plain,(((c @ paris @ sk10) != (c @ catalunya @ spain))),inference(simp,[status(thm)],[12050])).
97.47/19.20	thf(12101,plain,((paris != catalunya) | (sk10 != spain)),inference(simp,[status(thm)],[12051])).
97.47/19.20	thf(60,plain,(! [C:reg,B:$i,A:$i] : ((~ (fool @ A @ B)) | (~ (c @ (sk13 @ C) @ spain)) | (~ (c @ (sk14 @ C) @ france)))),inference(cnfConj,[status(thm)],[57])).
97.47/19.20	thf(702,plain,(~ (($true)) | ((c @ sk18 @ catalunya) != (c @ sk17 @ catalunya))),inference(paramod_ordered,[status(thm)],[689,175])).
97.47/19.20	thf(703,plain,(((c @ sk18 @ catalunya) != (c @ sk17 @ catalunya))),inference(simp,[status(thm)],[702])).
97.47/19.20	thf(711,plain,((sk18 != sk17) | (catalunya != catalunya)),inference(simp,[status(thm)],[703])).
97.47/19.20	thf(714,plain,((sk18 != sk17)),inference(simp,[status(thm)],[711])).
97.47/19.20	thf(5332,plain,(! [B:reg,A:reg] : ((sk3 @ catalunya) | (sk6 @ catalunya) | ~ (($true)) | (c @ B @ france) | ((c @ sk18 @ A) != (c @ B @ paris)))),inference(paramod_ordered,[status(thm)],[1388,2779])).
97.47/19.20	thf(5333,plain,(! [B:reg,A:reg] : ((sk3 @ catalunya) | (sk6 @ catalunya) | (c @ B @ france) | ((c @ sk18 @ A) != (c @ B @ paris)))),inference(simp,[status(thm)],[5332])).
97.47/19.20	thf(5334,plain,((sk3 @ catalunya) | (sk6 @ catalunya) | (c @ sk18 @ france)),inference(pattern_uni,[status(thm)],[5333:[bind(A, $thf(paris)),bind(B, $thf(sk18))]])).
97.47/19.20	thf(1007,plain,(! [A:reg] : (~ (($true)) | (~ (sk3 @ A)) | ((c @ (sk4 @ france @ A) @ A) != (c @ sk18 @ spain)))),inference(paramod_ordered,[status(thm)],[345,520])).
97.47/19.20	thf(1008,plain,(! [A:reg] : ((~ (sk3 @ A)) | ((c @ (sk4 @ france @ A) @ A) != (c @ sk18 @ spain)))),inference(simp,[status(thm)],[1007])).
97.47/19.20	thf(1025,plain,(! [A:reg] : ((~ (sk3 @ A)) | ((sk4 @ france @ A) != sk18) | (A != spain))),inference(simp,[status(thm)],[1008])).
97.47/19.20	thf(1028,plain,((~ (sk3 @ spain)) | ((sk4 @ france @ spain) != sk18)),inference(simp,[status(thm)],[1025])).
97.47/19.20	thf(1040,plain,(! [B:($i > $o),A:$i] : ((fool @ A @ (sk15 @ (B) @ A)) | ~ (($true)) | ((sk4 @ france @ spain) != sk18) | ((B @ A) != (sk3 @ spain)))),inference(paramod_ordered,[status(thm)],[65,1028])).
97.47/19.20	thf(1041,plain,(! [B:($i > $o),A:$i] : ((fool @ A @ (sk15 @ (B) @ A)) | ((sk4 @ france @ spain) != sk18) | ((B @ A) != (sk3 @ spain)))),inference(simp,[status(thm)],[1040])).
97.47/19.20	thf(1042,plain,(! [A:$i] : ((fool @ A @ (sk15 @ (^ [B:$i]: (sk3 @ spain)) @ A)) | ((sk4 @ france @ spain) != sk18))),inference(pre_uni,[status(thm)],[1041:[bind(A, $thf(A)),bind(B, $thf(^ [C:$i]: (sk3 @ spain)))]])).
97.47/19.20	thf(11769,plain,(! [A:reg] : (~ (($true)) | (c @ A @ spain) | ((c @ paris @ france) != (c @ A @ catalunya)))),inference(paramod_ordered,[status(thm)],[5325,11203])).
97.47/19.20	thf(11770,plain,(! [A:reg] : ((c @ A @ spain) | ((c @ paris @ france) != (c @ A @ catalunya)))),inference(simp,[status(thm)],[11769])).
97.47/19.20	thf(11888,plain,(! [A:reg] : ((c @ A @ spain) | (paris != A) | (france != catalunya))),inference(simp,[status(thm)],[11770])).
97.47/19.20	thf(11969,plain,((c @ paris @ spain) | (france != catalunya)),inference(simp,[status(thm)],[11888])).
97.47/19.20	thf(13947,plain,(! [B:reg,A:reg] : ((france != catalunya) | ~ (($true)) | (c @ B @ A) | ((c @ paris @ spain) != (c @ A @ B)))),inference(paramod_ordered,[status(thm)],[11969,32])).
97.47/19.20	thf(13948,plain,(! [B:reg,A:reg] : ((france != catalunya) | (c @ B @ A) | ((c @ paris @ spain) != (c @ A @ B)))),inference(simp,[status(thm)],[13947])).
97.47/19.20	thf(13949,plain,((france != catalunya) | (c @ spain @ paris)),inference(pattern_uni,[status(thm)],[13948:[bind(A, $thf(paris)),bind(B, $thf(spain))]])).
97.47/19.20	thf(1588,plain,(~ (($true)) | ((c @ sk18 @ catalunya) != (c @ paris @ sk10))),inference(paramod_ordered,[status(thm)],[689,1471])).
97.47/19.20	thf(1589,plain,(((c @ sk18 @ catalunya) != (c @ paris @ sk10))),inference(simp,[status(thm)],[1588])).
97.47/19.20	thf(1619,plain,((sk18 != paris) | (sk10 != catalunya)),inference(simp,[status(thm)],[1589])).
97.47/19.20	thf(18,plain,(! [B:reg,A:reg] : ((sk3 @ A) | (~ (c @ (sk7 @ B @ A) @ A)) | (~ (c @ (sk8 @ B @ A) @ france)) | (~ (sk6 @ A)))),inference(cnfConj,[status(thm)],[13])).
97.47/19.20	thf(28,plain,(! [B:reg,A:reg] : ((sk3 @ A) | (~ (c @ (sk7 @ B @ A) @ A)) | (~ (c @ (sk8 @ B @ A) @ france)) | (~ (sk6 @ A)))),inference(simp,[status(thm)],[18])).
97.47/19.20	thf(38,plain,(! [C:$i,B:($i > $o),A:$i] : ((~ (B @ (sk9 @ (B) @ A))) | (~ (a @ A @ C)) | (B @ C))),inference(cnfConj,[status(thm)],[36])).
97.47/19.20	thf(89,plain,(! [C:reg,B:$i,A:$i] : ((~ (a @ A @ B)) | (c @ (sk21 @ C) @ C) | (~ (c @ (sk22 @ C) @ spain)))),inference(cnfConj,[status(thm)],[77])).
97.47/19.20	thf(92,plain,(! [C:reg,B:$i,A:$i] : ((~ (a @ A @ B)) | (c @ (sk21 @ C) @ C) | (~ (c @ (sk22 @ C) @ spain)))),inference(simp,[status(thm)],[89])).
97.47/19.20	thf(90,plain,(! [C:reg,B:$i,A:$i] : ((~ (a @ A @ B)) | (c @ (sk19 @ C) @ C) | (~ (c @ (sk20 @ C) @ catalunya)))),inference(cnfConj,[status(thm)],[77])).
97.47/19.20	thf(97,plain,(! [C:reg,B:$i,A:$i] : ((~ (a @ A @ B)) | (c @ (sk19 @ C) @ C) | (~ (c @ (sk20 @ C) @ catalunya)))),inference(simp,[status(thm)],[90])).
97.47/19.20	thf(1662,plain,(! [A:reg] : (~ (($true)) | (~ (sk3 @ A)) | ((c @ (sk4 @ france @ A) @ A) != (c @ spain @ sk17)))),inference(paramod_ordered,[status(thm)],[1409,520])).
97.47/19.20	thf(1663,plain,(! [A:reg] : ((~ (sk3 @ A)) | ((c @ (sk4 @ france @ A) @ A) != (c @ spain @ sk17)))),inference(simp,[status(thm)],[1662])).
97.47/19.20	thf(1675,plain,(! [A:reg] : ((~ (sk3 @ A)) | ((sk4 @ france @ A) != spain) | (A != sk17))),inference(simp,[status(thm)],[1663])).
97.47/19.20	thf(1687,plain,((~ (sk3 @ sk17)) | ((sk4 @ france @ sk17) != spain)),inference(simp,[status(thm)],[1675])).
97.47/19.20	thf(5320,plain,(! [C:reg,B:reg,A:reg] : ((~ (c @ A @ B)) | ~ (($true)) | (c @ C @ france) | ((c @ B @ A) != (c @ C @ paris)))),inference(paramod_ordered,[status(thm)],[32,2779])).
97.47/19.20	thf(5321,plain,(! [C:reg,B:reg,A:reg] : ((~ (c @ A @ B)) | (c @ C @ france) | ((c @ B @ A) != (c @ C @ paris)))),inference(simp,[status(thm)],[5320])).
97.47/19.20	thf(5322,plain,(! [A:reg] : ((~ (c @ paris @ A)) | (c @ A @ france))),inference(pattern_uni,[status(thm)],[5321:[bind(A, $thf(paris)),bind(B, $thf(B)),bind(C, $thf(B))]])).
97.47/19.20	thf(5374,plain,(! [A:reg] : ((~ (c @ paris @ A)) | (c @ A @ france))),inference(simp,[status(thm)],[5322])).
97.47/19.20	thf(7851,plain,(! [C:reg,B:reg,A:reg] : ((~ (c @ paris @ A)) | ~ (($true)) | (c @ C @ B) | ((c @ A @ france) != (c @ B @ C)))),inference(paramod_ordered,[status(thm)],[5374,32])).
97.47/19.20	thf(7852,plain,(! [C:reg,B:reg,A:reg] : ((~ (c @ paris @ A)) | (c @ C @ B) | ((c @ A @ france) != (c @ B @ C)))),inference(simp,[status(thm)],[7851])).
97.47/19.20	thf(7853,plain,(! [A:reg] : ((~ (c @ paris @ A)) | (c @ france @ A))),inference(pattern_uni,[status(thm)],[7852:[bind(A, $thf(A)),bind(B, $thf(A)),bind(C, $thf(france))]])).
97.47/19.20	thf(704,plain,(~ (($true)) | ((c @ sk18 @ catalunya) != (c @ sk10 @ paris))),inference(paramod_ordered,[status(thm)],[689,103])).
97.47/19.20	thf(705,plain,(((c @ sk18 @ catalunya) != (c @ sk10 @ paris))),inference(simp,[status(thm)],[704])).
97.47/19.20	thf(710,plain,((sk18 != sk10) | (paris != catalunya)),inference(simp,[status(thm)],[705])).
97.47/19.20	thf(7804,plain,(! [A:reg] : ((~ (c @ paris @ A)) | ~ (($true)) | ((c @ A @ france) != (c @ catalunya @ sk17)))),inference(paramod_ordered,[status(thm)],[5374,1415])).
97.47/19.20	thf(7805,plain,(! [A:reg] : ((~ (c @ paris @ A)) | ((c @ A @ france) != (c @ catalunya @ sk17)))),inference(simp,[status(thm)],[7804])).
97.47/19.20	thf(7986,plain,(! [A:reg] : ((~ (c @ paris @ A)) | (A != catalunya) | (sk17 != france))),inference(simp,[status(thm)],[7805])).
97.47/19.20	thf(8048,plain,((~ (c @ paris @ catalunya)) | (sk17 != france)),inference(simp,[status(thm)],[7986])).
97.47/19.20	thf(7912,plain,(! [A:reg] : ((~ (c @ paris @ A)) | ~ (($true)) | ((c @ A @ france) != (c @ sk17 @ catalunya)))),inference(paramod_ordered,[status(thm)],[5374,175])).
97.47/19.20	thf(7913,plain,(! [A:reg] : ((~ (c @ paris @ A)) | ((c @ A @ france) != (c @ sk17 @ catalunya)))),inference(simp,[status(thm)],[7912])).
97.47/19.20	thf(7979,plain,(! [A:reg] : ((~ (c @ paris @ A)) | (A != sk17) | (france != catalunya))),inference(simp,[status(thm)],[7913])).
97.47/19.20	thf(8041,plain,((~ (c @ paris @ sk17)) | (france != catalunya)),inference(simp,[status(thm)],[7979])).
97.47/19.20	thf(48,plain,(! [E:reg,D:reg,C:reg,B:$i,A:$i] : ((~ (a @ A @ B)) | (~ (c @ C @ paris)) | (~ (c @ D @ (sk11 @ C))) | (c @ D @ paris) | (~ (c @ C @ france)) | (~ (c @ E @ (sk12 @ C))) | (c @ E @ france))),inference(cnfConj,[status(thm)],[43])).
97.47/19.20	thf(53,plain,(! [E:reg,D:reg,C:reg,B:$i,A:$i] : ((~ (a @ A @ B)) | (~ (c @ C @ paris)) | (~ (c @ D @ (sk11 @ C))) | (c @ D @ paris) | (~ (c @ C @ france)) | (~ (c @ E @ (sk12 @ C))) | (c @ E @ france))),inference(simp,[status(thm)],[48])).
97.47/19.20	thf(1466,plain,(! [B:reg,A:reg] : (~ (($true)) | (c @ B @ A) | ((c @ sk18 @ spain) != (c @ A @ B)))),inference(paramod_ordered,[status(thm)],[345,32])).
97.47/19.20	thf(1467,plain,(! [B:reg,A:reg] : ((c @ B @ A) | ((c @ sk18 @ spain) != (c @ A @ B)))),inference(simp,[status(thm)],[1466])).
97.47/19.20	thf(1468,plain,((c @ spain @ sk18)),inference(pattern_uni,[status(thm)],[1467:[bind(A, $thf(sk18)),bind(B, $thf(spain))]])).
97.47/19.20	thf(2061,plain,(! [A:reg] : (~ (($true)) | (~ (sk3 @ A)) | ((c @ (sk4 @ france @ A) @ A) != (c @ spain @ sk18)))),inference(paramod_ordered,[status(thm)],[1468,520])).
97.47/19.20	thf(2062,plain,(! [A:reg] : ((~ (sk3 @ A)) | ((c @ (sk4 @ france @ A) @ A) != (c @ spain @ sk18)))),inference(simp,[status(thm)],[2061])).
97.47/19.20	thf(2070,plain,(! [A:reg] : ((~ (sk3 @ A)) | ((sk4 @ france @ A) != spain) | (A != sk18))),inference(simp,[status(thm)],[2062])).
97.47/19.20	thf(2085,plain,((~ (sk3 @ sk18)) | ((sk4 @ france @ sk18) != spain)),inference(simp,[status(thm)],[2070])).
97.47/19.20	thf(79,plain,(! [C:reg,B:$i,A:$i] : ((~ (a @ A @ B)) | (~ (c @ (sk21 @ C) @ sk18)) | (c @ (sk22 @ C) @ C))),inference(cnfConj,[status(thm)],[77])).
97.47/19.20	thf(96,plain,(! [C:reg,B:$i,A:$i] : ((~ (a @ A @ B)) | (~ (c @ (sk21 @ C) @ sk18)) | (c @ (sk22 @ C) @ C))),inference(simp,[status(thm)],[79])).
97.47/19.20	thf(106,plain,(! [A:reg] : (~ (($true)) | ((c @ A @ A) != (c @ sk10 @ paris)))),inference(paramod_ordered,[status(thm)],[34,103])).
97.47/19.20	thf(107,plain,(! [A:reg] : (((c @ A @ A) != (c @ sk10 @ paris)))),inference(simp,[status(thm)],[106])).
97.47/19.20	thf(108,plain,(! [A:reg] : ((A != sk10) | (A != paris))),inference(simp,[status(thm)],[107])).
97.47/19.20	thf(109,plain,((sk10 != paris)),inference(simp,[status(thm)],[108])).
97.47/19.20	thf(1532,plain,(! [A:reg] : ((sk3 @ A) | (sk6 @ A) | ~ (($true)) | ((c @ sk10 @ A) != (c @ catalunya @ sk17)))),inference(paramod_ordered,[status(thm)],[732,1415])).
97.47/19.20	thf(1533,plain,(! [A:reg] : ((sk3 @ A) | (sk6 @ A) | ((c @ sk10 @ A) != (c @ catalunya @ sk17)))),inference(simp,[status(thm)],[1532])).
97.47/19.20	thf(1551,plain,(! [A:reg] : ((sk3 @ A) | (sk6 @ A) | (sk10 != catalunya) | (A != sk17))),inference(simp,[status(thm)],[1533])).
97.47/19.20	thf(1567,plain,((sk3 @ sk17) | (sk6 @ sk17) | (sk10 != catalunya)),inference(simp,[status(thm)],[1551])).
97.47/19.20	thf(5318,plain,(! [A:reg] : (~ (($true)) | (c @ A @ france) | ((c @ sk18 @ catalunya) != (c @ A @ paris)))),inference(paramod_ordered,[status(thm)],[689,2779])).
97.47/19.20	thf(5319,plain,(! [A:reg] : ((c @ A @ france) | ((c @ sk18 @ catalunya) != (c @ A @ paris)))),inference(simp,[status(thm)],[5318])).
97.47/19.20	thf(5367,plain,(! [A:reg] : ((c @ A @ france) | (sk18 != A) | (paris != catalunya))),inference(simp,[status(thm)],[5319])).
97.47/19.20	thf(5387,plain,((c @ sk18 @ france) | (paris != catalunya)),inference(simp,[status(thm)],[5367])).
97.47/19.20	thf(1723,plain,(! [C:reg,B:reg,A:reg] : ((sk3 @ A) | (sk6 @ A) | ~ (($true)) | (c @ C @ B) | ((c @ france @ sk10) != (c @ C @ A)))),inference(paramod_ordered,[status(thm)],[1412,30])).
97.47/19.20	thf(1724,plain,(! [C:reg,B:reg,A:reg] : ((sk3 @ A) | (sk6 @ A) | (c @ C @ B) | ((c @ france @ sk10) != (c @ C @ A)))),inference(simp,[status(thm)],[1723])).
97.47/19.20	thf(1725,plain,(! [A:reg] : ((sk3 @ sk10) | (sk6 @ sk10) | (c @ france @ A))),inference(pattern_uni,[status(thm)],[1724:[bind(A, $thf(sk10)),bind(B, $thf(B)),bind(C, $thf(france))]])).
97.47/19.20	thf(1744,plain,(! [A:reg] : ((sk3 @ sk10) | (sk6 @ sk10) | (c @ france @ A))),inference(simp,[status(thm)],[1725])).
97.47/19.20	thf(984,plain,(! [A:reg] : (~ (($true)) | (~ (sk3 @ A)) | ((c @ (sk4 @ france @ A) @ A) != (c @ sk17 @ spain)))),inference(paramod_ordered,[status(thm)],[789,520])).
97.47/19.20	thf(985,plain,(! [A:reg] : ((~ (sk3 @ A)) | ((c @ (sk4 @ france @ A) @ A) != (c @ sk17 @ spain)))),inference(simp,[status(thm)],[984])).
97.47/19.20	thf(1021,plain,(! [A:reg] : ((~ (sk3 @ A)) | ((sk4 @ france @ A) != sk17) | (A != spain))),inference(simp,[status(thm)],[985])).
97.47/19.20	thf(1038,plain,((~ (sk3 @ spain)) | ((sk4 @ france @ spain) != sk17)),inference(simp,[status(thm)],[1021])).
97.47/19.20	thf(1048,plain,(! [B:($i > $o),A:$i] : ((fool @ A @ (sk15 @ (B) @ A)) | ~ (($true)) | ((sk4 @ france @ spain) != sk17) | ((B @ A) != (sk3 @ spain)))),inference(paramod_ordered,[status(thm)],[65,1038])).
97.47/19.20	thf(1049,plain,(! [B:($i > $o),A:$i] : ((fool @ A @ (sk15 @ (B) @ A)) | ((sk4 @ france @ spain) != sk17) | ((B @ A) != (sk3 @ spain)))),inference(simp,[status(thm)],[1048])).
97.47/19.20	thf(1050,plain,(! [A:$i] : ((fool @ A @ (sk15 @ (^ [B:$i]: (sk3 @ spain)) @ A)) | ((sk4 @ france @ spain) != sk17))),inference(pre_uni,[status(thm)],[1049:[bind(A, $thf(A)),bind(B, $thf(^ [C:$i]: (sk3 @ spain)))]])).
97.47/19.20	thf(10034,plain,(! [C:reg,B:reg,A:reg] : ((~ (c @ A @ B)) | ~ (($true)) | (c @ france @ C) | ((c @ B @ A) != (c @ paris @ C)))),inference(paramod_ordered,[status(thm)],[32,7853])).
97.47/19.20	thf(10035,plain,(! [C:reg,B:reg,A:reg] : ((~ (c @ A @ B)) | (c @ france @ C) | ((c @ B @ A) != (c @ paris @ C)))),inference(simp,[status(thm)],[10034])).
97.47/19.20	thf(10036,plain,(! [A:reg] : ((~ (c @ A @ paris)) | (c @ france @ A))),inference(pattern_uni,[status(thm)],[10035:[bind(A, $thf(A)),bind(B, $thf(paris)),bind(C, $thf(A))]])).
97.47/19.20	thf(12083,plain,(! [A:reg] : (~ (($true)) | (c @ france @ A) | ((c @ catalunya @ spain) != (c @ A @ paris)))),inference(paramod_ordered,[status(thm)],[11736,10036])).
97.47/19.20	thf(12084,plain,(! [A:reg] : ((c @ france @ A) | ((c @ catalunya @ spain) != (c @ A @ paris)))),inference(simp,[status(thm)],[12083])).
97.47/19.20	thf(12095,plain,(! [A:reg] : ((c @ france @ A) | (catalunya != A) | (paris != spain))),inference(simp,[status(thm)],[12084])).
97.47/19.20	thf(12138,plain,((c @ france @ catalunya) | (paris != spain)),inference(simp,[status(thm)],[12095])).
97.47/19.20	thf(1297,plain,(! [C:reg,B:reg,A:reg] : ((sk3 @ A) | (sk6 @ A) | ~ (($true)) | (c @ C @ B) | ((c @ sk10 @ france) != (c @ C @ A)))),inference(paramod_ordered,[status(thm)],[156,30])).
97.47/19.20	thf(1298,plain,(! [C:reg,B:reg,A:reg] : ((sk3 @ A) | (sk6 @ A) | (c @ C @ B) | ((c @ sk10 @ france) != (c @ C @ A)))),inference(simp,[status(thm)],[1297])).
97.47/19.20	thf(1299,plain,(! [A:reg] : ((sk3 @ france) | (sk6 @ france) | (c @ sk10 @ A))),inference(pattern_uni,[status(thm)],[1298:[bind(A, $thf(france)),bind(B, $thf(B)),bind(C, $thf(sk10))]])).
97.47/19.20	thf(1378,plain,(! [A:reg] : ((sk3 @ france) | (sk6 @ france) | (c @ sk10 @ A))),inference(simp,[status(thm)],[1299])).
97.47/19.20	thf(403,plain,(! [C:reg,B:reg,A:reg] : ((~ (sk3 @ A)) | ~ (($true)) | (~ (c @ (sk5 @ C @ B) @ france)) | (~ (sk3 @ B)) | ((c @ (sk4 @ france @ A) @ france) != (c @ (sk4 @ C @ B) @ B)))),inference(paramod_ordered,[status(thm)],[337,16])).
97.47/19.20	thf(404,plain,(! [C:reg,B:reg,A:reg] : ((~ (sk3 @ A)) | (~ (c @ (sk5 @ C @ B) @ france)) | (~ (sk3 @ B)) | ((c @ (sk4 @ france @ A) @ france) != (c @ (sk4 @ C @ B) @ B)))),inference(simp,[status(thm)],[403])).
97.47/19.20	thf(405,plain,((~ (sk3 @ france)) | (~ (c @ (sk5 @ france @ france) @ france)) | (~ (sk3 @ france))),inference(pattern_uni,[status(thm)],[404:[bind(A, $thf(france)),bind(B, $thf(france)),bind(C, $thf(france))]])).
97.47/19.20	thf(425,plain,((~ (sk3 @ france)) | (~ (c @ (sk5 @ france @ france) @ france))),inference(simp,[status(thm)],[405])).
97.47/19.20	thf(427,plain,(! [B:reg,A:reg] : ((c @ (sk4 @ B @ A) @ B) | (~ (sk3 @ A)) | (~ (sk3 @ france)) | ~ (($true)) | ((c @ (sk5 @ B @ A) @ B) != (c @ (sk5 @ france @ france) @ france)))),inference(paramod_ordered,[status(thm)],[14,425])).
97.47/19.20	thf(428,plain,(! [B:reg,A:reg] : ((c @ (sk4 @ B @ A) @ B) | (~ (sk3 @ A)) | (~ (sk3 @ france)) | ((c @ (sk5 @ B @ A) @ B) != (c @ (sk5 @ france @ france) @ france)))),inference(simp,[status(thm)],[427])).
97.47/19.20	thf(429,plain,((c @ (sk4 @ france @ france) @ france) | (~ (sk3 @ france)) | (~ (sk3 @ france))),inference(pattern_uni,[status(thm)],[428:[bind(A, $thf(france)),bind(B, $thf(france))]])).
97.47/19.20	thf(453,plain,((c @ (sk4 @ france @ france) @ france) | (~ (sk3 @ france))),inference(simp,[status(thm)],[429])).
97.47/19.20	thf(478,plain,(! [B:reg,A:reg] : ((~ (c @ (sk4 @ B @ A) @ A)) | (~ (sk3 @ A)) | (~ (sk3 @ france)) | ~ (($true)) | ((c @ (sk5 @ B @ A) @ B) != (c @ (sk5 @ france @ france) @ france)))),inference(paramod_ordered,[status(thm)],[22,425])).
97.47/19.20	thf(479,plain,(! [B:reg,A:reg] : ((~ (c @ (sk4 @ B @ A) @ A)) | (~ (sk3 @ A)) | (~ (sk3 @ france)) | ((c @ (sk5 @ B @ A) @ B) != (c @ (sk5 @ france @ france) @ france)))),inference(simp,[status(thm)],[478])).
97.47/19.20	thf(480,plain,((~ (c @ (sk4 @ france @ france) @ france)) | (~ (sk3 @ france)) | (~ (sk3 @ france))),inference(pattern_uni,[status(thm)],[479:[bind(A, $thf(france)),bind(B, $thf(france))]])).
97.47/19.20	thf(505,plain,((~ (c @ (sk4 @ france @ france) @ france)) | (~ (sk3 @ france))),inference(simp,[status(thm)],[480])).
97.47/19.20	thf(565,plain,((~ (sk3 @ france)) | ~ (($true)) | (~ (sk3 @ france)) | ((c @ (sk4 @ france @ france) @ france) != (c @ (sk4 @ france @ france) @ france))),inference(paramod_ordered,[status(thm)],[453,505])).
97.47/19.20	thf(566,plain,((~ (sk3 @ france)) | ((c @ (sk4 @ france @ france) @ france) != (c @ (sk4 @ france @ france) @ france))),inference(simp,[status(thm)],[565])).
97.47/19.20	thf(567,plain,((~ (sk3 @ france))),inference(pattern_uni,[status(thm)],[566:[]])).
97.47/19.20	thf(2604,plain,(! [A:reg] : (($false) | (sk6 @ france) | (c @ sk10 @ A))),inference(rewrite,[status(thm)],[1378,567])).
97.47/19.20	thf(2605,plain,(! [A:reg] : ((sk6 @ france) | (c @ sk10 @ A))),inference(simp,[status(thm)],[2604])).
97.47/19.20	thf(2632,plain,(! [A:reg] : ((sk6 @ france) | ~ (($true)) | ((c @ sk10 @ A) != (c @ sk10 @ paris)))),inference(paramod_ordered,[status(thm)],[2605,103])).
97.47/19.20	thf(2633,plain,(! [A:reg] : ((sk6 @ france) | ((c @ sk10 @ A) != (c @ sk10 @ paris)))),inference(simp,[status(thm)],[2632])).
97.47/19.20	thf(2634,plain,((sk6 @ france)),inference(pattern_uni,[status(thm)],[2633:[bind(A, $thf(paris))]])).
97.47/19.20	thf(1546,plain,(! [A:reg] : ((~ (sk3 @ A)) | ~ (($true)) | ((c @ (sk4 @ france @ A) @ france) != (c @ catalunya @ sk17)))),inference(paramod_ordered,[status(thm)],[337,1415])).
97.47/19.20	thf(1547,plain,(! [A:reg] : ((~ (sk3 @ A)) | ((c @ (sk4 @ france @ A) @ france) != (c @ catalunya @ sk17)))),inference(simp,[status(thm)],[1546])).
97.47/19.20	thf(1563,plain,(! [A:reg] : ((~ (sk3 @ A)) | ((sk4 @ france @ A) != catalunya) | (sk17 != france))),inference(simp,[status(thm)],[1547])).
97.47/19.20	thf(8277,plain,(! [B:reg,A:reg] : ((~ (c @ A @ B)) | ~ (($true)) | (sk17 != france) | ((c @ B @ A) != (c @ paris @ catalunya)))),inference(paramod_ordered,[status(thm)],[32,8048])).
97.47/19.20	thf(8278,plain,(! [B:reg,A:reg] : ((~ (c @ A @ B)) | (sk17 != france) | ((c @ B @ A) != (c @ paris @ catalunya)))),inference(simp,[status(thm)],[8277])).
97.47/19.20	thf(8279,plain,((~ (c @ catalunya @ paris)) | (sk17 != france)),inference(pattern_uni,[status(thm)],[8278:[bind(A, $thf(catalunya)),bind(B, $thf(paris))]])).
97.47/19.20	thf(1601,plain,(~ (($true)) | ((c @ sk18 @ spain) != (c @ paris @ sk10))),inference(paramod_ordered,[status(thm)],[345,1471])).
97.47/19.20	thf(1602,plain,(((c @ sk18 @ spain) != (c @ paris @ sk10))),inference(simp,[status(thm)],[1601])).
97.47/19.20	thf(1616,plain,((sk18 != paris) | (sk10 != spain)),inference(simp,[status(thm)],[1602])).
97.47/19.20	thf(12070,plain,(! [A:reg] : (~ (($true)) | (c @ A @ france) | ((c @ catalunya @ spain) != (c @ A @ paris)))),inference(paramod_ordered,[status(thm)],[11736,2779])).
97.47/19.20	thf(12071,plain,(! [A:reg] : ((c @ A @ france) | ((c @ catalunya @ spain) != (c @ A @ paris)))),inference(simp,[status(thm)],[12070])).
97.47/19.20	thf(12121,plain,(! [A:reg] : ((c @ A @ france) | (catalunya != A) | (paris != spain))),inference(simp,[status(thm)],[12071])).
97.47/19.20	thf(12155,plain,((c @ catalunya @ france) | (paris != spain)),inference(simp,[status(thm)],[12121])).
97.47/19.20	thf(5421,plain,(~ (($true)) | ((c @ paris @ france) != (c @ catalunya @ sk17))),inference(paramod_ordered,[status(thm)],[5325,1415])).
97.47/19.20	thf(5422,plain,(((c @ paris @ france) != (c @ catalunya @ sk17))),inference(simp,[status(thm)],[5421])).
97.47/19.20	thf(5483,plain,((paris != catalunya) | (sk17 != france)),inference(simp,[status(thm)],[5422])).
97.47/19.20	thf(2006,plain,(! [A:reg] : (~ (($true)) | (~ (sk3 @ A)) | ((c @ (sk4 @ france @ A) @ A) != (c @ catalunya @ sk18)))),inference(paramod_ordered,[status(thm)],[1444,520])).
97.47/19.20	thf(2007,plain,(! [A:reg] : ((~ (sk3 @ A)) | ((c @ (sk4 @ france @ A) @ A) != (c @ catalunya @ sk18)))),inference(simp,[status(thm)],[2006])).
97.47/19.20	thf(2016,plain,(! [A:reg] : ((~ (sk3 @ A)) | ((sk4 @ france @ A) != catalunya) | (A != sk18))),inference(simp,[status(thm)],[2007])).
97.47/19.20	thf(2028,plain,((~ (sk3 @ sk18)) | ((sk4 @ france @ sk18) != catalunya)),inference(simp,[status(thm)],[2016])).
97.47/19.20	thf(753,plain,(! [C:reg,B:reg,A:reg] : ((sk3 @ A) | (sk6 @ A) | ~ (($true)) | (c @ C @ A) | ((c @ sk18 @ catalunya) != (c @ C @ B)))),inference(paramod_ordered,[status(thm)],[689,27])).
97.47/19.20	thf(754,plain,(! [C:reg,B:reg,A:reg] : ((sk3 @ A) | (sk6 @ A) | (c @ C @ A) | ((c @ sk18 @ catalunya) != (c @ C @ B)))),inference(simp,[status(thm)],[753])).
97.47/19.20	thf(755,plain,(! [A:reg] : ((sk3 @ A) | (sk6 @ A) | (c @ sk18 @ A))),inference(pattern_uni,[status(thm)],[754:[bind(A, $thf(A)),bind(B, $thf(catalunya)),bind(C, $thf(sk18))]])).
97.47/19.20	thf(1610,plain,(! [A:reg] : ((sk3 @ A) | (sk6 @ A) | ~ (($true)) | ((c @ sk18 @ A) != (c @ paris @ sk10)))),inference(paramod_ordered,[status(thm)],[755,1471])).
97.47/19.20	thf(1611,plain,(! [A:reg] : ((sk3 @ A) | (sk6 @ A) | ((c @ sk18 @ A) != (c @ paris @ sk10)))),inference(simp,[status(thm)],[1610])).
97.47/19.20	thf(1621,plain,(! [A:reg] : ((sk3 @ A) | (sk6 @ A) | (sk18 != paris) | (A != sk10))),inference(simp,[status(thm)],[1611])).
97.47/19.20	thf(1631,plain,((sk3 @ sk10) | (sk6 @ sk10) | (sk18 != paris)),inference(simp,[status(thm)],[1621])).
97.47/19.20	thf(1582,plain,(~ (($true)) | ((c @ sk17 @ spain) != (c @ paris @ sk10))),inference(paramod_ordered,[status(thm)],[789,1471])).
97.47/19.20	thf(1583,plain,(((c @ sk17 @ spain) != (c @ paris @ sk10))),inference(simp,[status(thm)],[1582])).
97.47/19.20	thf(1620,plain,((sk17 != paris) | (sk10 != spain)),inference(simp,[status(thm)],[1583])).
97.47/19.20	thf(59,plain,(! [C:reg,B:$i,A:$i] : ((~ (fool @ A @ B)) | (c @ (sk13 @ C) @ C) | (c @ (sk14 @ C) @ C))),inference(cnfConj,[status(thm)],[57])).
97.47/19.20	thf(71,plain,(! [D:$i,C:$i,B:($i > $o),A:$i] : ((fool @ A @ (sk16 @ (B) @ A)) | (~ (fool @ A @ C)) | (~ (fool @ C @ D)) | (B @ D))),inference(cnfConj,[status(thm)],[70])).
97.47/19.20	thf(47,plain,(! [E:reg,D:reg,C:reg,B:$i,A:$i] : ((~ (a @ A @ B)) | (~ (c @ C @ paris)) | (~ (c @ D @ (sk11 @ C))) | (c @ D @ C) | (~ (c @ C @ france)) | (~ (c @ E @ (sk12 @ C))) | (c @ E @ france))),inference(cnfConj,[status(thm)],[43])).
97.47/19.20	thf(54,plain,(! [E:reg,D:reg,C:reg,B:$i,A:$i] : ((~ (a @ A @ B)) | (~ (c @ C @ paris)) | (~ (c @ D @ (sk11 @ C))) | (c @ D @ C) | (~ (c @ C @ france)) | (~ (c @ E @ (sk12 @ C))) | (c @ E @ france))),inference(simp,[status(thm)],[47])).
97.47/19.20	thf(12032,plain,(~ (($true)) | (sk17 != france) | ((c @ catalunya @ paris) != (c @ catalunya @ spain))),inference(paramod_ordered,[status(thm)],[11736,8279])).
97.47/19.20	thf(12033,plain,((sk17 != france) | ((c @ catalunya @ paris) != (c @ catalunya @ spain))),inference(simp,[status(thm)],[12032])).
97.47/19.20	thf(12106,plain,((sk17 != france) | (catalunya != catalunya) | (paris != spain)),inference(simp,[status(thm)],[12033])).
97.47/19.20	thf(12146,plain,((sk17 != france) | (paris != spain)),inference(simp,[status(thm)],[12106])).
97.47/19.20	thf(6279,plain,(! [B:reg,A:reg] : ((paris != catalunya) | ~ (($true)) | (c @ B @ A) | ((c @ sk18 @ france) != (c @ A @ B)))),inference(paramod_ordered,[status(thm)],[5387,32])).
97.47/19.20	thf(6280,plain,(! [B:reg,A:reg] : ((paris != catalunya) | (c @ B @ A) | ((c @ sk18 @ france) != (c @ A @ B)))),inference(simp,[status(thm)],[6279])).
97.47/19.20	thf(6281,plain,((paris != catalunya) | (c @ france @ sk18)),inference(pattern_uni,[status(thm)],[6280:[bind(A, $thf(sk18)),bind(B, $thf(france))]])).
97.47/19.20	thf(83,plain,(! [C:reg,B:$i,A:$i] : ((~ (a @ A @ B)) | (c @ (sk21 @ C) @ C) | (c @ (sk22 @ C) @ C))),inference(cnfConj,[status(thm)],[77])).
97.47/19.20	thf(98,plain,(! [C:reg,B:$i,A:$i] : ((~ (a @ A @ B)) | (c @ (sk21 @ C) @ C) | (c @ (sk22 @ C) @ C))),inference(simp,[status(thm)],[83])).
97.47/19.20	thf(78,plain,(! [C:reg,B:$i,A:$i] : ((~ (a @ A @ B)) | (c @ (sk19 @ C) @ C) | (c @ (sk20 @ C) @ C))),inference(cnfConj,[status(thm)],[77])).
97.47/19.20	thf(91,plain,(! [C:reg,B:$i,A:$i] : ((~ (a @ A @ B)) | (c @ (sk19 @ C) @ C) | (c @ (sk20 @ C) @ C))),inference(simp,[status(thm)],[78])).
97.47/19.20	thf(1514,plain,(~ (($true)) | ((c @ sk10 @ france) != (c @ catalunya @ sk17))),inference(paramod_ordered,[status(thm)],[156,1415])).
97.47/19.20	thf(1515,plain,(((c @ sk10 @ france) != (c @ catalunya @ sk17))),inference(simp,[status(thm)],[1514])).
97.47/19.20	thf(1556,plain,((sk10 != catalunya) | (sk17 != france)),inference(simp,[status(thm)],[1515])).
97.47/19.20	thf(191,plain,(! [A:reg] : (~ (($true)) | ((c @ A @ A) != (c @ sk17 @ catalunya)))),inference(paramod_ordered,[status(thm)],[34,175])).
97.47/19.20	thf(192,plain,(! [A:reg] : (((c @ A @ A) != (c @ sk17 @ catalunya)))),inference(simp,[status(thm)],[191])).
97.47/19.20	thf(196,plain,(! [A:reg] : ((A != sk17) | (A != catalunya))),inference(simp,[status(thm)],[192])).
97.47/19.20	thf(198,plain,((sk17 != catalunya)),inference(simp,[status(thm)],[196])).
97.47/19.20	thf(66,plain,(! [B:($i > $o),A:$i] : ((~ (B @ (sk15 @ (B) @ A))) | (B @ A))),inference(cnfConj,[status(thm)],[64])).
97.47/19.20	thf(6572,plain,(! [B:reg,A:reg] : ((paris != spain) | ~ (($true)) | (c @ B @ A) | ((c @ sk17 @ france) != (c @ A @ B)))),inference(paramod_ordered,[status(thm)],[5394,32])).
97.47/19.20	thf(6573,plain,(! [B:reg,A:reg] : ((paris != spain) | (c @ B @ A) | ((c @ sk17 @ france) != (c @ A @ B)))),inference(simp,[status(thm)],[6572])).
97.47/19.20	thf(6574,plain,((paris != spain) | (c @ france @ sk17)),inference(pattern_uni,[status(thm)],[6573:[bind(A, $thf(sk17)),bind(B, $thf(france))]])).
97.47/19.20	thf(3839,plain,(! [A:reg] : ((sk3 @ catalunya) | (sk6 @ catalunya) | ~ (($true)) | ((c @ sk18 @ A) != (c @ sk10 @ paris)))),inference(paramod_ordered,[status(thm)],[1388,103])).
97.47/19.20	thf(3840,plain,(! [A:reg] : ((sk3 @ catalunya) | (sk6 @ catalunya) | ((c @ sk18 @ A) != (c @ sk10 @ paris)))),inference(simp,[status(thm)],[3839])).
97.47/19.20	thf(3862,plain,(! [A:reg] : ((sk3 @ catalunya) | (sk6 @ catalunya) | (sk18 != sk10) | (A != paris))),inference(simp,[status(thm)],[3840])).
97.47/19.20	thf(3881,plain,((sk3 @ catalunya) | (sk6 @ catalunya) | (sk18 != sk10)),inference(simp,[status(thm)],[3862])).
97.47/19.20	thf(159,plain,(~ (($true)) | ((c @ sk10 @ paris) != (c @ sk10 @ france))),inference(paramod_ordered,[status(thm)],[156,103])).
97.47/19.20	thf(160,plain,(((c @ sk10 @ paris) != (c @ sk10 @ france))),inference(simp,[status(thm)],[159])).
97.47/19.20	thf(161,plain,((sk10 != sk10) | (paris != france)),inference(simp,[status(thm)],[160])).
97.47/19.20	thf(162,plain,((paris != france)),inference(simp,[status(thm)],[161])).
97.47/19.20	thf(1668,plain,(! [C:reg,B:reg,A:reg] : ((sk3 @ A) | (sk6 @ A) | ~ (($true)) | (c @ C @ B) | ((c @ spain @ sk17) != (c @ C @ A)))),inference(paramod_ordered,[status(thm)],[1409,30])).
97.47/19.20	thf(1669,plain,(! [C:reg,B:reg,A:reg] : ((sk3 @ A) | (sk6 @ A) | (c @ C @ B) | ((c @ spain @ sk17) != (c @ C @ A)))),inference(simp,[status(thm)],[1668])).
97.47/19.20	thf(1670,plain,(! [A:reg] : ((sk3 @ sk17) | (sk6 @ sk17) | (c @ spain @ A))),inference(pattern_uni,[status(thm)],[1669:[bind(A, $thf(sk17)),bind(B, $thf(B)),bind(C, $thf(spain))]])).
97.47/19.20	thf(1684,plain,(! [A:reg] : ((sk3 @ sk17) | (sk6 @ sk17) | (c @ spain @ A))),inference(simp,[status(thm)],[1670])).
97.47/19.20	thf(12002,plain,(~ (($true)) | ((c @ catalunya @ sk17) != (c @ catalunya @ spain))),inference(paramod_ordered,[status(thm)],[11736,1415])).
97.47/19.20	thf(12003,plain,(((c @ catalunya @ sk17) != (c @ catalunya @ spain))),inference(simp,[status(thm)],[12002])).
97.47/19.20	thf(12098,plain,((catalunya != catalunya) | (sk17 != spain)),inference(simp,[status(thm)],[12003])).
97.47/19.20	thf(12139,plain,((sk17 != spain)),inference(simp,[status(thm)],[12098])).
97.47/19.20	thf(82,plain,(! [C:reg,B:$i,A:$i] : ((~ (a @ A @ B)) | (~ (c @ (sk19 @ C) @ sk18)) | (~ (c @ (sk20 @ C) @ catalunya)))),inference(cnfConj,[status(thm)],[77])).
97.47/19.20	thf(95,plain,(! [C:reg,B:$i,A:$i] : ((~ (a @ A @ B)) | (~ (c @ (sk19 @ C) @ sk18)) | (~ (c @ (sk20 @ C) @ catalunya)))),inference(simp,[status(thm)],[82])).
97.47/19.20	thf(8153,plain,(~ (($true)) | (france != catalunya) | ((c @ paris @ sk17) != (c @ paris @ france))),inference(paramod_ordered,[status(thm)],[5325,8041])).
97.47/19.20	thf(8154,plain,((france != catalunya) | ((c @ paris @ sk17) != (c @ paris @ france))),inference(simp,[status(thm)],[8153])).
97.47/19.20	thf(8192,plain,((france != catalunya) | (paris != paris) | (sk17 != france)),inference(simp,[status(thm)],[8154])).
97.47/19.20	thf(8218,plain,((france != catalunya) | (sk17 != france)),inference(simp,[status(thm)],[8192])).
97.47/19.20	thf(1548,plain,(! [A:reg] : ((sk3 @ A) | (sk6 @ A) | ~ (($true)) | ((c @ sk18 @ A) != (c @ catalunya @ sk17)))),inference(paramod_ordered,[status(thm)],[755,1415])).
97.47/19.20	thf(1549,plain,(! [A:reg] : ((sk3 @ A) | (sk6 @ A) | ((c @ sk18 @ A) != (c @ catalunya @ sk17)))),inference(simp,[status(thm)],[1548])).
97.47/19.20	thf(1550,plain,(! [A:reg] : ((sk3 @ A) | (sk6 @ A) | (sk18 != catalunya) | (A != sk17))),inference(simp,[status(thm)],[1549])).
97.47/19.20	thf(1566,plain,((sk3 @ sk17) | (sk6 @ sk17) | (sk18 != catalunya)),inference(simp,[status(thm)],[1550])).
97.47/19.20	thf(3837,plain,(! [A:reg] : ((sk3 @ catalunya) | (sk6 @ catalunya) | ~ (($true)) | ((c @ sk18 @ A) != (c @ paris @ sk10)))),inference(paramod_ordered,[status(thm)],[1388,1471])).
97.47/19.20	thf(3838,plain,(! [A:reg] : ((sk3 @ catalunya) | (sk6 @ catalunya) | ((c @ sk18 @ A) != (c @ paris @ sk10)))),inference(simp,[status(thm)],[3837])).
97.47/19.20	thf(3866,plain,(! [A:reg] : ((sk3 @ catalunya) | (sk6 @ catalunya) | (sk18 != paris) | (A != sk10))),inference(simp,[status(thm)],[3838])).
97.47/19.20	thf(3885,plain,((sk3 @ catalunya) | (sk6 @ catalunya) | (sk18 != paris)),inference(simp,[status(thm)],[3866])).
97.47/19.20	thf(7147,plain,(! [B:reg,A:reg] : ((sk3 @ catalunya) | (sk6 @ catalunya) | ~ (($true)) | (c @ B @ A) | ((c @ sk18 @ france) != (c @ A @ B)))),inference(paramod_ordered,[status(thm)],[5334,32])).
97.47/19.20	thf(7148,plain,(! [B:reg,A:reg] : ((sk3 @ catalunya) | (sk6 @ catalunya) | (c @ B @ A) | ((c @ sk18 @ france) != (c @ A @ B)))),inference(simp,[status(thm)],[7147])).
97.47/19.20	thf(7149,plain,((sk3 @ catalunya) | (sk6 @ catalunya) | (c @ france @ sk18)),inference(pattern_uni,[status(thm)],[7148:[bind(A, $thf(sk18)),bind(B, $thf(france))]])).
97.47/19.20	thf(10588,plain,(! [A:reg] : ((~ (c @ A @ paris)) | ~ (($true)) | ((c @ france @ A) != (c @ catalunya @ sk17)))),inference(paramod_ordered,[status(thm)],[10036,1415])).
97.47/19.20	thf(10589,plain,(! [A:reg] : ((~ (c @ A @ paris)) | ((c @ france @ A) != (c @ catalunya @ sk17)))),inference(simp,[status(thm)],[10588])).
97.47/19.20	thf(10787,plain,(! [A:reg] : ((~ (c @ A @ paris)) | (france != catalunya) | (A != sk17))),inference(simp,[status(thm)],[10589])).
97.47/19.20	thf(10841,plain,((~ (c @ sk17 @ paris)) | (france != catalunya)),inference(simp,[status(thm)],[10787])).
97.47/19.20	thf(5404,plain,(~ (($true)) | ((c @ sk17 @ catalunya) != (c @ paris @ france))),inference(paramod_ordered,[status(thm)],[5325,175])).
97.47/19.20	thf(5405,plain,(((c @ sk17 @ catalunya) != (c @ paris @ france))),inference(simp,[status(thm)],[5404])).
97.47/19.20	thf(5472,plain,((sk17 != paris) | (france != catalunya)),inference(simp,[status(thm)],[5405])).
97.47/19.20	thf(807,plain,(~ (($true)) | ((c @ sk17 @ spain) != (c @ sk10 @ paris))),inference(paramod_ordered,[status(thm)],[789,103])).
97.47/19.20	thf(808,plain,(((c @ sk17 @ spain) != (c @ sk10 @ paris))),inference(simp,[status(thm)],[807])).
97.47/19.20	thf(813,plain,((sk17 != sk10) | (paris != spain)),inference(simp,[status(thm)],[808])).
97.47/19.20	thf(39,plain,(! [C:$i,B:($i > $o),A:$i] : ((~ ((sk9 @ (B) @ A) = (sk9 @ ((=) @ $i @ (sk9 @ B @ A)) @ A))) | (~ (a @ A @ C)) | ((sk9 @ (B) @ A) = C))),inference(replace_leibeq,[status(thm)],[38:[bind(A, $thf(A)),bind(B, $thf((=) @ $i @ (sk9 @ B @ A)))]])).
97.47/19.20	thf(40,plain,(! [C:$i,B:($i > $o),A:$i] : (((sk9 @ (B) @ A) != (sk9 @ ((=) @ $i @ (sk9 @ B @ A)) @ A)) | ((sk9 @ (B) @ A) = C) | (~ (a @ A @ C)))),inference(lifteq,[status(thm)],[39])).
97.47/19.20	thf(21,plain,(! [B:reg,A:reg] : ((sk3 @ A) | (c @ (sk7 @ B @ A) @ B) | (c @ (sk8 @ B @ A) @ B) | (~ (sk6 @ A)))),inference(cnfConj,[status(thm)],[13])).
97.47/19.20	thf(26,plain,(! [B:reg,A:reg] : ((sk3 @ A) | (c @ (sk7 @ B @ A) @ B) | (c @ (sk8 @ B @ A) @ B) | (~ (sk6 @ A)))),inference(simp,[status(thm)],[21])).
97.47/19.20	thf(1717,plain,(! [A:reg] : (~ (($true)) | (~ (sk3 @ A)) | ((c @ (sk4 @ france @ A) @ A) != (c @ france @ sk10)))),inference(paramod_ordered,[status(thm)],[1412,520])).
97.47/19.20	thf(1718,plain,(! [A:reg] : ((~ (sk3 @ A)) | ((c @ (sk4 @ france @ A) @ A) != (c @ france @ sk10)))),inference(simp,[status(thm)],[1717])).
97.47/19.20	thf(1726,plain,(! [A:reg] : ((~ (sk3 @ A)) | ((sk4 @ france @ A) != france) | (A != sk10))),inference(simp,[status(thm)],[1718])).
97.47/19.20	thf(1745,plain,((~ (sk3 @ sk10)) | ((sk4 @ france @ sk10) != france)),inference(simp,[status(thm)],[1726])).
97.47/19.20	thf(5446,plain,(~ (($true)) | ((c @ paris @ sk10) != (c @ paris @ france))),inference(paramod_ordered,[status(thm)],[5325,1471])).
97.47/19.20	thf(5447,plain,(((c @ paris @ sk10) != (c @ paris @ france))),inference(simp,[status(thm)],[5446])).
97.47/19.20	thf(5476,plain,((paris != paris) | (sk10 != france)),inference(simp,[status(thm)],[5447])).
97.47/19.20	thf(5505,plain,((sk10 != france)),inference(simp,[status(thm)],[5476])).
97.47/19.20	thf(58,plain,(! [C:reg,B:$i,A:$i] : ((~ (fool @ A @ B)) | (~ (c @ (sk13 @ C) @ spain)) | (c @ (sk14 @ C) @ C))),inference(cnfConj,[status(thm)],[57])).
97.47/19.20	thf(1288,plain,(! [C:reg,B:reg,A:reg] : ((sk3 @ A) | (sk6 @ A) | ~ (($true)) | (c @ C @ B) | ((c @ sk17 @ spain) != (c @ C @ A)))),inference(paramod_ordered,[status(thm)],[789,30])).
97.47/19.20	thf(1289,plain,(! [C:reg,B:reg,A:reg] : ((sk3 @ A) | (sk6 @ A) | (c @ C @ B) | ((c @ sk17 @ spain) != (c @ C @ A)))),inference(simp,[status(thm)],[1288])).
97.47/19.20	thf(1290,plain,(! [A:reg] : ((sk3 @ spain) | (sk6 @ spain) | (c @ sk17 @ A))),inference(pattern_uni,[status(thm)],[1289:[bind(A, $thf(spain)),bind(B, $thf(B)),bind(C, $thf(sk17))]])).
97.47/19.20	thf(1372,plain,(! [A:reg] : ((sk3 @ spain) | (sk6 @ spain) | (c @ sk17 @ A))),inference(simp,[status(thm)],[1290])).
97.47/19.20	thf(2121,plain,(! [A:reg] : ((sk3 @ spain) | (sk6 @ spain) | ~ (($true)) | ((c @ sk17 @ A) != (c @ sk17 @ catalunya)))),inference(paramod_ordered,[status(thm)],[1372,175])).
97.47/19.20	thf(2122,plain,(! [A:reg] : ((sk3 @ spain) | (sk6 @ spain) | ((c @ sk17 @ A) != (c @ sk17 @ catalunya)))),inference(simp,[status(thm)],[2121])).
97.47/19.20	thf(2123,plain,((sk3 @ spain) | (sk6 @ spain)),inference(pattern_uni,[status(thm)],[2122:[bind(A, $thf(catalunya))]])).
97.47/19.20	thf(46,plain,(! [E:reg,D:reg,C:reg,B:$i,A:$i] : ((~ (a @ A @ B)) | (~ (c @ C @ paris)) | (~ (c @ D @ (sk11 @ C))) | (c @ D @ C) | (~ (c @ C @ france)) | (~ (c @ E @ (sk12 @ C))) | (c @ E @ C))),inference(cnfConj,[status(thm)],[43])).
97.47/19.20	thf(51,plain,(! [E:reg,D:reg,C:reg,B:$i,A:$i] : ((~ (a @ A @ B)) | (~ (c @ C @ paris)) | (~ (c @ D @ (sk11 @ C))) | (c @ D @ C) | (~ (c @ C @ france)) | (~ (c @ E @ (sk12 @ C))) | (c @ E @ C))),inference(simp,[status(thm)],[46])).
97.47/19.20	thf(13746,plain,(! [B:reg,A:reg] : ((france != catalunya) | ~ (($true)) | (c @ B @ A) | ((c @ sk10 @ spain) != (c @ A @ B)))),inference(paramod_ordered,[status(thm)],[11949,32])).
97.47/19.20	thf(13747,plain,(! [B:reg,A:reg] : ((france != catalunya) | (c @ B @ A) | ((c @ sk10 @ spain) != (c @ A @ B)))),inference(simp,[status(thm)],[13746])).
97.47/19.20	thf(13748,plain,((france != catalunya) | (c @ spain @ sk10)),inference(pattern_uni,[status(thm)],[13747:[bind(A, $thf(sk10)),bind(B, $thf(spain))]])).
97.47/19.20	thf(189,plain,(~ (($true)) | ((c @ sk17 @ catalunya) != (c @ sk10 @ france))),inference(paramod_ordered,[status(thm)],[156,175])).
97.47/19.20	thf(190,plain,(((c @ sk17 @ catalunya) != (c @ sk10 @ france))),inference(simp,[status(thm)],[189])).
97.47/19.20	thf(195,plain,((sk17 != sk10) | (france != catalunya)),inference(simp,[status(thm)],[190])).
97.47/19.20	thf(87,plain,(! [C:reg,B:$i,A:$i] : ((~ (a @ A @ B)) | (~ (c @ (sk19 @ C) @ sk18)) | (c @ (sk20 @ C) @ C))),inference(cnfConj,[status(thm)],[77])).
97.47/19.20	thf(94,plain,(! [C:reg,B:$i,A:$i] : ((~ (a @ A @ B)) | (~ (c @ (sk19 @ C) @ sk18)) | (c @ (sk20 @ C) @ C))),inference(simp,[status(thm)],[87])).
97.47/19.20	thf(67,plain,(! [B:($i > $o),A:$i] : ((~ ((sk15 @ (B) @ A) = (sk15 @ ((=) @ $i @ (sk15 @ B @ A)) @ A))) | ((sk15 @ (B) @ A) = A))),inference(replace_leibeq,[status(thm)],[66:[bind(A, $thf(A)),bind(B, $thf((=) @ $i @ (sk15 @ B @ A)))]])).
97.47/19.20	thf(68,plain,(! [B:($i > $o),A:$i] : (((sk15 @ (B) @ A) != (sk15 @ ((=) @ $i @ (sk15 @ B @ A)) @ A)) | ((sk15 @ (B) @ A) = A))),inference(lifteq,[status(thm)],[67])).
97.47/19.20	thf(13159,plain,(! [B:reg,A:reg] : ((~ (c @ A @ B)) | ~ (($true)) | (sk10 != spain) | ((c @ B @ A) != (c @ paris @ catalunya)))),inference(paramod_ordered,[status(thm)],[32,11954])).
97.47/19.20	thf(13160,plain,(! [B:reg,A:reg] : ((~ (c @ A @ B)) | (sk10 != spain) | ((c @ B @ A) != (c @ paris @ catalunya)))),inference(simp,[status(thm)],[13159])).
97.47/19.20	thf(13161,plain,((~ (c @ catalunya @ paris)) | (sk10 != spain)),inference(pattern_uni,[status(thm)],[13160:[bind(A, $thf(catalunya)),bind(B, $thf(paris))]])).
97.47/19.20	thf(996,plain,(! [B:reg,A:reg] : (~ (($true)) | (~ (sk3 @ B)) | ((c @ A @ A) != (c @ (sk4 @ france @ B) @ B)))),inference(paramod_ordered,[status(thm)],[34,520])).
97.47/19.20	thf(997,plain,(! [B:reg,A:reg] : ((~ (sk3 @ B)) | ((c @ A @ A) != (c @ (sk4 @ france @ B) @ B)))),inference(simp,[status(thm)],[996])).
97.47/19.20	thf(1020,plain,(! [B:reg,A:reg] : ((~ (sk3 @ B)) | (A != (sk4 @ france @ B)) | (A != B))),inference(simp,[status(thm)],[997])).
97.47/19.20	thf(1037,plain,(! [A:reg] : ((~ (sk3 @ A)) | ((sk4 @ france @ A) != A))),inference(simp,[status(thm)],[1020])).
97.47/19.20	thf(358,plain,(~ (($true)) | ((c @ sk18 @ spain) != (c @ sk10 @ paris))),inference(paramod_ordered,[status(thm)],[345,103])).
97.47/19.20	thf(359,plain,(((c @ sk18 @ spain) != (c @ sk10 @ paris))),inference(simp,[status(thm)],[358])).
97.47/19.20	thf(364,plain,((sk18 != sk10) | (paris != spain)),inference(simp,[status(thm)],[359])).
97.47/19.20	thf(112,plain,(! [B:($i > $o),A:$i] : ((fool @ A @ (sk15 @ (B) @ A)) | ((B @ A) != (fool @ A @ (sk15 @ (B) @ A))) | ~ (($true)))),inference(eqfactor_ordered,[status(thm)],[65])).
97.47/19.20	thf(122,plain,(! [B:($i > $o),A:$i] : ((fool @ A @ (sk15 @ (B) @ A)) | ((B @ A) != (fool @ A @ (sk15 @ (B) @ A))))),inference(simp,[status(thm)],[112])).
97.47/19.20	thf(21994,plain,(($false)),inference(e,[status(thm)],[747,1412,69,3883,12710,1633,12116,5393,5935,417,1046,25,37,12324,11203,838,5640,6434,13273,6643,52,1409,11949,14,817,5866,20,12137,93,29,1415,789,12593,61,1796,1433,11954,849,74,12036,12101,248,60,714,5334,1042,13949,1619,33,28,38,92,97,1687,7853,710,8048,65,11736,156,8041,53,1028,2085,96,109,1567,5387,1744,5374,1050,41,12138,134,2634,1563,8279,1035,1616,12155,5483,2028,689,1631,32,34,732,22,1620,1388,59,27,71,54,12146,6281,5325,567,98,5381,1471,345,103,91,1556,198,520,66,6574,35,3881,162,1684,63,12139,95,8218,1566,3885,16,1038,7149,11969,31,11,72,175,10841,5472,813,40,26,1745,55,5394,5505,75,58,1444,2779,2123,30,51,19,13748,10036,195,94,5440,68,13161,11935,1037,755,1468,364,337,122])).
97.47/19.20	% SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
97.47/19.20	% [INFO] 	 Killing All external provers ... 
14.23/19.32	EOF