0.04/0.13 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.04/0.14 % Command : run_Leo-III---1.5 %s %d
0.15/0.36 % Computer : n024.cluster.edu
0.15/0.36 % Model : x86_64 x86_64
0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.15/0.36 % Memory : 8042.1875MB
0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
0.15/0.36 % CPULimit : 960
0.15/0.36 % WCLimit : 120
0.15/0.36 % DateTime : Thu Jul 2 09:00:26 EDT 2020
0.15/0.36 % CPUTime :
0.22/0.37 % Leo-III: Strategy 1 (for '60')
212.89/51.76 % [INFO] Running in sequential loop mode.
212.89/51.76 % [CONFIG] Using configuration: timeout(60) with strategy
212.89/51.76 % [INFO] eprover registered as external prover.
212.89/51.76 % [INFO] cvc4 registered as external prover.
212.89/51.76 % [INFO] Parsing finished. Scanning for conjecture ...
212.89/51.76 % [INFO] Found a conjecture and 0 axioms. Running axiom selection ...
212.89/51.76 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
212.89/51.76 % [INFO] Type checking passed. Searching for refutation ...
212.89/51.76 % [INFO] Killing All external provers ...
212.89/51.76 % Time passed: 47744ms
212.89/51.76 % Effective reasoning time: 46221ms
212.89/51.76 % Solved by strategy
212.89/51.76 % Axioms used in derivation (0):
212.89/51.76 % No. of inferences in proof: 316
212.89/51.76 % No. of processed clauses: 109
212.89/51.76 % No. of generated clauses: 7533
212.89/51.76 % No. of forward subsumed clauses: 299
212.89/51.76 % No. of backward subsumed clauses: 10
212.89/51.76 % No. of ground rewrite rules in store: 20
212.89/51.76 % No. of non-ground rewrite rules in store: 4
212.89/51.76 % No. of positive (non-rewrite) units in store: 0
212.89/51.76 % No. of negative (non-rewrite) units in store: 22
212.89/51.76 % No. of choice functions detected: 0
212.89/51.76 % No. of choice instantiations: 0
212.89/51.76 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 47744 ms resp. 46221 ms w/o parsing
212.89/51.76 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
212.89/51.76 thf(iS_type, type, iS: $tType).
212.89/51.76 thf(y_type, type, y: iS).
212.89/51.76 thf(x_type, type, x: iS).
212.89/51.76 thf(cP_type, type, cP: (iS > (iS > iS))).
212.89/51.76 thf(c0_type, type, c0: iS).
212.89/51.76 thf(sk1_type, type, sk1: ((iS > $o) > iS)).
212.89/51.76 thf(sk2_type, type, sk2: ((iS > $o) > iS)).
212.89/51.76 thf(sk3_type, type, sk3: (iS > (iS > (iS > $o)))).
212.89/51.76 thf(sk4_type, type, sk4: (iS > (iS > iS))).
212.89/51.76 thf(sk5_type, type, sk5: (iS > (iS > iS))).
212.89/51.76 thf(sk7_type, type, sk7: iS).
212.89/51.76 thf(1,conjecture,(((! [A:iS,B:iS,C:iS,D:iS]: (((cP @ A @ C) = (cP @ B @ D)) => ((A = B) & (C = D))) & ! [A:(iS > $o)]: (((A @ c0) & ! [B:iS,C:iS]: (((A @ C) & (A @ B)) => (A @ (cP @ B @ C)))) => (! [B:iS]: (A @ B))) & ! [A:iS,B:iS]: ((cP @ A @ B) != c0)) => (! [A:(iS > (iS > (iS > $o)))]: ((($true) & ! [B:iS,C:iS,D:iS]: ((A @ B @ C @ D) <= (((C = c0) & (B = D)) | ? [E:iS,F:iS,G:iS,H:iS,I:iS,J:iS]: ((B = (cP @ E @ F)) & (C = (cP @ G @ H)) & (D = (cP @ I @ J)) & (A @ F @ H @ J) & (A @ E @ G @ I)) | ((B = c0) & (C = D))))) => (A @ (cP @ x @ c0) @ (cP @ x @ y) @ (cP @ x @ y)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cS_INCL_LEM4_pme)).
212.89/51.76 thf(2,negated_conjecture,((~ ((! [A:iS,B:iS,C:iS,D:iS]: (((cP @ A @ C) = (cP @ B @ D)) => ((A = B) & (C = D))) & ! [A:(iS > $o)]: (((A @ c0) & ! [B:iS,C:iS]: (((A @ C) & (A @ B)) => (A @ (cP @ B @ C)))) => (! [B:iS]: (A @ B))) & ! [A:iS,B:iS]: ((cP @ A @ B) != c0)) => (! [A:(iS > (iS > (iS > $o)))]: ((($true) & ! [B:iS,C:iS,D:iS]: ((A @ B @ C @ D) <= (((C = c0) & (B = D)) | ? [E:iS,F:iS,G:iS,H:iS,I:iS,J:iS]: ((B = (cP @ E @ F)) & (C = (cP @ G @ H)) & (D = (cP @ I @ J)) & (A @ F @ H @ J) & (A @ E @ G @ I)) | ((B = c0) & (C = D))))) => (A @ (cP @ x @ c0) @ (cP @ x @ y) @ (cP @ x @ y))))))),inference(neg_conjecture,[status(cth)],[1])).
212.89/51.76 thf(3,plain,((~ ((! [A:iS,B:iS,C:iS,D:iS]: (((cP @ A @ C) = (cP @ B @ D)) => ((A = B) & (C = D))) & ! [A:(iS > $o)]: (((A @ c0) & ! [B:iS,C:iS]: (((A @ C) & (A @ B)) => (A @ (cP @ B @ C)))) => (! [B:iS]: (A @ B))) & ! [A:iS,B:iS]: ~ ((cP @ A @ B) = c0)) => (! [A:(iS > (iS > (iS > $o)))]: ((! [B:iS,C:iS,D:iS]: ((A @ B @ C @ D) | ~ (((C = c0) & (B = D)) | ? [E:iS,F:iS,G:iS,H:iS,I:iS,J:iS]: ((B = (cP @ E @ F)) & (C = (cP @ G @ H)) & (D = (cP @ I @ J)) & (A @ F @ H @ J) & (A @ E @ G @ I)) | ((B = c0) & (C = D))))) => (A @ (cP @ x @ c0) @ (cP @ x @ y) @ (cP @ x @ y))))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[2])).
212.89/51.76 thf(4,plain,((~ ((! [A:iS,B:iS,C:iS,D:iS]: (((cP @ A @ C) = (cP @ B @ D)) => ((A = B) & (C = D))) & ! [A:(iS > $o)]: (((A @ c0) & ! [B:iS,C:iS]: (((A @ C) & (A @ B)) => (A @ (cP @ B @ C)))) => (! [B:iS]: (A @ B))) & ~ (? [A:iS,B:iS]: ((cP @ A @ B) = c0))) => (! [A:(iS > (iS > (iS > $o)))]: ((! [B:iS,C:iS,D:iS]: ((A @ B @ C @ D) | ~ (((C = c0) & (B = D)) | ? [E:iS,F:iS,G:iS,H:iS,I:iS]: (? [J:iS]: ((B = (cP @ E @ F)) & (C = (cP @ G @ H)) & (D = (cP @ I @ J)) & (A @ F @ H @ J)) & (A @ E @ G @ I)) | ((B = c0) & (C = D))))) => (A @ (cP @ x @ c0) @ (cP @ x @ y) @ (cP @ x @ y))))))),inference(miniscope,[status(thm)],[3])).
212.89/51.76 thf(14,plain,(! [C:iS,B:iS,A:iS] : ((sk3 @ A @ B @ C) | (~ (B = c0)) | (~ (A = C)))),inference(cnf,[status(esa)],[4])).
212.89/51.76 thf(21,plain,(! [C:iS,B:iS,A:iS] : ((B != c0) | (A != C) | (sk3 @ A @ B @ C))),inference(lifteq,[status(thm)],[14])).
212.89/51.76 thf(22,plain,(! [A:iS] : ((sk3 @ A @ c0 @ A))),inference(simp,[status(thm)],[21])).
212.89/51.76 thf(13,plain,(! [B:iS,A:(iS > $o)] : ((~ (A @ c0)) | (A @ (sk1 @ (A))) | (A @ B))),inference(cnf,[status(esa)],[4])).
212.89/51.76 thf(16,plain,(! [A:iS] : ((~ (c0 = c0)) | (c0 = (sk1 @ (= @ iS @ c0))) | (c0 = A))),inference(replace_leibeq,[status(thm)],[13:[bind(A, $thf(= @ iS @ c0))]])).
212.89/51.76 thf(32,plain,(! [A:iS] : ((c0 != c0) | ((sk1 @ (= @ iS @ c0)) = c0) | (c0 = A))),inference(lifteq,[status(thm)],[16])).
212.89/51.76 thf(33,plain,(! [A:iS] : (((sk1 @ (= @ iS @ c0)) = c0) | (c0 = A))),inference(simp,[status(thm)],[32])).
212.89/51.76 thf(9,plain,(! [B:iS,A:iS] : ((~ ((cP @ A @ B) = c0)))),inference(cnf,[status(esa)],[4])).
212.89/51.76 thf(25,plain,(! [B:iS,A:iS] : (((cP @ A @ B) != c0))),inference(lifteq,[status(thm)],[9])).
212.89/51.76 thf(26,plain,(! [B:iS,A:iS] : (((cP @ A @ B) != c0))),inference(simp,[status(thm)],[25])).
212.89/51.76 thf(116,plain,(! [C:iS,B:iS,A:iS] : (((sk1 @ (= @ iS @ c0)) = c0) | (A != (cP @ B @ C)))),inference(paramod_ordered,[status(thm)],[33,26])).
212.89/51.76 thf(117,plain,(((sk1 @ (= @ iS @ c0)) = c0)),inference(pattern_uni,[status(thm)],[116:[bind(A, $thf(cP @ D @ E)),bind(B, $thf(D)),bind(C, $thf(E))]])).
212.89/51.76 thf(8,plain,(! [B:iS,A:(iS > $o)] : ((~ (A @ c0)) | (A @ (sk2 @ (A))) | (A @ B))),inference(cnf,[status(esa)],[4])).
212.89/51.76 thf(17,plain,(! [A:iS] : ((~ (c0 = c0)) | (c0 = (sk2 @ (= @ iS @ c0))) | (c0 = A))),inference(replace_leibeq,[status(thm)],[8:[bind(A, $thf(= @ iS @ c0))]])).
212.89/51.76 thf(28,plain,(! [A:iS] : ((c0 != c0) | ((sk2 @ (= @ iS @ c0)) = c0) | (c0 = A))),inference(lifteq,[status(thm)],[17])).
212.89/51.76 thf(29,plain,(! [A:iS] : (((sk2 @ (= @ iS @ c0)) = c0) | (c0 = A))),inference(simp,[status(thm)],[28])).
212.89/51.76 thf(67,plain,(! [C:iS,B:iS,A:iS] : (((sk2 @ (= @ iS @ c0)) = c0) | (A != (cP @ B @ C)))),inference(paramod_ordered,[status(thm)],[29,26])).
212.89/51.76 thf(68,plain,(((sk2 @ (= @ iS @ c0)) = c0)),inference(pattern_uni,[status(thm)],[67:[bind(A, $thf(cP @ D @ E)),bind(B, $thf(D)),bind(C, $thf(E))]])).
212.89/51.76 thf(10,plain,(! [B:iS,A:(iS > $o)] : ((~ (A @ c0)) | (~ (A @ (cP @ (sk1 @ (A)) @ (sk2 @ (A))))) | (A @ B))),inference(cnf,[status(esa)],[4])).
212.89/51.76 thf(20,plain,(! [B:iS,A:(iS > $o)] : ((~ (A @ c0)) | (~ (A @ (cP @ (sk1 @ (A)) @ (sk2 @ (A))))) | (A @ B))),inference(simp,[status(thm)],[10])).
212.89/51.76 thf(12,plain,(! [I:iS,H:iS,G:iS,F:iS,E:iS,D:iS,C:iS,B:iS,A:iS] : ((sk3 @ A @ B @ C) | (~ (A = (cP @ D @ E))) | (~ (B = (cP @ F @ G))) | (~ (C = (cP @ H @ I))) | (~ (sk3 @ E @ G @ I)) | (~ (sk3 @ D @ F @ H)))),inference(cnf,[status(esa)],[4])).
212.89/51.76 thf(30,plain,(! [I:iS,H:iS,G:iS,F:iS,E:iS,D:iS,C:iS,B:iS,A:iS] : ((A != (cP @ D @ E)) | (B != (cP @ F @ G)) | (C != (cP @ H @ I)) | (sk3 @ A @ B @ C) | (~ (sk3 @ E @ G @ I)) | (~ (sk3 @ D @ F @ H)))),inference(lifteq,[status(thm)],[12])).
212.89/51.76 thf(31,plain,(! [F:iS,E:iS,D:iS,C:iS,B:iS,A:iS] : ((sk3 @ (cP @ A @ B) @ (cP @ C @ D) @ (cP @ E @ F)) | (~ (sk3 @ B @ D @ F)) | (~ (sk3 @ A @ C @ E)))),inference(simp,[status(thm)],[30])).
212.89/51.76 thf(7,plain,((~ (sk3 @ (cP @ x @ c0) @ (cP @ x @ y) @ (cP @ x @ y)))),inference(cnf,[status(esa)],[4])).
212.89/51.76 thf(502,plain,(! [F:iS,E:iS,D:iS,C:iS,B:iS,A:iS] : ((~ (sk3 @ B @ D @ F)) | (~ (sk3 @ A @ C @ E)) | ((sk3 @ (cP @ A @ B) @ (cP @ C @ D) @ (cP @ E @ F)) != (sk3 @ (cP @ x @ c0) @ (cP @ x @ y) @ (cP @ x @ y))))),inference(paramod_ordered,[status(thm)],[31,7])).
212.89/51.76 thf(503,plain,((~ (sk3 @ c0 @ y @ y)) | (~ (sk3 @ x @ x @ x))),inference(pattern_uni,[status(thm)],[502:[bind(A, $thf(x)),bind(B, $thf(c0)),bind(C, $thf(x)),bind(D, $thf(y)),bind(E, $thf(x)),bind(F, $thf(y))]])).
212.89/51.76 thf(6,plain,(! [C:iS,B:iS,A:iS] : ((sk3 @ A @ B @ C) | (~ (A = c0)) | (~ (B = C)))),inference(cnf,[status(esa)],[4])).
212.89/51.76 thf(23,plain,(! [C:iS,B:iS,A:iS] : ((A != c0) | (B != C) | (sk3 @ A @ B @ C))),inference(lifteq,[status(thm)],[6])).
212.89/51.76 thf(24,plain,(! [A:iS] : ((sk3 @ c0 @ A @ A))),inference(simp,[status(thm)],[23])).
212.89/51.76 thf(547,plain,(~ ($true) | (~ (sk3 @ x @ x @ x))),inference(rewrite,[status(thm)],[503,24])).
212.89/51.76 thf(548,plain,((~ (sk3 @ x @ x @ x))),inference(simp,[status(thm)],[547])).
212.89/51.76 thf(550,plain,(! [B:iS,A:(iS > $o)] : ((~ (A @ c0)) | (~ (A @ (cP @ (sk1 @ (A)) @ (sk2 @ (A))))) | ((A @ B) != (sk3 @ x @ x @ x)))),inference(paramod_ordered,[status(thm)],[20,548])).
212.89/51.76 thf(558,plain,((~ (sk3 @ x @ c0 @ x)) | (~ (sk3 @ x @ (cP @ (sk1 @ (^ [A:iS]: (sk3 @ x @ A @ x))) @ (sk2 @ (^ [A:iS]: (sk3 @ x @ A @ x)))) @ x))),inference(pre_uni,[status(thm)],[550:[bind(A, $thf(^ [C:iS]: (sk3 @ x @ C @ x))),bind(B, $thf(x))]])).
212.89/51.76 thf(574,plain,(~ ($true) | (~ (sk3 @ x @ (cP @ (sk1 @ (^ [A:iS]: (sk3 @ x @ A @ x))) @ (sk2 @ (^ [A:iS]: (sk3 @ x @ A @ x)))) @ x))),inference(rewrite,[status(thm)],[558,22])).
212.89/51.76 thf(575,plain,((~ (sk3 @ x @ (cP @ (sk1 @ (^ [A:iS]: (sk3 @ x @ A @ x))) @ (sk2 @ (^ [A:iS]: (sk3 @ x @ A @ x)))) @ x))),inference(simp,[status(thm)],[574])).
212.89/51.76 thf(583,plain,((~ (sk3 @ x @ (cP @ (sk1 @ (^ [A:iS]: (sk3 @ x @ A @ x))) @ c0) @ x)) | ((sk2 @ (^ [A:iS]: (sk3 @ x @ A @ x))) != (sk2 @ (= @ iS @ c0)))),inference(paramod_ordered,[status(thm)],[68,575])).
212.89/51.76 thf(587,plain,((~ (sk3 @ x @ (cP @ (sk1 @ (^ [A:iS]: (sk3 @ x @ A @ x))) @ c0) @ x)) | ((^ [A:iS]: (sk3 @ x @ A @ x)) != (= @ iS @ c0))),inference(simp,[status(thm)],[583])).
212.89/51.76 thf(855,plain,((~ (sk3 @ x @ (cP @ c0 @ c0) @ x)) | ((^ [A:iS]: (sk3 @ x @ A @ x)) != (= @ iS @ c0)) | ((sk1 @ (^ [A:iS]: (sk3 @ x @ A @ x))) != (sk1 @ (= @ iS @ c0)))),inference(paramod_ordered,[status(thm)],[117,587])).
212.89/51.76 thf(873,plain,((~ (sk3 @ x @ (cP @ c0 @ c0) @ x)) | ((^ [A:iS]: (sk3 @ x @ A @ x)) != (= @ iS @ c0)) | ((^ [A:iS]: (sk3 @ x @ A @ x)) != (= @ iS @ c0))),inference(simp,[status(thm)],[855])).
212.89/51.76 thf(883,plain,((~ (sk3 @ x @ (cP @ c0 @ c0) @ x)) | ((^ [A:iS]: (sk3 @ x @ A @ x)) != (= @ iS @ c0))),inference(simp,[status(thm)],[873])).
212.89/51.76 thf(1108,plain,(((sk3 @ x @ sk7 @ x) != (c0 = sk7)) | (~ (sk3 @ x @ (cP @ c0 @ c0) @ x))),inference(func_ext,[status(esa)],[883])).
212.89/51.76 thf(2194,plain,((~ (sk3 @ x @ (cP @ c0 @ c0) @ x)) | (~ (sk3 @ x @ sk7 @ x)) | (~ (c0 = sk7))),inference(bool_ext,[status(thm)],[1108])).
212.89/51.76 thf(2256,plain,((sk7 != c0) | (~ (sk3 @ x @ (cP @ c0 @ c0) @ x)) | (~ (sk3 @ x @ sk7 @ x))),inference(lifteq,[status(thm)],[2194])).
212.89/51.76 thf(2356,plain,((sk7 != c0) | (~ (sk3 @ x @ sk7 @ x)) | ((sk3 @ x @ (cP @ c0 @ c0) @ x) != (sk3 @ x @ sk7 @ x)) | ~ ($true)),inference(eqfactor_ordered,[status(thm)],[2256])).
212.89/51.76 thf(2395,plain,((sk7 != c0) | (~ (sk3 @ x @ sk7 @ x)) | (x != x) | ((cP @ c0 @ c0) != sk7) | (x != x)),inference(simp,[status(thm)],[2356])).
212.89/51.76 thf(2452,plain,((sk7 != c0) | (~ (sk3 @ x @ sk7 @ x)) | ((cP @ c0 @ c0) != sk7)),inference(simp,[status(thm)],[2395])).
212.89/51.76 thf(3937,plain,(! [A:iS] : ((sk7 != c0) | ((cP @ c0 @ c0) != sk7) | ((sk3 @ A @ c0 @ A) != (sk3 @ x @ sk7 @ x)))),inference(paramod_ordered,[status(thm)],[22,2452])).
212.89/51.76 thf(3973,plain,(! [A:iS] : ((sk7 != c0) | ((cP @ c0 @ c0) != sk7) | (A != x) | (sk7 != c0) | (A != x))),inference(simp,[status(thm)],[3937])).
212.89/51.76 thf(3990,plain,((sk7 != c0) | ((cP @ c0 @ c0) != sk7)),inference(simp,[status(thm)],[3973])).
212.89/51.76 thf(2333,plain,(! [A:iS] : ((sk7 != c0) | (~ (sk3 @ x @ (cP @ c0 @ c0) @ x)) | ((sk3 @ A @ c0 @ A) != (sk3 @ x @ sk7 @ x)))),inference(paramod_ordered,[status(thm)],[22,2256])).
212.89/51.76 thf(2380,plain,(! [A:iS] : ((sk7 != c0) | (~ (sk3 @ x @ (cP @ c0 @ c0) @ x)) | (A != x) | (sk7 != c0) | (A != x))),inference(simp,[status(thm)],[2333])).
212.89/51.76 thf(2448,plain,((sk7 != c0) | (~ (sk3 @ x @ (cP @ c0 @ c0) @ x))),inference(simp,[status(thm)],[2380])).
212.89/51.76 thf(36,plain,(! [B:iS,A:(iS > $o)] : ((~ (A @ c0)) | (A @ (sk2 @ (A))) | (A @ B))),inference(simp,[status(thm)],[8])).
212.89/51.76 thf(630,plain,(! [B:iS,A:(iS > $o)] : ((~ (A @ c0)) | (A @ (sk2 @ (A))) | ((A @ B) != (sk3 @ x @ (cP @ (sk1 @ (^ [C:iS]: (sk3 @ x @ C @ x))) @ (sk2 @ (^ [C:iS]: (sk3 @ x @ C @ x)))) @ x)))),inference(paramod_ordered,[status(thm)],[36,575])).
212.89/51.76 thf(681,plain,((~ (sk3 @ x @ c0 @ x)) | (sk3 @ x @ (sk2 @ (^ [A:iS]: (sk3 @ x @ A @ x))) @ x)),inference(pre_uni,[status(thm)],[630:[bind(A, $thf(^ [C:iS]: (sk3 @ x @ C @ x))),bind(B, $thf(cP @ (sk1 @ (^ [C:iS]: (sk3 @ x @ C @ x))) @ (sk2 @ (^ [C:iS]: (sk3 @ x @ C @ x)))))]])).
212.89/51.76 thf(1677,plain,(~ ($true) | (sk3 @ x @ (sk2 @ (^ [A:iS]: (sk3 @ x @ A @ x))) @ x)),inference(rewrite,[status(thm)],[681,22])).
212.89/51.76 thf(1678,plain,((sk3 @ x @ (sk2 @ (^ [A:iS]: (sk3 @ x @ A @ x))) @ x)),inference(simp,[status(thm)],[1677])).
212.89/51.76 thf(1684,plain,(((sk3 @ x @ (sk2 @ (^ [A:iS]: (sk3 @ x @ A @ x))) @ x) != (sk3 @ x @ x @ x))),inference(paramod_ordered,[status(thm)],[1678,548])).
212.89/51.76 thf(1711,plain,((x != x) | ((sk2 @ (^ [A:iS]: (sk3 @ x @ A @ x))) != x) | (x != x)),inference(simp,[status(thm)],[1684])).
212.89/51.76 thf(1720,plain,(((sk2 @ (^ [A:iS]: (sk3 @ x @ A @ x))) != x)),inference(simp,[status(thm)],[1711])).
212.89/51.76 thf(144,plain,(! [C:iS,B:(iS > $o),A:iS] : ((~ (B @ (cP @ (sk1 @ (B)) @ (sk2 @ (B))))) | (B @ C) | ((sk3 @ c0 @ A @ A) != (B @ c0)))),inference(paramod_ordered,[status(thm)],[24,20])).
212.89/51.76 thf(205,plain,(! [C:(iS > iS),B:(iS > iS),A:iS] : ((~ (sk3 @ (cP @ (sk1 @ (^ [D:iS]: (sk3 @ D @ (B @ D) @ (C @ D)))) @ (sk2 @ (^ [D:iS]: (sk3 @ D @ (B @ D) @ (C @ D))))) @ (B @ (cP @ (sk1 @ (^ [D:iS]: (sk3 @ D @ (B @ D) @ (C @ D)))) @ (sk2 @ (^ [D:iS]: (sk3 @ D @ (B @ D) @ (C @ D)))))) @ (C @ (cP @ (sk1 @ (^ [D:iS]: (sk3 @ D @ (B @ D) @ (C @ D)))) @ (sk2 @ (^ [D:iS]: (sk3 @ D @ (B @ D) @ (C @ D)))))))) | (sk3 @ A @ (B @ A) @ (C @ A)) | ((B @ c0) != (C @ c0)))),inference(pre_uni,[status(thm)],[144:[bind(A, $thf(E @ c0)),bind(B, $thf(^ [F:iS]: (sk3 @ F @ (E @ F) @ (F @ F)))),bind(C, $thf(C))]])).
212.89/51.76 thf(207,plain,(! [C:(iS > iS),B:(iS > iS),A:iS] : ((sk3 @ A @ (B @ A) @ (C @ A)) | (~ (sk3 @ (cP @ (sk1 @ (^ [D:iS]: (sk3 @ D @ (B @ D) @ (C @ D)))) @ (sk2 @ (^ [D:iS]: (sk3 @ D @ (B @ D) @ (C @ D))))) @ (B @ (cP @ (sk1 @ (^ [D:iS]: (sk3 @ D @ (B @ D) @ (C @ D)))) @ (sk2 @ (^ [D:iS]: (sk3 @ D @ (B @ D) @ (C @ D)))))) @ (C @ (cP @ (sk1 @ (^ [D:iS]: (sk3 @ D @ (B @ D) @ (C @ D)))) @ (sk2 @ (^ [D:iS]: (sk3 @ D @ (B @ D) @ (C @ D)))))))) | ((B @ c0) != (C @ c0)))),inference(pre_uni,[status(thm)],[205:[]])).
212.89/51.76 thf(224,plain,(! [C:(iS > iS),B:(iS > iS),A:iS] : ((sk3 @ A @ (B @ A) @ (C @ A)) | (~ (sk3 @ (cP @ (sk1 @ (^ [D:iS]: (sk3 @ D @ (B @ D) @ (C @ D)))) @ (sk2 @ (^ [D:iS]: (sk3 @ D @ (B @ D) @ (C @ D))))) @ (B @ (cP @ (sk1 @ (^ [D:iS]: (sk3 @ D @ (B @ D) @ (C @ D)))) @ (sk2 @ (^ [D:iS]: (sk3 @ D @ (B @ D) @ (C @ D)))))) @ (C @ (cP @ (sk1 @ (^ [D:iS]: (sk3 @ D @ (B @ D) @ (C @ D)))) @ (sk2 @ (^ [D:iS]: (sk3 @ D @ (B @ D) @ (C @ D)))))))) | ((B @ c0) != (C @ c0)))),inference(simp,[status(thm)],[207])).
212.89/51.76 thf(8407,plain,(! [C:(iS > iS),B:(iS > iS),A:iS] : ((~ (sk3 @ (cP @ (sk1 @ (^ [D:iS]: (sk3 @ D @ (B @ D) @ (C @ D)))) @ (sk2 @ (^ [D:iS]: (sk3 @ D @ (B @ D) @ (C @ D))))) @ (B @ (cP @ (sk1 @ (^ [D:iS]: (sk3 @ D @ (B @ D) @ (C @ D)))) @ (sk2 @ (^ [D:iS]: (sk3 @ D @ (B @ D) @ (C @ D)))))) @ (C @ (cP @ (sk1 @ (^ [D:iS]: (sk3 @ D @ (B @ D) @ (C @ D)))) @ (sk2 @ (^ [D:iS]: (sk3 @ D @ (B @ D) @ (C @ D)))))))) | ((B @ c0) != (C @ c0)) | ((sk3 @ A @ (B @ A) @ (C @ A)) != (sk3 @ x @ x @ x)))),inference(paramod_ordered,[status(thm)],[224,548])).
212.89/51.76 thf(8605,plain,((~ (sk3 @ (cP @ (sk1 @ (^ [A:iS]: (sk3 @ A @ A @ A))) @ (sk2 @ (^ [A:iS]: (sk3 @ A @ A @ A)))) @ (cP @ (sk1 @ (^ [A:iS]: (sk3 @ A @ A @ A))) @ (sk2 @ (^ [A:iS]: (sk3 @ A @ A @ A)))) @ (cP @ (sk1 @ (^ [A:iS]: (sk3 @ A @ A @ A))) @ (sk2 @ (^ [A:iS]: (sk3 @ A @ A @ A)))))) | (c0 != c0)),inference(pre_uni,[status(thm)],[8407:[bind(A, $thf(x)),bind(B, $thf(^ [D:iS]: (D))),bind(C, $thf(^ [D:iS]: (D)))]])).
212.89/51.76 thf(8607,plain,((~ (sk3 @ (cP @ (sk1 @ (^ [A:iS]: (sk3 @ A @ A @ A))) @ (sk2 @ (^ [A:iS]: (sk3 @ A @ A @ A)))) @ (cP @ (sk1 @ (^ [A:iS]: (sk3 @ A @ A @ A))) @ (sk2 @ (^ [A:iS]: (sk3 @ A @ A @ A)))) @ (cP @ (sk1 @ (^ [A:iS]: (sk3 @ A @ A @ A))) @ (sk2 @ (^ [A:iS]: (sk3 @ A @ A @ A))))))),inference(pattern_uni,[status(thm)],[8605:[]])).
212.89/51.76 thf(8445,plain,(! [C:(iS > iS),B:(iS > iS),A:iS] : ((~ (sk3 @ (cP @ (sk1 @ (^ [D:iS]: (sk3 @ D @ (B @ D) @ (C @ D)))) @ (sk2 @ (^ [D:iS]: (sk3 @ D @ (B @ D) @ (C @ D))))) @ (B @ (cP @ (sk1 @ (^ [D:iS]: (sk3 @ D @ (B @ D) @ (C @ D)))) @ (sk2 @ (^ [D:iS]: (sk3 @ D @ (B @ D) @ (C @ D)))))) @ (C @ (cP @ (sk1 @ (^ [D:iS]: (sk3 @ D @ (B @ D) @ (C @ D)))) @ (sk2 @ (^ [D:iS]: (sk3 @ D @ (B @ D) @ (C @ D)))))))) | ((B @ c0) != (C @ c0)) | ((sk3 @ A @ (B @ A) @ (C @ A)) != (sk3 @ (cP @ x @ c0) @ (cP @ x @ y) @ (cP @ x @ y))))),inference(paramod_ordered,[status(thm)],[224,7])).
212.89/51.76 thf(8653,plain,((~ (sk3 @ (cP @ (sk1 @ (^ [A:iS]: (sk3 @ A @ (cP @ x @ y) @ (cP @ x @ y)))) @ (sk2 @ (^ [A:iS]: (sk3 @ A @ (cP @ x @ y) @ (cP @ x @ y))))) @ (cP @ x @ y) @ (cP @ x @ y))) | ((cP @ x @ y) != (cP @ x @ y))),inference(pre_uni,[status(thm)],[8445:[bind(A, $thf(cP @ x @ c0)),bind(B, $thf(^ [D:iS]: (cP @ x @ y))),bind(C, $thf(^ [D:iS]: (cP @ x @ y)))]])).
212.89/51.76 thf(8654,plain,((~ (sk3 @ (cP @ (sk1 @ (^ [A:iS]: (sk3 @ A @ (cP @ x @ y) @ (cP @ x @ y)))) @ (sk2 @ (^ [A:iS]: (sk3 @ A @ (cP @ x @ y) @ (cP @ x @ y))))) @ (cP @ x @ y) @ (cP @ x @ y)))),inference(pattern_uni,[status(thm)],[8653:[]])).
212.89/51.76 thf(10664,plain,(! [A:iS] : (((sk3 @ c0 @ A @ A) != (sk3 @ (cP @ (sk1 @ (^ [B:iS]: (sk3 @ B @ (cP @ x @ y) @ (cP @ x @ y)))) @ (sk2 @ (^ [B:iS]: (sk3 @ B @ (cP @ x @ y) @ (cP @ x @ y))))) @ (cP @ x @ y) @ (cP @ x @ y))))),inference(paramod_ordered,[status(thm)],[24,8654])).
212.89/51.76 thf(10715,plain,(! [A:iS] : (((cP @ (sk1 @ (^ [B:iS]: (sk3 @ B @ (cP @ x @ y) @ (cP @ x @ y)))) @ (sk2 @ (^ [B:iS]: (sk3 @ B @ (cP @ x @ y) @ (cP @ x @ y))))) != c0) | (A != (cP @ x @ y)) | (A != (cP @ x @ y)))),inference(simp,[status(thm)],[10664])).
212.89/51.76 thf(10730,plain,(((cP @ (sk1 @ (^ [A:iS]: (sk3 @ A @ (cP @ x @ y) @ (cP @ x @ y)))) @ (sk2 @ (^ [A:iS]: (sk3 @ A @ (cP @ x @ y) @ (cP @ x @ y))))) != c0)),inference(simp,[status(thm)],[10715])).
212.89/51.76 thf(610,plain,(! [B:iS,A:(iS > $o)] : ((~ (A @ c0)) | (A @ (sk2 @ (A))) | ((A @ B) != (sk3 @ x @ x @ x)))),inference(paramod_ordered,[status(thm)],[36,548])).
212.89/51.76 thf(701,plain,((~ (sk3 @ c0 @ x @ x)) | (sk3 @ (sk2 @ (^ [A:iS]: (sk3 @ A @ x @ x))) @ x @ x)),inference(pre_uni,[status(thm)],[610:[bind(A, $thf(^ [C:iS]: (sk3 @ C @ x @ x))),bind(B, $thf(x))]])).
212.89/51.76 thf(1739,plain,(~ ($true) | (sk3 @ (sk2 @ (^ [A:iS]: (sk3 @ A @ x @ x))) @ x @ x)),inference(rewrite,[status(thm)],[701,24])).
212.89/51.76 thf(1740,plain,((sk3 @ (sk2 @ (^ [A:iS]: (sk3 @ A @ x @ x))) @ x @ x)),inference(simp,[status(thm)],[1739])).
212.89/51.76 thf(1746,plain,(((sk3 @ (sk2 @ (^ [A:iS]: (sk3 @ A @ x @ x))) @ x @ x) != (sk3 @ x @ x @ x))),inference(paramod_ordered,[status(thm)],[1740,548])).
212.89/51.76 thf(1769,plain,(((sk2 @ (^ [A:iS]: (sk3 @ A @ x @ x))) != x) | (x != x) | (x != x)),inference(simp,[status(thm)],[1746])).
212.89/51.76 thf(1782,plain,(((sk2 @ (^ [A:iS]: (sk3 @ A @ x @ x))) != x)),inference(simp,[status(thm)],[1769])).
212.89/51.76 thf(27,plain,(! [B:iS,A:(iS > $o)] : ((~ (A @ c0)) | (A @ (sk1 @ (A))) | (A @ B))),inference(simp,[status(thm)],[13])).
212.89/51.76 thf(554,plain,(! [B:iS,A:(iS > $o)] : ((~ (A @ c0)) | (A @ (sk1 @ (A))) | ((A @ B) != (sk3 @ x @ x @ x)))),inference(paramod_ordered,[status(thm)],[27,548])).
212.89/51.76 thf(565,plain,((~ (sk3 @ c0 @ c0 @ x)) | (sk3 @ (sk1 @ (^ [A:iS]: (sk3 @ A @ A @ x))) @ (sk1 @ (^ [A:iS]: (sk3 @ A @ A @ x))) @ x)),inference(pre_uni,[status(thm)],[554:[bind(A, $thf(^ [C:iS]: (sk3 @ C @ C @ x))),bind(B, $thf(x))]])).
212.89/51.76 thf(702,plain,((~ (sk3 @ c0 @ c0 @ x)) | (sk3 @ (sk2 @ (^ [A:iS]: (sk3 @ A @ A @ x))) @ (sk2 @ (^ [A:iS]: (sk3 @ A @ A @ x))) @ x)),inference(pre_uni,[status(thm)],[610:[bind(A, $thf(^ [C:iS]: (sk3 @ C @ C @ x))),bind(B, $thf(x))]])).
212.89/51.76 thf(4026,plain,((~ (sk3 @ c0 @ c0 @ x)) | ((sk3 @ (sk2 @ (^ [A:iS]: (sk3 @ A @ A @ x))) @ (sk2 @ (^ [A:iS]: (sk3 @ A @ A @ x))) @ x) != (sk3 @ x @ x @ x))),inference(paramod_ordered,[status(thm)],[702,548])).
212.89/51.76 thf(4095,plain,((~ (sk3 @ c0 @ c0 @ x)) | ((sk2 @ (^ [A:iS]: (sk3 @ A @ A @ x))) != x) | ((sk2 @ (^ [A:iS]: (sk3 @ A @ A @ x))) != x) | (x != x)),inference(simp,[status(thm)],[4026])).
212.89/51.76 thf(4156,plain,((~ (sk3 @ c0 @ c0 @ x)) | ((sk2 @ (^ [A:iS]: (sk3 @ A @ A @ x))) != x)),inference(simp,[status(thm)],[4095])).
212.89/51.76 thf(371,plain,(! [B:(iS > $o),A:iS] : ((~ (~ (B @ c0))) | (~ (B @ (sk1 @ (^ [C:iS]: ~ (B @ C))))) | (~ (B @ A)))),inference(prim_subst,[status(thm)],[27:[bind(A, $thf(^ [D:iS]: ~ (C @ D)))]])).
212.89/51.76 thf(462,plain,(! [B:(iS > $o),A:iS] : ((~ (B @ A)) | (~ (B @ (sk1 @ (^ [C:iS]: ~ (B @ C))))) | (B @ c0))),inference(cnf,[status(esa)],[371])).
212.89/51.76 thf(463,plain,(! [B:(iS > $o),A:iS] : ((~ (B @ A)) | (~ (B @ (sk1 @ (^ [C:iS]: ~ (B @ C))))) | (B @ c0))),inference(simp,[status(thm)],[462])).
212.89/51.76 thf(910,plain,(! [B:(iS > $o),A:iS] : ((~ (~ (B @ A))) | (~ (~ (B @ (sk1 @ (^ [C:iS]: ~ (~ (B @ C))))))) | (~ (B @ c0)))),inference(prim_subst,[status(thm)],[463:[bind(A, $thf(A)),bind(B, $thf(^ [D:iS]: ~ (C @ D)))]])).
212.89/51.76 thf(1002,plain,(! [B:(iS > $o),A:iS] : ((~ (B @ c0)) | (B @ (sk1 @ (^ [C:iS]: ~ (~ (B @ C))))) | (B @ A))),inference(cnf,[status(esa)],[910])).
212.89/51.76 thf(1003,plain,(! [B:(iS > $o),A:iS] : ((~ (B @ c0)) | (B @ (sk1 @ (B))) | (B @ A))),inference(simp,[status(thm)],[1002])).
212.89/51.76 thf(10049,plain,(! [B:(iS > $o),A:iS] : ((~ (B @ c0)) | (B @ (sk1 @ (B))) | ((B @ A) != (sk3 @ (cP @ (sk1 @ (^ [C:iS]: (sk3 @ C @ C @ C))) @ (sk2 @ (^ [C:iS]: (sk3 @ C @ C @ C)))) @ (cP @ (sk1 @ (^ [C:iS]: (sk3 @ C @ C @ C))) @ (sk2 @ (^ [C:iS]: (sk3 @ C @ C @ C)))) @ (cP @ (sk1 @ (^ [C:iS]: (sk3 @ C @ C @ C))) @ (sk2 @ (^ [C:iS]: (sk3 @ C @ C @ C)))))))),inference(paramod_ordered,[status(thm)],[1003,8607])).
212.89/51.76 thf(10071,plain,((~ (sk3 @ c0 @ c0 @ c0)) | (sk3 @ (sk1 @ (^ [A:iS]: (sk3 @ A @ A @ A))) @ (sk1 @ (^ [A:iS]: (sk3 @ A @ A @ A))) @ (sk1 @ (^ [A:iS]: (sk3 @ A @ A @ A))))),inference(pre_uni,[status(thm)],[10049:[bind(A, $thf(cP @ (sk1 @ (^ [C:iS]: (sk3 @ C @ C @ C))) @ (sk2 @ (^ [C:iS]: (sk3 @ C @ C @ C))))),bind(B, $thf(^ [C:iS]: (sk3 @ C @ C @ C)))]])).
212.89/51.76 thf(163,plain,(! [C:iS,B:(iS > $o),A:iS] : ((~ (B @ c0)) | (B @ C) | ((sk3 @ A @ c0 @ A) != (B @ (cP @ (sk1 @ (B)) @ (sk2 @ (B))))))),inference(paramod_ordered,[status(thm)],[22,20])).
212.89/51.76 thf(201,plain,(! [C:(iS > iS),B:(iS > iS),A:iS] : ((~ (sk3 @ (B @ c0) @ c0 @ (C @ c0))) | (sk3 @ (B @ A) @ c0 @ (C @ A)) | ((B @ (cP @ (sk1 @ (^ [D:iS]: (sk3 @ (B @ D) @ c0 @ (C @ D)))) @ (sk2 @ (^ [D:iS]: (sk3 @ (B @ D) @ c0 @ (C @ D)))))) != (C @ (cP @ (sk1 @ (^ [D:iS]: (sk3 @ (B @ D) @ c0 @ (C @ D)))) @ (sk2 @ (^ [D:iS]: (sk3 @ (B @ D) @ c0 @ (C @ D))))))))),inference(pre_uni,[status(thm)],[163:[bind(A, $thf(D @ (cP @ (sk1 @ (^ [F:iS]: (sk3 @ (D @ F) @ c0 @ (F @ F)))) @ (sk2 @ (^ [F:iS]: (sk3 @ (D @ F) @ c0 @ (F @ F))))))),bind(B, $thf(^ [F:iS]: (sk3 @ (D @ F) @ c0 @ (F @ F)))),bind(C, $thf(C))]])).
212.89/51.76 thf(202,plain,(! [C:(iS > iS),B:(iS > iS),A:iS] : ((sk3 @ (B @ A) @ c0 @ (C @ A)) | (~ (sk3 @ (B @ c0) @ c0 @ (C @ c0))) | ((B @ (cP @ (sk1 @ (^ [D:iS]: (sk3 @ (B @ D) @ c0 @ (C @ D)))) @ (sk2 @ (^ [D:iS]: (sk3 @ (B @ D) @ c0 @ (C @ D)))))) != (C @ (cP @ (sk1 @ (^ [D:iS]: (sk3 @ (B @ D) @ c0 @ (C @ D)))) @ (sk2 @ (^ [D:iS]: (sk3 @ (B @ D) @ c0 @ (C @ D))))))))),inference(pre_uni,[status(thm)],[201:[]])).
212.89/51.76 thf(221,plain,(! [C:(iS > iS),B:(iS > iS),A:iS] : ((sk3 @ (B @ A) @ c0 @ (C @ A)) | (~ (sk3 @ (B @ c0) @ c0 @ (C @ c0))) | ((B @ (cP @ (sk1 @ (^ [D:iS]: (sk3 @ (B @ D) @ c0 @ (C @ D)))) @ (sk2 @ (^ [D:iS]: (sk3 @ (B @ D) @ c0 @ (C @ D)))))) != (C @ (cP @ (sk1 @ (^ [D:iS]: (sk3 @ (B @ D) @ c0 @ (C @ D)))) @ (sk2 @ (^ [D:iS]: (sk3 @ (B @ D) @ c0 @ (C @ D))))))))),inference(simp,[status(thm)],[202])).
212.89/51.76 thf(6707,plain,(! [C:(iS > iS),B:(iS > iS),A:iS] : ((sk3 @ (B @ A) @ c0 @ c0) | (~ (sk3 @ (B @ c0) @ c0 @ (C @ c0))) | ((B @ (cP @ (sk1 @ (^ [D:iS]: (sk3 @ (B @ D) @ c0 @ (C @ D)))) @ (sk2 @ (^ [D:iS]: (sk3 @ (B @ D) @ c0 @ (C @ D)))))) != (C @ (cP @ (sk1 @ (^ [D:iS]: (sk3 @ (B @ D) @ c0 @ (C @ D)))) @ (sk2 @ (^ [D:iS]: (sk3 @ (B @ D) @ c0 @ (C @ D))))))) | ((sk1 @ (= @ iS @ c0)) != (C @ A)))),inference(paramod_ordered,[status(thm)],[117,221])).
212.89/51.76 thf(6829,plain,(! [A:(iS > iS)] : ((sk3 @ (A @ (sk1 @ (= @ iS @ c0))) @ c0 @ c0) | (~ (sk3 @ (A @ c0) @ c0 @ c0)) | ((A @ (cP @ (sk1 @ (^ [B:iS]: (sk3 @ (A @ B) @ c0 @ B))) @ (sk2 @ (^ [B:iS]: (sk3 @ (A @ B) @ c0 @ B))))) != (cP @ (sk1 @ (^ [B:iS]: (sk3 @ (A @ B) @ c0 @ B))) @ (sk2 @ (^ [B:iS]: (sk3 @ (A @ B) @ c0 @ B))))))),inference(pre_uni,[status(thm)],[6707:[bind(A, $thf(sk1 @ (= @ iS @ c0))),bind(B, $thf(B)),bind(C, $thf(^ [D:iS]: (D)))]])).
212.89/51.76 thf(6832,plain,((~ (sk3 @ c0 @ c0 @ c0)) | (sk3 @ (sk1 @ (= @ iS @ c0)) @ c0 @ c0)),inference(pre_uni,[status(thm)],[6829:[bind(A, $thf(^ [B:iS]: (B)))]])).
212.89/51.76 thf(7143,plain,(~ ($true) | (sk3 @ c0 @ c0 @ c0)),inference(rewrite,[status(thm)],[6832,117,22])).
212.89/51.76 thf(7144,plain,((sk3 @ c0 @ c0 @ c0)),inference(simp,[status(thm)],[7143])).
212.89/51.76 thf(12836,plain,(~ ($true) | (sk3 @ (sk1 @ (^ [A:iS]: (sk3 @ A @ A @ A))) @ (sk1 @ (^ [A:iS]: (sk3 @ A @ A @ A))) @ (sk1 @ (^ [A:iS]: (sk3 @ A @ A @ A))))),inference(rewrite,[status(thm)],[10071,7144])).
212.89/51.76 thf(12837,plain,((sk3 @ (sk1 @ (^ [A:iS]: (sk3 @ A @ A @ A))) @ (sk1 @ (^ [A:iS]: (sk3 @ A @ A @ A))) @ (sk1 @ (^ [A:iS]: (sk3 @ A @ A @ A))))),inference(simp,[status(thm)],[12836])).
212.89/51.76 thf(639,plain,(! [B:(iS > $o),A:iS] : ((~ (~ (B @ c0))) | (~ (B @ (sk2 @ (^ [C:iS]: ~ (B @ C))))) | (~ (B @ A)))),inference(prim_subst,[status(thm)],[36:[bind(A, $thf(^ [D:iS]: ~ (C @ D)))]])).
212.89/51.76 thf(798,plain,(! [B:(iS > $o),A:iS] : ((~ (B @ A)) | (~ (B @ (sk2 @ (^ [C:iS]: ~ (B @ C))))) | (B @ c0))),inference(cnf,[status(esa)],[639])).
212.89/51.76 thf(799,plain,(! [B:(iS > $o),A:iS] : ((~ (B @ A)) | (~ (B @ (sk2 @ (^ [C:iS]: ~ (B @ C))))) | (B @ c0))),inference(simp,[status(thm)],[798])).
212.89/51.76 thf(1179,plain,(! [B:(iS > $o),A:iS] : ((~ (~ (B @ A))) | (~ (~ (B @ (sk2 @ (^ [C:iS]: ~ (~ (B @ C))))))) | (~ (B @ c0)))),inference(prim_subst,[status(thm)],[799:[bind(A, $thf(A)),bind(B, $thf(^ [D:iS]: ~ (C @ D)))]])).
212.89/51.76 thf(1279,plain,(! [B:(iS > $o),A:iS] : ((~ (B @ c0)) | (B @ (sk2 @ (^ [C:iS]: ~ (~ (B @ C))))) | (B @ A))),inference(cnf,[status(esa)],[1179])).
212.89/51.76 thf(1280,plain,(! [B:(iS > $o),A:iS] : ((~ (B @ c0)) | (B @ (sk2 @ (B))) | (B @ A))),inference(simp,[status(thm)],[1279])).
212.89/51.76 thf(10053,plain,(! [B:(iS > $o),A:iS] : ((~ (B @ c0)) | (B @ (sk2 @ (B))) | ((B @ A) != (sk3 @ (cP @ (sk1 @ (^ [C:iS]: (sk3 @ C @ C @ C))) @ (sk2 @ (^ [C:iS]: (sk3 @ C @ C @ C)))) @ (cP @ (sk1 @ (^ [C:iS]: (sk3 @ C @ C @ C))) @ (sk2 @ (^ [C:iS]: (sk3 @ C @ C @ C)))) @ (cP @ (sk1 @ (^ [C:iS]: (sk3 @ C @ C @ C))) @ (sk2 @ (^ [C:iS]: (sk3 @ C @ C @ C)))))))),inference(paramod_ordered,[status(thm)],[1280,8607])).
212.89/51.76 thf(10090,plain,((~ (sk3 @ c0 @ c0 @ c0)) | (sk3 @ (sk2 @ (^ [A:iS]: (sk3 @ A @ A @ A))) @ (sk2 @ (^ [A:iS]: (sk3 @ A @ A @ A))) @ (sk2 @ (^ [A:iS]: (sk3 @ A @ A @ A))))),inference(pre_uni,[status(thm)],[10053:[bind(A, $thf(cP @ (sk1 @ (^ [C:iS]: (sk3 @ C @ C @ C))) @ (sk2 @ (^ [C:iS]: (sk3 @ C @ C @ C))))),bind(B, $thf(^ [C:iS]: (sk3 @ C @ C @ C)))]])).
212.89/51.76 thf(17481,plain,(~ ($true) | (sk3 @ (sk2 @ (^ [A:iS]: (sk3 @ A @ A @ A))) @ (sk2 @ (^ [A:iS]: (sk3 @ A @ A @ A))) @ (sk2 @ (^ [A:iS]: (sk3 @ A @ A @ A))))),inference(rewrite,[status(thm)],[10090,7144])).
212.89/51.76 thf(17482,plain,((sk3 @ (sk2 @ (^ [A:iS]: (sk3 @ A @ A @ A))) @ (sk2 @ (^ [A:iS]: (sk3 @ A @ A @ A))) @ (sk2 @ (^ [A:iS]: (sk3 @ A @ A @ A))))),inference(simp,[status(thm)],[17481])).
212.89/51.76 thf(17547,plain,((sk3 @ (sk2 @ (^ [A:iS]: (sk3 @ A @ A @ A))) @ (sk2 @ (^ [A:iS]: (sk3 @ A @ A @ A))) @ c0) | ((sk2 @ (^ [A:iS]: (sk3 @ A @ A @ A))) != (sk2 @ (= @ iS @ c0)))),inference(paramod_ordered,[status(thm)],[68,17482])).
212.89/51.76 thf(17588,plain,((sk3 @ (sk2 @ (^ [A:iS]: (sk3 @ A @ A @ A))) @ (sk2 @ (^ [A:iS]: (sk3 @ A @ A @ A))) @ c0) | ((^ [A:iS]: (sk3 @ A @ A @ A)) != (= @ iS @ c0))),inference(simp,[status(thm)],[17547])).
212.89/51.76 thf(12841,plain,((sk3 @ (sk1 @ (^ [A:iS]: (sk3 @ A @ A @ A))) @ (sk1 @ (^ [A:iS]: (sk3 @ A @ A @ A))) @ c0) | ((sk1 @ (^ [A:iS]: (sk3 @ A @ A @ A))) != (sk1 @ (= @ iS @ c0)))),inference(paramod_ordered,[status(thm)],[117,12837])).
212.89/51.76 thf(12940,plain,((sk3 @ (sk1 @ (^ [A:iS]: (sk3 @ A @ A @ A))) @ (sk1 @ (^ [A:iS]: (sk3 @ A @ A @ A))) @ c0) | ((^ [A:iS]: (sk3 @ A @ A @ A)) != (= @ iS @ c0))),inference(simp,[status(thm)],[12841])).
212.89/51.76 thf(13771,plain,((sk3 @ c0 @ (sk1 @ (^ [A:iS]: (sk3 @ A @ A @ A))) @ c0) | ((^ [A:iS]: (sk3 @ A @ A @ A)) != (= @ iS @ c0)) | ((sk1 @ (^ [A:iS]: (sk3 @ A @ A @ A))) != (sk1 @ (= @ iS @ c0)))),inference(paramod_ordered,[status(thm)],[117,12940])).
212.89/51.76 thf(13864,plain,((sk3 @ c0 @ (sk1 @ (^ [A:iS]: (sk3 @ A @ A @ A))) @ c0) | ((^ [A:iS]: (sk3 @ A @ A @ A)) != (= @ iS @ c0)) | ((^ [A:iS]: (sk3 @ A @ A @ A)) != (= @ iS @ c0))),inference(simp,[status(thm)],[13771])).
212.89/51.76 thf(13895,plain,((sk3 @ c0 @ (sk1 @ (^ [A:iS]: (sk3 @ A @ A @ A))) @ c0) | ((^ [A:iS]: (sk3 @ A @ A @ A)) != (= @ iS @ c0))),inference(simp,[status(thm)],[13864])).
212.89/51.76 thf(146,plain,(! [D:iS,C:(iS > $o),B:iS,A:(iS > $o)] : ((~ (A @ c0)) | (~ (A @ (cP @ (sk1 @ (A)) @ (sk2 @ (A))))) | (~ (C @ (cP @ (sk1 @ (C)) @ (sk2 @ (C))))) | (C @ D) | ((A @ B) != (C @ c0)))),inference(paramod_ordered,[status(thm)],[20,20])).
212.89/51.76 thf(215,plain,(! [D:iS,C:(iS > $o),B:iS,A:(iS > $o)] : ((~ (A @ c0)) | (~ (A @ (cP @ (sk1 @ (A)) @ (sk2 @ (A))))) | (~ (C @ (cP @ (sk1 @ (C)) @ (sk2 @ (C))))) | (C @ D) | ((A @ B) != (C @ c0)))),inference(pre_uni,[status(thm)],[146:[]])).
212.89/51.76 thf(216,plain,(! [D:iS,C:(iS > $o),B:iS,A:(iS > $o)] : ((C @ D) | (~ (C @ (cP @ (sk1 @ (C)) @ (sk2 @ (C))))) | (~ (A @ (cP @ (sk1 @ (A)) @ (sk2 @ (A))))) | (~ (A @ c0)) | ((A @ B) != (C @ c0)))),inference(pre_uni,[status(thm)],[215:[]])).
212.89/51.76 thf(168,plain,(! [C:(iS > $o),B:(iS > $o),A:iS] : ((~ ((B @ c0) | (C @ c0))) | (~ ((B @ (cP @ (sk1 @ (^ [D:iS]: ((B @ D) | (C @ D)))) @ (sk2 @ (^ [D:iS]: ((B @ D) | (C @ D)))))) | (C @ (cP @ (sk1 @ (^ [D:iS]: ((B @ D) | (C @ D)))) @ (sk2 @ (^ [D:iS]: ((B @ D) | (C @ D)))))))) | ((B @ A) | (C @ A)))),inference(prim_subst,[status(thm)],[20:[bind(A, $thf(^ [E:iS]: ((C @ E) | (D @ E))))]])).
212.89/51.76 thf(234,plain,(! [C:(iS > $o),B:(iS > $o),A:iS] : ((B @ A) | (C @ A) | (~ (C @ (cP @ (sk1 @ (^ [D:iS]: ((B @ D) | (C @ D)))) @ (sk2 @ (^ [D:iS]: ((B @ D) | (C @ D))))))) | (~ (B @ c0)))),inference(cnf,[status(esa)],[168])).
212.89/51.76 thf(238,plain,(! [C:(iS > $o),B:(iS > $o),A:iS] : ((B @ A) | (C @ A) | (~ (C @ (cP @ (sk1 @ (^ [D:iS]: ((B @ D) | (C @ D)))) @ (sk2 @ (^ [D:iS]: ((B @ D) | (C @ D))))))) | (~ (B @ c0)))),inference(simp,[status(thm)],[234])).
212.89/51.76 thf(7174,plain,(! [B:(iS > $o),A:iS] : ((B @ (sk1 @ (B))) | (B @ A) | ((sk3 @ c0 @ c0 @ c0) != (B @ c0)))),inference(paramod_ordered,[status(thm)],[7144,1003])).
212.89/51.76 thf(7266,plain,(! [A:iS] : ((sk3 @ c0 @ (sk1 @ (^ [B:iS]: (sk3 @ c0 @ B @ c0))) @ c0) | (sk3 @ c0 @ A @ c0))),inference(pre_uni,[status(thm)],[7174:[bind(A, $thf(A)),bind(B, $thf(^ [C:iS]: (sk3 @ c0 @ C @ c0)))]])).
212.89/51.76 thf(11399,plain,(! [A:iS] : ((sk3 @ c0 @ (sk1 @ (^ [B:iS]: (sk3 @ c0 @ B @ c0))) @ c0) | ((sk3 @ c0 @ A @ c0) != (sk3 @ c0 @ (sk1 @ (^ [B:iS]: (sk3 @ c0 @ B @ c0))) @ c0)) | ~ ($true))),inference(eqfactor_ordered,[status(thm)],[7266])).
212.89/51.76 thf(11446,plain,((sk3 @ c0 @ (sk1 @ (^ [A:iS]: (sk3 @ c0 @ A @ c0))) @ c0)),inference(pattern_uni,[status(thm)],[11399:[bind(A, $thf(sk1 @ (^ [B:iS]: (sk3 @ c0 @ B @ c0))))]])).
212.89/51.76 thf(7185,plain,(! [B:(iS > $o),A:iS] : ((B @ (sk2 @ (B))) | (B @ A) | ((sk3 @ c0 @ c0 @ c0) != (B @ c0)))),inference(paramod_ordered,[status(thm)],[7144,1280])).
212.89/51.76 thf(7225,plain,(! [A:iS] : ((sk3 @ c0 @ (sk2 @ (^ [B:iS]: (sk3 @ c0 @ B @ c0))) @ c0) | (sk3 @ c0 @ A @ c0))),inference(pre_uni,[status(thm)],[7185:[bind(A, $thf(A)),bind(B, $thf(^ [C:iS]: (sk3 @ c0 @ C @ c0)))]])).
212.89/51.76 thf(7491,plain,(! [A:iS] : ((sk3 @ c0 @ (sk2 @ (^ [B:iS]: (sk3 @ c0 @ B @ c0))) @ c0) | ((sk3 @ c0 @ A @ c0) != (sk3 @ c0 @ (sk2 @ (^ [B:iS]: (sk3 @ c0 @ B @ c0))) @ c0)) | ~ ($true))),inference(eqfactor_ordered,[status(thm)],[7225])).
212.89/51.76 thf(7581,plain,((sk3 @ c0 @ (sk2 @ (^ [A:iS]: (sk3 @ c0 @ A @ c0))) @ c0)),inference(pattern_uni,[status(thm)],[7491:[bind(A, $thf(sk2 @ (^ [B:iS]: (sk3 @ c0 @ B @ c0))))]])).
212.89/51.76 thf(564,plain,((~ (sk3 @ c0 @ x @ x)) | (sk3 @ (sk1 @ (^ [A:iS]: (sk3 @ A @ x @ x))) @ x @ x)),inference(pre_uni,[status(thm)],[554:[bind(A, $thf(^ [C:iS]: (sk3 @ C @ x @ x))),bind(B, $thf(x))]])).
212.89/51.76 thf(1064,plain,(~ ($true) | (sk3 @ (sk1 @ (^ [A:iS]: (sk3 @ A @ x @ x))) @ x @ x)),inference(rewrite,[status(thm)],[564,24])).
212.89/51.76 thf(1065,plain,((sk3 @ (sk1 @ (^ [A:iS]: (sk3 @ A @ x @ x))) @ x @ x)),inference(simp,[status(thm)],[1064])).
212.89/51.76 thf(1072,plain,(((sk3 @ (sk1 @ (^ [A:iS]: (sk3 @ A @ x @ x))) @ x @ x) != (sk3 @ (cP @ x @ c0) @ (cP @ x @ y) @ (cP @ x @ y)))),inference(paramod_ordered,[status(thm)],[1065,7])).
212.89/51.76 thf(1087,plain,(((sk1 @ (^ [A:iS]: (sk3 @ A @ x @ x))) != (cP @ x @ c0)) | ((cP @ x @ y) != x) | ((cP @ x @ y) != x)),inference(simp,[status(thm)],[1072])).
212.89/51.76 thf(1104,plain,(((sk1 @ (^ [A:iS]: (sk3 @ A @ x @ x))) != (cP @ x @ c0)) | ((cP @ x @ y) != x)),inference(simp,[status(thm)],[1087])).
212.89/51.76 thf(17486,plain,(((sk3 @ (cP @ (sk1 @ (^ [A:iS]: (sk3 @ A @ A @ A))) @ (sk2 @ (^ [A:iS]: (sk3 @ A @ A @ A)))) @ (cP @ (sk1 @ (^ [A:iS]: (sk3 @ A @ A @ A))) @ (sk2 @ (^ [A:iS]: (sk3 @ A @ A @ A)))) @ (cP @ (sk1 @ (^ [A:iS]: (sk3 @ A @ A @ A))) @ (sk2 @ (^ [A:iS]: (sk3 @ A @ A @ A))))) != (sk3 @ (sk2 @ (^ [A:iS]: (sk3 @ A @ A @ A))) @ (sk2 @ (^ [A:iS]: (sk3 @ A @ A @ A))) @ (sk2 @ (^ [A:iS]: (sk3 @ A @ A @ A)))))),inference(paramod_ordered,[status(thm)],[17482,8607])).
212.89/51.76 thf(17580,plain,(((cP @ (sk1 @ (^ [A:iS]: (sk3 @ A @ A @ A))) @ (sk2 @ (^ [A:iS]: (sk3 @ A @ A @ A)))) != (sk2 @ (^ [A:iS]: (sk3 @ A @ A @ A)))) | ((cP @ (sk1 @ (^ [A:iS]: (sk3 @ A @ A @ A))) @ (sk2 @ (^ [A:iS]: (sk3 @ A @ A @ A)))) != (sk2 @ (^ [A:iS]: (sk3 @ A @ A @ A)))) | ((cP @ (sk1 @ (^ [A:iS]: (sk3 @ A @ A @ A))) @ (sk2 @ (^ [A:iS]: (sk3 @ A @ A @ A)))) != (sk2 @ (^ [A:iS]: (sk3 @ A @ A @ A))))),inference(simp,[status(thm)],[17486])).
212.89/51.76 thf(17619,plain,(((cP @ (sk1 @ (^ [A:iS]: (sk3 @ A @ A @ A))) @ (sk2 @ (^ [A:iS]: (sk3 @ A @ A @ A)))) != (sk2 @ (^ [A:iS]: (sk3 @ A @ A @ A))))),inference(simp,[status(thm)],[17580])).
212.89/51.76 thf(17633,plain,(((cP @ c0 @ (sk2 @ (^ [A:iS]: (sk3 @ A @ A @ A)))) != (sk2 @ (^ [A:iS]: (sk3 @ A @ A @ A)))) | ((sk1 @ (^ [A:iS]: (sk3 @ A @ A @ A))) != (sk1 @ (= @ iS @ c0)))),inference(paramod_ordered,[status(thm)],[117,17619])).
212.89/51.76 thf(17636,plain,(((cP @ c0 @ (sk2 @ (^ [A:iS]: (sk3 @ A @ A @ A)))) != (sk2 @ (^ [A:iS]: (sk3 @ A @ A @ A)))) | ((^ [A:iS]: (sk3 @ A @ A @ A)) != (= @ iS @ c0))),inference(simp,[status(thm)],[17633])).
212.89/51.76 thf(17640,plain,(((cP @ c0 @ c0) != (sk2 @ (^ [A:iS]: (sk3 @ A @ A @ A)))) | ((^ [A:iS]: (sk3 @ A @ A @ A)) != (= @ iS @ c0)) | ((sk2 @ (^ [A:iS]: (sk3 @ A @ A @ A))) != (sk2 @ (= @ iS @ c0)))),inference(paramod_ordered,[status(thm)],[68,17636])).
212.89/51.76 thf(17641,plain,(((cP @ c0 @ c0) != (sk2 @ (^ [A:iS]: (sk3 @ A @ A @ A)))) | ((^ [A:iS]: (sk3 @ A @ A @ A)) != (= @ iS @ c0)) | ((^ [A:iS]: (sk3 @ A @ A @ A)) != (= @ iS @ c0))),inference(simp,[status(thm)],[17640])).
212.89/51.76 thf(17642,plain,(((cP @ c0 @ c0) != (sk2 @ (^ [A:iS]: (sk3 @ A @ A @ A)))) | ((^ [A:iS]: (sk3 @ A @ A @ A)) != (= @ iS @ c0))),inference(simp,[status(thm)],[17641])).
212.89/51.76 thf(1698,plain,(((sk3 @ x @ (cP @ (sk1 @ (^ [A:iS]: (sk3 @ x @ A @ x))) @ (sk2 @ (^ [A:iS]: (sk3 @ x @ A @ x)))) @ x) != (sk3 @ x @ (sk2 @ (^ [A:iS]: (sk3 @ x @ A @ x))) @ x))),inference(paramod_ordered,[status(thm)],[1678,575])).
212.89/51.76 thf(1714,plain,((x != x) | ((cP @ (sk1 @ (^ [A:iS]: (sk3 @ x @ A @ x))) @ (sk2 @ (^ [A:iS]: (sk3 @ x @ A @ x)))) != (sk2 @ (^ [A:iS]: (sk3 @ x @ A @ x)))) | (x != x)),inference(simp,[status(thm)],[1698])).
212.89/51.76 thf(1723,plain,(((cP @ (sk1 @ (^ [A:iS]: (sk3 @ x @ A @ x))) @ (sk2 @ (^ [A:iS]: (sk3 @ x @ A @ x)))) != (sk2 @ (^ [A:iS]: (sk3 @ x @ A @ x))))),inference(simp,[status(thm)],[1714])).
212.89/51.76 thf(12846,plain,(((sk3 @ (cP @ (sk1 @ (^ [A:iS]: (sk3 @ A @ A @ A))) @ (sk2 @ (^ [A:iS]: (sk3 @ A @ A @ A)))) @ (cP @ (sk1 @ (^ [A:iS]: (sk3 @ A @ A @ A))) @ (sk2 @ (^ [A:iS]: (sk3 @ A @ A @ A)))) @ (cP @ (sk1 @ (^ [A:iS]: (sk3 @ A @ A @ A))) @ (sk2 @ (^ [A:iS]: (sk3 @ A @ A @ A))))) != (sk3 @ (sk1 @ (^ [A:iS]: (sk3 @ A @ A @ A))) @ (sk1 @ (^ [A:iS]: (sk3 @ A @ A @ A))) @ (sk1 @ (^ [A:iS]: (sk3 @ A @ A @ A)))))),inference(paramod_ordered,[status(thm)],[12837,8607])).
212.89/51.76 thf(12925,plain,(((cP @ (sk1 @ (^ [A:iS]: (sk3 @ A @ A @ A))) @ (sk2 @ (^ [A:iS]: (sk3 @ A @ A @ A)))) != (sk1 @ (^ [A:iS]: (sk3 @ A @ A @ A)))) | ((cP @ (sk1 @ (^ [A:iS]: (sk3 @ A @ A @ A))) @ (sk2 @ (^ [A:iS]: (sk3 @ A @ A @ A)))) != (sk1 @ (^ [A:iS]: (sk3 @ A @ A @ A)))) | ((cP @ (sk1 @ (^ [A:iS]: (sk3 @ A @ A @ A))) @ (sk2 @ (^ [A:iS]: (sk3 @ A @ A @ A)))) != (sk1 @ (^ [A:iS]: (sk3 @ A @ A @ A))))),inference(simp,[status(thm)],[12846])).
212.89/51.76 thf(12970,plain,(((cP @ (sk1 @ (^ [A:iS]: (sk3 @ A @ A @ A))) @ (sk2 @ (^ [A:iS]: (sk3 @ A @ A @ A)))) != (sk1 @ (^ [A:iS]: (sk3 @ A @ A @ A))))),inference(simp,[status(thm)],[12925])).
212.89/51.76 thf(7226,plain,(! [A:iS] : ((sk3 @ (sk2 @ (^ [B:iS]: (sk3 @ B @ c0 @ c0))) @ c0 @ c0) | (sk3 @ A @ c0 @ c0))),inference(pre_uni,[status(thm)],[7185:[bind(A, $thf(A)),bind(B, $thf(^ [C:iS]: (sk3 @ C @ c0 @ c0)))]])).
212.89/51.76 thf(9090,plain,(! [A:iS] : ((sk3 @ (sk2 @ (^ [B:iS]: (sk3 @ B @ c0 @ c0))) @ c0 @ c0) | ((sk3 @ A @ c0 @ c0) != (sk3 @ (sk2 @ (^ [B:iS]: (sk3 @ B @ c0 @ c0))) @ c0 @ c0)) | ~ ($true))),inference(eqfactor_ordered,[status(thm)],[7226])).
212.89/51.76 thf(9158,plain,((sk3 @ (sk2 @ (^ [A:iS]: (sk3 @ A @ c0 @ c0))) @ c0 @ c0)),inference(pattern_uni,[status(thm)],[9090:[bind(A, $thf(sk2 @ (^ [B:iS]: (sk3 @ B @ c0 @ c0))))]])).
212.89/51.76 thf(147,plain,(! [D:iS,C:(iS > $o),B:iS,A:(iS > $o)] : ((~ (A @ c0)) | (~ (A @ (cP @ (sk1 @ (A)) @ (sk2 @ (A))))) | (~ (C @ c0)) | (C @ D) | ((A @ B) != (C @ (cP @ (sk1 @ (C)) @ (sk2 @ (C))))))),inference(paramod_ordered,[status(thm)],[20,20])).
212.89/51.76 thf(196,plain,(! [D:iS,C:(iS > $o),B:iS,A:(iS > $o)] : ((~ (A @ c0)) | (~ (A @ (cP @ (sk1 @ (A)) @ (sk2 @ (A))))) | (~ (C @ c0)) | (C @ D) | ((A @ B) != (C @ (cP @ (sk1 @ (C)) @ (sk2 @ (C))))))),inference(pre_uni,[status(thm)],[147:[]])).
212.89/51.76 thf(197,plain,(! [D:iS,C:(iS > $o),B:iS,A:(iS > $o)] : ((C @ D) | (~ (C @ c0)) | (~ (A @ (cP @ (sk1 @ (A)) @ (sk2 @ (A))))) | (~ (A @ c0)) | ((A @ B) != (C @ (cP @ (sk1 @ (C)) @ (sk2 @ (C))))))),inference(pre_uni,[status(thm)],[196:[]])).
212.89/51.76 thf(8602,plain,((~ (sk3 @ (cP @ (sk1 @ (^ [A:iS]: (sk3 @ A @ x @ x))) @ (sk2 @ (^ [A:iS]: (sk3 @ A @ x @ x)))) @ x @ x)) | (x != x)),inference(pre_uni,[status(thm)],[8407:[bind(A, $thf(x)),bind(B, $thf(^ [D:iS]: (x))),bind(C, $thf(^ [D:iS]: (x)))]])).
212.89/51.76 thf(8606,plain,((~ (sk3 @ (cP @ (sk1 @ (^ [A:iS]: (sk3 @ A @ x @ x))) @ (sk2 @ (^ [A:iS]: (sk3 @ A @ x @ x)))) @ x @ x))),inference(pattern_uni,[status(thm)],[8602:[]])).
212.89/51.76 thf(8919,plain,(((sk3 @ (cP @ (sk1 @ (^ [A:iS]: (sk3 @ A @ x @ x))) @ (sk2 @ (^ [A:iS]: (sk3 @ A @ x @ x)))) @ x @ x) != (sk3 @ (sk1 @ (^ [A:iS]: (sk3 @ A @ x @ x))) @ x @ x))),inference(paramod_ordered,[status(thm)],[1065,8606])).
212.89/51.76 thf(8929,plain,(((cP @ (sk1 @ (^ [A:iS]: (sk3 @ A @ x @ x))) @ (sk2 @ (^ [A:iS]: (sk3 @ A @ x @ x)))) != (sk1 @ (^ [A:iS]: (sk3 @ A @ x @ x)))) | (x != x) | (x != x)),inference(simp,[status(thm)],[8919])).
212.89/51.76 thf(8964,plain,(((cP @ (sk1 @ (^ [A:iS]: (sk3 @ A @ x @ x))) @ (sk2 @ (^ [A:iS]: (sk3 @ A @ x @ x)))) != (sk1 @ (^ [A:iS]: (sk3 @ A @ x @ x))))),inference(simp,[status(thm)],[8929])).
212.89/51.76 thf(17635,plain,(((cP @ (sk1 @ (^ [A:iS]: (sk3 @ A @ A @ A))) @ c0) != (sk2 @ (^ [A:iS]: (sk3 @ A @ A @ A)))) | ((sk2 @ (^ [A:iS]: (sk3 @ A @ A @ A))) != (sk2 @ (= @ iS @ c0)))),inference(paramod_ordered,[status(thm)],[68,17619])).
212.89/51.76 thf(17638,plain,(((cP @ (sk1 @ (^ [A:iS]: (sk3 @ A @ A @ A))) @ c0) != (sk2 @ (^ [A:iS]: (sk3 @ A @ A @ A)))) | ((^ [A:iS]: (sk3 @ A @ A @ A)) != (= @ iS @ c0))),inference(simp,[status(thm)],[17635])).
212.89/51.76 thf(563,plain,((~ (sk3 @ x @ c0 @ x)) | (sk3 @ x @ (sk1 @ (^ [A:iS]: (sk3 @ x @ A @ x))) @ x)),inference(pre_uni,[status(thm)],[554:[bind(A, $thf(^ [C:iS]: (sk3 @ x @ C @ x))),bind(B, $thf(x))]])).
212.89/51.76 thf(817,plain,(~ ($true) | (sk3 @ x @ (sk1 @ (^ [A:iS]: (sk3 @ x @ A @ x))) @ x)),inference(rewrite,[status(thm)],[563,22])).
212.89/51.76 thf(818,plain,((sk3 @ x @ (sk1 @ (^ [A:iS]: (sk3 @ x @ A @ x))) @ x)),inference(simp,[status(thm)],[817])).
212.89/51.76 thf(832,plain,(((sk3 @ x @ (cP @ (sk1 @ (^ [A:iS]: (sk3 @ x @ A @ x))) @ (sk2 @ (^ [A:iS]: (sk3 @ x @ A @ x)))) @ x) != (sk3 @ x @ (sk1 @ (^ [A:iS]: (sk3 @ x @ A @ x))) @ x))),inference(paramod_ordered,[status(thm)],[818,575])).
212.89/51.76 thf(837,plain,((x != x) | ((cP @ (sk1 @ (^ [A:iS]: (sk3 @ x @ A @ x))) @ (sk2 @ (^ [A:iS]: (sk3 @ x @ A @ x)))) != (sk1 @ (^ [A:iS]: (sk3 @ x @ A @ x)))) | (x != x)),inference(simp,[status(thm)],[832])).
212.89/51.76 thf(842,plain,(((cP @ (sk1 @ (^ [A:iS]: (sk3 @ x @ A @ x))) @ (sk2 @ (^ [A:iS]: (sk3 @ x @ A @ x)))) != (sk1 @ (^ [A:iS]: (sk3 @ x @ A @ x))))),inference(simp,[status(thm)],[837])).
212.89/51.76 thf(358,plain,(! [D:iS,C:(iS > $o),B:iS,A:(iS > $o)] : ((~ (A @ c0)) | (A @ B) | (C @ (sk1 @ (C))) | (C @ D) | ((A @ (sk1 @ (A))) != (C @ c0)))),inference(paramod_ordered,[status(thm)],[27,27])).
212.89/51.76 thf(381,plain,(! [C:iS,B:(iS > $o),A:iS] : ((~ (c0 = c0)) | (c0 = A) | (B @ (sk1 @ (B))) | (B @ C) | ((c0 = (sk1 @ (= @ iS @ c0))) != (B @ c0)))),inference(replace_leibeq,[status(thm)],[358:[bind(A, $thf(= @ iS @ c0))]])).
212.89/51.76 thf(389,plain,(! [C:iS,B:(iS > $o),A:iS] : ((c0 != c0) | (c0 = A) | (B @ (sk1 @ (B))) | (B @ C) | ((c0 = (sk1 @ (= @ iS @ c0))) != (B @ c0)))),inference(lifteq,[status(thm)],[381])).
212.89/51.76 thf(412,plain,(! [B:iS,A:iS] : ((c0 = (sk1 @ (= @ iS @ B))) | (c0 = (sk1 @ (= @ iS @ (sk1 @ (^ [C:iS]: (c0 = (sk1 @ (= @ iS @ C)))))))) | (c0 = A))),inference(pre_uni,[status(thm)],[389:[bind(A, $thf(A)),bind(B, $thf(^ [D:iS]: (c0 = (sk1 @ (= @ iS @ D))))),bind(C, $thf(C))]])).
212.89/51.76 thf(453,plain,(! [B:iS,A:iS] : (((sk1 @ (= @ iS @ B)) = c0) | ((sk1 @ (= @ iS @ (sk1 @ (^ [C:iS]: (c0 = (sk1 @ (= @ iS @ C))))))) = c0) | (c0 = A))),inference(lifteq,[status(thm)],[412])).
212.89/51.76 thf(454,plain,(! [B:iS,A:iS] : (((sk1 @ (= @ iS @ B)) = c0) | ((sk1 @ (= @ iS @ (sk1 @ (^ [C:iS]: (c0 = (sk1 @ (= @ iS @ C))))))) = c0) | (c0 = A))),inference(simp,[status(thm)],[453])).
212.89/51.76 thf(2928,plain,(! [B:iS,A:iS] : (((sk1 @ (= @ iS @ B)) = c0) | (c0 = A) | ((sk1 @ (= @ iS @ (sk1 @ (^ [C:iS]: (c0 = (sk1 @ (= @ iS @ C))))))) != (sk1 @ (= @ iS @ B))) | (c0 != c0))),inference(eqfactor_ordered,[status(thm)],[454])).
212.89/51.76 thf(2991,plain,(! [A:iS] : (((sk1 @ (= @ iS @ (sk1 @ (^ [B:iS]: (c0 = (sk1 @ (= @ iS @ B))))))) = c0) | (c0 = A))),inference(pattern_uni,[status(thm)],[2928:[bind(A, $thf(A)),bind(B, $thf(sk1 @ (^ [C:iS]: (c0 = (sk1 @ (= @ iS @ C))))))]])).
212.89/51.76 thf(3466,plain,(! [C:iS,B:iS,A:iS] : (((sk1 @ (= @ iS @ (sk1 @ (^ [D:iS]: (c0 = (sk1 @ (= @ iS @ D))))))) = c0) | (A != (cP @ B @ C)))),inference(paramod_ordered,[status(thm)],[2991,26])).
212.89/51.76 thf(3467,plain,(((sk1 @ (= @ iS @ (sk1 @ (^ [A:iS]: (c0 = (sk1 @ (= @ iS @ A))))))) = c0)),inference(pattern_uni,[status(thm)],[3466:[bind(A, $thf(cP @ D @ E)),bind(B, $thf(D)),bind(C, $thf(E))]])).
212.89/51.76 thf(908,plain,(! [B:(iS > $o),A:iS] : ((~ (B @ A)) | (B @ c0) | (~ (B @ (sk1 @ (^ [C:iS]: ~ (B @ C))))) | (~ (B @ A)))),inference(eqfactor_ordered,[status(thm)],[463])).
212.89/51.76 thf(921,plain,(! [A:iS] : ((~ (A = A)) | (A = c0) | (~ (A = (sk1 @ (^ [B:iS]: ~ (A = B))))) | (~ (A = A)))),inference(replace_leibeq,[status(thm)],[908:[bind(A, $thf(A)),bind(B, $thf(= @ iS @ A))]])).
212.89/51.76 thf(938,plain,(! [A:iS] : ((A != A) | (A = c0) | (A != (sk1 @ (^ [B:iS]: ~ (A = B)))) | (A != A))),inference(lifteq,[status(thm)],[921])).
212.89/51.76 thf(1017,plain,(! [A:iS] : ((A = c0) | (A != (sk1 @ (^ [B:iS]: ~ (A = B)))))),inference(simp,[status(thm)],[938])).
212.89/51.76 thf(1070,plain,(((sk3 @ (sk1 @ (^ [A:iS]: (sk3 @ A @ x @ x))) @ x @ x) != (sk3 @ x @ x @ x))),inference(paramod_ordered,[status(thm)],[1065,548])).
212.89/51.76 thf(1089,plain,(((sk1 @ (^ [A:iS]: (sk3 @ A @ x @ x))) != x) | (x != x) | (x != x)),inference(simp,[status(thm)],[1070])).
212.89/51.76 thf(1096,plain,(((sk1 @ (^ [A:iS]: (sk3 @ A @ x @ x))) != x)),inference(simp,[status(thm)],[1089])).
212.89/51.76 thf(12842,plain,(((sk3 @ (sk1 @ (^ [A:iS]: (sk3 @ A @ A @ A))) @ (sk1 @ (^ [A:iS]: (sk3 @ A @ A @ A))) @ (sk1 @ (^ [A:iS]: (sk3 @ A @ A @ A)))) != (sk3 @ x @ x @ x))),inference(paramod_ordered,[status(thm)],[12837,548])).
212.89/51.76 thf(12934,plain,(((sk1 @ (^ [A:iS]: (sk3 @ A @ A @ A))) != x) | ((sk1 @ (^ [A:iS]: (sk3 @ A @ A @ A))) != x) | ((sk1 @ (^ [A:iS]: (sk3 @ A @ A @ A))) != x)),inference(simp,[status(thm)],[12842])).
212.89/51.76 thf(12950,plain,(((sk1 @ (^ [A:iS]: (sk3 @ A @ A @ A))) != x)),inference(simp,[status(thm)],[12934])).
212.89/51.76 thf(162,plain,(! [C:iS,B:(iS > $o),A:iS] : ((~ (B @ (cP @ (sk1 @ (B)) @ (sk2 @ (B))))) | (B @ C) | ((sk3 @ A @ c0 @ A) != (B @ c0)))),inference(paramod_ordered,[status(thm)],[22,20])).
212.89/51.76 thf(209,plain,(! [C:(iS > iS),B:(iS > iS),A:iS] : ((~ (sk3 @ (B @ (cP @ (sk1 @ (^ [D:iS]: (sk3 @ (B @ D) @ c0 @ (C @ D)))) @ (sk2 @ (^ [D:iS]: (sk3 @ (B @ D) @ c0 @ (C @ D)))))) @ c0 @ (C @ (cP @ (sk1 @ (^ [D:iS]: (sk3 @ (B @ D) @ c0 @ (C @ D)))) @ (sk2 @ (^ [D:iS]: (sk3 @ (B @ D) @ c0 @ (C @ D)))))))) | (sk3 @ (B @ A) @ c0 @ (C @ A)) | ((B @ c0) != (C @ c0)))),inference(pre_uni,[status(thm)],[162:[bind(A, $thf(D @ c0)),bind(B, $thf(^ [F:iS]: (sk3 @ (D @ F) @ c0 @ (F @ F)))),bind(C, $thf(C))]])).
212.89/51.76 thf(211,plain,(! [C:(iS > iS),B:(iS > iS),A:iS] : ((sk3 @ (B @ A) @ c0 @ (C @ A)) | (~ (sk3 @ (B @ (cP @ (sk1 @ (^ [D:iS]: (sk3 @ (B @ D) @ c0 @ (C @ D)))) @ (sk2 @ (^ [D:iS]: (sk3 @ (B @ D) @ c0 @ (C @ D)))))) @ c0 @ (C @ (cP @ (sk1 @ (^ [D:iS]: (sk3 @ (B @ D) @ c0 @ (C @ D)))) @ (sk2 @ (^ [D:iS]: (sk3 @ (B @ D) @ c0 @ (C @ D)))))))) | ((B @ c0) != (C @ c0)))),inference(pre_uni,[status(thm)],[209:[]])).
212.89/51.76 thf(225,plain,(! [C:(iS > iS),B:(iS > iS),A:iS] : ((sk3 @ (B @ A) @ c0 @ (C @ A)) | (~ (sk3 @ (B @ (cP @ (sk1 @ (^ [D:iS]: (sk3 @ (B @ D) @ c0 @ (C @ D)))) @ (sk2 @ (^ [D:iS]: (sk3 @ (B @ D) @ c0 @ (C @ D)))))) @ c0 @ (C @ (cP @ (sk1 @ (^ [D:iS]: (sk3 @ (B @ D) @ c0 @ (C @ D)))) @ (sk2 @ (^ [D:iS]: (sk3 @ (B @ D) @ c0 @ (C @ D)))))))) | ((B @ c0) != (C @ c0)))),inference(simp,[status(thm)],[211])).
212.89/51.76 thf(10030,plain,(! [A:iS] : (((sk3 @ c0 @ A @ A) != (sk3 @ (cP @ (sk1 @ (^ [B:iS]: (sk3 @ B @ B @ B))) @ (sk2 @ (^ [B:iS]: (sk3 @ B @ B @ B)))) @ (cP @ (sk1 @ (^ [B:iS]: (sk3 @ B @ B @ B))) @ (sk2 @ (^ [B:iS]: (sk3 @ B @ B @ B)))) @ (cP @ (sk1 @ (^ [B:iS]: (sk3 @ B @ B @ B))) @ (sk2 @ (^ [B:iS]: (sk3 @ B @ B @ B)))))))),inference(paramod_ordered,[status(thm)],[24,8607])).
212.89/51.76 thf(10099,plain,(! [A:iS] : (((cP @ (sk1 @ (^ [B:iS]: (sk3 @ B @ B @ B))) @ (sk2 @ (^ [B:iS]: (sk3 @ B @ B @ B)))) != c0) | (A != (cP @ (sk1 @ (^ [B:iS]: (sk3 @ B @ B @ B))) @ (sk2 @ (^ [B:iS]: (sk3 @ B @ B @ B))))) | (A != (cP @ (sk1 @ (^ [B:iS]: (sk3 @ B @ B @ B))) @ (sk2 @ (^ [B:iS]: (sk3 @ B @ B @ B))))))),inference(simp,[status(thm)],[10030])).
212.89/51.76 thf(10120,plain,(((cP @ (sk1 @ (^ [A:iS]: (sk3 @ A @ A @ A))) @ (sk2 @ (^ [A:iS]: (sk3 @ A @ A @ A)))) != c0)),inference(simp,[status(thm)],[10099])).
212.89/51.76 thf(233,plain,(! [C:(iS > $o),B:(iS > $o),A:iS] : ((B @ A) | (C @ A) | (~ (C @ (cP @ (sk1 @ (^ [D:iS]: ((B @ D) | (C @ D)))) @ (sk2 @ (^ [D:iS]: ((B @ D) | (C @ D))))))) | (~ (C @ c0)))),inference(cnf,[status(esa)],[168])).
212.89/51.76 thf(237,plain,(! [C:(iS > $o),B:(iS > $o),A:iS] : ((B @ A) | (C @ A) | (~ (C @ (cP @ (sk1 @ (^ [D:iS]: ((B @ D) | (C @ D)))) @ (sk2 @ (^ [D:iS]: ((B @ D) | (C @ D))))))) | (~ (C @ c0)))),inference(simp,[status(thm)],[233])).
212.89/51.76 thf(12979,plain,(((cP @ c0 @ (sk2 @ (^ [A:iS]: (sk3 @ A @ A @ A)))) != (sk1 @ (^ [A:iS]: (sk3 @ A @ A @ A)))) | ((sk1 @ (^ [A:iS]: (sk3 @ A @ A @ A))) != (sk1 @ (= @ iS @ c0)))),inference(paramod_ordered,[status(thm)],[117,12970])).
212.89/51.76 thf(12982,plain,(((cP @ c0 @ (sk2 @ (^ [A:iS]: (sk3 @ A @ A @ A)))) != (sk1 @ (^ [A:iS]: (sk3 @ A @ A @ A)))) | ((^ [A:iS]: (sk3 @ A @ A @ A)) != (= @ iS @ c0))),inference(simp,[status(thm)],[12979])).
212.89/51.76 thf(11,plain,(! [D:iS,C:iS,B:iS,A:iS] : ((~ ((cP @ A @ C) = (cP @ B @ D))) | (A = B))),inference(cnf,[status(esa)],[4])).
212.89/51.76 thf(34,plain,(! [D:iS,C:iS,B:iS,A:iS] : (((cP @ A @ C) != (cP @ B @ D)) | (A = B))),inference(lifteq,[status(thm)],[11])).
212.89/51.76 thf(177,plain,(! [B:iS,A:iS] : ((~ (c0 = c0)) | (c0 = B) | ((sk3 @ A @ c0 @ A) != (c0 = (cP @ (sk1 @ (= @ iS @ c0)) @ (sk2 @ (= @ iS @ c0))))))),inference(replace_leibeq,[status(thm)],[163:[bind(A, $thf(A)),bind(B, $thf(= @ iS @ c0))]])).
212.89/51.76 thf(185,plain,(! [B:iS,A:iS] : ((c0 != c0) | (c0 = B) | ((sk3 @ A @ c0 @ A) != (c0 = (cP @ (sk1 @ (= @ iS @ c0)) @ (sk2 @ (= @ iS @ c0))))))),inference(lifteq,[status(thm)],[177])).
212.89/51.76 thf(243,plain,(! [B:iS,A:iS] : ((c0 = B) | ((sk3 @ A @ c0 @ A) != (c0 = (cP @ (sk1 @ (= @ iS @ c0)) @ (sk2 @ (= @ iS @ c0))))))),inference(simp,[status(thm)],[185])).
212.89/51.76 thf(18709,plain,(! [B:iS,A:iS] : ((c0 = B) | ((sk3 @ A @ c0 @ A) != (c0 = (cP @ c0 @ c0))))),inference(rewrite,[status(thm)],[243,68,117])).
212.89/51.76 thf(3132,plain,((~ (sk3 @ c0 @ c0 @ x)) | ((sk3 @ (sk1 @ (^ [A:iS]: (sk3 @ A @ A @ x))) @ (sk1 @ (^ [A:iS]: (sk3 @ A @ A @ x))) @ x) != (sk3 @ x @ x @ x))),inference(paramod_ordered,[status(thm)],[565,548])).
212.89/51.76 thf(3242,plain,((~ (sk3 @ c0 @ c0 @ x)) | ((sk1 @ (^ [A:iS]: (sk3 @ A @ A @ x))) != x) | ((sk1 @ (^ [A:iS]: (sk3 @ A @ A @ x))) != x) | (x != x)),inference(simp,[status(thm)],[3132])).
212.89/51.76 thf(3262,plain,((~ (sk3 @ c0 @ c0 @ x)) | ((sk1 @ (^ [A:iS]: (sk3 @ A @ A @ x))) != x)),inference(simp,[status(thm)],[3242])).
212.89/51.76 thf(40,plain,(! [A:iS] : (((sk3 @ c0 @ A @ A) != (sk3 @ (cP @ x @ c0) @ (cP @ x @ y) @ (cP @ x @ y))))),inference(paramod_ordered,[status(thm)],[24,7])).
212.89/51.76 thf(42,plain,(! [A:iS] : (((cP @ x @ c0) != c0) | (A != (cP @ x @ y)) | (A != (cP @ x @ y)))),inference(simp,[status(thm)],[40])).
212.89/51.76 thf(44,plain,(((cP @ x @ c0) != c0)),inference(simp,[status(thm)],[42])).
212.89/51.76 thf(822,plain,(((sk3 @ x @ (sk1 @ (^ [A:iS]: (sk3 @ x @ A @ x))) @ x) != (sk3 @ x @ x @ x))),inference(paramod_ordered,[status(thm)],[818,548])).
212.89/51.76 thf(839,plain,((x != x) | ((sk1 @ (^ [A:iS]: (sk3 @ x @ A @ x))) != x) | (x != x)),inference(simp,[status(thm)],[822])).
212.89/51.76 thf(843,plain,(((sk1 @ (^ [A:iS]: (sk3 @ x @ A @ x))) != x)),inference(simp,[status(thm)],[839])).
212.89/51.76 thf(1748,plain,(((sk3 @ (sk2 @ (^ [A:iS]: (sk3 @ A @ x @ x))) @ x @ x) != (sk3 @ (cP @ x @ c0) @ (cP @ x @ y) @ (cP @ x @ y)))),inference(paramod_ordered,[status(thm)],[1740,7])).
212.89/51.76 thf(1775,plain,(((sk2 @ (^ [A:iS]: (sk3 @ A @ x @ x))) != (cP @ x @ c0)) | ((cP @ x @ y) != x) | ((cP @ x @ y) != x)),inference(simp,[status(thm)],[1748])).
212.89/51.76 thf(1786,plain,(((sk2 @ (^ [A:iS]: (sk3 @ A @ x @ x))) != (cP @ x @ c0)) | ((cP @ x @ y) != x)),inference(simp,[status(thm)],[1775])).
212.89/51.76 thf(232,plain,(! [C:(iS > $o),B:(iS > $o),A:iS] : ((B @ A) | (C @ A) | (~ (B @ (cP @ (sk1 @ (^ [D:iS]: ((B @ D) | (C @ D)))) @ (sk2 @ (^ [D:iS]: ((B @ D) | (C @ D))))))) | (~ (B @ c0)))),inference(cnf,[status(esa)],[168])).
212.89/51.76 thf(236,plain,(! [C:(iS > $o),B:(iS > $o),A:iS] : ((B @ A) | (C @ A) | (~ (B @ (cP @ (sk1 @ (^ [D:iS]: ((B @ D) | (C @ D)))) @ (sk2 @ (^ [D:iS]: ((B @ D) | (C @ D))))))) | (~ (B @ c0)))),inference(simp,[status(thm)],[232])).
212.89/51.76 thf(8894,plain,(! [A:iS] : (((sk3 @ c0 @ A @ A) != (sk3 @ (cP @ (sk1 @ (^ [B:iS]: (sk3 @ B @ x @ x))) @ (sk2 @ (^ [B:iS]: (sk3 @ B @ x @ x)))) @ x @ x)))),inference(paramod_ordered,[status(thm)],[24,8606])).
212.89/51.76 thf(8947,plain,(! [A:iS] : (((cP @ (sk1 @ (^ [B:iS]: (sk3 @ B @ x @ x))) @ (sk2 @ (^ [B:iS]: (sk3 @ B @ x @ x)))) != c0) | (A != x) | (A != x))),inference(simp,[status(thm)],[8894])).
212.89/51.76 thf(8970,plain,(((cP @ (sk1 @ (^ [A:iS]: (sk3 @ A @ x @ x))) @ (sk2 @ (^ [A:iS]: (sk3 @ A @ x @ x)))) != c0)),inference(simp,[status(thm)],[8947])).
212.89/51.76 thf(159,plain,(! [B:iS,A:(iS > $o)] : ((~ (A @ c0)) | (~ (A @ (cP @ (sk1 @ (A)) @ (sk2 @ (A))))) | ((A @ B) != (sk3 @ (cP @ x @ c0) @ (cP @ x @ y) @ (cP @ x @ y))))),inference(paramod_ordered,[status(thm)],[20,7])).
212.89/51.76 thf(208,plain,((~ (sk3 @ (cP @ x @ c0) @ c0 @ c0)) | (~ (sk3 @ (cP @ x @ c0) @ (cP @ (sk1 @ (^ [A:iS]: (sk3 @ (cP @ x @ c0) @ A @ A))) @ (sk2 @ (^ [A:iS]: (sk3 @ (cP @ x @ c0) @ A @ A)))) @ (cP @ (sk1 @ (^ [A:iS]: (sk3 @ (cP @ x @ c0) @ A @ A))) @ (sk2 @ (^ [A:iS]: (sk3 @ (cP @ x @ c0) @ A @ A))))))),inference(pre_uni,[status(thm)],[159:[bind(A, $thf(^ [C:iS]: (sk3 @ (cP @ x @ c0) @ C @ C))),bind(B, $thf(cP @ x @ y))]])).
212.89/51.76 thf(1689,plain,(((^ [A:iS]: (sk3 @ x @ A @ x)) != (= @ iS @ c0)) | ((sk3 @ x @ (sk2 @ (^ [A:iS]: (sk3 @ x @ A @ x))) @ x) != (sk3 @ x @ (cP @ c0 @ c0) @ x))),inference(paramod_ordered,[status(thm)],[1678,883])).
212.89/51.76 thf(1713,plain,(((^ [A:iS]: (sk3 @ x @ A @ x)) != (= @ iS @ c0)) | (x != x) | ((sk2 @ (^ [A:iS]: (sk3 @ x @ A @ x))) != (cP @ c0 @ c0)) | (x != x)),inference(simp,[status(thm)],[1689])).
212.89/51.76 thf(1722,plain,(((^ [A:iS]: (sk3 @ x @ A @ x)) != (= @ iS @ c0)) | ((sk2 @ (^ [A:iS]: (sk3 @ x @ A @ x))) != (cP @ c0 @ c0))),inference(simp,[status(thm)],[1713])).
212.89/51.76 thf(166,plain,(! [B:iS,A:(iS > $o)] : ((~ (A @ c0)) | (~ (A @ (cP @ (sk1 @ (A)) @ (sk2 @ (A))))) | ((A @ B) != (~ (A @ c0))) | ~ ($true))),inference(eqfactor_ordered,[status(thm)],[20])).
212.89/51.76 thf(198,plain,(! [B:iS,A:(iS > $o)] : ((~ (A @ c0)) | (~ (A @ (cP @ (sk1 @ (A)) @ (sk2 @ (A))))) | ((A @ B) != (~ (A @ c0))))),inference(simp,[status(thm)],[166])).
212.89/51.76 thf(204,plain,(! [C:(iS > iS),B:(iS > iS),A:iS] : ((~ (sk3 @ c0 @ (B @ (cP @ (sk1 @ (^ [D:iS]: (sk3 @ c0 @ (B @ D) @ (C @ D)))) @ (sk2 @ (^ [D:iS]: (sk3 @ c0 @ (B @ D) @ (C @ D)))))) @ (C @ (cP @ (sk1 @ (^ [D:iS]: (sk3 @ c0 @ (B @ D) @ (C @ D)))) @ (sk2 @ (^ [D:iS]: (sk3 @ c0 @ (B @ D) @ (C @ D)))))))) | (sk3 @ c0 @ (B @ A) @ (C @ A)) | ((B @ c0) != (C @ c0)))),inference(pre_uni,[status(thm)],[144:[bind(A, $thf(E @ c0)),bind(B, $thf(^ [F:iS]: (sk3 @ c0 @ (E @ F) @ (F @ F)))),bind(C, $thf(C))]])).
212.89/51.76 thf(206,plain,(! [C:(iS > iS),B:(iS > iS),A:iS] : ((sk3 @ c0 @ (B @ A) @ (C @ A)) | (~ (sk3 @ c0 @ (B @ (cP @ (sk1 @ (^ [D:iS]: (sk3 @ c0 @ (B @ D) @ (C @ D)))) @ (sk2 @ (^ [D:iS]: (sk3 @ c0 @ (B @ D) @ (C @ D)))))) @ (C @ (cP @ (sk1 @ (^ [D:iS]: (sk3 @ c0 @ (B @ D) @ (C @ D)))) @ (sk2 @ (^ [D:iS]: (sk3 @ c0 @ (B @ D) @ (C @ D)))))))) | ((B @ c0) != (C @ c0)))),inference(pre_uni,[status(thm)],[204:[]])).
212.89/51.76 thf(223,plain,(! [C:(iS > iS),B:(iS > iS),A:iS] : ((sk3 @ c0 @ (B @ A) @ (C @ A)) | (~ (sk3 @ c0 @ (B @ (cP @ (sk1 @ (^ [D:iS]: (sk3 @ c0 @ (B @ D) @ (C @ D)))) @ (sk2 @ (^ [D:iS]: (sk3 @ c0 @ (B @ D) @ (C @ D)))))) @ (C @ (cP @ (sk1 @ (^ [D:iS]: (sk3 @ c0 @ (B @ D) @ (C @ D)))) @ (sk2 @ (^ [D:iS]: (sk3 @ c0 @ (B @ D) @ (C @ D)))))))) | ((B @ c0) != (C @ c0)))),inference(simp,[status(thm)],[206])).
212.89/51.76 thf(172,plain,(! [B:(iS > $o),A:iS] : ((~ (~ (B @ c0))) | (~ (~ (B @ (cP @ (sk1 @ (^ [C:iS]: ~ (B @ C))) @ (sk2 @ (^ [C:iS]: ~ (B @ C))))))) | (~ (B @ A)))),inference(prim_subst,[status(thm)],[20:[bind(A, $thf(^ [D:iS]: ~ (C @ D)))]])).
212.89/51.76 thf(240,plain,(! [B:(iS > $o),A:iS] : ((~ (B @ A)) | (B @ (cP @ (sk1 @ (^ [C:iS]: ~ (B @ C))) @ (sk2 @ (^ [C:iS]: ~ (B @ C))))) | (B @ c0))),inference(cnf,[status(esa)],[172])).
212.89/51.76 thf(241,plain,(! [B:(iS > $o),A:iS] : ((~ (B @ A)) | (B @ (cP @ (sk1 @ (^ [C:iS]: ~ (B @ C))) @ (sk2 @ (^ [C:iS]: ~ (B @ C))))) | (B @ c0))),inference(simp,[status(thm)],[240])).
212.89/51.76 thf(35,plain,(! [B:iS,A:iS] : (((sk5 @ A @ (cP @ B @ A)) = B))),introduced(tautology,[new_symbols(inverse(cP),[sk5])])).
212.89/51.76 thf(13772,plain,((sk3 @ (sk1 @ (^ [A:iS]: (sk3 @ A @ A @ A))) @ c0 @ c0) | ((^ [A:iS]: (sk3 @ A @ A @ A)) != (= @ iS @ c0)) | ((sk1 @ (^ [A:iS]: (sk3 @ A @ A @ A))) != (sk1 @ (= @ iS @ c0)))),inference(paramod_ordered,[status(thm)],[117,12940])).
212.89/51.76 thf(13852,plain,((sk3 @ (sk1 @ (^ [A:iS]: (sk3 @ A @ A @ A))) @ c0 @ c0) | ((^ [A:iS]: (sk3 @ A @ A @ A)) != (= @ iS @ c0)) | ((^ [A:iS]: (sk3 @ A @ A @ A)) != (= @ iS @ c0))),inference(simp,[status(thm)],[13772])).
212.89/51.76 thf(13889,plain,((sk3 @ (sk1 @ (^ [A:iS]: (sk3 @ A @ A @ A))) @ c0 @ c0) | ((^ [A:iS]: (sk3 @ A @ A @ A)) != (= @ iS @ c0))),inference(simp,[status(thm)],[13852])).
212.89/51.76 thf(210,plain,(! [C:(iS > iS),B:(iS > iS),A:iS] : ((~ (sk3 @ (B @ (cP @ (sk1 @ (^ [D:iS]: (sk3 @ (B @ D) @ D @ (C @ D)))) @ (sk2 @ (^ [D:iS]: (sk3 @ (B @ D) @ D @ (C @ D)))))) @ (cP @ (sk1 @ (^ [D:iS]: (sk3 @ (B @ D) @ D @ (C @ D)))) @ (sk2 @ (^ [D:iS]: (sk3 @ (B @ D) @ D @ (C @ D))))) @ (C @ (cP @ (sk1 @ (^ [D:iS]: (sk3 @ (B @ D) @ D @ (C @ D)))) @ (sk2 @ (^ [D:iS]: (sk3 @ (B @ D) @ D @ (C @ D)))))))) | (sk3 @ (B @ A) @ A @ (C @ A)) | ((B @ c0) != (C @ c0)))),inference(pre_uni,[status(thm)],[162:[bind(A, $thf(D @ c0)),bind(B, $thf(^ [F:iS]: (sk3 @ (D @ F) @ F @ (F @ F)))),bind(C, $thf(C))]])).
212.89/51.76 thf(212,plain,(! [C:(iS > iS),B:(iS > iS),A:iS] : ((sk3 @ (B @ A) @ A @ (C @ A)) | (~ (sk3 @ (B @ (cP @ (sk1 @ (^ [D:iS]: (sk3 @ (B @ D) @ D @ (C @ D)))) @ (sk2 @ (^ [D:iS]: (sk3 @ (B @ D) @ D @ (C @ D)))))) @ (cP @ (sk1 @ (^ [D:iS]: (sk3 @ (B @ D) @ D @ (C @ D)))) @ (sk2 @ (^ [D:iS]: (sk3 @ (B @ D) @ D @ (C @ D))))) @ (C @ (cP @ (sk1 @ (^ [D:iS]: (sk3 @ (B @ D) @ D @ (C @ D)))) @ (sk2 @ (^ [D:iS]: (sk3 @ (B @ D) @ D @ (C @ D)))))))) | ((B @ c0) != (C @ c0)))),inference(pre_uni,[status(thm)],[210:[]])).
212.89/51.76 thf(226,plain,(! [C:(iS > iS),B:(iS > iS),A:iS] : ((sk3 @ (B @ A) @ A @ (C @ A)) | (~ (sk3 @ (B @ (cP @ (sk1 @ (^ [D:iS]: (sk3 @ (B @ D) @ D @ (C @ D)))) @ (sk2 @ (^ [D:iS]: (sk3 @ (B @ D) @ D @ (C @ D)))))) @ (cP @ (sk1 @ (^ [D:iS]: (sk3 @ (B @ D) @ D @ (C @ D)))) @ (sk2 @ (^ [D:iS]: (sk3 @ (B @ D) @ D @ (C @ D))))) @ (C @ (cP @ (sk1 @ (^ [D:iS]: (sk3 @ (B @ D) @ D @ (C @ D)))) @ (sk2 @ (^ [D:iS]: (sk3 @ (B @ D) @ D @ (C @ D)))))))) | ((B @ c0) != (C @ c0)))),inference(simp,[status(thm)],[212])).
212.89/51.76 thf(7267,plain,(! [A:iS] : ((sk3 @ (sk1 @ (^ [B:iS]: (sk3 @ B @ c0 @ c0))) @ c0 @ c0) | (sk3 @ A @ c0 @ c0))),inference(pre_uni,[status(thm)],[7174:[bind(A, $thf(A)),bind(B, $thf(^ [C:iS]: (sk3 @ C @ c0 @ c0)))]])).
212.89/51.76 thf(15225,plain,(! [A:iS] : ((sk3 @ (sk1 @ (^ [B:iS]: (sk3 @ B @ c0 @ c0))) @ c0 @ c0) | ((sk3 @ A @ c0 @ c0) != (sk3 @ (sk1 @ (^ [B:iS]: (sk3 @ B @ c0 @ c0))) @ c0 @ c0)) | ~ ($true))),inference(eqfactor_ordered,[status(thm)],[7267])).
212.89/51.76 thf(15308,plain,((sk3 @ (sk1 @ (^ [A:iS]: (sk3 @ A @ c0 @ c0))) @ c0 @ c0)),inference(pattern_uni,[status(thm)],[15225:[bind(A, $thf(sk1 @ (^ [B:iS]: (sk3 @ B @ c0 @ c0))))]])).
212.89/51.76 thf(12870,plain,(((sk3 @ (sk1 @ (^ [A:iS]: (sk3 @ A @ A @ A))) @ (sk1 @ (^ [A:iS]: (sk3 @ A @ A @ A))) @ (sk1 @ (^ [A:iS]: (sk3 @ A @ A @ A)))) != (sk3 @ (cP @ x @ c0) @ (cP @ x @ y) @ (cP @ x @ y)))),inference(paramod_ordered,[status(thm)],[12837,7])).
212.89/51.76 thf(12930,plain,(((sk1 @ (^ [A:iS]: (sk3 @ A @ A @ A))) != (cP @ x @ c0)) | ((sk1 @ (^ [A:iS]: (sk3 @ A @ A @ A))) != (cP @ x @ y)) | ((sk1 @ (^ [A:iS]: (sk3 @ A @ A @ A))) != (cP @ x @ y))),inference(simp,[status(thm)],[12870])).
212.89/51.76 thf(12947,plain,(((sk1 @ (^ [A:iS]: (sk3 @ A @ A @ A))) != (cP @ x @ c0)) | ((sk1 @ (^ [A:iS]: (sk3 @ A @ A @ A))) != (cP @ x @ y))),inference(simp,[status(thm)],[12930])).
212.89/51.76 thf(5,plain,(! [D:iS,C:iS,B:iS,A:iS] : ((~ ((cP @ A @ C) = (cP @ B @ D))) | (C = D))),inference(cnf,[status(esa)],[4])).
212.89/51.76 thf(18,plain,(! [D:iS,C:iS,B:iS,A:iS] : (((cP @ A @ C) != (cP @ B @ D)) | (C = D))),inference(lifteq,[status(thm)],[5])).
212.89/51.76 thf(18332,plain,((sk3 @ (sk2 @ (^ [A:iS]: (sk3 @ A @ A @ A))) @ c0 @ c0) | ((^ [A:iS]: (sk3 @ A @ A @ A)) != (= @ iS @ c0)) | ((sk2 @ (^ [A:iS]: (sk3 @ A @ A @ A))) != (sk2 @ (= @ iS @ c0)))),inference(paramod_ordered,[status(thm)],[68,17588])).
212.89/51.76 thf(18370,plain,((sk3 @ (sk2 @ (^ [A:iS]: (sk3 @ A @ A @ A))) @ c0 @ c0) | ((^ [A:iS]: (sk3 @ A @ A @ A)) != (= @ iS @ c0)) | ((^ [A:iS]: (sk3 @ A @ A @ A)) != (= @ iS @ c0))),inference(simp,[status(thm)],[18332])).
212.89/51.76 thf(18390,plain,((sk3 @ (sk2 @ (^ [A:iS]: (sk3 @ A @ A @ A))) @ c0 @ c0) | ((^ [A:iS]: (sk3 @ A @ A @ A)) != (= @ iS @ c0))),inference(simp,[status(thm)],[18370])).
212.89/51.76 thf(2475,plain,((sk7 != c0) | ((sk3 @ x @ (sk1 @ (^ [A:iS]: (sk3 @ x @ A @ x))) @ x) != (sk3 @ x @ (cP @ c0 @ c0) @ x))),inference(paramod_ordered,[status(thm)],[818,2448])).
212.89/51.76 thf(2513,plain,((sk7 != c0) | (x != x) | ((sk1 @ (^ [A:iS]: (sk3 @ x @ A @ x))) != (cP @ c0 @ c0)) | (x != x)),inference(simp,[status(thm)],[2475])).
212.89/51.76 thf(2518,plain,((sk7 != c0) | ((sk1 @ (^ [A:iS]: (sk3 @ x @ A @ x))) != (cP @ c0 @ c0))),inference(simp,[status(thm)],[2513])).
212.89/51.76 thf(167,plain,(! [B:iS,A:(iS > $o)] : ((~ (A @ c0)) | (~ (A @ (cP @ (sk1 @ (A)) @ (sk2 @ (A))))) | ((A @ B) != (~ (A @ (cP @ (sk1 @ (A)) @ (sk2 @ (A)))))) | ~ ($true))),inference(eqfactor_ordered,[status(thm)],[20])).
212.89/51.76 thf(199,plain,(! [B:iS,A:(iS > $o)] : ((~ (A @ c0)) | (~ (A @ (cP @ (sk1 @ (A)) @ (sk2 @ (A))))) | ((A @ B) != (~ (A @ (cP @ (sk1 @ (A)) @ (sk2 @ (A)))))))),inference(simp,[status(thm)],[167])).
212.89/51.76 thf(1174,plain,(! [B:(iS > $o),A:iS] : ((~ (B @ A)) | (B @ c0) | (~ (B @ (sk2 @ (^ [C:iS]: ~ (B @ C))))) | (~ (B @ A)))),inference(eqfactor_ordered,[status(thm)],[799])).
212.89/51.76 thf(1182,plain,(! [A:iS] : ((~ (A = A)) | (A = c0) | (~ (A = (sk2 @ (^ [B:iS]: ~ (A = B))))) | (~ (A = A)))),inference(replace_leibeq,[status(thm)],[1174:[bind(A, $thf(A)),bind(B, $thf(= @ iS @ A))]])).
212.89/51.76 thf(1204,plain,(! [A:iS] : ((A != A) | (A = c0) | (A != (sk2 @ (^ [B:iS]: ~ (A = B)))) | (A != A))),inference(lifteq,[status(thm)],[1182])).
212.89/51.76 thf(1285,plain,(! [A:iS] : ((A = c0) | (A != (sk2 @ (^ [B:iS]: ~ (A = B)))))),inference(simp,[status(thm)],[1204])).
212.89/51.76 thf(552,plain,(! [A:iS] : (((sk3 @ A @ c0 @ A) != (sk3 @ x @ x @ x)))),inference(paramod_ordered,[status(thm)],[22,548])).
212.89/51.76 thf(566,plain,(! [A:iS] : ((A != x) | (c0 != x) | (A != x))),inference(simp,[status(thm)],[552])).
212.89/51.76 thf(571,plain,((c0 != x)),inference(simp,[status(thm)],[566])).
212.89/51.76 thf(580,plain,(! [A:iS] : (((sk3 @ A @ c0 @ A) != (sk3 @ x @ (cP @ (sk1 @ (^ [B:iS]: (sk3 @ x @ B @ x))) @ (sk2 @ (^ [B:iS]: (sk3 @ x @ B @ x)))) @ x)))),inference(paramod_ordered,[status(thm)],[22,575])).
212.89/51.76 thf(589,plain,(! [A:iS] : ((A != x) | ((cP @ (sk1 @ (^ [B:iS]: (sk3 @ x @ B @ x))) @ (sk2 @ (^ [B:iS]: (sk3 @ x @ B @ x)))) != c0) | (A != x))),inference(simp,[status(thm)],[580])).
212.89/51.76 thf(595,plain,(((cP @ (sk1 @ (^ [A:iS]: (sk3 @ x @ A @ x))) @ (sk2 @ (^ [A:iS]: (sk3 @ x @ A @ x)))) != c0)),inference(simp,[status(thm)],[589])).
212.89/51.76 thf(17484,plain,(((sk3 @ (sk2 @ (^ [A:iS]: (sk3 @ A @ A @ A))) @ (sk2 @ (^ [A:iS]: (sk3 @ A @ A @ A))) @ (sk2 @ (^ [A:iS]: (sk3 @ A @ A @ A)))) != (sk3 @ x @ x @ x))),inference(paramod_ordered,[status(thm)],[17482,548])).
212.89/51.76 thf(17600,plain,(((sk2 @ (^ [A:iS]: (sk3 @ A @ A @ A))) != x) | ((sk2 @ (^ [A:iS]: (sk3 @ A @ A @ A))) != x) | ((sk2 @ (^ [A:iS]: (sk3 @ A @ A @ A))) != x)),inference(simp,[status(thm)],[17484])).
212.89/51.76 thf(17602,plain,(((sk2 @ (^ [A:iS]: (sk3 @ A @ A @ A))) != x)),inference(simp,[status(thm)],[17600])).
212.89/51.76 thf(15097,plain,(((cP @ c0 @ c0) != (sk1 @ (^ [A:iS]: (sk3 @ A @ A @ A)))) | ((^ [A:iS]: (sk3 @ A @ A @ A)) != (= @ iS @ c0)) | ((sk2 @ (^ [A:iS]: (sk3 @ A @ A @ A))) != (sk2 @ (= @ iS @ c0)))),inference(paramod_ordered,[status(thm)],[68,12982])).
212.89/51.76 thf(15098,plain,(((cP @ c0 @ c0) != (sk1 @ (^ [A:iS]: (sk3 @ A @ A @ A)))) | ((^ [A:iS]: (sk3 @ A @ A @ A)) != (= @ iS @ c0)) | ((^ [A:iS]: (sk3 @ A @ A @ A)) != (= @ iS @ c0))),inference(simp,[status(thm)],[15097])).
212.89/51.76 thf(15099,plain,(((cP @ c0 @ c0) != (sk1 @ (^ [A:iS]: (sk3 @ A @ A @ A)))) | ((^ [A:iS]: (sk3 @ A @ A @ A)) != (= @ iS @ c0))),inference(simp,[status(thm)],[15098])).
212.89/51.76 thf(231,plain,(! [C:(iS > $o),B:(iS > $o),A:iS] : ((B @ A) | (C @ A) | (~ (B @ (cP @ (sk1 @ (^ [D:iS]: ((B @ D) | (C @ D)))) @ (sk2 @ (^ [D:iS]: ((B @ D) | (C @ D))))))) | (~ (C @ c0)))),inference(cnf,[status(esa)],[168])).
212.89/51.76 thf(235,plain,(! [C:(iS > $o),B:(iS > $o),A:iS] : ((B @ A) | (C @ A) | (~ (B @ (cP @ (sk1 @ (^ [D:iS]: ((B @ D) | (C @ D)))) @ (sk2 @ (^ [D:iS]: ((B @ D) | (C @ D))))))) | (~ (C @ c0)))),inference(simp,[status(thm)],[231])).
212.89/51.76 thf(8903,plain,(((sk3 @ (cP @ (sk1 @ (^ [A:iS]: (sk3 @ A @ x @ x))) @ (sk2 @ (^ [A:iS]: (sk3 @ A @ x @ x)))) @ x @ x) != (sk3 @ (sk2 @ (^ [A:iS]: (sk3 @ A @ x @ x))) @ x @ x))),inference(paramod_ordered,[status(thm)],[1740,8606])).
212.89/51.76 thf(8945,plain,(((cP @ (sk1 @ (^ [A:iS]: (sk3 @ A @ x @ x))) @ (sk2 @ (^ [A:iS]: (sk3 @ A @ x @ x)))) != (sk2 @ (^ [A:iS]: (sk3 @ A @ x @ x)))) | (x != x) | (x != x)),inference(simp,[status(thm)],[8903])).
212.89/51.76 thf(8969,plain,(((cP @ (sk1 @ (^ [A:iS]: (sk3 @ A @ x @ x))) @ (sk2 @ (^ [A:iS]: (sk3 @ A @ x @ x)))) != (sk2 @ (^ [A:iS]: (sk3 @ A @ x @ x))))),inference(simp,[status(thm)],[8945])).
212.89/51.76 thf(2472,plain,((sk7 != c0) | ((sk3 @ x @ (sk2 @ (^ [A:iS]: (sk3 @ x @ A @ x))) @ x) != (sk3 @ x @ (cP @ c0 @ c0) @ x))),inference(paramod_ordered,[status(thm)],[1678,2448])).
212.89/51.76 thf(2511,plain,((sk7 != c0) | (x != x) | ((sk2 @ (^ [A:iS]: (sk3 @ x @ A @ x))) != (cP @ c0 @ c0)) | (x != x)),inference(simp,[status(thm)],[2472])).
212.89/51.76 thf(2517,plain,((sk7 != c0) | ((sk2 @ (^ [A:iS]: (sk3 @ x @ A @ x))) != (cP @ c0 @ c0))),inference(simp,[status(thm)],[2511])).
212.89/51.76 thf(16603,plain,(((sk1 @ (^ [A:iS]: (sk3 @ A @ A @ A))) != (cP @ x @ y)) | ((sk1 @ (^ [A:iS]: (sk3 @ A @ A @ A))) != (sk1 @ (^ [A:iS]: (sk3 @ A @ A @ A)))) | ((cP @ x @ c0) != (cP @ x @ y))),inference(eqfactor_ordered,[status(thm)],[12947])).
212.89/51.76 thf(16609,plain,(((sk1 @ (^ [A:iS]: (sk3 @ A @ A @ A))) != (cP @ x @ y)) | (x != x) | (c0 != y)),inference(simp,[status(thm)],[16603])).
212.89/51.76 thf(16610,plain,(((sk1 @ (^ [A:iS]: (sk3 @ A @ A @ A))) != (cP @ x @ y)) | (c0 != y)),inference(simp,[status(thm)],[16609])).
212.89/51.76 thf(19,plain,(! [B:iS,A:iS] : (((sk4 @ A @ (cP @ A @ B)) = B))),introduced(tautology,[new_symbols(inverse(cP),[sk4])])).
212.89/51.76 thf(1118,plain,(((^ [A:iS]: (sk3 @ x @ A @ x)) != (= @ iS @ c0)) | ((sk3 @ x @ (sk1 @ (^ [A:iS]: (sk3 @ x @ A @ x))) @ x) != (sk3 @ x @ (cP @ c0 @ c0) @ x))),inference(paramod_ordered,[status(thm)],[818,883])).
212.89/51.76 thf(1137,plain,(((^ [A:iS]: (sk3 @ x @ A @ x)) != (= @ iS @ c0)) | (x != x) | ((sk1 @ (^ [A:iS]: (sk3 @ x @ A @ x))) != (cP @ c0 @ c0)) | (x != x)),inference(simp,[status(thm)],[1118])).
212.89/51.76 thf(1148,plain,(((^ [A:iS]: (sk3 @ x @ A @ x)) != (= @ iS @ c0)) | ((sk1 @ (^ [A:iS]: (sk3 @ x @ A @ x))) != (cP @ c0 @ c0))),inference(simp,[status(thm)],[1137])).
212.89/51.76 thf(171,plain,(! [D:(iS > iS),C:(iS > iS),B:(iS > iS),A:iS] : ((~ (sk3 @ (B @ c0) @ (C @ c0) @ (D @ c0))) | (~ (sk3 @ (B @ (cP @ (sk1 @ (^ [E:iS]: (sk3 @ (B @ E) @ (C @ E) @ (D @ E)))) @ (sk2 @ (^ [E:iS]: (sk3 @ (B @ E) @ (C @ E) @ (D @ E)))))) @ (C @ (cP @ (sk1 @ (^ [E:iS]: (sk3 @ (B @ E) @ (C @ E) @ (D @ E)))) @ (sk2 @ (^ [E:iS]: (sk3 @ (B @ E) @ (C @ E) @ (D @ E)))))) @ (D @ (cP @ (sk1 @ (^ [E:iS]: (sk3 @ (B @ E) @ (C @ E) @ (D @ E)))) @ (sk2 @ (^ [E:iS]: (sk3 @ (B @ E) @ (C @ E) @ (D @ E)))))))) | (sk3 @ (B @ A) @ (C @ A) @ (D @ A)))),inference(prim_subst,[status(thm)],[20:[bind(A, $thf(^ [F:iS]: (sk3 @ (C @ F) @ (D @ F) @ (E @ F))))]])).
212.89/51.76 thf(239,plain,(! [D:(iS > iS),C:(iS > iS),B:(iS > iS),A:iS] : ((~ (sk3 @ (B @ c0) @ (C @ c0) @ (D @ c0))) | (~ (sk3 @ (B @ (cP @ (sk1 @ (^ [E:iS]: (sk3 @ (B @ E) @ (C @ E) @ (D @ E)))) @ (sk2 @ (^ [E:iS]: (sk3 @ (B @ E) @ (C @ E) @ (D @ E)))))) @ (C @ (cP @ (sk1 @ (^ [E:iS]: (sk3 @ (B @ E) @ (C @ E) @ (D @ E)))) @ (sk2 @ (^ [E:iS]: (sk3 @ (B @ E) @ (C @ E) @ (D @ E)))))) @ (D @ (cP @ (sk1 @ (^ [E:iS]: (sk3 @ (B @ E) @ (C @ E) @ (D @ E)))) @ (sk2 @ (^ [E:iS]: (sk3 @ (B @ E) @ (C @ E) @ (D @ E)))))))) | (sk3 @ (B @ A) @ (C @ A) @ (D @ A)))),inference(simp,[status(thm)],[171])).
212.89/51.76 thf(164,plain,(! [B:iS,A:(iS > $o)] : ((~ (A @ c0)) | (A @ B) | ((A @ (cP @ (sk1 @ (A)) @ (sk2 @ (A)))) != (A @ c0)) | ~ ($true))),inference(eqfactor_ordered,[status(thm)],[20])).
212.89/51.76 thf(194,plain,(! [B:iS,A:(iS > $o)] : ((~ (A @ c0)) | (A @ B) | ((A @ (cP @ (sk1 @ (A)) @ (sk2 @ (A)))) != (A @ c0)))),inference(pre_uni,[status(thm)],[164:[]])).
212.89/51.76 thf(195,plain,(! [B:iS,A:(iS > $o)] : ((A @ B) | (~ (A @ c0)) | ((A @ (cP @ (sk1 @ (A)) @ (sk2 @ (A)))) != (A @ c0)))),inference(pre_uni,[status(thm)],[194:[]])).
212.89/51.76 thf(18331,plain,((sk3 @ c0 @ (sk2 @ (^ [A:iS]: (sk3 @ A @ A @ A))) @ c0) | ((^ [A:iS]: (sk3 @ A @ A @ A)) != (= @ iS @ c0)) | ((sk2 @ (^ [A:iS]: (sk3 @ A @ A @ A))) != (sk2 @ (= @ iS @ c0)))),inference(paramod_ordered,[status(thm)],[68,17588])).
212.89/51.76 thf(18377,plain,((sk3 @ c0 @ (sk2 @ (^ [A:iS]: (sk3 @ A @ A @ A))) @ c0) | ((^ [A:iS]: (sk3 @ A @ A @ A)) != (= @ iS @ c0)) | ((^ [A:iS]: (sk3 @ A @ A @ A)) != (= @ iS @ c0))),inference(simp,[status(thm)],[18331])).
212.89/51.76 thf(18391,plain,((sk3 @ c0 @ (sk2 @ (^ [A:iS]: (sk3 @ A @ A @ A))) @ c0) | ((^ [A:iS]: (sk3 @ A @ A @ A)) != (= @ iS @ c0))),inference(simp,[status(thm)],[18377])).
212.89/51.76 thf(12981,plain,(((cP @ (sk1 @ (^ [A:iS]: (sk3 @ A @ A @ A))) @ c0) != (sk1 @ (^ [A:iS]: (sk3 @ A @ A @ A)))) | ((sk2 @ (^ [A:iS]: (sk3 @ A @ A @ A))) != (sk2 @ (= @ iS @ c0)))),inference(paramod_ordered,[status(thm)],[68,12970])).
212.89/51.76 thf(12984,plain,(((cP @ (sk1 @ (^ [A:iS]: (sk3 @ A @ A @ A))) @ c0) != (sk1 @ (^ [A:iS]: (sk3 @ A @ A @ A)))) | ((^ [A:iS]: (sk3 @ A @ A @ A)) != (= @ iS @ c0))),inference(simp,[status(thm)],[12981])).
212.89/51.76 thf(145,plain,(! [C:iS,B:(iS > $o),A:iS] : ((~ (B @ c0)) | (B @ C) | ((sk3 @ c0 @ A @ A) != (B @ (cP @ (sk1 @ (B)) @ (sk2 @ (B))))))),inference(paramod_ordered,[status(thm)],[24,20])).
212.89/51.76 thf(213,plain,(! [C:(iS > iS),B:(iS > iS),A:iS] : ((~ (sk3 @ c0 @ (B @ c0) @ (C @ c0))) | (sk3 @ c0 @ (B @ A) @ (C @ A)) | ((B @ (cP @ (sk1 @ (^ [D:iS]: (sk3 @ c0 @ (B @ D) @ (C @ D)))) @ (sk2 @ (^ [D:iS]: (sk3 @ c0 @ (B @ D) @ (C @ D)))))) != (C @ (cP @ (sk1 @ (^ [D:iS]: (sk3 @ c0 @ (B @ D) @ (C @ D)))) @ (sk2 @ (^ [D:iS]: (sk3 @ c0 @ (B @ D) @ (C @ D))))))))),inference(pre_uni,[status(thm)],[145:[bind(A, $thf(E @ (cP @ (sk1 @ (^ [F:iS]: (sk3 @ c0 @ (E @ F) @ (F @ F)))) @ (sk2 @ (^ [F:iS]: (sk3 @ c0 @ (E @ F) @ (F @ F))))))),bind(B, $thf(^ [F:iS]: (sk3 @ c0 @ (E @ F) @ (F @ F)))),bind(C, $thf(C))]])).
212.89/51.76 thf(214,plain,(! [C:(iS > iS),B:(iS > iS),A:iS] : ((sk3 @ c0 @ (B @ A) @ (C @ A)) | (~ (sk3 @ c0 @ (B @ c0) @ (C @ c0))) | ((B @ (cP @ (sk1 @ (^ [D:iS]: (sk3 @ c0 @ (B @ D) @ (C @ D)))) @ (sk2 @ (^ [D:iS]: (sk3 @ c0 @ (B @ D) @ (C @ D)))))) != (C @ (cP @ (sk1 @ (^ [D:iS]: (sk3 @ c0 @ (B @ D) @ (C @ D)))) @ (sk2 @ (^ [D:iS]: (sk3 @ c0 @ (B @ D) @ (C @ D))))))))),inference(pre_uni,[status(thm)],[213:[]])).
212.89/51.76 thf(227,plain,(! [C:(iS > iS),B:(iS > iS),A:iS] : ((sk3 @ c0 @ (B @ A) @ (C @ A)) | (~ (sk3 @ c0 @ (B @ c0) @ (C @ c0))) | ((B @ (cP @ (sk1 @ (^ [D:iS]: (sk3 @ c0 @ (B @ D) @ (C @ D)))) @ (sk2 @ (^ [D:iS]: (sk3 @ c0 @ (B @ D) @ (C @ D)))))) != (C @ (cP @ (sk1 @ (^ [D:iS]: (sk3 @ c0 @ (B @ D) @ (C @ D)))) @ (sk2 @ (^ [D:iS]: (sk3 @ c0 @ (B @ D) @ (C @ D))))))))),inference(simp,[status(thm)],[214])).
212.89/51.76 thf(22612,plain,($false),inference(e,[status(thm)],[3990,2448,1720,548,8607,10730,1782,24,565,4156,587,702,8654,12837,20,17588,13895,216,7144,238,11446,7581,221,1104,117,17642,1723,12970,9158,197,8964,224,1740,17638,842,3467,1017,1096,12950,225,10120,17619,237,17482,12982,34,18709,3262,22,44,843,27,1786,236,8970,208,7,1722,799,198,883,223,241,35,13889,226,3,15308,1003,12947,18,18390,2518,199,463,1285,31,571,595,17602,15099,1108,26,8606,235,12940,8969,2517,1280,1678,36,818,16610,19,1148,239,195,1065,18391,575,12984,68,227,17636])).
212.89/51.76 % SZS output end CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
212.89/51.76 % [INFO] Killing All external provers ...
212.89/51.76 FINAL WATCH: 98.4 CPU 48.3 WC
212.89/51.76 Killed 2 orphans
212.89/51.76 Killed 1 orphans
212.89/51.76 EOF