0.00/0.00 % Leo-III: Strategy 1 (for '60') 116.13/30.64 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ... 116.13/30.64 % [INFO] Parsing done (160ms). 116.13/30.64 % [INFO] Running in sequential loop mode. 116.13/30.64 % [CONFIG] Using configuration: timeout(60) with strategy 116.13/30.64 % [INFO] eprover registered as external prover. 116.13/30.64 % [INFO] cvc4 registered as external prover. 116.13/30.64 % [INFO] Parsing finished. Scanning for conjecture ... 116.13/30.64 % [INFO] Found a conjecture and 0 axioms. Running axiom selection ... 116.13/30.64 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms). 116.13/30.64 % [INFO] Problem is higher-order (TPTP THF). 116.13/30.64 % [INFO] Type checking passed. Searching for refutation ... 116.13/30.64 % External prover 'e' found a proof! 116.13/30.64 % [INFO] Killing All external provers ... 116.13/30.64 % Time passed: 27115ms (effective reasoning time: 26477ms) 116.13/30.64 % Solved by strategy 116.13/30.64 % Axioms used in derivation (0): 116.13/30.64 % No. of inferences in proof: 307 116.13/30.64 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 27115 ms resp. 26477 ms w/o parsing 116.13/30.64 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p 116.13/30.64 thf(a_type, type, a: $tType). 116.13/30.64 thf(sk1_type, type, sk1: ((a > (a > $o)) > $o)). 116.13/30.64 thf(sk2_type, type, sk2: (a > (a > $o))). 116.13/30.64 thf(sk3_type, type, sk3: (a > (a > $o))). 116.13/30.64 thf(sk4_type, type, sk4: a). 116.13/30.64 thf(sk5_type, type, sk5: a). 116.13/30.64 thf(sk6_type, type, sk6: a). 116.13/30.64 thf(sk7_type, type, sk7: a). 116.13/30.64 thf(sk8_type, type, sk8: (a > (a > $o))). 116.13/30.64 thf(sk11_type, type, sk11: (a > (a > $o))). 116.13/30.64 thf(sk12_type, type, sk12: (a > (a > $o))). 116.13/30.64 thf(sk13_type, type, sk13: (a > (a > (a > (a > $o))))). 116.13/30.64 thf(sk14_type, type, sk14: (a > (a > (a > (a > (a > (a > $o))))))). 116.13/30.64 thf(sk15_type, type, sk15: (a > (a > (a > (a > (a > (a > $o))))))). 116.13/30.64 thf(sk26_type, type, sk26: (a > (a > $o))). 116.13/30.64 thf(sk29_type, type, sk29: (a > (a > $o))). 116.13/30.64 thf(sk40_type, type, sk40: a). 116.13/30.64 thf(sk41_type, type, sk41: a). 116.13/30.64 thf(sk42_type, type, sk42: a). 116.13/30.64 thf(sk43_type, type, sk43: a). 116.13/30.64 thf(sk54_type, type, sk54: a). 116.13/30.64 thf(sk55_type, type, sk55: a). 116.13/30.64 thf(sk56_type, type, sk56: (a > (a > (a > (a > $o))))). 116.13/30.64 thf(sk62_type, type, sk62: a). 116.13/30.64 thf(sk63_type, type, sk63: a). 116.13/30.64 thf(sk84_type, type, sk84: a). 116.13/30.64 thf(sk85_type, type, sk85: a). 116.13/30.64 thf(sk86_type, type, sk86: a). 116.13/30.64 thf(sk87_type, type, sk87: a). 116.13/30.64 thf(sk102_type, type, sk102: a). 116.13/30.64 thf(sk103_type, type, sk103: a). 116.13/30.64 thf(sk104_type, type, sk104: a). 116.13/30.64 thf(sk105_type, type, sk105: a). 116.13/30.64 thf(sk112_type, type, sk112: a). 116.13/30.64 thf(sk113_type, type, sk113: a). 116.13/30.64 thf(sk114_type, type, sk114: a). 116.13/30.64 thf(sk115_type, type, sk115: a). 116.13/30.64 thf(sk116_type, type, sk116: a). 116.13/30.64 thf(sk127_type, type, sk127: (a > (a > $o))). 116.13/30.64 thf(sk128_type, type, sk128: (a > (a > $o))). 116.13/30.64 thf(sk149_type, type, sk149: (a > (a > $o))). 116.13/30.64 thf(sk150_type, type, sk150: (a > (a > $o))). 116.13/30.64 thf(sk151_type, type, sk151: a). 116.13/30.64 thf(sk152_type, type, sk152: a). 116.13/30.64 thf(sk153_type, type, sk153: a). 116.13/30.64 thf(sk154_type, type, sk154: a). 116.13/30.64 thf(sk161_type, type, sk161: a). 116.13/30.64 thf(sk162_type, type, sk162: a). 116.13/30.64 thf(sk163_type, type, sk163: a). 116.13/30.64 thf(sk188_type, type, sk188: a). 116.13/30.64 thf(sk189_type, type, sk189: a). 116.13/30.64 thf(sk200_type, type, sk200: (a > (a > $o))). 116.13/30.64 thf(sk201_type, type, sk201: (a > (a > $o))). 116.13/30.64 thf(sk226_type, type, sk226: (a > (a > $o))). 116.13/30.64 thf(sk227_type, type, sk227: (a > (a > $o))). 116.13/30.64 thf(sk328_type, type, sk328: (a > (a > a))). 116.13/30.64 thf(sk329_type, type, sk329: (a > (a > a))). 116.13/30.64 thf(sk330_type, type, sk330: (a > (a > a))). 116.13/30.64 thf(sk331_type, type, sk331: (a > (a > a))). 116.13/30.64 thf(sk394_type, type, sk394: (a > (a > $o))). 116.13/30.64 thf(sk397_type, type, sk397: (a > (a > $o))). 116.13/30.64 thf(sk398_type, type, sk398: a). 116.13/30.64 thf(sk401_type, type, sk401: (a > (a > (a > (a > (a > (a > a))))))). 116.13/30.64 thf(sk402_type, type, sk402: (a > (a > (a > (a > (a > (a > a))))))). 116.13/30.64 thf(sk421_type, type, sk421: (a > (a > $o))). 116.13/30.64 thf(sk424_type, type, sk424: (a > (a > $o))). 116.13/30.64 thf(sk425_type, type, sk425: a). 116.13/30.64 thf(sk426_type, type, sk426: a). 116.13/30.64 thf(sk427_type, type, sk427: a). 116.13/30.64 thf(sk428_type, type, sk428: a). 116.13/30.64 thf(sk429_type, type, sk429: a). 116.13/30.64 thf(sk430_type, type, sk430: a). 116.13/30.64 thf(sk445_type, type, sk445: a). 116.13/30.64 thf(sk446_type, type, sk446: a). 116.13/30.64 thf(sk457_type, type, sk457: a). 116.13/30.64 thf(sk458_type, type, sk458: a). 116.13/30.64 thf(sk459_type, type, sk459: a). 116.13/30.64 thf(sk460_type, type, sk460: a). 116.13/30.64 thf(sk461_type, type, sk461: a). 116.13/30.64 thf(sk462_type, type, sk462: a). 116.13/30.64 thf(sk463_type, type, sk463: a). 116.13/30.64 thf(sk480_type, type, sk480: (a > (a > $o))). 116.13/30.64 thf(sk483_type, type, sk483: (a > (a > $o))). 116.13/30.64 thf(sk540_type, type, sk540: (a > (a > (a > (a > (a > (a > (a > (a > a))))))))). 116.13/30.64 thf(sk541_type, type, sk541: (a > (a > (a > (a > (a > (a > (a > (a > a))))))))). 116.13/30.64 thf(sk1550_type, type, sk1550: a). 116.13/30.64 thf(sk1551_type, type, sk1551: a). 116.13/30.64 thf(sk1580_type, type, sk1580: a). 116.13/30.64 thf(sk1581_type, type, sk1581: a). 116.13/30.64 thf(sk1582_type, type, sk1582: a). 116.13/30.64 thf(sk1583_type, type, sk1583: a). 116.13/30.64 thf(1,conjecture,((! [A:((a > (a > $o)) > $o),B:(a > (a > $o)),C:(a > (a > $o))]: ((^ [D:a,E:a]: ! [F:(a > (a > $o))]: ((! [G:a,H:a]: ((F @ G @ H) <= ((B @ G @ H) | (C @ G @ H))) & (A @ F)) => (F @ D @ E))) = (^ [D:a,E:a]: ! [F:(a > (a > $o))]: (((A @ F) & ! [G:a,H:a]: ((! [I:(a > (a > $o))]: ((I @ G @ H) <= ((A @ I) & ! [J:a,K:a]: ((C @ J @ K) => (I @ J @ K)))) | ! [I:(a > (a > $o))]: ((I @ G @ H) <= (! [J:a,K:a]: ((I @ J @ K) <= (B @ J @ K)) & (A @ I)))) => (F @ G @ H))) => (F @ D @ E)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cTHM252_pme)). 116.13/30.64 thf(2,negated_conjecture,((~ (! [A:((a > (a > $o)) > $o),B:(a > (a > $o)),C:(a > (a > $o))]: ((^ [D:a,E:a]: ! [F:(a > (a > $o))]: ((! [G:a,H:a]: ((F @ G @ H) <= ((B @ G @ H) | (C @ G @ H))) & (A @ F)) => (F @ D @ E))) = (^ [D:a,E:a]: ! [F:(a > (a > $o))]: (((A @ F) & ! [G:a,H:a]: ((! [I:(a > (a > $o))]: ((I @ G @ H) <= ((A @ I) & ! [J:a,K:a]: ((C @ J @ K) => (I @ J @ K)))) | ! [I:(a > (a > $o))]: ((I @ G @ H) <= (! [J:a,K:a]: ((I @ J @ K) <= (B @ J @ K)) & (A @ I)))) => (F @ G @ H))) => (F @ D @ E))))))),inference(neg_conjecture,[status(cth)],[1])). 116.13/30.64 thf(3,plain,((~ (! [A:((a > (a > $o)) > $o),B:(a > (a > $o)),C:(a > (a > $o))]: ((^ [D:a,E:a]: ! [F:(a > (a > $o))]: ((! [G:a,H:a]: ((F @ G @ H) | ~ ((B @ G @ H) | (C @ G @ H))) & (A @ F)) => (F @ D @ E))) = (^ [D:a,E:a]: ! [F:(a > (a > $o))]: (((A @ F) & ! [G:a,H:a]: ((! [I:(a > (a > $o))]: ((I @ G @ H) | ~ ((A @ I) & ! [J:a,K:a]: ((C @ J @ K) => (I @ J @ K)))) | ! [I:(a > (a > $o))]: ((I @ G @ H) | ~ (! [J:a,K:a]: ((I @ J @ K) | ~ (B @ J @ K)) & (A @ I)))) => (F @ G @ H))) => (F @ D @ E))))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[2])). 116.13/30.64 thf(4,plain,((~ ((^ [A:a,B:a]: ! [C:(a > (a > $o))]: ((! [D:a,E:a]: ((C @ D @ E) | ~ ((sk2 @ D @ E) | (sk3 @ D @ E))) & (sk1 @ C)) => (C @ A @ B))) = (^ [A:a,B:a]: ! [C:(a > (a > $o))]: (((sk1 @ C) & ! [D:a,E:a]: ((! [F:(a > (a > $o))]: ((F @ D @ E) | ~ ((sk1 @ F) & ! [G:a,H:a]: ((sk3 @ G @ H) => (F @ G @ H)))) | ! [F:(a > (a > $o))]: ((F @ D @ E) | ~ (! [G:a,H:a]: ((F @ G @ H) | ~ (sk2 @ G @ H)) & (sk1 @ F)))) => (C @ D @ E))) => (C @ A @ B)))))),inference(cnf,[status(esa)],[3])). 116.13/30.64 thf(5,plain,(((^ [A:a,B:a]: ! [C:(a > (a > $o))]: ((! [D:a,E:a]: ((C @ D @ E) | ~ ((sk2 @ D @ E) | (sk3 @ D @ E))) & (sk1 @ C)) => (C @ A @ B))) != (^ [A:a,B:a]: ! [C:(a > (a > $o))]: (((sk1 @ C) & ! [D:a,E:a]: ((! [F:(a > (a > $o))]: ((F @ D @ E) | ~ ((sk1 @ F) & ! [G:a,H:a]: ((sk3 @ G @ H) => (F @ G @ H)))) | ! [F:(a > (a > $o))]: ((F @ D @ E) | ~ (! [G:a,H:a]: ((F @ G @ H) | ~ (sk2 @ G @ H)) & (sk1 @ F)))) => (C @ D @ E))) => (C @ A @ B))))),inference(lifteq,[status(thm)],[4])). 116.13/30.64 thf(6,plain,(((^ [A:a,B:a,C:(a > (a > $o))]: ((! [D:a,E:a]: ((C @ D @ E) | ~ ((sk2 @ D @ E) | (sk3 @ D @ E))) & (sk1 @ C)) => (C @ A @ B))) != (^ [A:a,B:a,C:(a > (a > $o))]: (((sk1 @ C) & ! [D:a,E:a]: ((! [F:(a > (a > $o))]: ((F @ D @ E) | ~ ((sk1 @ F) & ! [G:a,H:a]: ((sk3 @ G @ H) => (F @ G @ H)))) | ! [F:(a > (a > $o))]: ((F @ D @ E) | ~ (! [G:a,H:a]: ((F @ G @ H) | ~ (sk2 @ G @ H)) & (sk1 @ F)))) => (C @ D @ E))) => (C @ A @ B))))),inference(simp,[status(thm)],[5])). 116.13/30.64 thf(9,plain,((((! [A:a,B:a]: ((sk8 @ A @ B) | ~ ((sk2 @ A @ B) | (sk3 @ A @ B))) & (sk1 @ (sk8))) => (sk8 @ sk6 @ sk7)) != (((sk1 @ (sk8)) & ! [A:a,B:a]: ((! [C:(a > (a > $o))]: ((C @ A @ B) | ~ ((sk1 @ (C)) & ! [D:a,E:a]: ((sk3 @ D @ E) => (C @ D @ E)))) | ! [C:(a > (a > $o))]: ((C @ A @ B) | ~ (! [D:a,E:a]: ((C @ D @ E) | ~ (sk2 @ D @ E)) & (sk1 @ (C))))) => (sk8 @ A @ B))) => (sk8 @ sk6 @ sk7)))),inference(func_ext,[status(esa)],[6])). 116.13/30.64 thf(70,plain,((~ ((! [A:a,B:a]: ((sk8 @ A @ B) | ~ ((sk2 @ A @ B) | (sk3 @ A @ B))) & (sk1 @ (sk8))) => (sk8 @ sk6 @ sk7))) | (~ (((sk1 @ (sk8)) & ! [A:a,B:a]: ((! [C:(a > (a > $o))]: ((C @ A @ B) | ~ ((sk1 @ (C)) & ! [D:a,E:a]: ((sk3 @ D @ E) => (C @ D @ E)))) | ! [C:(a > (a > $o))]: ((C @ A @ B) | ~ (! [D:a,E:a]: ((C @ D @ E) | ~ (sk2 @ D @ E)) & (sk1 @ (C))))) => (sk8 @ A @ B))) => (sk8 @ sk6 @ sk7)))),inference(bool_ext,[status(thm)],[9])). 116.13/30.64 thf(89,plain,((sk1 @ (sk8)) | (sk1 @ (sk8))),inference(cnf,[status(esa)],[70])). 116.13/30.64 thf(121,plain,((sk1 @ (sk8))),inference(simp,[status(thm)],[89])). 116.13/30.64 thf(8,plain,(((^ [A:a,B:a,C:(a > (a > $o))]: (! [D:a,E:a]: ((C @ D @ E) | ~ ((sk2 @ D @ E) | (sk3 @ D @ E))) & (sk1 @ C))) != (^ [A:a,B:a,C:(a > (a > $o))]: ((sk1 @ C) & ! [D:a,E:a]: ((! [F:(a > (a > $o))]: ((F @ D @ E) | ~ ((sk1 @ F) & ! [G:a,H:a]: ((sk3 @ G @ H) => (F @ G @ H)))) | ! [F:(a > (a > $o))]: ((F @ D @ E) | ~ (! [G:a,H:a]: ((F @ G @ H) | ~ (sk2 @ G @ H)) & (sk1 @ F)))) => (C @ D @ E))))) | ((^ [A:a,B:a,C:(a > (a > $o))]: (C @ A @ B)) != (^ [A:a,B:a,C:(a > (a > $o))]: (C @ A @ B)))),inference(simp,[status(thm)],[6])). 116.13/30.64 thf(10,plain,(((^ [A:a,B:a,C:(a > (a > $o))]: (! [D:a,E:a]: ((C @ D @ E) | ~ ((sk2 @ D @ E) | (sk3 @ D @ E))) & (sk1 @ C))) != (^ [A:a,B:a,C:(a > (a > $o))]: ((sk1 @ C) & ! [D:a,E:a]: ((! [F:(a > (a > $o))]: ((F @ D @ E) | ~ ((sk1 @ F) & ! [G:a,H:a]: ((sk3 @ G @ H) => (F @ G @ H)))) | ! [F:(a > (a > $o))]: ((F @ D @ E) | ~ (! [G:a,H:a]: ((F @ G @ H) | ~ (sk2 @ G @ H)) & (sk1 @ F)))) => (C @ D @ E)))))),inference(simp,[status(thm)],[8])). 116.13/30.64 thf(12,plain,(((! [A:a,B:a]: ((sk11 @ A @ B) | ~ ((sk2 @ A @ B) | (sk3 @ A @ B))) & (sk1 @ (sk11))) != ((sk1 @ (sk11)) & ! [A:a,B:a]: ((! [C:(a > (a > $o))]: ((C @ A @ B) | ~ ((sk1 @ (C)) & ! [D:a,E:a]: ((sk3 @ D @ E) => (C @ D @ E)))) | ! [C:(a > (a > $o))]: ((C @ A @ B) | ~ (! [D:a,E:a]: ((C @ D @ E) | ~ (sk2 @ D @ E)) & (sk1 @ (C))))) => (sk11 @ A @ B))))),inference(func_ext,[status(esa)],[10])). 116.13/30.64 thf(259,plain,(((! [A:a,B:a]: ((! [C:(a > (a > $o))]: ((C @ A @ B) | ~ ((sk1 @ (C)) & ! [D:a,E:a]: ((sk3 @ D @ E) => (C @ D @ E)))) | ! [C:(a > (a > $o))]: ((C @ A @ B) | ~ (! [D:a,E:a]: ((C @ D @ E) | ~ (sk2 @ D @ E)) & (sk1 @ (C))))) => (sk11 @ A @ B))) != (! [A:a,B:a]: ((sk11 @ A @ B) | ~ ((sk2 @ A @ B) | (sk3 @ A @ B))) & (sk1 @ (sk11)))) | ((sk1 @ (sk11)) != (sk1 @ (sk8)))),inference(paramod_ordered,[status(thm)],[121,12])). 116.13/30.64 thf(266,plain,(((! [A:a,B:a]: ((! [C:(a > (a > $o))]: ((C @ A @ B) | ~ ((sk1 @ (C)) & ! [D:a,E:a]: ((sk3 @ D @ E) => (C @ D @ E)))) | ! [C:(a > (a > $o))]: ((C @ A @ B) | ~ (! [D:a,E:a]: ((C @ D @ E) | ~ (sk2 @ D @ E)) & (sk1 @ (C))))) => (sk11 @ A @ B))) != (! [A:a,B:a]: ((sk11 @ A @ B) | ~ ((sk2 @ A @ B) | (sk3 @ A @ B))) & (sk1 @ (sk11)))) | ((sk11) != (sk8))),inference(simp,[status(thm)],[259])). 116.13/30.64 thf(255,plain,((! [A:a,B:a]: ((sk11 @ A @ B) | ~ ((sk2 @ A @ B) | (sk3 @ A @ B))) & (sk1 @ (sk11))) | ((sk1 @ (sk11)) & ! [A:a,B:a]: ((! [C:(a > (a > $o))]: ((C @ A @ B) | ~ ((sk1 @ (C)) & ! [D:a,E:a]: ((sk3 @ D @ E) => (C @ D @ E)))) | ! [C:(a > (a > $o))]: ((C @ A @ B) | ~ (! [D:a,E:a]: ((C @ D @ E) | ~ (sk2 @ D @ E)) & (sk1 @ (C))))) => (sk11 @ A @ B)))),inference(bool_ext,[status(thm)],[12])). 116.13/30.64 thf(296,plain,((sk1 @ (sk11)) | (sk1 @ (sk11))),inference(cnf,[status(esa)],[255])). 116.13/30.64 thf(311,plain,((sk1 @ (sk11))),inference(simp,[status(thm)],[296])). 116.13/30.64 thf(1639,plain,(((! [A:a,B:a]: ((! [C:(a > (a > $o))]: ((C @ A @ B) | ~ ((sk1 @ (C)) & ! [D:a,E:a]: ((sk3 @ D @ E) => (C @ D @ E)))) | ! [C:(a > (a > $o))]: ((C @ A @ B) | ~ (! [D:a,E:a]: ((C @ D @ E) | ~ (sk2 @ D @ E)) & (sk1 @ (C))))) => (sk11 @ A @ B))) != (! [A:a,B:a]: ((sk11 @ A @ B) | ~ ((sk2 @ A @ B) | (sk3 @ A @ B))) & ($true))) | ((sk11) != (sk8))),inference(rewrite,[status(thm)],[266,311])). 116.13/30.64 thf(1640,plain,(((! [A:a,B:a]: ((! [C:(a > (a > $o))]: ((C @ A @ B) | ~ ((sk1 @ (C)) & ! [D:a,E:a]: ((sk3 @ D @ E) => (C @ D @ E)))) | ! [C:(a > (a > $o))]: ((C @ A @ B) | ~ (! [D:a,E:a]: ((C @ D @ E) | ~ (sk2 @ D @ E)) & (sk1 @ (C))))) => (sk11 @ A @ B))) != (! [A:a,B:a]: ((sk11 @ A @ B) | ~ ((sk2 @ A @ B) | (sk3 @ A @ B))))) | ((sk11) != (sk8))),inference(simp,[status(thm)],[1639])). 116.13/30.64 thf(1641,plain,(((^ [A:a]: ! [B:a]: ((! [C:(a > (a > $o))]: ((C @ A @ B) | ~ ((sk1 @ C) & ! [D:a,E:a]: ((sk3 @ D @ E) => (C @ D @ E)))) | ! [C:(a > (a > $o))]: ((C @ A @ B) | ~ (! [D:a,E:a]: ((C @ D @ E) | ~ (sk2 @ D @ E)) & (sk1 @ C)))) => (sk11 @ A @ B))) != (^ [A:a]: ! [B:a]: ((sk11 @ A @ B) | ~ ((sk2 @ A @ B) | (sk3 @ A @ B))))) | ((sk11) != (sk8))),inference(simp,[status(thm)],[1640])). 116.13/30.64 thf(1679,plain,(((^ [A:a,B:a]: ((! [C:(a > (a > $o))]: ((C @ A @ B) | ~ ((sk1 @ C) & ! [D:a,E:a]: ((sk3 @ D @ E) => (C @ D @ E)))) | ! [C:(a > (a > $o))]: ((C @ A @ B) | ~ (! [D:a,E:a]: ((C @ D @ E) | ~ (sk2 @ D @ E)) & (sk1 @ C)))) => (sk11 @ A @ B))) != (^ [A:a,B:a]: ((sk11 @ A @ B) | ~ ((sk2 @ A @ B) | (sk3 @ A @ B))))) | ((sk11) != (sk8))),inference(simp,[status(thm)],[1641])). 116.13/30.64 thf(1681,plain,((((! [A:(a > (a > $o))]: ((A @ sk460 @ sk461) | ~ ((sk1 @ (A)) & ! [B:a,C:a]: ((sk3 @ B @ C) => (A @ B @ C)))) | ! [A:(a > (a > $o))]: ((A @ sk460 @ sk461) | ~ (! [B:a,C:a]: ((A @ B @ C) | ~ (sk2 @ B @ C)) & (sk1 @ (A))))) => (sk11 @ sk460 @ sk461)) != ((sk11 @ sk460 @ sk461) | ~ ((sk2 @ sk460 @ sk461) | (sk3 @ sk460 @ sk461)))) | ((sk11 @ sk462 @ sk463) != (sk8 @ sk462 @ sk463))),inference(func_ext,[status(esa)],[1679])). 116.13/30.64 thf(2125,plain,((~ ((! [A:(a > (a > $o))]: ((A @ sk460 @ sk461) | ~ ((sk1 @ (A)) & ! [B:a,C:a]: ((sk3 @ B @ C) => (A @ B @ C)))) | ! [A:(a > (a > $o))]: ((A @ sk460 @ sk461) | ~ (! [B:a,C:a]: ((A @ B @ C) | ~ (sk2 @ B @ C)) & (sk1 @ (A))))) => (sk11 @ sk460 @ sk461))) | (~ ((sk11 @ sk460 @ sk461) | ~ ((sk2 @ sk460 @ sk461) | (sk3 @ sk460 @ sk461)))) | (~ (sk11 @ sk462 @ sk463)) | (~ (sk8 @ sk462 @ sk463))),inference(bool_ext,[status(thm)],[1681])). 116.13/30.64 thf(2155,plain,((~ (sk8 @ sk462 @ sk463)) | (~ (sk11 @ sk462 @ sk463)) | (~ (sk11 @ sk460 @ sk461)) | (~ (sk11 @ sk460 @ sk461))),inference(cnf,[status(esa)],[2125])). 116.13/30.64 thf(2163,plain,((~ (sk8 @ sk462 @ sk463)) | (~ (sk11 @ sk462 @ sk463)) | (~ (sk11 @ sk460 @ sk461))),inference(simp,[status(thm)],[2155])). 116.13/30.64 thf(11,plain,(((^ [A:a,B:a,C:(a > (a > $o))]: ! [D:a,E:a]: ((C @ D @ E) | ~ ((sk2 @ D @ E) | (sk3 @ D @ E)))) != (^ [A:a,B:a]: (sk1))) | ((^ [A:a,B:a]: (sk1)) != (^ [A:a,B:a,C:(a > (a > $o))]: ! [D:a,E:a]: ((! [F:(a > (a > $o))]: ((F @ D @ E) | ~ ((sk1 @ F) & ! [G:a,H:a]: ((sk3 @ G @ H) => (F @ G @ H)))) | ! [F:(a > (a > $o))]: ((F @ D @ E) | ~ (! [G:a,H:a]: ((F @ G @ H) | ~ (sk2 @ G @ H)) & (sk1 @ F)))) => (C @ D @ E))))),inference(simp,[status(thm)],[10])). 116.13/30.64 thf(63,plain,(((^ [A:a,B:a,C:(a > (a > $o))]: ! [D:a,E:a]: ((C @ D @ E) | ~ ((sk2 @ D @ E) | (sk3 @ D @ E)))) != (^ [A:a,B:a]: (sk1))) | ((^ [A:a,B:a]: (sk1)) != (^ [A:a,B:a]: (sk1))) | ((^ [A:a,B:a,C:(a > (a > $o))]: ! [D:a,E:a]: ((! [F:(a > (a > $o))]: ((F @ D @ E) | ~ ((sk1 @ F) & ! [G:a,H:a]: ((sk3 @ G @ H) => (F @ G @ H)))) | ! [F:(a > (a > $o))]: ((F @ D @ E) | ~ (! [G:a,H:a]: ((F @ G @ H) | ~ (sk2 @ G @ H)) & (sk1 @ F)))) => (C @ D @ E))) != (^ [A:a,B:a,C:(a > (a > $o))]: ! [D:a,E:a]: ((C @ D @ E) | ~ ((sk2 @ D @ E) | (sk3 @ D @ E)))))),inference(eqfactor_ordered,[status(thm)],[11])). 116.13/30.64 thf(64,plain,(((^ [A:a,B:a,C:(a > (a > $o))]: ! [D:a,E:a]: ((C @ D @ E) | ~ ((sk2 @ D @ E) | (sk3 @ D @ E)))) != (^ [A:a,B:a]: (sk1))) | ((^ [A:a,B:a,C:(a > (a > $o))]: ! [D:a,E:a]: ((! [F:(a > (a > $o))]: ((F @ D @ E) | ~ ((sk1 @ F) & ! [G:a,H:a]: ((sk3 @ G @ H) => (F @ G @ H)))) | ! [F:(a > (a > $o))]: ((F @ D @ E) | ~ (! [G:a,H:a]: ((F @ G @ H) | ~ (sk2 @ G @ H)) & (sk1 @ F)))) => (C @ D @ E))) != (^ [A:a,B:a,C:(a > (a > $o))]: ! [D:a,E:a]: ((C @ D @ E) | ~ ((sk2 @ D @ E) | (sk3 @ D @ E)))))),inference(simp,[status(thm)],[63])). 116.13/30.64 thf(1797,plain,(((! [A:a,B:a]: ((sk480 @ A @ B) | ~ ((sk2 @ A @ B) | (sk3 @ A @ B)))) != (sk1 @ (sk480))) | ((! [A:a,B:a]: ((! [C:(a > (a > $o))]: ((C @ A @ B) | ~ ((sk1 @ (C)) & ! [D:a,E:a]: ((sk3 @ D @ E) => (C @ D @ E)))) | ! [C:(a > (a > $o))]: ((C @ A @ B) | ~ (! [D:a,E:a]: ((C @ D @ E) | ~ (sk2 @ D @ E)) & (sk1 @ (C))))) => (sk483 @ A @ B))) != (! [A:a,B:a]: ((sk483 @ A @ B) | ~ ((sk2 @ A @ B) | (sk3 @ A @ B)))))),inference(func_ext,[status(esa)],[64])). 116.13/30.64 thf(2199,plain,(((! [A:a,B:a]: ((sk480 @ A @ B) | ~ ((sk2 @ A @ B) | (sk3 @ A @ B)))) != (sk1 @ (sk480))) | ((^ [A:a]: ! [B:a]: ((! [C:(a > (a > $o))]: ((C @ A @ B) | ~ ((sk1 @ C) & ! [D:a,E:a]: ((sk3 @ D @ E) => (C @ D @ E)))) | ! [C:(a > (a > $o))]: ((C @ A @ B) | ~ (! [D:a,E:a]: ((C @ D @ E) | ~ (sk2 @ D @ E)) & (sk1 @ C)))) => (sk483 @ A @ B))) != (^ [A:a]: ! [B:a]: ((sk483 @ A @ B) | ~ ((sk2 @ A @ B) | (sk3 @ A @ B)))))),inference(simp,[status(thm)],[1797])). 116.13/30.64 thf(313,plain,(((! [A:a,B:a]: ((sk11 @ A @ B) | ~ ((sk2 @ A @ B) | (sk3 @ A @ B))) & ($true)) != (($true) & ! [A:a,B:a]: ((! [C:(a > (a > $o))]: ((C @ A @ B) | ~ ((sk1 @ (C)) & ! [D:a,E:a]: ((sk3 @ D @ E) => (C @ D @ E)))) | ! [C:(a > (a > $o))]: ((C @ A @ B) | ~ (! [D:a,E:a]: ((C @ D @ E) | ~ (sk2 @ D @ E)) & (sk1 @ (C))))) => (sk11 @ A @ B))))),inference(rewrite,[status(thm)],[12,311])). 116.13/30.64 thf(314,plain,(((! [A:a,B:a]: ((sk11 @ A @ B) | ~ ((sk2 @ A @ B) | (sk3 @ A @ B)))) != (! [A:a,B:a]: ((! [C:(a > (a > $o))]: ((C @ A @ B) | ~ ((sk1 @ (C)) & ! [D:a,E:a]: ((sk3 @ D @ E) => (C @ D @ E)))) | ! [C:(a > (a > $o))]: ((C @ A @ B) | ~ (! [D:a,E:a]: ((C @ D @ E) | ~ (sk2 @ D @ E)) & (sk1 @ (C))))) => (sk11 @ A @ B))))),inference(simp,[status(thm)],[313])). 116.13/30.64 thf(326,plain,(((^ [A:a]: ! [B:a]: ((sk11 @ A @ B) | ~ ((sk2 @ A @ B) | (sk3 @ A @ B)))) != (^ [A:a]: ! [B:a]: ((! [C:(a > (a > $o))]: ((C @ A @ B) | ~ ((sk1 @ C) & ! [D:a,E:a]: ((sk3 @ D @ E) => (C @ D @ E)))) | ! [C:(a > (a > $o))]: ((C @ A @ B) | ~ (! [D:a,E:a]: ((C @ D @ E) | ~ (sk2 @ D @ E)) & (sk1 @ C)))) => (sk11 @ A @ B))))),inference(simp,[status(thm)],[314])). 116.13/30.64 thf(354,plain,(((! [A:a]: ((sk11 @ sk112 @ A) | ~ ((sk2 @ sk112 @ A) | (sk3 @ sk112 @ A)))) != (! [A:a]: ((! [B:(a > (a > $o))]: ((B @ sk112 @ A) | ~ ((sk1 @ (B)) & ! [C:a,D:a]: ((sk3 @ C @ D) => (B @ C @ D)))) | ! [B:(a > (a > $o))]: ((B @ sk112 @ A) | ~ (! [C:a,D:a]: ((B @ C @ D) | ~ (sk2 @ C @ D)) & (sk1 @ (B))))) => (sk11 @ sk112 @ A))))),inference(func_ext,[status(esa)],[326])). 116.13/30.64 thf(365,plain,(((^ [A:a]: ((sk11 @ sk112 @ A) | ~ ((sk2 @ sk112 @ A) | (sk3 @ sk112 @ A)))) != (^ [A:a]: ((! [B:(a > (a > $o))]: ((B @ sk112 @ A) | ~ ((sk1 @ B) & ! [C:a,D:a]: ((sk3 @ C @ D) => (B @ C @ D)))) | ! [B:(a > (a > $o))]: ((B @ sk112 @ A) | ~ (! [C:a,D:a]: ((B @ C @ D) | ~ (sk2 @ C @ D)) & (sk1 @ B)))) => (sk11 @ sk112 @ A))))),inference(simp,[status(thm)],[354])). 116.13/30.64 thf(353,plain,(((^ [A:a,B:a]: ((sk11 @ A @ B) | ~ ((sk2 @ A @ B) | (sk3 @ A @ B)))) != (^ [A:a,B:a]: ((! [C:(a > (a > $o))]: ((C @ A @ B) | ~ ((sk1 @ C) & ! [D:a,E:a]: ((sk3 @ D @ E) => (C @ D @ E)))) | ! [C:(a > (a > $o))]: ((C @ A @ B) | ~ (! [D:a,E:a]: ((C @ D @ E) | ~ (sk2 @ D @ E)) & (sk1 @ C)))) => (sk11 @ A @ B))))),inference(simp,[status(thm)],[326])). 116.13/30.64 thf(355,plain,((((sk11 @ sk113 @ sk114) | ~ ((sk2 @ sk113 @ sk114) | (sk3 @ sk113 @ sk114))) != ((! [A:(a > (a > $o))]: ((A @ sk113 @ sk114) | ~ ((sk1 @ (A)) & ! [B:a,C:a]: ((sk3 @ B @ C) => (A @ B @ C)))) | ! [A:(a > (a > $o))]: ((A @ sk113 @ sk114) | ~ (! [B:a,C:a]: ((A @ B @ C) | ~ (sk2 @ B @ C)) & (sk1 @ (A))))) => (sk11 @ sk113 @ sk114)))),inference(func_ext,[status(esa)],[353])). 116.13/30.64 thf(392,plain,((~ ((sk11 @ sk113 @ sk114) | ~ ((sk2 @ sk113 @ sk114) | (sk3 @ sk113 @ sk114)))) | (~ ((! [A:(a > (a > $o))]: ((A @ sk113 @ sk114) | ~ ((sk1 @ (A)) & ! [B:a,C:a]: ((sk3 @ B @ C) => (A @ B @ C)))) | ! [A:(a > (a > $o))]: ((A @ sk113 @ sk114) | ~ (! [B:a,C:a]: ((A @ B @ C) | ~ (sk2 @ B @ C)) & (sk1 @ (A))))) => (sk11 @ sk113 @ sk114)))),inference(bool_ext,[status(thm)],[355])). 116.13/30.64 thf(403,plain,((~ (sk11 @ sk113 @ sk114)) | (~ (sk11 @ sk113 @ sk114))),inference(cnf,[status(esa)],[392])). 116.13/30.64 thf(404,plain,((~ (sk11 @ sk113 @ sk114))),inference(simp,[status(thm)],[403])). 116.13/30.64 thf(429,plain,(((($false) | ~ ((sk2 @ sk113 @ sk114) | (sk3 @ sk113 @ sk114))) != ((! [A:(a > (a > $o))]: ((A @ sk113 @ sk114) | ~ ((sk1 @ (A)) & ! [B:a,C:a]: ((sk3 @ B @ C) => (A @ B @ C)))) | ! [A:(a > (a > $o))]: ((A @ sk113 @ sk114) | ~ (! [B:a,C:a]: ((A @ B @ C) | ~ (sk2 @ B @ C)) & (sk1 @ (A))))) => ($false)))),inference(rewrite,[status(thm)],[355,404])). 116.13/30.64 thf(430,plain,((((sk2 @ sk113 @ sk114) | (sk3 @ sk113 @ sk114)) != (! [A:(a > (a > $o))]: ((A @ sk113 @ sk114) | ~ ((sk1 @ (A)) & ! [B:a,C:a]: ((sk3 @ B @ C) => (A @ B @ C)))) | ! [A:(a > (a > $o))]: ((A @ sk113 @ sk114) | ~ (! [B:a,C:a]: ((A @ B @ C) | ~ (sk2 @ B @ C)) & (sk1 @ (A))))))),inference(simp,[status(thm)],[429])). 116.13/30.64 thf(463,plain,((~ ((sk2 @ sk113 @ sk114) | (sk3 @ sk113 @ sk114))) | (~ (! [A:(a > (a > $o))]: ((A @ sk113 @ sk114) | ~ ((sk1 @ (A)) & ! [B:a,C:a]: ((sk3 @ B @ C) => (A @ B @ C)))) | ! [A:(a > (a > $o))]: ((A @ sk113 @ sk114) | ~ (! [B:a,C:a]: ((A @ B @ C) | ~ (sk2 @ B @ C)) & (sk1 @ (A))))))),inference(bool_ext,[status(thm)],[430])). 116.13/30.64 thf(479,plain,((~ (sk149 @ sk113 @ sk114)) | (~ (sk3 @ sk113 @ sk114))),inference(cnf,[status(esa)],[463])). 116.13/30.64 thf(7,plain,(((! [A:(a > (a > $o))]: ((! [B:a,C:a]: ((A @ B @ C) | ~ ((sk2 @ B @ C) | (sk3 @ B @ C))) & (sk1 @ (A))) => (A @ sk4 @ sk5))) != (! [A:(a > (a > $o))]: (((sk1 @ (A)) & ! [B:a,C:a]: ((! [D:(a > (a > $o))]: ((D @ B @ C) | ~ ((sk1 @ (D)) & ! [E:a,F:a]: ((sk3 @ E @ F) => (D @ E @ F)))) | ! [D:(a > (a > $o))]: ((D @ B @ C) | ~ (! [E:a,F:a]: ((D @ E @ F) | ~ (sk2 @ E @ F)) & (sk1 @ (D))))) => (A @ B @ C))) => (A @ sk4 @ sk5))))),inference(func_ext,[status(esa)],[5])). 116.13/30.64 thf(14,plain,((~ (! [A:(a > (a > $o))]: ((! [B:a,C:a]: ((A @ B @ C) | ~ ((sk2 @ B @ C) | (sk3 @ B @ C))) & (sk1 @ (A))) => (A @ sk4 @ sk5)))) | (~ (! [A:(a > (a > $o))]: (((sk1 @ (A)) & ! [B:a,C:a]: ((! [D:(a > (a > $o))]: ((D @ B @ C) | ~ ((sk1 @ (D)) & ! [E:a,F:a]: ((sk3 @ E @ F) => (D @ E @ F)))) | ! [D:(a > (a > $o))]: ((D @ B @ C) | ~ (! [E:a,F:a]: ((D @ E @ F) | ~ (sk2 @ E @ F)) & (sk1 @ (D))))) => (A @ B @ C))) => (A @ sk4 @ sk5))))),inference(bool_ext,[status(thm)],[7])). 116.13/30.64 thf(20,plain,(! [D:a,C:a,B:a,A:a] : ((sk1 @ (sk15 @ D @ C @ B @ A)) | (sk13 @ B @ A @ C @ D) | (sk1 @ (sk12)))),inference(cnf,[status(esa)],[14])). 116.13/30.64 thf(62,plain,(((! [A:a,B:a]: ((sk26 @ A @ B) | ~ ((sk2 @ A @ B) | (sk3 @ A @ B)))) != (sk1 @ (sk26))) | ((sk1 @ (sk29)) != (! [A:a,B:a]: ((! [C:(a > (a > $o))]: ((C @ A @ B) | ~ ((sk1 @ (C)) & ! [D:a,E:a]: ((sk3 @ D @ E) => (C @ D @ E)))) | ! [C:(a > (a > $o))]: ((C @ A @ B) | ~ (! [D:a,E:a]: ((C @ D @ E) | ~ (sk2 @ D @ E)) & (sk1 @ (C))))) => (sk29 @ A @ B))))),inference(func_ext,[status(esa)],[11])). 116.13/30.64 thf(164,plain,((~ (! [A:a,B:a]: ((sk26 @ A @ B) | ~ ((sk2 @ A @ B) | (sk3 @ A @ B))))) | (~ (sk1 @ (sk26))) | (sk1 @ (sk29)) | (! [A:a,B:a]: ((! [C:(a > (a > $o))]: ((C @ A @ B) | ~ ((sk1 @ (C)) & ! [D:a,E:a]: ((sk3 @ D @ E) => (C @ D @ E)))) | ! [C:(a > (a > $o))]: ((C @ A @ B) | ~ (! [D:a,E:a]: ((C @ D @ E) | ~ (sk2 @ D @ E)) & (sk1 @ (C))))) => (sk29 @ A @ B)))),inference(bool_ext,[status(thm)],[62])). 116.13/30.64 thf(205,plain,(! [B:a,A:a] : ((sk1 @ (sk56 @ B @ A)) | (sk29 @ A @ B) | (sk1 @ (sk29)) | (~ (sk1 @ (sk26))) | (sk2 @ sk54 @ sk55) | (sk3 @ sk54 @ sk55))),inference(cnf,[status(esa)],[164])). 116.13/30.64 thf(1129,plain,(! [F:a,E:a,D:a,C:a,B:a,A:a] : ((sk13 @ B @ A @ C @ D) | (sk1 @ (sk12)) | (sk1 @ (sk56 @ F @ E)) | (sk29 @ E @ F) | (sk1 @ (sk29)) | (sk2 @ sk54 @ sk55) | (sk3 @ sk54 @ sk55) | ((sk1 @ (sk15 @ D @ C @ B @ A)) != (sk1 @ (sk26))))),inference(paramod_ordered,[status(thm)],[20,205])). 116.13/30.64 thf(1185,plain,(! [F:a,E:a,D:a,C:a,B:a,A:a] : ((sk13 @ B @ A @ C @ D) | (sk1 @ (sk12)) | (sk1 @ (sk56 @ F @ E)) | (sk29 @ E @ F) | (sk1 @ (sk29)) | (sk2 @ sk54 @ sk55) | (sk3 @ sk54 @ sk55) | ((sk15 @ D @ C @ B @ A) != (sk26)))),inference(simp,[status(thm)],[1129])). 116.13/30.64 thf(1500,plain,(! [F:a,E:a,D:a,C:a,B:a,A:a] : (((sk15 @ D @ C @ B @ A @ (sk401 @ F @ E @ D @ C @ B @ A) @ (sk402 @ F @ E @ D @ C @ B @ A)) != (sk26 @ (sk401 @ F @ E @ D @ C @ B @ A) @ (sk402 @ F @ E @ D @ C @ B @ A))) | (sk13 @ B @ A @ C @ D) | (sk1 @ (sk12)) | (sk1 @ (sk56 @ F @ E)) | (sk29 @ E @ F) | (sk1 @ (sk29)) | (sk2 @ sk54 @ sk55) | (sk3 @ sk54 @ sk55))),inference(func_ext,[status(esa)],[1185])). 116.13/30.64 thf(1751,plain,(! [F:a,E:a,D:a,C:a,B:a,A:a] : ((sk13 @ B @ A @ C @ D) | (sk1 @ (sk12)) | (sk1 @ (sk56 @ F @ E)) | (sk29 @ E @ F) | (sk1 @ (sk29)) | (sk2 @ sk54 @ sk55) | (sk3 @ sk54 @ sk55) | (sk15 @ D @ C @ B @ A @ (sk401 @ F @ E @ D @ C @ B @ A) @ (sk402 @ F @ E @ D @ C @ B @ A)) | (sk26 @ (sk401 @ F @ E @ D @ C @ B @ A) @ (sk402 @ F @ E @ D @ C @ B @ A)))),inference(bool_ext,[status(thm)],[1500])). 116.13/30.64 thf(1881,plain,(! [H:a,G:a,F:a,E:a,D:a,C:a,B:a,A:a] : ((sk13 @ B @ A @ C @ D) | (sk1 @ (sk12)) | (sk29 @ E @ F) | (sk1 @ (sk29)) | (sk2 @ sk54 @ sk55) | (sk3 @ sk54 @ sk55) | (sk15 @ D @ C @ B @ A @ (sk401 @ F @ E @ D @ C @ B @ A) @ (sk402 @ F @ E @ D @ C @ B @ A)) | (sk26 @ (sk401 @ F @ E @ D @ C @ B @ A) @ (sk402 @ F @ E @ D @ C @ B @ A)) | (sk1 @ (sk56 @ H @ G)) | (sk29 @ G @ H) | ((sk1 @ (sk56 @ F @ E)) != (sk1 @ (sk26))))),inference(paramod_ordered,[status(thm)],[1751,205])). 116.13/30.64 thf(1899,plain,(! [H:a,G:a,F:a,E:a,D:a,C:a,B:a,A:a] : ((sk13 @ B @ A @ C @ D) | (sk1 @ (sk12)) | (sk29 @ E @ F) | (sk1 @ (sk29)) | (sk2 @ sk54 @ sk55) | (sk3 @ sk54 @ sk55) | (sk15 @ D @ C @ B @ A @ (sk401 @ F @ E @ D @ C @ B @ A) @ (sk402 @ F @ E @ D @ C @ B @ A)) | (sk26 @ (sk401 @ F @ E @ D @ C @ B @ A) @ (sk402 @ F @ E @ D @ C @ B @ A)) | (sk1 @ (sk56 @ H @ G)) | (sk29 @ G @ H) | ((sk56 @ F @ E) != (sk26)))),inference(simp,[status(thm)],[1881])). 116.13/30.64 thf(69,plain,(((! [A:a,B:a]: ((sk8 @ A @ B) | ~ ((sk2 @ A @ B) | (sk3 @ A @ B))) & (sk1 @ (sk8))) != ((sk1 @ (sk8)) & ! [A:a,B:a]: ((! [C:(a > (a > $o))]: ((C @ A @ B) | ~ ((sk1 @ (C)) & ! [D:a,E:a]: ((sk3 @ D @ E) => (C @ D @ E)))) | ! [C:(a > (a > $o))]: ((C @ A @ B) | ~ (! [D:a,E:a]: ((C @ D @ E) | ~ (sk2 @ D @ E)) & (sk1 @ (C))))) => (sk8 @ A @ B)))) | ((sk8 @ sk6 @ sk7) != (sk8 @ sk6 @ sk7))),inference(simp,[status(thm)],[9])). 116.13/30.64 thf(88,plain,(((! [A:a,B:a]: ((sk8 @ A @ B) | ~ ((sk2 @ A @ B) | (sk3 @ A @ B))) & (sk1 @ (sk8))) != ((sk1 @ (sk8)) & ! [A:a,B:a]: ((! [C:(a > (a > $o))]: ((C @ A @ B) | ~ ((sk1 @ (C)) & ! [D:a,E:a]: ((sk3 @ D @ E) => (C @ D @ E)))) | ! [C:(a > (a > $o))]: ((C @ A @ B) | ~ (! [D:a,E:a]: ((C @ D @ E) | ~ (sk2 @ D @ E)) & (sk1 @ (C))))) => (sk8 @ A @ B))))),inference(simp,[status(thm)],[69])). 116.13/30.64 thf(483,plain,(((! [A:a,B:a]: ((sk8 @ A @ B) | ~ ((sk2 @ A @ B) | (sk3 @ A @ B))) & ($true)) != (($true) & ! [A:a,B:a]: ((! [C:(a > (a > $o))]: ((C @ A @ B) | ~ ((sk1 @ (C)) & ! [D:a,E:a]: ((sk3 @ D @ E) => (C @ D @ E)))) | ! [C:(a > (a > $o))]: ((C @ A @ B) | ~ (! [D:a,E:a]: ((C @ D @ E) | ~ (sk2 @ D @ E)) & (sk1 @ (C))))) => (sk8 @ A @ B))))),inference(rewrite,[status(thm)],[88,121])). 116.13/30.64 thf(484,plain,(((! [A:a,B:a]: ((sk8 @ A @ B) | ~ ((sk2 @ A @ B) | (sk3 @ A @ B)))) != (! [A:a,B:a]: ((! [C:(a > (a > $o))]: ((C @ A @ B) | ~ ((sk1 @ (C)) & ! [D:a,E:a]: ((sk3 @ D @ E) => (C @ D @ E)))) | ! [C:(a > (a > $o))]: ((C @ A @ B) | ~ (! [D:a,E:a]: ((C @ D @ E) | ~ (sk2 @ D @ E)) & (sk1 @ (C))))) => (sk8 @ A @ B))))),inference(simp,[status(thm)],[483])). 116.13/30.64 thf(485,plain,(((^ [A:a]: ! [B:a]: ((sk8 @ A @ B) | ~ ((sk2 @ A @ B) | (sk3 @ A @ B)))) != (^ [A:a]: ! [B:a]: ((! [C:(a > (a > $o))]: ((C @ A @ B) | ~ ((sk1 @ C) & ! [D:a,E:a]: ((sk3 @ D @ E) => (C @ D @ E)))) | ! [C:(a > (a > $o))]: ((C @ A @ B) | ~ (! [D:a,E:a]: ((C @ D @ E) | ~ (sk2 @ D @ E)) & (sk1 @ C)))) => (sk8 @ A @ B))))),inference(simp,[status(thm)],[484])). 116.13/30.64 thf(513,plain,(((! [A:a]: ((sk8 @ sk161 @ A) | ~ ((sk2 @ sk161 @ A) | (sk3 @ sk161 @ A)))) != (! [A:a]: ((! [B:(a > (a > $o))]: ((B @ sk161 @ A) | ~ ((sk1 @ (B)) & ! [C:a,D:a]: ((sk3 @ C @ D) => (B @ C @ D)))) | ! [B:(a > (a > $o))]: ((B @ sk161 @ A) | ~ (! [C:a,D:a]: ((B @ C @ D) | ~ (sk2 @ C @ D)) & (sk1 @ (B))))) => (sk8 @ sk161 @ A))))),inference(func_ext,[status(esa)],[485])). 116.13/30.64 thf(555,plain,(((^ [A:a]: ((sk8 @ sk161 @ A) | ~ ((sk2 @ sk161 @ A) | (sk3 @ sk161 @ A)))) != (^ [A:a]: ((! [B:(a > (a > $o))]: ((B @ sk161 @ A) | ~ ((sk1 @ B) & ! [C:a,D:a]: ((sk3 @ C @ D) => (B @ C @ D)))) | ! [B:(a > (a > $o))]: ((B @ sk161 @ A) | ~ (! [C:a,D:a]: ((B @ C @ D) | ~ (sk2 @ C @ D)) & (sk1 @ B)))) => (sk8 @ sk161 @ A))))),inference(simp,[status(thm)],[513])). 116.13/30.64 thf(26,plain,(! [D:a,C:a,B:a,A:a] : ((sk1 @ (sk14 @ D @ C @ B @ A)) | (sk13 @ B @ A @ C @ D) | (sk1 @ (sk12)))),inference(cnf,[status(esa)],[14])). 116.13/30.64 thf(39,plain,(! [B:a,A:a] : ((~ (sk13 @ B @ A @ sk4 @ sk5)) | (sk1 @ (sk12)))),inference(cnf,[status(esa)],[14])). 116.13/30.64 thf(761,plain,(! [F:a,E:a,D:a,C:a,B:a,A:a] : ((sk1 @ (sk14 @ D @ C @ B @ A)) | (sk1 @ (sk12)) | ((sk13 @ B @ A @ C @ D) != (sk13 @ F @ E @ sk4 @ sk5)))),inference(paramod_ordered,[status(thm)],[26,39])). 116.13/30.64 thf(762,plain,(! [B:a,A:a] : ((sk1 @ (sk14 @ sk5 @ sk4 @ B @ A)) | (sk1 @ (sk12)))),inference(pattern_uni,[status(thm)],[761:[bind(A, $thf(A)),bind(B, $thf(B)),bind(C, $thf(sk4)),bind(D, $thf(sk5)),bind(E, $thf(A)),bind(F, $thf(B))]])). 116.13/30.64 thf(900,plain,(! [B:a,A:a] : ((sk1 @ (sk12)) | ((sk1 @ (sk14 @ sk5 @ sk4 @ B @ A)) != (sk1 @ (sk12))) | ~ ($true))),inference(eqfactor_ordered,[status(thm)],[762])). 116.13/30.64 thf(903,plain,(! [B:a,A:a] : ((sk1 @ (sk12)) | ((sk14 @ sk5 @ sk4 @ B @ A) != (sk12)))),inference(simp,[status(thm)],[900])). 116.13/30.64 thf(999,plain,(! [B:a,A:a] : (((sk14 @ sk5 @ sk4 @ B @ A @ (sk330 @ B @ A) @ (sk331 @ B @ A)) != (sk12 @ (sk330 @ B @ A) @ (sk331 @ B @ A))) | (sk1 @ (sk12)))),inference(func_ext,[status(esa)],[903])). 116.13/30.64 thf(3317,plain,(! [B:a,A:a] : ((sk1 @ (sk12)) | (sk14 @ sk5 @ sk4 @ B @ A @ (sk330 @ B @ A) @ (sk331 @ B @ A)) | (sk12 @ (sk330 @ B @ A) @ (sk331 @ B @ A)))),inference(bool_ext,[status(thm)],[999])). 116.13/30.64 thf(512,plain,(((^ [A:a,B:a]: ((sk8 @ A @ B) | ~ ((sk2 @ A @ B) | (sk3 @ A @ B)))) != (^ [A:a,B:a]: ((! [C:(a > (a > $o))]: ((C @ A @ B) | ~ ((sk1 @ C) & ! [D:a,E:a]: ((sk3 @ D @ E) => (C @ D @ E)))) | ! [C:(a > (a > $o))]: ((C @ A @ B) | ~ (! [D:a,E:a]: ((C @ D @ E) | ~ (sk2 @ D @ E)) & (sk1 @ C)))) => (sk8 @ A @ B))))),inference(simp,[status(thm)],[485])). 116.13/30.64 thf(514,plain,((((sk8 @ sk162 @ sk163) | ~ ((sk2 @ sk162 @ sk163) | (sk3 @ sk162 @ sk163))) != ((! [A:(a > (a > $o))]: ((A @ sk162 @ sk163) | ~ ((sk1 @ (A)) & ! [B:a,C:a]: ((sk3 @ B @ C) => (A @ B @ C)))) | ! [A:(a > (a > $o))]: ((A @ sk162 @ sk163) | ~ (! [B:a,C:a]: ((A @ B @ C) | ~ (sk2 @ B @ C)) & (sk1 @ (A))))) => (sk8 @ sk162 @ sk163)))),inference(func_ext,[status(esa)],[512])). 116.13/30.64 thf(583,plain,(((sk8 @ sk162 @ sk163) | ~ ((sk2 @ sk162 @ sk163) | (sk3 @ sk162 @ sk163))) | ((! [A:(a > (a > $o))]: ((A @ sk162 @ sk163) | ~ ((sk1 @ (A)) & ! [B:a,C:a]: ((sk3 @ B @ C) => (A @ B @ C)))) | ! [A:(a > (a > $o))]: ((A @ sk162 @ sk163) | ~ (! [B:a,C:a]: ((A @ B @ C) | ~ (sk2 @ B @ C)) & (sk1 @ (A))))) => (sk8 @ sk162 @ sk163))),inference(bool_ext,[status(thm)],[514])). 116.13/30.64 thf(595,plain,((~ (sk200 @ sk162 @ sk163)) | (sk8 @ sk162 @ sk163) | (sk8 @ sk162 @ sk163) | (~ (sk3 @ sk162 @ sk163))),inference(cnf,[status(esa)],[583])). 116.13/30.64 thf(618,plain,((~ (sk200 @ sk162 @ sk163)) | (sk8 @ sk162 @ sk163) | (~ (sk3 @ sk162 @ sk163))),inference(simp,[status(thm)],[595])). 116.13/30.64 thf(582,plain,((~ ((sk8 @ sk162 @ sk163) | ~ ((sk2 @ sk162 @ sk163) | (sk3 @ sk162 @ sk163)))) | (~ ((! [A:(a > (a > $o))]: ((A @ sk162 @ sk163) | ~ ((sk1 @ (A)) & ! [B:a,C:a]: ((sk3 @ B @ C) => (A @ B @ C)))) | ! [A:(a > (a > $o))]: ((A @ sk162 @ sk163) | ~ (! [B:a,C:a]: ((A @ B @ C) | ~ (sk2 @ B @ C)) & (sk1 @ (A))))) => (sk8 @ sk162 @ sk163)))),inference(bool_ext,[status(thm)],[514])). 116.13/30.64 thf(588,plain,((~ (sk8 @ sk162 @ sk163)) | (~ (sk8 @ sk162 @ sk163))),inference(cnf,[status(esa)],[582])). 116.13/30.64 thf(594,plain,((~ (sk8 @ sk162 @ sk163))),inference(simp,[status(thm)],[588])). 116.13/30.64 thf(3857,plain,((~ (sk200 @ sk162 @ sk163)) | $false | (~ (sk3 @ sk162 @ sk163))),inference(rewrite,[status(thm)],[618,594])). 116.13/30.64 thf(3858,plain,((~ (sk200 @ sk162 @ sk163)) | (~ (sk3 @ sk162 @ sk163))),inference(simp,[status(thm)],[3857])). 116.13/30.64 thf(619,plain,(((($false) | ~ ((sk2 @ sk162 @ sk163) | (sk3 @ sk162 @ sk163))) != ((! [A:(a > (a > $o))]: ((A @ sk162 @ sk163) | ~ ((sk1 @ (A)) & ! [B:a,C:a]: ((sk3 @ B @ C) => (A @ B @ C)))) | ! [A:(a > (a > $o))]: ((A @ sk162 @ sk163) | ~ (! [B:a,C:a]: ((A @ B @ C) | ~ (sk2 @ B @ C)) & (sk1 @ (A))))) => ($false)))),inference(rewrite,[status(thm)],[514,594])). 116.13/30.64 thf(620,plain,((((sk2 @ sk162 @ sk163) | (sk3 @ sk162 @ sk163)) != (! [A:(a > (a > $o))]: ((A @ sk162 @ sk163) | ~ ((sk1 @ (A)) & ! [B:a,C:a]: ((sk3 @ B @ C) => (A @ B @ C)))) | ! [A:(a > (a > $o))]: ((A @ sk162 @ sk163) | ~ (! [B:a,C:a]: ((A @ B @ C) | ~ (sk2 @ B @ C)) & (sk1 @ (A))))))),inference(simp,[status(thm)],[619])). 116.13/30.64 thf(668,plain,((~ ((sk2 @ sk162 @ sk163) | (sk3 @ sk162 @ sk163))) | (~ (! [A:(a > (a > $o))]: ((A @ sk162 @ sk163) | ~ ((sk1 @ (A)) & ! [B:a,C:a]: ((sk3 @ B @ C) => (A @ B @ C)))) | ! [A:(a > (a > $o))]: ((A @ sk162 @ sk163) | ~ (! [B:a,C:a]: ((A @ B @ C) | ~ (sk2 @ B @ C)) & (sk1 @ (A))))))),inference(bool_ext,[status(thm)],[620])). 116.13/30.64 thf(677,plain,((~ (sk226 @ sk162 @ sk163)) | (~ (sk2 @ sk162 @ sk163))),inference(cnf,[status(esa)],[668])). 116.13/30.64 thf(162,plain,((~ (! [A:a,B:a]: ((sk26 @ A @ B) | ~ ((sk2 @ A @ B) | (sk3 @ A @ B))))) | (~ (sk1 @ (sk26))) | (~ (sk1 @ (sk29))) | (~ (! [A:a,B:a]: ((! [C:(a > (a > $o))]: ((C @ A @ B) | ~ ((sk1 @ (C)) & ! [D:a,E:a]: ((sk3 @ D @ E) => (C @ D @ E)))) | ! [C:(a > (a > $o))]: ((C @ A @ B) | ~ (! [D:a,E:a]: ((C @ D @ E) | ~ (sk2 @ D @ E)) & (sk1 @ (C))))) => (sk29 @ A @ B))))),inference(bool_ext,[status(thm)],[62])). 116.13/30.64 thf(185,plain,((~ (sk29 @ sk42 @ sk43)) | (~ (sk1 @ (sk29))) | (~ (sk1 @ (sk26))) | (~ (sk26 @ sk40 @ sk41))),inference(cnf,[status(esa)],[162])). 116.13/30.64 thf(825,plain,((~ (sk29 @ sk42 @ sk43)) | (~ (sk1 @ (sk26))) | (~ (sk26 @ sk40 @ sk41)) | ((sk1 @ (sk29)) != (sk1 @ (sk8)))),inference(paramod_ordered,[status(thm)],[121,185])). 116.13/30.64 thf(872,plain,((~ (sk29 @ sk42 @ sk43)) | (~ (sk1 @ (sk26))) | (~ (sk26 @ sk40 @ sk41)) | ((sk29) != (sk8))),inference(simp,[status(thm)],[825])). 116.13/30.64 thf(1450,plain,((~ (sk29 @ sk42 @ sk43)) | (~ (sk26 @ sk40 @ sk41)) | ((sk29) != (sk8)) | ((sk1 @ (sk26)) != (sk1 @ (sk8)))),inference(paramod_ordered,[status(thm)],[121,872])). 116.13/30.64 thf(1486,plain,((~ (sk29 @ sk42 @ sk43)) | (~ (sk26 @ sk40 @ sk41)) | ((sk29) != (sk8)) | ((sk26) != (sk8))),inference(simp,[status(thm)],[1450])). 116.13/30.64 thf(393,plain,(((sk11 @ sk113 @ sk114) | ~ ((sk2 @ sk113 @ sk114) | (sk3 @ sk113 @ sk114))) | ((! [A:(a > (a > $o))]: ((A @ sk113 @ sk114) | ~ ((sk1 @ (A)) & ! [B:a,C:a]: ((sk3 @ B @ C) => (A @ B @ C)))) | ! [A:(a > (a > $o))]: ((A @ sk113 @ sk114) | ~ (! [B:a,C:a]: ((A @ B @ C) | ~ (sk2 @ B @ C)) & (sk1 @ (A))))) => (sk11 @ sk113 @ sk114))),inference(bool_ext,[status(thm)],[355])). 116.13/30.64 thf(411,plain,((~ (sk127 @ sk113 @ sk114)) | (sk11 @ sk113 @ sk114) | (sk11 @ sk113 @ sk114) | (~ (sk3 @ sk113 @ sk114))),inference(cnf,[status(esa)],[393])). 116.13/30.64 thf(419,plain,((~ (sk127 @ sk113 @ sk114)) | (sk11 @ sk113 @ sk114) | (~ (sk3 @ sk113 @ sk114))),inference(simp,[status(thm)],[411])). 116.13/30.64 thf(1787,plain,((~ (sk127 @ sk113 @ sk114)) | $false | (~ (sk3 @ sk113 @ sk114))),inference(rewrite,[status(thm)],[419,404])). 116.13/30.64 thf(1788,plain,((~ (sk127 @ sk113 @ sk114)) | (~ (sk3 @ sk113 @ sk114))),inference(simp,[status(thm)],[1787])). 116.13/30.64 thf(472,plain,((sk1 @ (sk149)) | (~ (sk3 @ sk113 @ sk114))),inference(cnf,[status(esa)],[463])). 116.13/30.64 thf(670,plain,((sk1 @ (sk226)) | (~ (sk2 @ sk162 @ sk163))),inference(cnf,[status(esa)],[668])). 116.13/30.64 thf(24,plain,(! [D:a,C:a,B:a,A:a] : ((sk1 @ (sk15 @ D @ C @ B @ A)) | (sk13 @ B @ A @ C @ D) | (sk12 @ A @ B) | (~ (sk2 @ A @ B)))),inference(cnf,[status(esa)],[14])). 116.13/30.64 thf(37,plain,(! [D:a,C:a,B:a,A:a] : ((~ (sk14 @ D @ C @ B @ A @ C @ D)) | (sk13 @ B @ A @ C @ D) | (sk12 @ A @ B) | (~ (sk2 @ A @ B)))),inference(cnf,[status(esa)],[14])). 116.13/30.64 thf(25,plain,(! [B:a,A:a] : ((sk1 @ (sk13 @ B @ A)) | (~ (sk12 @ sk4 @ sk5)))),inference(cnf,[status(esa)],[14])). 116.13/30.64 thf(623,plain,(! [F:a,E:a,D:a,C:a,B:a,A:a] : ((sk1 @ (sk15 @ D @ C @ B @ A)) | (sk1 @ (sk12)) | ((sk13 @ B @ A @ C @ D) != (sk13 @ F @ E @ sk4 @ sk5)))),inference(paramod_ordered,[status(thm)],[20,39])). 116.13/30.64 thf(624,plain,(! [B:a,A:a] : ((sk1 @ (sk15 @ sk5 @ sk4 @ B @ A)) | (sk1 @ (sk12)))),inference(pattern_uni,[status(thm)],[623:[bind(A, $thf(A)),bind(B, $thf(B)),bind(C, $thf(sk4)),bind(D, $thf(sk5)),bind(E, $thf(A)),bind(F, $thf(B))]])). 116.13/30.64 thf(721,plain,(! [B:a,A:a] : ((sk1 @ (sk12)) | ((sk1 @ (sk15 @ sk5 @ sk4 @ B @ A)) != (sk1 @ (sk12))) | ~ ($true))),inference(eqfactor_ordered,[status(thm)],[624])). 116.13/30.64 thf(724,plain,(! [B:a,A:a] : ((sk1 @ (sk12)) | ((sk1 @ (sk15 @ sk5 @ sk4 @ B @ A)) != (sk1 @ (sk12))))),inference(simp,[status(thm)],[721])). 116.13/30.64 thf(100,plain,((~ (sk8 @ sk6 @ sk7)) | (~ (sk8 @ sk6 @ sk7))),inference(cnf,[status(esa)],[70])). 116.13/30.64 thf(125,plain,((~ (sk8 @ sk6 @ sk7))),inference(simp,[status(thm)],[100])). 116.13/30.64 thf(327,plain,((~ (! [A:a,B:a]: ((sk11 @ A @ B) | ~ ((sk2 @ A @ B) | (sk3 @ A @ B))))) | (~ (! [A:a,B:a]: ((! [C:(a > (a > $o))]: ((C @ A @ B) | ~ ((sk1 @ (C)) & ! [D:a,E:a]: ((sk3 @ D @ E) => (C @ D @ E)))) | ! [C:(a > (a > $o))]: ((C @ A @ B) | ~ (! [D:a,E:a]: ((C @ D @ E) | ~ (sk2 @ D @ E)) & (sk1 @ (C))))) => (sk11 @ A @ B))))),inference(bool_ext,[status(thm)],[314])). 116.13/30.64 thf(332,plain,((~ (sk11 @ sk104 @ sk105)) | (~ (sk11 @ sk102 @ sk103))),inference(cnf,[status(esa)],[327])). 116.13/30.64 thf(356,plain,((~ (sk11 @ sk102 @ sk103)) | ((sk11 @ sk104 @ sk105) != (sk11 @ sk102 @ sk103)) | ~ ($true)),inference(eqfactor_ordered,[status(thm)],[332])). 116.13/30.64 thf(357,plain,((~ (sk11 @ sk102 @ sk103)) | ((sk11 @ sk104 @ sk105) != (sk11 @ sk102 @ sk103))),inference(simp,[status(thm)],[356])). 116.13/30.64 thf(13,plain,(((^ [A:(a > (a > $o))]: ((! [B:a,C:a]: ((A @ B @ C) | ~ ((sk2 @ B @ C) | (sk3 @ B @ C))) & (sk1 @ A)) => (A @ sk4 @ sk5))) != (^ [A:(a > (a > $o))]: (((sk1 @ A) & ! [B:a,C:a]: ((! [D:(a > (a > $o))]: ((D @ B @ C) | ~ ((sk1 @ D) & ! [E:a,F:a]: ((sk3 @ E @ F) => (D @ E @ F)))) | ! [D:(a > (a > $o))]: ((D @ B @ C) | ~ (! [E:a,F:a]: ((D @ E @ F) | ~ (sk2 @ E @ F)) & (sk1 @ D)))) => (A @ B @ C))) => (A @ sk4 @ sk5))))),inference(simp,[status(thm)],[7])). 116.13/30.64 thf(156,plain,(((^ [A:(a > (a > $o))]: (! [B:a,C:a]: ((A @ B @ C) | ~ ((sk2 @ B @ C) | (sk3 @ B @ C))) & (sk1 @ A))) != (^ [A:(a > (a > $o))]: ((sk1 @ A) & ! [B:a,C:a]: ((! [D:(a > (a > $o))]: ((D @ B @ C) | ~ ((sk1 @ D) & ! [E:a,F:a]: ((sk3 @ E @ F) => (D @ E @ F)))) | ! [D:(a > (a > $o))]: ((D @ B @ C) | ~ (! [E:a,F:a]: ((D @ E @ F) | ~ (sk2 @ E @ F)) & (sk1 @ D)))) => (A @ B @ C))))) | ((^ [A:(a > (a > $o))]: (A @ sk4 @ sk5)) != (^ [A:(a > (a > $o))]: (A @ sk4 @ sk5)))),inference(simp,[status(thm)],[13])). 116.13/30.64 thf(157,plain,(((^ [A:(a > (a > $o))]: (! [B:a,C:a]: ((A @ B @ C) | ~ ((sk2 @ B @ C) | (sk3 @ B @ C))) & (sk1 @ A))) != (^ [A:(a > (a > $o))]: ((sk1 @ A) & ! [B:a,C:a]: ((! [D:(a > (a > $o))]: ((D @ B @ C) | ~ ((sk1 @ D) & ! [E:a,F:a]: ((sk3 @ E @ F) => (D @ E @ F)))) | ! [D:(a > (a > $o))]: ((D @ B @ C) | ~ (! [E:a,F:a]: ((D @ E @ F) | ~ (sk2 @ E @ F)) & (sk1 @ D)))) => (A @ B @ C)))))),inference(simp,[status(thm)],[156])). 116.13/30.64 thf(902,plain,(! [B:a,A:a] : ((sk1 @ (sk12)) | ((sk1 @ (sk14 @ sk5 @ sk4 @ B @ A)) != (sk1 @ (sk12))))),inference(simp,[status(thm)],[900])). 116.13/30.64 thf(826,plain,((~ (sk29 @ sk42 @ sk43)) | (~ (sk1 @ (sk29))) | (~ (sk26 @ sk40 @ sk41)) | ((sk1 @ (sk26)) != (sk1 @ (sk8)))),inference(paramod_ordered,[status(thm)],[121,185])). 116.13/30.64 thf(881,plain,((~ (sk29 @ sk42 @ sk43)) | (~ (sk1 @ (sk29))) | (~ (sk26 @ sk40 @ sk41)) | ((sk26) != (sk8))),inference(simp,[status(thm)],[826])). 116.13/30.64 thf(29,plain,(! [D:a,C:a,B:a,A:a] : ((~ (sk14 @ D @ C @ B @ A @ C @ D)) | (sk13 @ B @ A @ C @ D) | (~ (sk12 @ sk4 @ sk5)))),inference(cnf,[status(esa)],[14])). 116.13/30.64 thf(475,plain,((sk1 @ (sk150)) | (~ (sk2 @ sk113 @ sk114))),inference(cnf,[status(esa)],[463])). 116.13/30.64 thf(486,plain,((~ (! [A:a,B:a]: ((sk8 @ A @ B) | ~ ((sk2 @ A @ B) | (sk3 @ A @ B))))) | (~ (! [A:a,B:a]: ((! [C:(a > (a > $o))]: ((C @ A @ B) | ~ ((sk1 @ (C)) & ! [D:a,E:a]: ((sk3 @ D @ E) => (C @ D @ E)))) | ! [C:(a > (a > $o))]: ((C @ A @ B) | ~ (! [D:a,E:a]: ((C @ D @ E) | ~ (sk2 @ D @ E)) & (sk1 @ (C))))) => (sk8 @ A @ B))))),inference(bool_ext,[status(thm)],[484])). 116.13/30.64 thf(492,plain,((~ (sk8 @ sk153 @ sk154)) | (sk2 @ sk151 @ sk152) | (sk3 @ sk151 @ sk152)),inference(cnf,[status(esa)],[486])). 116.13/30.64 thf(366,plain,((~ (! [A:a]: ((sk11 @ sk112 @ A) | ~ ((sk2 @ sk112 @ A) | (sk3 @ sk112 @ A))))) | (~ (! [A:a]: ((! [B:(a > (a > $o))]: ((B @ sk112 @ A) | ~ ((sk1 @ (B)) & ! [C:a,D:a]: ((sk3 @ C @ D) => (B @ C @ D)))) | ! [B:(a > (a > $o))]: ((B @ sk112 @ A) | ~ (! [C:a,D:a]: ((B @ C @ D) | ~ (sk2 @ C @ D)) & (sk1 @ (B))))) => (sk11 @ sk112 @ A))))),inference(bool_ext,[status(thm)],[354])). 116.13/30.64 thf(376,plain,((~ (sk11 @ sk112 @ sk116)) | (sk2 @ sk112 @ sk115) | (sk3 @ sk112 @ sk115)),inference(cnf,[status(esa)],[366])). 116.13/30.64 thf(253,plain,(((! [A:a,B:a]: ((sk11 @ A @ B) | ~ ((sk2 @ A @ B) | (sk3 @ A @ B)))) != (sk1 @ (sk11))) | ((sk1 @ (sk11)) != (! [A:a,B:a]: ((! [C:(a > (a > $o))]: ((C @ A @ B) | ~ ((sk1 @ (C)) & ! [D:a,E:a]: ((sk3 @ D @ E) => (C @ D @ E)))) | ! [C:(a > (a > $o))]: ((C @ A @ B) | ~ (! [D:a,E:a]: ((C @ D @ E) | ~ (sk2 @ D @ E)) & (sk1 @ (C))))) => (sk11 @ A @ B))))),inference(simp,[status(thm)],[12])). 116.13/30.64 thf(1572,plain,((~ (! [A:a,B:a]: ((sk11 @ A @ B) | ~ ((sk2 @ A @ B) | (sk3 @ A @ B))))) | (~ (! [A:a,B:a]: ((! [C:(a > (a > $o))]: ((C @ A @ B) | ~ ((sk1 @ (C)) & ! [D:a,E:a]: ((sk3 @ D @ E) => (C @ D @ E)))) | ! [C:(a > (a > $o))]: ((C @ A @ B) | ~ (! [D:a,E:a]: ((C @ D @ E) | ~ (sk2 @ D @ E)) & (sk1 @ (C))))) => (sk11 @ A @ B))))),inference(rewrite,[status(thm)],[253,311])). 116.13/30.64 thf(1581,plain,((~ (sk11 @ sk429 @ sk430)) | (~ (sk11 @ sk427 @ sk428))),inference(cnf,[status(esa)],[1572])). 116.13/30.64 thf(3067,plain,((~ (sk8 @ sk462 @ sk463)) | (~ (sk11 @ sk460 @ sk461)) | ((sk11 @ sk462 @ sk463) != (sk11 @ sk460 @ sk461)) | ~ ($true)),inference(eqfactor_ordered,[status(thm)],[2163])). 116.13/30.64 thf(3068,plain,((~ (sk8 @ sk462 @ sk463)) | (~ (sk11 @ sk460 @ sk461)) | ((sk11 @ sk462 @ sk463) != (sk11 @ sk460 @ sk461))),inference(simp,[status(thm)],[3067])). 116.13/30.64 thf(416,plain,((~ (sk128 @ sk113 @ sk114)) | (sk11 @ sk113 @ sk114) | (sk11 @ sk113 @ sk114) | (~ (sk2 @ sk113 @ sk114))),inference(cnf,[status(esa)],[393])). 116.13/30.64 thf(418,plain,((~ (sk128 @ sk113 @ sk114)) | (sk11 @ sk113 @ sk114) | (~ (sk2 @ sk113 @ sk114))),inference(simp,[status(thm)],[416])). 116.13/30.64 thf(1621,plain,((~ (sk128 @ sk113 @ sk114)) | $false | (~ (sk2 @ sk113 @ sk114))),inference(rewrite,[status(thm)],[418,404])). 116.13/30.64 thf(1622,plain,((~ (sk128 @ sk113 @ sk114)) | (~ (sk2 @ sk113 @ sk114))),inference(simp,[status(thm)],[1621])). 116.13/30.64 thf(725,plain,(! [B:a,A:a] : ((sk1 @ (sk12)) | ((sk15 @ sk5 @ sk4 @ B @ A) != (sk12)))),inference(simp,[status(thm)],[721])). 116.13/30.64 thf(998,plain,(! [B:a,A:a] : (((sk15 @ sk5 @ sk4 @ B @ A @ (sk328 @ B @ A) @ (sk329 @ B @ A)) != (sk12 @ (sk328 @ B @ A) @ (sk329 @ B @ A))) | (sk1 @ (sk12)))),inference(func_ext,[status(esa)],[725])). 116.13/30.64 thf(65,plain,(((^ [A:a,B:a,C:(a > (a > $o))]: ! [D:a,E:a]: ((C @ D @ E) | ~ ((sk2 @ D @ E) | (sk3 @ D @ E)))) != (^ [A:a,B:a]: (sk1))) | ((^ [A:a,B:a,C:(a > (a > $o)),D:a]: ! [E:a]: ((! [F:(a > (a > $o))]: ((F @ D @ E) | ~ ((sk1 @ F) & ! [G:a,H:a]: ((sk3 @ G @ H) => (F @ G @ H)))) | ! [F:(a > (a > $o))]: ((F @ D @ E) | ~ (! [G:a,H:a]: ((F @ G @ H) | ~ (sk2 @ G @ H)) & (sk1 @ F)))) => (C @ D @ E))) != (^ [A:a,B:a,C:(a > (a > $o)),D:a]: ! [E:a]: ((C @ D @ E) | ~ ((sk2 @ D @ E) | (sk3 @ D @ E)))))),inference(simp,[status(thm)],[63])). 116.13/30.64 thf(1382,plain,(((! [A:a,B:a]: ((sk394 @ A @ B) | ~ ((sk2 @ A @ B) | (sk3 @ A @ B)))) != (sk1 @ (sk394))) | ((! [A:a]: ((! [B:(a > (a > $o))]: ((B @ sk398 @ A) | ~ ((sk1 @ (B)) & ! [C:a,D:a]: ((sk3 @ C @ D) => (B @ C @ D)))) | ! [B:(a > (a > $o))]: ((B @ sk398 @ A) | ~ (! [C:a,D:a]: ((B @ C @ D) | ~ (sk2 @ C @ D)) & (sk1 @ (B))))) => (sk397 @ sk398 @ A))) != (! [A:a]: ((sk397 @ sk398 @ A) | ~ ((sk2 @ sk398 @ A) | (sk3 @ sk398 @ A)))))),inference(func_ext,[status(esa)],[65])). 116.13/30.64 thf(3327,plain,(((! [A:a,B:a]: ((sk394 @ A @ B) | ~ ((sk2 @ A @ B) | (sk3 @ A @ B)))) != (sk1 @ (sk394))) | ((^ [A:a]: ((! [B:(a > (a > $o))]: ((B @ sk398 @ A) | ~ ((sk1 @ B) & ! [C:a,D:a]: ((sk3 @ C @ D) => (B @ C @ D)))) | ! [B:(a > (a > $o))]: ((B @ sk398 @ A) | ~ (! [C:a,D:a]: ((B @ C @ D) | ~ (sk2 @ C @ D)) & (sk1 @ B)))) => (sk397 @ sk398 @ A))) != (^ [A:a]: ((sk397 @ sk398 @ A) | ~ ((sk2 @ sk398 @ A) | (sk3 @ sk398 @ A)))))),inference(simp,[status(thm)],[1382])). 116.13/30.64 thf(678,plain,((sk1 @ (sk226)) | (~ (sk3 @ sk162 @ sk163))),inference(cnf,[status(esa)],[668])). 116.13/30.64 thf(494,plain,((~ (sk8 @ sk153 @ sk154)) | (~ (sk8 @ sk151 @ sk152))),inference(cnf,[status(esa)],[486])). 116.13/30.64 thf(712,plain,((~ (sk8 @ sk151 @ sk152)) | ((sk8 @ sk153 @ sk154) != (sk8 @ sk151 @ sk152)) | ~ ($true)),inference(eqfactor_ordered,[status(thm)],[494])). 116.13/30.64 thf(714,plain,((~ (sk8 @ sk151 @ sk152)) | (sk153 != sk151) | (sk154 != sk152)),inference(simp,[status(thm)],[712])). 116.13/30.64 thf(838,plain,((~ (sk29 @ sk42 @ sk43)) | (~ (sk1 @ (sk29))) | (~ (sk26 @ sk40 @ sk41)) | ((sk1 @ (sk26)) != (sk1 @ (sk11)))),inference(paramod_ordered,[status(thm)],[311,185])). 116.13/30.64 thf(856,plain,((~ (sk29 @ sk42 @ sk43)) | (~ (sk1 @ (sk29))) | (~ (sk26 @ sk40 @ sk41)) | ((sk26) != (sk11))),inference(simp,[status(thm)],[838])). 116.13/30.64 thf(1046,plain,((~ (sk29 @ sk42 @ sk43)) | (~ (sk26 @ sk40 @ sk41)) | ((sk26) != (sk11)) | ((sk1 @ (sk29)) != (sk1 @ (sk11)))),inference(paramod_ordered,[status(thm)],[311,856])). 116.13/30.64 thf(1057,plain,((~ (sk29 @ sk42 @ sk43)) | (~ (sk26 @ sk40 @ sk41)) | ((sk26) != (sk11)) | ((sk29) != (sk11))),inference(simp,[status(thm)],[1046])). 116.13/30.64 thf(334,plain,((~ (sk11 @ sk104 @ sk105)) | (sk2 @ sk102 @ sk103) | (sk3 @ sk102 @ sk103)),inference(cnf,[status(esa)],[327])). 116.13/30.64 thf(406,plain,((sk1 @ (sk128)) | (sk11 @ sk113 @ sk114) | (sk11 @ sk113 @ sk114) | (~ (sk3 @ sk113 @ sk114))),inference(cnf,[status(esa)],[393])). 116.13/30.64 thf(423,plain,((sk1 @ (sk128)) | (sk11 @ sk113 @ sk114) | (~ (sk3 @ sk113 @ sk114))),inference(simp,[status(thm)],[406])). 116.13/30.64 thf(777,plain,((sk1 @ (sk128)) | $false | (~ (sk3 @ sk113 @ sk114))),inference(rewrite,[status(thm)],[423,404])). 116.13/30.64 thf(778,plain,((sk1 @ (sk128)) | (~ (sk3 @ sk113 @ sk114))),inference(simp,[status(thm)],[777])). 116.13/30.64 thf(158,plain,(((^ [A:(a > (a > $o))]: ! [B:a,C:a]: ((A @ B @ C) | ~ ((sk2 @ B @ C) | (sk3 @ B @ C)))) != (sk1)) | ((sk1) != (^ [A:(a > (a > $o))]: ! [B:a,C:a]: ((! [D:(a > (a > $o))]: ((D @ B @ C) | ~ ((sk1 @ D) & ! [E:a,F:a]: ((sk3 @ E @ F) => (D @ E @ F)))) | ! [D:(a > (a > $o))]: ((D @ B @ C) | ~ (! [E:a,F:a]: ((D @ E @ F) | ~ (sk2 @ E @ F)) & (sk1 @ D)))) => (A @ B @ C))))),inference(simp,[status(thm)],[157])). 116.13/30.64 thf(159,plain,(((^ [A:(a > (a > $o))]: ! [B:a,C:a]: ((A @ B @ C) | ~ ((sk2 @ B @ C) | (sk3 @ B @ C)))) != (sk1)) | ((sk1) != (sk1)) | ((^ [A:(a > (a > $o))]: ! [B:a,C:a]: ((! [D:(a > (a > $o))]: ((D @ B @ C) | ~ ((sk1 @ D) & ! [E:a,F:a]: ((sk3 @ E @ F) => (D @ E @ F)))) | ! [D:(a > (a > $o))]: ((D @ B @ C) | ~ (! [E:a,F:a]: ((D @ E @ F) | ~ (sk2 @ E @ F)) & (sk1 @ D)))) => (A @ B @ C))) != (^ [A:(a > (a > $o))]: ! [B:a,C:a]: ((A @ B @ C) | ~ ((sk2 @ B @ C) | (sk3 @ B @ C)))))),inference(eqfactor_ordered,[status(thm)],[158])). 116.13/30.64 thf(160,plain,(((^ [A:(a > (a > $o))]: ! [B:a,C:a]: ((A @ B @ C) | ~ ((sk2 @ B @ C) | (sk3 @ B @ C)))) != (sk1)) | ((^ [A:(a > (a > $o))]: ! [B:a,C:a]: ((! [D:(a > (a > $o))]: ((D @ B @ C) | ~ ((sk1 @ D) & ! [E:a,F:a]: ((sk3 @ E @ F) => (D @ E @ F)))) | ! [D:(a > (a > $o))]: ((D @ B @ C) | ~ (! [E:a,F:a]: ((D @ E @ F) | ~ (sk2 @ E @ F)) & (sk1 @ D)))) => (A @ B @ C))) != (^ [A:(a > (a > $o))]: ! [B:a,C:a]: ((A @ B @ C) | ~ ((sk2 @ B @ C) | (sk3 @ B @ C)))))),inference(simp,[status(thm)],[159])). 116.13/30.64 thf(3069,plain,((~ (sk8 @ sk462 @ sk463)) | (~ (sk11 @ sk460 @ sk461)) | (sk462 != sk460) | (sk463 != sk461)),inference(simp,[status(thm)],[3067])). 116.13/30.64 thf(21,plain,(! [B:a,A:a] : ((~ (sk13 @ B @ A @ sk4 @ sk5)) | (sk12 @ A @ B) | (~ (sk2 @ A @ B)))),inference(cnf,[status(esa)],[14])). 116.13/30.64 thf(33,plain,(! [B:a,A:a] : ((~ (sk13 @ B @ A @ sk4 @ sk5)) | (~ (sk12 @ sk4 @ sk5)))),inference(cnf,[status(esa)],[14])). 116.13/30.64 thf(1381,plain,(((^ [A:a,B:a,C:(a > (a > $o))]: ! [D:a,E:a]: ((C @ D @ E) | ~ ((sk2 @ D @ E) | (sk3 @ D @ E)))) != (^ [A:a,B:a]: (sk1))) | ((^ [A:a,B:a,C:(a > (a > $o)),D:a,E:a]: ((! [F:(a > (a > $o))]: ((F @ D @ E) | ~ ((sk1 @ F) & ! [G:a,H:a]: ((sk3 @ G @ H) => (F @ G @ H)))) | ! [F:(a > (a > $o))]: ((F @ D @ E) | ~ (! [G:a,H:a]: ((F @ G @ H) | ~ (sk2 @ G @ H)) & (sk1 @ F)))) => (C @ D @ E))) != (^ [A:a,B:a,C:(a > (a > $o)),D:a,E:a]: ((C @ D @ E) | ~ ((sk2 @ D @ E) | (sk3 @ D @ E)))))),inference(simp,[status(thm)],[65])). 116.13/30.64 thf(1570,plain,(((! [A:a,B:a]: ((sk421 @ A @ B) | ~ ((sk2 @ A @ B) | (sk3 @ A @ B)))) != (sk1 @ (sk421))) | (((! [A:(a > (a > $o))]: ((A @ sk425 @ sk426) | ~ ((sk1 @ (A)) & ! [B:a,C:a]: ((sk3 @ B @ C) => (A @ B @ C)))) | ! [A:(a > (a > $o))]: ((A @ sk425 @ sk426) | ~ (! [B:a,C:a]: ((A @ B @ C) | ~ (sk2 @ B @ C)) & (sk1 @ (A))))) => (sk424 @ sk425 @ sk426)) != ((sk424 @ sk425 @ sk426) | ~ ((sk2 @ sk425 @ sk426) | (sk3 @ sk425 @ sk426))))),inference(func_ext,[status(esa)],[1381])). 116.13/30.64 thf(28,plain,(! [D:a,C:a,B:a,A:a] : ((sk1 @ (sk14 @ D @ C @ B @ A)) | (sk13 @ B @ A @ C @ D) | (sk12 @ A @ B) | (~ (sk2 @ A @ B)))),inference(cnf,[status(esa)],[14])). 116.13/30.64 thf(38,plain,(! [B:a,A:a] : ((sk1 @ (sk13 @ B @ A)) | (sk1 @ (sk12)))),inference(cnf,[status(esa)],[14])). 116.13/30.64 thf(1642,plain,(((sk11 @ sk445 @ sk446) != (sk8 @ sk445 @ sk446)) | ((! [A:a,B:a]: ((! [C:(a > (a > $o))]: ((C @ A @ B) | ~ ((sk1 @ (C)) & ! [D:a,E:a]: ((sk3 @ D @ E) => (C @ D @ E)))) | ! [C:(a > (a > $o))]: ((C @ A @ B) | ~ (! [D:a,E:a]: ((C @ D @ E) | ~ (sk2 @ D @ E)) & (sk1 @ (C))))) => (sk11 @ A @ B))) != (! [A:a,B:a]: ((sk11 @ A @ B) | ~ ((sk2 @ A @ B) | (sk3 @ A @ B)))))),inference(func_ext,[status(esa)],[1640])). 116.13/30.64 thf(1799,plain,(((sk11 @ sk445 @ sk446) != (sk8 @ sk445 @ sk446)) | ((^ [A:a]: ! [B:a]: ((! [C:(a > (a > $o))]: ((C @ A @ B) | ~ ((sk1 @ C) & ! [D:a,E:a]: ((sk3 @ D @ E) => (C @ D @ E)))) | ! [C:(a > (a > $o))]: ((C @ A @ B) | ~ (! [D:a,E:a]: ((C @ D @ E) | ~ (sk2 @ D @ E)) & (sk1 @ C)))) => (sk11 @ A @ B))) != (^ [A:a]: ! [B:a]: ((sk11 @ A @ B) | ~ ((sk2 @ A @ B) | (sk3 @ A @ B)))))),inference(simp,[status(thm)],[1642])). 116.13/30.64 thf(1920,plain,(((sk11 @ sk445 @ sk446) != (sk8 @ sk445 @ sk446)) | ((^ [A:a,B:a]: ((! [C:(a > (a > $o))]: ((C @ A @ B) | ~ ((sk1 @ C) & ! [D:a,E:a]: ((sk3 @ D @ E) => (C @ D @ E)))) | ! [C:(a > (a > $o))]: ((C @ A @ B) | ~ (! [D:a,E:a]: ((C @ D @ E) | ~ (sk2 @ D @ E)) & (sk1 @ C)))) => (sk11 @ A @ B))) != (^ [A:a,B:a]: ((sk11 @ A @ B) | ~ ((sk2 @ A @ B) | (sk3 @ A @ B)))))),inference(simp,[status(thm)],[1799])). 116.13/30.64 thf(4089,plain,((~ (! [A:a,B:a]: ((sk421 @ A @ B) | ~ ((sk2 @ A @ B) | (sk3 @ A @ B))))) | (~ (sk1 @ (sk421))) | (~ ((! [A:(a > (a > $o))]: ((A @ sk425 @ sk426) | ~ ((sk1 @ (A)) & ! [B:a,C:a]: ((sk3 @ B @ C) => (A @ B @ C)))) | ! [A:(a > (a > $o))]: ((A @ sk425 @ sk426) | ~ (! [B:a,C:a]: ((A @ B @ C) | ~ (sk2 @ B @ C)) & (sk1 @ (A))))) => (sk424 @ sk425 @ sk426))) | (~ ((sk424 @ sk425 @ sk426) | ~ ((sk2 @ sk425 @ sk426) | (sk3 @ sk425 @ sk426))))),inference(bool_ext,[status(thm)],[1570])). 116.13/30.64 thf(4248,plain,((~ (sk424 @ sk425 @ sk426)) | (~ (sk424 @ sk425 @ sk426)) | (~ (sk1 @ (sk421))) | (~ (sk421 @ sk1550 @ sk1551))),inference(cnf,[status(esa)],[4089])). 116.13/30.64 thf(4251,plain,((~ (sk424 @ sk425 @ sk426)) | (~ (sk1 @ (sk421))) | (~ (sk421 @ sk1550 @ sk1551))),inference(simp,[status(thm)],[4248])). 116.13/30.64 thf(4393,plain,((~ (sk424 @ sk425 @ sk426)) | (~ (sk421 @ sk1550 @ sk1551)) | ((sk1 @ (sk421)) != (sk1 @ (sk8)))),inference(paramod_ordered,[status(thm)],[121,4251])). 116.13/30.64 thf(4448,plain,((~ (sk424 @ sk425 @ sk426)) | (~ (sk421 @ sk1550 @ sk1551)) | ((sk421) != (sk8))),inference(simp,[status(thm)],[4393])). 116.13/30.64 thf(4461,plain,(((sk421 @ sk1580 @ sk1581) != (sk8 @ sk1580 @ sk1581)) | (~ (sk424 @ sk425 @ sk426)) | (~ (sk421 @ sk1550 @ sk1551))),inference(func_ext,[status(esa)],[4448])). 116.13/30.64 thf(1573,plain,((~ (sk11 @ sk429 @ sk430)) | (sk2 @ sk427 @ sk428) | (sk3 @ sk427 @ sk428)),inference(cnf,[status(esa)],[1572])). 116.13/30.64 thf(556,plain,((~ (! [A:a]: ((sk8 @ sk161 @ A) | ~ ((sk2 @ sk161 @ A) | (sk3 @ sk161 @ A))))) | (~ (! [A:a]: ((! [B:(a > (a > $o))]: ((B @ sk161 @ A) | ~ ((sk1 @ (B)) & ! [C:a,D:a]: ((sk3 @ C @ D) => (B @ C @ D)))) | ! [B:(a > (a > $o))]: ((B @ sk161 @ A) | ~ (! [C:a,D:a]: ((B @ C @ D) | ~ (sk2 @ C @ D)) & (sk1 @ (B))))) => (sk8 @ sk161 @ A))))),inference(bool_ext,[status(thm)],[513])). 116.13/30.64 thf(566,plain,((~ (sk8 @ sk161 @ sk189)) | (sk2 @ sk161 @ sk188) | (sk3 @ sk161 @ sk188)),inference(cnf,[status(esa)],[556])). 116.13/30.64 thf(254,plain,((~ (! [A:a,B:a]: ((sk11 @ A @ B) | ~ ((sk2 @ A @ B) | (sk3 @ A @ B))) & (sk1 @ (sk11)))) | (~ ((sk1 @ (sk11)) & ! [A:a,B:a]: ((! [C:(a > (a > $o))]: ((C @ A @ B) | ~ ((sk1 @ (C)) & ! [D:a,E:a]: ((sk3 @ D @ E) => (C @ D @ E)))) | ! [C:(a > (a > $o))]: ((C @ A @ B) | ~ (! [D:a,E:a]: ((C @ D @ E) | ~ (sk2 @ D @ E)) & (sk1 @ (C))))) => (sk11 @ A @ B))))),inference(bool_ext,[status(thm)],[12])). 116.13/30.64 thf(277,plain,((~ (sk1 @ (sk11))) | (~ (sk11 @ sk86 @ sk87)) | (~ (sk11 @ sk84 @ sk85)) | (~ (sk1 @ (sk11)))),inference(cnf,[status(esa)],[254])). 116.13/30.64 thf(283,plain,((~ (sk1 @ (sk11))) | (~ (sk11 @ sk86 @ sk87)) | (~ (sk11 @ sk84 @ sk85))),inference(simp,[status(thm)],[277])). 116.13/30.64 thf(360,plain,(~ ($true) | (~ (sk11 @ sk86 @ sk87)) | (~ (sk11 @ sk84 @ sk85))),inference(rewrite,[status(thm)],[283,311])). 116.13/30.64 thf(361,plain,((~ (sk11 @ sk86 @ sk87)) | (~ (sk11 @ sk84 @ sk85))),inference(simp,[status(thm)],[360])). 116.13/30.64 thf(600,plain,((sk1 @ (sk201)) | (sk8 @ sk162 @ sk163) | (sk8 @ sk162 @ sk163) | (~ (sk3 @ sk162 @ sk163))),inference(cnf,[status(esa)],[583])). 116.13/30.64 thf(617,plain,((sk1 @ (sk201)) | (sk8 @ sk162 @ sk163) | (~ (sk3 @ sk162 @ sk163))),inference(simp,[status(thm)],[600])). 116.13/30.64 thf(1233,plain,((sk1 @ (sk201)) | $false | (~ (sk3 @ sk162 @ sk163))),inference(rewrite,[status(thm)],[617,594])). 116.13/30.64 thf(1234,plain,((sk1 @ (sk201)) | (~ (sk3 @ sk162 @ sk163))),inference(simp,[status(thm)],[1233])). 116.13/30.64 thf(853,plain,((~ (sk29 @ sk42 @ sk43)) | (~ (sk1 @ (sk26))) | (~ (sk26 @ sk40 @ sk41)) | ((sk1 @ (sk29)) != (sk1 @ (sk26))) | ~ ($true)),inference(eqfactor_ordered,[status(thm)],[185])). 116.13/30.64 thf(869,plain,((~ (sk29 @ sk42 @ sk43)) | (~ (sk1 @ (sk26))) | (~ (sk26 @ sk40 @ sk41)) | ((sk29) != (sk26))),inference(simp,[status(thm)],[853])). 116.13/30.64 thf(471,plain,((~ (sk149 @ sk113 @ sk114)) | (~ (sk2 @ sk113 @ sk114))),inference(cnf,[status(esa)],[463])). 116.13/30.64 thf(604,plain,((~ (sk201 @ sk162 @ sk163)) | (sk8 @ sk162 @ sk163) | (sk8 @ sk162 @ sk163) | (~ (sk2 @ sk162 @ sk163))),inference(cnf,[status(esa)],[583])). 116.13/30.64 thf(615,plain,((~ (sk201 @ sk162 @ sk163)) | (sk8 @ sk162 @ sk163) | (~ (sk2 @ sk162 @ sk163))),inference(simp,[status(thm)],[604])). 116.13/30.64 thf(3140,plain,((~ (sk201 @ sk162 @ sk163)) | $false | (~ (sk2 @ sk162 @ sk163))),inference(rewrite,[status(thm)],[615,594])). 116.13/30.64 thf(3141,plain,((~ (sk201 @ sk162 @ sk163)) | (~ (sk2 @ sk162 @ sk163))),inference(simp,[status(thm)],[3140])). 116.13/30.64 thf(476,plain,((sk1 @ (sk150)) | (~ (sk3 @ sk113 @ sk114))),inference(cnf,[status(esa)],[463])). 116.13/30.64 thf(1583,plain,((~ (sk11 @ sk427 @ sk428)) | ((sk11 @ sk429 @ sk430) != (sk11 @ sk427 @ sk428)) | ~ ($true)),inference(eqfactor_ordered,[status(thm)],[1581])). 116.13/30.64 thf(1584,plain,((~ (sk11 @ sk427 @ sk428)) | ((sk11 @ sk429 @ sk430) != (sk11 @ sk427 @ sk428))),inference(simp,[status(thm)],[1583])). 116.13/30.64 thf(679,plain,((sk1 @ (sk227)) | (~ (sk2 @ sk162 @ sk163))),inference(cnf,[status(esa)],[668])). 116.13/30.64 thf(2006,plain,(! [H:a,G:a,F:a,E:a,D:a,C:a,B:a,A:a] : (((sk56 @ F @ E @ (sk540 @ H @ G @ F @ E @ D @ C @ B @ A) @ (sk541 @ H @ G @ F @ E @ D @ C @ B @ A)) != (sk26 @ (sk540 @ H @ G @ F @ E @ D @ C @ B @ A) @ (sk541 @ H @ G @ F @ E @ D @ C @ B @ A))) | (sk13 @ B @ A @ C @ D) | (sk1 @ (sk12)) | (sk29 @ E @ F) | (sk1 @ (sk29)) | (sk2 @ sk54 @ sk55) | (sk3 @ sk54 @ sk55) | (sk15 @ D @ C @ B @ A @ (sk401 @ F @ E @ D @ C @ B @ A) @ (sk402 @ F @ E @ D @ C @ B @ A)) | (sk26 @ (sk401 @ F @ E @ D @ C @ B @ A) @ (sk402 @ F @ E @ D @ C @ B @ A)) | (sk1 @ (sk56 @ H @ G)) | (sk29 @ G @ H))),inference(func_ext,[status(esa)],[1899])). 116.13/30.64 thf(3074,plain,(! [H:a,G:a,F:a,E:a,D:a,C:a,B:a,A:a] : ((sk13 @ B @ A @ C @ D) | (sk1 @ (sk12)) | (sk29 @ E @ F) | (sk1 @ (sk29)) | (sk2 @ sk54 @ sk55) | (sk3 @ sk54 @ sk55) | (sk15 @ D @ C @ B @ A @ (sk401 @ F @ E @ D @ C @ B @ A) @ (sk402 @ F @ E @ D @ C @ B @ A)) | (sk26 @ (sk401 @ F @ E @ D @ C @ B @ A) @ (sk402 @ F @ E @ D @ C @ B @ A)) | (sk1 @ (sk56 @ H @ G)) | (sk29 @ G @ H) | (sk56 @ F @ E @ (sk540 @ H @ G @ F @ E @ D @ C @ B @ A) @ (sk541 @ H @ G @ F @ E @ D @ C @ B @ A)) | (sk26 @ (sk540 @ H @ G @ F @ E @ D @ C @ B @ A) @ (sk541 @ H @ G @ F @ E @ D @ C @ B @ A)))),inference(bool_ext,[status(thm)],[2006])). 116.13/30.64 thf(599,plain,((~ (sk200 @ sk162 @ sk163)) | (sk8 @ sk162 @ sk163) | (sk8 @ sk162 @ sk163) | (~ (sk2 @ sk162 @ sk163))),inference(cnf,[status(esa)],[583])). 116.13/30.64 thf(616,plain,((~ (sk200 @ sk162 @ sk163)) | (sk8 @ sk162 @ sk163) | (~ (sk2 @ sk162 @ sk163))),inference(simp,[status(thm)],[599])). 116.13/30.64 thf(3855,plain,((~ (sk200 @ sk162 @ sk163)) | $false | (~ (sk2 @ sk162 @ sk163))),inference(rewrite,[status(thm)],[616,594])). 116.13/30.64 thf(3856,plain,((~ (sk200 @ sk162 @ sk163)) | (~ (sk2 @ sk162 @ sk163))),inference(simp,[status(thm)],[3855])). 116.13/30.64 thf(3306,plain,(! [B:a,A:a] : ((sk1 @ (sk12)) | (sk15 @ sk5 @ sk4 @ B @ A @ (sk328 @ B @ A) @ (sk329 @ B @ A)) | (sk12 @ (sk328 @ B @ A) @ (sk329 @ B @ A)))),inference(bool_ext,[status(thm)],[998])). 116.13/30.64 thf(564,plain,((~ (sk8 @ sk161 @ sk189)) | (~ (sk8 @ sk161 @ sk188))),inference(cnf,[status(esa)],[556])). 116.13/30.64 thf(715,plain,((~ (sk8 @ sk161 @ sk188)) | ((sk8 @ sk161 @ sk189) != (sk8 @ sk161 @ sk188)) | ~ ($true)),inference(eqfactor_ordered,[status(thm)],[564])). 116.13/30.64 thf(717,plain,((~ (sk8 @ sk161 @ sk188)) | (sk161 != sk161) | (sk189 != sk188)),inference(simp,[status(thm)],[715])). 116.13/30.64 thf(718,plain,((~ (sk8 @ sk161 @ sk188)) | (sk189 != sk188)),inference(simp,[status(thm)],[717])). 116.13/30.64 thf(674,plain,((~ (sk226 @ sk162 @ sk163)) | (~ (sk3 @ sk162 @ sk163))),inference(cnf,[status(esa)],[668])). 116.13/30.64 thf(1680,plain,(((! [A:a]: ((! [B:(a > (a > $o))]: ((B @ sk457 @ A) | ~ ((sk1 @ (B)) & ! [C:a,D:a]: ((sk3 @ C @ D) => (B @ C @ D)))) | ! [B:(a > (a > $o))]: ((B @ sk457 @ A) | ~ (! [C:a,D:a]: ((B @ C @ D) | ~ (sk2 @ C @ D)) & (sk1 @ (B))))) => (sk11 @ sk457 @ A))) != (! [A:a]: ((sk11 @ sk457 @ A) | ~ ((sk2 @ sk457 @ A) | (sk3 @ sk457 @ A))))) | ((sk11 @ sk458 @ sk459) != (sk8 @ sk458 @ sk459))),inference(func_ext,[status(esa)],[1641])). 116.13/30.64 thf(161,plain,(((^ [A:(a > (a > $o))]: ! [B:a,C:a]: ((A @ B @ C) | ~ ((sk2 @ B @ C) | (sk3 @ B @ C)))) != (sk1)) | ((^ [A:(a > (a > $o)),B:a]: ! [C:a]: ((! [D:(a > (a > $o))]: ((D @ B @ C) | ~ ((sk1 @ D) & ! [E:a,F:a]: ((sk3 @ E @ F) => (D @ E @ F)))) | ! [D:(a > (a > $o))]: ((D @ B @ C) | ~ (! [E:a,F:a]: ((D @ E @ F) | ~ (sk2 @ E @ F)) & (sk1 @ D)))) => (A @ B @ C))) != (^ [A:(a > (a > $o)),B:a]: ! [C:a]: ((A @ B @ C) | ~ ((sk2 @ B @ C) | (sk3 @ B @ C)))))),inference(simp,[status(thm)],[159])). 116.13/30.64 thf(17,plain,(! [F:a,E:a,D:a,C:a,B:a,A:a] : ((~ (sk3 @ E @ F)) | (sk14 @ D @ C @ B @ A @ E @ F) | (sk13 @ B @ A @ C @ D) | (sk12 @ A @ B) | (~ (sk2 @ A @ B)))),inference(cnf,[status(esa)],[14])). 116.13/30.64 thf(32,plain,(! [D:a,C:a,B:a,A:a] : ((sk1 @ (sk14 @ D @ C @ B @ A)) | (sk13 @ B @ A @ C @ D) | (~ (sk12 @ sk4 @ sk5)))),inference(cnf,[status(esa)],[14])). 116.13/30.64 thf(34,plain,(! [D:a,C:a,B:a,A:a] : ((~ (sk15 @ D @ C @ B @ A @ C @ D)) | (sk13 @ B @ A @ C @ D) | (sk12 @ A @ B) | (~ (sk3 @ A @ B)))),inference(cnf,[status(esa)],[14])). 116.13/30.64 thf(409,plain,((~ (sk127 @ sk113 @ sk114)) | (sk11 @ sk113 @ sk114) | (sk11 @ sk113 @ sk114) | (~ (sk2 @ sk113 @ sk114))),inference(cnf,[status(esa)],[393])). 116.13/30.64 thf(426,plain,((~ (sk127 @ sk113 @ sk114)) | (sk11 @ sk113 @ sk114) | (~ (sk2 @ sk113 @ sk114))),inference(simp,[status(thm)],[409])). 116.13/30.64 thf(1915,plain,((~ (sk127 @ sk113 @ sk114)) | $false | (~ (sk2 @ sk113 @ sk114))),inference(rewrite,[status(thm)],[426,404])). 116.13/30.64 thf(1916,plain,((~ (sk127 @ sk113 @ sk114)) | (~ (sk2 @ sk113 @ sk114))),inference(simp,[status(thm)],[1915])). 116.13/30.64 thf(837,plain,((~ (sk29 @ sk42 @ sk43)) | (~ (sk1 @ (sk26))) | (~ (sk26 @ sk40 @ sk41)) | ((sk1 @ (sk29)) != (sk1 @ (sk11)))),inference(paramod_ordered,[status(thm)],[311,185])). 116.13/30.64 thf(858,plain,((~ (sk29 @ sk42 @ sk43)) | (~ (sk1 @ (sk26))) | (~ (sk26 @ sk40 @ sk41)) | ((sk29) != (sk11))),inference(simp,[status(thm)],[837])). 116.13/30.64 thf(1089,plain,((~ (sk29 @ sk42 @ sk43)) | (~ (sk26 @ sk40 @ sk41)) | ((sk29) != (sk11)) | ((sk1 @ (sk26)) != (sk1 @ (sk8)))),inference(paramod_ordered,[status(thm)],[121,858])). 116.13/30.64 thf(1125,plain,((~ (sk29 @ sk42 @ sk43)) | (~ (sk26 @ sk40 @ sk41)) | ((sk29) != (sk11)) | ((sk26) != (sk8))),inference(simp,[status(thm)],[1089])). 116.13/30.64 thf(27,plain,(! [D:a,C:a,B:a,A:a] : ((sk1 @ (sk15 @ D @ C @ B @ A)) | (sk13 @ B @ A @ C @ D) | (sk12 @ A @ B) | (~ (sk3 @ A @ B)))),inference(cnf,[status(esa)],[14])). 116.13/30.64 thf(2127,plain,((~ ((! [A:(a > (a > $o))]: ((A @ sk460 @ sk461) | ~ ((sk1 @ (A)) & ! [B:a,C:a]: ((sk3 @ B @ C) => (A @ B @ C)))) | ! [A:(a > (a > $o))]: ((A @ sk460 @ sk461) | ~ (! [B:a,C:a]: ((A @ B @ C) | ~ (sk2 @ B @ C)) & (sk1 @ (A))))) => (sk11 @ sk460 @ sk461))) | (~ ((sk11 @ sk460 @ sk461) | ~ ((sk2 @ sk460 @ sk461) | (sk3 @ sk460 @ sk461)))) | (sk11 @ sk462 @ sk463) | (sk8 @ sk462 @ sk463)),inference(bool_ext,[status(thm)],[1681])). 116.13/30.64 thf(2197,plain,((sk8 @ sk462 @ sk463) | (sk11 @ sk462 @ sk463) | (~ (sk11 @ sk460 @ sk461)) | (~ (sk11 @ sk460 @ sk461))),inference(cnf,[status(esa)],[2127])). 116.13/30.64 thf(2198,plain,((sk8 @ sk462 @ sk463) | (sk11 @ sk462 @ sk463) | (~ (sk11 @ sk460 @ sk461))),inference(simp,[status(thm)],[2197])). 116.13/30.64 thf(4474,plain,((sk8 @ sk462 @ sk463) | (~ (sk11 @ sk460 @ sk461)) | ((sk11 @ sk462 @ sk463) != (sk11 @ sk113 @ sk114))),inference(paramod_ordered,[status(thm)],[2198,404])). 116.13/30.64 thf(4526,plain,((sk8 @ sk462 @ sk463) | (~ (sk11 @ sk460 @ sk461)) | (sk462 != sk113) | (sk463 != sk114)),inference(simp,[status(thm)],[4474])). 116.13/30.64 thf(713,plain,((~ (sk8 @ sk151 @ sk152)) | ((sk8 @ sk153 @ sk154) != (sk8 @ sk151 @ sk152))),inference(simp,[status(thm)],[712])). 116.13/30.64 thf(672,plain,((~ (sk227 @ sk162 @ sk163)) | (~ (sk3 @ sk162 @ sk163))),inference(cnf,[status(esa)],[668])). 116.13/30.64 thf(596,plain,((sk1 @ (sk201)) | (sk8 @ sk162 @ sk163) | (sk8 @ sk162 @ sk163) | (~ (sk2 @ sk162 @ sk163))),inference(cnf,[status(esa)],[583])). 116.13/30.64 thf(614,plain,((sk1 @ (sk201)) | (sk8 @ sk162 @ sk163) | (~ (sk2 @ sk162 @ sk163))),inference(simp,[status(thm)],[596])). 116.13/30.64 thf(1208,plain,((sk1 @ (sk201)) | $false | (~ (sk2 @ sk162 @ sk163))),inference(rewrite,[status(thm)],[614,594])). 116.13/30.64 thf(1209,plain,((sk1 @ (sk201)) | (~ (sk2 @ sk162 @ sk163))),inference(simp,[status(thm)],[1208])). 116.13/30.64 thf(681,plain,((sk1 @ (sk227)) | (~ (sk3 @ sk162 @ sk163))),inference(cnf,[status(esa)],[668])). 116.13/30.64 thf(377,plain,((~ (sk11 @ sk112 @ sk116)) | (~ (sk11 @ sk112 @ sk115))),inference(cnf,[status(esa)],[366])). 116.13/30.64 thf(1571,plain,(((^ [A:(a > (a > $o))]: ! [B:a,C:a]: ((A @ B @ C) | ~ ((sk2 @ B @ C) | (sk3 @ B @ C)))) != (sk1)) | ((^ [A:(a > (a > $o)),B:a,C:a]: ((! [D:(a > (a > $o))]: ((D @ B @ C) | ~ ((sk1 @ D) & ! [E:a,F:a]: ((sk3 @ E @ F) => (D @ E @ F)))) | ! [D:(a > (a > $o))]: ((D @ B @ C) | ~ (! [E:a,F:a]: ((D @ E @ F) | ~ (sk2 @ E @ F)) & (sk1 @ D)))) => (A @ B @ C))) != (^ [A:(a > (a > $o)),B:a,C:a]: ((A @ B @ C) | ~ ((sk2 @ B @ C) | (sk3 @ B @ C)))))),inference(simp,[status(thm)],[161])). 116.13/30.64 thf(431,plain,((~ (sk11 @ sk112 @ sk115)) | ((sk11 @ sk112 @ sk116) != (sk11 @ sk112 @ sk115)) | ~ ($true)),inference(eqfactor_ordered,[status(thm)],[377])). 116.13/30.64 thf(433,plain,((~ (sk11 @ sk112 @ sk115)) | (sk112 != sk112) | (sk116 != sk115)),inference(simp,[status(thm)],[431])). 116.13/30.64 thf(434,plain,((~ (sk11 @ sk112 @ sk115)) | (sk116 != sk115)),inference(simp,[status(thm)],[433])). 116.13/30.64 thf(477,plain,((sk1 @ (sk149)) | (~ (sk2 @ sk113 @ sk114))),inference(cnf,[status(esa)],[463])). 116.13/30.64 thf(4404,plain,((~ (sk424 @ sk425 @ sk426)) | (~ (sk421 @ sk1550 @ sk1551)) | ((sk1 @ (sk421)) != (sk1 @ (sk11)))),inference(paramod_ordered,[status(thm)],[311,4251])). 116.13/30.64 thf(4458,plain,((~ (sk424 @ sk425 @ sk426)) | (~ (sk421 @ sk1550 @ sk1551)) | ((sk421) != (sk11))),inference(simp,[status(thm)],[4404])). 116.13/30.64 thf(4462,plain,(((sk421 @ sk1582 @ sk1583) != (sk11 @ sk1582 @ sk1583)) | (~ (sk424 @ sk425 @ sk426)) | (~ (sk421 @ sk1550 @ sk1551))),inference(func_ext,[status(esa)],[4458])). 116.13/30.64 thf(597,plain,((sk1 @ (sk200)) | (sk8 @ sk162 @ sk163) | (sk8 @ sk162 @ sk163) | (~ (sk3 @ sk162 @ sk163))),inference(cnf,[status(esa)],[583])). 116.13/30.64 thf(607,plain,((sk1 @ (sk200)) | (sk8 @ sk162 @ sk163) | (~ (sk3 @ sk162 @ sk163))),inference(simp,[status(thm)],[597])). 116.13/30.64 thf(914,plain,((sk1 @ (sk200)) | $false | (~ (sk3 @ sk162 @ sk163))),inference(rewrite,[status(thm)],[607,594])). 116.13/30.64 thf(915,plain,((sk1 @ (sk200)) | (~ (sk3 @ sk162 @ sk163))),inference(simp,[status(thm)],[914])). 116.13/30.64 thf(462,plain,(((sk2 @ sk113 @ sk114) != (! [A:(a > (a > $o))]: ((A @ sk113 @ sk114) | ~ ((sk1 @ (A)) & ! [B:a,C:a]: ((sk3 @ B @ C) => (A @ B @ C)))))) | ((sk3 @ sk113 @ sk114) != (! [A:(a > (a > $o))]: ((A @ sk113 @ sk114) | ~ (! [B:a,C:a]: ((A @ B @ C) | ~ (sk2 @ B @ C)) & (sk1 @ (A))))))),inference(simp,[status(thm)],[430])). 116.13/30.64 thf(602,plain,((sk1 @ (sk200)) | (sk8 @ sk162 @ sk163) | (sk8 @ sk162 @ sk163) | (~ (sk2 @ sk162 @ sk163))),inference(cnf,[status(esa)],[583])). 116.13/30.64 thf(609,plain,((sk1 @ (sk200)) | (sk8 @ sk162 @ sk163) | (~ (sk2 @ sk162 @ sk163))),inference(simp,[status(thm)],[602])). 116.13/30.64 thf(931,plain,((sk1 @ (sk200)) | $false | (~ (sk2 @ sk162 @ sk163))),inference(rewrite,[status(thm)],[609,594])). 116.13/30.64 thf(932,plain,((sk1 @ (sk200)) | (~ (sk2 @ sk162 @ sk163))),inference(simp,[status(thm)],[931])). 116.13/30.64 thf(473,plain,((~ (sk150 @ sk113 @ sk114)) | (~ (sk2 @ sk113 @ sk114))),inference(cnf,[status(esa)],[463])). 116.13/30.64 thf(680,plain,((~ (sk227 @ sk162 @ sk163)) | (~ (sk2 @ sk162 @ sk163))),inference(cnf,[status(esa)],[668])). 116.13/30.64 thf(2059,plain,(! [F:a,E:a,D:a,C:a,B:a,A:a] : ((sk1 @ (sk14 @ D @ C @ B @ A)) | (~ (sk12 @ sk4 @ sk5)) | ((sk13 @ B @ A @ C @ D) != (sk13 @ F @ E @ sk4 @ sk5)))),inference(paramod_ordered,[status(thm)],[32,33])). 116.13/30.64 thf(2060,plain,(! [B:a,A:a] : ((sk1 @ (sk14 @ sk5 @ sk4 @ B @ A)) | (~ (sk12 @ sk4 @ sk5)))),inference(pattern_uni,[status(thm)],[2059:[bind(A, $thf(A)),bind(B, $thf(B)),bind(C, $thf(sk4)),bind(D, $thf(sk5)),bind(E, $thf(A)),bind(F, $thf(B))]])). 116.13/30.64 thf(18,plain,(! [B:a,A:a] : ((sk1 @ (sk13 @ B @ A)) | (sk12 @ A @ B) | (~ (sk3 @ A @ B)))),inference(cnf,[status(esa)],[14])). 116.13/30.64 thf(1040,plain,((~ (sk29 @ sk42 @ sk43)) | (~ (sk26 @ sk40 @ sk41)) | ((sk26) != (sk11)) | ((sk1 @ (sk29)) != (sk1 @ (sk8)))),inference(paramod_ordered,[status(thm)],[121,856])). 116.13/30.64 thf(1070,plain,((~ (sk29 @ sk42 @ sk43)) | (~ (sk26 @ sk40 @ sk41)) | ((sk26) != (sk11)) | ((sk29) != (sk8))),inference(simp,[status(thm)],[1040])). 116.13/30.64 thf(66,plain,(! [B:a,A:a] : ((sk1 @ (sk12)) | ((sk1 @ (sk13 @ B @ A)) != (sk1 @ (sk12))) | ~ ($true))),inference(eqfactor_ordered,[status(thm)],[38])). 116.13/30.64 thf(67,plain,(! [B:a,A:a] : ((sk1 @ (sk12)) | ((sk1 @ (sk13 @ B @ A)) != (sk1 @ (sk12))))),inference(simp,[status(thm)],[66])). 116.13/30.64 thf(412,plain,((~ (sk128 @ sk113 @ sk114)) | (sk11 @ sk113 @ sk114) | (sk11 @ sk113 @ sk114) | (~ (sk3 @ sk113 @ sk114))),inference(cnf,[status(esa)],[393])). 116.13/30.64 thf(421,plain,((~ (sk128 @ sk113 @ sk114)) | (sk11 @ sk113 @ sk114) | (~ (sk3 @ sk113 @ sk114))),inference(simp,[status(thm)],[412])). 116.13/30.64 thf(1789,plain,((~ (sk128 @ sk113 @ sk114)) | $false | (~ (sk3 @ sk113 @ sk114))),inference(rewrite,[status(thm)],[421,404])). 116.13/30.64 thf(1790,plain,((~ (sk128 @ sk113 @ sk114)) | (~ (sk3 @ sk113 @ sk114))),inference(simp,[status(thm)],[1789])). 116.13/30.64 thf(1402,plain,((~ (sk29 @ sk42 @ sk43)) | (~ (sk26 @ sk40 @ sk41)) | ((sk29) != (sk26)) | ((sk1 @ (sk26)) != (sk1 @ (sk11)))),inference(paramod_ordered,[status(thm)],[311,869])). 116.13/30.64 thf(1432,plain,((~ (sk29 @ sk42 @ sk43)) | (~ (sk26 @ sk40 @ sk41)) | ((sk29) != (sk26)) | ((sk26) != (sk11))),inference(simp,[status(thm)],[1402])). 116.13/30.64 thf(415,plain,((sk1 @ (sk127)) | (sk11 @ sk113 @ sk114) | (sk11 @ sk113 @ sk114) | (~ (sk3 @ sk113 @ sk114))),inference(cnf,[status(esa)],[393])). 116.13/30.64 thf(424,plain,((sk1 @ (sk127)) | (sk11 @ sk113 @ sk114) | (~ (sk3 @ sk113 @ sk114))),inference(simp,[status(thm)],[415])). 116.13/30.64 thf(790,plain,((sk1 @ (sk127)) | $false | (~ (sk3 @ sk113 @ sk114))),inference(rewrite,[status(thm)],[424,404])). 116.13/30.64 thf(791,plain,((sk1 @ (sk127)) | (~ (sk3 @ sk113 @ sk114))),inference(simp,[status(thm)],[790])). 116.13/30.64 thf(2700,plain,(((! [A:a,B:a]: ((sk480 @ A @ B) | ~ ((sk2 @ A @ B) | (sk3 @ A @ B)))) != (sk1 @ (sk480))) | ((^ [A:a,B:a]: ((! [C:(a > (a > $o))]: ((C @ A @ B) | ~ ((sk1 @ C) & ! [D:a,E:a]: ((sk3 @ D @ E) => (C @ D @ E)))) | ! [C:(a > (a > $o))]: ((C @ A @ B) | ~ (! [D:a,E:a]: ((C @ D @ E) | ~ (sk2 @ D @ E)) & (sk1 @ C)))) => (sk483 @ A @ B))) != (^ [A:a,B:a]: ((sk483 @ A @ B) | ~ ((sk2 @ A @ B) | (sk3 @ A @ B)))))),inference(simp,[status(thm)],[2199])). 116.13/30.64 thf(16,plain,(! [F:a,E:a,D:a,C:a,B:a,A:a] : ((~ (sk3 @ E @ F)) | (sk14 @ D @ C @ B @ A @ E @ F) | (sk13 @ B @ A @ C @ D) | (sk12 @ A @ B) | (~ (sk3 @ A @ B)))),inference(cnf,[status(esa)],[14])). 116.13/30.64 thf(31,plain,(! [D:a,C:a,B:a,A:a] : ((~ (sk15 @ D @ C @ B @ A @ C @ D)) | (sk13 @ B @ A @ C @ D) | (sk1 @ (sk12)))),inference(cnf,[status(esa)],[14])). 116.13/30.64 thf(1585,plain,((~ (sk11 @ sk427 @ sk428)) | (sk429 != sk427) | (sk430 != sk428)),inference(simp,[status(thm)],[1583])). 116.13/30.64 thf(598,plain,((~ (sk201 @ sk162 @ sk163)) | (sk8 @ sk162 @ sk163) | (sk8 @ sk162 @ sk163) | (~ (sk3 @ sk162 @ sk163))),inference(cnf,[status(esa)],[583])). 116.13/30.64 thf(610,plain,((~ (sk201 @ sk162 @ sk163)) | (sk8 @ sk162 @ sk163) | (~ (sk3 @ sk162 @ sk163))),inference(simp,[status(thm)],[598])). 116.13/30.64 thf(3138,plain,((~ (sk201 @ sk162 @ sk163)) | $false | (~ (sk3 @ sk162 @ sk163))),inference(rewrite,[status(thm)],[610,594])). 116.13/30.64 thf(3139,plain,((~ (sk201 @ sk162 @ sk163)) | (~ (sk3 @ sk162 @ sk163))),inference(simp,[status(thm)],[3138])). 116.13/30.64 thf(413,plain,((sk1 @ (sk127)) | (sk11 @ sk113 @ sk114) | (sk11 @ sk113 @ sk114) | (~ (sk2 @ sk113 @ sk114))),inference(cnf,[status(esa)],[393])). 116.13/30.64 thf(422,plain,((sk1 @ (sk127)) | (sk11 @ sk113 @ sk114) | (~ (sk2 @ sk113 @ sk114))),inference(simp,[status(thm)],[413])). 116.13/30.64 thf(449,plain,((sk1 @ (sk127)) | $false | (~ (sk2 @ sk113 @ sk114))),inference(rewrite,[status(thm)],[422,404])). 116.13/30.64 thf(450,plain,((sk1 @ (sk127)) | (~ (sk2 @ sk113 @ sk114))),inference(simp,[status(thm)],[449])). 116.13/30.64 thf(362,plain,((~ (sk11 @ sk84 @ sk85)) | ((sk11 @ sk86 @ sk87) != (sk11 @ sk84 @ sk85)) | ~ ($true)),inference(eqfactor_ordered,[status(thm)],[361])). 116.13/30.64 thf(363,plain,((~ (sk11 @ sk84 @ sk85)) | ((sk11 @ sk86 @ sk87) != (sk11 @ sk84 @ sk85))),inference(simp,[status(thm)],[362])). 116.13/30.64 thf(1163,plain,(! [F:a,E:a,D:a,C:a,B:a,A:a] : ((sk13 @ B @ A @ C @ D) | (sk1 @ (sk12)) | (sk1 @ (sk56 @ F @ E)) | (sk29 @ E @ F) | (sk1 @ (sk29)) | (sk2 @ sk54 @ sk55) | (sk3 @ sk54 @ sk55) | ((sk1 @ (sk14 @ D @ C @ B @ A)) != (sk1 @ (sk26))))),inference(paramod_ordered,[status(thm)],[26,205])). 116.13/30.64 thf(1189,plain,(! [F:a,E:a,D:a,C:a,B:a,A:a] : ((sk13 @ B @ A @ C @ D) | (sk1 @ (sk12)) | (sk1 @ (sk56 @ F @ E)) | (sk29 @ E @ F) | (sk1 @ (sk29)) | (sk2 @ sk54 @ sk55) | (sk3 @ sk54 @ sk55) | ((sk14 @ D @ C @ B @ A) != (sk26)))),inference(simp,[status(thm)],[1163])). 116.13/30.64 thf(40,plain,(! [B:a,A:a] : ((~ (sk13 @ B @ A @ sk4 @ sk5)) | (sk12 @ A @ B) | (~ (sk3 @ A @ B)))),inference(cnf,[status(esa)],[14])). 116.13/30.64 thf(23,plain,(! [F:a,E:a,D:a,C:a,B:a,A:a] : ((~ (sk3 @ E @ F)) | (sk14 @ D @ C @ B @ A @ E @ F) | (sk13 @ B @ A @ C @ D) | (sk1 @ (sk12)))),inference(cnf,[status(esa)],[14])). 116.13/30.64 thf(169,plain,(((! [A:a,B:a]: ((sk26 @ A @ B) | ~ ((sk2 @ A @ B) | (sk3 @ A @ B)))) != (sk1 @ (sk26))) | (~ (! [A:a,B:a]: ((! [C:(a > (a > $o))]: ((C @ A @ B) | ~ ((sk1 @ (C)) & ! [D:a,E:a]: ((sk3 @ D @ E) => (C @ D @ E)))) | ! [C:(a > (a > $o))]: ((C @ A @ B) | ~ (! [D:a,E:a]: ((C @ D @ E) | ~ (sk2 @ D @ E)) & (sk1 @ (C))))) => (sk29 @ A @ B)))) | ((sk1 @ (sk29)) != (sk1 @ (sk8)))),inference(paramod_ordered,[status(thm)],[121,62])). 116.13/30.64 thf(174,plain,(((! [A:a,B:a]: ((sk26 @ A @ B) | ~ ((sk2 @ A @ B) | (sk3 @ A @ B)))) != (sk1 @ (sk26))) | (~ (! [A:a,B:a]: ((! [C:(a > (a > $o))]: ((C @ A @ B) | ~ ((sk1 @ (C)) & ! [D:a,E:a]: ((sk3 @ D @ E) => (C @ D @ E)))) | ! [C:(a > (a > $o))]: ((C @ A @ B) | ~ (! [D:a,E:a]: ((C @ D @ E) | ~ (sk2 @ D @ E)) & (sk1 @ (C))))) => (sk29 @ A @ B)))) | ((sk29) != (sk8))),inference(simp,[status(thm)],[169])). 116.13/30.64 thf(235,plain,(((sk29) != (sk8)) | (~ (sk29 @ sk62 @ sk63)) | ((! [A:a,B:a]: ((sk26 @ A @ B) | ~ ((sk2 @ A @ B) | (sk3 @ A @ B)))) != (sk1 @ (sk26)))),inference(cnf,[status(esa)],[174])). 116.13/30.64 thf(667,plain,(((sk2 @ sk162 @ sk163) != (! [A:(a > (a > $o))]: ((A @ sk162 @ sk163) | ~ ((sk1 @ (A)) & ! [B:a,C:a]: ((sk3 @ B @ C) => (A @ B @ C)))))) | ((sk3 @ sk162 @ sk163) != (! [A:(a > (a > $o))]: ((A @ sk162 @ sk163) | ~ (! [B:a,C:a]: ((A @ B @ C) | ~ (sk2 @ B @ C)) & (sk1 @ (A))))))),inference(simp,[status(thm)],[620])). 116.13/30.64 thf(716,plain,((~ (sk8 @ sk161 @ sk188)) | ((sk8 @ sk161 @ sk189) != (sk8 @ sk161 @ sk188))),inference(simp,[status(thm)],[715])). 116.13/30.64 thf(432,plain,((~ (sk11 @ sk112 @ sk115)) | ((sk11 @ sk112 @ sk116) != (sk11 @ sk112 @ sk115))),inference(simp,[status(thm)],[431])). 116.13/30.64 thf(36,plain,(! [D:a,C:a,B:a,A:a] : ((sk1 @ (sk14 @ D @ C @ B @ A)) | (sk13 @ B @ A @ C @ D) | (sk12 @ A @ B) | (~ (sk3 @ A @ B)))),inference(cnf,[status(esa)],[14])). 116.13/30.64 thf(30,plain,(! [D:a,C:a,B:a,A:a] : ((~ (sk15 @ D @ C @ B @ A @ C @ D)) | (sk13 @ B @ A @ C @ D) | (~ (sk12 @ sk4 @ sk5)))),inference(cnf,[status(esa)],[14])). 116.13/30.64 thf(19,plain,(! [D:a,C:a,B:a,A:a] : ((~ (sk14 @ D @ C @ B @ A @ C @ D)) | (sk13 @ B @ A @ C @ D) | (sk12 @ A @ B) | (~ (sk3 @ A @ B)))),inference(cnf,[status(esa)],[14])). 116.13/30.64 thf(358,plain,((~ (sk11 @ sk102 @ sk103)) | (sk104 != sk102) | (sk105 != sk103)),inference(simp,[status(thm)],[356])). 116.13/30.64 thf(407,plain,((sk1 @ (sk128)) | (sk11 @ sk113 @ sk114) | (sk11 @ sk113 @ sk114) | (~ (sk2 @ sk113 @ sk114))),inference(cnf,[status(esa)],[393])). 116.13/30.64 thf(420,plain,((sk1 @ (sk128)) | (sk11 @ sk113 @ sk114) | (~ (sk2 @ sk113 @ sk114))),inference(simp,[status(thm)],[407])). 116.13/30.64 thf(436,plain,((sk1 @ (sk128)) | $false | (~ (sk2 @ sk113 @ sk114))),inference(rewrite,[status(thm)],[420,404])). 116.13/30.64 thf(437,plain,((sk1 @ (sk128)) | (~ (sk2 @ sk113 @ sk114))),inference(simp,[status(thm)],[436])). 116.13/30.64 thf(474,plain,((~ (sk150 @ sk113 @ sk114)) | (~ (sk3 @ sk113 @ sk114))),inference(cnf,[status(esa)],[463])). 116.13/30.64 thf(1925,plain,(((^ [A:a]: ((! [B:(a > (a > $o))]: ((B @ sk457 @ A) | ~ ((sk1 @ B) & ! [C:a,D:a]: ((sk3 @ C @ D) => (B @ C @ D)))) | ! [B:(a > (a > $o))]: ((B @ sk457 @ A) | ~ (! [C:a,D:a]: ((B @ C @ D) | ~ (sk2 @ C @ D)) & (sk1 @ B)))) => (sk11 @ sk457 @ A))) != (^ [A:a]: ((sk11 @ sk457 @ A) | ~ ((sk2 @ sk457 @ A) | (sk3 @ sk457 @ A))))) | ((sk11 @ sk458 @ sk459) != (sk8 @ sk458 @ sk459))),inference(simp,[status(thm)],[1680])). 116.13/30.64 thf(68,plain,(! [B:a,A:a] : ((sk1 @ (sk12)) | ((sk13 @ B @ A) != (sk12)))),inference(simp,[status(thm)],[66])). 116.13/30.64 thf(1392,plain,((~ (sk29 @ sk42 @ sk43)) | (~ (sk26 @ sk40 @ sk41)) | ((sk29) != (sk26)) | ((sk1 @ (sk26)) != (sk1 @ (sk8)))),inference(paramod_ordered,[status(thm)],[121,869])). 116.13/30.64 thf(1431,plain,((~ (sk29 @ sk42 @ sk43)) | (~ (sk26 @ sk40 @ sk41)) | ((sk29) != (sk26)) | ((sk26) != (sk8))),inference(simp,[status(thm)],[1392])). 116.13/30.64 thf(364,plain,((~ (sk11 @ sk84 @ sk85)) | (sk86 != sk84) | (sk87 != sk85)),inference(simp,[status(thm)],[362])). 116.13/30.64 thf(5477,plain,($false),inference(e,[status(thm)],[3,2163,2199,365,479,1899,555,762,3317,3858,5,677,1486,10,1788,472,1640,670,404,185,24,37,25,724,125,357,157,902,20,881,1641,29,475,492,376,485,121,1581,353,3068,1622,998,3327,6,512,678,714,1057,334,778,160,1751,3069,21,33,1570,28,38,1920,4461,1573,566,484,361,65,1234,725,869,471,3141,476,1584,679,1382,2006,3074,1799,13,205,311,3856,3306,1185,718,674,4448,1680,856,161,64,17,513,430,32,34,1916,1125,27,4251,4526,713,672,1209,681,377,7,1571,39,434,477,494,858,4462,594,915,1381,462,932,473,4458,680,2060,18,1070,872,67,1790,1432,791,2700,16,1679,31,11,1585,1797,314,3139,450,363,903,1189,40,26,158,23,235,667,2198,716,1642,432,36,30,19,999,620,564,326,358,437,474,624,332,1500,1925,68,62,1431,354,1681,364])). 116.13/30.64 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p 116.13/30.64 % [INFO] Killing All external provers ... 116.13/30.64 WARNING: TreeLimitedRun lost 20.13s, total lost is 20.13s 116.13/30.64 FINAL WATCH: 81.8 CPU 27.5 WC 116.13/30.64 Killed 1 orphans 116.13/30.64 Killed 2 orphans 116.13/30.64 EOF