0.00/0.01 % Leo-III: Strategy 1 (for '60') 7.74/9.40 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ... 7.74/9.40 % [INFO] Parsing done (154ms). 7.74/9.40 % [INFO] Running in sequential loop mode. 7.74/9.40 % [CONFIG] Using configuration: timeout(60) with strategy 7.74/9.40 % [INFO] eprover registered as external prover. 7.74/9.40 % [INFO] cvc4 registered as external prover. 7.74/9.40 % [INFO] Parsing finished. Scanning for conjecture ... 7.74/9.40 % [INFO] Found a conjecture and 8 axioms. Running axiom selection ... 7.74/9.40 % [INFO] Axiom selection finished. Selected 8 axioms (removed 0 axioms). 7.74/9.40 % [INFO] Problem is higher-order (TPTP THF). 7.74/9.40 % [INFO] Type checking passed. Searching for refutation ... 7.74/9.40 % External prover 'e' found a proof! 7.74/9.40 % [INFO] Killing All external provers ... 7.74/9.40 % Time passed: 2038ms (effective reasoning time: 1529ms) 7.74/9.40 % Solved by strategy 7.74/9.40 % Axioms used in derivation (8): k_axiom_for_fool, ax2, c_symmetric, i_axiom_for_fool_a, ax1, t_axiom_for_fool, ax3, c_reflexive 7.74/9.40 % No. of inferences in proof: 20 7.74/9.40 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 2038 ms resp. 1529 ms w/o parsing 7.74/9.40 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p 7.74/9.40 thf(mu_type, type, mu: $tType). 7.74/9.40 thf(mimplies_type, type, mimplies: (($i > $o) > (($i > $o) > ($i > $o)))). 7.74/9.40 thf(mimplies_def, definition, (mimplies = (^ [A:($i > $o)]: (mor @ (mnot @ A))))). 7.74/9.40 thf(mforall_prop_type, type, mforall_prop: ((($i > $o) > ($i > $o)) > ($i > $o))). 7.74/9.40 thf(mforall_prop_def, definition, (mforall_prop = (^ [A:(($i > $o) > ($i > $o)),B:$i]: ! [C:($i > $o)]: (A @ C @ B)))). 7.74/9.40 thf(mbox_type, type, mbox: (($i > ($i > $o)) > (($i > $o) > ($i > $o)))). 7.74/9.40 thf(mbox_def, definition, (mbox = (^ [A:($i > ($i > $o)),B:($i > $o),C:$i]: ! [D:$i]: (~ (A @ C @ D) | (B @ D))))). 7.74/9.40 thf(mvalid_type, type, mvalid: (($i > $o) > $o)). 7.74/9.40 thf(mvalid_def, definition, (mvalid = ('!' @ $i))). 7.74/9.40 thf(reg_type, type, reg: $tType). 7.74/9.40 thf(c_type, type, c: (reg > (reg > $o))). 7.74/9.40 thf(o_type, type, o: (reg > (reg > $o))). 7.74/9.40 thf(o_def, definition, (o = (^ [A:reg,B:reg]: ? [C:reg]: ((p @ C @ A) & (p @ C @ B))))). 7.74/9.40 thf(ec_type, type, ec: (reg > (reg > $o))). 7.74/9.40 thf(ec_def, definition, (ec = (^ [A:reg,B:reg]: ((c @ A @ B) & ~ (o @ A @ B))))). 7.74/9.40 thf(tpp_type, type, tpp: (reg > (reg > $o))). 7.74/9.40 thf(tpp_def, definition, (tpp = (^ [A:reg,B:reg]: ((pp @ A @ B) & ? [C:reg]: ((ec @ C @ A) & (ec @ C @ B)))))). 7.74/9.40 thf(ntpp_type, type, ntpp: (reg > (reg > $o))). 7.74/9.40 thf(ntpp_def, definition, (ntpp = (^ [A:reg,B:reg]: ((pp @ A @ B) & ~ (? [C:reg]: ((ec @ C @ A) & (ec @ C @ B))))))). 7.74/9.40 thf(catalunya_type, type, catalunya: reg). 7.74/9.40 thf(france_type, type, france: reg). 7.74/9.40 thf(spain_type, type, spain: reg). 7.74/9.40 thf(paris_type, type, paris: reg). 7.74/9.40 thf(a_type, type, a: ($i > ($i > $o))). 7.74/9.40 thf(fool_type, type, fool: ($i > ($i > $o))). 7.74/9.40 thf(5,axiom,((mvalid @ (mforall_prop @ (^ [A:($i > $o)]: (mimplies @ (mbox @ fool @ A) @ (mbox @ fool @ (mbox @ fool @ A))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',k_axiom_for_fool)). 7.74/9.40 thf(42,plain,((! [A:$i,B:($i > $o)]: (~ (! [C:$i]: (~ (fool @ A @ C) | (B @ C))) | ! [C:$i]: (~ (fool @ A @ C) | ! [D:$i]: (~ (fool @ C @ D) | (B @ D)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[5])). 7.74/9.40 thf(8,axiom,((mvalid @ (mbox @ fool @ (^ [A:$i]: (ec @ spain @ france))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2)). 7.74/9.40 thf(61,plain,((! [A:$i,B:$i]: (~ (fool @ A @ B) | ((c @ spain @ france) & ~ (? [C:reg]: (! [D:reg]: ((c @ D @ C) => (c @ D @ spain)) & ! [D:reg]: ((c @ D @ C) => (c @ D @ france)))))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[8])). 7.74/9.40 thf(3,axiom,((! [A:reg,B:reg]: ((c @ B @ A) <= (c @ A @ B)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c_symmetric)). 7.74/9.40 thf(38,plain,((! [A:reg,B:reg]: ((c @ B @ A) | ~ (c @ A @ B)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[3])). 7.74/9.40 thf(6,axiom,((mvalid @ (mbox @ a @ (^ [A:$i]: (ntpp @ paris @ france))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3)). 7.74/9.40 thf(45,plain,((! [A:$i,B:$i]: (~ (a @ A @ B) | (! [C:reg]: ((c @ C @ paris) => (c @ C @ france)) & ~ (! [C:reg]: ((c @ C @ france) => (c @ C @ paris))) & ~ (? [C:reg]: ((c @ C @ paris) & ~ (? [D:reg]: (! [E:reg]: ((c @ E @ D) => (c @ E @ C)) & ! [E:reg]: ((c @ E @ D) => (c @ E @ paris)))) & (c @ C @ france) & ~ (? [D:reg]: (! [E:reg]: ((c @ E @ D) => (c @ E @ C)) & ! [E:reg]: ((c @ E @ D) => (c @ E @ france)))))))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[6])). 7.74/9.40 thf(10,axiom,((mvalid @ (mbox @ a @ (^ [A:$i]: (tpp @ catalunya @ spain))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1)). 7.74/9.40 thf(71,plain,((! [A:$i,B:$i]: (~ (a @ A @ B) | (! [C:reg]: ((c @ C @ catalunya) => (c @ C @ spain)) & ~ (! [C:reg]: ((c @ C @ spain) => (c @ C @ catalunya))) & ? [C:reg]: ((c @ C @ catalunya) & ~ (? [D:reg]: (! [E:reg]: ((c @ E @ D) => (c @ E @ C)) & ! [E:reg]: ((c @ E @ D) => (c @ E @ catalunya)))) & (c @ C @ spain) & ~ (? [D:reg]: (! [E:reg]: ((c @ E @ D) => (c @ E @ C)) & ! [E:reg]: ((c @ E @ D) => (c @ E @ spain))))))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[10])). 7.74/9.40 thf(1,conjecture,((mvalid @ (mbox @ a @ (^ [A:$i]: ! [B:reg]: (((o @ B @ paris) | (o @ B @ catalunya)) => ((o @ B @ spain) | (o @ B @ france))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con)). 7.74/9.40 thf(2,negated_conjecture,((~ (mvalid @ (mbox @ a @ (^ [A:$i]: ! [B:reg]: (((o @ B @ paris) | (o @ B @ catalunya)) => ((o @ B @ spain) | (o @ B @ france)))))))),inference(neg_conjecture,[status(cth)],[1])). 7.74/9.40 thf(11,plain,((~ (! [A:$i,B:$i]: (~ (a @ A @ B) | ! [C:reg]: ((? [D:reg]: (! [E:reg]: ((c @ E @ D) => (c @ E @ C)) & ! [E:reg]: ((c @ E @ D) => (c @ E @ paris))) | ? [D:reg]: (! [E:reg]: ((c @ E @ D) => (c @ E @ C)) & ! [E:reg]: ((c @ E @ D) => (c @ E @ catalunya)))) => (? [D:reg]: (! [E:reg]: ((c @ E @ D) => (c @ E @ C)) & ! [E:reg]: ((c @ E @ D) => (c @ E @ spain))) | ? [D:reg]: (! [E:reg]: ((c @ E @ D) => (c @ E @ C)) & ! [E:reg]: ((c @ E @ D) => (c @ E @ france))))))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[2])). 7.74/9.40 thf(4,axiom,((! [A:reg]: (c @ A @ A))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c_reflexive)). 7.74/9.40 thf(40,plain,((! [A:reg]: (c @ A @ A))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[4])). 7.74/9.40 thf(7,axiom,((mvalid @ (mforall_prop @ (^ [A:($i > $o)]: (mimplies @ (mbox @ fool @ A) @ A))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t_axiom_for_fool)). 7.74/9.40 thf(58,plain,((! [A:$i,B:($i > $o)]: (~ (! [C:$i]: (~ (fool @ A @ C) | (B @ C))) | (B @ A)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[7])). 7.74/9.40 thf(9,axiom,((mvalid @ (mforall_prop @ (^ [A:($i > $o)]: (mimplies @ (mbox @ fool @ A) @ (mbox @ a @ A)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_axiom_for_fool_a)). 7.74/9.40 thf(68,plain,((! [A:$i,B:($i > $o)]: (~ (! [C:$i]: (~ (fool @ A @ C) | (B @ C))) | ! [C:$i]: (~ (a @ A @ C) | (B @ C))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[9])). 7.74/9.40 thf(574,plain,($false),inference(e,[status(thm)],[42,61,38,45,71,11,40,58,68])). 7.74/9.40 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p 7.74/9.40 % [INFO] Killing All external provers ... 7.74/9.40 FINAL WATCH: 7.3 CPU 2.3 WC 7.74/9.40 Killed 3 orphans 7.74/9.40 Killed 4 orphans 7.74/9.40 EOF