0.00/0.00 % Leo-III: Strategy 1 (for '60') 5.90/6.08 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ... 5.90/6.08 % [INFO] Parsing done (208ms). 5.90/6.08 % [INFO] Running in sequential loop mode. 5.90/6.08 % [CONFIG] Using configuration: timeout(60) with strategy 5.90/6.08 % [INFO] eprover registered as external prover. 5.90/6.08 % [INFO] cvc4 registered as external prover. 5.90/6.08 % [INFO] Parsing finished. Scanning for conjecture ... 5.90/6.08 % [INFO] Found a conjecture and 0 axioms. Running axiom selection ... 5.90/6.08 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms). 5.90/6.08 % [INFO] Problem is higher-order (TPTP THF). 5.90/6.08 % [INFO] Type checking passed. Searching for refutation ... 5.90/6.08 % External prover 'e' found a proof! 5.90/6.08 % [INFO] Killing All external provers ... 5.90/6.08 % Time passed: 1814ms (effective reasoning time: 1251ms) 5.90/6.08 % Solved by strategy 5.90/6.08 % Axioms used in derivation (0): 5.90/6.08 % No. of inferences in proof: 4 5.90/6.08 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1814 ms resp. 1251 ms w/o parsing 5.90/6.08 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p 5.90/6.08 thf(term_type, type, term: $tType). 5.90/6.08 thf(subst_type, type, subst: $tType). 5.90/6.08 thf(one_type, type, one: term). 5.90/6.08 thf(ap_type, type, ap: (term > (term > term))). 5.90/6.08 thf(lam_type, type, lam: (term > term)). 5.90/6.08 thf(sub_type, type, sub: (term > (subst > term))). 5.90/6.08 thf(id_type, type, id: subst). 5.90/6.08 thf(sh_type, type, sh: subst). 5.90/6.08 thf(push_type, type, push: (term > (subst > subst))). 5.90/6.08 thf(comp_type, type, comp: (subst > (subst > subst))). 5.90/6.08 thf(var_type, type, var: (term > $o)). 5.90/6.08 thf(hoaslaminj_gthm_type, type, hoaslaminj_gthm: $o). 5.90/6.08 thf(hoaslaminj_gthm_def, definition, (hoaslaminj_gthm = ((axapp) => ((axvarcons) => ((axvarid) => ((axabs) => ((axclos) => ((axidl) => ((axshiftcons) => ((axassoc) => ((axmap) => ((axidr) => ((axvarshift) => ((axscons) => ((ulamvar1) => ((ulamvarsh) => ((ulamvarind) => ((apinj1) => ((apinj2) => ((laminj) => ((shinj) => ((lamnotap) => ((apnotvar) => ((lamnotvar) => ((induction) => ((pushprop) => ((induction2lem) => ((induction2) => ((substmonoid) => ((termmset) => ((hoasapinj1) => ((hoasapinj2) => (hoaslaminj))))))))))))))))))))))))))))))))). 5.90/6.08 thf(1,conjecture,(hoaslaminj_gthm),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm)). 5.90/6.08 thf(2,negated_conjecture,(~ (hoaslaminj_gthm)),inference(neg_conjecture,[status(cth)],[1])). 5.90/6.08 thf(3,plain,((~ ((! [A:term,B:term,C:subst]: ((sub @ (ap @ A @ B) @ C) = (ap @ (sub @ A @ C) @ (sub @ B @ C)))) => ((! [A:term,B:subst]: ((sub @ one @ (push @ A @ B)) = A)) => ((! [A:term]: ((sub @ A @ id) = A)) => ((! [A:term,B:subst]: ((sub @ (lam @ A) @ B) = (lam @ (sub @ A @ (push @ one @ (comp @ B @ sh)))))) => ((! [A:term,B:subst,C:subst]: ((sub @ (sub @ A @ B) @ C) = (sub @ A @ (comp @ B @ C)))) => ((! [A:subst]: ((comp @ id @ A) = A)) => ((! [A:term,B:subst]: ((comp @ sh @ (push @ A @ B)) = B)) => ((! [A:subst,B:subst,C:subst]: ((comp @ (comp @ A @ B) @ C) = (comp @ A @ (comp @ B @ C)))) => ((! [A:term,B:subst,C:subst]: ((comp @ (push @ A @ B) @ C) = (push @ (sub @ A @ C) @ (comp @ B @ C)))) => ((! [A:subst]: ((comp @ A @ id) = A)) => (((push @ one @ sh) = id) => ((! [A:subst]: ((push @ (sub @ one @ A) @ (comp @ sh @ A)) = A)) => ((var @ one) => ((! [A:term]: ((var @ A) => (var @ (sub @ A @ sh)))) => ((! [A:(term > $o)]: ((A @ one) => ((! [B:term]: ((var @ B) => ((A @ B) => (A @ (sub @ B @ sh))))) => (! [B:term]: ((var @ B) => (A @ B)))))) => ((! [A:term,B:term,C:term,D:term]: (((ap @ A @ C) = (ap @ B @ D)) => (A = B))) => ((! [A:term,B:term,C:term,D:term]: (((ap @ A @ C) = (ap @ B @ D)) => (C = D))) => ((! [A:term,B:term]: (((lam @ A) = (lam @ B)) => (A = B))) => ((! [A:term,B:term]: (((sub @ A @ sh) = (sub @ B @ sh)) => (A = B))) => ((! [A:term,B:term,C:term]: ~ ((lam @ A) = (ap @ B @ C))) => ((! [A:term,B:term]: ~ (var @ (ap @ A @ B))) => ((! [A:term]: ~ (var @ (lam @ A))) => ((! [A:(term > $o)]: ((! [B:term]: ((var @ B) => (A @ B))) => ((! [B:term,C:term]: ((A @ B) => ((A @ C) => (A @ (ap @ B @ C))))) => ((! [B:term]: ((A @ B) => (A @ (lam @ B)))) => (! [B:term]: (A @ B)))))) => ((! [A:(term > $o),B:term,C:subst]: ((! [D:term]: ((var @ D) => (A @ (sub @ D @ C)))) => ((A @ B) => (! [D:term]: ((var @ D) => (A @ (sub @ D @ (push @ B @ C)))))))) => ((! [A:(term > $o)]: ((! [B:term,C:term]: ((A @ B) => ((A @ C) => (A @ (ap @ B @ C))))) => ((! [B:term]: ((! [C:term]: ((A @ C) => (A @ (sub @ B @ (push @ C @ id))))) => (A @ (lam @ B)))) => (! [B:term,C:subst]: ((! [D:term]: ((var @ D) => (A @ (sub @ D @ C)))) => (A @ (sub @ B @ C))))))) => ((! [A:(term > $o)]: ((! [B:term]: ((var @ B) => (A @ B))) => ((! [B:term,C:term]: ((A @ B) => ((A @ C) => (A @ (ap @ B @ C))))) => ((! [B:term]: ((! [C:term]: ((A @ C) => (A @ (sub @ B @ (push @ C @ id))))) => (A @ (lam @ B)))) => (! [B:term]: (A @ B)))))) => ((! [A:subst,B:subst,C:subst]: ((comp @ (comp @ A @ B) @ C) = (comp @ A @ (comp @ B @ C))) & ! [A:subst]: ((comp @ id @ A) = A) & ! [A:subst]: ((comp @ A @ id) = A)) => ((! [A:term,B:subst,C:subst]: ((sub @ (sub @ A @ B) @ C) = (sub @ A @ (comp @ B @ C))) & ! [A:term]: ((sub @ A @ id) = A)) => ((! [A:term,B:term,C:term,D:term]: (((ap @ (sub @ A @ id) @ C) = (ap @ (sub @ B @ id) @ D)) => (A = B))) => ((! [A:term,B:term,C:term,D:term]: (((ap @ (sub @ A @ id) @ C) = (ap @ (sub @ B @ id) @ D)) => (C = D))) => (! [A:(subst > (term > term))]: ((! [B:subst,C:term,D:subst]: ((sub @ (A @ B @ C) @ D) = (A @ (comp @ B @ D) @ (sub @ C @ D)))) => (! [B:(subst > (term > term))]: ((! [C:subst,D:term,E:subst]: ((sub @ (B @ C @ D) @ E) = (B @ (comp @ C @ E) @ (sub @ D @ E)))) => (((lam @ (A @ sh @ one)) = (lam @ (B @ sh @ one))) => (! [C:subst,D:term]: ((A @ C @ D) = (B @ C @ D)))))))))))))))))))))))))))))))))))))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[2])). 5.90/6.08 thf(175,plain,($false),inference(e,[status(thm)],[3])). 5.90/6.08 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p 5.90/6.08 % [INFO] Killing All external provers ... 5.90/6.08 FINAL WATCH: 5.8 CPU 2.0 WC 5.90/6.08 Killed 1 orphans 5.90/6.08 Killed 2 orphans 5.90/6.08 Killed 1 orphans 5.90/6.08 EOF