0.00/0.01	% Leo-III: Strategy 1 (for '60')
22.66/11.30	% [INFO] 	 Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ... 
22.66/11.30	% [INFO] 	 Parsing done (100ms). 
22.66/11.30	% [INFO] 	 Running in sequential loop mode. 
22.66/11.30	% [CONFIG] 	 Using configuration: timeout(60) with strategy<name(default),share(1.0),primSubst(3),sos(false),unifierCount(10),uniDepth(8),boolExt(true),choice(true),renaming(true),funcspec(false), domConstr(0),specialInstances(39),restrictUniAttempts(true),termOrdering(CPO)> 
22.66/11.30	% [INFO] 	 eprover registered as external prover. 
22.66/11.30	% [INFO] 	 cvc4 registered as external prover. 
22.66/11.30	% [INFO] 	 Parsing finished. Scanning for conjecture ... 
22.66/11.30	% [INFO] 	 Found a conjecture and 0 axioms. Running axiom selection ... 
22.66/11.30	% [INFO] 	 Axiom selection finished. Selected 0 axioms (removed 0 axioms). 
22.66/11.30	% [INFO] 	 Problem is higher-order (TPTP THF). 
22.66/11.30	% [INFO] 	 Type checking passed. Searching for refutation ... 
22.66/11.30	% [INFO] 	 Killing All external provers ... 
22.66/11.30	% Time passed: 6991ms (effective reasoning time: 6514ms)
22.66/11.30	% Solved by strategy<name(default),share(1.0),primSubst(3),sos(false),unifierCount(10),uniDepth(8),boolExt(true),choice(true),renaming(true),funcspec(false), domConstr(0),specialInstances(39),restrictUniAttempts(true),termOrdering(CPO)>
22.66/11.30	% Axioms used in derivation (0): 
22.66/11.30	% No. of inferences in proof: 20
22.66/11.30	% SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 6991 ms resp. 6514 ms w/o parsing
22.66/11.30	% SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
22.66/11.30	thf(a_type, type, a: $tType).
22.66/11.30	thf(sk1_type, type, sk1: (a > (a > $o))).
22.66/11.30	thf(sk2_type, type, sk2: ((a > $o) > a)).
22.66/11.30	thf(1,conjecture,((~ (? [A:(a > (a > $o))]: ! [B:(a > $o)]: ? [C:a]: ! [D:((a > $o) > $o)]: ((D @ (A @ C)) => (D @ B))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cCT29)).
22.66/11.30	thf(2,negated_conjecture,((~ (~ (? [A:(a > (a > $o))]: ! [B:(a > $o)]: ? [C:a]: ! [D:((a > $o) > $o)]: ((D @ (A @ C)) => (D @ B)))))),inference(neg_conjecture,[status(cth)],[1])).
22.66/11.30	thf(3,plain,((~ (~ (? [A:(a > (a > $o))]: ! [B:(a > $o)]: ? [C:a]: ! [D:((a > $o) > $o)]: ((D @ (A @ C)) => (D @ (B))))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[2])).
22.66/11.30	thf(4,plain,((? [A:(a > (a > $o))]: ! [B:(a > $o)]: ? [C:a]: ! [D:((a > $o) > $o)]: ((D @ (A @ C)) => (D @ (B))))),inference(polarity_switch,[status(thm)],[3])).
22.66/11.30	thf(5,plain,(! [B:((a > $o) > $o),A:(a > $o)] : ((~ (B @ (sk1 @ (sk2 @ A)))) | (B @ (A)))),inference(cnf,[status(esa)],[4])).
22.66/11.30	thf(25,plain,(! [B:((a > $o) > $o),A:(a > $o)] : ((~ (~ (B @ (sk1 @ (sk2 @ A))))) | (~ (B @ (A))))),inference(prim_subst,[status(thm)],[5:[bind(A, $thf(A)),bind(B, $thf(^ [D:(a > $o)]: ~ (C @ D)))]])).
22.66/11.30	thf(61,plain,(! [B:((a > $o) > $o),A:(a > $o)] : ((~ (B @ (A))) | (B @ (sk1 @ (sk2 @ A))))),inference(cnf,[status(esa)],[25])).
22.66/11.30	thf(62,plain,(! [B:((a > $o) > $o),A:(a > $o)] : ((~ (B @ (A))) | (B @ (sk1 @ (sk2 @ A))))),inference(simp,[status(thm)],[61])).
22.66/11.30	thf(6,plain,(! [A:(a > $o)] : ((~ ((sk1 @ (sk2 @ A)) = (sk1 @ (sk2 @ A)))) | ((sk1 @ (sk2 @ A)) = (A)))),inference(replace_leibeq,[status(thm)],[5:[bind(A, $thf(A)),bind(B, $thf(= @ (a > $o) @ (sk1 @ (sk2 @ A))))]])).
22.66/11.30	thf(7,plain,(! [A:(a > $o)] : (((sk1 @ (sk2 @ A)) != (sk1 @ (sk2 @ A))) | ((sk1 @ (sk2 @ A)) = (A)))),inference(lifteq,[status(thm)],[6])).
22.66/11.30	thf(8,plain,(! [A:(a > $o)] : (((sk1 @ (sk2 @ A)) = (A)))),inference(simp,[status(thm)],[7])).
22.66/11.30	thf(9,plain,(! [B:a,A:(a > $o)] : (((sk1 @ (sk2 @ (A)) @ B) = (A @ B)))),inference(func_ext,[status(esa)],[8])).
22.66/11.30	thf(10,plain,(! [B:a,A:(a > $o)] : ((~ (sk1 @ (sk2 @ (A)) @ B)) | (A @ B))),inference(bool_ext,[status(thm)],[9])).
22.66/11.30	thf(745,plain,(! [B:a,A:(a > $o)] : ((~ (sk1 @ (sk2 @ (A)) @ B)) | ((A @ B) != (~ (sk1 @ (sk2 @ (A)) @ B))) | ~ ($true))),inference(eqfactor_ordered,[status(thm)],[10])).
22.66/11.30	thf(785,plain,((~ (sk1 @ (sk2 @ (^ [A:a]: ~ (sk1 @ A @ A))) @ (sk2 @ (^ [A:a]: ~ (sk1 @ A @ A)))))),inference(pre_uni,[status(thm)],[745:[bind(A, $thf(^ [C:a]: ~ (sk1 @ C @ C))),bind(B, $thf(sk2 @ (^ [C:a]: ~ (sk1 @ C @ C))))]])).
22.66/11.30	thf(902,plain,(! [B:((a > $o) > $o),A:(a > $o)] : ((~ (B @ (A))) | ((B @ (sk1 @ (sk2 @ A))) != (sk1 @ (sk2 @ (^ [C:a]: ~ (sk1 @ C @ C))) @ (sk2 @ (^ [C:a]: ~ (sk1 @ C @ C))))))),inference(paramod_ordered,[status(thm)],[62,785])).
22.66/11.30	thf(909,plain,((~ (~ (sk1 @ (sk2 @ (^ [A:a]: ~ (sk1 @ A @ A))) @ (sk2 @ (^ [A:a]: ~ (sk1 @ A @ A))))))),inference(pre_uni,[status(thm)],[902:[bind(A, $thf(^ [C:a]: ~ (sk1 @ C @ C))),bind(B, $thf(^ [C:(a > $o)]: (C @ (sk2 @ (^ [D:a]: ~ (sk1 @ D @ D))))))]])).
22.66/11.30	thf(916,plain,((sk1 @ (sk2 @ (^ [A:a]: ~ (sk1 @ A @ A))) @ (sk2 @ (^ [A:a]: ~ (sk1 @ A @ A))))),inference(cnf,[status(esa)],[909])).
22.66/11.30	thf(1014,plain,($false),inference(rewrite,[status(thm)],[916,785])).
22.66/11.30	thf(1015,plain,($false),inference(simp,[status(thm)],[1014])).
22.66/11.30	% SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
22.66/11.30	% [INFO] 	 Killing All external provers ... 
22.66/11.30	FINAL WATCH: 16.7 CPU 7.2 WC
22.66/11.30	Killed 1 orphans
22.66/11.30	Killed 2 orphans
22.66/11.30	Killed 1 orphans
22.66/11.30	EOF