0.00/0.04 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.09 % Command : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox2/solver/bin/leo3.jar /export/starexec/sandbox2/benchmark/theBenchmark.p -t 180 -p --atp eprover=/export/starexec/sandbox2/solver/bin/externals/eprover --instantiate 39 0.20/0.47 % Computer : n026.cluster.edu 0.20/0.47 % Model : x86_64 x86_64 0.20/0.47 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.20/0.47 % Memory : 8046.5625MB 0.20/0.47 % OS : Linux 6.8.0-71-generic 0.20/0.47 % CPULimit : 1440 0.20/0.47 % WCLimit : 180 0.20/0.47 % DateTime : Mon Jul 27 10:28:19 UTC 2026 0.20/0.48 % CPUTime : 0.20/0.48 Running java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox2/solver/bin/leo3.jar /export/starexec/sandbox2/benchmark/theBenchmark.p -t 180 -p --atp eprover=/export/starexec/sandbox2/solver/bin/externals/eprover --instantiate 39 0.96/0.94 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ... 1.54/1.17 % [INFO] Parsing done (230ms). 1.54/1.18 % [INFO] Running in sequential loop mode. 2.65/1.53 % [INFO] eprover registered as external prover. 2.65/1.55 % [INFO] Scanning for conjecture ... 3.03/1.73 % [INFO] Found a conjecture (or negated_conjecture) and 79 axioms. Running axiom selection ... 3.22/1.88 % [INFO] Axiom selection finished. Selected 75 axioms (removed 4 axioms). 3.47/1.97 % [INFO] Problem is higher-order (TPTP THF). 3.47/1.98 % [INFO] Type checking passed. 3.47/1.99 % [CONFIG] Using configuration: timeout(180) with strategy. Searching for refutation ... 46.83/10.40 % [INFO] Killing All external provers ... 38.98/10.41 % Time passed: 9798ms (effective reasoning time: 9216ms) 38.98/10.41 % Solved by strategy 38.98/10.41 % Axioms used in derivation (3): ax_019, ax_058, ax_023 38.98/10.41 % No. of inferences in proof: 34 38.98/10.41 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 9798 ms resp. 9216 ms w/o parsing 38.98/10.46 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p 38.98/10.46 thf(num_type, type, num: $tType). 38.98/10.46 thf(holdsDuring_THFTYPE_IiooI_decl, type, holdsDuring_THFTYPE_IiooI: ($i > ($o > $o))). 38.98/10.46 thf(instance_THFTYPE_IIiioIioI_decl, type, instance_THFTYPE_IIiioIioI: (($i > ($i > $o)) > ($i > $o))). 38.98/10.46 thf(lAnna_THFTYPE_i_decl, type, lAnna_THFTYPE_i: $i). 38.98/10.46 thf(lBinaryPredicate_THFTYPE_i_decl, type, lBinaryPredicate_THFTYPE_i: $i). 38.98/10.46 thf(lBob_THFTYPE_i_decl, type, lBob_THFTYPE_i: $i). 38.98/10.46 thf(lMary_THFTYPE_i_decl, type, lMary_THFTYPE_i: $i). 38.98/10.46 thf(lYearFn_THFTYPE_IiiI_decl, type, lYearFn_THFTYPE_IiiI: ($i > $i)). 38.98/10.46 thf(n2009_THFTYPE_i_decl, type, n2009_THFTYPE_i: $i). 38.98/10.46 thf(parent_THFTYPE_IiioI_decl, type, parent_THFTYPE_IiioI: ($i > ($i > $o))). 38.98/10.46 thf(subclass_THFTYPE_IiioI_decl, type, subclass_THFTYPE_IiioI: ($i > ($i > $o))). 38.98/10.46 thf(52,axiom,((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (~ (parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_019)). 38.98/10.46 thf(149,plain,((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (~ (parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[52])). 38.98/10.46 thf(4,axiom,((instance_THFTYPE_IIiioIioI @ subclass_THFTYPE_IiioI @ lBinaryPredicate_THFTYPE_i)),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_058)). 38.98/10.46 thf(82,plain,((instance_THFTYPE_IIiioIioI @ (subclass_THFTYPE_IiioI) @ lBinaryPredicate_THFTYPE_i)),inference(defexp_and_simp_and_etaexpand,[status(thm)],[4])). 38.98/10.46 thf(1,conjecture,((? [A:($i > ($i > $o)),B:$i,C:$i]: (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (~ (A @ C @ lAnna_THFTYPE_i) & (A @ B @ lAnna_THFTYPE_i))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con)). 38.98/10.46 thf(2,negated_conjecture,((~ (? [A:($i > ($i > $o)),B:$i,C:$i]: (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (~ (A @ C @ lAnna_THFTYPE_i) & (A @ B @ lAnna_THFTYPE_i)))))),inference(neg_conjecture,[status(cth)],[1])). 38.98/10.46 thf(78,plain,((~ (? [A:($i > ($i > $o)),B:$i,C:$i]: (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (~ (A @ C @ lAnna_THFTYPE_i) & (A @ B @ lAnna_THFTYPE_i)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[2])). 38.98/10.46 thf(79,plain,(! [C:$i,B:$i,A:($i > ($i > $o))] : ((~ (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (~ (A @ C @ lAnna_THFTYPE_i) & (A @ B @ lAnna_THFTYPE_i)))))),inference(cnf,[status(esa)],[78])). 38.98/10.46 thf(190,plain,(! [C:$i,B:$i,A:($i > ($i > $o))] : ((~ (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (~ (($true)) & (A @ B @ lAnna_THFTYPE_i)))) | ((instance_THFTYPE_IIiioIioI @ (subclass_THFTYPE_IiioI) @ lBinaryPredicate_THFTYPE_i) != (A @ C @ lAnna_THFTYPE_i)))),inference(paramod_ordered,[status(thm)],[82,79])). 38.98/10.46 thf(191,plain,(! [B:$i,A:($i > ($i > $o))] : ((~ (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ ($false))) | ((instance_THFTYPE_IIiioIioI @ (subclass_THFTYPE_IiioI) @ lBinaryPredicate_THFTYPE_i) != (A @ B @ lAnna_THFTYPE_i)))),inference(simp,[status(thm)],[190])). 38.98/10.46 thf(212,plain,((~ (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ ($false)))),inference(pre_uni,[status(thm)],[191:[bind(A, $thf(^ [C:$i,D:$i]: (instance_THFTYPE_IIiioIioI @ subclass_THFTYPE_IiioI @ lBinaryPredicate_THFTYPE_i))),bind(B, $thf(B))]])). 38.98/10.46 thf(1532,plain,(~ (($true)) | ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (~ (parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i))) != (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ ($false)))),inference(paramod_ordered,[status(thm)],[149,212])). 38.98/10.46 thf(1533,plain,(((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (~ (parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i))) != (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ ($false)))),inference(simp,[status(thm)],[1532])). 38.98/10.46 thf(1556,plain,(((lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) != (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i)) | (~ (parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i))),inference(simp,[status(thm)],[1533])). 38.98/10.46 thf(1571,plain,(((lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) != (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i)) | (~ (parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i))),inference(cnf,[status(esa)],[1556])). 38.98/10.46 thf(1572,plain,((~ (parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i))),inference(simp,[status(thm)],[1571])). 38.98/10.46 thf(56,axiom,((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_023)). 38.98/10.46 thf(153,plain,((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[56])). 38.98/10.46 thf(1005,plain,(~ (($true)) | ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i)) != (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ ($false)))),inference(paramod_ordered,[status(thm)],[153,212])). 38.98/10.46 thf(1006,plain,(((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i)) != (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ ($false)))),inference(simp,[status(thm)],[1005])). 38.98/10.46 thf(1019,plain,(((lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) != (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i)) | (parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i)),inference(simp,[status(thm)],[1006])). 38.98/10.46 thf(1037,plain,((parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i)),inference(simp,[status(thm)],[1019])). 38.98/10.46 thf(1041,plain,((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ ($true))),inference(rewrite,[status(thm)],[153,1037])). 38.98/10.46 thf(1047,plain,(! [C:$i,B:$i,A:($i > ($i > $o))] : ((~ (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (~ (A @ C @ lAnna_THFTYPE_i) & (($true))))) | ((parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i) != (A @ B @ lAnna_THFTYPE_i)))),inference(paramod_ordered,[status(thm)],[1037,79])). 38.98/10.46 thf(1048,plain,(! [C:$i,B:$i,A:($i > ($i > $o))] : ((~ (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (~ (A @ C @ lAnna_THFTYPE_i)))) | ((parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i) != (A @ B @ lAnna_THFTYPE_i)))),inference(simp,[status(thm)],[1047])). 38.98/10.46 thf(1054,plain,(! [A:$i] : ((~ (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (~ (parent_THFTYPE_IiioI @ A @ lAnna_THFTYPE_i)))))),inference(pre_uni,[status(thm)],[1048:[bind(A, $thf(^ [D:$i,E:$i]: (parent_THFTYPE_IiioI @ D @ lAnna_THFTYPE_i))),bind(B, $thf(lMary_THFTYPE_i)),bind(C, $thf(C))]])). 38.98/10.46 thf(1057,plain,(! [A:$i] : ((~ (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (~ (parent_THFTYPE_IiioI @ A @ lAnna_THFTYPE_i)))))),inference(simp,[status(thm)],[1054])). 38.98/10.46 thf(3836,plain,(! [A:$i] : (~ (($true)) | ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (~ (parent_THFTYPE_IiioI @ A @ lAnna_THFTYPE_i))) != (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ ($true))))),inference(paramod_ordered,[status(thm)],[1041,1057])). 38.98/10.46 thf(3837,plain,(! [A:$i] : (((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (~ (parent_THFTYPE_IiioI @ A @ lAnna_THFTYPE_i))) != (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ ($true))))),inference(simp,[status(thm)],[3836])). 38.98/10.46 thf(3860,plain,(! [A:$i] : (((lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) != (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i)) | (~ (~ (parent_THFTYPE_IiioI @ A @ lAnna_THFTYPE_i))))),inference(simp,[status(thm)],[3837])). 38.98/10.46 thf(3868,plain,(! [A:$i] : (((lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) != (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i)) | (parent_THFTYPE_IiioI @ A @ lAnna_THFTYPE_i))),inference(cnf,[status(esa)],[3860])). 38.98/10.46 thf(3869,plain,(! [A:$i] : ((parent_THFTYPE_IiioI @ A @ lAnna_THFTYPE_i))),inference(simp,[status(thm)],[3868])). 38.98/10.46 thf(3873,plain,(~ (($true))),inference(rewrite,[status(thm)],[1572,3869])). 38.98/10.46 thf(3874,plain,(($false)),inference(simp,[status(thm)],[3873])). 38.98/10.46 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p 38.98/10.46 % [INFO] Killing All external provers ... 0.23/10.53 EOF