%------------------------------------------------------------------------------ % File : ePrincess---1.0 % Problem : CSR035+1 : TPTP v8.1.0. Released v3.4.0. % Transfm : none % Format : tptp:raw % Command : ePrincess-casc -timeout=%d %s % Computer : n016.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 600s % DateTime : Fri Jul 15 02:50:23 EDT 2022 % Result : Theorem 2.30s 1.26s % Output : Proof 3.45s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.12 % Problem : CSR035+1 : TPTP v8.1.0. Released v3.4.0. % 0.03/0.12 % Command : ePrincess-casc -timeout=%d %s % 0.12/0.33 % Computer : n016.cluster.edu % 0.12/0.33 % Model : x86_64 x86_64 % 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.33 % Memory : 8042.1875MB % 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.33 % CPULimit : 300 % 0.12/0.33 % WCLimit : 600 % 0.12/0.33 % DateTime : Sat Jun 11 02:31:55 EDT 2022 % 0.12/0.33 % CPUTime : % 0.54/0.61 ____ _ % 0.54/0.61 ___ / __ \_____(_)___ ________ __________ % 0.54/0.61 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/ % 0.54/0.61 / __/ ____/ / / / / / / /__/ __(__ |__ ) % 0.54/0.61 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/ % 0.54/0.61 % 0.54/0.61 A Theorem Prover for First-Order Logic % 0.54/0.62 (ePrincess v.1.0) % 0.54/0.62 % 0.54/0.62 (c) Philipp Rümmer, 2009-2015 % 0.54/0.62 (c) Peter Backeman, 2014-2015 % 0.54/0.62 (contributions by Angelo Brillout, Peter Baumgartner) % 0.54/0.62 Free software under GNU Lesser General Public License (LGPL). % 0.54/0.62 Bug reports to peter@backeman.se % 0.54/0.62 % 0.54/0.62 For more information, visit http://user.uu.se/~petba168/breu/ % 0.54/0.62 % 0.54/0.62 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ... % 0.75/0.68 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all % 1.55/1.01 Prover 0: Preprocessing ... % 2.13/1.20 Prover 0: Constructing countermodel ... % 2.30/1.26 Prover 0: proved (579ms) % 2.30/1.26 % 2.30/1.26 No countermodel exists, formula is valid % 2.30/1.26 % SZS status Theorem for theBenchmark % 2.30/1.26 % 2.30/1.26 Generating proof ... found it (size 4) % 3.17/1.46 % 3.17/1.46 % SZS output start Proof for theBenchmark % 3.17/1.46 Assumed formulas after preprocessing and simplification: % 3.17/1.46 | (0) ? [v0] : (f_instancewithrelationtofn(c_footballteam, c_affiliatedwith, c_beloitcollege) = v0 & prettystring(v0, s_thefootballteamwhohasbeenaffiliatedwithbeloitcollege) & mtvisible(c_basekb) & mtvisible(c_englishmt) & ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v2 = v1 | ~ (f_instancewithrelationtofn(v5, v4, v3) = v2) | ~ (f_instancewithrelationtofn(v5, v4, v3) = v1)) & ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (f_instancewithrelationtofn(v1, v2, v3) = v4) | natargument(v4, n_3, v3)) & ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (f_instancewithrelationtofn(v1, v2, v3) = v4) | natargument(v4, n_2, v2)) & ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (f_instancewithrelationtofn(v1, v2, v3) = v4) | natargument(v4, n_1, v1)) & ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (f_instancewithrelationtofn(v1, v2, v3) = v4) | natfunction(v4, c_instancewithrelationtofn)) & ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (f_instancewithrelationtofn(v1, v2, v3) = v4) | thing(v4)) & ! [v1] : ! [v2] : ! [v3] : ( ~ genls(v3, v2) | ~ disjointwith(v1, v2) | disjointwith(v1, v3)) & ! [v1] : ! [v2] : ! [v3] : ( ~ genls(v3, v1) | ~ disjointwith(v1, v2) | disjointwith(v3, v2)) & ! [v1] : ! [v2] : ! [v3] : ( ~ genls(v2, v3) | ~ isa(v1, v2) | isa(v1, v3)) & ! [v1] : ! [v2] : ! [v3] : ( ~ genlpreds(v3, v1) | ~ genlinverse(v1, v2) | genlinverse(v3, v2)) & ! [v1] : ! [v2] : ! [v3] : ( ~ genlpreds(v2, v3) | ~ genlpreds(v1, v2) | genlpreds(v1, v3)) & ! [v1] : ! [v2] : ! [v3] : ( ~ genlpreds(v2, v3) | ~ genlinverse(v1, v2) | genlinverse(v1, v3)) & ! [v1] : ! [v2] : ! [v3] : ( ~ genlinverse(v2, v3) | ~ genlinverse(v1, v2) | genlpreds(v1, v3)) & ! [v1] : ! [v2] : ! [v3] : ( ~ disjointwith(v2, v3) | ~ isa(v1, v3) | ~ isa(v1, v2)) & ! [v1] : ! [v2] : ( ~ affiliatedwith(v1, v2) | agent_generic(v2)) & ! [v1] : ! [v2] : ( ~ affiliatedwith(v1, v2) | agent_generic(v1)) & ! [v1] : ! [v2] : ( ~ affiliatedwith(v1, v2) | affiliatedwith(v2, v1)) & ! [v1] : ! [v2] : ( ~ genlpreds(v1, v2) | predicate(v2)) & ! [v1] : ! [v2] : ( ~ genlpreds(v1, v2) | predicate(v1)) & ! [v1] : ! [v2] : ( ~ genlinverse(v1, v2) | binarypredicate(v2)) & ! [v1] : ! [v2] : ( ~ genlinverse(v1, v2) | binarypredicate(v1)) & ! [v1] : ! [v2] : ( ~ disjointwith(v1, v2) | collection(v2)) & ! [v1] : ! [v2] : ( ~ disjointwith(v1, v2) | collection(v1)) & ! [v1] : ! [v2] : ( ~ disjointwith(v1, v2) | disjointwith(v2, v1)) & ! [v1] : ! [v2] : ( ~ isa(v1, v2) | thing(v1)) & ! [v1] : ! [v2] : ( ~ isa(v1, v2) | collection(v2)) & ! [v1] : ! [v2] : ( ~ prettystring(v1, v2) | controlcharacterfreestring(v2)) & ! [v1] : ! [v2] : ( ~ prettystring(v1, v2) | thing(v1)) & ! [v1] : ( ~ footballteam(v1) | isa(v1, c_footballteam)) & ! [v1] : ~ affiliatedwith(v1, v1) & ! [v1] : ( ~ predicate(v1) | genlpreds(v1, v1)) & ! [v1] : ( ~ isa(v1, c_footballteam) | footballteam(v1)) & ! [v1] : ~ prettystring(v0, v1)) % 3.26/1.51 | Instantiating (0) with all_0_0_0 yields: % 3.26/1.51 | (1) f_instancewithrelationtofn(c_footballteam, c_affiliatedwith, c_beloitcollege) = all_0_0_0 & prettystring(all_0_0_0, s_thefootballteamwhohasbeenaffiliatedwithbeloitcollege) & mtvisible(c_basekb) & mtvisible(c_englishmt) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (f_instancewithrelationtofn(v4, v3, v2) = v1) | ~ (f_instancewithrelationtofn(v4, v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (f_instancewithrelationtofn(v0, v1, v2) = v3) | natargument(v3, n_3, v2)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (f_instancewithrelationtofn(v0, v1, v2) = v3) | natargument(v3, n_2, v1)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (f_instancewithrelationtofn(v0, v1, v2) = v3) | natargument(v3, n_1, v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (f_instancewithrelationtofn(v0, v1, v2) = v3) | natfunction(v3, c_instancewithrelationtofn)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (f_instancewithrelationtofn(v0, v1, v2) = v3) | thing(v3)) & ! [v0] : ! [v1] : ! [v2] : ( ~ genls(v2, v1) | ~ disjointwith(v0, v1) | disjointwith(v0, v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ genls(v2, v0) | ~ disjointwith(v0, v1) | disjointwith(v2, v1)) & ! [v0] : ! [v1] : ! [v2] : ( ~ genls(v1, v2) | ~ isa(v0, v1) | isa(v0, v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ genlpreds(v2, v0) | ~ genlinverse(v0, v1) | genlinverse(v2, v1)) & ! [v0] : ! [v1] : ! [v2] : ( ~ genlpreds(v1, v2) | ~ genlpreds(v0, v1) | genlpreds(v0, v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ genlpreds(v1, v2) | ~ genlinverse(v0, v1) | genlinverse(v0, v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ genlinverse(v1, v2) | ~ genlinverse(v0, v1) | genlpreds(v0, v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ disjointwith(v1, v2) | ~ isa(v0, v2) | ~ isa(v0, v1)) & ! [v0] : ! [v1] : ( ~ affiliatedwith(v0, v1) | agent_generic(v1)) & ! [v0] : ! [v1] : ( ~ affiliatedwith(v0, v1) | agent_generic(v0)) & ! [v0] : ! [v1] : ( ~ affiliatedwith(v0, v1) | affiliatedwith(v1, v0)) & ! [v0] : ! [v1] : ( ~ genlpreds(v0, v1) | predicate(v1)) & ! [v0] : ! [v1] : ( ~ genlpreds(v0, v1) | predicate(v0)) & ! [v0] : ! [v1] : ( ~ genlinverse(v0, v1) | binarypredicate(v1)) & ! [v0] : ! [v1] : ( ~ genlinverse(v0, v1) | binarypredicate(v0)) & ! [v0] : ! [v1] : ( ~ disjointwith(v0, v1) | collection(v1)) & ! [v0] : ! [v1] : ( ~ disjointwith(v0, v1) | collection(v0)) & ! [v0] : ! [v1] : ( ~ disjointwith(v0, v1) | disjointwith(v1, v0)) & ! [v0] : ! [v1] : ( ~ isa(v0, v1) | thing(v0)) & ! [v0] : ! [v1] : ( ~ isa(v0, v1) | collection(v1)) & ! [v0] : ! [v1] : ( ~ prettystring(v0, v1) | controlcharacterfreestring(v1)) & ! [v0] : ! [v1] : ( ~ prettystring(v0, v1) | thing(v0)) & ! [v0] : ( ~ footballteam(v0) | isa(v0, c_footballteam)) & ! [v0] : ~ affiliatedwith(v0, v0) & ! [v0] : ( ~ predicate(v0) | genlpreds(v0, v0)) & ! [v0] : ( ~ isa(v0, c_footballteam) | footballteam(v0)) & ! [v0] : ~ prettystring(all_0_0_0, v0) % 3.26/1.52 | % 3.26/1.52 | Applying alpha-rule on (1) yields: % 3.26/1.52 | (2) ! [v0] : ! [v1] : ( ~ genlinverse(v0, v1) | binarypredicate(v0)) % 3.26/1.52 | (3) ! [v0] : ( ~ isa(v0, c_footballteam) | footballteam(v0)) % 3.26/1.52 | (4) ! [v0] : ( ~ footballteam(v0) | isa(v0, c_footballteam)) % 3.26/1.52 | (5) mtvisible(c_basekb) % 3.26/1.52 | (6) ! [v0] : ! [v1] : ( ~ affiliatedwith(v0, v1) | agent_generic(v0)) % 3.26/1.52 | (7) ! [v0] : ! [v1] : ! [v2] : ( ~ genlpreds(v1, v2) | ~ genlinverse(v0, v1) | genlinverse(v0, v2)) % 3.26/1.52 | (8) ! [v0] : ! [v1] : ! [v2] : ( ~ genls(v1, v2) | ~ isa(v0, v1) | isa(v0, v2)) % 3.26/1.52 | (9) ! [v0] : ! [v1] : ! [v2] : ( ~ genlpreds(v2, v0) | ~ genlinverse(v0, v1) | genlinverse(v2, v1)) % 3.26/1.52 | (10) ! [v0] : ! [v1] : ( ~ disjointwith(v0, v1) | collection(v1)) % 3.26/1.52 | (11) ! [v0] : ( ~ predicate(v0) | genlpreds(v0, v0)) % 3.26/1.52 | (12) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (f_instancewithrelationtofn(v0, v1, v2) = v3) | thing(v3)) % 3.26/1.52 | (13) ! [v0] : ! [v1] : ( ~ genlinverse(v0, v1) | binarypredicate(v1)) % 3.26/1.52 | (14) ! [v0] : ! [v1] : ! [v2] : ( ~ genlinverse(v1, v2) | ~ genlinverse(v0, v1) | genlpreds(v0, v2)) % 3.26/1.52 | (15) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (f_instancewithrelationtofn(v0, v1, v2) = v3) | natargument(v3, n_3, v2)) % 3.26/1.52 | (16) ! [v0] : ! [v1] : ( ~ affiliatedwith(v0, v1) | affiliatedwith(v1, v0)) % 3.26/1.52 | (17) ! [v0] : ! [v1] : ( ~ isa(v0, v1) | collection(v1)) % 3.26/1.52 | (18) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (f_instancewithrelationtofn(v0, v1, v2) = v3) | natargument(v3, n_2, v1)) % 3.26/1.52 | (19) mtvisible(c_englishmt) % 3.26/1.52 | (20) ! [v0] : ! [v1] : ! [v2] : ( ~ genls(v2, v1) | ~ disjointwith(v0, v1) | disjointwith(v0, v2)) % 3.45/1.52 | (21) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (f_instancewithrelationtofn(v4, v3, v2) = v1) | ~ (f_instancewithrelationtofn(v4, v3, v2) = v0)) % 3.45/1.52 | (22) prettystring(all_0_0_0, s_thefootballteamwhohasbeenaffiliatedwithbeloitcollege) % 3.45/1.52 | (23) ! [v0] : ! [v1] : ! [v2] : ( ~ genls(v2, v0) | ~ disjointwith(v0, v1) | disjointwith(v2, v1)) % 3.45/1.52 | (24) ! [v0] : ! [v1] : ( ~ affiliatedwith(v0, v1) | agent_generic(v1)) % 3.45/1.52 | (25) ! [v0] : ! [v1] : ( ~ genlpreds(v0, v1) | predicate(v0)) % 3.45/1.52 | (26) ! [v0] : ! [v1] : ! [v2] : ( ~ genlpreds(v1, v2) | ~ genlpreds(v0, v1) | genlpreds(v0, v2)) % 3.45/1.52 | (27) ! [v0] : ~ affiliatedwith(v0, v0) % 3.45/1.52 | (28) ! [v0] : ! [v1] : ( ~ disjointwith(v0, v1) | disjointwith(v1, v0)) % 3.45/1.52 | (29) ! [v0] : ! [v1] : ( ~ prettystring(v0, v1) | thing(v0)) % 3.45/1.52 | (30) ! [v0] : ! [v1] : ( ~ disjointwith(v0, v1) | collection(v0)) % 3.45/1.52 | (31) f_instancewithrelationtofn(c_footballteam, c_affiliatedwith, c_beloitcollege) = all_0_0_0 % 3.45/1.52 | (32) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (f_instancewithrelationtofn(v0, v1, v2) = v3) | natfunction(v3, c_instancewithrelationtofn)) % 3.45/1.52 | (33) ! [v0] : ! [v1] : ( ~ genlpreds(v0, v1) | predicate(v1)) % 3.45/1.53 | (34) ! [v0] : ! [v1] : ! [v2] : ( ~ disjointwith(v1, v2) | ~ isa(v0, v2) | ~ isa(v0, v1)) % 3.45/1.53 | (35) ! [v0] : ~ prettystring(all_0_0_0, v0) % 3.45/1.53 | (36) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (f_instancewithrelationtofn(v0, v1, v2) = v3) | natargument(v3, n_1, v0)) % 3.45/1.53 | (37) ! [v0] : ! [v1] : ( ~ isa(v0, v1) | thing(v0)) % 3.45/1.53 | (38) ! [v0] : ! [v1] : ( ~ prettystring(v0, v1) | controlcharacterfreestring(v1)) % 3.45/1.53 | % 3.45/1.53 | Instantiating formula (35) with s_thefootballteamwhohasbeenaffiliatedwithbeloitcollege and discharging atoms prettystring(all_0_0_0, s_thefootballteamwhohasbeenaffiliatedwithbeloitcollege), yields: % 3.45/1.53 | (39) $false % 3.45/1.53 | % 3.45/1.53 |-The branch is then unsatisfiable % 3.45/1.53 % SZS output end Proof for theBenchmark % 3.45/1.53 % 3.45/1.53 896ms %------------------------------------------------------------------------------