%------------------------------------------------------------------------------ % File : ePrincess---1.0 % Problem : SEU356+1 : TPTP v8.1.0. Released v3.3.0. % Transfm : none % Format : tptp:raw % Command : ePrincess-casc -timeout=%d %s % Computer : n032.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 : Tue Jul 19 08:49:08 EDT 2022 % Result : Theorem 2.05s 1.14s % Output : Proof 2.96s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.04/0.10 % Problem : SEU356+1 : TPTP v8.1.0. Released v3.3.0. % 0.04/0.10 % Command : ePrincess-casc -timeout=%d %s % 0.10/0.29 % Computer : n032.cluster.edu % 0.10/0.29 % Model : x86_64 x86_64 % 0.10/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.10/0.29 % Memory : 8042.1875MB % 0.10/0.29 % OS : Linux 3.10.0-693.el7.x86_64 % 0.10/0.29 % CPULimit : 300 % 0.10/0.29 % WCLimit : 600 % 0.10/0.29 % DateTime : Sun Jun 19 00:32:02 EDT 2022 % 0.10/0.29 % CPUTime : % 0.14/0.49 ____ _ % 0.14/0.49 ___ / __ \_____(_)___ ________ __________ % 0.14/0.49 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/ % 0.14/0.49 / __/ ____/ / / / / / / /__/ __(__ |__ ) % 0.14/0.49 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/ % 0.14/0.49 % 0.14/0.49 A Theorem Prover for First-Order Logic % 0.14/0.49 (ePrincess v.1.0) % 0.14/0.49 % 0.14/0.49 (c) Philipp Rümmer, 2009-2015 % 0.14/0.49 (c) Peter Backeman, 2014-2015 % 0.14/0.49 (contributions by Angelo Brillout, Peter Baumgartner) % 0.14/0.49 Free software under GNU Lesser General Public License (LGPL). % 0.14/0.49 Bug reports to peter@backeman.se % 0.14/0.49 % 0.14/0.49 For more information, visit http://user.uu.se/~petba168/breu/ % 0.14/0.49 % 0.14/0.49 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ... % 0.14/0.54 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all % 1.17/0.78 Prover 0: Preprocessing ... % 1.52/0.92 Prover 0: Warning: ignoring some quantifiers % 1.52/0.94 Prover 0: Constructing countermodel ... % 2.05/1.14 Prover 0: proved (600ms) % 2.05/1.14 % 2.05/1.14 No countermodel exists, formula is valid % 2.05/1.14 % SZS status Theorem for theBenchmark % 2.05/1.14 % 2.05/1.14 Generating proof ... Warning: ignoring some quantifiers % 2.81/1.35 found it (size 25) % 2.81/1.35 % 2.81/1.35 % SZS output start Proof for theBenchmark % 2.81/1.35 Assumed formulas after preprocessing and simplification: % 2.81/1.35 | (0) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (the_carrier(v0) = v1 & antisymmetric_relstr(v0) & one_sorted_str(v4) & rel_str(v5) & rel_str(v0) & ! [v6] : ! [v7] : ! [v8] : ! [v9] : (v9 = v8 | ~ (the_carrier(v6) = v7) | ~ antisymmetric_relstr(v6) | ~ related(v6, v9, v8) | ~ related(v6, v8, v9) | ~ element(v9, v7) | ~ element(v8, v7) | ~ rel_str(v6)) & ! [v6] : ! [v7] : ! [v8] : ! [v9] : ( ~ (the_carrier(v6) = v7) | ~ relstr_set_smaller(v6, v8, v9) | ~ element(v9, v7) | ~ rel_str(v6) | ex_sup_of_relstr_set(v6, v8) | ? [v10] : (( ~ (v10 = v9) & relstr_set_smaller(v6, v8, v10) & element(v10, v7) & ! [v11] : ( ~ relstr_set_smaller(v6, v8, v11) | ~ element(v11, v7) | related(v6, v10, v11))) | (relstr_set_smaller(v6, v8, v10) & element(v10, v7) & ~ related(v6, v9, v10)))) & ! [v6] : ! [v7] : ! [v8] : (v7 = v6 | ~ (the_carrier(v8) = v7) | ~ (the_carrier(v8) = v6)) & ! [v6] : ! [v7] : ! [v8] : ( ~ (the_carrier(v6) = v7) | ~ ex_sup_of_relstr_set(v6, v8) | ~ rel_str(v6) | ? [v9] : (relstr_set_smaller(v6, v8, v9) & element(v9, v7) & ! [v10] : (v10 = v9 | ~ relstr_set_smaller(v6, v8, v10) | ~ element(v10, v7) | ? [v11] : (relstr_set_smaller(v6, v8, v11) & element(v11, v7) & ~ related(v6, v10, v11))) & ! [v10] : ( ~ relstr_set_smaller(v6, v8, v10) | ~ element(v10, v7) | related(v6, v9, v10)))) & ! [v6] : ( ~ rel_str(v6) | one_sorted_str(v6)) & ? [v6] : ? [v7] : element(v7, v6) & ((relstr_set_smaller(v0, v2, v3) & element(v3, v1) & ~ ex_sup_of_relstr_set(v0, v2) & ! [v6] : ( ~ relstr_set_smaller(v0, v2, v6) | ~ element(v6, v1) | related(v0, v3, v6))) | (ex_sup_of_relstr_set(v0, v2) & ! [v6] : ( ~ relstr_set_smaller(v0, v2, v6) | ~ element(v6, v1) | ? [v7] : (relstr_set_smaller(v0, v2, v7) & element(v7, v1) & ~ related(v0, v6, v7)))))) % 2.96/1.39 | Instantiating (0) with all_0_0_0, all_0_1_1, all_0_2_2, all_0_3_3, all_0_4_4, all_0_5_5 yields: % 2.96/1.39 | (1) the_carrier(all_0_5_5) = all_0_4_4 & antisymmetric_relstr(all_0_5_5) & one_sorted_str(all_0_1_1) & rel_str(all_0_0_0) & rel_str(all_0_5_5) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v2 | ~ (the_carrier(v0) = v1) | ~ antisymmetric_relstr(v0) | ~ related(v0, v3, v2) | ~ related(v0, v2, v3) | ~ element(v3, v1) | ~ element(v2, v1) | ~ rel_str(v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (the_carrier(v0) = v1) | ~ relstr_set_smaller(v0, v2, v3) | ~ element(v3, v1) | ~ rel_str(v0) | ex_sup_of_relstr_set(v0, v2) | ? [v4] : (( ~ (v4 = v3) & relstr_set_smaller(v0, v2, v4) & element(v4, v1) & ! [v5] : ( ~ relstr_set_smaller(v0, v2, v5) | ~ element(v5, v1) | related(v0, v4, v5))) | (relstr_set_smaller(v0, v2, v4) & element(v4, v1) & ~ related(v0, v3, v4)))) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (the_carrier(v2) = v1) | ~ (the_carrier(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (the_carrier(v0) = v1) | ~ ex_sup_of_relstr_set(v0, v2) | ~ rel_str(v0) | ? [v3] : (relstr_set_smaller(v0, v2, v3) & element(v3, v1) & ! [v4] : (v4 = v3 | ~ relstr_set_smaller(v0, v2, v4) | ~ element(v4, v1) | ? [v5] : (relstr_set_smaller(v0, v2, v5) & element(v5, v1) & ~ related(v0, v4, v5))) & ! [v4] : ( ~ relstr_set_smaller(v0, v2, v4) | ~ element(v4, v1) | related(v0, v3, v4)))) & ! [v0] : ( ~ rel_str(v0) | one_sorted_str(v0)) & ? [v0] : ? [v1] : element(v1, v0) & ((relstr_set_smaller(all_0_5_5, all_0_3_3, all_0_2_2) & element(all_0_2_2, all_0_4_4) & ~ ex_sup_of_relstr_set(all_0_5_5, all_0_3_3) & ! [v0] : ( ~ relstr_set_smaller(all_0_5_5, all_0_3_3, v0) | ~ element(v0, all_0_4_4) | related(all_0_5_5, all_0_2_2, v0))) | (ex_sup_of_relstr_set(all_0_5_5, all_0_3_3) & ! [v0] : ( ~ relstr_set_smaller(all_0_5_5, all_0_3_3, v0) | ~ element(v0, all_0_4_4) | ? [v1] : (relstr_set_smaller(all_0_5_5, all_0_3_3, v1) & element(v1, all_0_4_4) & ~ related(all_0_5_5, v0, v1))))) % 2.96/1.40 | % 2.96/1.40 | Applying alpha-rule on (1) yields: % 2.96/1.40 | (2) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (the_carrier(v2) = v1) | ~ (the_carrier(v2) = v0)) % 2.96/1.40 | (3) one_sorted_str(all_0_1_1) % 2.96/1.40 | (4) (relstr_set_smaller(all_0_5_5, all_0_3_3, all_0_2_2) & element(all_0_2_2, all_0_4_4) & ~ ex_sup_of_relstr_set(all_0_5_5, all_0_3_3) & ! [v0] : ( ~ relstr_set_smaller(all_0_5_5, all_0_3_3, v0) | ~ element(v0, all_0_4_4) | related(all_0_5_5, all_0_2_2, v0))) | (ex_sup_of_relstr_set(all_0_5_5, all_0_3_3) & ! [v0] : ( ~ relstr_set_smaller(all_0_5_5, all_0_3_3, v0) | ~ element(v0, all_0_4_4) | ? [v1] : (relstr_set_smaller(all_0_5_5, all_0_3_3, v1) & element(v1, all_0_4_4) & ~ related(all_0_5_5, v0, v1)))) % 2.96/1.40 | (5) ! [v0] : ( ~ rel_str(v0) | one_sorted_str(v0)) % 2.96/1.40 | (6) antisymmetric_relstr(all_0_5_5) % 2.96/1.40 | (7) rel_str(all_0_0_0) % 2.96/1.40 | (8) the_carrier(all_0_5_5) = all_0_4_4 % 2.96/1.40 | (9) rel_str(all_0_5_5) % 2.96/1.40 | (10) ? [v0] : ? [v1] : element(v1, v0) % 2.96/1.40 | (11) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v2 | ~ (the_carrier(v0) = v1) | ~ antisymmetric_relstr(v0) | ~ related(v0, v3, v2) | ~ related(v0, v2, v3) | ~ element(v3, v1) | ~ element(v2, v1) | ~ rel_str(v0)) % 2.96/1.40 | (12) ! [v0] : ! [v1] : ! [v2] : ( ~ (the_carrier(v0) = v1) | ~ ex_sup_of_relstr_set(v0, v2) | ~ rel_str(v0) | ? [v3] : (relstr_set_smaller(v0, v2, v3) & element(v3, v1) & ! [v4] : (v4 = v3 | ~ relstr_set_smaller(v0, v2, v4) | ~ element(v4, v1) | ? [v5] : (relstr_set_smaller(v0, v2, v5) & element(v5, v1) & ~ related(v0, v4, v5))) & ! [v4] : ( ~ relstr_set_smaller(v0, v2, v4) | ~ element(v4, v1) | related(v0, v3, v4)))) % 2.96/1.40 | (13) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (the_carrier(v0) = v1) | ~ relstr_set_smaller(v0, v2, v3) | ~ element(v3, v1) | ~ rel_str(v0) | ex_sup_of_relstr_set(v0, v2) | ? [v4] : (( ~ (v4 = v3) & relstr_set_smaller(v0, v2, v4) & element(v4, v1) & ! [v5] : ( ~ relstr_set_smaller(v0, v2, v5) | ~ element(v5, v1) | related(v0, v4, v5))) | (relstr_set_smaller(v0, v2, v4) & element(v4, v1) & ~ related(v0, v3, v4)))) % 2.96/1.40 | % 2.96/1.40 +-Applying beta-rule and splitting (4), into two cases. % 2.96/1.40 |-Branch one: % 2.96/1.40 | (14) relstr_set_smaller(all_0_5_5, all_0_3_3, all_0_2_2) & element(all_0_2_2, all_0_4_4) & ~ ex_sup_of_relstr_set(all_0_5_5, all_0_3_3) & ! [v0] : ( ~ relstr_set_smaller(all_0_5_5, all_0_3_3, v0) | ~ element(v0, all_0_4_4) | related(all_0_5_5, all_0_2_2, v0)) % 2.96/1.40 | % 2.96/1.40 | Applying alpha-rule on (14) yields: % 2.96/1.40 | (15) relstr_set_smaller(all_0_5_5, all_0_3_3, all_0_2_2) % 2.96/1.41 | (16) element(all_0_2_2, all_0_4_4) % 2.96/1.41 | (17) ~ ex_sup_of_relstr_set(all_0_5_5, all_0_3_3) % 2.96/1.41 | (18) ! [v0] : ( ~ relstr_set_smaller(all_0_5_5, all_0_3_3, v0) | ~ element(v0, all_0_4_4) | related(all_0_5_5, all_0_2_2, v0)) % 2.96/1.41 | % 2.96/1.41 | Instantiating formula (13) with all_0_2_2, all_0_3_3, all_0_4_4, all_0_5_5 and discharging atoms the_carrier(all_0_5_5) = all_0_4_4, relstr_set_smaller(all_0_5_5, all_0_3_3, all_0_2_2), element(all_0_2_2, all_0_4_4), rel_str(all_0_5_5), ~ ex_sup_of_relstr_set(all_0_5_5, all_0_3_3), yields: % 2.96/1.41 | (19) ? [v0] : (( ~ (v0 = all_0_2_2) & relstr_set_smaller(all_0_5_5, all_0_3_3, v0) & element(v0, all_0_4_4) & ! [v1] : ( ~ relstr_set_smaller(all_0_5_5, all_0_3_3, v1) | ~ element(v1, all_0_4_4) | related(all_0_5_5, v0, v1))) | (relstr_set_smaller(all_0_5_5, all_0_3_3, v0) & element(v0, all_0_4_4) & ~ related(all_0_5_5, all_0_2_2, v0))) % 2.96/1.41 | % 2.96/1.41 | Instantiating (19) with all_25_0_8 yields: % 2.96/1.41 | (20) ( ~ (all_25_0_8 = all_0_2_2) & relstr_set_smaller(all_0_5_5, all_0_3_3, all_25_0_8) & element(all_25_0_8, all_0_4_4) & ! [v0] : ( ~ relstr_set_smaller(all_0_5_5, all_0_3_3, v0) | ~ element(v0, all_0_4_4) | related(all_0_5_5, all_25_0_8, v0))) | (relstr_set_smaller(all_0_5_5, all_0_3_3, all_25_0_8) & element(all_25_0_8, all_0_4_4) & ~ related(all_0_5_5, all_0_2_2, all_25_0_8)) % 2.96/1.41 | % 2.96/1.41 +-Applying beta-rule and splitting (20), into two cases. % 2.96/1.41 |-Branch one: % 2.96/1.41 | (21) ~ (all_25_0_8 = all_0_2_2) & relstr_set_smaller(all_0_5_5, all_0_3_3, all_25_0_8) & element(all_25_0_8, all_0_4_4) & ! [v0] : ( ~ relstr_set_smaller(all_0_5_5, all_0_3_3, v0) | ~ element(v0, all_0_4_4) | related(all_0_5_5, all_25_0_8, v0)) % 2.96/1.41 | % 2.96/1.41 | Applying alpha-rule on (21) yields: % 2.96/1.41 | (22) ~ (all_25_0_8 = all_0_2_2) % 2.96/1.41 | (23) relstr_set_smaller(all_0_5_5, all_0_3_3, all_25_0_8) % 2.96/1.41 | (24) element(all_25_0_8, all_0_4_4) % 2.96/1.41 | (25) ! [v0] : ( ~ relstr_set_smaller(all_0_5_5, all_0_3_3, v0) | ~ element(v0, all_0_4_4) | related(all_0_5_5, all_25_0_8, v0)) % 2.96/1.41 | % 2.96/1.41 | Instantiating formula (25) with all_0_2_2 and discharging atoms relstr_set_smaller(all_0_5_5, all_0_3_3, all_0_2_2), element(all_0_2_2, all_0_4_4), yields: % 2.96/1.41 | (26) related(all_0_5_5, all_25_0_8, all_0_2_2) % 2.96/1.41 | % 2.96/1.41 | Instantiating formula (18) with all_25_0_8 and discharging atoms relstr_set_smaller(all_0_5_5, all_0_3_3, all_25_0_8), element(all_25_0_8, all_0_4_4), yields: % 2.96/1.41 | (27) related(all_0_5_5, all_0_2_2, all_25_0_8) % 2.96/1.41 | % 2.96/1.41 | Instantiating formula (11) with all_25_0_8, all_0_2_2, all_0_4_4, all_0_5_5 and discharging atoms the_carrier(all_0_5_5) = all_0_4_4, antisymmetric_relstr(all_0_5_5), related(all_0_5_5, all_25_0_8, all_0_2_2), related(all_0_5_5, all_0_2_2, all_25_0_8), element(all_25_0_8, all_0_4_4), element(all_0_2_2, all_0_4_4), rel_str(all_0_5_5), yields: % 2.96/1.41 | (28) all_25_0_8 = all_0_2_2 % 2.96/1.41 | % 2.96/1.41 | Equations (28) can reduce 22 to: % 2.96/1.41 | (29) $false % 2.96/1.41 | % 2.96/1.41 |-The branch is then unsatisfiable % 2.96/1.41 |-Branch two: % 2.96/1.41 | (30) relstr_set_smaller(all_0_5_5, all_0_3_3, all_25_0_8) & element(all_25_0_8, all_0_4_4) & ~ related(all_0_5_5, all_0_2_2, all_25_0_8) % 2.96/1.41 | % 2.96/1.41 | Applying alpha-rule on (30) yields: % 2.96/1.41 | (23) relstr_set_smaller(all_0_5_5, all_0_3_3, all_25_0_8) % 2.96/1.41 | (24) element(all_25_0_8, all_0_4_4) % 2.96/1.41 | (33) ~ related(all_0_5_5, all_0_2_2, all_25_0_8) % 2.96/1.41 | % 2.96/1.41 | Instantiating formula (18) with all_25_0_8 and discharging atoms relstr_set_smaller(all_0_5_5, all_0_3_3, all_25_0_8), element(all_25_0_8, all_0_4_4), ~ related(all_0_5_5, all_0_2_2, all_25_0_8), yields: % 2.96/1.41 | (34) $false % 2.96/1.41 | % 2.96/1.41 |-The branch is then unsatisfiable % 2.96/1.41 |-Branch two: % 2.96/1.41 | (35) ex_sup_of_relstr_set(all_0_5_5, all_0_3_3) & ! [v0] : ( ~ relstr_set_smaller(all_0_5_5, all_0_3_3, v0) | ~ element(v0, all_0_4_4) | ? [v1] : (relstr_set_smaller(all_0_5_5, all_0_3_3, v1) & element(v1, all_0_4_4) & ~ related(all_0_5_5, v0, v1))) % 2.96/1.42 | % 2.96/1.42 | Applying alpha-rule on (35) yields: % 2.96/1.42 | (36) ex_sup_of_relstr_set(all_0_5_5, all_0_3_3) % 2.96/1.42 | (37) ! [v0] : ( ~ relstr_set_smaller(all_0_5_5, all_0_3_3, v0) | ~ element(v0, all_0_4_4) | ? [v1] : (relstr_set_smaller(all_0_5_5, all_0_3_3, v1) & element(v1, all_0_4_4) & ~ related(all_0_5_5, v0, v1))) % 2.96/1.42 | % 2.96/1.42 | Instantiating formula (12) with all_0_3_3, all_0_4_4, all_0_5_5 and discharging atoms the_carrier(all_0_5_5) = all_0_4_4, ex_sup_of_relstr_set(all_0_5_5, all_0_3_3), rel_str(all_0_5_5), yields: % 2.96/1.42 | (38) ? [v0] : (relstr_set_smaller(all_0_5_5, all_0_3_3, v0) & element(v0, all_0_4_4) & ! [v1] : (v1 = v0 | ~ relstr_set_smaller(all_0_5_5, all_0_3_3, v1) | ~ element(v1, all_0_4_4) | ? [v2] : (relstr_set_smaller(all_0_5_5, all_0_3_3, v2) & element(v2, all_0_4_4) & ~ related(all_0_5_5, v1, v2))) & ! [v1] : ( ~ relstr_set_smaller(all_0_5_5, all_0_3_3, v1) | ~ element(v1, all_0_4_4) | related(all_0_5_5, v0, v1))) % 2.96/1.42 | % 2.96/1.42 | Instantiating (38) with all_24_0_10 yields: % 2.96/1.42 | (39) relstr_set_smaller(all_0_5_5, all_0_3_3, all_24_0_10) & element(all_24_0_10, all_0_4_4) & ! [v0] : (v0 = all_24_0_10 | ~ relstr_set_smaller(all_0_5_5, all_0_3_3, v0) | ~ element(v0, all_0_4_4) | ? [v1] : (relstr_set_smaller(all_0_5_5, all_0_3_3, v1) & element(v1, all_0_4_4) & ~ related(all_0_5_5, v0, v1))) & ! [v0] : ( ~ relstr_set_smaller(all_0_5_5, all_0_3_3, v0) | ~ element(v0, all_0_4_4) | related(all_0_5_5, all_24_0_10, v0)) % 2.96/1.42 | % 2.96/1.42 | Applying alpha-rule on (39) yields: % 2.96/1.42 | (40) relstr_set_smaller(all_0_5_5, all_0_3_3, all_24_0_10) % 2.96/1.42 | (41) element(all_24_0_10, all_0_4_4) % 2.96/1.42 | (42) ! [v0] : (v0 = all_24_0_10 | ~ relstr_set_smaller(all_0_5_5, all_0_3_3, v0) | ~ element(v0, all_0_4_4) | ? [v1] : (relstr_set_smaller(all_0_5_5, all_0_3_3, v1) & element(v1, all_0_4_4) & ~ related(all_0_5_5, v0, v1))) % 2.96/1.42 | (43) ! [v0] : ( ~ relstr_set_smaller(all_0_5_5, all_0_3_3, v0) | ~ element(v0, all_0_4_4) | related(all_0_5_5, all_24_0_10, v0)) % 2.96/1.42 | % 2.96/1.42 | Instantiating formula (37) with all_24_0_10 and discharging atoms relstr_set_smaller(all_0_5_5, all_0_3_3, all_24_0_10), element(all_24_0_10, all_0_4_4), yields: % 2.96/1.42 | (44) ? [v0] : (relstr_set_smaller(all_0_5_5, all_0_3_3, v0) & element(v0, all_0_4_4) & ~ related(all_0_5_5, all_24_0_10, v0)) % 2.96/1.42 | % 2.96/1.42 | Instantiating (44) with all_33_0_11 yields: % 2.96/1.42 | (45) relstr_set_smaller(all_0_5_5, all_0_3_3, all_33_0_11) & element(all_33_0_11, all_0_4_4) & ~ related(all_0_5_5, all_24_0_10, all_33_0_11) % 2.96/1.42 | % 2.96/1.42 | Applying alpha-rule on (45) yields: % 2.96/1.42 | (46) relstr_set_smaller(all_0_5_5, all_0_3_3, all_33_0_11) % 2.96/1.42 | (47) element(all_33_0_11, all_0_4_4) % 2.96/1.42 | (48) ~ related(all_0_5_5, all_24_0_10, all_33_0_11) % 2.96/1.42 | % 2.96/1.42 | Instantiating formula (43) with all_33_0_11 and discharging atoms relstr_set_smaller(all_0_5_5, all_0_3_3, all_33_0_11), element(all_33_0_11, all_0_4_4), ~ related(all_0_5_5, all_24_0_10, all_33_0_11), yields: % 2.96/1.42 | (34) $false % 2.96/1.42 | % 2.96/1.42 |-The branch is then unsatisfiable % 2.96/1.42 % SZS output end Proof for theBenchmark % 2.96/1.42 % 2.96/1.42 918ms %------------------------------------------------------------------------------