%------------------------------------------------------------------------------ % File : ePrincess---1.0 % Problem : GEO178+2 : TPTP v8.1.0. Released v3.3.0. % Transfm : none % Format : tptp:raw % Command : ePrincess-casc -timeout=%d %s % Computer : n019.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 : Sat Jul 16 03:48:15 EDT 2022 % Result : Theorem 2.09s 1.14s % Output : Proof 3.10s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.12 % Problem : GEO178+2 : TPTP v8.1.0. Released v3.3.0. % 0.11/0.12 % Command : ePrincess-casc -timeout=%d %s % 0.12/0.34 % Computer : n019.cluster.edu % 0.12/0.34 % Model : x86_64 x86_64 % 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.34 % Memory : 8042.1875MB % 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.34 % CPULimit : 300 % 0.12/0.34 % WCLimit : 600 % 0.12/0.34 % DateTime : Sat Jun 18 10:33:39 EDT 2022 % 0.12/0.34 % CPUTime : % 0.56/0.59 ____ _ % 0.56/0.59 ___ / __ \_____(_)___ ________ __________ % 0.56/0.59 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/ % 0.56/0.59 / __/ ____/ / / / / / / /__/ __(__ |__ ) % 0.56/0.59 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/ % 0.56/0.59 % 0.56/0.59 A Theorem Prover for First-Order Logic % 0.56/0.59 (ePrincess v.1.0) % 0.56/0.59 % 0.56/0.59 (c) Philipp Rümmer, 2009-2015 % 0.56/0.59 (c) Peter Backeman, 2014-2015 % 0.56/0.59 (contributions by Angelo Brillout, Peter Baumgartner) % 0.56/0.59 Free software under GNU Lesser General Public License (LGPL). % 0.56/0.59 Bug reports to peter@backeman.se % 0.56/0.59 % 0.56/0.59 For more information, visit http://user.uu.se/~petba168/breu/ % 0.56/0.59 % 0.56/0.59 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ... % 0.72/0.64 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all % 1.67/0.91 Prover 0: Preprocessing ... % 1.90/1.04 Prover 0: Warning: ignoring some quantifiers % 1.90/1.05 Prover 0: Constructing countermodel ... % 2.09/1.14 Prover 0: proved (501ms) % 2.09/1.14 % 2.09/1.14 No countermodel exists, formula is valid % 2.09/1.14 % SZS status Theorem for theBenchmark % 2.09/1.14 % 2.09/1.14 Generating proof ... Warning: ignoring some quantifiers % 2.90/1.32 found it (size 9) % 2.90/1.32 % 2.90/1.32 % SZS output start Proof for theBenchmark % 2.90/1.32 Assumed formulas after preprocessing and simplification: % 2.90/1.32 | (0) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (line_connecting(v0, v1) = v3 & apart_point_and_line(v2, v3) & distinct_points(v0, v1) & ! [v4] : ! [v5] : ! [v6] : ! [v7] : (v5 = v4 | ~ (intersection_point(v7, v6) = v5) | ~ (intersection_point(v7, v6) = v4)) & ! [v4] : ! [v5] : ! [v6] : ! [v7] : (v5 = v4 | ~ (line_connecting(v7, v6) = v5) | ~ (line_connecting(v7, v6) = v4)) & ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (intersection_point(v4, v5) = v7) | ~ apart_point_and_line(v6, v5) | ~ convergent_lines(v4, v5) | distinct_points(v6, v7)) & ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (intersection_point(v4, v5) = v7) | ~ apart_point_and_line(v6, v4) | ~ convergent_lines(v4, v5) | distinct_points(v6, v7)) & ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (line_connecting(v4, v5) = v7) | ~ apart_point_and_line(v6, v7) | ~ distinct_points(v4, v5) | distinct_points(v6, v5)) & ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (line_connecting(v4, v5) = v7) | ~ apart_point_and_line(v6, v7) | ~ distinct_points(v4, v5) | distinct_points(v6, v4)) & ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ distinct_lines(v6, v7) | ~ distinct_points(v4, v5) | apart_point_and_line(v5, v7) | apart_point_and_line(v5, v6) | apart_point_and_line(v4, v7) | apart_point_and_line(v4, v6)) & ? [v4] : ! [v5] : ! [v6] : ( ~ apart_point_and_line(v5, v6) | apart_point_and_line(v5, v4) | distinct_lines(v6, v4)) & ? [v4] : ! [v5] : ! [v6] : ( ~ apart_point_and_line(v5, v6) | apart_point_and_line(v4, v6) | distinct_points(v5, v4)) & ? [v4] : ! [v5] : ! [v6] : ( ~ convergent_lines(v5, v6) | convergent_lines(v6, v4) | convergent_lines(v5, v4)) & ? [v4] : ! [v5] : ! [v6] : ( ~ distinct_lines(v5, v6) | distinct_lines(v6, v4) | distinct_lines(v5, v4)) & ? [v4] : ! [v5] : ! [v6] : ( ~ distinct_points(v5, v6) | distinct_points(v6, v4) | distinct_points(v5, v4)) & ! [v4] : ! [v5] : ( ~ convergent_lines(v4, v5) | distinct_lines(v4, v5)) & ! [v4] : ~ convergent_lines(v4, v4) & ! [v4] : ~ distinct_lines(v4, v4) & ! [v4] : ~ distinct_points(v4, v4) & ( ~ distinct_points(v2, v1) | ~ distinct_points(v2, v0))) % 2.90/1.37 | Instantiating (0) with all_0_0_0, all_0_1_1, all_0_2_2, all_0_3_3 yields: % 2.90/1.37 | (1) line_connecting(all_0_3_3, all_0_2_2) = all_0_0_0 & apart_point_and_line(all_0_1_1, all_0_0_0) & distinct_points(all_0_3_3, all_0_2_2) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (intersection_point(v3, v2) = v1) | ~ (intersection_point(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (line_connecting(v3, v2) = v1) | ~ (line_connecting(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (intersection_point(v0, v1) = v3) | ~ apart_point_and_line(v2, v1) | ~ convergent_lines(v0, v1) | distinct_points(v2, v3)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (intersection_point(v0, v1) = v3) | ~ apart_point_and_line(v2, v0) | ~ convergent_lines(v0, v1) | distinct_points(v2, v3)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (line_connecting(v0, v1) = v3) | ~ apart_point_and_line(v2, v3) | ~ distinct_points(v0, v1) | distinct_points(v2, v1)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (line_connecting(v0, v1) = v3) | ~ apart_point_and_line(v2, v3) | ~ distinct_points(v0, v1) | distinct_points(v2, v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ distinct_lines(v2, v3) | ~ distinct_points(v0, v1) | apart_point_and_line(v1, v3) | apart_point_and_line(v1, v2) | apart_point_and_line(v0, v3) | apart_point_and_line(v0, v2)) & ? [v0] : ! [v1] : ! [v2] : ( ~ apart_point_and_line(v1, v2) | apart_point_and_line(v1, v0) | distinct_lines(v2, v0)) & ? [v0] : ! [v1] : ! [v2] : ( ~ apart_point_and_line(v1, v2) | apart_point_and_line(v0, v2) | distinct_points(v1, v0)) & ? [v0] : ! [v1] : ! [v2] : ( ~ convergent_lines(v1, v2) | convergent_lines(v2, v0) | convergent_lines(v1, v0)) & ? [v0] : ! [v1] : ! [v2] : ( ~ distinct_lines(v1, v2) | distinct_lines(v2, v0) | distinct_lines(v1, v0)) & ? [v0] : ! [v1] : ! [v2] : ( ~ distinct_points(v1, v2) | distinct_points(v2, v0) | distinct_points(v1, v0)) & ! [v0] : ! [v1] : ( ~ convergent_lines(v0, v1) | distinct_lines(v0, v1)) & ! [v0] : ~ convergent_lines(v0, v0) & ! [v0] : ~ distinct_lines(v0, v0) & ! [v0] : ~ distinct_points(v0, v0) & ( ~ distinct_points(all_0_1_1, all_0_2_2) | ~ distinct_points(all_0_1_1, all_0_3_3)) % 2.90/1.37 | % 2.90/1.37 | Applying alpha-rule on (1) yields: % 2.90/1.37 | (2) ? [v0] : ! [v1] : ! [v2] : ( ~ distinct_points(v1, v2) | distinct_points(v2, v0) | distinct_points(v1, v0)) % 2.90/1.38 | (3) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (intersection_point(v0, v1) = v3) | ~ apart_point_and_line(v2, v0) | ~ convergent_lines(v0, v1) | distinct_points(v2, v3)) % 2.90/1.38 | (4) ? [v0] : ! [v1] : ! [v2] : ( ~ apart_point_and_line(v1, v2) | apart_point_and_line(v1, v0) | distinct_lines(v2, v0)) % 2.90/1.38 | (5) ? [v0] : ! [v1] : ! [v2] : ( ~ distinct_lines(v1, v2) | distinct_lines(v2, v0) | distinct_lines(v1, v0)) % 2.90/1.38 | (6) distinct_points(all_0_3_3, all_0_2_2) % 2.90/1.38 | (7) apart_point_and_line(all_0_1_1, all_0_0_0) % 2.90/1.38 | (8) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (line_connecting(v0, v1) = v3) | ~ apart_point_and_line(v2, v3) | ~ distinct_points(v0, v1) | distinct_points(v2, v0)) % 2.90/1.38 | (9) line_connecting(all_0_3_3, all_0_2_2) = all_0_0_0 % 2.90/1.38 | (10) ! [v0] : ~ distinct_lines(v0, v0) % 2.90/1.38 | (11) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (intersection_point(v3, v2) = v1) | ~ (intersection_point(v3, v2) = v0)) % 2.90/1.38 | (12) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (line_connecting(v0, v1) = v3) | ~ apart_point_and_line(v2, v3) | ~ distinct_points(v0, v1) | distinct_points(v2, v1)) % 2.90/1.38 | (13) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (line_connecting(v3, v2) = v1) | ~ (line_connecting(v3, v2) = v0)) % 2.90/1.38 | (14) ? [v0] : ! [v1] : ! [v2] : ( ~ convergent_lines(v1, v2) | convergent_lines(v2, v0) | convergent_lines(v1, v0)) % 2.90/1.38 | (15) ! [v0] : ~ distinct_points(v0, v0) % 2.90/1.38 | (16) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (intersection_point(v0, v1) = v3) | ~ apart_point_and_line(v2, v1) | ~ convergent_lines(v0, v1) | distinct_points(v2, v3)) % 2.90/1.38 | (17) ! [v0] : ~ convergent_lines(v0, v0) % 2.90/1.38 | (18) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ distinct_lines(v2, v3) | ~ distinct_points(v0, v1) | apart_point_and_line(v1, v3) | apart_point_and_line(v1, v2) | apart_point_and_line(v0, v3) | apart_point_and_line(v0, v2)) % 2.90/1.38 | (19) ? [v0] : ! [v1] : ! [v2] : ( ~ apart_point_and_line(v1, v2) | apart_point_and_line(v0, v2) | distinct_points(v1, v0)) % 2.90/1.38 | (20) ! [v0] : ! [v1] : ( ~ convergent_lines(v0, v1) | distinct_lines(v0, v1)) % 2.90/1.38 | (21) ~ distinct_points(all_0_1_1, all_0_2_2) | ~ distinct_points(all_0_1_1, all_0_3_3) % 3.10/1.38 | % 3.10/1.38 | Instantiating formula (12) with all_0_0_0, all_0_1_1, all_0_2_2, all_0_3_3 and discharging atoms line_connecting(all_0_3_3, all_0_2_2) = all_0_0_0, apart_point_and_line(all_0_1_1, all_0_0_0), distinct_points(all_0_3_3, all_0_2_2), yields: % 3.10/1.38 | (22) distinct_points(all_0_1_1, all_0_2_2) % 3.10/1.38 | % 3.10/1.38 | Instantiating formula (8) with all_0_0_0, all_0_1_1, all_0_2_2, all_0_3_3 and discharging atoms line_connecting(all_0_3_3, all_0_2_2) = all_0_0_0, apart_point_and_line(all_0_1_1, all_0_0_0), distinct_points(all_0_3_3, all_0_2_2), yields: % 3.10/1.38 | (23) distinct_points(all_0_1_1, all_0_3_3) % 3.10/1.38 | % 3.10/1.38 +-Applying beta-rule and splitting (21), into two cases. % 3.10/1.38 |-Branch one: % 3.10/1.38 | (24) ~ distinct_points(all_0_1_1, all_0_2_2) % 3.10/1.38 | % 3.10/1.39 | Using (22) and (24) yields: % 3.10/1.39 | (25) $false % 3.10/1.39 | % 3.10/1.39 |-The branch is then unsatisfiable % 3.10/1.39 |-Branch two: % 3.10/1.39 | (22) distinct_points(all_0_1_1, all_0_2_2) % 3.10/1.39 | (27) ~ distinct_points(all_0_1_1, all_0_3_3) % 3.10/1.39 | % 3.10/1.39 | Using (23) and (27) yields: % 3.10/1.39 | (25) $false % 3.10/1.39 | % 3.10/1.39 |-The branch is then unsatisfiable % 3.10/1.39 % SZS output end Proof for theBenchmark % 3.10/1.39 % 3.10/1.39 785ms %------------------------------------------------------------------------------