%------------------------------------------------------------------------------ % File : ePrincess---1.0 % Problem : GEO207+2 : TPTP v8.1.0. Released v3.3.0. % Transfm : none % Format : tptp:raw % Command : ePrincess-casc -timeout=%d %s % Computer : n028.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 03:48:43 EDT 2022 % Result : Theorem 2.25s 1.22s % Output : Proof 3.07s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.13/0.14 % Problem : GEO207+2 : TPTP v8.1.0. Released v3.3.0. % 0.13/0.15 % Command : ePrincess-casc -timeout=%d %s % 0.15/0.37 % Computer : n028.cluster.edu % 0.15/0.37 % Model : x86_64 x86_64 % 0.15/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.37 % Memory : 8042.1875MB % 0.15/0.37 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.37 % CPULimit : 300 % 0.15/0.37 % WCLimit : 600 % 0.15/0.37 % DateTime : Sat Jun 18 00:47:58 EDT 2022 % 0.15/0.37 % CPUTime : % 0.53/0.63 ____ _ % 0.53/0.63 ___ / __ \_____(_)___ ________ __________ % 0.53/0.63 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/ % 0.53/0.63 / __/ ____/ / / / / / / /__/ __(__ |__ ) % 0.53/0.63 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/ % 0.53/0.63 % 0.53/0.63 A Theorem Prover for First-Order Logic % 0.53/0.63 (ePrincess v.1.0) % 0.53/0.63 % 0.53/0.63 (c) Philipp Rümmer, 2009-2015 % 0.53/0.63 (c) Peter Backeman, 2014-2015 % 0.53/0.63 (contributions by Angelo Brillout, Peter Baumgartner) % 0.53/0.63 Free software under GNU Lesser General Public License (LGPL). % 0.53/0.63 Bug reports to peter@backeman.se % 0.53/0.63 % 0.53/0.63 For more information, visit http://user.uu.se/~petba168/breu/ % 0.53/0.63 % 0.53/0.63 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ... % 0.70/0.68 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all % 1.66/0.99 Prover 0: Preprocessing ... % 1.94/1.13 Prover 0: Warning: ignoring some quantifiers % 1.94/1.16 Prover 0: Constructing countermodel ... % 2.25/1.22 Prover 0: proved (541ms) % 2.25/1.22 % 2.25/1.22 No countermodel exists, formula is valid % 2.25/1.22 % SZS status Theorem for theBenchmark % 2.25/1.22 % 2.25/1.22 Generating proof ... Warning: ignoring some quantifiers % 2.74/1.39 found it (size 4) % 2.74/1.39 % 2.74/1.39 % SZS output start Proof for theBenchmark % 2.74/1.39 Assumed formulas after preprocessing and simplification: % 2.74/1.39 | (0) ? [v0] : (convergent_lines(v0, v0) & ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v2 = v1 | ~ (parallel_through_point(v4, v3) = v2) | ~ (parallel_through_point(v4, v3) = v1)) & ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v2 = v1 | ~ (intersection_point(v4, v3) = v2) | ~ (intersection_point(v4, v3) = v1)) & ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v2 = v1 | ~ (line_connecting(v4, v3) = v2) | ~ (line_connecting(v4, v3) = v1)) & ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (intersection_point(v1, v2) = v4) | ~ apart_point_and_line(v3, v2) | ~ convergent_lines(v1, v2) | distinct_points(v3, v4)) & ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (intersection_point(v1, v2) = v4) | ~ apart_point_and_line(v3, v1) | ~ convergent_lines(v1, v2) | distinct_points(v3, v4)) & ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (line_connecting(v1, v2) = v4) | ~ apart_point_and_line(v3, v4) | ~ distinct_points(v1, v2) | distinct_points(v3, v2)) & ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (line_connecting(v1, v2) = v4) | ~ apart_point_and_line(v3, v4) | ~ distinct_points(v1, v2) | distinct_points(v3, v1)) & ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ distinct_lines(v3, v4) | ~ distinct_points(v1, v2) | apart_point_and_line(v2, v4) | apart_point_and_line(v2, v3) | apart_point_and_line(v1, v4) | apart_point_and_line(v1, v3)) & ! [v1] : ! [v2] : ! [v3] : ( ~ (parallel_through_point(v2, v1) = v3) | ~ apart_point_and_line(v1, v3)) & ! [v1] : ! [v2] : ! [v3] : ( ~ (parallel_through_point(v2, v1) = v3) | ~ convergent_lines(v3, v2)) & ? [v1] : ! [v2] : ! [v3] : ( ~ apart_point_and_line(v2, v3) | apart_point_and_line(v2, v1) | distinct_lines(v3, v1)) & ? [v1] : ! [v2] : ! [v3] : ( ~ apart_point_and_line(v2, v3) | apart_point_and_line(v1, v3) | distinct_points(v2, v1)) & ? [v1] : ! [v2] : ! [v3] : ( ~ convergent_lines(v2, v3) | convergent_lines(v3, v1) | convergent_lines(v2, v1)) & ? [v1] : ! [v2] : ! [v3] : ( ~ distinct_lines(v2, v3) | apart_point_and_line(v1, v3) | apart_point_and_line(v1, v2) | convergent_lines(v2, v3)) & ? [v1] : ! [v2] : ! [v3] : ( ~ distinct_lines(v2, v3) | distinct_lines(v3, v1) | distinct_lines(v2, v1)) & ? [v1] : ! [v2] : ! [v3] : ( ~ distinct_points(v2, v3) | distinct_points(v3, v1) | distinct_points(v2, v1)) & ! [v1] : ! [v2] : ( ~ convergent_lines(v1, v2) | distinct_lines(v1, v2)) & ! [v1] : ~ convergent_lines(v1, v1) & ! [v1] : ~ distinct_lines(v1, v1) & ! [v1] : ~ distinct_points(v1, v1)) % 2.89/1.45 | Instantiating (0) with all_0_0_0 yields: % 2.89/1.45 | (1) convergent_lines(all_0_0_0, all_0_0_0) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (parallel_through_point(v3, v2) = v1) | ~ (parallel_through_point(v3, v2) = v0)) & ! [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] : ( ~ (parallel_through_point(v1, v0) = v2) | ~ apart_point_and_line(v0, v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (parallel_through_point(v1, v0) = v2) | ~ convergent_lines(v2, v1)) & ? [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) | apart_point_and_line(v0, v2) | apart_point_and_line(v0, v1) | convergent_lines(v1, v2)) & ? [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) % 2.89/1.45 | % 2.89/1.45 | Applying alpha-rule on (1) yields: % 2.89/1.45 | (2) ! [v0] : ~ distinct_points(v0, v0) % 2.89/1.46 | (3) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (intersection_point(v0, v1) = v3) | ~ apart_point_and_line(v2, v0) | ~ convergent_lines(v0, v1) | distinct_points(v2, v3)) % 2.89/1.46 | (4) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (parallel_through_point(v3, v2) = v1) | ~ (parallel_through_point(v3, v2) = v0)) % 2.89/1.46 | (5) ? [v0] : ! [v1] : ! [v2] : ( ~ distinct_points(v1, v2) | distinct_points(v2, v0) | distinct_points(v1, v0)) % 2.89/1.46 | (6) ! [v0] : ! [v1] : ! [v2] : ( ~ (parallel_through_point(v1, v0) = v2) | ~ convergent_lines(v2, v1)) % 3.06/1.46 | (7) ! [v0] : ~ distinct_lines(v0, v0) % 3.06/1.46 | (8) ! [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)) % 3.06/1.46 | (9) ? [v0] : ! [v1] : ! [v2] : ( ~ convergent_lines(v1, v2) | convergent_lines(v2, v0) | convergent_lines(v1, v0)) % 3.06/1.46 | (10) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (line_connecting(v0, v1) = v3) | ~ apart_point_and_line(v2, v3) | ~ distinct_points(v0, v1) | distinct_points(v2, v0)) % 3.06/1.46 | (11) ! [v0] : ! [v1] : ! [v2] : ( ~ (parallel_through_point(v1, v0) = v2) | ~ apart_point_and_line(v0, v2)) % 3.06/1.46 | (12) ? [v0] : ! [v1] : ! [v2] : ( ~ apart_point_and_line(v1, v2) | apart_point_and_line(v1, v0) | distinct_lines(v2, v0)) % 3.06/1.46 | (13) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (intersection_point(v3, v2) = v1) | ~ (intersection_point(v3, v2) = v0)) % 3.06/1.46 | (14) convergent_lines(all_0_0_0, all_0_0_0) % 3.06/1.46 | (15) ! [v0] : ! [v1] : ( ~ convergent_lines(v0, v1) | distinct_lines(v0, v1)) % 3.06/1.46 | (16) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (line_connecting(v3, v2) = v1) | ~ (line_connecting(v3, v2) = v0)) % 3.06/1.46 | (17) ! [v0] : ~ convergent_lines(v0, v0) % 3.06/1.46 | (18) ? [v0] : ! [v1] : ! [v2] : ( ~ apart_point_and_line(v1, v2) | apart_point_and_line(v0, v2) | distinct_points(v1, v0)) % 3.07/1.46 | (19) ? [v0] : ! [v1] : ! [v2] : ( ~ distinct_lines(v1, v2) | apart_point_and_line(v0, v2) | apart_point_and_line(v0, v1) | convergent_lines(v1, v2)) % 3.07/1.46 | (20) ? [v0] : ! [v1] : ! [v2] : ( ~ distinct_lines(v1, v2) | distinct_lines(v2, v0) | distinct_lines(v1, v0)) % 3.07/1.46 | (21) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (line_connecting(v0, v1) = v3) | ~ apart_point_and_line(v2, v3) | ~ distinct_points(v0, v1) | distinct_points(v2, v1)) % 3.07/1.46 | (22) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (intersection_point(v0, v1) = v3) | ~ apart_point_and_line(v2, v1) | ~ convergent_lines(v0, v1) | distinct_points(v2, v3)) % 3.07/1.46 | % 3.07/1.46 | Instantiating formula (17) with all_0_0_0 and discharging atoms convergent_lines(all_0_0_0, all_0_0_0), yields: % 3.07/1.46 | (23) $false % 3.07/1.46 | % 3.07/1.46 |-The branch is then unsatisfiable % 3.07/1.46 % SZS output end Proof for theBenchmark % 3.07/1.46 % 3.07/1.46 826ms %------------------------------------------------------------------------------