%------------------------------------------------------------------------------ % File : ePrincess---1.0 % Problem : GEO172+2 : TPTP v8.1.0. Released v3.3.0. % Transfm : none % Format : tptp:raw % Command : ePrincess-casc -timeout=%d %s % Computer : n015.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 03:48:08 EDT 2022 % Result : Theorem 2.75s 1.26s % Output : Proof 3.59s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.06/0.12 % Problem : GEO172+2 : TPTP v8.1.0. Released v3.3.0. % 0.06/0.12 % Command : ePrincess-casc -timeout=%d %s % 0.13/0.34 % Computer : n015.cluster.edu % 0.13/0.34 % Model : x86_64 x86_64 % 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.34 % Memory : 8042.1875MB % 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.34 % CPULimit : 300 % 0.13/0.34 % WCLimit : 600 % 0.13/0.34 % DateTime : Sat Jun 18 04:11:13 EDT 2022 % 0.13/0.34 % CPUTime : % 0.19/0.58 ____ _ % 0.19/0.58 ___ / __ \_____(_)___ ________ __________ % 0.19/0.58 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/ % 0.19/0.58 / __/ ____/ / / / / / / /__/ __(__ |__ ) % 0.19/0.58 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/ % 0.19/0.58 % 0.19/0.58 A Theorem Prover for First-Order Logic % 0.19/0.58 (ePrincess v.1.0) % 0.19/0.58 % 0.19/0.58 (c) Philipp Rümmer, 2009-2015 % 0.19/0.58 (c) Peter Backeman, 2014-2015 % 0.19/0.59 (contributions by Angelo Brillout, Peter Baumgartner) % 0.19/0.59 Free software under GNU Lesser General Public License (LGPL). % 0.19/0.59 Bug reports to peter@backeman.se % 0.19/0.59 % 0.19/0.59 For more information, visit http://user.uu.se/~petba168/breu/ % 0.19/0.59 % 0.19/0.59 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ... % 0.66/0.63 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all % 1.63/0.90 Prover 0: Preprocessing ... % 1.97/1.03 Prover 0: Warning: ignoring some quantifiers % 1.97/1.05 Prover 0: Constructing countermodel ... % 2.75/1.26 Prover 0: proved (630ms) % 2.75/1.26 % 2.75/1.26 No countermodel exists, formula is valid % 2.75/1.26 % SZS status Theorem for theBenchmark % 2.75/1.26 % 2.75/1.26 Generating proof ... Warning: ignoring some quantifiers % 3.22/1.45 found it (size 11) % 3.22/1.45 % 3.22/1.45 % SZS output start Proof for theBenchmark % 3.22/1.45 Assumed formulas after preprocessing and simplification: % 3.22/1.45 | (0) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (intersection_point(v0, v1) = v3 & convergent_lines(v0, v1) & distinct_points(v2, v3) & ~ apart_point_and_line(v2, v1) & ~ apart_point_and_line(v2, v0) & ! [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)) % 3.48/1.49 | Instantiating (0) with all_0_0_0, all_0_1_1, all_0_2_2, all_0_3_3 yields: % 3.48/1.49 | (1) intersection_point(all_0_3_3, all_0_2_2) = all_0_0_0 & convergent_lines(all_0_3_3, all_0_2_2) & distinct_points(all_0_1_1, all_0_0_0) & ~ apart_point_and_line(all_0_1_1, all_0_2_2) & ~ apart_point_and_line(all_0_1_1, all_0_3_3) & ! [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) % 3.59/1.50 | % 3.59/1.50 | Applying alpha-rule on (1) yields: % 3.59/1.50 | (2) ~ apart_point_and_line(all_0_1_1, all_0_2_2) % 3.59/1.50 | (3) ? [v0] : ! [v1] : ! [v2] : ( ~ distinct_points(v1, v2) | distinct_points(v2, v0) | distinct_points(v1, v0)) % 3.59/1.50 | (4) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (intersection_point(v0, v1) = v3) | ~ apart_point_and_line(v2, v0) | ~ convergent_lines(v0, v1) | distinct_points(v2, v3)) % 3.59/1.51 | (5) ? [v0] : ! [v1] : ! [v2] : ( ~ apart_point_and_line(v1, v2) | apart_point_and_line(v1, v0) | distinct_lines(v2, v0)) % 3.59/1.51 | (6) ? [v0] : ! [v1] : ! [v2] : ( ~ distinct_lines(v1, v2) | distinct_lines(v2, v0) | distinct_lines(v1, v0)) % 3.59/1.51 | (7) distinct_points(all_0_1_1, all_0_0_0) % 3.59/1.51 | (8) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (line_connecting(v0, v1) = v3) | ~ apart_point_and_line(v2, v3) | ~ distinct_points(v0, v1) | distinct_points(v2, v0)) % 3.59/1.51 | (9) ! [v0] : ~ distinct_lines(v0, v0) % 3.59/1.51 | (10) convergent_lines(all_0_3_3, all_0_2_2) % 3.59/1.51 | (11) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (intersection_point(v3, v2) = v1) | ~ (intersection_point(v3, v2) = v0)) % 3.59/1.51 | (12) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (line_connecting(v0, v1) = v3) | ~ apart_point_and_line(v2, v3) | ~ distinct_points(v0, v1) | distinct_points(v2, v1)) % 3.59/1.51 | (13) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (line_connecting(v3, v2) = v1) | ~ (line_connecting(v3, v2) = v0)) % 3.59/1.51 | (14) ? [v0] : ! [v1] : ! [v2] : ( ~ convergent_lines(v1, v2) | convergent_lines(v2, v0) | convergent_lines(v1, v0)) % 3.59/1.51 | (15) ~ apart_point_and_line(all_0_1_1, all_0_3_3) % 3.59/1.51 | (16) ! [v0] : ~ distinct_points(v0, v0) % 3.59/1.51 | (17) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (intersection_point(v0, v1) = v3) | ~ apart_point_and_line(v2, v1) | ~ convergent_lines(v0, v1) | distinct_points(v2, v3)) % 3.59/1.51 | (18) ! [v0] : ~ convergent_lines(v0, v0) % 3.59/1.51 | (19) ! [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)) % 3.59/1.51 | (20) intersection_point(all_0_3_3, all_0_2_2) = all_0_0_0 % 3.59/1.51 | (21) ? [v0] : ! [v1] : ! [v2] : ( ~ apart_point_and_line(v1, v2) | apart_point_and_line(v0, v2) | distinct_points(v1, v0)) % 3.59/1.51 | (22) ! [v0] : ! [v1] : ( ~ convergent_lines(v0, v1) | distinct_lines(v0, v1)) % 3.59/1.51 | % 3.59/1.51 | Instantiating formula (22) with all_0_2_2, all_0_3_3 and discharging atoms convergent_lines(all_0_3_3, all_0_2_2), yields: % 3.59/1.51 | (23) distinct_lines(all_0_3_3, all_0_2_2) % 3.59/1.51 | % 3.59/1.51 | Instantiating formula (19) with all_0_2_2, all_0_3_3, all_0_0_0, all_0_1_1 and discharging atoms distinct_lines(all_0_3_3, all_0_2_2), distinct_points(all_0_1_1, all_0_0_0), ~ apart_point_and_line(all_0_1_1, all_0_2_2), ~ apart_point_and_line(all_0_1_1, all_0_3_3), yields: % 3.59/1.51 | (24) apart_point_and_line(all_0_0_0, all_0_2_2) | apart_point_and_line(all_0_0_0, all_0_3_3) % 3.59/1.51 | % 3.59/1.51 +-Applying beta-rule and splitting (24), into two cases. % 3.59/1.51 |-Branch one: % 3.59/1.51 | (25) apart_point_and_line(all_0_0_0, all_0_2_2) % 3.59/1.51 | % 3.59/1.51 | Instantiating formula (17) with all_0_0_0, all_0_0_0, all_0_2_2, all_0_3_3 and discharging atoms intersection_point(all_0_3_3, all_0_2_2) = all_0_0_0, apart_point_and_line(all_0_0_0, all_0_2_2), convergent_lines(all_0_3_3, all_0_2_2), yields: % 3.59/1.51 | (26) distinct_points(all_0_0_0, all_0_0_0) % 3.59/1.51 | % 3.59/1.51 | Instantiating formula (16) with all_0_0_0 and discharging atoms distinct_points(all_0_0_0, all_0_0_0), yields: % 3.59/1.51 | (27) $false % 3.59/1.51 | % 3.59/1.51 |-The branch is then unsatisfiable % 3.59/1.51 |-Branch two: % 3.59/1.51 | (28) ~ apart_point_and_line(all_0_0_0, all_0_2_2) % 3.59/1.52 | (29) apart_point_and_line(all_0_0_0, all_0_3_3) % 3.59/1.52 | % 3.59/1.52 | Instantiating formula (4) with all_0_0_0, all_0_0_0, all_0_2_2, all_0_3_3 and discharging atoms intersection_point(all_0_3_3, all_0_2_2) = all_0_0_0, apart_point_and_line(all_0_0_0, all_0_3_3), convergent_lines(all_0_3_3, all_0_2_2), yields: % 3.59/1.52 | (26) distinct_points(all_0_0_0, all_0_0_0) % 3.59/1.52 | % 3.59/1.52 | Instantiating formula (16) with all_0_0_0 and discharging atoms distinct_points(all_0_0_0, all_0_0_0), yields: % 3.59/1.52 | (27) $false % 3.59/1.52 | % 3.59/1.52 |-The branch is then unsatisfiable % 3.59/1.52 % SZS output end Proof for theBenchmark % 3.59/1.52 % 3.59/1.52 921ms %------------------------------------------------------------------------------