%------------------------------------------------------------------------------ % File : ePrincess---1.0 % Problem : KRS076+1 : TPTP v8.1.0. Released v3.1.0. % Transfm : none % Format : tptp:raw % Command : ePrincess-casc -timeout=%d %s % Computer : n017.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 : Sun Jul 17 02:56:29 EDT 2022 % Result : Unsatisfiable 2.26s 1.29s % Output : Proof 2.83s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.06/0.12 % Problem : KRS076+1 : TPTP v8.1.0. Released v3.1.0. % 0.06/0.12 % Command : ePrincess-casc -timeout=%d %s % 0.12/0.33 % Computer : n017.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 : Tue Jun 7 12:50:47 EDT 2022 % 0.12/0.34 % CPUTime : % 0.61/0.64 ____ _ % 0.61/0.64 ___ / __ \_____(_)___ ________ __________ % 0.61/0.64 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/ % 0.61/0.64 / __/ ____/ / / / / / / /__/ __(__ |__ ) % 0.61/0.64 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/ % 0.61/0.64 % 0.61/0.64 A Theorem Prover for First-Order Logic % 0.61/0.64 (ePrincess v.1.0) % 0.61/0.64 % 0.61/0.64 (c) Philipp Rümmer, 2009-2015 % 0.61/0.64 (c) Peter Backeman, 2014-2015 % 0.61/0.64 (contributions by Angelo Brillout, Peter Baumgartner) % 0.61/0.64 Free software under GNU Lesser General Public License (LGPL). % 0.61/0.64 Bug reports to peter@backeman.se % 0.61/0.64 % 0.61/0.64 For more information, visit http://user.uu.se/~petba168/breu/ % 0.61/0.64 % 0.61/0.64 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ... % 0.76/0.71 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all % 1.37/0.98 Prover 0: Preprocessing ... % 1.76/1.11 Prover 0: Warning: ignoring some quantifiers % 1.76/1.13 Prover 0: Constructing countermodel ... % 2.26/1.28 Prover 0: proved (579ms) % 2.26/1.29 % 2.26/1.29 No countermodel exists, formula is valid % 2.26/1.29 % SZS status Unsatisfiable for theBenchmark % 2.26/1.29 % 2.26/1.29 Generating proof ... Warning: ignoring some quantifiers % 2.83/1.44 found it (size 20) % 2.83/1.44 % 2.83/1.44 % SZS output start Proof for theBenchmark % 2.83/1.44 Assumed formulas after preprocessing and simplification: % 2.83/1.44 | (0) cUnsatisfiable(i2003_11_14_17_19_06193) & ! [v0] : ! [v1] : ! [v2] : (v2 = v1 | ~ rs(v0, v2) | ~ rs(v0, v1)) & ! [v0] : ! [v1] : ! [v2] : (v2 = v1 | ~ rf1(v0, v2) | ~ rf1(v0, v1)) & ! [v0] : ! [v1] : ! [v2] : (v2 = v1 | ~ rf(v0, v2) | ~ rf(v0, v1)) & ! [v0] : ! [v1] : ! [v2] : ( ~ rf1(v0, v1) | ~ rf(v0, v2) | ~ cp(v2) | cp(v1) | cUnsatisfiable(v0) | ? [v3] : (rinvF1(v1, v3) & ! [v4] : ( ~ rs(v3, v4) | ~ cowlThing(v4)))) & ! [v0] : ! [v1] : ( ~ rs(v1, v0) | rinvS(v0, v1)) & ! [v0] : ! [v1] : ( ~ rs(v0, v1) | rf1(v0, v1)) & ! [v0] : ! [v1] : ( ~ rs(v0, v1) | rf(v0, v1)) & ! [v0] : ! [v1] : ( ~ rinvS(v0, v1) | rs(v1, v0)) & ! [v0] : ! [v1] : ( ~ rinvF1(v0, v1) | rf1(v1, v0)) & ! [v0] : ! [v1] : ( ~ rinvF(v0, v1) | rf(v1, v0)) & ! [v0] : ! [v1] : ( ~ rf1(v1, v0) | rinvF1(v0, v1)) & ! [v0] : ! [v1] : ( ~ rf(v1, v0) | rinvF(v0, v1)) & ! [v0] : ( ~ xsd_string(v0) | ~ xsd_integer(v0)) & ! [v0] : ~ cowlNothing(v0) & ! [v0] : ( ~ cUnsatisfiable(v0) | ? [v1] : (rf1(v0, v1) & ~ cp(v1) & ! [v2] : ( ~ rinvF1(v1, v2) | ? [v3] : (rs(v2, v3) & cowlThing(v3))))) & ! [v0] : ( ~ cUnsatisfiable(v0) | ? [v1] : (rf(v0, v1) & cp(v1))) & ? [v0] : (xsd_string(v0) | xsd_integer(v0)) & ? [v0] : cowlThing(v0) % 2.83/1.45 | Applying alpha-rule on (0) yields: % 2.83/1.45 | (1) ! [v0] : ! [v1] : ! [v2] : (v2 = v1 | ~ rf(v0, v2) | ~ rf(v0, v1)) % 2.83/1.45 | (2) ! [v0] : ( ~ cUnsatisfiable(v0) | ? [v1] : (rf(v0, v1) & cp(v1))) % 2.83/1.45 | (3) ! [v0] : ! [v1] : ! [v2] : ( ~ rf1(v0, v1) | ~ rf(v0, v2) | ~ cp(v2) | cp(v1) | cUnsatisfiable(v0) | ? [v3] : (rinvF1(v1, v3) & ! [v4] : ( ~ rs(v3, v4) | ~ cowlThing(v4)))) % 2.83/1.45 | (4) ? [v0] : cowlThing(v0) % 2.83/1.45 | (5) ! [v0] : ! [v1] : ( ~ rf1(v1, v0) | rinvF1(v0, v1)) % 2.83/1.45 | (6) ! [v0] : ! [v1] : ( ~ rinvF1(v0, v1) | rf1(v1, v0)) % 2.83/1.45 | (7) cUnsatisfiable(i2003_11_14_17_19_06193) % 2.83/1.45 | (8) ? [v0] : (xsd_string(v0) | xsd_integer(v0)) % 2.83/1.45 | (9) ! [v0] : ! [v1] : ( ~ rs(v0, v1) | rf1(v0, v1)) % 2.83/1.45 | (10) ! [v0] : ~ cowlNothing(v0) % 2.83/1.45 | (11) ! [v0] : ! [v1] : ( ~ rs(v0, v1) | rf(v0, v1)) % 2.83/1.45 | (12) ! [v0] : ! [v1] : ( ~ rinvS(v0, v1) | rs(v1, v0)) % 2.83/1.45 | (13) ! [v0] : ! [v1] : ( ~ rs(v1, v0) | rinvS(v0, v1)) % 2.83/1.45 | (14) ! [v0] : ! [v1] : ( ~ rf(v1, v0) | rinvF(v0, v1)) % 2.83/1.45 | (15) ! [v0] : ! [v1] : ( ~ rinvF(v0, v1) | rf(v1, v0)) % 2.83/1.45 | (16) ! [v0] : ! [v1] : ! [v2] : (v2 = v1 | ~ rs(v0, v2) | ~ rs(v0, v1)) % 2.83/1.45 | (17) ! [v0] : ! [v1] : ! [v2] : (v2 = v1 | ~ rf1(v0, v2) | ~ rf1(v0, v1)) % 2.83/1.45 | (18) ! [v0] : ( ~ xsd_string(v0) | ~ xsd_integer(v0)) % 2.83/1.45 | (19) ! [v0] : ( ~ cUnsatisfiable(v0) | ? [v1] : (rf1(v0, v1) & ~ cp(v1) & ! [v2] : ( ~ rinvF1(v1, v2) | ? [v3] : (rs(v2, v3) & cowlThing(v3))))) % 2.83/1.45 | % 2.83/1.45 | Instantiating formula (19) with i2003_11_14_17_19_06193 and discharging atoms cUnsatisfiable(i2003_11_14_17_19_06193), yields: % 2.83/1.46 | (20) ? [v0] : (rf1(i2003_11_14_17_19_06193, v0) & ~ cp(v0) & ! [v1] : ( ~ rinvF1(v0, v1) | ? [v2] : (rs(v1, v2) & cowlThing(v2)))) % 2.83/1.46 | % 2.83/1.46 | Instantiating formula (2) with i2003_11_14_17_19_06193 and discharging atoms cUnsatisfiable(i2003_11_14_17_19_06193), yields: % 2.83/1.46 | (21) ? [v0] : (rf(i2003_11_14_17_19_06193, v0) & cp(v0)) % 2.83/1.46 | % 2.83/1.46 | Instantiating (21) with all_10_0_2 yields: % 2.83/1.46 | (22) rf(i2003_11_14_17_19_06193, all_10_0_2) & cp(all_10_0_2) % 2.83/1.46 | % 2.83/1.46 | Applying alpha-rule on (22) yields: % 2.83/1.46 | (23) rf(i2003_11_14_17_19_06193, all_10_0_2) % 2.83/1.46 | (24) cp(all_10_0_2) % 2.83/1.46 | % 2.83/1.46 | Instantiating (20) with all_12_0_3 yields: % 2.83/1.46 | (25) rf1(i2003_11_14_17_19_06193, all_12_0_3) & ~ cp(all_12_0_3) & ! [v0] : ( ~ rinvF1(all_12_0_3, v0) | ? [v1] : (rs(v0, v1) & cowlThing(v1))) % 2.83/1.46 | % 2.83/1.46 | Applying alpha-rule on (25) yields: % 2.83/1.46 | (26) rf1(i2003_11_14_17_19_06193, all_12_0_3) % 2.83/1.46 | (27) ~ cp(all_12_0_3) % 2.83/1.46 | (28) ! [v0] : ( ~ rinvF1(all_12_0_3, v0) | ? [v1] : (rs(v0, v1) & cowlThing(v1))) % 2.83/1.46 | % 2.83/1.46 | Instantiating formula (5) with i2003_11_14_17_19_06193, all_12_0_3 and discharging atoms rf1(i2003_11_14_17_19_06193, all_12_0_3), yields: % 2.83/1.46 | (29) rinvF1(all_12_0_3, i2003_11_14_17_19_06193) % 2.83/1.46 | % 2.83/1.46 | Instantiating formula (28) with i2003_11_14_17_19_06193 and discharging atoms rinvF1(all_12_0_3, i2003_11_14_17_19_06193), yields: % 2.83/1.46 | (30) ? [v0] : (rs(i2003_11_14_17_19_06193, v0) & cowlThing(v0)) % 2.83/1.46 | % 2.83/1.46 | Instantiating (30) with all_26_0_4 yields: % 2.83/1.46 | (31) rs(i2003_11_14_17_19_06193, all_26_0_4) & cowlThing(all_26_0_4) % 2.83/1.46 | % 2.83/1.46 | Applying alpha-rule on (31) yields: % 2.83/1.46 | (32) rs(i2003_11_14_17_19_06193, all_26_0_4) % 2.83/1.46 | (33) cowlThing(all_26_0_4) % 2.83/1.46 | % 2.83/1.46 | Instantiating formula (9) with all_26_0_4, i2003_11_14_17_19_06193 and discharging atoms rs(i2003_11_14_17_19_06193, all_26_0_4), yields: % 2.83/1.46 | (34) rf1(i2003_11_14_17_19_06193, all_26_0_4) % 2.83/1.46 | % 2.83/1.46 | Instantiating formula (11) with all_26_0_4, i2003_11_14_17_19_06193 and discharging atoms rs(i2003_11_14_17_19_06193, all_26_0_4), yields: % 2.83/1.46 | (35) rf(i2003_11_14_17_19_06193, all_26_0_4) % 2.83/1.46 | % 2.83/1.46 | Instantiating formula (17) with all_26_0_4, all_12_0_3, i2003_11_14_17_19_06193 and discharging atoms rf1(i2003_11_14_17_19_06193, all_26_0_4), rf1(i2003_11_14_17_19_06193, all_12_0_3), yields: % 2.83/1.46 | (36) all_26_0_4 = all_12_0_3 % 2.83/1.46 | % 2.83/1.46 | Instantiating formula (1) with all_26_0_4, all_10_0_2, i2003_11_14_17_19_06193 and discharging atoms rf(i2003_11_14_17_19_06193, all_26_0_4), rf(i2003_11_14_17_19_06193, all_10_0_2), yields: % 2.83/1.46 | (37) all_26_0_4 = all_10_0_2 % 2.83/1.46 | % 2.83/1.46 | Combining equations (36,37) yields a new equation: % 2.83/1.46 | (38) all_12_0_3 = all_10_0_2 % 2.83/1.46 | % 2.83/1.46 | Simplifying 38 yields: % 2.83/1.46 | (39) all_12_0_3 = all_10_0_2 % 2.83/1.46 | % 2.83/1.46 | From (39) and (27) follows: % 2.83/1.46 | (40) ~ cp(all_10_0_2) % 2.83/1.46 | % 2.83/1.46 | Using (24) and (40) yields: % 2.83/1.46 | (41) $false % 2.83/1.46 | % 2.83/1.46 |-The branch is then unsatisfiable % 2.83/1.46 % SZS output end Proof for theBenchmark % 2.83/1.46 % 2.83/1.46 809ms %------------------------------------------------------------------------------