%------------------------------------------------------------------------------ % File : ePrincess---1.0 % Problem : KRS072+1 : TPTP v8.1.0. Released v3.1.0. % Transfm : none % Format : tptp:raw % Command : ePrincess-casc -timeout=%d %s % Computer : n021.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 2.34s 1.26s % Output : Proof 3.05s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.12 % Problem : KRS072+1 : TPTP v8.1.0. Released v3.1.0. % 0.03/0.12 % Command : ePrincess-casc -timeout=%d %s % 0.12/0.33 % Computer : n021.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 20:13:21 EDT 2022 % 0.12/0.33 % CPUTime : % 0.51/0.62 ____ _ % 0.51/0.62 ___ / __ \_____(_)___ ________ __________ % 0.51/0.62 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/ % 0.51/0.62 / __/ ____/ / / / / / / /__/ __(__ |__ ) % 0.51/0.62 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/ % 0.51/0.62 % 0.51/0.62 A Theorem Prover for First-Order Logic % 0.66/0.62 (ePrincess v.1.0) % 0.66/0.62 % 0.66/0.62 (c) Philipp Rümmer, 2009-2015 % 0.66/0.62 (c) Peter Backeman, 2014-2015 % 0.66/0.62 (contributions by Angelo Brillout, Peter Baumgartner) % 0.66/0.62 Free software under GNU Lesser General Public License (LGPL). % 0.66/0.62 Bug reports to peter@backeman.se % 0.66/0.62 % 0.66/0.62 For more information, visit http://user.uu.se/~petba168/breu/ % 0.66/0.62 % 0.66/0.63 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ... % 0.73/0.70 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all % 1.58/1.02 Prover 0: Preprocessing ... % 2.04/1.15 Prover 0: Warning: ignoring some quantifiers % 2.04/1.17 Prover 0: Constructing countermodel ... % 2.34/1.26 Prover 0: proved (564ms) % 2.34/1.26 % 2.34/1.26 No countermodel exists, formula is valid % 2.34/1.26 % SZS status Unsatisfiable for theBenchmark % 2.34/1.26 % 2.34/1.26 Generating proof ... Warning: ignoring some quantifiers % 2.84/1.44 found it (size 10) % 2.84/1.44 % 2.84/1.44 % SZS output start Proof for theBenchmark % 2.84/1.44 Assumed formulas after preprocessing and simplification: % 2.84/1.44 | (0) cUnsatisfiable(i2003_11_14_17_18_50190) & ! [v0] : ! [v1] : ! [v2] : ( ~ rr(v1, v2) | ~ rinvR(v0, v1) | ~ cp2(v0) | ~ cp1(v2) | cUnsatisfiable(v0) | ? [v3] : ? [v4] : ( ~ (v4 = v3) & rr(v1, v4) & rr(v1, v3))) & ! [v0] : ! [v1] : ( ~ rr(v1, v0) | rinvR(v0, v1)) & ! [v0] : ! [v1] : ( ~ rinvR(v0, v1) | rr(v1, v0)) & ! [v0] : ( ~ xsd_string(v0) | ~ xsd_integer(v0)) & ! [v0] : ( ~ cp5(v0) | ~ cp4(v0)) & ! [v0] : ( ~ cp5(v0) | ~ cp3(v0)) & ! [v0] : ( ~ cp5(v0) | ~ cp2(v0)) & ! [v0] : ( ~ cp5(v0) | ~ cp1(v0)) & ! [v0] : ( ~ cp4(v0) | ~ cp3(v0)) & ! [v0] : ( ~ cp4(v0) | ~ cp2(v0)) & ! [v0] : ( ~ cp4(v0) | ~ cp1(v0)) & ! [v0] : ( ~ cp3(v0) | ~ cp2(v0)) & ! [v0] : ( ~ cp3(v0) | ~ cp1(v0)) & ! [v0] : ( ~ cp2(v0) | ~ cp1(v0)) & ! [v0] : ~ cowlNothing(v0) & ! [v0] : ( ~ cUnsatisfiable(v0) | cp2(v0)) & ! [v0] : ( ~ cUnsatisfiable(v0) | ? [v1] : ? [v2] : (rr(v1, v2) & rinvR(v0, v1) & cp1(v2) & ! [v3] : ! [v4] : (v4 = v3 | ~ rr(v1, v4) | ~ rr(v1, v3)))) & ? [v0] : (xsd_string(v0) | xsd_integer(v0)) & ? [v0] : cowlThing(v0) % 3.05/1.46 | Applying alpha-rule on (0) yields: % 3.05/1.46 | (1) ! [v0] : ( ~ cp4(v0) | ~ cp2(v0)) % 3.05/1.46 | (2) ! [v0] : ( ~ cp4(v0) | ~ cp3(v0)) % 3.05/1.46 | (3) ? [v0] : cowlThing(v0) % 3.05/1.46 | (4) ! [v0] : ( ~ xsd_string(v0) | ~ xsd_integer(v0)) % 3.05/1.46 | (5) ! [v0] : ( ~ cp5(v0) | ~ cp1(v0)) % 3.05/1.46 | (6) ! [v0] : ( ~ cp5(v0) | ~ cp4(v0)) % 3.05/1.46 | (7) ! [v0] : ( ~ cUnsatisfiable(v0) | ? [v1] : ? [v2] : (rr(v1, v2) & rinvR(v0, v1) & cp1(v2) & ! [v3] : ! [v4] : (v4 = v3 | ~ rr(v1, v4) | ~ rr(v1, v3)))) % 3.05/1.46 | (8) cUnsatisfiable(i2003_11_14_17_18_50190) % 3.05/1.46 | (9) ! [v0] : ( ~ cp4(v0) | ~ cp1(v0)) % 3.05/1.46 | (10) ! [v0] : ( ~ cp5(v0) | ~ cp3(v0)) % 3.05/1.46 | (11) ! [v0] : ! [v1] : ! [v2] : ( ~ rr(v1, v2) | ~ rinvR(v0, v1) | ~ cp2(v0) | ~ cp1(v2) | cUnsatisfiable(v0) | ? [v3] : ? [v4] : ( ~ (v4 = v3) & rr(v1, v4) & rr(v1, v3))) % 3.05/1.46 | (12) ! [v0] : ( ~ cUnsatisfiable(v0) | cp2(v0)) % 3.05/1.46 | (13) ! [v0] : ~ cowlNothing(v0) % 3.05/1.46 | (14) ! [v0] : ( ~ cp3(v0) | ~ cp2(v0)) % 3.05/1.46 | (15) ! [v0] : ( ~ cp2(v0) | ~ cp1(v0)) % 3.05/1.46 | (16) ? [v0] : (xsd_string(v0) | xsd_integer(v0)) % 3.05/1.46 | (17) ! [v0] : ( ~ cp3(v0) | ~ cp1(v0)) % 3.05/1.46 | (18) ! [v0] : ! [v1] : ( ~ rinvR(v0, v1) | rr(v1, v0)) % 3.05/1.46 | (19) ! [v0] : ! [v1] : ( ~ rr(v1, v0) | rinvR(v0, v1)) % 3.05/1.46 | (20) ! [v0] : ( ~ cp5(v0) | ~ cp2(v0)) % 3.05/1.46 | % 3.05/1.46 | Instantiating formula (12) with i2003_11_14_17_18_50190 and discharging atoms cUnsatisfiable(i2003_11_14_17_18_50190), yields: % 3.05/1.46 | (21) cp2(i2003_11_14_17_18_50190) % 3.05/1.46 | % 3.05/1.46 | Instantiating formula (7) with i2003_11_14_17_18_50190 and discharging atoms cUnsatisfiable(i2003_11_14_17_18_50190), yields: % 3.05/1.46 | (22) ? [v0] : ? [v1] : (rr(v0, v1) & rinvR(i2003_11_14_17_18_50190, v0) & cp1(v1) & ! [v2] : ! [v3] : (v3 = v2 | ~ rr(v0, v3) | ~ rr(v0, v2))) % 3.05/1.46 | % 3.05/1.46 | Instantiating (22) with all_11_0_2, all_11_1_3 yields: % 3.05/1.46 | (23) rr(all_11_1_3, all_11_0_2) & rinvR(i2003_11_14_17_18_50190, all_11_1_3) & cp1(all_11_0_2) & ! [v0] : ! [v1] : (v1 = v0 | ~ rr(all_11_1_3, v1) | ~ rr(all_11_1_3, v0)) % 3.05/1.47 | % 3.05/1.47 | Applying alpha-rule on (23) yields: % 3.05/1.47 | (24) rr(all_11_1_3, all_11_0_2) % 3.05/1.47 | (25) rinvR(i2003_11_14_17_18_50190, all_11_1_3) % 3.05/1.47 | (26) cp1(all_11_0_2) % 3.05/1.47 | (27) ! [v0] : ! [v1] : (v1 = v0 | ~ rr(all_11_1_3, v1) | ~ rr(all_11_1_3, v0)) % 3.05/1.47 | % 3.05/1.47 | Instantiating formula (18) with all_11_1_3, i2003_11_14_17_18_50190 and discharging atoms rinvR(i2003_11_14_17_18_50190, all_11_1_3), yields: % 3.05/1.47 | (28) rr(all_11_1_3, i2003_11_14_17_18_50190) % 3.05/1.47 | % 3.05/1.47 | Instantiating formula (27) with i2003_11_14_17_18_50190, all_11_0_2 and discharging atoms rr(all_11_1_3, all_11_0_2), rr(all_11_1_3, i2003_11_14_17_18_50190), yields: % 3.05/1.47 | (29) all_11_0_2 = i2003_11_14_17_18_50190 % 3.05/1.47 | % 3.05/1.47 | From (29) and (26) follows: % 3.05/1.47 | (30) cp1(i2003_11_14_17_18_50190) % 3.05/1.47 | % 3.05/1.47 | Instantiating formula (15) with i2003_11_14_17_18_50190 and discharging atoms cp2(i2003_11_14_17_18_50190), cp1(i2003_11_14_17_18_50190), yields: % 3.05/1.47 | (31) $false % 3.05/1.47 | % 3.05/1.47 |-The branch is then unsatisfiable % 3.05/1.47 % SZS output end Proof for theBenchmark % 3.05/1.47 % 3.05/1.47 829ms %------------------------------------------------------------------------------