%------------------------------------------------------------------------------ % File : ePrincess---1.0 % Problem : KRS134+1 : TPTP v8.1.0. Released v3.1.0. % Transfm : none % Format : tptp:raw % Command : ePrincess-casc -timeout=%d %s % Computer : n026.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 02:56:39 EDT 2022 % Result : Theorem 2.03s 1.17s % Output : Proof 2.96s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.10/0.11 % Problem : KRS134+1 : TPTP v8.1.0. Released v3.1.0. % 0.10/0.12 % Command : ePrincess-casc -timeout=%d %s % 0.12/0.33 % Computer : n026.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 12:29:16 EDT 2022 % 0.12/0.33 % CPUTime : % 0.19/0.57 ____ _ % 0.19/0.57 ___ / __ \_____(_)___ ________ __________ % 0.19/0.57 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/ % 0.19/0.57 / __/ ____/ / / / / / / /__/ __(__ |__ ) % 0.19/0.57 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/ % 0.19/0.57 % 0.19/0.57 A Theorem Prover for First-Order Logic % 0.19/0.57 (ePrincess v.1.0) % 0.19/0.57 % 0.19/0.57 (c) Philipp Rümmer, 2009-2015 % 0.19/0.57 (c) Peter Backeman, 2014-2015 % 0.19/0.57 (contributions by Angelo Brillout, Peter Baumgartner) % 0.19/0.57 Free software under GNU Lesser General Public License (LGPL). % 0.19/0.57 Bug reports to peter@backeman.se % 0.19/0.57 % 0.19/0.57 For more information, visit http://user.uu.se/~petba168/breu/ % 0.19/0.57 % 0.19/0.58 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ... % 0.76/0.62 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all % 1.18/0.86 Prover 0: Preprocessing ... % 1.45/0.92 Prover 0: Warning: ignoring some quantifiers % 1.53/0.94 Prover 0: Constructing countermodel ... % 1.72/1.02 Prover 0: gave up % 1.72/1.02 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -resolutionMethod=normal +ignoreQuantifiers -generateTriggers=all % 1.72/1.04 Prover 1: Preprocessing ... % 2.03/1.11 Prover 1: Constructing countermodel ... % 2.03/1.17 Prover 1: proved (147ms) % 2.03/1.17 % 2.03/1.17 No countermodel exists, formula is valid % 2.03/1.17 % SZS status Theorem for theBenchmark % 2.03/1.17 % 2.03/1.17 Generating proof ... found it (size 46) % 2.80/1.37 % 2.80/1.37 % SZS output start Proof for theBenchmark % 2.80/1.37 Assumed formulas after preprocessing and simplification: % 2.80/1.37 | (0) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ( ! [v5] : ! [v6] : ! [v7] : ! [v8] : (v6 = v5 | ~ (rprop(v8, v7) = v6) | ~ (rprop(v8, v7) = v5)) & ! [v5] : ! [v6] : ! [v7] : (v6 = v5 | ~ (cA(v7) = v6) | ~ (cA(v7) = v5)) & ! [v5] : ! [v6] : ! [v7] : (v6 = v5 | ~ (xsd_string(v7) = v6) | ~ (xsd_string(v7) = v5)) & ! [v5] : ! [v6] : ! [v7] : (v6 = v5 | ~ (xsd_integer(v7) = v6) | ~ (xsd_integer(v7) = v5)) & ! [v5] : ! [v6] : ! [v7] : (v6 = v5 | ~ (cowlNothing(v7) = v6) | ~ (cowlNothing(v7) = v5)) & ! [v5] : ! [v6] : ! [v7] : (v6 = v5 | ~ (cowlThing(v7) = v6) | ~ (cowlThing(v7) = v5)) & ! [v5] : ! [v6] : (v6 = 0 | ~ (xsd_string(v5) = v6) | xsd_integer(v5) = 0) & ! [v5] : ! [v6] : (v6 = 0 | ~ (cowlThing(v5) = v6)) & ! [v5] : ! [v6] : ( ~ (rprop(v5, v6) = 0) | cA(v6) = 0) & ! [v5] : ( ~ (xsd_string(v5) = 0) | ? [v6] : ( ~ (v6 = 0) & xsd_integer(v5) = v6)) & ! [v5] : ~ (cowlNothing(v5) = 0) & ((v3 = 0 & v1 = 0 & ~ (v4 = 0) & rprop(v0, v2) = 0 & cA(v2) = v4 & cowlThing(v0) = 0) | (xsd_string(v0) = v1 & xsd_integer(v0) = v2 & ((v2 = 0 & v1 = 0) | ( ~ (v2 = 0) & ~ (v1 = 0)))) | (cowlNothing(v0) = v2 & cowlThing(v0) = v1 & ( ~ (v1 = 0) | v2 = 0)))) % 2.96/1.41 | Instantiating (0) with all_0_0_0, all_0_1_1, all_0_2_2, all_0_3_3, all_0_4_4 yields: % 2.96/1.41 | (1) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (rprop(v3, v2) = v1) | ~ (rprop(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (cA(v2) = v1) | ~ (cA(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (xsd_string(v2) = v1) | ~ (xsd_string(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (xsd_integer(v2) = v1) | ~ (xsd_integer(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (cowlNothing(v2) = v1) | ~ (cowlNothing(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (cowlThing(v2) = v1) | ~ (cowlThing(v2) = v0)) & ! [v0] : ! [v1] : (v1 = 0 | ~ (xsd_string(v0) = v1) | xsd_integer(v0) = 0) & ! [v0] : ! [v1] : (v1 = 0 | ~ (cowlThing(v0) = v1)) & ! [v0] : ! [v1] : ( ~ (rprop(v0, v1) = 0) | cA(v1) = 0) & ! [v0] : ( ~ (xsd_string(v0) = 0) | ? [v1] : ( ~ (v1 = 0) & xsd_integer(v0) = v1)) & ! [v0] : ~ (cowlNothing(v0) = 0) & ((all_0_1_1 = 0 & all_0_3_3 = 0 & ~ (all_0_0_0 = 0) & rprop(all_0_4_4, all_0_2_2) = 0 & cA(all_0_2_2) = all_0_0_0 & cowlThing(all_0_4_4) = 0) | (xsd_string(all_0_4_4) = all_0_3_3 & xsd_integer(all_0_4_4) = all_0_2_2 & ((all_0_2_2 = 0 & all_0_3_3 = 0) | ( ~ (all_0_2_2 = 0) & ~ (all_0_3_3 = 0)))) | (cowlNothing(all_0_4_4) = all_0_2_2 & cowlThing(all_0_4_4) = all_0_3_3 & ( ~ (all_0_3_3 = 0) | all_0_2_2 = 0))) % 2.96/1.41 | % 2.96/1.41 | Applying alpha-rule on (1) yields: % 2.96/1.41 | (2) ! [v0] : ~ (cowlNothing(v0) = 0) % 2.96/1.41 | (3) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (xsd_string(v2) = v1) | ~ (xsd_string(v2) = v0)) % 2.96/1.42 | (4) ! [v0] : ! [v1] : (v1 = 0 | ~ (xsd_string(v0) = v1) | xsd_integer(v0) = 0) % 2.96/1.42 | (5) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (rprop(v3, v2) = v1) | ~ (rprop(v3, v2) = v0)) % 2.96/1.42 | (6) ! [v0] : ( ~ (xsd_string(v0) = 0) | ? [v1] : ( ~ (v1 = 0) & xsd_integer(v0) = v1)) % 2.96/1.42 | (7) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (cA(v2) = v1) | ~ (cA(v2) = v0)) % 2.96/1.42 | (8) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (cowlThing(v2) = v1) | ~ (cowlThing(v2) = v0)) % 2.96/1.42 | (9) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (cowlNothing(v2) = v1) | ~ (cowlNothing(v2) = v0)) % 2.96/1.42 | (10) ! [v0] : ! [v1] : (v1 = 0 | ~ (cowlThing(v0) = v1)) % 2.96/1.42 | (11) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (xsd_integer(v2) = v1) | ~ (xsd_integer(v2) = v0)) % 2.96/1.42 | (12) ! [v0] : ! [v1] : ( ~ (rprop(v0, v1) = 0) | cA(v1) = 0) % 2.96/1.42 | (13) (all_0_1_1 = 0 & all_0_3_3 = 0 & ~ (all_0_0_0 = 0) & rprop(all_0_4_4, all_0_2_2) = 0 & cA(all_0_2_2) = all_0_0_0 & cowlThing(all_0_4_4) = 0) | (xsd_string(all_0_4_4) = all_0_3_3 & xsd_integer(all_0_4_4) = all_0_2_2 & ((all_0_2_2 = 0 & all_0_3_3 = 0) | ( ~ (all_0_2_2 = 0) & ~ (all_0_3_3 = 0)))) | (cowlNothing(all_0_4_4) = all_0_2_2 & cowlThing(all_0_4_4) = all_0_3_3 & ( ~ (all_0_3_3 = 0) | all_0_2_2 = 0)) % 2.96/1.42 | % 2.96/1.42 +-Applying beta-rule and splitting (13), into two cases. % 2.96/1.42 |-Branch one: % 2.96/1.42 | (14) (all_0_1_1 = 0 & all_0_3_3 = 0 & ~ (all_0_0_0 = 0) & rprop(all_0_4_4, all_0_2_2) = 0 & cA(all_0_2_2) = all_0_0_0 & cowlThing(all_0_4_4) = 0) | (xsd_string(all_0_4_4) = all_0_3_3 & xsd_integer(all_0_4_4) = all_0_2_2 & ((all_0_2_2 = 0 & all_0_3_3 = 0) | ( ~ (all_0_2_2 = 0) & ~ (all_0_3_3 = 0)))) % 2.96/1.42 | % 2.96/1.42 +-Applying beta-rule and splitting (14), into two cases. % 2.96/1.42 |-Branch one: % 2.96/1.42 | (15) all_0_1_1 = 0 & all_0_3_3 = 0 & ~ (all_0_0_0 = 0) & rprop(all_0_4_4, all_0_2_2) = 0 & cA(all_0_2_2) = all_0_0_0 & cowlThing(all_0_4_4) = 0 % 2.96/1.42 | % 2.96/1.42 | Applying alpha-rule on (15) yields: % 2.96/1.42 | (16) ~ (all_0_0_0 = 0) % 2.96/1.42 | (17) all_0_3_3 = 0 % 2.96/1.42 | (18) rprop(all_0_4_4, all_0_2_2) = 0 % 2.96/1.42 | (19) cA(all_0_2_2) = all_0_0_0 % 2.96/1.42 | (20) all_0_1_1 = 0 % 2.96/1.42 | (21) cowlThing(all_0_4_4) = 0 % 2.96/1.42 | % 2.96/1.42 | Instantiating formula (12) with all_0_2_2, all_0_4_4 and discharging atoms rprop(all_0_4_4, all_0_2_2) = 0, yields: % 2.96/1.42 | (22) cA(all_0_2_2) = 0 % 2.96/1.42 | % 2.96/1.42 | Instantiating formula (7) with all_0_2_2, 0, all_0_0_0 and discharging atoms cA(all_0_2_2) = all_0_0_0, cA(all_0_2_2) = 0, yields: % 2.96/1.42 | (23) all_0_0_0 = 0 % 2.96/1.42 | % 2.96/1.42 | Equations (23) can reduce 16 to: % 2.96/1.42 | (24) $false % 2.96/1.42 | % 2.96/1.43 |-The branch is then unsatisfiable % 2.96/1.43 |-Branch two: % 2.96/1.43 | (25) xsd_string(all_0_4_4) = all_0_3_3 & xsd_integer(all_0_4_4) = all_0_2_2 & ((all_0_2_2 = 0 & all_0_3_3 = 0) | ( ~ (all_0_2_2 = 0) & ~ (all_0_3_3 = 0))) % 2.96/1.43 | % 2.96/1.43 | Applying alpha-rule on (25) yields: % 2.96/1.43 | (26) xsd_string(all_0_4_4) = all_0_3_3 % 2.96/1.43 | (27) xsd_integer(all_0_4_4) = all_0_2_2 % 2.96/1.43 | (28) (all_0_2_2 = 0 & all_0_3_3 = 0) | ( ~ (all_0_2_2 = 0) & ~ (all_0_3_3 = 0)) % 2.96/1.43 | % 2.96/1.43 | Instantiating formula (6) with all_0_4_4 yields: % 2.96/1.43 | (29) ~ (xsd_string(all_0_4_4) = 0) | ? [v0] : ( ~ (v0 = 0) & xsd_integer(all_0_4_4) = v0) % 2.96/1.43 | % 2.96/1.43 | Instantiating formula (4) with all_0_3_3, all_0_4_4 and discharging atoms xsd_string(all_0_4_4) = all_0_3_3, yields: % 2.96/1.43 | (30) all_0_3_3 = 0 | xsd_integer(all_0_4_4) = 0 % 2.96/1.43 | % 2.96/1.43 +-Applying beta-rule and splitting (30), into two cases. % 2.96/1.43 |-Branch one: % 2.96/1.43 | (31) xsd_integer(all_0_4_4) = 0 % 2.96/1.43 | % 2.96/1.43 | Instantiating formula (11) with all_0_4_4, 0, all_0_2_2 and discharging atoms xsd_integer(all_0_4_4) = all_0_2_2, xsd_integer(all_0_4_4) = 0, yields: % 2.96/1.43 | (32) all_0_2_2 = 0 % 2.96/1.43 | % 2.96/1.43 | From (32) and (27) follows: % 2.96/1.43 | (31) xsd_integer(all_0_4_4) = 0 % 2.96/1.43 | % 2.96/1.43 +-Applying beta-rule and splitting (29), into two cases. % 2.96/1.43 |-Branch one: % 2.96/1.43 | (34) ~ (xsd_string(all_0_4_4) = 0) % 2.96/1.43 | % 2.96/1.43 +-Applying beta-rule and splitting (28), into two cases. % 2.96/1.43 |-Branch one: % 2.96/1.43 | (35) all_0_2_2 = 0 & all_0_3_3 = 0 % 2.96/1.43 | % 2.96/1.43 | Applying alpha-rule on (35) yields: % 2.96/1.43 | (32) all_0_2_2 = 0 % 2.96/1.43 | (17) all_0_3_3 = 0 % 2.96/1.43 | % 2.96/1.43 | From (17) and (26) follows: % 2.96/1.43 | (38) xsd_string(all_0_4_4) = 0 % 2.96/1.43 | % 2.96/1.43 | Using (38) and (34) yields: % 2.96/1.43 | (39) $false % 2.96/1.43 | % 2.96/1.43 |-The branch is then unsatisfiable % 2.96/1.43 |-Branch two: % 2.96/1.43 | (40) ~ (all_0_2_2 = 0) & ~ (all_0_3_3 = 0) % 2.96/1.43 | % 2.96/1.43 | Applying alpha-rule on (40) yields: % 2.96/1.43 | (41) ~ (all_0_2_2 = 0) % 2.96/1.43 | (42) ~ (all_0_3_3 = 0) % 2.96/1.43 | % 2.96/1.43 | Equations (32) can reduce 41 to: % 2.96/1.43 | (24) $false % 2.96/1.43 | % 2.96/1.43 |-The branch is then unsatisfiable % 2.96/1.43 |-Branch two: % 2.96/1.43 | (38) xsd_string(all_0_4_4) = 0 % 2.96/1.43 | (45) ? [v0] : ( ~ (v0 = 0) & xsd_integer(all_0_4_4) = v0) % 2.96/1.43 | % 2.96/1.43 | Instantiating (45) with all_21_0_5 yields: % 2.96/1.43 | (46) ~ (all_21_0_5 = 0) & xsd_integer(all_0_4_4) = all_21_0_5 % 2.96/1.43 | % 2.96/1.43 | Applying alpha-rule on (46) yields: % 2.96/1.43 | (47) ~ (all_21_0_5 = 0) % 2.96/1.43 | (48) xsd_integer(all_0_4_4) = all_21_0_5 % 2.96/1.43 | % 2.96/1.43 | Instantiating formula (11) with all_0_4_4, all_21_0_5, 0 and discharging atoms xsd_integer(all_0_4_4) = all_21_0_5, xsd_integer(all_0_4_4) = 0, yields: % 2.96/1.43 | (49) all_21_0_5 = 0 % 2.96/1.43 | % 2.96/1.43 | Equations (49) can reduce 47 to: % 2.96/1.43 | (24) $false % 2.96/1.43 | % 2.96/1.43 |-The branch is then unsatisfiable % 2.96/1.43 |-Branch two: % 2.96/1.43 | (51) ~ (xsd_integer(all_0_4_4) = 0) % 2.96/1.43 | (17) all_0_3_3 = 0 % 2.96/1.43 | % 2.96/1.43 +-Applying beta-rule and splitting (28), into two cases. % 2.96/1.43 |-Branch one: % 2.96/1.43 | (35) all_0_2_2 = 0 & all_0_3_3 = 0 % 2.96/1.43 | % 2.96/1.43 | Applying alpha-rule on (35) yields: % 2.96/1.43 | (32) all_0_2_2 = 0 % 2.96/1.43 | (17) all_0_3_3 = 0 % 2.96/1.43 | % 2.96/1.43 | From (32) and (27) follows: % 2.96/1.43 | (31) xsd_integer(all_0_4_4) = 0 % 2.96/1.43 | % 2.96/1.43 | Using (31) and (51) yields: % 2.96/1.43 | (39) $false % 2.96/1.43 | % 2.96/1.43 |-The branch is then unsatisfiable % 2.96/1.43 |-Branch two: % 2.96/1.43 | (40) ~ (all_0_2_2 = 0) & ~ (all_0_3_3 = 0) % 2.96/1.43 | % 2.96/1.43 | Applying alpha-rule on (40) yields: % 2.96/1.43 | (41) ~ (all_0_2_2 = 0) % 2.96/1.44 | (42) ~ (all_0_3_3 = 0) % 2.96/1.44 | % 2.96/1.44 | Equations (17) can reduce 42 to: % 2.96/1.44 | (24) $false % 2.96/1.44 | % 2.96/1.44 |-The branch is then unsatisfiable % 2.96/1.44 |-Branch two: % 2.96/1.44 | (62) cowlNothing(all_0_4_4) = all_0_2_2 & cowlThing(all_0_4_4) = all_0_3_3 & ( ~ (all_0_3_3 = 0) | all_0_2_2 = 0) % 2.96/1.44 | % 2.96/1.44 | Applying alpha-rule on (62) yields: % 2.96/1.44 | (63) cowlNothing(all_0_4_4) = all_0_2_2 % 2.96/1.44 | (64) cowlThing(all_0_4_4) = all_0_3_3 % 2.96/1.44 | (65) ~ (all_0_3_3 = 0) | all_0_2_2 = 0 % 2.96/1.44 | % 2.96/1.44 | Instantiating formula (2) with all_0_4_4 yields: % 2.96/1.44 | (66) ~ (cowlNothing(all_0_4_4) = 0) % 2.96/1.44 | % 2.96/1.44 | Instantiating formula (10) with all_0_3_3, all_0_4_4 and discharging atoms cowlThing(all_0_4_4) = all_0_3_3, yields: % 2.96/1.44 | (17) all_0_3_3 = 0 % 2.96/1.44 | % 2.96/1.44 +-Applying beta-rule and splitting (65), into two cases. % 2.96/1.44 |-Branch one: % 2.96/1.44 | (42) ~ (all_0_3_3 = 0) % 2.96/1.44 | % 2.96/1.44 | Equations (17) can reduce 42 to: % 2.96/1.44 | (24) $false % 2.96/1.44 | % 2.96/1.44 |-The branch is then unsatisfiable % 2.96/1.44 |-Branch two: % 2.96/1.44 | (17) all_0_3_3 = 0 % 2.96/1.44 | (32) all_0_2_2 = 0 % 2.96/1.44 | % 2.96/1.44 | From (32) and (63) follows: % 2.96/1.44 | (72) cowlNothing(all_0_4_4) = 0 % 2.96/1.44 | % 2.96/1.44 | Using (72) and (66) yields: % 2.96/1.44 | (39) $false % 2.96/1.44 | % 2.96/1.44 |-The branch is then unsatisfiable % 2.96/1.44 % SZS output end Proof for theBenchmark % 2.96/1.44 % 2.96/1.44 854ms %------------------------------------------------------------------------------