%------------------------------------------------------------------------------ % File : ePrincess---1.0 % Problem : KRS070+1 : TPTP v8.1.0. Released v3.1.0. % Transfm : none % Format : tptp:raw % Command : ePrincess-casc -timeout=%d %s % Computer : n029.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 02:56:28 EDT 2022 % Result : Unsatisfiable 2.30s 1.33s % Output : Proof 3.57s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.14/0.14 % Problem : KRS070+1 : TPTP v8.1.0. Released v3.1.0. % 0.14/0.15 % Command : ePrincess-casc -timeout=%d %s % 0.15/0.36 % Computer : n029.cluster.edu % 0.15/0.36 % Model : x86_64 x86_64 % 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.36 % Memory : 8042.1875MB % 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.36 % CPULimit : 300 % 0.15/0.36 % WCLimit : 600 % 0.15/0.36 % DateTime : Tue Jun 7 10:37:20 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 % 0.53/0.64 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ... % 0.70/0.69 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all % 1.73/1.03 Prover 0: Preprocessing ... % 2.23/1.21 Prover 0: Warning: ignoring some quantifiers % 2.23/1.23 Prover 0: Constructing countermodel ... % 2.30/1.32 Prover 0: proved (640ms) % 2.30/1.33 % 2.30/1.33 No countermodel exists, formula is valid % 2.30/1.33 % SZS status Unsatisfiable for theBenchmark % 2.30/1.33 % 2.30/1.33 Generating proof ... Warning: ignoring some quantifiers % 3.57/1.55 found it (size 13) % 3.57/1.55 % 3.57/1.55 % SZS output start Proof for theBenchmark % 3.57/1.55 Assumed formulas after preprocessing and simplification: % 3.57/1.55 | (0) cUnsatisfiable(i2003_11_14_17_18_32242) & ! [v0] : ! [v1] : ! [v2] : (v2 = v1 | ~ rrx4a(v0, v2) | ~ rrx4a(v0, v1)) & ! [v0] : ! [v1] : ! [v2] : (v2 = v1 | ~ rrx4(v0, v2) | ~ rrx4(v0, v1)) & ! [v0] : ! [v1] : ! [v2] : (v2 = v1 | ~ rrx3a(v0, v2) | ~ rrx3a(v0, v1)) & ! [v0] : ! [v1] : ! [v2] : (v2 = v1 | ~ rrx3(v0, v2) | ~ rrx3(v0, v1)) & ! [v0] : ! [v1] : ! [v2] : (v2 = v1 | ~ rrx(v0, v2) | ~ rrx(v0, v1)) & ! [v0] : ! [v1] : ! [v2] : ( ~ rrx4(v0, v2) | ~ rrx3(v0, v1) | ~ cc2(v2) | ~ cc1(v1) | cUnsatisfiable(v0) | ? [v3] : (rrx3(v0, v3) & cc2(v3) & cc1(v3))) & ! [v0] : ! [v1] : ( ~ rrx4a(v0, v1) | rrxa(v0, v1)) & ! [v0] : ! [v1] : ( ~ rrx4a(v0, v1) | rrx2a(v0, v1)) & ! [v0] : ! [v1] : ( ~ rrx4(v0, v1) | rrx2(v0, v1)) & ! [v0] : ! [v1] : ( ~ rrx4(v0, v1) | rrx(v0, v1)) & ! [v0] : ! [v1] : ( ~ rrx3a(v0, v1) | rrxa(v0, v1)) & ! [v0] : ! [v1] : ( ~ rrx3a(v0, v1) | rrx1a(v0, v1)) & ! [v0] : ! [v1] : ( ~ rrx3(v0, v1) | ~ cc2(v1) | ~ cc1(v1) | ~ cUnsatisfiable(v0)) & ! [v0] : ! [v1] : ( ~ rrx3(v0, v1) | rrx1(v0, v1)) & ! [v0] : ! [v1] : ( ~ rrx3(v0, v1) | rrx(v0, v1)) & ! [v0] : ( ~ xsd_string(v0) | ~ xsd_integer(v0)) & ! [v0] : ~ cowlNothing(v0) & ! [v0] : ( ~ cUnsatisfiable(v0) | ? [v1] : (rrx4(v0, v1) & cc2(v1))) & ! [v0] : ( ~ cUnsatisfiable(v0) | ? [v1] : (rrx3(v0, v1) & cc1(v1))) & ? [v0] : (xsd_string(v0) | xsd_integer(v0)) & ? [v0] : cowlThing(v0) % 3.57/1.57 | Applying alpha-rule on (0) yields: % 3.57/1.57 | (1) ! [v0] : ( ~ xsd_string(v0) | ~ xsd_integer(v0)) % 3.57/1.57 | (2) ! [v0] : ! [v1] : ( ~ rrx3(v0, v1) | rrx1(v0, v1)) % 3.57/1.57 | (3) ! [v0] : ( ~ cUnsatisfiable(v0) | ? [v1] : (rrx3(v0, v1) & cc1(v1))) % 3.57/1.57 | (4) ! [v0] : ! [v1] : ( ~ rrx4a(v0, v1) | rrxa(v0, v1)) % 3.57/1.57 | (5) ! [v0] : ! [v1] : ! [v2] : (v2 = v1 | ~ rrx3a(v0, v2) | ~ rrx3a(v0, v1)) % 3.57/1.57 | (6) ! [v0] : ! [v1] : ( ~ rrx3a(v0, v1) | rrxa(v0, v1)) % 3.57/1.57 | (7) ! [v0] : ! [v1] : ! [v2] : (v2 = v1 | ~ rrx(v0, v2) | ~ rrx(v0, v1)) % 3.57/1.57 | (8) ! [v0] : ! [v1] : ! [v2] : ( ~ rrx4(v0, v2) | ~ rrx3(v0, v1) | ~ cc2(v2) | ~ cc1(v1) | cUnsatisfiable(v0) | ? [v3] : (rrx3(v0, v3) & cc2(v3) & cc1(v3))) % 3.57/1.57 | (9) cUnsatisfiable(i2003_11_14_17_18_32242) % 3.57/1.57 | (10) ! [v0] : ( ~ cUnsatisfiable(v0) | ? [v1] : (rrx4(v0, v1) & cc2(v1))) % 3.57/1.57 | (11) ! [v0] : ! [v1] : ( ~ rrx4(v0, v1) | rrx2(v0, v1)) % 3.57/1.57 | (12) ! [v0] : ~ cowlNothing(v0) % 3.57/1.57 | (13) ? [v0] : cowlThing(v0) % 3.57/1.57 | (14) ! [v0] : ! [v1] : ( ~ rrx3a(v0, v1) | rrx1a(v0, v1)) % 3.57/1.57 | (15) ! [v0] : ! [v1] : ( ~ rrx4(v0, v1) | rrx(v0, v1)) % 3.57/1.57 | (16) ? [v0] : (xsd_string(v0) | xsd_integer(v0)) % 3.57/1.57 | (17) ! [v0] : ! [v1] : ( ~ rrx3(v0, v1) | rrx(v0, v1)) % 3.57/1.57 | (18) ! [v0] : ! [v1] : ! [v2] : (v2 = v1 | ~ rrx3(v0, v2) | ~ rrx3(v0, v1)) % 3.57/1.57 | (19) ! [v0] : ! [v1] : ( ~ rrx4a(v0, v1) | rrx2a(v0, v1)) % 3.57/1.58 | (20) ! [v0] : ! [v1] : ( ~ rrx3(v0, v1) | ~ cc2(v1) | ~ cc1(v1) | ~ cUnsatisfiable(v0)) % 3.57/1.58 | (21) ! [v0] : ! [v1] : ! [v2] : (v2 = v1 | ~ rrx4(v0, v2) | ~ rrx4(v0, v1)) % 3.57/1.58 | (22) ! [v0] : ! [v1] : ! [v2] : (v2 = v1 | ~ rrx4a(v0, v2) | ~ rrx4a(v0, v1)) % 3.57/1.58 | % 3.57/1.58 | Instantiating formula (10) with i2003_11_14_17_18_32242 and discharging atoms cUnsatisfiable(i2003_11_14_17_18_32242), yields: % 3.57/1.58 | (23) ? [v0] : (rrx4(i2003_11_14_17_18_32242, v0) & cc2(v0)) % 3.57/1.58 | % 3.57/1.58 | Instantiating formula (3) with i2003_11_14_17_18_32242 and discharging atoms cUnsatisfiable(i2003_11_14_17_18_32242), yields: % 3.57/1.58 | (24) ? [v0] : (rrx3(i2003_11_14_17_18_32242, v0) & cc1(v0)) % 3.57/1.58 | % 3.57/1.58 | Instantiating (24) with all_10_0_2 yields: % 3.57/1.58 | (25) rrx3(i2003_11_14_17_18_32242, all_10_0_2) & cc1(all_10_0_2) % 3.57/1.58 | % 3.57/1.58 | Applying alpha-rule on (25) yields: % 3.57/1.58 | (26) rrx3(i2003_11_14_17_18_32242, all_10_0_2) % 3.57/1.58 | (27) cc1(all_10_0_2) % 3.57/1.58 | % 3.57/1.58 | Instantiating (23) with all_12_0_3 yields: % 3.57/1.58 | (28) rrx4(i2003_11_14_17_18_32242, all_12_0_3) & cc2(all_12_0_3) % 3.57/1.58 | % 3.57/1.58 | Applying alpha-rule on (28) yields: % 3.57/1.58 | (29) rrx4(i2003_11_14_17_18_32242, all_12_0_3) % 3.57/1.58 | (30) cc2(all_12_0_3) % 3.57/1.58 | % 3.57/1.58 | Instantiating formula (15) with all_12_0_3, i2003_11_14_17_18_32242 and discharging atoms rrx4(i2003_11_14_17_18_32242, all_12_0_3), yields: % 3.57/1.58 | (31) rrx(i2003_11_14_17_18_32242, all_12_0_3) % 3.57/1.58 | % 3.57/1.58 | Instantiating formula (17) with all_10_0_2, i2003_11_14_17_18_32242 and discharging atoms rrx3(i2003_11_14_17_18_32242, all_10_0_2), yields: % 3.57/1.58 | (32) rrx(i2003_11_14_17_18_32242, all_10_0_2) % 3.57/1.58 | % 3.57/1.58 | Instantiating formula (7) with all_10_0_2, all_12_0_3, i2003_11_14_17_18_32242 and discharging atoms rrx(i2003_11_14_17_18_32242, all_12_0_3), rrx(i2003_11_14_17_18_32242, all_10_0_2), yields: % 3.57/1.58 | (33) all_12_0_3 = all_10_0_2 % 3.57/1.58 | % 3.57/1.58 | From (33) and (30) follows: % 3.57/1.58 | (34) cc2(all_10_0_2) % 3.57/1.58 | % 3.57/1.58 | Instantiating formula (20) with all_10_0_2, i2003_11_14_17_18_32242 and discharging atoms rrx3(i2003_11_14_17_18_32242, all_10_0_2), cc2(all_10_0_2), cc1(all_10_0_2), cUnsatisfiable(i2003_11_14_17_18_32242), yields: % 3.57/1.58 | (35) $false % 3.57/1.58 | % 3.57/1.58 |-The branch is then unsatisfiable % 3.57/1.58 % SZS output end Proof for theBenchmark % 3.57/1.58 % 3.57/1.58 939ms %------------------------------------------------------------------------------