%------------------------------------------------------------------------------ % File : ePrincess---1.0 % Problem : KRS106+1 : TPTP v8.1.0. Released v3.1.0. % Transfm : none % Format : tptp:raw % Command : ePrincess-casc -timeout=%d %s % Computer : n020.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 02:56:35 EDT 2022 % Result : Unsatisfiable 2.04s 1.13s % Output : Proof 3.12s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.06/0.11 % Problem : KRS106+1 : TPTP v8.1.0. Released v3.1.0. % 0.06/0.12 % Command : ePrincess-casc -timeout=%d %s % 0.12/0.33 % Computer : n020.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 14:11:51 EDT 2022 % 0.12/0.33 % 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 % 0.19/0.58 (contributions by Angelo Brillout, Peter Baumgartner) % 0.19/0.58 Free software under GNU Lesser General Public License (LGPL). % 0.19/0.58 Bug reports to peter@backeman.se % 0.19/0.58 % 0.19/0.58 For more information, visit http://user.uu.se/~petba168/breu/ % 0.19/0.58 % 0.19/0.58 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ... % 0.68/0.62 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all % 1.49/0.87 Prover 0: Preprocessing ... % 1.90/1.00 Prover 0: Warning: ignoring some quantifiers % 1.90/1.02 Prover 0: Constructing countermodel ... % 2.04/1.12 Prover 0: proved (500ms) % 2.04/1.13 % 2.04/1.13 No countermodel exists, formula is valid % 2.04/1.13 % SZS status Unsatisfiable for theBenchmark % 2.04/1.13 % 2.04/1.13 Generating proof ... Warning: ignoring some quantifiers % 2.86/1.32 found it (size 21) % 2.86/1.32 % 2.86/1.32 % SZS output start Proof for theBenchmark % 2.86/1.32 Assumed formulas after preprocessing and simplification: % 2.86/1.32 | (0) cUnsatisfiable(i2003_11_14_17_20_57644) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ rf3(v0, v3) | ~ rf2(v0, v1) | ~ rf1(v0, v2) | ~ cp2(v3) | ~ cp1xcomp(v1) | ~ cp1(v2) | cUnsatisfiable(v0)) & ! [v0] : ! [v1] : ! [v2] : (v2 = v1 | ~ rf3(v0, v2) | ~ rf3(v0, v1)) & ! [v0] : ! [v1] : ! [v2] : (v2 = v1 | ~ rf2(v0, v2) | ~ rf2(v0, v1)) & ! [v0] : ! [v1] : ! [v2] : (v2 = v1 | ~ rf1(v0, v2) | ~ rf1(v0, v1)) & ! [v0] : ! [v1] : ( ~ rf3(v0, v1) | rf2(v0, v1)) & ! [v0] : ! [v1] : ( ~ rf3(v0, v1) | rf1(v0, v1)) & ! [v0] : ! [v1] : ( ~ ra_Px1(v0, v1) | ~ cp1(v0)) & ! [v0] : ! [v1] : ( ~ ra_Px1(v0, v1) | cp1xcomp(v0)) & ! [v0] : ( ~ xsd_string(v0) | ~ xsd_integer(v0)) & ! [v0] : ( ~ cp1xcomp(v0) | ? [v1] : ra_Px1(v0, v1)) & ! [v0] : ~ cowlNothing(v0) & ! [v0] : ( ~ cUnsatisfiable(v0) | ? [v1] : (rf3(v0, v1) & cp2(v1))) & ! [v0] : ( ~ cUnsatisfiable(v0) | ? [v1] : (rf2(v0, v1) & cp1xcomp(v1))) & ! [v0] : ( ~ cUnsatisfiable(v0) | ? [v1] : (rf1(v0, v1) & cp1(v1))) & ? [v0] : (xsd_string(v0) | xsd_integer(v0)) & ? [v0] : (cp1(v0) | ? [v1] : ra_Px1(v0, v1)) & ? [v0] : cowlThing(v0) % 2.86/1.33 | Applying alpha-rule on (0) yields: % 2.86/1.33 | (1) cUnsatisfiable(i2003_11_14_17_20_57644) % 2.86/1.33 | (2) ? [v0] : cowlThing(v0) % 2.86/1.33 | (3) ! [v0] : ! [v1] : ( ~ rf3(v0, v1) | rf1(v0, v1)) % 2.86/1.33 | (4) ! [v0] : ! [v1] : ( ~ ra_Px1(v0, v1) | cp1xcomp(v0)) % 2.86/1.33 | (5) ! [v0] : ! [v1] : ( ~ rf3(v0, v1) | rf2(v0, v1)) % 2.86/1.33 | (6) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ rf3(v0, v3) | ~ rf2(v0, v1) | ~ rf1(v0, v2) | ~ cp2(v3) | ~ cp1xcomp(v1) | ~ cp1(v2) | cUnsatisfiable(v0)) % 2.86/1.34 | (7) ! [v0] : ( ~ xsd_string(v0) | ~ xsd_integer(v0)) % 2.86/1.34 | (8) ! [v0] : ( ~ cUnsatisfiable(v0) | ? [v1] : (rf1(v0, v1) & cp1(v1))) % 2.86/1.34 | (9) ! [v0] : ( ~ cUnsatisfiable(v0) | ? [v1] : (rf3(v0, v1) & cp2(v1))) % 2.86/1.34 | (10) ! [v0] : ~ cowlNothing(v0) % 2.86/1.34 | (11) ? [v0] : (cp1(v0) | ? [v1] : ra_Px1(v0, v1)) % 2.86/1.34 | (12) ? [v0] : (xsd_string(v0) | xsd_integer(v0)) % 2.86/1.34 | (13) ! [v0] : ( ~ cUnsatisfiable(v0) | ? [v1] : (rf2(v0, v1) & cp1xcomp(v1))) % 2.86/1.34 | (14) ! [v0] : ! [v1] : ! [v2] : (v2 = v1 | ~ rf2(v0, v2) | ~ rf2(v0, v1)) % 2.86/1.34 | (15) ! [v0] : ( ~ cp1xcomp(v0) | ? [v1] : ra_Px1(v0, v1)) % 2.86/1.34 | (16) ! [v0] : ! [v1] : ! [v2] : (v2 = v1 | ~ rf1(v0, v2) | ~ rf1(v0, v1)) % 2.86/1.34 | (17) ! [v0] : ! [v1] : ! [v2] : (v2 = v1 | ~ rf3(v0, v2) | ~ rf3(v0, v1)) % 3.12/1.34 | (18) ! [v0] : ! [v1] : ( ~ ra_Px1(v0, v1) | ~ cp1(v0)) % 3.12/1.34 | % 3.12/1.34 | Instantiating formula (9) with i2003_11_14_17_20_57644 and discharging atoms cUnsatisfiable(i2003_11_14_17_20_57644), yields: % 3.12/1.34 | (19) ? [v0] : (rf3(i2003_11_14_17_20_57644, v0) & cp2(v0)) % 3.12/1.34 | % 3.12/1.34 | Instantiating formula (13) with i2003_11_14_17_20_57644 and discharging atoms cUnsatisfiable(i2003_11_14_17_20_57644), yields: % 3.12/1.34 | (20) ? [v0] : (rf2(i2003_11_14_17_20_57644, v0) & cp1xcomp(v0)) % 3.12/1.34 | % 3.12/1.34 | Instantiating formula (8) with i2003_11_14_17_20_57644 and discharging atoms cUnsatisfiable(i2003_11_14_17_20_57644), yields: % 3.12/1.34 | (21) ? [v0] : (rf1(i2003_11_14_17_20_57644, v0) & cp1(v0)) % 3.12/1.34 | % 3.12/1.34 | Instantiating (21) with all_11_0_3 yields: % 3.12/1.34 | (22) rf1(i2003_11_14_17_20_57644, all_11_0_3) & cp1(all_11_0_3) % 3.12/1.34 | % 3.12/1.34 | Applying alpha-rule on (22) yields: % 3.12/1.34 | (23) rf1(i2003_11_14_17_20_57644, all_11_0_3) % 3.12/1.34 | (24) cp1(all_11_0_3) % 3.12/1.34 | % 3.12/1.34 | Instantiating (20) with all_13_0_4 yields: % 3.12/1.34 | (25) rf2(i2003_11_14_17_20_57644, all_13_0_4) & cp1xcomp(all_13_0_4) % 3.12/1.34 | % 3.12/1.34 | Applying alpha-rule on (25) yields: % 3.12/1.34 | (26) rf2(i2003_11_14_17_20_57644, all_13_0_4) % 3.12/1.34 | (27) cp1xcomp(all_13_0_4) % 3.12/1.34 | % 3.12/1.34 | Instantiating (19) with all_15_0_5 yields: % 3.12/1.34 | (28) rf3(i2003_11_14_17_20_57644, all_15_0_5) & cp2(all_15_0_5) % 3.12/1.34 | % 3.12/1.34 | Applying alpha-rule on (28) yields: % 3.12/1.34 | (29) rf3(i2003_11_14_17_20_57644, all_15_0_5) % 3.12/1.34 | (30) cp2(all_15_0_5) % 3.12/1.34 | % 3.12/1.34 | Instantiating formula (5) with all_15_0_5, i2003_11_14_17_20_57644 and discharging atoms rf3(i2003_11_14_17_20_57644, all_15_0_5), yields: % 3.12/1.34 | (31) rf2(i2003_11_14_17_20_57644, all_15_0_5) % 3.12/1.34 | % 3.12/1.34 | Instantiating formula (3) with all_15_0_5, i2003_11_14_17_20_57644 and discharging atoms rf3(i2003_11_14_17_20_57644, all_15_0_5), yields: % 3.12/1.34 | (32) rf1(i2003_11_14_17_20_57644, all_15_0_5) % 3.12/1.34 | % 3.12/1.34 | Instantiating formula (15) with all_13_0_4 and discharging atoms cp1xcomp(all_13_0_4), yields: % 3.12/1.35 | (33) ? [v0] : ra_Px1(all_13_0_4, v0) % 3.12/1.35 | % 3.12/1.35 | Instantiating (33) with all_23_0_6 yields: % 3.12/1.35 | (34) ra_Px1(all_13_0_4, all_23_0_6) % 3.12/1.35 | % 3.12/1.35 | Instantiating formula (14) with all_15_0_5, all_13_0_4, i2003_11_14_17_20_57644 and discharging atoms rf2(i2003_11_14_17_20_57644, all_15_0_5), rf2(i2003_11_14_17_20_57644, all_13_0_4), yields: % 3.12/1.35 | (35) all_15_0_5 = all_13_0_4 % 3.12/1.35 | % 3.12/1.35 | Instantiating formula (16) with all_15_0_5, all_11_0_3, i2003_11_14_17_20_57644 and discharging atoms rf1(i2003_11_14_17_20_57644, all_15_0_5), rf1(i2003_11_14_17_20_57644, all_11_0_3), yields: % 3.12/1.35 | (36) all_15_0_5 = all_11_0_3 % 3.12/1.35 | % 3.12/1.35 | Combining equations (35,36) yields a new equation: % 3.12/1.35 | (37) all_13_0_4 = all_11_0_3 % 3.12/1.35 | % 3.12/1.35 | Simplifying 37 yields: % 3.12/1.35 | (38) all_13_0_4 = all_11_0_3 % 3.12/1.35 | % 3.12/1.35 | From (38) and (34) follows: % 3.12/1.35 | (39) ra_Px1(all_11_0_3, all_23_0_6) % 3.12/1.35 | % 3.12/1.35 | Instantiating formula (18) with all_23_0_6, all_11_0_3 and discharging atoms ra_Px1(all_11_0_3, all_23_0_6), cp1(all_11_0_3), yields: % 3.12/1.35 | (40) $false % 3.12/1.35 | % 3.12/1.35 |-The branch is then unsatisfiable % 3.12/1.35 % SZS output end Proof for theBenchmark % 3.12/1.35 % 3.12/1.35 759ms %------------------------------------------------------------------------------