%------------------------------------------------------------------------------ % File : ePrincess---1.0 % Problem : PUZ001+1 : TPTP v8.1.0. Released v2.0.0. % Transfm : none % Format : tptp:raw % Command : ePrincess-casc -timeout=%d %s % Computer : n027.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 : Mon Jul 18 18:08:49 EDT 2022 % Result : Theorem 8.83s 2.89s % Output : Proof 12.97s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.11 % Problem : PUZ001+1 : TPTP v8.1.0. Released v2.0.0. % 0.00/0.12 % Command : ePrincess-casc -timeout=%d %s % 0.12/0.33 % Computer : n027.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 : Sat May 28 22:34:14 EDT 2022 % 0.12/0.33 % CPUTime : % 0.57/0.61 ____ _ % 0.57/0.61 ___ / __ \_____(_)___ ________ __________ % 0.57/0.61 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/ % 0.57/0.61 / __/ ____/ / / / / / / /__/ __(__ |__ ) % 0.57/0.61 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/ % 0.57/0.61 % 0.57/0.61 A Theorem Prover for First-Order Logic % 0.57/0.61 (ePrincess v.1.0) % 0.57/0.61 % 0.57/0.61 (c) Philipp Rümmer, 2009-2015 % 0.57/0.61 (c) Peter Backeman, 2014-2015 % 0.57/0.61 (contributions by Angelo Brillout, Peter Baumgartner) % 0.57/0.61 Free software under GNU Lesser General Public License (LGPL). % 0.57/0.61 Bug reports to peter@backeman.se % 0.57/0.61 % 0.57/0.61 For more information, visit http://user.uu.se/~petba168/breu/ % 0.57/0.61 % 0.57/0.61 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ... % 0.72/0.66 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all % 1.40/0.92 Prover 0: Preprocessing ... % 1.53/0.99 Prover 0: Warning: ignoring some quantifiers % 1.53/1.01 Prover 0: Constructing countermodel ... % 1.87/1.16 Prover 0: gave up % 1.87/1.16 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -resolutionMethod=normal +ignoreQuantifiers -generateTriggers=all % 2.14/1.18 Prover 1: Preprocessing ... % 2.37/1.25 Prover 1: Warning: ignoring some quantifiers % 2.37/1.26 Prover 1: Constructing countermodel ... % 2.68/1.34 Prover 1: gave up % 2.68/1.34 Prover 2: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all % 2.68/1.36 Prover 2: Preprocessing ... % 2.98/1.41 Prover 2: Warning: ignoring some quantifiers % 2.98/1.41 Prover 2: Constructing countermodel ... % 3.19/1.52 Prover 2: gave up % 3.19/1.52 Prover 3: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all % 3.19/1.53 Prover 3: Preprocessing ... % 3.19/1.54 Prover 3: Warning: ignoring some quantifiers % 3.19/1.54 Prover 3: Constructing countermodel ... % 3.57/1.58 Prover 3: gave up % 3.57/1.58 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=complete % 3.57/1.59 Prover 4: Preprocessing ... % 3.85/1.63 Prover 4: Warning: ignoring some quantifiers % 3.85/1.64 Prover 4: Constructing countermodel ... % 4.30/1.79 Prover 4: gave up % 4.30/1.79 Prover 5: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allMinimal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all % 4.30/1.80 Prover 5: Preprocessing ... % 4.68/1.82 Prover 5: Warning: ignoring some quantifiers % 4.68/1.83 Prover 5: Constructing countermodel ... % 5.02/1.90 Prover 5: gave up % 5.02/1.90 Prover 6: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -resolutionMethod=normal +ignoreQuantifiers -generateTriggers=all % 5.09/1.91 Prover 6: Preprocessing ... % 5.16/1.93 Prover 6: Warning: ignoring some quantifiers % 5.16/1.93 Prover 6: Constructing countermodel ... % 5.16/1.99 Prover 6: gave up % 5.16/1.99 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximalOutermost -resolutionMethod=normal -ignoreQuantifiers -generateTriggers=all % 5.16/2.00 Prover 7: Preprocessing ... % 5.16/2.01 Prover 7: Proving ... % 8.83/2.89 Prover 7: proved (902ms) % 8.83/2.89 % 8.83/2.89 % SZS status Theorem for theBenchmark % 8.83/2.89 % 8.83/2.89 Generating proof ... found it (size 52) % 12.97/4.17 % 12.97/4.17 % SZS output start Proof for theBenchmark % 12.97/4.17 Assumed formulas after preprocessing and simplification: % 12.97/4.17 | (0) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = v1) & lives(v2) & lives(v1) & lives(v0) & ~ killed(v2, v2) & ! [v3] : ! [v4] : ( ~ richer(v3, v4) | ~ killed(v3, v4)) & ! [v3] : ! [v4] : ( ~ killed(v3, v4) | hates(v3, v4)) & ! [v3] : (v3 = v2 | v3 = v1 | v3 = v0 | ~ lives(v3)) & ! [v3] : (v3 = v1 | hates(v2, v3)) & ! [v3] : ( ~ hates(v2, v3) | ~ hates(v0, v3)) & ! [v3] : ( ~ hates(v2, v3) | hates(v1, v3)) & ! [v3] : (richer(v3, v2) | hates(v1, v3)) & ! [v3] : ? [v4] : ~ hates(v3, v4) & ? [v3] : (killed(v3, v2) & lives(v3))) % 12.97/4.17 | Instantiating (0) with all_0_0_0, all_0_1_1, all_0_2_2 yields: % 12.97/4.17 | (1) ~ (all_0_0_0 = all_0_1_1) & lives(all_0_0_0) & lives(all_0_1_1) & lives(all_0_2_2) & ~ killed(all_0_0_0, all_0_0_0) & ! [v0] : ! [v1] : ( ~ richer(v0, v1) | ~ killed(v0, v1)) & ! [v0] : ! [v1] : ( ~ killed(v0, v1) | hates(v0, v1)) & ! [v0] : (v0 = all_0_0_0 | v0 = all_0_1_1 | v0 = all_0_2_2 | ~ lives(v0)) & ! [v0] : (v0 = all_0_1_1 | hates(all_0_0_0, v0)) & ! [v0] : ( ~ hates(all_0_0_0, v0) | ~ hates(all_0_2_2, v0)) & ! [v0] : ( ~ hates(all_0_0_0, v0) | hates(all_0_1_1, v0)) & ! [v0] : (richer(v0, all_0_0_0) | hates(all_0_1_1, v0)) & ! [v0] : ? [v1] : ~ hates(v0, v1) & ? [v0] : (killed(v0, all_0_0_0) & lives(v0)) % 12.97/4.17 | % 12.97/4.17 | Applying alpha-rule on (1) yields: % 12.97/4.17 | (2) ! [v0] : ( ~ hates(all_0_0_0, v0) | ~ hates(all_0_2_2, v0)) % 12.97/4.17 | (3) ! [v0] : ? [v1] : ~ hates(v0, v1) % 12.97/4.17 | (4) ! [v0] : (v0 = all_0_1_1 | hates(all_0_0_0, v0)) % 12.97/4.17 | (5) ! [v0] : ! [v1] : ( ~ richer(v0, v1) | ~ killed(v0, v1)) % 12.97/4.17 | (6) ! [v0] : (v0 = all_0_0_0 | v0 = all_0_1_1 | v0 = all_0_2_2 | ~ lives(v0)) % 12.97/4.17 | (7) lives(all_0_1_1) % 12.97/4.17 | (8) ! [v0] : ! [v1] : ( ~ killed(v0, v1) | hates(v0, v1)) % 12.97/4.17 | (9) ~ (all_0_0_0 = all_0_1_1) % 12.97/4.17 | (10) ! [v0] : (richer(v0, all_0_0_0) | hates(all_0_1_1, v0)) % 12.97/4.17 | (11) ? [v0] : (killed(v0, all_0_0_0) & lives(v0)) % 12.97/4.17 | (12) lives(all_0_0_0) % 12.97/4.17 | (13) lives(all_0_2_2) % 12.97/4.17 | (14) ! [v0] : ( ~ hates(all_0_0_0, v0) | hates(all_0_1_1, v0)) % 12.97/4.17 | (15) ~ killed(all_0_0_0, all_0_0_0) % 12.97/4.17 | % 12.97/4.17 | Instantiating (11) with all_3_0_3 yields: % 12.97/4.17 | (16) killed(all_3_0_3, all_0_0_0) & lives(all_3_0_3) % 12.97/4.17 | % 12.97/4.17 | Applying alpha-rule on (16) yields: % 12.97/4.17 | (17) killed(all_3_0_3, all_0_0_0) % 12.97/4.17 | (18) lives(all_3_0_3) % 12.97/4.17 | % 12.97/4.17 | Instantiating formula (6) with all_3_0_3 and discharging atoms lives(all_3_0_3), yields: % 12.97/4.17 | (19) all_3_0_3 = all_0_0_0 | all_3_0_3 = all_0_1_1 | all_3_0_3 = all_0_2_2 % 12.97/4.18 | % 12.97/4.18 | Instantiating formula (8) with all_0_0_0, all_3_0_3 and discharging atoms killed(all_3_0_3, all_0_0_0), yields: % 12.97/4.18 | (20) hates(all_3_0_3, all_0_0_0) % 12.97/4.18 | % 12.97/4.18 | Instantiating formula (14) with all_0_0_0 yields: % 12.97/4.18 | (21) ~ hates(all_0_0_0, all_0_0_0) | hates(all_0_1_1, all_0_0_0) % 12.97/4.18 | % 12.97/4.18 +-Applying beta-rule and splitting (21), into two cases. % 12.97/4.18 |-Branch one: % 12.97/4.18 | (22) ~ hates(all_0_0_0, all_0_0_0) % 12.97/4.18 | % 12.97/4.18 | Introducing new symbol ex_38_0_4 defined by: % 12.97/4.18 | (23) ex_38_0_4 = all_0_0_0 % 12.97/4.18 | % 12.97/4.18 | Instantiating formula (4) with ex_38_0_4 yields: % 12.97/4.18 | (24) ex_38_0_4 = all_0_1_1 | hates(all_0_0_0, ex_38_0_4) % 12.97/4.18 | % 12.97/4.18 +-Applying beta-rule and splitting (24), into two cases. % 12.97/4.18 |-Branch one: % 12.97/4.18 | (25) hates(all_0_0_0, ex_38_0_4) % 12.97/4.18 | % 12.97/4.18 | From (23) and (25) follows: % 12.97/4.18 | (26) hates(all_0_0_0, all_0_0_0) % 12.97/4.18 | % 12.97/4.18 | Using (26) and (22) yields: % 12.97/4.18 | (27) $false % 12.97/4.18 | % 12.97/4.18 |-The branch is then unsatisfiable % 12.97/4.18 |-Branch two: % 12.97/4.18 | (28) ex_38_0_4 = all_0_1_1 % 12.97/4.18 | % 12.97/4.18 | Combining equations (23,28) yields a new equation: % 12.97/4.18 | (29) all_0_0_0 = all_0_1_1 % 12.97/4.18 | % 12.97/4.18 | Simplifying 29 yields: % 12.97/4.18 | (30) all_0_0_0 = all_0_1_1 % 12.97/4.18 | % 12.97/4.18 | Equations (30) can reduce 9 to: % 12.97/4.18 | (31) $false % 12.97/4.18 | % 12.97/4.18 |-The branch is then unsatisfiable % 12.97/4.18 |-Branch two: % 12.97/4.18 | (26) hates(all_0_0_0, all_0_0_0) % 12.97/4.18 | (33) hates(all_0_1_1, all_0_0_0) % 12.97/4.18 | % 12.97/4.18 | Instantiating formula (2) with all_0_0_0 and discharging atoms hates(all_0_0_0, all_0_0_0), yields: % 12.97/4.18 | (34) ~ hates(all_0_2_2, all_0_0_0) % 12.97/4.18 | % 12.97/4.18 +-Applying beta-rule and splitting (19), into two cases. % 12.97/4.18 |-Branch one: % 12.97/4.18 | (35) all_3_0_3 = all_0_0_0 % 12.97/4.18 | % 12.97/4.18 | From (35) and (17) follows: % 12.97/4.18 | (36) killed(all_0_0_0, all_0_0_0) % 12.97/4.18 | % 12.97/4.18 | Using (36) and (15) yields: % 12.97/4.18 | (27) $false % 12.97/4.18 | % 12.97/4.18 |-The branch is then unsatisfiable % 12.97/4.18 |-Branch two: % 12.97/4.18 | (38) all_3_0_3 = all_0_1_1 | all_3_0_3 = all_0_2_2 % 12.97/4.18 | % 12.97/4.18 +-Applying beta-rule and splitting (38), into two cases. % 12.97/4.18 |-Branch one: % 12.97/4.18 | (39) all_3_0_3 = all_0_1_1 % 12.97/4.18 | % 12.97/4.18 | From (39) and (17) follows: % 12.97/4.18 | (40) killed(all_0_1_1, all_0_0_0) % 12.97/4.18 | % 12.97/4.18 | Introducing new symbol ex_74_0_11 defined by: % 12.97/4.18 | (41) ex_74_0_11 = all_0_1_1 % 12.97/4.18 | % 12.97/4.18 | Instantiating formula (10) with ex_74_0_11 yields: % 12.97/4.18 | (42) richer(ex_74_0_11, all_0_0_0) | hates(all_0_1_1, ex_74_0_11) % 12.97/4.18 | % 12.97/4.18 +-Applying beta-rule and splitting (42), into two cases. % 12.97/4.18 |-Branch one: % 12.97/4.18 | (43) hates(all_0_1_1, ex_74_0_11) % 12.97/4.18 | % 12.97/4.18 | Introducing new symbol ex_83_0_12 defined by: % 12.97/4.18 | (44) ex_83_0_12 = all_0_1_1 % 12.97/4.18 | % 12.97/4.18 | Instantiating formula (3) with ex_83_0_12 yields: % 12.97/4.18 | (45) ? [v0] : ~ hates(ex_83_0_12, v0) % 12.97/4.18 | % 12.97/4.18 | Instantiating (45) with all_84_0_13 yields: % 12.97/4.18 | (46) ~ hates(ex_83_0_12, all_84_0_13) % 12.97/4.18 | % 12.97/4.18 | Introducing new symbol ex_92_0_14 defined by: % 12.97/4.18 | (47) ex_92_0_14 = all_84_0_13 % 12.97/4.18 | % 12.97/4.18 | Instantiating formula (4) with ex_92_0_14 yields: % 12.97/4.18 | (48) ex_92_0_14 = all_0_1_1 | hates(all_0_0_0, ex_92_0_14) % 12.97/4.18 | % 12.97/4.18 +-Applying beta-rule and splitting (48), into two cases. % 12.97/4.18 |-Branch one: % 12.97/4.18 | (49) hates(all_0_0_0, ex_92_0_14) % 12.97/4.18 | % 12.97/4.18 | Instantiating formula (14) with ex_92_0_14 and discharging atoms hates(all_0_0_0, ex_92_0_14), yields: % 12.97/4.18 | (50) hates(all_0_1_1, ex_92_0_14) % 12.97/4.18 | % 12.97/4.18 | From (47) and (50) follows: % 12.97/4.18 | (51) hates(all_0_1_1, all_84_0_13) % 12.97/4.18 | % 12.97/4.18 | From (44) and (46) follows: % 12.97/4.18 | (52) ~ hates(all_0_1_1, all_84_0_13) % 12.97/4.18 | % 12.97/4.18 | Using (51) and (52) yields: % 12.97/4.18 | (27) $false % 12.97/4.18 | % 12.97/4.18 |-The branch is then unsatisfiable % 12.97/4.18 |-Branch two: % 12.97/4.18 | (54) ex_92_0_14 = all_0_1_1 % 12.97/4.18 | % 12.97/4.18 | Combining equations (47,54) yields a new equation: % 12.97/4.18 | (55) all_84_0_13 = all_0_1_1 % 12.97/4.18 | % 12.97/4.18 | Simplifying 55 yields: % 12.97/4.18 | (56) all_84_0_13 = all_0_1_1 % 12.97/4.18 | % 12.97/4.18 | From (41) and (43) follows: % 12.97/4.18 | (57) hates(all_0_1_1, all_0_1_1) % 12.97/4.18 | % 12.97/4.18 | From (44)(56) and (46) follows: % 12.97/4.18 | (58) ~ hates(all_0_1_1, all_0_1_1) % 12.97/4.18 | % 12.97/4.18 | Using (57) and (58) yields: % 12.97/4.18 | (27) $false % 12.97/4.18 | % 12.97/4.18 |-The branch is then unsatisfiable % 12.97/4.18 |-Branch two: % 12.97/4.18 | (60) richer(ex_74_0_11, all_0_0_0) % 12.97/4.18 | % 12.97/4.18 | Instantiating formula (5) with all_0_0_0, all_0_1_1 and discharging atoms killed(all_0_1_1, all_0_0_0), yields: % 12.97/4.18 | (61) ~ richer(all_0_1_1, all_0_0_0) % 12.97/4.18 | % 12.97/4.18 | From (41) and (60) follows: % 12.97/4.18 | (62) richer(all_0_1_1, all_0_0_0) % 12.97/4.18 | % 12.97/4.18 | Using (62) and (61) yields: % 12.97/4.18 | (27) $false % 12.97/4.18 | % 12.97/4.18 |-The branch is then unsatisfiable % 12.97/4.18 |-Branch two: % 12.97/4.18 | (64) all_3_0_3 = all_0_2_2 % 12.97/4.18 | % 12.97/4.18 | From (64) and (20) follows: % 12.97/4.18 | (65) hates(all_0_2_2, all_0_0_0) % 12.97/4.18 | % 12.97/4.18 | Using (65) and (34) yields: % 12.97/4.18 | (27) $false % 12.97/4.18 | % 12.97/4.18 |-The branch is then unsatisfiable % 12.97/4.18 % SZS output end Proof for theBenchmark % 12.97/4.18 % 12.97/4.18 3563ms %------------------------------------------------------------------------------