%------------------------------------------------------------------------------ % File : ePrincess---1.0 % Problem : SET632+3 : TPTP v8.1.0. Released v2.2.0. % Transfm : none % Format : tptp:raw % Command : ePrincess-casc -timeout=%d %s % Computer : n004.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 : Tue Jul 19 00:21:02 EDT 2022 % Result : Theorem 61.57s 23.40s % Output : Proof 131.10s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.13 % Problem : SET632+3 : TPTP v8.1.0. Released v2.2.0. % 0.07/0.13 % Command : ePrincess-casc -timeout=%d %s % 0.13/0.34 % Computer : n004.cluster.edu % 0.13/0.34 % Model : x86_64 x86_64 % 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.34 % Memory : 8042.1875MB % 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.34 % CPULimit : 300 % 0.13/0.34 % WCLimit : 600 % 0.13/0.34 % DateTime : Sun Jul 10 13:12:07 EDT 2022 % 0.13/0.35 % CPUTime : % 0.19/0.59 ____ _ % 0.19/0.59 ___ / __ \_____(_)___ ________ __________ % 0.19/0.59 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/ % 0.19/0.59 / __/ ____/ / / / / / / /__/ __(__ |__ ) % 0.19/0.59 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/ % 0.19/0.59 % 0.19/0.59 A Theorem Prover for First-Order Logic % 0.19/0.59 (ePrincess v.1.0) % 0.19/0.59 % 0.19/0.59 (c) Philipp Rümmer, 2009-2015 % 0.19/0.59 (c) Peter Backeman, 2014-2015 % 0.19/0.59 (contributions by Angelo Brillout, Peter Baumgartner) % 0.19/0.59 Free software under GNU Lesser General Public License (LGPL). % 0.19/0.59 Bug reports to peter@backeman.se % 0.19/0.59 % 0.19/0.59 For more information, visit http://user.uu.se/~petba168/breu/ % 0.19/0.59 % 0.19/0.59 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ... % 0.68/0.64 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all % 1.35/0.92 Prover 0: Preprocessing ... % 1.57/1.02 Prover 0: Warning: ignoring some quantifiers % 1.57/1.04 Prover 0: Constructing countermodel ... % 5.36/2.02 Prover 0: gave up % 5.36/2.03 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -resolutionMethod=normal +ignoreQuantifiers -generateTriggers=all % 5.36/2.04 Prover 1: Preprocessing ... % 5.85/2.11 Prover 1: Constructing countermodel ... % 6.12/2.14 Prover 1: gave up % 6.12/2.14 Prover 2: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all % 6.12/2.15 Prover 2: Preprocessing ... % 6.12/2.20 Prover 2: Warning: ignoring some quantifiers % 6.12/2.20 Prover 2: Constructing countermodel ... % 6.50/2.24 Prover 2: gave up % 6.50/2.24 Prover 3: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all % 6.50/2.25 Prover 3: Preprocessing ... % 6.50/2.26 Prover 3: Warning: ignoring some quantifiers % 6.50/2.27 Prover 3: Constructing countermodel ... % 12.38/3.70 Prover 3: gave up % 12.38/3.70 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=complete % 12.76/3.71 Prover 4: Preprocessing ... % 12.76/3.77 Prover 4: Warning: ignoring some quantifiers % 12.76/3.77 Prover 4: Constructing countermodel ... % 14.10/4.03 Prover 4: gave up % 14.10/4.03 Prover 5: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allMinimal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all % 14.10/4.04 Prover 5: Preprocessing ... % 14.10/4.07 Prover 5: Constructing countermodel ... % 14.51/4.10 Prover 5: gave up % 14.51/4.10 Prover 6: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -resolutionMethod=normal +ignoreQuantifiers -generateTriggers=all % 14.51/4.11 Prover 6: Preprocessing ... % 14.51/4.14 Prover 6: Warning: ignoring some quantifiers % 14.51/4.14 Prover 6: Constructing countermodel ... % 14.51/4.17 Prover 6: gave up % 14.51/4.17 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximalOutermost -resolutionMethod=normal -ignoreQuantifiers -generateTriggers=all % 14.51/4.18 Prover 7: Preprocessing ... % 14.95/4.19 Prover 7: Proving ... % 41.22/13.98 Prover 8: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -resolutionMethod=normal -ignoreQuantifiers -generateTriggers=all % 41.43/14.00 Prover 8: Preprocessing ... % 41.43/14.04 Prover 8: Constructing countermodel ... % 41.43/14.07 Prover 8: gave up % 41.43/14.07 Prover 9: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimal -resolutionMethod=normal -ignoreQuantifiers -generateTriggers=completeFrugal % 41.86/14.09 Prover 9: Preprocessing ... % 41.86/14.10 Prover 9: Proving ... % 61.57/23.40 Prover 9: proved (9322ms) % 61.57/23.40 Prover 7: stopped % 61.57/23.40 % 61.57/23.40 % SZS status Theorem for theBenchmark % 61.57/23.40 % 61.57/23.40 Generating proof ... found it (size 44) % 130.66/82.00 % 130.66/82.00 % SZS output start Proof for theBenchmark % 130.66/82.00 Assumed formulas after preprocessing and simplification: % 130.66/82.00 | (0) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ( ~ (v1 = v0) & disjoint(v2, v3) & subset(v1, v3) & subset(v1, v2) & ! [v4] : ! [v5] : ! [v6] : ( ~ member(v6, v5) | ~ member(v6, v4) | intersect(v4, v5)) & ! [v4] : ! [v5] : ! [v6] : ( ~ member(v6, v4) | ~ subset(v4, v5) | member(v6, v5)) & ! [v4] : ! [v5] : (v5 = v4 | ~ subset(v5, v4) | ~ subset(v4, v5)) & ! [v4] : ! [v5] : ( ~ empty(v4) | ~ member(v5, v4)) & ! [v4] : ! [v5] : ( ~ disjoint(v4, v5) | ~ intersect(v4, v5)) & ! [v4] : ! [v5] : ( ~ intersect(v4, v5) | intersect(v5, v4)) & ! [v4] : ! [v5] : ( ~ intersect(v4, v5) | ? [v6] : (member(v6, v5) & member(v6, v4))) & ! [v4] : ! [v5] : (disjoint(v4, v5) | intersect(v4, v5)) & ! [v4] : ! [v5] : (subset(v4, v5) | ? [v6] : (member(v6, v4) & ~ member(v6, v5))) & ! [v4] : ~ member(v4, v0) & ! [v4] : (empty(v4) | ? [v5] : member(v5, v4)) & ! [v4] : subset(v4, v4)) % 130.66/82.00 | Instantiating (0) with all_0_0_0, all_0_1_1, all_0_2_2, all_0_3_3 yields: % 130.66/82.00 | (1) ~ (all_0_2_2 = all_0_3_3) & disjoint(all_0_1_1, all_0_0_0) & subset(all_0_2_2, all_0_0_0) & subset(all_0_2_2, all_0_1_1) & ! [v0] : ! [v1] : ! [v2] : ( ~ member(v2, v1) | ~ member(v2, v0) | intersect(v0, v1)) & ! [v0] : ! [v1] : ! [v2] : ( ~ member(v2, v0) | ~ subset(v0, v1) | member(v2, v1)) & ! [v0] : ! [v1] : (v1 = v0 | ~ subset(v1, v0) | ~ subset(v0, v1)) & ! [v0] : ! [v1] : ( ~ empty(v0) | ~ member(v1, v0)) & ! [v0] : ! [v1] : ( ~ disjoint(v0, v1) | ~ intersect(v0, v1)) & ! [v0] : ! [v1] : ( ~ intersect(v0, v1) | intersect(v1, v0)) & ! [v0] : ! [v1] : ( ~ intersect(v0, v1) | ? [v2] : (member(v2, v1) & member(v2, v0))) & ! [v0] : ! [v1] : (disjoint(v0, v1) | intersect(v0, v1)) & ! [v0] : ! [v1] : (subset(v0, v1) | ? [v2] : (member(v2, v0) & ~ member(v2, v1))) & ! [v0] : ~ member(v0, all_0_3_3) & ! [v0] : (empty(v0) | ? [v1] : member(v1, v0)) & ! [v0] : subset(v0, v0) % 130.66/82.00 | % 130.66/82.00 | Applying alpha-rule on (1) yields: % 130.66/82.00 | (2) ~ (all_0_2_2 = all_0_3_3) % 130.66/82.00 | (3) subset(all_0_2_2, all_0_1_1) % 130.66/82.00 | (4) ! [v0] : (empty(v0) | ? [v1] : member(v1, v0)) % 130.66/82.00 | (5) ! [v0] : ! [v1] : ! [v2] : ( ~ member(v2, v1) | ~ member(v2, v0) | intersect(v0, v1)) % 130.66/82.01 | (6) ! [v0] : ! [v1] : (disjoint(v0, v1) | intersect(v0, v1)) % 130.66/82.01 | (7) ! [v0] : ! [v1] : ( ~ intersect(v0, v1) | intersect(v1, v0)) % 130.66/82.01 | (8) ! [v0] : ! [v1] : ( ~ intersect(v0, v1) | ? [v2] : (member(v2, v1) & member(v2, v0))) % 130.66/82.01 | (9) disjoint(all_0_1_1, all_0_0_0) % 130.66/82.01 | (10) ! [v0] : ! [v1] : (subset(v0, v1) | ? [v2] : (member(v2, v0) & ~ member(v2, v1))) % 130.66/82.01 | (11) ! [v0] : ~ member(v0, all_0_3_3) % 130.66/82.01 | (12) ! [v0] : ! [v1] : ! [v2] : ( ~ member(v2, v0) | ~ subset(v0, v1) | member(v2, v1)) % 130.66/82.01 | (13) ! [v0] : ! [v1] : (v1 = v0 | ~ subset(v1, v0) | ~ subset(v0, v1)) % 130.66/82.01 | (14) ! [v0] : ! [v1] : ( ~ disjoint(v0, v1) | ~ intersect(v0, v1)) % 130.66/82.01 | (15) subset(all_0_2_2, all_0_0_0) % 131.10/82.01 | (16) ! [v0] : subset(v0, v0) % 131.10/82.01 | (17) ! [v0] : ! [v1] : ( ~ empty(v0) | ~ member(v1, v0)) % 131.10/82.01 | % 131.10/82.01 | Introducing new symbol ex_27_1_9 defined by: % 131.10/82.01 | (18) ex_27_1_9 = all_0_2_2 % 131.10/82.01 | % 131.10/82.01 | Introducing new symbol ex_27_0_8 defined by: % 131.10/82.01 | (19) ex_27_0_8 = all_0_3_3 % 131.10/82.01 | % 131.10/82.01 | Instantiating formula (10) with ex_27_0_8, ex_27_1_9 yields: % 131.10/82.01 | (20) subset(ex_27_1_9, ex_27_0_8) | ? [v0] : (member(v0, ex_27_1_9) & ~ member(v0, ex_27_0_8)) % 131.10/82.01 | % 131.10/82.01 +-Applying beta-rule and splitting (20), into two cases. % 131.10/82.01 |-Branch one: % 131.10/82.01 | (21) subset(ex_27_1_9, ex_27_0_8) % 131.10/82.01 | % 131.10/82.01 | Introducing new symbol ex_76_1_122 defined by: % 131.10/82.01 | (22) ex_76_1_122 = all_0_3_3 % 131.10/82.01 | % 131.10/82.01 | Introducing new symbol ex_76_0_121 defined by: % 131.10/82.01 | (23) ex_76_0_121 = all_0_2_2 % 131.10/82.01 | % 131.10/82.01 | Instantiating formula (10) with ex_76_0_121, ex_76_1_122 yields: % 131.10/82.01 | (24) subset(ex_76_1_122, ex_76_0_121) | ? [v0] : (member(v0, ex_76_1_122) & ~ member(v0, ex_76_0_121)) % 131.10/82.01 | % 131.10/82.01 +-Applying beta-rule and splitting (24), into two cases. % 131.10/82.01 |-Branch one: % 131.10/82.01 | (25) subset(ex_76_1_122, ex_76_0_121) % 131.10/82.01 | % 131.10/82.01 | Instantiating formula (13) with ex_27_0_8, ex_27_1_9 and discharging atoms subset(ex_27_1_9, ex_27_0_8), yields: % 131.10/82.01 | (26) ex_27_0_8 = ex_27_1_9 | ~ subset(ex_27_0_8, ex_27_1_9) % 131.10/82.01 | % 131.10/82.01 +-Applying beta-rule and splitting (26), into two cases. % 131.10/82.01 |-Branch one: % 131.10/82.01 | (27) ~ subset(ex_27_0_8, ex_27_1_9) % 131.10/82.01 | % 131.10/82.01 | From (22)(23) and (25) follows: % 131.10/82.01 | (28) subset(all_0_3_3, all_0_2_2) % 131.10/82.01 | % 131.10/82.01 | From (19)(18) and (27) follows: % 131.10/82.01 | (29) ~ subset(all_0_3_3, all_0_2_2) % 131.10/82.01 | % 131.10/82.01 | Using (28) and (29) yields: % 131.10/82.01 | (30) $false % 131.10/82.01 | % 131.10/82.01 |-The branch is then unsatisfiable % 131.10/82.01 |-Branch two: % 131.10/82.01 | (31) ex_27_0_8 = ex_27_1_9 % 131.10/82.01 | % 131.10/82.01 | Combining equations (31,19) yields a new equation: % 131.10/82.01 | (32) ex_27_1_9 = all_0_3_3 % 131.10/82.01 | % 131.10/82.01 | Simplifying 32 yields: % 131.10/82.01 | (33) ex_27_1_9 = all_0_3_3 % 131.10/82.01 | % 131.10/82.01 | Combining equations (33,18) yields a new equation: % 131.10/82.01 | (34) all_0_2_2 = all_0_3_3 % 131.10/82.01 | % 131.10/82.01 | Equations (34) can reduce 2 to: % 131.10/82.01 | (35) $false % 131.10/82.01 | % 131.10/82.01 |-The branch is then unsatisfiable % 131.10/82.01 |-Branch two: % 131.10/82.01 | (36) ? [v0] : (member(v0, ex_76_1_122) & ~ member(v0, ex_76_0_121)) % 131.10/82.01 | % 131.10/82.01 | Instantiating (36) with all_78_0_131 yields: % 131.10/82.01 | (37) member(all_78_0_131, ex_76_1_122) & ~ member(all_78_0_131, ex_76_0_121) % 131.10/82.01 | % 131.10/82.01 | Applying alpha-rule on (37) yields: % 131.10/82.01 | (38) member(all_78_0_131, ex_76_1_122) % 131.10/82.01 | (39) ~ member(all_78_0_131, ex_76_0_121) % 131.10/82.01 | % 131.10/82.01 | Instantiating formula (5) with all_78_0_131, ex_76_1_122, ex_76_1_122 and discharging atoms member(all_78_0_131, ex_76_1_122), yields: % 131.10/82.01 | (40) intersect(ex_76_1_122, ex_76_1_122) % 131.10/82.01 | % 131.10/82.01 | Instantiating formula (8) with ex_76_1_122, ex_76_1_122 and discharging atoms intersect(ex_76_1_122, ex_76_1_122), yields: % 131.10/82.01 | (41) ? [v0] : member(v0, ex_76_1_122) % 131.10/82.01 | % 131.10/82.01 | Instantiating (41) with all_95_0_150 yields: % 131.10/82.01 | (42) member(all_95_0_150, ex_76_1_122) % 131.10/82.01 | % 131.10/82.01 | Instantiating formula (11) with all_95_0_150 yields: % 131.10/82.01 | (43) ~ member(all_95_0_150, all_0_3_3) % 131.10/82.01 | % 131.10/82.01 | From (22) and (42) follows: % 131.10/82.01 | (44) member(all_95_0_150, all_0_3_3) % 131.10/82.01 | % 131.10/82.01 | Using (44) and (43) yields: % 131.10/82.01 | (30) $false % 131.10/82.01 | % 131.10/82.01 |-The branch is then unsatisfiable % 131.10/82.01 |-Branch two: % 131.10/82.01 | (46) ? [v0] : (member(v0, ex_27_1_9) & ~ member(v0, ex_27_0_8)) % 131.10/82.01 | % 131.10/82.01 | Instantiating (46) with all_29_0_10 yields: % 131.10/82.01 | (47) member(all_29_0_10, ex_27_1_9) & ~ member(all_29_0_10, ex_27_0_8) % 131.10/82.01 | % 131.10/82.01 | Applying alpha-rule on (47) yields: % 131.10/82.01 | (48) member(all_29_0_10, ex_27_1_9) % 131.10/82.01 | (49) ~ member(all_29_0_10, ex_27_0_8) % 131.10/82.01 | % 131.10/82.01 | Instantiating formula (12) with all_29_0_10, all_0_0_0, all_0_2_2 and discharging atoms subset(all_0_2_2, all_0_0_0), yields: % 131.10/82.02 | (50) ~ member(all_29_0_10, all_0_2_2) | member(all_29_0_10, all_0_0_0) % 131.10/82.02 | % 131.10/82.02 | Instantiating formula (12) with all_29_0_10, all_0_1_1, all_0_2_2 and discharging atoms subset(all_0_2_2, all_0_1_1), yields: % 131.10/82.02 | (51) ~ member(all_29_0_10, all_0_2_2) | member(all_29_0_10, all_0_1_1) % 131.10/82.02 | % 131.10/82.02 +-Applying beta-rule and splitting (50), into two cases. % 131.10/82.02 |-Branch one: % 131.10/82.02 | (52) ~ member(all_29_0_10, all_0_2_2) % 131.10/82.02 | % 131.10/82.02 | From (18) and (48) follows: % 131.10/82.02 | (53) member(all_29_0_10, all_0_2_2) % 131.10/82.02 | % 131.10/82.02 | Using (53) and (52) yields: % 131.10/82.02 | (30) $false % 131.10/82.02 | % 131.10/82.02 |-The branch is then unsatisfiable % 131.10/82.02 |-Branch two: % 131.10/82.02 | (53) member(all_29_0_10, all_0_2_2) % 131.10/82.02 | (56) member(all_29_0_10, all_0_0_0) % 131.10/82.02 | % 131.10/82.02 | Instantiating formula (14) with all_0_0_0, all_0_1_1 and discharging atoms disjoint(all_0_1_1, all_0_0_0), yields: % 131.10/82.02 | (57) ~ intersect(all_0_1_1, all_0_0_0) % 131.10/82.02 | % 131.10/82.02 +-Applying beta-rule and splitting (51), into two cases. % 131.10/82.02 |-Branch one: % 131.10/82.02 | (52) ~ member(all_29_0_10, all_0_2_2) % 131.10/82.02 | % 131.10/82.02 | Using (53) and (52) yields: % 131.10/82.02 | (30) $false % 131.10/82.02 | % 131.10/82.02 |-The branch is then unsatisfiable % 131.10/82.02 |-Branch two: % 131.10/82.02 | (60) member(all_29_0_10, all_0_1_1) % 131.10/82.02 | % 131.10/82.02 | Instantiating formula (5) with all_29_0_10, all_0_0_0, all_0_1_1 and discharging atoms member(all_29_0_10, all_0_0_0), member(all_29_0_10, all_0_1_1), ~ intersect(all_0_1_1, all_0_0_0), yields: % 131.10/82.02 | (30) $false % 131.10/82.02 | % 131.10/82.02 |-The branch is then unsatisfiable % 131.10/82.02 % SZS output end Proof for theBenchmark % 131.10/82.02 % 131.10/82.02 81416ms %------------------------------------------------------------------------------