%------------------------------------------------------------------------------ % File : ePrincess---1.0 % Problem : SEU186+1 : TPTP v8.1.0. Released v3.3.0. % Transfm : none % Format : tptp:raw % Command : ePrincess-casc -timeout=%d %s % Computer : n013.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 08:47:26 EDT 2022 % Result : Theorem 13.42s 3.88s % Output : Proof 17.02s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.12 % Problem : SEU186+1 : TPTP v8.1.0. Released v3.3.0. % 0.03/0.12 % Command : ePrincess-casc -timeout=%d %s % 0.13/0.33 % Computer : n013.cluster.edu % 0.13/0.33 % Model : x86_64 x86_64 % 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.33 % Memory : 8042.1875MB % 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.33 % CPULimit : 300 % 0.13/0.33 % WCLimit : 600 % 0.13/0.33 % DateTime : Sun Jun 19 15:15:14 EDT 2022 % 0.13/0.33 % CPUTime : % 0.59/0.58 ____ _ % 0.59/0.58 ___ / __ \_____(_)___ ________ __________ % 0.59/0.58 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/ % 0.59/0.58 / __/ ____/ / / / / / / /__/ __(__ |__ ) % 0.59/0.58 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/ % 0.59/0.58 % 0.59/0.58 A Theorem Prover for First-Order Logic % 0.59/0.58 (ePrincess v.1.0) % 0.59/0.58 % 0.59/0.58 (c) Philipp Rümmer, 2009-2015 % 0.59/0.58 (c) Peter Backeman, 2014-2015 % 0.59/0.58 (contributions by Angelo Brillout, Peter Baumgartner) % 0.59/0.58 Free software under GNU Lesser General Public License (LGPL). % 0.59/0.58 Bug reports to peter@backeman.se % 0.59/0.58 % 0.59/0.58 For more information, visit http://user.uu.se/~petba168/breu/ % 0.59/0.58 % 0.59/0.58 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ... % 0.77/0.65 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all % 1.49/0.93 Prover 0: Preprocessing ... % 1.73/1.09 Prover 0: Warning: ignoring some quantifiers % 1.90/1.11 Prover 0: Constructing countermodel ... % 2.87/1.45 Prover 0: gave up % 2.87/1.45 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -resolutionMethod=normal +ignoreQuantifiers -generateTriggers=all % 3.24/1.47 Prover 1: Preprocessing ... % 3.51/1.53 Prover 1: Warning: ignoring some quantifiers % 3.51/1.54 Prover 1: Constructing countermodel ... % 3.51/1.61 Prover 1: gave up % 3.51/1.61 Prover 2: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all % 3.91/1.63 Prover 2: Preprocessing ... % 4.26/1.69 Prover 2: Warning: ignoring some quantifiers % 4.26/1.69 Prover 2: Constructing countermodel ... % 4.26/1.74 Prover 2: gave up % 4.26/1.74 Prover 3: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all % 4.26/1.76 Prover 3: Preprocessing ... % 4.26/1.77 Prover 3: Warning: ignoring some quantifiers % 4.26/1.78 Prover 3: Constructing countermodel ... % 4.75/1.80 Prover 3: gave up % 4.75/1.80 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=complete % 4.83/1.81 Prover 4: Preprocessing ... % 4.83/1.86 Prover 4: Warning: ignoring some quantifiers % 4.83/1.87 Prover 4: Constructing countermodel ... % 9.63/3.02 Prover 5: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allMinimal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all % 9.63/3.04 Prover 5: Preprocessing ... % 10.15/3.10 Prover 5: Warning: ignoring some quantifiers % 10.15/3.11 Prover 5: Constructing countermodel ... % 10.64/3.22 Prover 5: gave up % 10.64/3.22 Prover 6: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -resolutionMethod=normal +ignoreQuantifiers -generateTriggers=all % 10.64/3.23 Prover 6: Preprocessing ... % 10.64/3.26 Prover 6: Warning: ignoring some quantifiers % 10.64/3.26 Prover 6: Constructing countermodel ... % 10.92/3.30 Prover 6: gave up % 10.92/3.30 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximalOutermost -resolutionMethod=normal -ignoreQuantifiers -generateTriggers=all % 10.92/3.31 Prover 7: Preprocessing ... % 10.92/3.32 Prover 7: Proving ... % 13.42/3.88 Prover 7: proved (578ms) % 13.42/3.88 Prover 4: stopped % 13.42/3.88 % 13.42/3.88 % SZS status Theorem for theBenchmark % 13.42/3.88 % 13.42/3.88 Generating proof ... found it (size 23) % 17.02/4.71 % 17.02/4.71 % SZS output start Proof for theBenchmark % 17.02/4.71 Assumed formulas after preprocessing and simplification: % 17.02/4.72 | (0) ? [v0] : (relation(v0) & empty(v0) & ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (singleton(v1) = v4) | ~ (unordered_pair(v3, v4) = v5) | ~ (unordered_pair(v1, v2) = v3) | ordered_pair(v1, v2) = v5) & ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v2 = v1 | ~ (ordered_pair(v4, v3) = v2) | ~ (ordered_pair(v4, v3) = v1)) & ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v2 = v1 | ~ (unordered_pair(v4, v3) = v2) | ~ (unordered_pair(v4, v3) = v1)) & ! [v1] : ! [v2] : ! [v3] : (v2 = v1 | ~ (singleton(v3) = v2) | ~ (singleton(v3) = v1)) & ! [v1] : ! [v2] : ! [v3] : ( ~ (ordered_pair(v1, v2) = v3) | ~ empty(v3)) & ! [v1] : ! [v2] : ! [v3] : ( ~ (unordered_pair(v1, v2) = v3) | ~ empty(v3)) & ! [v1] : ! [v2] : ! [v3] : ( ~ (unordered_pair(v1, v2) = v3) | unordered_pair(v2, v1) = v3) & ! [v1] : ! [v2] : (v2 = v1 | ~ empty(v2) | ~ empty(v1)) & ! [v1] : ! [v2] : ( ~ (singleton(v1) = v2) | ~ empty(v2)) & ! [v1] : ! [v2] : ( ~ element(v1, v2) | empty(v2) | in(v1, v2)) & ! [v1] : ! [v2] : ( ~ empty(v2) | ~ in(v1, v2)) & ! [v1] : ! [v2] : ( ~ in(v2, v1) | ~ in(v1, v2)) & ! [v1] : ! [v2] : ( ~ in(v1, v2) | element(v1, v2)) & ! [v1] : (v1 = v0 | ~ empty(v1)) & ! [v1] : ( ~ relation(v1) | ! [v2] : ( ~ in(v2, v1) | ? [v3] : ? [v4] : ordered_pair(v3, v4) = v2)) & ! [v1] : ( ~ empty(v1) | relation(v1)) & ! [v1] : (relation(v1) | ? [v2] : (in(v2, v1) & ! [v3] : ! [v4] : ? [v5] : ( ~ (v5 = v2) & ordered_pair(v3, v4) = v5))) & ! [v1] : ? [v2] : element(v2, v1) & ? [v1] : ~ empty(v1) & ? [v1] : empty(v1) & ? [v1] : ( ~ (v1 = v0) & relation(v1) & ! [v2] : ! [v3] : ! [v4] : ( ~ (ordered_pair(v2, v3) = v4) | ~ in(v4, v1))) & ? [v1] : (relation(v1) & empty(v1)) & ? [v1] : (relation(v1) & ~ empty(v1))) % 17.02/4.74 | Instantiating (0) with all_0_0_0 yields: % 17.02/4.74 | (1) relation(all_0_0_0) & empty(all_0_0_0) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (singleton(v0) = v3) | ~ (unordered_pair(v2, v3) = v4) | ~ (unordered_pair(v0, v1) = v2) | ordered_pair(v0, v1) = v4) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (ordered_pair(v3, v2) = v1) | ~ (ordered_pair(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (unordered_pair(v3, v2) = v1) | ~ (unordered_pair(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (singleton(v2) = v1) | ~ (singleton(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (ordered_pair(v0, v1) = v2) | ~ empty(v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (unordered_pair(v0, v1) = v2) | ~ empty(v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (unordered_pair(v0, v1) = v2) | unordered_pair(v1, v0) = v2) & ! [v0] : ! [v1] : (v1 = v0 | ~ empty(v1) | ~ empty(v0)) & ! [v0] : ! [v1] : ( ~ (singleton(v0) = v1) | ~ empty(v1)) & ! [v0] : ! [v1] : ( ~ element(v0, v1) | empty(v1) | in(v0, v1)) & ! [v0] : ! [v1] : ( ~ empty(v1) | ~ in(v0, v1)) & ! [v0] : ! [v1] : ( ~ in(v1, v0) | ~ in(v0, v1)) & ! [v0] : ! [v1] : ( ~ in(v0, v1) | element(v0, v1)) & ! [v0] : (v0 = all_0_0_0 | ~ empty(v0)) & ! [v0] : ( ~ relation(v0) | ! [v1] : ( ~ in(v1, v0) | ? [v2] : ? [v3] : ordered_pair(v2, v3) = v1)) & ! [v0] : ( ~ empty(v0) | relation(v0)) & ! [v0] : (relation(v0) | ? [v1] : (in(v1, v0) & ! [v2] : ! [v3] : ? [v4] : ( ~ (v4 = v1) & ordered_pair(v2, v3) = v4))) & ! [v0] : ? [v1] : element(v1, v0) & ? [v0] : ~ empty(v0) & ? [v0] : empty(v0) & ? [v0] : ( ~ (v0 = all_0_0_0) & relation(v0) & ! [v1] : ! [v2] : ! [v3] : ( ~ (ordered_pair(v1, v2) = v3) | ~ in(v3, v0))) & ? [v0] : (relation(v0) & empty(v0)) & ? [v0] : (relation(v0) & ~ empty(v0)) % 17.02/4.74 | % 17.02/4.74 | Applying alpha-rule on (1) yields: % 17.02/4.74 | (2) ! [v0] : ! [v1] : ( ~ in(v1, v0) | ~ in(v0, v1)) % 17.02/4.74 | (3) ? [v0] : ~ empty(v0) % 17.02/4.74 | (4) ! [v0] : ! [v1] : ( ~ element(v0, v1) | empty(v1) | in(v0, v1)) % 17.02/4.74 | (5) ? [v0] : empty(v0) % 17.02/4.74 | (6) ! [v0] : ! [v1] : ( ~ (singleton(v0) = v1) | ~ empty(v1)) % 17.02/4.74 | (7) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (unordered_pair(v3, v2) = v1) | ~ (unordered_pair(v3, v2) = v0)) % 17.02/4.74 | (8) ! [v0] : ! [v1] : ! [v2] : ( ~ (unordered_pair(v0, v1) = v2) | ~ empty(v2)) % 17.02/4.74 | (9) ? [v0] : ( ~ (v0 = all_0_0_0) & relation(v0) & ! [v1] : ! [v2] : ! [v3] : ( ~ (ordered_pair(v1, v2) = v3) | ~ in(v3, v0))) % 17.02/4.74 | (10) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (singleton(v2) = v1) | ~ (singleton(v2) = v0)) % 17.02/4.74 | (11) ? [v0] : (relation(v0) & empty(v0)) % 17.02/4.75 | (12) ! [v0] : ! [v1] : ( ~ empty(v1) | ~ in(v0, v1)) % 17.02/4.75 | (13) ! [v0] : ! [v1] : ( ~ in(v0, v1) | element(v0, v1)) % 17.02/4.75 | (14) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (ordered_pair(v3, v2) = v1) | ~ (ordered_pair(v3, v2) = v0)) % 17.02/4.75 | (15) ! [v0] : ( ~ relation(v0) | ! [v1] : ( ~ in(v1, v0) | ? [v2] : ? [v3] : ordered_pair(v2, v3) = v1)) % 17.02/4.75 | (16) ! [v0] : ! [v1] : (v1 = v0 | ~ empty(v1) | ~ empty(v0)) % 17.02/4.75 | (17) ! [v0] : ( ~ empty(v0) | relation(v0)) % 17.02/4.75 | (18) empty(all_0_0_0) % 17.02/4.75 | (19) ? [v0] : (relation(v0) & ~ empty(v0)) % 17.02/4.75 | (20) relation(all_0_0_0) % 17.02/4.75 | (21) ! [v0] : ? [v1] : element(v1, v0) % 17.02/4.75 | (22) ! [v0] : (v0 = all_0_0_0 | ~ empty(v0)) % 17.02/4.75 | (23) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (singleton(v0) = v3) | ~ (unordered_pair(v2, v3) = v4) | ~ (unordered_pair(v0, v1) = v2) | ordered_pair(v0, v1) = v4) % 17.02/4.75 | (24) ! [v0] : ! [v1] : ! [v2] : ( ~ (ordered_pair(v0, v1) = v2) | ~ empty(v2)) % 17.02/4.75 | (25) ! [v0] : (relation(v0) | ? [v1] : (in(v1, v0) & ! [v2] : ! [v3] : ? [v4] : ( ~ (v4 = v1) & ordered_pair(v2, v3) = v4))) % 17.02/4.75 | (26) ! [v0] : ! [v1] : ! [v2] : ( ~ (unordered_pair(v0, v1) = v2) | unordered_pair(v1, v0) = v2) % 17.02/4.75 | % 17.02/4.75 | Instantiating (9) with all_5_0_2 yields: % 17.02/4.75 | (27) ~ (all_5_0_2 = all_0_0_0) & relation(all_5_0_2) & ! [v0] : ! [v1] : ! [v2] : ( ~ (ordered_pair(v0, v1) = v2) | ~ in(v2, all_5_0_2)) % 17.02/4.75 | % 17.02/4.75 | Applying alpha-rule on (27) yields: % 17.02/4.75 | (28) ~ (all_5_0_2 = all_0_0_0) % 17.02/4.75 | (29) relation(all_5_0_2) % 17.02/4.75 | (30) ! [v0] : ! [v1] : ! [v2] : ( ~ (ordered_pair(v0, v1) = v2) | ~ in(v2, all_5_0_2)) % 17.02/4.75 | % 17.02/4.75 | Instantiating formula (15) with all_5_0_2 and discharging atoms relation(all_5_0_2), yields: % 17.02/4.75 | (31) ! [v0] : ( ~ in(v0, all_5_0_2) | ? [v1] : ? [v2] : ordered_pair(v1, v2) = v0) % 17.02/4.75 | % 17.02/4.75 | Introducing new symbol ex_29_0_6 defined by: % 17.02/4.75 | (32) ex_29_0_6 = all_5_0_2 % 17.02/4.75 | % 17.02/4.75 | Instantiating formula (21) with ex_29_0_6 yields: % 17.02/4.75 | (33) ? [v0] : element(v0, ex_29_0_6) % 17.02/4.75 | % 17.02/4.75 | Instantiating (33) with all_30_0_7 yields: % 17.02/4.75 | (34) element(all_30_0_7, ex_29_0_6) % 17.02/4.75 | % 17.02/4.75 | Instantiating formula (4) with ex_29_0_6, all_30_0_7 and discharging atoms element(all_30_0_7, ex_29_0_6), yields: % 17.02/4.75 | (35) empty(ex_29_0_6) | in(all_30_0_7, ex_29_0_6) % 17.02/4.75 | % 17.02/4.75 +-Applying beta-rule and splitting (35), into two cases. % 17.02/4.75 |-Branch one: % 17.02/4.75 | (36) empty(ex_29_0_6) % 17.02/4.75 | % 17.02/4.75 | Instantiating formula (22) with ex_29_0_6 and discharging atoms empty(ex_29_0_6), yields: % 17.02/4.75 | (37) ex_29_0_6 = all_0_0_0 % 17.02/4.75 | % 17.02/4.75 | Combining equations (37,32) yields a new equation: % 17.02/4.75 | (38) all_5_0_2 = all_0_0_0 % 17.02/4.75 | % 17.02/4.75 | Equations (38) can reduce 28 to: % 17.02/4.75 | (39) $false % 17.02/4.75 | % 17.02/4.75 |-The branch is then unsatisfiable % 17.02/4.75 |-Branch two: % 17.02/4.75 | (40) in(all_30_0_7, ex_29_0_6) % 17.02/4.75 | % 17.02/4.75 | Instantiating formula (31) with all_30_0_7 yields: % 17.02/4.75 | (41) ~ in(all_30_0_7, all_5_0_2) | ? [v0] : ? [v1] : ordered_pair(v0, v1) = all_30_0_7 % 17.02/4.75 | % 17.02/4.75 +-Applying beta-rule and splitting (41), into two cases. % 17.02/4.75 |-Branch one: % 17.02/4.75 | (42) ~ in(all_30_0_7, all_5_0_2) % 17.02/4.75 | % 17.02/4.75 | From (32) and (40) follows: % 17.02/4.75 | (43) in(all_30_0_7, all_5_0_2) % 17.02/4.75 | % 17.02/4.75 | Using (43) and (42) yields: % 17.02/4.75 | (44) $false % 17.02/4.75 | % 17.02/4.75 |-The branch is then unsatisfiable % 17.02/4.75 |-Branch two: % 17.02/4.75 | (43) in(all_30_0_7, all_5_0_2) % 17.02/4.75 | (46) ? [v0] : ? [v1] : ordered_pair(v0, v1) = all_30_0_7 % 17.02/4.75 | % 17.02/4.75 | Instantiating (46) with all_63_0_18, all_63_1_19 yields: % 17.02/4.75 | (47) ordered_pair(all_63_1_19, all_63_0_18) = all_30_0_7 % 17.02/4.75 | % 17.02/4.75 | Instantiating formula (30) with all_30_0_7, all_63_0_18, all_63_1_19 and discharging atoms ordered_pair(all_63_1_19, all_63_0_18) = all_30_0_7, yields: % 17.02/4.75 | (42) ~ in(all_30_0_7, all_5_0_2) % 17.02/4.75 | % 17.02/4.75 | Using (43) and (42) yields: % 17.02/4.75 | (44) $false % 17.02/4.75 | % 17.02/4.75 |-The branch is then unsatisfiable % 17.02/4.75 % SZS output end Proof for theBenchmark % 17.02/4.75 % 17.02/4.75 4161ms %------------------------------------------------------------------------------