%------------------------------------------------------------------------------ % File : ePrincess---1.0 % Problem : SET008+3 : TPTP v8.1.0. Released v2.2.0. % 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 00:15:52 EDT 2022 % Result : Theorem 21.85s 6.27s % Output : Proof 28.06s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.04/0.12 % Problem : SET008+3 : TPTP v8.1.0. Released v2.2.0. % 0.04/0.12 % Command : ePrincess-casc -timeout=%d %s % 0.12/0.33 % Computer : n013.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 : Mon Jul 11 01:49:14 EDT 2022 % 0.12/0.34 % CPUTime : % 0.54/0.59 ____ _ % 0.54/0.59 ___ / __ \_____(_)___ ________ __________ % 0.54/0.59 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/ % 0.54/0.59 / __/ ____/ / / / / / / /__/ __(__ |__ ) % 0.54/0.59 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/ % 0.54/0.59 % 0.54/0.59 A Theorem Prover for First-Order Logic % 0.54/0.59 (ePrincess v.1.0) % 0.54/0.59 % 0.54/0.59 (c) Philipp Rümmer, 2009-2015 % 0.54/0.59 (c) Peter Backeman, 2014-2015 % 0.54/0.59 (contributions by Angelo Brillout, Peter Baumgartner) % 0.54/0.59 Free software under GNU Lesser General Public License (LGPL). % 0.54/0.59 Bug reports to peter@backeman.se % 0.54/0.59 % 0.54/0.59 For more information, visit http://user.uu.se/~petba168/breu/ % 0.54/0.59 % 0.54/0.59 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ... % 0.74/0.64 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all % 1.36/0.93 Prover 0: Preprocessing ... % 1.84/1.10 Prover 0: Warning: ignoring some quantifiers % 1.84/1.12 Prover 0: Constructing countermodel ... % 2.37/1.26 Prover 0: gave up % 2.37/1.26 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -resolutionMethod=normal +ignoreQuantifiers -generateTriggers=all % 2.37/1.28 Prover 1: Preprocessing ... % 2.72/1.36 Prover 1: Warning: ignoring some quantifiers % 2.72/1.36 Prover 1: Constructing countermodel ... % 2.72/1.40 Prover 1: gave up % 2.72/1.40 Prover 2: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all % 2.72/1.41 Prover 2: Preprocessing ... % 3.27/1.49 Prover 2: Warning: ignoring some quantifiers % 3.27/1.49 Prover 2: Constructing countermodel ... % 3.27/1.53 Prover 2: gave up % 3.27/1.54 Prover 3: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all % 3.52/1.55 Prover 3: Preprocessing ... % 3.58/1.57 Prover 3: Warning: ignoring some quantifiers % 3.58/1.57 Prover 3: Constructing countermodel ... % 3.58/1.61 Prover 3: gave up % 3.58/1.61 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=complete % 3.58/1.62 Prover 4: Preprocessing ... % 4.17/1.69 Prover 4: Warning: ignoring some quantifiers % 4.17/1.69 Prover 4: Constructing countermodel ... % 6.16/2.13 Prover 4: gave up % 6.16/2.13 Prover 5: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allMinimal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all % 6.16/2.14 Prover 5: Preprocessing ... % 6.27/2.18 Prover 5: Warning: ignoring some quantifiers % 6.27/2.18 Prover 5: Constructing countermodel ... % 6.27/2.20 Prover 5: gave up % 6.27/2.20 Prover 6: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -resolutionMethod=normal +ignoreQuantifiers -generateTriggers=all % 6.27/2.21 Prover 6: Preprocessing ... % 6.63/2.24 Prover 6: Warning: ignoring some quantifiers % 6.63/2.24 Prover 6: Constructing countermodel ... % 6.63/2.26 Prover 6: gave up % 6.63/2.26 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximalOutermost -resolutionMethod=normal -ignoreQuantifiers -generateTriggers=all % 6.63/2.27 Prover 7: Preprocessing ... % 6.63/2.29 Prover 7: Proving ... % 21.85/6.27 Prover 7: proved (4005ms) % 21.85/6.27 % 21.85/6.27 % SZS status Theorem for theBenchmark % 21.85/6.27 % 21.85/6.27 Generating proof ... found it (size 46) % 27.80/7.90 % 27.80/7.90 % SZS output start Proof for theBenchmark % 27.80/7.90 Assumed formulas after preprocessing and simplification: % 27.80/7.90 | (0) ? [v0] : ( ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v2 = v1 | ~ (difference(v4, v3) = v2) | ~ (difference(v4, v3) = v1)) & ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v2 = v1 | ~ (intersection(v4, v3) = v2) | ~ (intersection(v4, v3) = v1)) & ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (difference(v1, v2) = v4) | ~ member(v3, v4) | (member(v3, v1) & ~ member(v3, v2))) & ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (difference(v1, v2) = v4) | ~ member(v3, v1) | member(v3, v4) | member(v3, v2)) & ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (intersection(v1, v2) = v4) | ~ member(v3, v4) | (member(v3, v2) & member(v3, v1))) & ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (intersection(v1, v2) = v4) | ~ member(v3, v2) | ~ member(v3, v1) | member(v3, v4)) & ! [v1] : ! [v2] : ! [v3] : ( ~ (intersection(v1, v2) = v3) | intersection(v2, v1) = v3) & ! [v1] : ! [v2] : (v2 = v1 | ~ subset(v2, v1) | ~ subset(v1, v2)) & ! [v1] : ! [v2] : (v2 = v1 | ? [v3] : (( ~ member(v3, v2) | ~ member(v3, v1)) & (member(v3, v2) | member(v3, v1)))) & ! [v1] : ! [v2] : ( ~ subset(v1, v2) | ! [v3] : ( ~ member(v3, v1) | member(v3, v2))) & ! [v1] : ! [v2] : (subset(v1, v2) | ? [v3] : (member(v3, v1) & ~ member(v3, v2))) & ! [v1] : ( ~ empty(v1) | ! [v2] : ~ member(v2, v1)) & ! [v1] : ~ member(v1, v0) & ! [v1] : (empty(v1) | ? [v2] : member(v2, v1)) & ! [v1] : subset(v1, v1) & ? [v1] : ? [v2] : ? [v3] : ? [v4] : ( ~ (v4 = v0) & difference(v1, v2) = v3 & intersection(v3, v2) = v4)) % 28.06/7.93 | Instantiating (0) with all_0_0_0 yields: % 28.06/7.93 | (1) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (difference(v3, v2) = v1) | ~ (difference(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (intersection(v3, v2) = v1) | ~ (intersection(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (difference(v0, v1) = v3) | ~ member(v2, v3) | (member(v2, v0) & ~ member(v2, v1))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (difference(v0, v1) = v3) | ~ member(v2, v0) | member(v2, v3) | member(v2, v1)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (intersection(v0, v1) = v3) | ~ member(v2, v3) | (member(v2, v1) & member(v2, v0))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (intersection(v0, v1) = v3) | ~ member(v2, v1) | ~ member(v2, v0) | member(v2, v3)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (intersection(v0, v1) = v2) | intersection(v1, v0) = v2) & ! [v0] : ! [v1] : (v1 = v0 | ~ subset(v1, v0) | ~ subset(v0, v1)) & ! [v0] : ! [v1] : (v1 = v0 | ? [v2] : (( ~ member(v2, v1) | ~ member(v2, v0)) & (member(v2, v1) | member(v2, v0)))) & ! [v0] : ! [v1] : ( ~ subset(v0, v1) | ! [v2] : ( ~ member(v2, v0) | member(v2, v1))) & ! [v0] : ! [v1] : (subset(v0, v1) | ? [v2] : (member(v2, v0) & ~ member(v2, v1))) & ! [v0] : ( ~ empty(v0) | ! [v1] : ~ member(v1, v0)) & ! [v0] : ~ member(v0, all_0_0_0) & ! [v0] : (empty(v0) | ? [v1] : member(v1, v0)) & ! [v0] : subset(v0, v0) & ? [v0] : ? [v1] : ? [v2] : ? [v3] : ( ~ (v3 = all_0_0_0) & difference(v0, v1) = v2 & intersection(v2, v1) = v3) % 28.06/7.93 | % 28.06/7.93 | Applying alpha-rule on (1) yields: % 28.06/7.93 | (2) ! [v0] : ! [v1] : (v1 = v0 | ~ subset(v1, v0) | ~ subset(v0, v1)) % 28.06/7.93 | (3) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (intersection(v0, v1) = v3) | ~ member(v2, v3) | (member(v2, v1) & member(v2, v0))) % 28.06/7.93 | (4) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (difference(v3, v2) = v1) | ~ (difference(v3, v2) = v0)) % 28.06/7.93 | (5) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (difference(v0, v1) = v3) | ~ member(v2, v3) | (member(v2, v0) & ~ member(v2, v1))) % 28.06/7.93 | (6) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (intersection(v0, v1) = v3) | ~ member(v2, v1) | ~ member(v2, v0) | member(v2, v3)) % 28.06/7.93 | (7) ! [v0] : ( ~ empty(v0) | ! [v1] : ~ member(v1, v0)) % 28.06/7.93 | (8) ! [v0] : subset(v0, v0) % 28.06/7.93 | (9) ! [v0] : ! [v1] : ( ~ subset(v0, v1) | ! [v2] : ( ~ member(v2, v0) | member(v2, v1))) % 28.06/7.93 | (10) ! [v0] : (empty(v0) | ? [v1] : member(v1, v0)) % 28.06/7.93 | (11) ! [v0] : ~ member(v0, all_0_0_0) % 28.06/7.93 | (12) ! [v0] : ! [v1] : (subset(v0, v1) | ? [v2] : (member(v2, v0) & ~ member(v2, v1))) % 28.06/7.94 | (13) ! [v0] : ! [v1] : ! [v2] : ( ~ (intersection(v0, v1) = v2) | intersection(v1, v0) = v2) % 28.06/7.94 | (14) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (difference(v0, v1) = v3) | ~ member(v2, v0) | member(v2, v3) | member(v2, v1)) % 28.06/7.94 | (15) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ( ~ (v3 = all_0_0_0) & difference(v0, v1) = v2 & intersection(v2, v1) = v3) % 28.06/7.94 | (16) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (intersection(v3, v2) = v1) | ~ (intersection(v3, v2) = v0)) % 28.06/7.94 | (17) ! [v0] : ! [v1] : (v1 = v0 | ? [v2] : (( ~ member(v2, v1) | ~ member(v2, v0)) & (member(v2, v1) | member(v2, v0)))) % 28.06/7.94 | % 28.06/7.94 | Instantiating (15) with all_2_0_1, all_2_1_2, all_2_2_3, all_2_3_4 yields: % 28.06/7.94 | (18) ~ (all_2_0_1 = all_0_0_0) & difference(all_2_3_4, all_2_2_3) = all_2_1_2 & intersection(all_2_1_2, all_2_2_3) = all_2_0_1 % 28.06/7.94 | % 28.06/7.94 | Applying alpha-rule on (18) yields: % 28.06/7.94 | (19) ~ (all_2_0_1 = all_0_0_0) % 28.06/7.94 | (20) difference(all_2_3_4, all_2_2_3) = all_2_1_2 % 28.06/7.94 | (21) intersection(all_2_1_2, all_2_2_3) = all_2_0_1 % 28.06/7.94 | % 28.06/7.94 | Instantiating formula (13) with all_2_0_1, all_2_2_3, all_2_1_2 and discharging atoms intersection(all_2_1_2, all_2_2_3) = all_2_0_1, yields: % 28.06/7.94 | (22) intersection(all_2_2_3, all_2_1_2) = all_2_0_1 % 28.06/7.94 | % 28.06/7.94 | Introducing new symbol ex_46_1_12 defined by: % 28.06/7.94 | (23) ex_46_1_12 = all_0_0_0 % 28.06/7.94 | % 28.06/7.94 | Introducing new symbol ex_46_0_11 defined by: % 28.06/7.94 | (24) ex_46_0_11 = all_2_0_1 % 28.06/7.94 | % 28.06/7.94 | Instantiating formula (17) with ex_46_0_11, ex_46_1_12 yields: % 28.06/7.94 | (25) ex_46_0_11 = ex_46_1_12 | ? [v0] : (( ~ member(v0, ex_46_0_11) | ~ member(v0, ex_46_1_12)) & (member(v0, ex_46_0_11) | member(v0, ex_46_1_12))) % 28.06/7.94 | % 28.06/7.94 +-Applying beta-rule and splitting (25), into two cases. % 28.06/7.94 |-Branch one: % 28.06/7.94 | (26) ex_46_0_11 = ex_46_1_12 % 28.06/7.94 | % 28.06/7.94 | Combining equations (24,26) yields a new equation: % 28.06/7.94 | (27) ex_46_1_12 = all_2_0_1 % 28.06/7.94 | % 28.06/7.94 | Combining equations (27,23) yields a new equation: % 28.06/7.94 | (28) all_2_0_1 = all_0_0_0 % 28.06/7.94 | % 28.06/7.94 | Simplifying 28 yields: % 28.06/7.94 | (29) all_2_0_1 = all_0_0_0 % 28.06/7.94 | % 28.06/7.94 | Equations (29) can reduce 19 to: % 28.06/7.94 | (30) $false % 28.06/7.94 | % 28.06/7.94 |-The branch is then unsatisfiable % 28.06/7.94 |-Branch two: % 28.06/7.94 | (31) ? [v0] : (( ~ member(v0, ex_46_0_11) | ~ member(v0, ex_46_1_12)) & (member(v0, ex_46_0_11) | member(v0, ex_46_1_12))) % 28.06/7.94 | % 28.06/7.94 | Instantiating (31) with all_49_0_13 yields: % 28.06/7.94 | (32) ( ~ member(all_49_0_13, ex_46_0_11) | ~ member(all_49_0_13, ex_46_1_12)) & (member(all_49_0_13, ex_46_0_11) | member(all_49_0_13, ex_46_1_12)) % 28.06/7.94 | % 28.06/7.94 | Applying alpha-rule on (32) yields: % 28.06/7.94 | (33) ~ member(all_49_0_13, ex_46_0_11) | ~ member(all_49_0_13, ex_46_1_12) % 28.06/7.94 | (34) member(all_49_0_13, ex_46_0_11) | member(all_49_0_13, ex_46_1_12) % 28.06/7.94 | % 28.06/7.94 +-Applying beta-rule and splitting (33), into two cases. % 28.06/7.94 |-Branch one: % 28.06/7.94 | (35) ~ member(all_49_0_13, ex_46_0_11) % 28.06/7.94 | % 28.06/7.94 +-Applying beta-rule and splitting (34), into two cases. % 28.06/7.94 |-Branch one: % 28.06/7.94 | (36) member(all_49_0_13, ex_46_0_11) % 28.06/7.94 | % 28.06/7.94 | Using (36) and (35) yields: % 28.06/7.94 | (37) $false % 28.06/7.94 | % 28.06/7.94 |-The branch is then unsatisfiable % 28.06/7.94 |-Branch two: % 28.06/7.94 | (38) member(all_49_0_13, ex_46_1_12) % 28.06/7.94 | % 28.06/7.94 | Instantiating formula (11) with all_49_0_13 yields: % 28.06/7.94 | (39) ~ member(all_49_0_13, all_0_0_0) % 28.06/7.94 | % 28.06/7.94 | From (23) and (38) follows: % 28.06/7.94 | (40) member(all_49_0_13, all_0_0_0) % 28.06/7.94 | % 28.06/7.94 | Using (40) and (39) yields: % 28.06/7.94 | (37) $false % 28.06/7.94 | % 28.06/7.94 |-The branch is then unsatisfiable % 28.06/7.94 |-Branch two: % 28.06/7.94 | (36) member(all_49_0_13, ex_46_0_11) % 28.06/7.94 | (43) ~ member(all_49_0_13, ex_46_1_12) % 28.06/7.94 | % 28.06/7.94 | Instantiating formula (5) with all_2_1_2, all_49_0_13, all_2_2_3, all_2_3_4 and discharging atoms difference(all_2_3_4, all_2_2_3) = all_2_1_2, yields: % 28.06/7.94 | (44) ~ member(all_49_0_13, all_2_1_2) | (member(all_49_0_13, all_2_3_4) & ~ member(all_49_0_13, all_2_2_3)) % 28.06/7.94 | % 28.06/7.94 | Instantiating formula (6) with all_2_0_1, all_49_0_13, all_2_2_3, all_2_2_3 yields: % 28.06/7.94 | (45) ~ (intersection(all_2_2_3, all_2_2_3) = all_2_0_1) | ~ member(all_49_0_13, all_2_2_3) | member(all_49_0_13, all_2_0_1) % 28.06/7.94 | % 28.06/7.94 | Instantiating formula (3) with all_2_0_1, all_49_0_13, all_2_1_2, all_2_2_3 and discharging atoms intersection(all_2_2_3, all_2_1_2) = all_2_0_1, yields: % 28.06/7.94 | (46) ~ member(all_49_0_13, all_2_0_1) | (member(all_49_0_13, all_2_1_2) & member(all_49_0_13, all_2_2_3)) % 28.06/7.94 | % 28.06/7.94 +-Applying beta-rule and splitting (45), into two cases. % 28.06/7.94 |-Branch one: % 28.06/7.94 | (47) ~ member(all_49_0_13, all_2_2_3) % 28.06/7.94 | % 28.06/7.94 +-Applying beta-rule and splitting (46), into two cases. % 28.06/7.94 |-Branch one: % 28.06/7.94 | (48) ~ member(all_49_0_13, all_2_0_1) % 28.06/7.94 | % 28.06/7.94 | From (24) and (36) follows: % 28.06/7.94 | (49) member(all_49_0_13, all_2_0_1) % 28.06/7.94 | % 28.06/7.94 | Using (49) and (48) yields: % 28.06/7.94 | (37) $false % 28.06/7.94 | % 28.06/7.94 |-The branch is then unsatisfiable % 28.06/7.94 |-Branch two: % 28.06/7.94 | (51) member(all_49_0_13, all_2_1_2) & member(all_49_0_13, all_2_2_3) % 28.06/7.94 | % 28.06/7.94 | Applying alpha-rule on (51) yields: % 28.06/7.94 | (52) member(all_49_0_13, all_2_1_2) % 28.06/7.94 | (53) member(all_49_0_13, all_2_2_3) % 28.06/7.94 | % 28.06/7.94 | Using (53) and (47) yields: % 28.06/7.95 | (37) $false % 28.06/7.95 | % 28.06/7.95 |-The branch is then unsatisfiable % 28.06/7.95 |-Branch two: % 28.06/7.95 | (53) member(all_49_0_13, all_2_2_3) % 28.06/7.95 | (56) ~ (intersection(all_2_2_3, all_2_2_3) = all_2_0_1) | member(all_49_0_13, all_2_0_1) % 28.06/7.95 | % 28.06/7.95 +-Applying beta-rule and splitting (44), into two cases. % 28.06/7.95 |-Branch one: % 28.06/7.95 | (57) ~ member(all_49_0_13, all_2_1_2) % 28.06/7.95 | % 28.06/7.95 +-Applying beta-rule and splitting (46), into two cases. % 28.06/7.95 |-Branch one: % 28.06/7.95 | (48) ~ member(all_49_0_13, all_2_0_1) % 28.06/7.95 | % 28.06/7.95 | From (24) and (36) follows: % 28.06/7.95 | (49) member(all_49_0_13, all_2_0_1) % 28.06/7.95 | % 28.06/7.95 | Using (49) and (48) yields: % 28.06/7.95 | (37) $false % 28.06/7.95 | % 28.06/7.95 |-The branch is then unsatisfiable % 28.06/7.95 |-Branch two: % 28.06/7.95 | (51) member(all_49_0_13, all_2_1_2) & member(all_49_0_13, all_2_2_3) % 28.06/7.95 | % 28.06/7.95 | Applying alpha-rule on (51) yields: % 28.06/7.95 | (52) member(all_49_0_13, all_2_1_2) % 28.06/7.95 | (53) member(all_49_0_13, all_2_2_3) % 28.06/7.95 | % 28.06/7.95 | Using (52) and (57) yields: % 28.06/7.95 | (37) $false % 28.06/7.95 | % 28.06/7.95 |-The branch is then unsatisfiable % 28.06/7.95 |-Branch two: % 28.06/7.95 | (65) member(all_49_0_13, all_2_3_4) & ~ member(all_49_0_13, all_2_2_3) % 28.06/7.95 | % 28.06/7.95 | Applying alpha-rule on (65) yields: % 28.06/7.95 | (66) member(all_49_0_13, all_2_3_4) % 28.06/7.95 | (47) ~ member(all_49_0_13, all_2_2_3) % 28.06/7.95 | % 28.06/7.95 | Using (53) and (47) yields: % 28.06/7.95 | (37) $false % 28.06/7.95 | % 28.06/7.95 |-The branch is then unsatisfiable % 28.06/7.95 % SZS output end Proof for theBenchmark % 28.06/7.95 % 28.06/7.95 7350ms %------------------------------------------------------------------------------