%------------------------------------------------------------------------------ % File : ePrincess---1.0 % Problem : SYN363+1 : TPTP v8.1.0. Released v2.0.0. % 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 : Thu Jul 21 05:01:49 EDT 2022 % Result : Theorem 3.34s 1.60s % Output : Proof 3.89s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : SYN363+1 : TPTP v8.1.0. Released v2.0.0. % 0.07/0.13 % Command : ePrincess-casc -timeout=%d %s % 0.13/0.34 % Computer : n020.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 : Mon Jul 11 13:16:42 EDT 2022 % 0.13/0.34 % CPUTime : % 0.60/0.60 ____ _ % 0.60/0.60 ___ / __ \_____(_)___ ________ __________ % 0.60/0.60 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/ % 0.60/0.60 / __/ ____/ / / / / / / /__/ __(__ |__ ) % 0.60/0.60 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/ % 0.60/0.60 % 0.60/0.60 A Theorem Prover for First-Order Logic % 0.60/0.60 (ePrincess v.1.0) % 0.60/0.60 % 0.60/0.60 (c) Philipp Rümmer, 2009-2015 % 0.60/0.60 (c) Peter Backeman, 2014-2015 % 0.60/0.60 (contributions by Angelo Brillout, Peter Baumgartner) % 0.60/0.60 Free software under GNU Lesser General Public License (LGPL). % 0.60/0.60 Bug reports to peter@backeman.se % 0.60/0.60 % 0.60/0.60 For more information, visit http://user.uu.se/~petba168/breu/ % 0.60/0.60 % 0.60/0.60 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ... % 0.72/0.65 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all % 1.26/0.89 Prover 0: Preprocessing ... % 1.33/0.92 Prover 0: Warning: ignoring some quantifiers % 1.39/0.94 Prover 0: Constructing countermodel ... % 1.62/1.06 Prover 0: gave up % 1.62/1.06 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -resolutionMethod=normal +ignoreQuantifiers -generateTriggers=all % 1.62/1.08 Prover 1: Preprocessing ... % 1.88/1.11 Prover 1: Warning: ignoring some quantifiers % 1.88/1.11 Prover 1: Constructing countermodel ... % 1.88/1.15 Prover 1: gave up % 1.88/1.15 Prover 2: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all % 1.88/1.16 Prover 2: Preprocessing ... % 1.88/1.18 Prover 2: Warning: ignoring some quantifiers % 2.21/1.18 Prover 2: Constructing countermodel ... % 2.23/1.21 Prover 2: gave up % 2.23/1.21 Prover 3: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all % 2.23/1.22 Prover 3: Preprocessing ... % 2.36/1.22 Prover 3: Warning: ignoring some quantifiers % 2.36/1.22 Prover 3: Constructing countermodel ... % 2.42/1.25 Prover 3: gave up % 2.42/1.25 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=complete % 2.42/1.25 Prover 4: Preprocessing ... % 2.42/1.28 Prover 4: Warning: ignoring some quantifiers % 2.42/1.28 Prover 4: Constructing countermodel ... % 2.73/1.33 Prover 4: gave up % 2.73/1.33 Prover 5: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allMinimal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all % 2.73/1.33 Prover 5: Preprocessing ... % 2.73/1.35 Prover 5: Warning: ignoring some quantifiers % 2.73/1.35 Prover 5: Constructing countermodel ... % 2.73/1.37 Prover 5: gave up % 2.73/1.37 Prover 6: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -resolutionMethod=normal +ignoreQuantifiers -generateTriggers=all % 2.93/1.38 Prover 6: Preprocessing ... % 2.93/1.38 Prover 6: Warning: ignoring some quantifiers % 2.93/1.39 Prover 6: Constructing countermodel ... % 2.93/1.40 Prover 6: gave up % 2.93/1.40 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximalOutermost -resolutionMethod=normal -ignoreQuantifiers -generateTriggers=all % 2.93/1.41 Prover 7: Preprocessing ... % 2.93/1.41 Prover 7: Proving ... % 3.34/1.60 Prover 7: proved (198ms) % 3.34/1.60 % 3.34/1.60 % SZS status Theorem for theBenchmark % 3.34/1.60 % 3.34/1.60 Generating proof ... found it (size 19) % 3.89/1.78 % 3.89/1.78 % SZS output start Proof for theBenchmark % 3.89/1.78 Assumed formulas after preprocessing and simplification: % 3.89/1.78 | (0) ? [v0] : ? [v1] : ( ! [v2] : big_r(v2, v1) & ! [v2] : (big_r(v0, v2) | ! [v3] : ~ big_r(v2, v3)) & ! [v2] : ? [v3] : ~ big_r(v2, v3)) % 3.89/1.78 | Instantiating (0) with all_0_0_0, all_0_1_1 yields: % 3.89/1.78 | (1) ! [v0] : big_r(v0, all_0_0_0) & ! [v0] : (big_r(all_0_1_1, v0) | ! [v1] : ~ big_r(v0, v1)) & ! [v0] : ? [v1] : ~ big_r(v0, v1) % 3.89/1.78 | % 3.89/1.78 | Applying alpha-rule on (1) yields: % 3.89/1.78 | (2) ! [v0] : big_r(v0, all_0_0_0) % 3.89/1.78 | (3) ! [v0] : (big_r(all_0_1_1, v0) | ! [v1] : ~ big_r(v0, v1)) % 3.89/1.78 | (4) ! [v0] : ? [v1] : ~ big_r(v0, v1) % 3.89/1.79 | % 3.89/1.79 | Introducing new symbol ex_2_0_2 defined by: % 3.89/1.79 | (5) ex_2_0_2 = all_0_1_1 % 3.89/1.79 | % 3.89/1.79 | Instantiating formula (4) with ex_2_0_2 yields: % 3.89/1.79 | (6) ? [v0] : ~ big_r(ex_2_0_2, v0) % 3.89/1.79 | % 3.89/1.79 | Instantiating (6) with all_3_0_3 yields: % 3.89/1.79 | (7) ~ big_r(ex_2_0_2, all_3_0_3) % 3.89/1.79 | % 3.89/1.79 | Introducing new symbol ex_11_0_4 defined by: % 3.89/1.79 | (8) ex_11_0_4 = all_3_0_3 % 3.89/1.79 | % 3.89/1.79 | Instantiating formula (3) with ex_11_0_4 yields: % 3.89/1.79 | (9) big_r(all_0_1_1, ex_11_0_4) | ! [v0] : ~ big_r(ex_11_0_4, v0) % 3.89/1.79 | % 3.89/1.79 +-Applying beta-rule and splitting (9), into two cases. % 3.89/1.79 |-Branch one: % 3.89/1.79 | (10) big_r(all_0_1_1, ex_11_0_4) % 3.89/1.79 | % 3.89/1.79 | From (8) and (10) follows: % 3.89/1.79 | (11) big_r(all_0_1_1, all_3_0_3) % 3.89/1.79 | % 3.89/1.79 | From (5) and (7) follows: % 3.89/1.79 | (12) ~ big_r(all_0_1_1, all_3_0_3) % 3.89/1.79 | % 3.89/1.79 | Using (11) and (12) yields: % 3.89/1.79 | (13) $false % 3.89/1.79 | % 3.89/1.79 |-The branch is then unsatisfiable % 3.89/1.79 |-Branch two: % 3.89/1.79 | (14) ! [v0] : ~ big_r(ex_11_0_4, v0) % 3.89/1.79 | % 3.89/1.79 | Introducing new symbol ex_16_0_5 defined by: % 3.89/1.79 | (15) ex_16_0_5 = all_3_0_3 % 3.89/1.79 | % 3.89/1.79 | Instantiating formula (2) with ex_16_0_5 yields: % 3.89/1.79 | (16) big_r(ex_16_0_5, all_0_0_0) % 3.89/1.79 | % 3.89/1.79 | Instantiating formula (14) with all_0_0_0 yields: % 3.89/1.79 | (17) ~ big_r(ex_11_0_4, all_0_0_0) % 3.89/1.79 | % 3.89/1.79 | From (15) and (16) follows: % 3.89/1.79 | (18) big_r(all_3_0_3, all_0_0_0) % 3.89/1.79 | % 3.89/1.79 | From (8) and (17) follows: % 3.89/1.79 | (19) ~ big_r(all_3_0_3, all_0_0_0) % 3.89/1.79 | % 3.89/1.79 | Using (18) and (19) yields: % 3.89/1.79 | (13) $false % 3.89/1.79 | % 3.89/1.79 |-The branch is then unsatisfiable % 3.89/1.79 % SZS output end Proof for theBenchmark % 3.89/1.79 % 3.89/1.79 1186ms %------------------------------------------------------------------------------