%------------------------------------------------------------------------------ % File : ePrincess---1.0 % Problem : SYN369+1 : TPTP v8.1.0. Released v2.0.0. % Transfm : none % Format : tptp:raw % Command : ePrincess-casc -timeout=%d %s % Computer : n008.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 05:01:52 EDT 2022 % Result : Theorem 3.93s 1.75s % Output : Proof 4.91s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SYN369+1 : TPTP v8.1.0. Released v2.0.0. % 0.12/0.12 % Command : ePrincess-casc -timeout=%d %s % 0.12/0.33 % Computer : n008.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 : Tue Jul 12 08:34:38 EDT 2022 % 0.12/0.33 % CPUTime : % 0.56/0.58 ____ _ % 0.56/0.58 ___ / __ \_____(_)___ ________ __________ % 0.56/0.58 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/ % 0.56/0.58 / __/ ____/ / / / / / / /__/ __(__ |__ ) % 0.56/0.58 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/ % 0.56/0.58 % 0.56/0.58 A Theorem Prover for First-Order Logic % 0.56/0.58 (ePrincess v.1.0) % 0.56/0.58 % 0.56/0.58 (c) Philipp Rümmer, 2009-2015 % 0.56/0.58 (c) Peter Backeman, 2014-2015 % 0.56/0.58 (contributions by Angelo Brillout, Peter Baumgartner) % 0.56/0.58 Free software under GNU Lesser General Public License (LGPL). % 0.56/0.58 Bug reports to peter@backeman.se % 0.56/0.58 % 0.56/0.58 For more information, visit http://user.uu.se/~petba168/breu/ % 0.56/0.58 % 0.56/0.58 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ... % 0.75/0.63 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all % 1.24/0.86 Prover 0: Preprocessing ... % 1.32/0.90 Prover 0: Warning: ignoring some quantifiers % 1.32/0.91 Prover 0: Constructing countermodel ... % 1.40/0.99 Prover 0: gave up % 1.40/1.00 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -resolutionMethod=normal +ignoreQuantifiers -generateTriggers=all % 1.65/1.01 Prover 1: Preprocessing ... % 1.65/1.04 Prover 1: Warning: ignoring some quantifiers % 1.65/1.05 Prover 1: Constructing countermodel ... % 1.91/1.09 Prover 1: gave up % 1.91/1.09 Prover 2: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all % 1.91/1.10 Prover 2: Preprocessing ... % 1.91/1.11 Prover 2: Warning: ignoring some quantifiers % 1.91/1.12 Prover 2: Constructing countermodel ... % 1.91/1.14 Prover 2: gave up % 1.91/1.14 Prover 3: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all % 1.91/1.15 Prover 3: Preprocessing ... % 1.91/1.15 Prover 3: Warning: ignoring some quantifiers % 1.91/1.15 Prover 3: Constructing countermodel ... % 1.91/1.16 Prover 3: gave up % 1.91/1.16 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=complete % 1.91/1.17 Prover 4: Preprocessing ... % 2.22/1.19 Prover 4: Warning: ignoring some quantifiers % 2.22/1.19 Prover 4: Constructing countermodel ... % 2.40/1.23 Prover 4: gave up % 2.40/1.23 Prover 5: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allMinimal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all % 2.40/1.24 Prover 5: Preprocessing ... % 2.40/1.24 Prover 5: Warning: ignoring some quantifiers % 2.40/1.24 Prover 5: Constructing countermodel ... % 2.40/1.26 Prover 5: gave up % 2.40/1.26 Prover 6: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -resolutionMethod=normal +ignoreQuantifiers -generateTriggers=all % 2.40/1.27 Prover 6: Preprocessing ... % 2.40/1.27 Prover 6: Warning: ignoring some quantifiers % 2.40/1.28 Prover 6: Constructing countermodel ... % 2.40/1.29 Prover 6: gave up % 2.40/1.29 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximalOutermost -resolutionMethod=normal -ignoreQuantifiers -generateTriggers=all % 2.40/1.30 Prover 7: Preprocessing ... % 2.40/1.30 Prover 7: Proving ... % 3.93/1.75 Prover 7: proved (457ms) % 3.93/1.75 % 3.93/1.75 % SZS status Theorem for theBenchmark % 3.93/1.75 % 3.93/1.75 Generating proof ... found it (size 20) % 4.91/2.07 % 4.91/2.07 % SZS output start Proof for theBenchmark % 4.91/2.07 Assumed formulas after preprocessing and simplification: % 4.91/2.07 | (0) ! [v0] : ! [v1] : ! [v2] : (big_p(v1, v2) | big_p(v0, v1)) & ! [v0] : ? [v1] : ~ big_p(v0, v1) % 4.91/2.07 | Applying alpha-rule on (0) yields: % 4.91/2.07 | (1) ! [v0] : ! [v1] : ! [v2] : (big_p(v1, v2) | big_p(v0, v1)) % 4.91/2.07 | (2) ! [v0] : ? [v1] : ~ big_p(v0, v1) % 4.91/2.07 | % 4.91/2.07 | Introducing new symbol ex_0_0_0 defined by: % 4.91/2.07 | (3) ex_0_0_0 = arbitrary_constant % 4.91/2.07 | % 4.91/2.07 | Instantiating formula (2) with ex_0_0_0 yields: % 4.91/2.07 | (4) ? [v0] : ~ big_p(ex_0_0_0, v0) % 4.91/2.07 | % 4.91/2.07 | Instantiating (4) with all_1_0_1 yields: % 4.91/2.07 | (5) ~ big_p(ex_0_0_0, all_1_0_1) % 4.91/2.07 | % 4.91/2.07 | Introducing new symbol ex_18_0_7 defined by: % 4.91/2.07 | (6) ex_18_0_7 = all_1_0_1 % 4.91/2.07 | % 4.91/2.07 | Instantiating formula (2) with ex_18_0_7 yields: % 4.91/2.07 | (7) ? [v0] : ~ big_p(ex_18_0_7, v0) % 4.91/2.07 | % 4.91/2.07 | Instantiating (7) with all_19_0_8 yields: % 4.91/2.07 | (8) ~ big_p(ex_18_0_7, all_19_0_8) % 4.91/2.07 | % 4.91/2.07 | Introducing new symbol ex_27_2_14 defined by: % 4.91/2.07 | (9) ex_27_2_14 = arbitrary_constant % 4.91/2.07 | % 4.91/2.07 | Introducing new symbol ex_27_1_13 defined by: % 4.91/2.07 | (10) ex_27_1_13 = all_1_0_1 % 4.91/2.07 | % 4.91/2.07 | Introducing new symbol ex_27_0_12 defined by: % 4.91/2.07 | (11) ex_27_0_12 = all_19_0_8 % 4.91/2.07 | % 4.91/2.07 | Instantiating formula (1) with ex_27_0_12, ex_27_1_13, ex_27_2_14 yields: % 4.91/2.07 | (12) big_p(ex_27_1_13, ex_27_0_12) | big_p(ex_27_2_14, ex_27_1_13) % 4.91/2.07 | % 4.91/2.07 +-Applying beta-rule and splitting (12), into two cases. % 4.91/2.07 |-Branch one: % 4.91/2.07 | (13) big_p(ex_27_1_13, ex_27_0_12) % 4.91/2.07 | % 4.91/2.08 | From (10)(11) and (13) follows: % 4.91/2.08 | (14) big_p(all_1_0_1, all_19_0_8) % 4.91/2.08 | % 4.91/2.08 | From (6) and (8) follows: % 4.91/2.08 | (15) ~ big_p(all_1_0_1, all_19_0_8) % 4.91/2.08 | % 4.91/2.08 | Using (14) and (15) yields: % 4.91/2.08 | (16) $false % 4.91/2.08 | % 4.91/2.08 |-The branch is then unsatisfiable % 4.91/2.08 |-Branch two: % 4.91/2.08 | (17) big_p(ex_27_2_14, ex_27_1_13) % 4.91/2.08 | % 4.91/2.08 | From (9)(10) and (17) follows: % 4.91/2.08 | (18) big_p(arbitrary_constant, all_1_0_1) % 4.91/2.08 | % 4.91/2.08 | From (3) and (5) follows: % 4.91/2.08 | (19) ~ big_p(arbitrary_constant, all_1_0_1) % 4.91/2.08 | % 4.91/2.08 | Using (18) and (19) yields: % 4.91/2.08 | (16) $false % 4.91/2.08 | % 4.91/2.08 |-The branch is then unsatisfiable % 4.91/2.08 % SZS output end Proof for theBenchmark % 4.91/2.08 % 4.91/2.08 1486ms %------------------------------------------------------------------------------