%------------------------------------------------------------------------------ % File : ePrincess---1.0 % Problem : SYN060+1 : TPTP v8.1.0. Released v2.0.0. % Transfm : none % Format : tptp:raw % Command : ePrincess-casc -timeout=%d %s % Computer : n006.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 04:59:32 EDT 2022 % Result : Theorem 2.17s 1.18s % Output : Proof 2.68s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.12 % Problem : SYN060+1 : TPTP v8.1.0. Released v2.0.0. % 0.03/0.13 % Command : ePrincess-casc -timeout=%d %s % 0.14/0.34 % Computer : n006.cluster.edu % 0.14/0.34 % Model : x86_64 x86_64 % 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.14/0.34 % Memory : 8042.1875MB % 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.14/0.34 % CPULimit : 300 % 0.14/0.34 % WCLimit : 600 % 0.14/0.34 % DateTime : Tue Jul 12 06:06:35 EDT 2022 % 0.14/0.34 % CPUTime : % 0.53/0.60 ____ _ % 0.53/0.60 ___ / __ \_____(_)___ ________ __________ % 0.53/0.60 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/ % 0.53/0.60 / __/ ____/ / / / / / / /__/ __(__ |__ ) % 0.53/0.60 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/ % 0.53/0.60 % 0.53/0.60 A Theorem Prover for First-Order Logic % 0.53/0.60 (ePrincess v.1.0) % 0.53/0.60 % 0.53/0.60 (c) Philipp Rümmer, 2009-2015 % 0.53/0.60 (c) Peter Backeman, 2014-2015 % 0.53/0.60 (contributions by Angelo Brillout, Peter Baumgartner) % 0.53/0.60 Free software under GNU Lesser General Public License (LGPL). % 0.53/0.60 Bug reports to peter@backeman.se % 0.53/0.60 % 0.53/0.60 For more information, visit http://user.uu.se/~petba168/breu/ % 0.53/0.60 % 0.53/0.60 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ... % 0.73/0.65 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all % 1.32/0.88 Prover 0: Preprocessing ... % 1.49/0.94 Prover 0: Warning: ignoring some quantifiers % 1.49/0.96 Prover 0: Constructing countermodel ... % 1.71/1.07 Prover 0: gave up % 1.71/1.07 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -resolutionMethod=normal +ignoreQuantifiers -generateTriggers=all % 1.90/1.09 Prover 1: Preprocessing ... % 1.90/1.14 Prover 1: Constructing countermodel ... % 2.17/1.18 Prover 1: proved (109ms) % 2.17/1.18 % 2.17/1.18 No countermodel exists, formula is valid % 2.17/1.18 % SZS status Theorem for theBenchmark % 2.17/1.18 % 2.17/1.18 Generating proof ... found it (size 18) % 2.60/1.33 % 2.60/1.33 % SZS output start Proof for theBenchmark % 2.60/1.33 Assumed formulas after preprocessing and simplification: % 2.60/1.33 | (0) ? [v0] : ? [v1] : ( ~ (v1 = 0) & big_i(v0) = v1 & ! [v2] : ! [v3] : ! [v4] : (v3 = v2 | ~ (big_i(v4) = v3) | ~ (big_i(v4) = v2)) & ! [v2] : ! [v3] : ! [v4] : (v3 = v2 | ~ (big_h(v4) = v3) | ~ (big_h(v4) = v2)) & ! [v2] : ! [v3] : ! [v4] : (v3 = v2 | ~ (big_f(v4) = v3) | ~ (big_f(v4) = v2)) & ! [v2] : ! [v3] : ! [v4] : (v3 = v2 | ~ (big_g(v4) = v3) | ~ (big_g(v4) = v2)) & ! [v2] : ! [v3] : ( ~ (big_i(v2) = v3) | ? [v4] : ? [v5] : ? [v6] : (big_h(v2) = v6 & big_f(v2) = v5 & big_g(v2) = v4 & ((v6 = 0 & v5 = 0) | (v4 = 0 & v3 = 0)))) & ! [v2] : ( ~ (big_h(v2) = 0) | ? [v3] : ? [v4] : ( ~ (v4 = 0) & ~ (v3 = 0) & big_f(v2) = v3 & big_g(v2) = v4))) % 2.68/1.36 | Instantiating (0) with all_0_0_0, all_0_1_1 yields: % 2.68/1.36 | (1) ~ (all_0_0_0 = 0) & big_i(all_0_1_1) = all_0_0_0 & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (big_i(v2) = v1) | ~ (big_i(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (big_h(v2) = v1) | ~ (big_h(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (big_f(v2) = v1) | ~ (big_f(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (big_g(v2) = v1) | ~ (big_g(v2) = v0)) & ! [v0] : ! [v1] : ( ~ (big_i(v0) = v1) | ? [v2] : ? [v3] : ? [v4] : (big_h(v0) = v4 & big_f(v0) = v3 & big_g(v0) = v2 & ((v4 = 0 & v3 = 0) | (v2 = 0 & v1 = 0)))) & ! [v0] : ( ~ (big_h(v0) = 0) | ? [v1] : ? [v2] : ( ~ (v2 = 0) & ~ (v1 = 0) & big_f(v0) = v1 & big_g(v0) = v2)) % 2.68/1.36 | % 2.68/1.36 | Applying alpha-rule on (1) yields: % 2.68/1.36 | (2) ~ (all_0_0_0 = 0) % 2.68/1.36 | (3) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (big_i(v2) = v1) | ~ (big_i(v2) = v0)) % 2.68/1.37 | (4) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (big_f(v2) = v1) | ~ (big_f(v2) = v0)) % 2.68/1.37 | (5) ! [v0] : ! [v1] : ( ~ (big_i(v0) = v1) | ? [v2] : ? [v3] : ? [v4] : (big_h(v0) = v4 & big_f(v0) = v3 & big_g(v0) = v2 & ((v4 = 0 & v3 = 0) | (v2 = 0 & v1 = 0)))) % 2.68/1.37 | (6) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (big_h(v2) = v1) | ~ (big_h(v2) = v0)) % 2.68/1.37 | (7) big_i(all_0_1_1) = all_0_0_0 % 2.68/1.37 | (8) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (big_g(v2) = v1) | ~ (big_g(v2) = v0)) % 2.68/1.37 | (9) ! [v0] : ( ~ (big_h(v0) = 0) | ? [v1] : ? [v2] : ( ~ (v2 = 0) & ~ (v1 = 0) & big_f(v0) = v1 & big_g(v0) = v2)) % 2.68/1.37 | % 2.68/1.37 | Instantiating formula (5) with all_0_0_0, all_0_1_1 and discharging atoms big_i(all_0_1_1) = all_0_0_0, yields: % 2.68/1.37 | (10) ? [v0] : ? [v1] : ? [v2] : (big_h(all_0_1_1) = v2 & big_f(all_0_1_1) = v1 & big_g(all_0_1_1) = v0 & ((v2 = 0 & v1 = 0) | (v0 = 0 & all_0_0_0 = 0))) % 2.68/1.37 | % 2.68/1.37 | Instantiating (10) with all_8_0_2, all_8_1_3, all_8_2_4 yields: % 2.68/1.37 | (11) big_h(all_0_1_1) = all_8_0_2 & big_f(all_0_1_1) = all_8_1_3 & big_g(all_0_1_1) = all_8_2_4 & ((all_8_0_2 = 0 & all_8_1_3 = 0) | (all_8_2_4 = 0 & all_0_0_0 = 0)) % 2.68/1.37 | % 2.68/1.37 | Applying alpha-rule on (11) yields: % 2.68/1.37 | (12) big_h(all_0_1_1) = all_8_0_2 % 2.68/1.37 | (13) big_f(all_0_1_1) = all_8_1_3 % 2.68/1.37 | (14) big_g(all_0_1_1) = all_8_2_4 % 2.68/1.37 | (15) (all_8_0_2 = 0 & all_8_1_3 = 0) | (all_8_2_4 = 0 & all_0_0_0 = 0) % 2.68/1.37 | % 2.68/1.37 +-Applying beta-rule and splitting (15), into two cases. % 2.68/1.37 |-Branch one: % 2.68/1.37 | (16) all_8_0_2 = 0 & all_8_1_3 = 0 % 2.68/1.37 | % 2.68/1.37 | Applying alpha-rule on (16) yields: % 2.68/1.37 | (17) all_8_0_2 = 0 % 2.68/1.37 | (18) all_8_1_3 = 0 % 2.68/1.37 | % 2.68/1.38 | From (17) and (12) follows: % 2.68/1.38 | (19) big_h(all_0_1_1) = 0 % 2.68/1.38 | % 2.68/1.38 | From (18) and (13) follows: % 2.68/1.38 | (20) big_f(all_0_1_1) = 0 % 2.68/1.38 | % 2.68/1.38 | Instantiating formula (9) with all_0_1_1 and discharging atoms big_h(all_0_1_1) = 0, yields: % 2.68/1.38 | (21) ? [v0] : ? [v1] : ( ~ (v1 = 0) & ~ (v0 = 0) & big_f(all_0_1_1) = v0 & big_g(all_0_1_1) = v1) % 2.68/1.38 | % 2.68/1.38 | Instantiating (21) with all_19_0_5, all_19_1_6 yields: % 2.68/1.38 | (22) ~ (all_19_0_5 = 0) & ~ (all_19_1_6 = 0) & big_f(all_0_1_1) = all_19_1_6 & big_g(all_0_1_1) = all_19_0_5 % 2.68/1.38 | % 2.68/1.38 | Applying alpha-rule on (22) yields: % 2.68/1.38 | (23) ~ (all_19_0_5 = 0) % 2.68/1.38 | (24) ~ (all_19_1_6 = 0) % 2.68/1.38 | (25) big_f(all_0_1_1) = all_19_1_6 % 2.68/1.38 | (26) big_g(all_0_1_1) = all_19_0_5 % 2.68/1.38 | % 2.68/1.38 | Instantiating formula (4) with all_0_1_1, all_19_1_6, 0 and discharging atoms big_f(all_0_1_1) = all_19_1_6, big_f(all_0_1_1) = 0, yields: % 2.68/1.38 | (27) all_19_1_6 = 0 % 2.68/1.38 | % 2.68/1.38 | Equations (27) can reduce 24 to: % 2.68/1.38 | (28) $false % 2.68/1.38 | % 2.68/1.38 |-The branch is then unsatisfiable % 2.68/1.38 |-Branch two: % 2.68/1.38 | (29) all_8_2_4 = 0 & all_0_0_0 = 0 % 2.68/1.38 | % 2.68/1.38 | Applying alpha-rule on (29) yields: % 2.68/1.38 | (30) all_8_2_4 = 0 % 2.68/1.38 | (31) all_0_0_0 = 0 % 2.68/1.38 | % 2.68/1.38 | Equations (31) can reduce 2 to: % 2.68/1.38 | (28) $false % 2.68/1.38 | % 2.68/1.38 |-The branch is then unsatisfiable % 2.68/1.38 % SZS output end Proof for theBenchmark % 2.68/1.38 % 2.68/1.38 766ms %------------------------------------------------------------------------------