%------------------------------------------------------------------------------ % File : ePrincess---1.0 % Problem : KRS113+1 : TPTP v8.1.0. Released v3.1.0. % Transfm : none % Format : tptp:raw % Command : ePrincess-casc -timeout=%d %s % Computer : n027.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 : Sun Jul 17 02:56:36 EDT 2022 % Result : Unsatisfiable 2.29s 1.30s % Output : Proof 3.15s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.04/0.14 % Problem : KRS113+1 : TPTP v8.1.0. Released v3.1.0. % 0.13/0.15 % Command : ePrincess-casc -timeout=%d %s % 0.14/0.36 % Computer : n027.cluster.edu % 0.14/0.36 % Model : x86_64 x86_64 % 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.14/0.36 % Memory : 8042.1875MB % 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64 % 0.14/0.36 % CPULimit : 300 % 0.14/0.36 % WCLimit : 600 % 0.14/0.36 % DateTime : Tue Jun 7 11:08:10 EDT 2022 % 0.14/0.36 % CPUTime : % 0.67/0.67 ____ _ % 0.67/0.67 ___ / __ \_____(_)___ ________ __________ % 0.67/0.67 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/ % 0.67/0.67 / __/ ____/ / / / / / / /__/ __(__ |__ ) % 0.67/0.67 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/ % 0.67/0.67 % 0.67/0.67 A Theorem Prover for First-Order Logic % 0.67/0.67 (ePrincess v.1.0) % 0.67/0.67 % 0.67/0.67 (c) Philipp Rümmer, 2009-2015 % 0.67/0.67 (c) Peter Backeman, 2014-2015 % 0.67/0.67 (contributions by Angelo Brillout, Peter Baumgartner) % 0.67/0.67 Free software under GNU Lesser General Public License (LGPL). % 0.67/0.67 Bug reports to peter@backeman.se % 0.67/0.67 % 0.67/0.67 For more information, visit http://user.uu.se/~petba168/breu/ % 0.67/0.67 % 0.67/0.67 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ... % 0.67/0.72 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all % 1.57/1.03 Prover 0: Preprocessing ... % 2.03/1.17 Prover 0: Warning: ignoring some quantifiers % 2.11/1.19 Prover 0: Constructing countermodel ... % 2.29/1.30 Prover 0: proved (580ms) % 2.29/1.30 % 2.29/1.30 No countermodel exists, formula is valid % 2.29/1.30 % SZS status Unsatisfiable for theBenchmark % 2.29/1.30 % 2.29/1.30 Generating proof ... Warning: ignoring some quantifiers % 3.15/1.48 found it (size 17) % 3.15/1.48 % 3.15/1.48 % SZS output start Proof for theBenchmark % 3.15/1.49 Assumed formulas after preprocessing and simplification: % 3.15/1.49 | (0) cUnsatisfiable(i2003_11_14_17_21_22376) & ! [v0] : ! [v1] : ! [v2] : (v2 = v1 | ~ rr(v0, v2) | ~ rr(v0, v1) | ~ cUnsatisfiable(v0)) & ! [v0] : ! [v1] : ! [v2] : ( ~ rs(v0, v1) | ~ rr(v0, v2) | ~ cpxcomp(v0) | ~ cp(v1) | ~ ca_Vx2(v2) | cUnsatisfiable(v0) | ? [v3] : ? [v4] : ( ~ (v4 = v3) & rr(v0, v4) & rr(v0, v3))) & ! [v0] : ! [v1] : ( ~ rs(v1, v0) | rinvS(v0, v1)) & ! [v0] : ! [v1] : ( ~ rs(v0, v1) | rr(v0, v1)) & ! [v0] : ! [v1] : ( ~ rinvS(v0, v1) | ~ ca_Vx2(v0) | cp(v1)) & ! [v0] : ! [v1] : ( ~ rinvS(v0, v1) | rs(v1, v0)) & ! [v0] : ! [v1] : ( ~ ra_Px1(v0, v1) | ~ cp(v0)) & ! [v0] : ! [v1] : ( ~ ra_Px1(v0, v1) | cpxcomp(v0)) & ! [v0] : ( ~ xsd_string(v0) | ~ xsd_integer(v0)) & ! [v0] : ( ~ cpxcomp(v0) | ? [v1] : ra_Px1(v0, v1)) & ! [v0] : ~ cowlNothing(v0) & ! [v0] : ( ~ cUnsatisfiable(v0) | cpxcomp(v0)) & ! [v0] : ( ~ cUnsatisfiable(v0) | ? [v1] : (rs(v0, v1) & cp(v1))) & ! [v0] : ( ~ cUnsatisfiable(v0) | ? [v1] : (rr(v0, v1) & ca_Vx2(v1))) & ? [v0] : (xsd_string(v0) | xsd_integer(v0)) & ? [v0] : (cp(v0) | ? [v1] : ra_Px1(v0, v1)) & ? [v0] : cowlThing(v0) & ? [v0] : (ca_Vx2(v0) | ? [v1] : (rinvS(v0, v1) & ~ cp(v1))) % 3.15/1.50 | Applying alpha-rule on (0) yields: % 3.15/1.50 | (1) ? [v0] : (cp(v0) | ? [v1] : ra_Px1(v0, v1)) % 3.15/1.50 | (2) cUnsatisfiable(i2003_11_14_17_21_22376) % 3.15/1.50 | (3) ! [v0] : ( ~ cUnsatisfiable(v0) | ? [v1] : (rs(v0, v1) & cp(v1))) % 3.15/1.50 | (4) ! [v0] : ! [v1] : ( ~ rs(v0, v1) | rr(v0, v1)) % 3.15/1.50 | (5) ! [v0] : ! [v1] : ( ~ rinvS(v0, v1) | ~ ca_Vx2(v0) | cp(v1)) % 3.15/1.50 | (6) ! [v0] : ( ~ xsd_string(v0) | ~ xsd_integer(v0)) % 3.15/1.50 | (7) ! [v0] : ( ~ cpxcomp(v0) | ? [v1] : ra_Px1(v0, v1)) % 3.15/1.50 | (8) ! [v0] : ! [v1] : ! [v2] : (v2 = v1 | ~ rr(v0, v2) | ~ rr(v0, v1) | ~ cUnsatisfiable(v0)) % 3.15/1.50 | (9) ! [v0] : ! [v1] : ( ~ ra_Px1(v0, v1) | ~ cp(v0)) % 3.15/1.50 | (10) ! [v0] : ! [v1] : ! [v2] : ( ~ rs(v0, v1) | ~ rr(v0, v2) | ~ cpxcomp(v0) | ~ cp(v1) | ~ ca_Vx2(v2) | cUnsatisfiable(v0) | ? [v3] : ? [v4] : ( ~ (v4 = v3) & rr(v0, v4) & rr(v0, v3))) % 3.15/1.50 | (11) ? [v0] : (xsd_string(v0) | xsd_integer(v0)) % 3.15/1.50 | (12) ? [v0] : cowlThing(v0) % 3.15/1.50 | (13) ! [v0] : ! [v1] : ( ~ rinvS(v0, v1) | rs(v1, v0)) % 3.15/1.50 | (14) ! [v0] : ! [v1] : ( ~ rs(v1, v0) | rinvS(v0, v1)) % 3.15/1.50 | (15) ! [v0] : ~ cowlNothing(v0) % 3.15/1.51 | (16) ! [v0] : ! [v1] : ( ~ ra_Px1(v0, v1) | cpxcomp(v0)) % 3.15/1.51 | (17) ? [v0] : (ca_Vx2(v0) | ? [v1] : (rinvS(v0, v1) & ~ cp(v1))) % 3.15/1.51 | (18) ! [v0] : ( ~ cUnsatisfiable(v0) | ? [v1] : (rr(v0, v1) & ca_Vx2(v1))) % 3.15/1.51 | (19) ! [v0] : ( ~ cUnsatisfiable(v0) | cpxcomp(v0)) % 3.15/1.51 | % 3.15/1.51 | Instantiating formula (19) with i2003_11_14_17_21_22376 and discharging atoms cUnsatisfiable(i2003_11_14_17_21_22376), yields: % 3.15/1.51 | (20) cpxcomp(i2003_11_14_17_21_22376) % 3.15/1.51 | % 3.15/1.51 | Instantiating formula (3) with i2003_11_14_17_21_22376 and discharging atoms cUnsatisfiable(i2003_11_14_17_21_22376), yields: % 3.15/1.51 | (21) ? [v0] : (rs(i2003_11_14_17_21_22376, v0) & cp(v0)) % 3.15/1.51 | % 3.15/1.51 | Instantiating formula (18) with i2003_11_14_17_21_22376 and discharging atoms cUnsatisfiable(i2003_11_14_17_21_22376), yields: % 3.15/1.51 | (22) ? [v0] : (rr(i2003_11_14_17_21_22376, v0) & ca_Vx2(v0)) % 3.15/1.51 | % 3.15/1.51 | Instantiating (21) with all_13_0_4 yields: % 3.15/1.51 | (23) rs(i2003_11_14_17_21_22376, all_13_0_4) & cp(all_13_0_4) % 3.15/1.51 | % 3.15/1.51 | Applying alpha-rule on (23) yields: % 3.15/1.51 | (24) rs(i2003_11_14_17_21_22376, all_13_0_4) % 3.15/1.51 | (25) cp(all_13_0_4) % 3.15/1.51 | % 3.15/1.51 | Instantiating (22) with all_15_0_5 yields: % 3.15/1.51 | (26) rr(i2003_11_14_17_21_22376, all_15_0_5) & ca_Vx2(all_15_0_5) % 3.15/1.51 | % 3.15/1.51 | Applying alpha-rule on (26) yields: % 3.15/1.51 | (27) rr(i2003_11_14_17_21_22376, all_15_0_5) % 3.15/1.51 | (28) ca_Vx2(all_15_0_5) % 3.15/1.51 | % 3.15/1.51 | Instantiating formula (14) with i2003_11_14_17_21_22376, all_13_0_4 and discharging atoms rs(i2003_11_14_17_21_22376, all_13_0_4), yields: % 3.15/1.51 | (29) rinvS(all_13_0_4, i2003_11_14_17_21_22376) % 3.15/1.51 | % 3.15/1.51 | Instantiating formula (4) with all_13_0_4, i2003_11_14_17_21_22376 and discharging atoms rs(i2003_11_14_17_21_22376, all_13_0_4), yields: % 3.15/1.51 | (30) rr(i2003_11_14_17_21_22376, all_13_0_4) % 3.15/1.51 | % 3.15/1.51 | Instantiating formula (7) with i2003_11_14_17_21_22376 and discharging atoms cpxcomp(i2003_11_14_17_21_22376), yields: % 3.15/1.51 | (31) ? [v0] : ra_Px1(i2003_11_14_17_21_22376, v0) % 3.15/1.51 | % 3.15/1.51 | Instantiating (31) with all_23_0_6 yields: % 3.15/1.51 | (32) ra_Px1(i2003_11_14_17_21_22376, all_23_0_6) % 3.15/1.51 | % 3.15/1.51 | Instantiating formula (8) with all_13_0_4, all_15_0_5, i2003_11_14_17_21_22376 and discharging atoms rr(i2003_11_14_17_21_22376, all_15_0_5), rr(i2003_11_14_17_21_22376, all_13_0_4), cUnsatisfiable(i2003_11_14_17_21_22376), yields: % 3.15/1.51 | (33) all_15_0_5 = all_13_0_4 % 3.15/1.51 | % 3.15/1.51 | From (33) and (28) follows: % 3.15/1.51 | (34) ca_Vx2(all_13_0_4) % 3.15/1.51 | % 3.15/1.51 | Instantiating formula (5) with i2003_11_14_17_21_22376, all_13_0_4 and discharging atoms rinvS(all_13_0_4, i2003_11_14_17_21_22376), ca_Vx2(all_13_0_4), yields: % 3.15/1.51 | (35) cp(i2003_11_14_17_21_22376) % 3.15/1.51 | % 3.15/1.51 | Instantiating formula (9) with all_23_0_6, i2003_11_14_17_21_22376 and discharging atoms ra_Px1(i2003_11_14_17_21_22376, all_23_0_6), cp(i2003_11_14_17_21_22376), yields: % 3.15/1.51 | (36) $false % 3.15/1.51 | % 3.15/1.52 |-The branch is then unsatisfiable % 3.15/1.52 % SZS output end Proof for theBenchmark % 3.15/1.52 % 3.15/1.52 833ms %------------------------------------------------------------------------------