%------------------------------------------------------------------------------ % File : ePrincess---1.0 % Problem : KRS082+1 : TPTP v8.1.0. Released v3.1.0. % Transfm : none % Format : tptp:raw % Command : ePrincess-casc -timeout=%d %s % Computer : n032.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 02:56:30 EDT 2022 % Result : Unsatisfiable 1.61s 1.00s % Output : Proof 2.44s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.10 % Problem : KRS082+1 : TPTP v8.1.0. Released v3.1.0. % 0.00/0.10 % Command : ePrincess-casc -timeout=%d %s % 0.10/0.29 % Computer : n032.cluster.edu % 0.10/0.29 % Model : x86_64 x86_64 % 0.10/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.10/0.29 % Memory : 8042.1875MB % 0.10/0.29 % OS : Linux 3.10.0-693.el7.x86_64 % 0.10/0.29 % CPULimit : 300 % 0.10/0.29 % WCLimit : 600 % 0.10/0.29 % DateTime : Tue Jun 7 18:19:51 EDT 2022 % 0.10/0.29 % CPUTime : % 0.14/0.50 ____ _ % 0.14/0.50 ___ / __ \_____(_)___ ________ __________ % 0.14/0.50 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/ % 0.14/0.50 / __/ ____/ / / / / / / /__/ __(__ |__ ) % 0.14/0.50 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/ % 0.14/0.50 % 0.14/0.50 A Theorem Prover for First-Order Logic % 0.14/0.50 (ePrincess v.1.0) % 0.14/0.50 % 0.14/0.50 (c) Philipp Rümmer, 2009-2015 % 0.14/0.50 (c) Peter Backeman, 2014-2015 % 0.14/0.50 (contributions by Angelo Brillout, Peter Baumgartner) % 0.14/0.50 Free software under GNU Lesser General Public License (LGPL). % 0.14/0.50 Bug reports to peter@backeman.se % 0.14/0.50 % 0.14/0.50 For more information, visit http://user.uu.se/~petba168/breu/ % 0.14/0.50 % 0.14/0.50 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ... % 0.14/0.54 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all % 1.13/0.77 Prover 0: Preprocessing ... % 1.42/0.87 Prover 0: Warning: ignoring some quantifiers % 1.42/0.89 Prover 0: Constructing countermodel ... % 1.61/1.00 Prover 0: proved (460ms) % 1.61/1.00 % 1.61/1.00 No countermodel exists, formula is valid % 1.61/1.00 % SZS status Unsatisfiable for theBenchmark % 1.61/1.00 % 1.61/1.00 Generating proof ... Warning: ignoring some quantifiers % 2.19/1.16 found it (size 14) % 2.19/1.16 % 2.19/1.16 % SZS output start Proof for theBenchmark % 2.19/1.16 Assumed formulas after preprocessing and simplification: % 2.19/1.16 | (0) cUnsatisfiable(i2003_11_14_17_19_28752) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ rinvS(v2, v3) | ~ rinvP(v1, v2) | ~ rinvR(v0, v1) | ~ ca(v3) | ~ cc(v0)) & ! [v0] : ! [v1] : ! [v2] : ( ~ rp(v1, v2) | ~ rp(v0, v1) | rp(v0, v2)) & ! [v0] : ! [v1] : ( ~ rinvS(v0, v1) | rs(v1, v0)) & ! [v0] : ! [v1] : ( ~ rinvP(v0, v1) | rp(v1, v0)) & ! [v0] : ! [v1] : ( ~ rinvR(v0, v1) | rr(v1, v0)) & ! [v0] : ! [v1] : ( ~ rr(v1, v0) | rinvR(v0, v1)) & ! [v0] : ! [v1] : ( ~ rp(v1, v0) | rinvP(v0, v1)) & ! [v0] : ! [v1] : ( ~ rs(v1, v0) | rinvS(v0, v1)) & ! [v0] : ( ~ cUnsatisfiable(v0) | ca(v0)) & ! [v0] : ( ~ cUnsatisfiable(v0) | ? [v1] : ? [v2] : ? [v3] : (rr(v1, v2) & rp(v1, v3) & rs(v0, v1) & cowlThing(v3) & cowlThing(v2) & ! [v4] : ! [v5] : ( ~ rr(v4, v5) | ~ rp(v1, v4) | cc(v5)) & ! [v4] : ( ~ rr(v1, v4) | cc(v4)) & ! [v4] : ( ~ rp(v1, v4) | ? [v5] : (rr(v4, v5) & cowlThing(v5))) & ! [v4] : ( ~ rp(v1, v4) | ? [v5] : (rp(v4, v5) & cowlThing(v5))))) & ! [v0] : ( ~ xsd_integer(v0) | ~ xsd_string(v0)) & ! [v0] : ~ cowlNothing(v0) & ? [v0] : (cc(v0) | ? [v1] : ? [v2] : ? [v3] : (rinvS(v2, v3) & rinvP(v1, v2) & rinvR(v0, v1) & ca(v3))) & ? [v0] : (xsd_integer(v0) | xsd_string(v0)) & ? [v0] : cowlThing(v0) % 2.44/1.17 | Applying alpha-rule on (0) yields: % 2.44/1.17 | (1) ? [v0] : cowlThing(v0) % 2.44/1.17 | (2) ! [v0] : ! [v1] : ( ~ rp(v1, v0) | rinvP(v0, v1)) % 2.44/1.17 | (3) ! [v0] : ! [v1] : ( ~ rinvP(v0, v1) | rp(v1, v0)) % 2.44/1.17 | (4) ! [v0] : ( ~ xsd_integer(v0) | ~ xsd_string(v0)) % 2.44/1.17 | (5) ! [v0] : ( ~ cUnsatisfiable(v0) | ? [v1] : ? [v2] : ? [v3] : (rr(v1, v2) & rp(v1, v3) & rs(v0, v1) & cowlThing(v3) & cowlThing(v2) & ! [v4] : ! [v5] : ( ~ rr(v4, v5) | ~ rp(v1, v4) | cc(v5)) & ! [v4] : ( ~ rr(v1, v4) | cc(v4)) & ! [v4] : ( ~ rp(v1, v4) | ? [v5] : (rr(v4, v5) & cowlThing(v5))) & ! [v4] : ( ~ rp(v1, v4) | ? [v5] : (rp(v4, v5) & cowlThing(v5))))) % 2.44/1.17 | (6) ? [v0] : (cc(v0) | ? [v1] : ? [v2] : ? [v3] : (rinvS(v2, v3) & rinvP(v1, v2) & rinvR(v0, v1) & ca(v3))) % 2.44/1.18 | (7) ! [v0] : ( ~ cUnsatisfiable(v0) | ca(v0)) % 2.44/1.18 | (8) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ rinvS(v2, v3) | ~ rinvP(v1, v2) | ~ rinvR(v0, v1) | ~ ca(v3) | ~ cc(v0)) % 2.44/1.18 | (9) ! [v0] : ! [v1] : ( ~ rs(v1, v0) | rinvS(v0, v1)) % 2.44/1.18 | (10) ! [v0] : ! [v1] : ( ~ rinvS(v0, v1) | rs(v1, v0)) % 2.44/1.18 | (11) ! [v0] : ~ cowlNothing(v0) % 2.44/1.18 | (12) cUnsatisfiable(i2003_11_14_17_19_28752) % 2.44/1.18 | (13) ! [v0] : ! [v1] : ! [v2] : ( ~ rp(v1, v2) | ~ rp(v0, v1) | rp(v0, v2)) % 2.44/1.18 | (14) ? [v0] : (xsd_integer(v0) | xsd_string(v0)) % 2.44/1.18 | (15) ! [v0] : ! [v1] : ( ~ rr(v1, v0) | rinvR(v0, v1)) % 2.44/1.18 | (16) ! [v0] : ! [v1] : ( ~ rinvR(v0, v1) | rr(v1, v0)) % 2.44/1.18 | % 2.44/1.18 | Instantiating formula (7) with i2003_11_14_17_19_28752 and discharging atoms cUnsatisfiable(i2003_11_14_17_19_28752), yields: % 2.44/1.18 | (17) ca(i2003_11_14_17_19_28752) % 2.44/1.18 | % 2.44/1.18 | Instantiating formula (5) with i2003_11_14_17_19_28752 and discharging atoms cUnsatisfiable(i2003_11_14_17_19_28752), yields: % 2.44/1.18 | (18) ? [v0] : ? [v1] : ? [v2] : (rr(v0, v1) & rp(v0, v2) & rs(i2003_11_14_17_19_28752, v0) & cowlThing(v2) & cowlThing(v1) & ! [v3] : ! [v4] : ( ~ rr(v3, v4) | ~ rp(v0, v3) | cc(v4)) & ! [v3] : ( ~ rr(v0, v3) | cc(v3)) & ! [v3] : ( ~ rp(v0, v3) | ? [v4] : (rr(v3, v4) & cowlThing(v4))) & ! [v3] : ( ~ rp(v0, v3) | ? [v4] : (rp(v3, v4) & cowlThing(v4)))) % 2.44/1.18 | % 2.44/1.18 | Instantiating (18) with all_12_0_3, all_12_1_4, all_12_2_5 yields: % 2.44/1.18 | (19) rr(all_12_2_5, all_12_1_4) & rp(all_12_2_5, all_12_0_3) & rs(i2003_11_14_17_19_28752, all_12_2_5) & cowlThing(all_12_0_3) & cowlThing(all_12_1_4) & ! [v0] : ! [v1] : ( ~ rr(v0, v1) | ~ rp(all_12_2_5, v0) | cc(v1)) & ! [v0] : ( ~ rr(all_12_2_5, v0) | cc(v0)) & ! [v0] : ( ~ rp(all_12_2_5, v0) | ? [v1] : (rr(v0, v1) & cowlThing(v1))) & ! [v0] : ( ~ rp(all_12_2_5, v0) | ? [v1] : (rp(v0, v1) & cowlThing(v1))) % 2.44/1.18 | % 2.44/1.18 | Applying alpha-rule on (19) yields: % 2.44/1.18 | (20) ! [v0] : ( ~ rr(all_12_2_5, v0) | cc(v0)) % 2.44/1.18 | (21) rp(all_12_2_5, all_12_0_3) % 2.44/1.18 | (22) ! [v0] : ! [v1] : ( ~ rr(v0, v1) | ~ rp(all_12_2_5, v0) | cc(v1)) % 2.44/1.19 | (23) rs(i2003_11_14_17_19_28752, all_12_2_5) % 2.44/1.19 | (24) ! [v0] : ( ~ rp(all_12_2_5, v0) | ? [v1] : (rp(v0, v1) & cowlThing(v1))) % 2.44/1.19 | (25) cowlThing(all_12_1_4) % 2.44/1.19 | (26) cowlThing(all_12_0_3) % 2.44/1.19 | (27) rr(all_12_2_5, all_12_1_4) % 2.44/1.19 | (28) ! [v0] : ( ~ rp(all_12_2_5, v0) | ? [v1] : (rr(v0, v1) & cowlThing(v1))) % 2.44/1.19 | % 2.44/1.19 | Instantiating formula (28) with all_12_0_3 and discharging atoms rp(all_12_2_5, all_12_0_3), yields: % 2.44/1.19 | (29) ? [v0] : (rr(all_12_0_3, v0) & cowlThing(v0)) % 2.44/1.19 | % 2.44/1.19 | Instantiating formula (2) with all_12_2_5, all_12_0_3 and discharging atoms rp(all_12_2_5, all_12_0_3), yields: % 2.44/1.19 | (30) rinvP(all_12_0_3, all_12_2_5) % 2.44/1.19 | % 2.44/1.19 | Instantiating formula (9) with i2003_11_14_17_19_28752, all_12_2_5 and discharging atoms rs(i2003_11_14_17_19_28752, all_12_2_5), yields: % 2.44/1.19 | (31) rinvS(all_12_2_5, i2003_11_14_17_19_28752) % 2.44/1.19 | % 2.44/1.19 | Instantiating (29) with all_23_0_7 yields: % 2.44/1.19 | (32) rr(all_12_0_3, all_23_0_7) & cowlThing(all_23_0_7) % 2.44/1.19 | % 2.44/1.19 | Applying alpha-rule on (32) yields: % 2.44/1.19 | (33) rr(all_12_0_3, all_23_0_7) % 2.44/1.19 | (34) cowlThing(all_23_0_7) % 2.44/1.19 | % 2.44/1.19 | Instantiating formula (22) with all_23_0_7, all_12_0_3 and discharging atoms rr(all_12_0_3, all_23_0_7), rp(all_12_2_5, all_12_0_3), yields: % 2.44/1.19 | (35) cc(all_23_0_7) % 2.44/1.19 | % 2.44/1.19 | Instantiating formula (15) with all_12_0_3, all_23_0_7 and discharging atoms rr(all_12_0_3, all_23_0_7), yields: % 2.44/1.19 | (36) rinvR(all_23_0_7, all_12_0_3) % 2.44/1.19 | % 2.44/1.19 | Instantiating formula (8) with i2003_11_14_17_19_28752, all_12_2_5, all_12_0_3, all_23_0_7 and discharging atoms rinvS(all_12_2_5, i2003_11_14_17_19_28752), rinvP(all_12_0_3, all_12_2_5), rinvR(all_23_0_7, all_12_0_3), ca(i2003_11_14_17_19_28752), cc(all_23_0_7), yields: % 2.44/1.19 | (37) $false % 2.44/1.19 | % 2.44/1.19 |-The branch is then unsatisfiable % 2.44/1.19 % SZS output end Proof for theBenchmark % 2.44/1.19 % 2.44/1.19 684ms %------------------------------------------------------------------------------