%------------------------------------------------------------------------------ % File : ePrincess---1.0 % Problem : KRS121+1 : TPTP v8.1.0. Released v3.1.0. % Transfm : none % Format : tptp:raw % Command : ePrincess-casc -timeout=%d %s % Computer : n022.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 02:56:37 EDT 2022 % Result : Unsatisfiable 2.59s 1.28s % Output : Proof 3.53s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.06/0.12 % Problem : KRS121+1 : TPTP v8.1.0. Released v3.1.0. % 0.06/0.12 % Command : ePrincess-casc -timeout=%d %s % 0.13/0.33 % Computer : n022.cluster.edu % 0.13/0.33 % Model : x86_64 x86_64 % 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.33 % Memory : 8042.1875MB % 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.33 % CPULimit : 300 % 0.13/0.33 % WCLimit : 600 % 0.13/0.33 % DateTime : Tue Jun 7 07:13:35 EDT 2022 % 0.13/0.33 % CPUTime : % 0.46/0.62 ____ _ % 0.46/0.62 ___ / __ \_____(_)___ ________ __________ % 0.46/0.62 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/ % 0.46/0.62 / __/ ____/ / / / / / / /__/ __(__ |__ ) % 0.46/0.62 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/ % 0.46/0.62 % 0.46/0.62 A Theorem Prover for First-Order Logic % 0.46/0.62 (ePrincess v.1.0) % 0.46/0.62 % 0.46/0.62 (c) Philipp Rümmer, 2009-2015 % 0.67/0.62 (c) Peter Backeman, 2014-2015 % 0.67/0.62 (contributions by Angelo Brillout, Peter Baumgartner) % 0.67/0.62 Free software under GNU Lesser General Public License (LGPL). % 0.67/0.62 Bug reports to peter@backeman.se % 0.67/0.62 % 0.67/0.62 For more information, visit http://user.uu.se/~petba168/breu/ % 0.67/0.62 % 0.67/0.62 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ... % 0.67/0.67 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all % 1.62/0.98 Prover 0: Preprocessing ... % 2.10/1.14 Prover 0: Warning: ignoring some quantifiers % 2.18/1.16 Prover 0: Constructing countermodel ... % 2.37/1.27 Prover 0: proved (602ms) % 2.59/1.28 % 2.59/1.28 No countermodel exists, formula is valid % 2.59/1.28 % SZS status Unsatisfiable for theBenchmark % 2.59/1.28 % 2.59/1.28 Generating proof ... Warning: ignoring some quantifiers % 3.26/1.50 found it (size 15) % 3.26/1.50 % 3.26/1.50 % SZS output start Proof for theBenchmark % 3.26/1.50 Assumed formulas after preprocessing and simplification: % 3.26/1.50 | (0) cUnsatisfiable(i2003_11_14_17_21_5199) & ! [v0] : ! [v1] : ! [v2] : (v2 = v1 | ~ rf(v0, v2) | ~ rf(v0, v1)) & ! [v0] : ! [v1] : ! [v2] : ( ~ rr(v1, v2) | ~ rr(v0, v1) | rr(v0, v2)) & ! [v0] : ! [v1] : ( ~ rr(v1, v0) | rinvR(v0, v1)) & ! [v0] : ! [v1] : ( ~ rr(v0, v1) | ~ cp1(v0) | ~ ca_Vx3(v1) | cUnsatisfiable(v0)) & ! [v0] : ! [v1] : ( ~ rr(v0, v1) | ~ ca_Ax2(v1) | ca_Vx3(v0)) & ! [v0] : ! [v1] : ( ~ rinvR(v0, v1) | ~ ca_Ax2(v0) | cp1xcomp(v1)) & ! [v0] : ! [v1] : ( ~ rinvR(v0, v1) | rr(v1, v0)) & ! [v0] : ! [v1] : ( ~ rinvF(v0, v1) | rf(v1, v0)) & ! [v0] : ! [v1] : ( ~ rf(v1, v0) | rinvF(v0, v1)) & ! [v0] : ! [v1] : ( ~ ra_Px1(v0, v1) | ~ cp1(v0)) & ! [v0] : ! [v1] : ( ~ ra_Px1(v0, v1) | cp1xcomp(v0)) & ! [v0] : ( ~ xsd_string(v0) | ~ xsd_integer(v0)) & ! [v0] : ( ~ cp1xcomp(v0) | ? [v1] : ra_Px1(v0, v1)) & ! [v0] : ( ~ cp1(v0) | ca_Ax2(v0) | ? [v1] : (rinvR(v0, v1) & ~ cp1xcomp(v1))) & ! [v0] : ~ cowlNothing(v0) & ! [v0] : ( ~ ca_Vx3(v0) | ? [v1] : (rr(v0, v1) & ca_Ax2(v1))) & ! [v0] : ( ~ ca_Ax2(v0) | cp1(v0)) & ! [v0] : ( ~ cUnsatisfiable(v0) | cp1(v0)) & ! [v0] : ( ~ cUnsatisfiable(v0) | ? [v1] : (rr(v0, v1) & ca_Vx3(v1))) & ? [v0] : (xsd_string(v0) | xsd_integer(v0)) & ? [v0] : (cp1(v0) | ? [v1] : ra_Px1(v0, v1)) & ? [v0] : cowlThing(v0) % 3.26/1.51 | Applying alpha-rule on (0) yields: % 3.26/1.51 | (1) ! [v0] : ( ~ xsd_string(v0) | ~ xsd_integer(v0)) % 3.26/1.51 | (2) ! [v0] : ! [v1] : ( ~ rf(v1, v0) | rinvF(v0, v1)) % 3.26/1.51 | (3) ! [v0] : ! [v1] : ( ~ rinvF(v0, v1) | rf(v1, v0)) % 3.26/1.51 | (4) ! [v0] : ( ~ ca_Vx3(v0) | ? [v1] : (rr(v0, v1) & ca_Ax2(v1))) % 3.26/1.51 | (5) ! [v0] : ! [v1] : ( ~ ra_Px1(v0, v1) | cp1xcomp(v0)) % 3.26/1.52 | (6) ! [v0] : ! [v1] : ( ~ rr(v0, v1) | ~ cp1(v0) | ~ ca_Vx3(v1) | cUnsatisfiable(v0)) % 3.26/1.52 | (7) ! [v0] : ! [v1] : ( ~ rinvR(v0, v1) | rr(v1, v0)) % 3.26/1.52 | (8) ! [v0] : ! [v1] : ( ~ rr(v1, v0) | rinvR(v0, v1)) % 3.26/1.52 | (9) ! [v0] : ! [v1] : ! [v2] : ( ~ rr(v1, v2) | ~ rr(v0, v1) | rr(v0, v2)) % 3.26/1.52 | (10) ! [v0] : ( ~ cp1(v0) | ca_Ax2(v0) | ? [v1] : (rinvR(v0, v1) & ~ cp1xcomp(v1))) % 3.26/1.52 | (11) ? [v0] : (cp1(v0) | ? [v1] : ra_Px1(v0, v1)) % 3.26/1.52 | (12) ! [v0] : ! [v1] : ( ~ ra_Px1(v0, v1) | ~ cp1(v0)) % 3.26/1.52 | (13) ! [v0] : ~ cowlNothing(v0) % 3.26/1.52 | (14) ? [v0] : cowlThing(v0) % 3.26/1.52 | (15) ? [v0] : (xsd_string(v0) | xsd_integer(v0)) % 3.26/1.52 | (16) ! [v0] : ! [v1] : ! [v2] : (v2 = v1 | ~ rf(v0, v2) | ~ rf(v0, v1)) % 3.26/1.52 | (17) ! [v0] : ( ~ ca_Ax2(v0) | cp1(v0)) % 3.26/1.52 | (18) ! [v0] : ! [v1] : ( ~ rr(v0, v1) | ~ ca_Ax2(v1) | ca_Vx3(v0)) % 3.26/1.52 | (19) ! [v0] : ! [v1] : ( ~ rinvR(v0, v1) | ~ ca_Ax2(v0) | cp1xcomp(v1)) % 3.26/1.52 | (20) ! [v0] : ( ~ cp1xcomp(v0) | ? [v1] : ra_Px1(v0, v1)) % 3.26/1.52 | (21) cUnsatisfiable(i2003_11_14_17_21_5199) % 3.26/1.52 | (22) ! [v0] : ( ~ cUnsatisfiable(v0) | ? [v1] : (rr(v0, v1) & ca_Vx3(v1))) % 3.53/1.52 | (23) ! [v0] : ( ~ cUnsatisfiable(v0) | cp1(v0)) % 3.53/1.52 | % 3.53/1.52 | Instantiating formula (23) with i2003_11_14_17_21_5199 and discharging atoms cUnsatisfiable(i2003_11_14_17_21_5199), yields: % 3.53/1.52 | (24) cp1(i2003_11_14_17_21_5199) % 3.53/1.52 | % 3.53/1.52 | Instantiating formula (22) with i2003_11_14_17_21_5199 and discharging atoms cUnsatisfiable(i2003_11_14_17_21_5199), yields: % 3.53/1.52 | (25) ? [v0] : (rr(i2003_11_14_17_21_5199, v0) & ca_Vx3(v0)) % 3.53/1.52 | % 3.53/1.52 | Instantiating (25) with all_12_0_3 yields: % 3.53/1.52 | (26) rr(i2003_11_14_17_21_5199, all_12_0_3) & ca_Vx3(all_12_0_3) % 3.53/1.52 | % 3.53/1.52 | Applying alpha-rule on (26) yields: % 3.53/1.52 | (27) rr(i2003_11_14_17_21_5199, all_12_0_3) % 3.53/1.53 | (28) ca_Vx3(all_12_0_3) % 3.53/1.53 | % 3.53/1.53 | Instantiating formula (4) with all_12_0_3 and discharging atoms ca_Vx3(all_12_0_3), yields: % 3.53/1.53 | (29) ? [v0] : (rr(all_12_0_3, v0) & ca_Ax2(v0)) % 3.53/1.53 | % 3.53/1.53 | Instantiating (29) with all_20_0_4 yields: % 3.53/1.53 | (30) rr(all_12_0_3, all_20_0_4) & ca_Ax2(all_20_0_4) % 3.53/1.53 | % 3.53/1.53 | Applying alpha-rule on (30) yields: % 3.53/1.53 | (31) rr(all_12_0_3, all_20_0_4) % 3.53/1.53 | (32) ca_Ax2(all_20_0_4) % 3.53/1.53 | % 3.53/1.53 | Instantiating formula (9) with all_20_0_4, all_12_0_3, i2003_11_14_17_21_5199 and discharging atoms rr(all_12_0_3, all_20_0_4), rr(i2003_11_14_17_21_5199, all_12_0_3), yields: % 3.53/1.53 | (33) rr(i2003_11_14_17_21_5199, all_20_0_4) % 3.53/1.53 | % 3.53/1.53 | Instantiating formula (8) with i2003_11_14_17_21_5199, all_20_0_4 and discharging atoms rr(i2003_11_14_17_21_5199, all_20_0_4), yields: % 3.53/1.53 | (34) rinvR(all_20_0_4, i2003_11_14_17_21_5199) % 3.53/1.53 | % 3.53/1.53 | Instantiating formula (19) with i2003_11_14_17_21_5199, all_20_0_4 and discharging atoms rinvR(all_20_0_4, i2003_11_14_17_21_5199), ca_Ax2(all_20_0_4), yields: % 3.53/1.53 | (35) cp1xcomp(i2003_11_14_17_21_5199) % 3.53/1.53 | % 3.53/1.53 | Instantiating formula (20) with i2003_11_14_17_21_5199 and discharging atoms cp1xcomp(i2003_11_14_17_21_5199), yields: % 3.53/1.53 | (36) ? [v0] : ra_Px1(i2003_11_14_17_21_5199, v0) % 3.53/1.53 | % 3.53/1.53 | Instantiating (36) with all_50_0_7 yields: % 3.53/1.53 | (37) ra_Px1(i2003_11_14_17_21_5199, all_50_0_7) % 3.53/1.53 | % 3.53/1.53 | Instantiating formula (12) with all_50_0_7, i2003_11_14_17_21_5199 and discharging atoms ra_Px1(i2003_11_14_17_21_5199, all_50_0_7), cp1(i2003_11_14_17_21_5199), yields: % 3.53/1.53 | (38) $false % 3.53/1.53 | % 3.53/1.53 |-The branch is then unsatisfiable % 3.53/1.53 % SZS output end Proof for theBenchmark % 3.53/1.53 % 3.53/1.53 897ms %------------------------------------------------------------------------------