%------------------------------------------------------------------------------ % File : ePrincess---1.0 % Problem : KRS122+1 : TPTP v8.1.0. Released v3.1.0. % Transfm : none % Format : tptp:raw % Command : ePrincess-casc -timeout=%d %s % Computer : n021.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 2.39s 1.21s % Output : Proof 3.09s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.11 % Problem : KRS122+1 : TPTP v8.1.0. Released v3.1.0. % 0.03/0.12 % Command : ePrincess-casc -timeout=%d %s % 0.12/0.33 % Computer : n021.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 Jun 7 10:46:21 EDT 2022 % 0.12/0.33 % CPUTime : % 0.55/0.61 ____ _ % 0.55/0.61 ___ / __ \_____(_)___ ________ __________ % 0.55/0.61 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/ % 0.55/0.61 / __/ ____/ / / / / / / /__/ __(__ |__ ) % 0.55/0.61 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/ % 0.55/0.61 % 0.55/0.61 A Theorem Prover for First-Order Logic % 0.55/0.61 (ePrincess v.1.0) % 0.55/0.61 % 0.55/0.61 (c) Philipp Rümmer, 2009-2015 % 0.55/0.61 (c) Peter Backeman, 2014-2015 % 0.55/0.61 (contributions by Angelo Brillout, Peter Baumgartner) % 0.55/0.61 Free software under GNU Lesser General Public License (LGPL). % 0.55/0.61 Bug reports to peter@backeman.se % 0.55/0.61 % 0.55/0.61 For more information, visit http://user.uu.se/~petba168/breu/ % 0.55/0.61 % 0.55/0.61 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ... % 0.76/0.66 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all % 1.65/0.94 Prover 0: Preprocessing ... % 2.07/1.09 Prover 0: Warning: ignoring some quantifiers % 2.07/1.11 Prover 0: Constructing countermodel ... % 2.39/1.21 Prover 0: proved (545ms) % 2.39/1.21 % 2.39/1.21 No countermodel exists, formula is valid % 2.39/1.21 % SZS status Unsatisfiable for theBenchmark % 2.39/1.21 % 2.39/1.21 Generating proof ... Warning: ignoring some quantifiers % 3.09/1.42 found it (size 16) % 3.09/1.42 % 3.09/1.42 % SZS output start Proof for theBenchmark % 3.09/1.42 Assumed formulas after preprocessing and simplification: % 3.09/1.42 | (0) cUnsatisfiable(i2003_11_14_17_21_55116) & ! [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] : ( ~ rinvR(v0, v1) | rr(v1, v0)) & ! [v0] : ! [v1] : ( ~ rinvF(v0, v1) | ~ ca_Ax2(v0) | ca_Vx3(v1)) & ! [v0] : ! [v1] : ( ~ rinvF(v0, v1) | rf(v1, v0)) & ! [v0] : ! [v1] : ( ~ rf(v1, v0) | rinvF(v0, v1)) & ! [v0] : ! [v1] : ( ~ rf(v0, v1) | ~ cp1xcomp(v1) | ca_Vx3(v0)) & ! [v0] : ! [v1] : ( ~ rf(v0, v1) | ~ ca_Ax2(v1) | cUnsatisfiable(v0)) & ! [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] : (rinvF(v0, v1) & ~ ca_Vx3(v1))) & ! [v0] : ~ cowlNothing(v0) & ! [v0] : ( ~ ca_Vx3(v0) | ? [v1] : (rf(v0, v1) & cp1xcomp(v1))) & ! [v0] : ( ~ ca_Ax2(v0) | cp1(v0)) & ! [v0] : ( ~ cUnsatisfiable(v0) | ? [v1] : (rf(v0, v1) & ca_Ax2(v1))) & ? [v0] : (xsd_string(v0) | xsd_integer(v0)) & ? [v0] : (cp1(v0) | ? [v1] : ra_Px1(v0, v1)) & ? [v0] : cowlThing(v0) % 3.09/1.43 | Applying alpha-rule on (0) yields: % 3.09/1.43 | (1) ! [v0] : ( ~ xsd_string(v0) | ~ xsd_integer(v0)) % 3.09/1.43 | (2) ! [v0] : ! [v1] : ( ~ rf(v1, v0) | rinvF(v0, v1)) % 3.09/1.43 | (3) ! [v0] : ! [v1] : ( ~ rinvF(v0, v1) | rf(v1, v0)) % 3.09/1.43 | (4) ! [v0] : ! [v1] : ( ~ ra_Px1(v0, v1) | cp1xcomp(v0)) % 3.09/1.43 | (5) ! [v0] : ! [v1] : ( ~ rf(v0, v1) | ~ cp1xcomp(v1) | ca_Vx3(v0)) % 3.09/1.43 | (6) ! [v0] : ! [v1] : ( ~ rinvR(v0, v1) | rr(v1, v0)) % 3.09/1.43 | (7) ! [v0] : ! [v1] : ( ~ rr(v1, v0) | rinvR(v0, v1)) % 3.09/1.43 | (8) ! [v0] : ! [v1] : ! [v2] : ( ~ rr(v1, v2) | ~ rr(v0, v1) | rr(v0, v2)) % 3.09/1.43 | (9) ! [v0] : ( ~ cp1(v0) | ca_Ax2(v0) | ? [v1] : (rinvF(v0, v1) & ~ ca_Vx3(v1))) % 3.09/1.43 | (10) ? [v0] : (cp1(v0) | ? [v1] : ra_Px1(v0, v1)) % 3.09/1.43 | (11) ! [v0] : ! [v1] : ( ~ ra_Px1(v0, v1) | ~ cp1(v0)) % 3.09/1.43 | (12) ! [v0] : ~ cowlNothing(v0) % 3.09/1.43 | (13) ! [v0] : ( ~ ca_Vx3(v0) | ? [v1] : (rf(v0, v1) & cp1xcomp(v1))) % 3.09/1.43 | (14) ? [v0] : cowlThing(v0) % 3.09/1.43 | (15) ? [v0] : (xsd_string(v0) | xsd_integer(v0)) % 3.09/1.43 | (16) ! [v0] : ! [v1] : ! [v2] : (v2 = v1 | ~ rf(v0, v2) | ~ rf(v0, v1)) % 3.09/1.43 | (17) ! [v0] : ( ~ ca_Ax2(v0) | cp1(v0)) % 3.09/1.43 | (18) ! [v0] : ( ~ cUnsatisfiable(v0) | ? [v1] : (rf(v0, v1) & ca_Ax2(v1))) % 3.09/1.44 | (19) ! [v0] : ( ~ cp1xcomp(v0) | ? [v1] : ra_Px1(v0, v1)) % 3.09/1.44 | (20) cUnsatisfiable(i2003_11_14_17_21_55116) % 3.09/1.44 | (21) ! [v0] : ! [v1] : ( ~ rf(v0, v1) | ~ ca_Ax2(v1) | cUnsatisfiable(v0)) % 3.09/1.44 | (22) ! [v0] : ! [v1] : ( ~ rinvF(v0, v1) | ~ ca_Ax2(v0) | ca_Vx3(v1)) % 3.09/1.44 | % 3.09/1.44 | Instantiating formula (18) with i2003_11_14_17_21_55116 and discharging atoms cUnsatisfiable(i2003_11_14_17_21_55116), yields: % 3.09/1.44 | (23) ? [v0] : (rf(i2003_11_14_17_21_55116, v0) & ca_Ax2(v0)) % 3.09/1.44 | % 3.09/1.44 | Instantiating (23) with all_11_0_3 yields: % 3.09/1.44 | (24) rf(i2003_11_14_17_21_55116, all_11_0_3) & ca_Ax2(all_11_0_3) % 3.09/1.44 | % 3.09/1.44 | Applying alpha-rule on (24) yields: % 3.09/1.44 | (25) rf(i2003_11_14_17_21_55116, all_11_0_3) % 3.09/1.44 | (26) ca_Ax2(all_11_0_3) % 3.09/1.44 | % 3.09/1.44 | Instantiating formula (2) with i2003_11_14_17_21_55116, all_11_0_3 and discharging atoms rf(i2003_11_14_17_21_55116, all_11_0_3), yields: % 3.09/1.44 | (27) rinvF(all_11_0_3, i2003_11_14_17_21_55116) % 3.09/1.44 | % 3.09/1.44 | Instantiating formula (17) with all_11_0_3 and discharging atoms ca_Ax2(all_11_0_3), yields: % 3.09/1.44 | (28) cp1(all_11_0_3) % 3.09/1.44 | % 3.09/1.44 | Instantiating formula (22) with i2003_11_14_17_21_55116, all_11_0_3 and discharging atoms rinvF(all_11_0_3, i2003_11_14_17_21_55116), ca_Ax2(all_11_0_3), yields: % 3.09/1.44 | (29) ca_Vx3(i2003_11_14_17_21_55116) % 3.09/1.44 | % 3.09/1.44 | Instantiating formula (13) with i2003_11_14_17_21_55116 and discharging atoms ca_Vx3(i2003_11_14_17_21_55116), yields: % 3.09/1.44 | (30) ? [v0] : (rf(i2003_11_14_17_21_55116, v0) & cp1xcomp(v0)) % 3.09/1.44 | % 3.09/1.44 | Instantiating (30) with all_30_0_4 yields: % 3.09/1.44 | (31) rf(i2003_11_14_17_21_55116, all_30_0_4) & cp1xcomp(all_30_0_4) % 3.09/1.44 | % 3.09/1.44 | Applying alpha-rule on (31) yields: % 3.09/1.44 | (32) rf(i2003_11_14_17_21_55116, all_30_0_4) % 3.09/1.44 | (33) cp1xcomp(all_30_0_4) % 3.09/1.44 | % 3.09/1.44 | Instantiating formula (16) with all_30_0_4, all_11_0_3, i2003_11_14_17_21_55116 and discharging atoms rf(i2003_11_14_17_21_55116, all_30_0_4), rf(i2003_11_14_17_21_55116, all_11_0_3), yields: % 3.09/1.44 | (34) all_30_0_4 = all_11_0_3 % 3.09/1.44 | % 3.09/1.44 | From (34) and (33) follows: % 3.09/1.44 | (35) cp1xcomp(all_11_0_3) % 3.09/1.44 | % 3.09/1.44 | Instantiating formula (19) with all_11_0_3 and discharging atoms cp1xcomp(all_11_0_3), yields: % 3.09/1.44 | (36) ? [v0] : ra_Px1(all_11_0_3, v0) % 3.09/1.44 | % 3.09/1.44 | Instantiating (36) with all_41_0_5 yields: % 3.09/1.44 | (37) ra_Px1(all_11_0_3, all_41_0_5) % 3.09/1.44 | % 3.09/1.44 | Instantiating formula (11) with all_41_0_5, all_11_0_3 and discharging atoms ra_Px1(all_11_0_3, all_41_0_5), cp1(all_11_0_3), yields: % 3.09/1.44 | (38) $false % 3.09/1.44 | % 3.09/1.45 |-The branch is then unsatisfiable % 3.09/1.45 % SZS output end Proof for theBenchmark % 3.09/1.45 % 3.09/1.45 823ms %------------------------------------------------------------------------------