%------------------------------------------------------------------------------ % File : ePrincess---1.0 % Problem : KRS109+1 : TPTP v8.1.0. Released v3.1.0. % Transfm : none % Format : tptp:raw % Command : ePrincess-casc -timeout=%d %s % Computer : n019.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 02:56:35 EDT 2022 % Result : Unsatisfiable 2.62s 1.25s % Output : Proof 3.77s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : KRS109+1 : TPTP v8.1.0. Released v3.1.0. % 0.07/0.12 % Command : ePrincess-casc -timeout=%d %s % 0.13/0.33 % Computer : n019.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 13:44:40 EDT 2022 % 0.13/0.34 % CPUTime : % 0.19/0.57 ____ _ % 0.19/0.57 ___ / __ \_____(_)___ ________ __________ % 0.19/0.57 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/ % 0.19/0.57 / __/ ____/ / / / / / / /__/ __(__ |__ ) % 0.19/0.57 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/ % 0.19/0.57 % 0.19/0.57 A Theorem Prover for First-Order Logic % 0.19/0.58 (ePrincess v.1.0) % 0.19/0.58 % 0.19/0.58 (c) Philipp Rümmer, 2009-2015 % 0.19/0.58 (c) Peter Backeman, 2014-2015 % 0.19/0.58 (contributions by Angelo Brillout, Peter Baumgartner) % 0.19/0.58 Free software under GNU Lesser General Public License (LGPL). % 0.19/0.58 Bug reports to peter@backeman.se % 0.19/0.58 % 0.19/0.58 For more information, visit http://user.uu.se/~petba168/breu/ % 0.19/0.58 % 0.19/0.58 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ... % 0.68/0.62 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all % 1.68/0.93 Prover 0: Preprocessing ... % 2.13/1.10 Prover 0: Warning: ignoring some quantifiers % 2.13/1.12 Prover 0: Constructing countermodel ... % 2.62/1.25 Prover 0: proved (626ms) % 2.62/1.25 % 2.62/1.25 No countermodel exists, formula is valid % 2.62/1.25 % SZS status Unsatisfiable for theBenchmark % 2.62/1.25 % 2.62/1.25 Generating proof ... Warning: ignoring some quantifiers % 3.66/1.49 found it (size 19) % 3.66/1.49 % 3.66/1.49 % SZS output start Proof for theBenchmark % 3.66/1.49 Assumed formulas after preprocessing and simplification: % 3.66/1.49 | (0) cUnsatisfiable(i2003_11_14_17_21_08508) & ! [v0] : ! [v1] : ! [v2] : (v2 = v1 | ~ rs(v0, v2) | ~ rs(v0, v1)) & ! [v0] : ! [v1] : ! [v2] : (v2 = v1 | ~ rf1(v0, v2) | ~ rf1(v0, v1)) & ! [v0] : ! [v1] : ! [v2] : (v2 = v1 | ~ rf(v0, v2) | ~ rf(v0, v1)) & ! [v0] : ! [v1] : ( ~ rs(v1, v0) | rinvS(v0, v1)) & ! [v0] : ! [v1] : ( ~ rs(v0, v1) | ~ cp(v1) | ca_Vx3(v0)) & ! [v0] : ! [v1] : ( ~ rs(v0, v1) | rf1(v0, v1)) & ! [v0] : ! [v1] : ( ~ rs(v0, v1) | rf(v0, v1)) & ! [v0] : ! [v1] : ( ~ rinvS(v0, v1) | ~ ca_Ax2(v0) | cp(v1)) & ! [v0] : ! [v1] : ( ~ rinvS(v0, v1) | rs(v1, v0)) & ! [v0] : ! [v1] : ( ~ rinvF1(v0, v1) | rf1(v1, v0)) & ! [v0] : ! [v1] : ( ~ rinvF(v0, v1) | ~ ca_Ax2(v0) | ca_Vx3(v1)) & ! [v0] : ! [v1] : ( ~ rinvF(v0, v1) | rf(v1, v0)) & ! [v0] : ! [v1] : ( ~ rf1(v1, v0) | rinvF1(v0, v1)) & ! [v0] : ! [v1] : ( ~ rf(v1, v0) | rinvF(v0, v1)) & ! [v0] : ! [v1] : ( ~ rf(v0, v1) | ~ cpxcomp(v0) | ~ ca_Ax2(v1) | cUnsatisfiable(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] : ( ~ ca_Vx3(v0) | ? [v1] : (rs(v0, v1) & cp(v1))) & ! [v0] : ( ~ cUnsatisfiable(v0) | cpxcomp(v0)) & ! [v0] : ( ~ cUnsatisfiable(v0) | ? [v1] : (rf(v0, v1) & ca_Ax2(v1))) & ? [v0] : (xsd_string(v0) | xsd_integer(v0)) & ? [v0] : (cp(v0) | ? [v1] : ra_Px1(v0, v1)) & ? [v0] : cowlThing(v0) & ? [v0] : (ca_Ax2(v0) | ? [v1] : ((rinvS(v0, v1) & ~ cp(v1)) | (rinvF(v0, v1) & ~ ca_Vx3(v1)))) % 3.77/1.50 | Applying alpha-rule on (0) yields: % 3.77/1.50 | (1) ! [v0] : ! [v1] : ! [v2] : (v2 = v1 | ~ rf(v0, v2) | ~ rf(v0, v1)) % 3.77/1.50 | (2) ! [v0] : ! [v1] : ( ~ rf(v0, v1) | ~ cpxcomp(v0) | ~ ca_Ax2(v1) | cUnsatisfiable(v0)) % 3.77/1.50 | (3) ! [v0] : ( ~ cUnsatisfiable(v0) | ? [v1] : (rf(v0, v1) & ca_Ax2(v1))) % 3.77/1.50 | (4) ! [v0] : ! [v1] : ( ~ rinvS(v0, v1) | ~ ca_Ax2(v0) | cp(v1)) % 3.77/1.50 | (5) ! [v0] : ( ~ cpxcomp(v0) | ? [v1] : ra_Px1(v0, v1)) % 3.77/1.51 | (6) ? [v0] : cowlThing(v0) % 3.77/1.51 | (7) cUnsatisfiable(i2003_11_14_17_21_08508) % 3.77/1.51 | (8) ! [v0] : ! [v1] : ( ~ rinvS(v0, v1) | rs(v1, v0)) % 3.77/1.51 | (9) ! [v0] : ! [v1] : ( ~ rs(v1, v0) | rinvS(v0, v1)) % 3.77/1.51 | (10) ! [v0] : ! [v1] : ! [v2] : (v2 = v1 | ~ rf1(v0, v2) | ~ rf1(v0, v1)) % 3.77/1.51 | (11) ! [v0] : ! [v1] : ( ~ rs(v0, v1) | rf1(v0, v1)) % 3.77/1.51 | (12) ! [v0] : ! [v1] : ( ~ rinvF(v0, v1) | ~ ca_Ax2(v0) | ca_Vx3(v1)) % 3.77/1.51 | (13) ! [v0] : ! [v1] : ( ~ rf(v1, v0) | rinvF(v0, v1)) % 3.77/1.51 | (14) ! [v0] : ! [v1] : ( ~ rinvF(v0, v1) | rf(v1, v0)) % 3.77/1.51 | (15) ! [v0] : ! [v1] : ( ~ rs(v0, v1) | ~ cp(v1) | ca_Vx3(v0)) % 3.77/1.51 | (16) ! [v0] : ! [v1] : ( ~ rs(v0, v1) | rf(v0, v1)) % 3.77/1.51 | (17) ! [v0] : ! [v1] : ( ~ rf1(v1, v0) | rinvF1(v0, v1)) % 3.77/1.51 | (18) ! [v0] : ! [v1] : ( ~ rinvF1(v0, v1) | rf1(v1, v0)) % 3.77/1.51 | (19) ? [v0] : (xsd_string(v0) | xsd_integer(v0)) % 3.77/1.51 | (20) ! [v0] : ~ cowlNothing(v0) % 3.77/1.51 | (21) ! [v0] : ( ~ ca_Vx3(v0) | ? [v1] : (rs(v0, v1) & cp(v1))) % 3.77/1.51 | (22) ! [v0] : ! [v1] : ( ~ ra_Px1(v0, v1) | ~ cp(v0)) % 3.77/1.51 | (23) ! [v0] : ( ~ xsd_string(v0) | ~ xsd_integer(v0)) % 3.77/1.51 | (24) ! [v0] : ! [v1] : ( ~ ra_Px1(v0, v1) | cpxcomp(v0)) % 3.77/1.51 | (25) ! [v0] : ( ~ cUnsatisfiable(v0) | cpxcomp(v0)) % 3.77/1.51 | (26) ? [v0] : (cp(v0) | ? [v1] : ra_Px1(v0, v1)) % 3.77/1.51 | (27) ? [v0] : (ca_Ax2(v0) | ? [v1] : ((rinvS(v0, v1) & ~ cp(v1)) | (rinvF(v0, v1) & ~ ca_Vx3(v1)))) % 3.77/1.51 | (28) ! [v0] : ! [v1] : ! [v2] : (v2 = v1 | ~ rs(v0, v2) | ~ rs(v0, v1)) % 3.77/1.51 | % 3.77/1.51 | Instantiating formula (25) with i2003_11_14_17_21_08508 and discharging atoms cUnsatisfiable(i2003_11_14_17_21_08508), yields: % 3.77/1.51 | (29) cpxcomp(i2003_11_14_17_21_08508) % 3.77/1.51 | % 3.77/1.51 | Instantiating formula (3) with i2003_11_14_17_21_08508 and discharging atoms cUnsatisfiable(i2003_11_14_17_21_08508), yields: % 3.77/1.51 | (30) ? [v0] : (rf(i2003_11_14_17_21_08508, v0) & ca_Ax2(v0)) % 3.77/1.51 | % 3.77/1.51 | Instantiating (30) with all_13_0_4 yields: % 3.77/1.51 | (31) rf(i2003_11_14_17_21_08508, all_13_0_4) & ca_Ax2(all_13_0_4) % 3.77/1.51 | % 3.77/1.51 | Applying alpha-rule on (31) yields: % 3.77/1.51 | (32) rf(i2003_11_14_17_21_08508, all_13_0_4) % 3.77/1.51 | (33) ca_Ax2(all_13_0_4) % 3.77/1.52 | % 3.77/1.52 | Instantiating formula (13) with i2003_11_14_17_21_08508, all_13_0_4 and discharging atoms rf(i2003_11_14_17_21_08508, all_13_0_4), yields: % 3.77/1.52 | (34) rinvF(all_13_0_4, i2003_11_14_17_21_08508) % 3.77/1.52 | % 3.77/1.52 | Instantiating formula (5) with i2003_11_14_17_21_08508 and discharging atoms cpxcomp(i2003_11_14_17_21_08508), yields: % 3.77/1.52 | (35) ? [v0] : ra_Px1(i2003_11_14_17_21_08508, v0) % 3.77/1.52 | % 3.77/1.52 | Instantiating (35) with all_21_0_5 yields: % 3.77/1.52 | (36) ra_Px1(i2003_11_14_17_21_08508, all_21_0_5) % 3.77/1.52 | % 3.77/1.52 | Instantiating formula (12) with i2003_11_14_17_21_08508, all_13_0_4 and discharging atoms rinvF(all_13_0_4, i2003_11_14_17_21_08508), ca_Ax2(all_13_0_4), yields: % 3.77/1.52 | (37) ca_Vx3(i2003_11_14_17_21_08508) % 3.77/1.52 | % 3.77/1.52 | Instantiating formula (21) with i2003_11_14_17_21_08508 and discharging atoms ca_Vx3(i2003_11_14_17_21_08508), yields: % 3.77/1.52 | (38) ? [v0] : (rs(i2003_11_14_17_21_08508, v0) & cp(v0)) % 3.77/1.52 | % 3.77/1.52 | Instantiating (38) with all_34_0_6 yields: % 3.77/1.52 | (39) rs(i2003_11_14_17_21_08508, all_34_0_6) & cp(all_34_0_6) % 3.77/1.52 | % 3.77/1.52 | Applying alpha-rule on (39) yields: % 3.77/1.52 | (40) rs(i2003_11_14_17_21_08508, all_34_0_6) % 3.77/1.52 | (41) cp(all_34_0_6) % 3.77/1.52 | % 3.77/1.52 | Instantiating formula (9) with i2003_11_14_17_21_08508, all_34_0_6 and discharging atoms rs(i2003_11_14_17_21_08508, all_34_0_6), yields: % 3.77/1.52 | (42) rinvS(all_34_0_6, i2003_11_14_17_21_08508) % 3.77/1.52 | % 3.77/1.52 | Instantiating formula (16) with all_34_0_6, i2003_11_14_17_21_08508 and discharging atoms rs(i2003_11_14_17_21_08508, all_34_0_6), yields: % 3.77/1.52 | (43) rf(i2003_11_14_17_21_08508, all_34_0_6) % 3.77/1.52 | % 3.77/1.52 | Instantiating formula (1) with all_34_0_6, all_13_0_4, i2003_11_14_17_21_08508 and discharging atoms rf(i2003_11_14_17_21_08508, all_34_0_6), rf(i2003_11_14_17_21_08508, all_13_0_4), yields: % 3.77/1.52 | (44) all_34_0_6 = all_13_0_4 % 3.77/1.52 | % 3.77/1.52 | From (44) and (42) follows: % 3.77/1.52 | (45) rinvS(all_13_0_4, i2003_11_14_17_21_08508) % 3.77/1.52 | % 3.77/1.52 | Instantiating formula (4) with i2003_11_14_17_21_08508, all_13_0_4 and discharging atoms rinvS(all_13_0_4, i2003_11_14_17_21_08508), ca_Ax2(all_13_0_4), yields: % 3.77/1.52 | (46) cp(i2003_11_14_17_21_08508) % 3.77/1.52 | % 3.77/1.52 | Instantiating formula (22) with all_21_0_5, i2003_11_14_17_21_08508 and discharging atoms ra_Px1(i2003_11_14_17_21_08508, all_21_0_5), cp(i2003_11_14_17_21_08508), yields: % 3.77/1.52 | (47) $false % 3.77/1.52 | % 3.77/1.52 |-The branch is then unsatisfiable % 3.77/1.52 % SZS output end Proof for theBenchmark % 3.77/1.52 % 3.77/1.52 937ms %------------------------------------------------------------------------------