%------------------------------------------------------------------------------ % File : ePrincess---1.0 % Problem : KRS112+1 : TPTP v8.1.0. Released v3.1.0. % Transfm : none % Format : tptp:raw % Command : ePrincess-casc -timeout=%d %s % Computer : n023.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 2.52s 1.27s % Output : Proof 3.88s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.11 % Problem : KRS112+1 : TPTP v8.1.0. Released v3.1.0. % 0.11/0.12 % Command : ePrincess-casc -timeout=%d %s % 0.11/0.32 % Computer : n023.cluster.edu % 0.11/0.32 % Model : x86_64 x86_64 % 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.11/0.32 % Memory : 8042.1875MB % 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64 % 0.11/0.33 % CPULimit : 300 % 0.11/0.33 % WCLimit : 600 % 0.11/0.33 % DateTime : Tue Jun 7 10:15:38 EDT 2022 % 0.11/0.33 % CPUTime : % 0.18/0.56 ____ _ % 0.18/0.56 ___ / __ \_____(_)___ ________ __________ % 0.18/0.56 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/ % 0.18/0.56 / __/ ____/ / / / / / / /__/ __(__ |__ ) % 0.18/0.56 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/ % 0.18/0.56 % 0.18/0.56 A Theorem Prover for First-Order Logic % 0.18/0.56 (ePrincess v.1.0) % 0.18/0.56 % 0.18/0.56 (c) Philipp Rümmer, 2009-2015 % 0.18/0.57 (c) Peter Backeman, 2014-2015 % 0.18/0.57 (contributions by Angelo Brillout, Peter Baumgartner) % 0.18/0.57 Free software under GNU Lesser General Public License (LGPL). % 0.18/0.57 Bug reports to peter@backeman.se % 0.18/0.57 % 0.18/0.57 For more information, visit http://user.uu.se/~petba168/breu/ % 0.18/0.57 % 0.18/0.57 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ... % 0.74/0.62 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all % 1.67/0.94 Prover 0: Preprocessing ... % 2.07/1.12 Prover 0: Warning: ignoring some quantifiers % 2.07/1.14 Prover 0: Constructing countermodel ... % 2.52/1.27 Prover 0: proved (657ms) % 2.52/1.27 % 2.52/1.27 No countermodel exists, formula is valid % 2.52/1.27 % SZS status Unsatisfiable for theBenchmark % 2.52/1.27 % 2.52/1.27 Generating proof ... Warning: ignoring some quantifiers % 3.71/1.51 found it (size 24) % 3.71/1.51 % 3.71/1.51 % SZS output start Proof for theBenchmark % 3.71/1.51 Assumed formulas after preprocessing and simplification: % 3.71/1.51 | (0) cUnsatisfiable(i2003_11_14_17_21_19256) & ! [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] : ! [v2] : ( ~ rf1(v0, v2) | ~ rf(v0, v1) | ~ cp(v1) | ~ ca_Ax2(v2) | cUnsatisfiable(v0)) & ! [v0] : ! [v1] : ( ~ rs(v1, v0) | rinvS(v0, v1)) & ! [v0] : ! [v1] : ( ~ rs(v0, v1) | ~ cowlThing(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) | rs(v1, v0)) & ! [v0] : ! [v1] : ( ~ rinvF1(v0, v1) | ~ ca_Ax2(v0) | ca_Vx3(v1)) & ! [v0] : ! [v1] : ( ~ rinvF1(v0, v1) | rf1(v1, v0)) & ! [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] : ( ~ ra_Px1(v0, v1) | ~ cp(v0)) & ! [v0] : ! [v1] : ( ~ ra_Px1(v0, v1) | cpxcomp(v0)) & ! [v0] : ( ~ xsd_string(v0) | ~ xsd_integer(v0)) & ! [v0] : ( ~ cpxcomp(v0) | ca_Ax2(v0) | ? [v1] : (rinvF1(v0, v1) & ~ ca_Vx3(v1))) & ! [v0] : ( ~ cpxcomp(v0) | ? [v1] : ra_Px1(v0, v1)) & ! [v0] : ~ cowlNothing(v0) & ! [v0] : ( ~ ca_Vx3(v0) | ? [v1] : (rs(v0, v1) & cowlThing(v1))) & ! [v0] : ( ~ ca_Ax2(v0) | cpxcomp(v0)) & ! [v0] : ( ~ cUnsatisfiable(v0) | ? [v1] : (rf1(v0, v1) & ca_Ax2(v1))) & ! [v0] : ( ~ cUnsatisfiable(v0) | ? [v1] : (rf(v0, v1) & cp(v1))) & ? [v0] : (xsd_string(v0) | xsd_integer(v0)) & ? [v0] : (cp(v0) | ? [v1] : ra_Px1(v0, v1)) & ? [v0] : cowlThing(v0) % 3.85/1.52 | Applying alpha-rule on (0) yields: % 3.85/1.52 | (1) ! [v0] : ! [v1] : ( ~ rs(v0, v1) | ~ cowlThing(v1) | ca_Vx3(v0)) % 3.85/1.52 | (2) ! [v0] : ! [v1] : ( ~ ra_Px1(v0, v1) | cpxcomp(v0)) % 3.85/1.53 | (3) ! [v0] : ! [v1] : ( ~ rs(v0, v1) | rf1(v0, v1)) % 3.85/1.53 | (4) ! [v0] : ( ~ ca_Vx3(v0) | ? [v1] : (rs(v0, v1) & cowlThing(v1))) % 3.85/1.53 | (5) ! [v0] : ! [v1] : ! [v2] : ( ~ rf1(v0, v2) | ~ rf(v0, v1) | ~ cp(v1) | ~ ca_Ax2(v2) | cUnsatisfiable(v0)) % 3.85/1.53 | (6) ! [v0] : ( ~ cUnsatisfiable(v0) | ? [v1] : (rf(v0, v1) & cp(v1))) % 3.85/1.53 | (7) ! [v0] : ! [v1] : ! [v2] : (v2 = v1 | ~ rs(v0, v2) | ~ rs(v0, v1)) % 3.88/1.53 | (8) ? [v0] : (cp(v0) | ? [v1] : ra_Px1(v0, v1)) % 3.88/1.53 | (9) ! [v0] : ! [v1] : ( ~ rf(v1, v0) | rinvF(v0, v1)) % 3.88/1.53 | (10) ! [v0] : ! [v1] : ( ~ rinvF(v0, v1) | rf(v1, v0)) % 3.88/1.53 | (11) ! [v0] : ! [v1] : ( ~ ra_Px1(v0, v1) | ~ cp(v0)) % 3.88/1.53 | (12) ! [v0] : ( ~ xsd_string(v0) | ~ xsd_integer(v0)) % 3.88/1.53 | (13) cUnsatisfiable(i2003_11_14_17_21_19256) % 3.88/1.53 | (14) ! [v0] : ~ cowlNothing(v0) % 3.88/1.53 | (15) ! [v0] : ( ~ cUnsatisfiable(v0) | ? [v1] : (rf1(v0, v1) & ca_Ax2(v1))) % 3.88/1.53 | (16) ! [v0] : ! [v1] : ( ~ rinvS(v0, v1) | rs(v1, v0)) % 3.88/1.53 | (17) ! [v0] : ! [v1] : ( ~ rs(v1, v0) | rinvS(v0, v1)) % 3.88/1.53 | (18) ? [v0] : cowlThing(v0) % 3.88/1.53 | (19) ! [v0] : ! [v1] : ! [v2] : (v2 = v1 | ~ rf(v0, v2) | ~ rf(v0, v1)) % 3.88/1.53 | (20) ! [v0] : ( ~ cpxcomp(v0) | ca_Ax2(v0) | ? [v1] : (rinvF1(v0, v1) & ~ ca_Vx3(v1))) % 3.88/1.53 | (21) ! [v0] : ( ~ ca_Ax2(v0) | cpxcomp(v0)) % 3.88/1.53 | (22) ! [v0] : ! [v1] : ( ~ rinvF1(v0, v1) | ~ ca_Ax2(v0) | ca_Vx3(v1)) % 3.88/1.53 | (23) ! [v0] : ! [v1] : ( ~ rf1(v1, v0) | rinvF1(v0, v1)) % 3.88/1.53 | (24) ! [v0] : ! [v1] : ( ~ rinvF1(v0, v1) | rf1(v1, v0)) % 3.88/1.53 | (25) ! [v0] : ( ~ cpxcomp(v0) | ? [v1] : ra_Px1(v0, v1)) % 3.88/1.53 | (26) ? [v0] : (xsd_string(v0) | xsd_integer(v0)) % 3.88/1.54 | (27) ! [v0] : ! [v1] : ( ~ rs(v0, v1) | rf(v0, v1)) % 3.88/1.54 | (28) ! [v0] : ! [v1] : ! [v2] : (v2 = v1 | ~ rf1(v0, v2) | ~ rf1(v0, v1)) % 3.88/1.54 | % 3.88/1.54 | Instantiating formula (15) with i2003_11_14_17_21_19256 and discharging atoms cUnsatisfiable(i2003_11_14_17_21_19256), yields: % 3.88/1.54 | (29) ? [v0] : (rf1(i2003_11_14_17_21_19256, v0) & ca_Ax2(v0)) % 3.88/1.54 | % 3.88/1.54 | Instantiating formula (6) with i2003_11_14_17_21_19256 and discharging atoms cUnsatisfiable(i2003_11_14_17_21_19256), yields: % 3.88/1.54 | (30) ? [v0] : (rf(i2003_11_14_17_21_19256, v0) & cp(v0)) % 3.88/1.54 | % 3.88/1.54 | Instantiating (30) with all_11_0_3 yields: % 3.88/1.54 | (31) rf(i2003_11_14_17_21_19256, all_11_0_3) & cp(all_11_0_3) % 3.88/1.54 | % 3.88/1.54 | Applying alpha-rule on (31) yields: % 3.88/1.54 | (32) rf(i2003_11_14_17_21_19256, all_11_0_3) % 3.88/1.54 | (33) cp(all_11_0_3) % 3.88/1.54 | % 3.88/1.54 | Instantiating (29) with all_13_0_4 yields: % 3.88/1.54 | (34) rf1(i2003_11_14_17_21_19256, all_13_0_4) & ca_Ax2(all_13_0_4) % 3.88/1.54 | % 3.88/1.54 | Applying alpha-rule on (34) yields: % 3.88/1.54 | (35) rf1(i2003_11_14_17_21_19256, all_13_0_4) % 3.88/1.54 | (36) ca_Ax2(all_13_0_4) % 3.88/1.54 | % 3.88/1.54 | Instantiating formula (23) with i2003_11_14_17_21_19256, all_13_0_4 and discharging atoms rf1(i2003_11_14_17_21_19256, all_13_0_4), yields: % 3.88/1.54 | (37) rinvF1(all_13_0_4, i2003_11_14_17_21_19256) % 3.88/1.54 | % 3.88/1.54 | Instantiating formula (21) with all_13_0_4 and discharging atoms ca_Ax2(all_13_0_4), yields: % 3.88/1.54 | (38) cpxcomp(all_13_0_4) % 3.88/1.54 | % 3.88/1.54 | Instantiating formula (22) with i2003_11_14_17_21_19256, all_13_0_4 and discharging atoms rinvF1(all_13_0_4, i2003_11_14_17_21_19256), ca_Ax2(all_13_0_4), yields: % 3.88/1.54 | (39) ca_Vx3(i2003_11_14_17_21_19256) % 3.88/1.54 | % 3.88/1.54 | Instantiating formula (25) with all_13_0_4 and discharging atoms cpxcomp(all_13_0_4), yields: % 3.88/1.54 | (40) ? [v0] : ra_Px1(all_13_0_4, v0) % 3.88/1.54 | % 3.88/1.54 | Instantiating (40) with all_27_0_5 yields: % 3.88/1.54 | (41) ra_Px1(all_13_0_4, all_27_0_5) % 3.88/1.54 | % 3.88/1.54 | Instantiating formula (4) with i2003_11_14_17_21_19256 and discharging atoms ca_Vx3(i2003_11_14_17_21_19256), yields: % 3.88/1.54 | (42) ? [v0] : (rs(i2003_11_14_17_21_19256, v0) & cowlThing(v0)) % 3.88/1.54 | % 3.88/1.54 | Instantiating (42) with all_34_0_6 yields: % 3.88/1.54 | (43) rs(i2003_11_14_17_21_19256, all_34_0_6) & cowlThing(all_34_0_6) % 3.88/1.54 | % 3.88/1.54 | Applying alpha-rule on (43) yields: % 3.88/1.54 | (44) rs(i2003_11_14_17_21_19256, all_34_0_6) % 3.88/1.54 | (45) cowlThing(all_34_0_6) % 3.88/1.54 | % 3.88/1.54 | Instantiating formula (3) with all_34_0_6, i2003_11_14_17_21_19256 and discharging atoms rs(i2003_11_14_17_21_19256, all_34_0_6), yields: % 3.88/1.54 | (46) rf1(i2003_11_14_17_21_19256, all_34_0_6) % 3.88/1.54 | % 3.88/1.54 | Instantiating formula (27) with all_34_0_6, i2003_11_14_17_21_19256 and discharging atoms rs(i2003_11_14_17_21_19256, all_34_0_6), yields: % 3.88/1.54 | (47) rf(i2003_11_14_17_21_19256, all_34_0_6) % 3.88/1.54 | % 3.88/1.54 | Instantiating formula (28) with all_34_0_6, all_13_0_4, i2003_11_14_17_21_19256 and discharging atoms rf1(i2003_11_14_17_21_19256, all_34_0_6), rf1(i2003_11_14_17_21_19256, all_13_0_4), yields: % 3.88/1.54 | (48) all_34_0_6 = all_13_0_4 % 3.88/1.54 | % 3.88/1.54 | Instantiating formula (19) with all_34_0_6, all_11_0_3, i2003_11_14_17_21_19256 and discharging atoms rf(i2003_11_14_17_21_19256, all_34_0_6), rf(i2003_11_14_17_21_19256, all_11_0_3), yields: % 3.88/1.54 | (49) all_34_0_6 = all_11_0_3 % 3.88/1.54 | % 3.88/1.54 | Combining equations (48,49) yields a new equation: % 3.88/1.54 | (50) all_13_0_4 = all_11_0_3 % 3.88/1.54 | % 3.88/1.54 | Simplifying 50 yields: % 3.88/1.54 | (51) all_13_0_4 = all_11_0_3 % 3.88/1.54 | % 3.88/1.54 | From (51) and (41) follows: % 3.88/1.55 | (52) ra_Px1(all_11_0_3, all_27_0_5) % 3.88/1.55 | % 3.88/1.55 | Instantiating formula (11) with all_27_0_5, all_11_0_3 and discharging atoms ra_Px1(all_11_0_3, all_27_0_5), cp(all_11_0_3), yields: % 3.88/1.55 | (53) $false % 3.88/1.55 | % 3.88/1.55 |-The branch is then unsatisfiable % 3.88/1.55 % SZS output end Proof for theBenchmark % 3.88/1.55 % 3.88/1.55 972ms %------------------------------------------------------------------------------