%------------------------------------------------------------------------------ % File : ePrincess---1.0 % Problem : KRS114+1 : TPTP v8.1.0. Released v3.1.0. % Transfm : none % Format : tptp:raw % Command : ePrincess-casc -timeout=%d %s % Computer : n024.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 1.22s % Output : Proof 3.26s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.10/0.12 % Problem : KRS114+1 : TPTP v8.1.0. Released v3.1.0. % 0.10/0.13 % Command : ePrincess-casc -timeout=%d %s % 0.13/0.34 % Computer : n024.cluster.edu % 0.13/0.34 % Model : x86_64 x86_64 % 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.34 % Memory : 8042.1875MB % 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.34 % CPULimit : 300 % 0.13/0.34 % WCLimit : 600 % 0.13/0.34 % DateTime : Tue Jun 7 07:19:50 EDT 2022 % 0.13/0.34 % CPUTime : % 0.62/0.59 ____ _ % 0.62/0.59 ___ / __ \_____(_)___ ________ __________ % 0.62/0.59 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/ % 0.62/0.59 / __/ ____/ / / / / / / /__/ __(__ |__ ) % 0.62/0.59 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/ % 0.62/0.59 % 0.62/0.59 A Theorem Prover for First-Order Logic % 0.62/0.59 (ePrincess v.1.0) % 0.62/0.59 % 0.62/0.59 (c) Philipp Rümmer, 2009-2015 % 0.62/0.59 (c) Peter Backeman, 2014-2015 % 0.62/0.59 (contributions by Angelo Brillout, Peter Baumgartner) % 0.62/0.59 Free software under GNU Lesser General Public License (LGPL). % 0.62/0.59 Bug reports to peter@backeman.se % 0.62/0.59 % 0.62/0.59 For more information, visit http://user.uu.se/~petba168/breu/ % 0.62/0.59 % 0.62/0.60 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ... % 0.70/0.67 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all % 1.62/0.94 Prover 0: Preprocessing ... % 2.07/1.10 Prover 0: Warning: ignoring some quantifiers % 2.07/1.11 Prover 0: Constructing countermodel ... % 2.52/1.22 Prover 0: proved (553ms) % 2.52/1.22 % 2.52/1.22 No countermodel exists, formula is valid % 2.52/1.22 % SZS status Unsatisfiable for theBenchmark % 2.52/1.22 % 2.52/1.22 Generating proof ... Warning: ignoring some quantifiers % 3.26/1.38 found it (size 19) % 3.26/1.38 % 3.26/1.38 % SZS output start Proof for theBenchmark % 3.26/1.38 Assumed formulas after preprocessing and simplification: % 3.26/1.38 | (0) cUnsatisfiable(i2003_11_14_17_21_262) & ! [v0] : ! [v1] : ! [v2] : (v2 = v1 | ~ rinvR(v0, v2) | ~ rinvR(v0, v1) | ~ ca_Ax4(v0)) & ! [v0] : ! [v1] : ! [v2] : ( ~ rs(v0, v1) | ~ rr(v0, v2) | ~ ca_Ax4(v2) | ~ ca_Ax3(v1) | cUnsatisfiable(v0)) & ! [v0] : ! [v1] : ( ~ rs(v0, v1) | ~ ca_Vx5(v0) | cp(v1)) & ! [v0] : ! [v1] : ( ~ rr(v1, v0) | rinvR(v0, v1)) & ! [v0] : ! [v1] : ( ~ rinvR(v0, v1) | ~ ca_Vx5(v1) | ca_Ax4(v0) | ? [v2] : ? [v3] : ( ~ (v3 = v2) & rinvR(v0, v3) & rinvR(v0, v2))) & ! [v0] : ! [v1] : ( ~ rinvR(v0, v1) | rr(v1, v0)) & ! [v0] : ! [v1] : ( ~ ra_Px2(v0, v1) | ~ cqxcomp(v0)) & ! [v0] : ! [v1] : ( ~ ra_Px2(v0, v1) | cq(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] : ( ~ cqxcomp(v0) | ~ cpxcomp(v0) | ca_Ax3(v0)) & ! [v0] : ( ~ cq(v0) | ? [v1] : ra_Px2(v0, v1)) & ! [v0] : ( ~ cpxcomp(v0) | ? [v1] : ra_Px1(v0, v1)) & ! [v0] : ~ cowlNothing(v0) & ! [v0] : ( ~ ca_Ax4(v0) | ? [v1] : (rinvR(v0, v1) & ca_Vx5(v1))) & ! [v0] : ( ~ ca_Ax3(v0) | cqxcomp(v0)) & ! [v0] : ( ~ ca_Ax3(v0) | cpxcomp(v0)) & ! [v0] : ( ~ cUnsatisfiable(v0) | ? [v1] : (rs(v0, v1) & ca_Ax3(v1))) & ! [v0] : ( ~ cUnsatisfiable(v0) | ? [v1] : (rr(v0, v1) & ca_Ax4(v1))) & ? [v0] : (xsd_string(v0) | xsd_integer(v0)) & ? [v0] : (cqxcomp(v0) | ? [v1] : ra_Px2(v0, v1)) & ? [v0] : (cp(v0) | ? [v1] : ra_Px1(v0, v1)) & ? [v0] : cowlThing(v0) & ? [v0] : (ca_Vx5(v0) | ? [v1] : (rs(v0, v1) & ~ cp(v1))) % 3.26/1.40 | Applying alpha-rule on (0) yields: % 3.26/1.40 | (1) ! [v0] : ! [v1] : ! [v2] : (v2 = v1 | ~ rinvR(v0, v2) | ~ rinvR(v0, v1) | ~ ca_Ax4(v0)) % 3.26/1.40 | (2) ! [v0] : ( ~ cUnsatisfiable(v0) | ? [v1] : (rr(v0, v1) & ca_Ax4(v1))) % 3.26/1.40 | (3) ! [v0] : ( ~ ca_Ax3(v0) | cqxcomp(v0)) % 3.26/1.40 | (4) ? [v0] : (ca_Vx5(v0) | ? [v1] : (rs(v0, v1) & ~ cp(v1))) % 3.26/1.40 | (5) ? [v0] : (xsd_string(v0) | xsd_integer(v0)) % 3.26/1.40 | (6) ! [v0] : ! [v1] : ( ~ ra_Px2(v0, v1) | cq(v0)) % 3.26/1.40 | (7) ! [v0] : ! [v1] : ( ~ rinvR(v0, v1) | ~ ca_Vx5(v1) | ca_Ax4(v0) | ? [v2] : ? [v3] : ( ~ (v3 = v2) & rinvR(v0, v3) & rinvR(v0, v2))) % 3.26/1.40 | (8) ! [v0] : ! [v1] : ! [v2] : ( ~ rs(v0, v1) | ~ rr(v0, v2) | ~ ca_Ax4(v2) | ~ ca_Ax3(v1) | cUnsatisfiable(v0)) % 3.26/1.40 | (9) ? [v0] : cowlThing(v0) % 3.26/1.40 | (10) cUnsatisfiable(i2003_11_14_17_21_262) % 3.26/1.40 | (11) ? [v0] : (cqxcomp(v0) | ? [v1] : ra_Px2(v0, v1)) % 3.26/1.40 | (12) ! [v0] : ( ~ xsd_string(v0) | ~ xsd_integer(v0)) % 3.26/1.40 | (13) ! [v0] : ! [v1] : ( ~ ra_Px1(v0, v1) | ~ cp(v0)) % 3.26/1.40 | (14) ! [v0] : ! [v1] : ( ~ rs(v0, v1) | ~ ca_Vx5(v0) | cp(v1)) % 3.26/1.40 | (15) ! [v0] : ( ~ cpxcomp(v0) | ? [v1] : ra_Px1(v0, v1)) % 3.26/1.40 | (16) ! [v0] : ! [v1] : ( ~ ra_Px2(v0, v1) | ~ cqxcomp(v0)) % 3.26/1.40 | (17) ! [v0] : ( ~ ca_Ax4(v0) | ? [v1] : (rinvR(v0, v1) & ca_Vx5(v1))) % 3.26/1.40 | (18) ! [v0] : ( ~ cqxcomp(v0) | ~ cpxcomp(v0) | ca_Ax3(v0)) % 3.26/1.40 | (19) ! [v0] : ( ~ cUnsatisfiable(v0) | ? [v1] : (rs(v0, v1) & ca_Ax3(v1))) % 3.26/1.40 | (20) ! [v0] : ! [v1] : ( ~ rinvR(v0, v1) | rr(v1, v0)) % 3.26/1.40 | (21) ! [v0] : ! [v1] : ( ~ rr(v1, v0) | rinvR(v0, v1)) % 3.26/1.41 | (22) ! [v0] : ~ cowlNothing(v0) % 3.26/1.41 | (23) ! [v0] : ! [v1] : ( ~ ra_Px1(v0, v1) | cpxcomp(v0)) % 3.26/1.41 | (24) ? [v0] : (cp(v0) | ? [v1] : ra_Px1(v0, v1)) % 3.26/1.41 | (25) ! [v0] : ( ~ cq(v0) | ? [v1] : ra_Px2(v0, v1)) % 3.26/1.41 | (26) ! [v0] : ( ~ ca_Ax3(v0) | cpxcomp(v0)) % 3.26/1.41 | % 3.26/1.41 | Instantiating formula (19) with i2003_11_14_17_21_262 and discharging atoms cUnsatisfiable(i2003_11_14_17_21_262), yields: % 3.26/1.41 | (27) ? [v0] : (rs(i2003_11_14_17_21_262, v0) & ca_Ax3(v0)) % 3.26/1.41 | % 3.26/1.41 | Instantiating formula (2) with i2003_11_14_17_21_262 and discharging atoms cUnsatisfiable(i2003_11_14_17_21_262), yields: % 3.26/1.41 | (28) ? [v0] : (rr(i2003_11_14_17_21_262, v0) & ca_Ax4(v0)) % 3.26/1.41 | % 3.26/1.41 | Instantiating (28) with all_13_0_5 yields: % 3.26/1.41 | (29) rr(i2003_11_14_17_21_262, all_13_0_5) & ca_Ax4(all_13_0_5) % 3.26/1.41 | % 3.26/1.41 | Applying alpha-rule on (29) yields: % 3.26/1.41 | (30) rr(i2003_11_14_17_21_262, all_13_0_5) % 3.26/1.41 | (31) ca_Ax4(all_13_0_5) % 3.26/1.41 | % 3.26/1.41 | Instantiating (27) with all_15_0_6 yields: % 3.26/1.41 | (32) rs(i2003_11_14_17_21_262, all_15_0_6) & ca_Ax3(all_15_0_6) % 3.26/1.41 | % 3.26/1.41 | Applying alpha-rule on (32) yields: % 3.26/1.41 | (33) rs(i2003_11_14_17_21_262, all_15_0_6) % 3.26/1.41 | (34) ca_Ax3(all_15_0_6) % 3.26/1.41 | % 3.26/1.41 | Instantiating formula (21) with i2003_11_14_17_21_262, all_13_0_5 and discharging atoms rr(i2003_11_14_17_21_262, all_13_0_5), yields: % 3.26/1.41 | (35) rinvR(all_13_0_5, i2003_11_14_17_21_262) % 3.26/1.41 | % 3.26/1.41 | Instantiating formula (17) with all_13_0_5 and discharging atoms ca_Ax4(all_13_0_5), yields: % 3.26/1.41 | (36) ? [v0] : (rinvR(all_13_0_5, v0) & ca_Vx5(v0)) % 3.26/1.41 | % 3.26/1.41 | Instantiating formula (26) with all_15_0_6 and discharging atoms ca_Ax3(all_15_0_6), yields: % 3.26/1.41 | (37) cpxcomp(all_15_0_6) % 3.26/1.41 | % 3.26/1.41 | Instantiating (36) with all_23_0_7 yields: % 3.26/1.41 | (38) rinvR(all_13_0_5, all_23_0_7) & ca_Vx5(all_23_0_7) % 3.26/1.41 | % 3.26/1.41 | Applying alpha-rule on (38) yields: % 3.26/1.41 | (39) rinvR(all_13_0_5, all_23_0_7) % 3.26/1.41 | (40) ca_Vx5(all_23_0_7) % 3.26/1.41 | % 3.26/1.41 | Instantiating formula (1) with i2003_11_14_17_21_262, all_23_0_7, all_13_0_5 and discharging atoms rinvR(all_13_0_5, all_23_0_7), rinvR(all_13_0_5, i2003_11_14_17_21_262), ca_Ax4(all_13_0_5), yields: % 3.26/1.41 | (41) all_23_0_7 = i2003_11_14_17_21_262 % 3.26/1.41 | % 3.26/1.41 | From (41) and (40) follows: % 3.26/1.41 | (42) ca_Vx5(i2003_11_14_17_21_262) % 3.26/1.41 | % 3.26/1.41 | Instantiating formula (15) with all_15_0_6 and discharging atoms cpxcomp(all_15_0_6), yields: % 3.26/1.41 | (43) ? [v0] : ra_Px1(all_15_0_6, v0) % 3.26/1.41 | % 3.26/1.41 | Instantiating formula (14) with all_15_0_6, i2003_11_14_17_21_262 and discharging atoms rs(i2003_11_14_17_21_262, all_15_0_6), ca_Vx5(i2003_11_14_17_21_262), yields: % 3.26/1.41 | (44) cp(all_15_0_6) % 3.26/1.41 | % 3.26/1.41 | Instantiating (43) with all_35_0_8 yields: % 3.26/1.41 | (45) ra_Px1(all_15_0_6, all_35_0_8) % 3.26/1.41 | % 3.26/1.41 | Instantiating formula (13) with all_35_0_8, all_15_0_6 and discharging atoms ra_Px1(all_15_0_6, all_35_0_8), cp(all_15_0_6), yields: % 3.26/1.41 | (46) $false % 3.26/1.41 | % 3.26/1.41 |-The branch is then unsatisfiable % 3.26/1.41 % SZS output end Proof for theBenchmark % 3.26/1.41 % 3.26/1.41 804ms %------------------------------------------------------------------------------