%------------------------------------------------------------------------------ % File : ePrincess---1.0 % Problem : KRS107+1 : TPTP v8.1.0. Released v3.1.0. % Transfm : none % Format : tptp:raw % Command : ePrincess-casc -timeout=%d %s % Computer : n025.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 2.66s 1.34s % Output : Proof 4.06s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.04/0.12 % Problem : KRS107+1 : TPTP v8.1.0. Released v3.1.0. % 0.04/0.12 % Command : ePrincess-casc -timeout=%d %s % 0.13/0.33 % Computer : n025.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 09:59:48 EDT 2022 % 0.13/0.34 % 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/sandbox/benchmark/theBenchmark.p ... % 0.78/0.66 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all % 1.70/1.02 Prover 0: Preprocessing ... % 2.26/1.22 Prover 0: Warning: ignoring some quantifiers % 2.41/1.23 Prover 0: Constructing countermodel ... % 2.66/1.34 Prover 0: proved (676ms) % 2.66/1.34 % 2.66/1.34 No countermodel exists, formula is valid % 2.66/1.34 % SZS status Unsatisfiable for theBenchmark % 2.66/1.34 % 2.66/1.34 Generating proof ... Warning: ignoring some quantifiers % 3.72/1.58 found it (size 18) % 3.72/1.58 % 3.72/1.58 % SZS output start Proof for theBenchmark % 3.72/1.58 Assumed formulas after preprocessing and simplification: % 3.72/1.58 | (0) cUnsatisfiable(i2003_11_14_17_21_01226) & ! [v0] : ! [v1] : ! [v2] : (v2 = v1 | ~ rrx4a(v0, v2) | ~ rrx4a(v0, v1)) & ! [v0] : ! [v1] : ! [v2] : (v2 = v1 | ~ rrx4(v0, v2) | ~ rrx4(v0, v1)) & ! [v0] : ! [v1] : ! [v2] : (v2 = v1 | ~ rrx3a(v0, v2) | ~ rrx3a(v0, v1)) & ! [v0] : ! [v1] : ! [v2] : (v2 = v1 | ~ rrx3(v0, v2) | ~ rrx3(v0, v1)) & ! [v0] : ! [v1] : ! [v2] : (v2 = v1 | ~ rrx(v0, v2) | ~ rrx(v0, v1)) & ! [v0] : ! [v1] : ! [v2] : ( ~ rrx4(v0, v1) | ~ rrx3(v0, v2) | ~ cc2(v1) | ~ cc1(v2) | ~ ca_Cx1(v0) | cUnsatisfiable(v0)) & ! [v0] : ! [v1] : ( ~ rrx4a(v0, v1) | rrxa(v0, v1)) & ! [v0] : ! [v1] : ( ~ rrx4a(v0, v1) | rrx2a(v0, v1)) & ! [v0] : ! [v1] : ( ~ rrx4(v0, v1) | rrx2(v0, v1)) & ! [v0] : ! [v1] : ( ~ rrx4(v0, v1) | rrx(v0, v1)) & ! [v0] : ! [v1] : ( ~ rrx3a(v0, v1) | rrxa(v0, v1)) & ! [v0] : ! [v1] : ( ~ rrx3a(v0, v1) | rrx1a(v0, v1)) & ! [v0] : ! [v1] : ( ~ rrx3(v0, v1) | ~ ca_Ax2(v1) | ca_Cx1xcomp(v0)) & ! [v0] : ! [v1] : ( ~ rrx3(v0, v1) | rrx1(v0, v1)) & ! [v0] : ! [v1] : ( ~ rrx3(v0, v1) | rrx(v0, v1)) & ! [v0] : ! [v1] : ( ~ ra_Px1(v0, v1) | ~ ca_Cx1xcomp(v0)) & ! [v0] : ! [v1] : ( ~ ra_Px1(v0, v1) | ca_Cx1(v0)) & ! [v0] : ( ~ xsd_string(v0) | ~ xsd_integer(v0)) & ! [v0] : ~ cowlNothing(v0) & ! [v0] : ( ~ cc2(v0) | ~ cc1(v0) | ca_Ax2(v0)) & ! [v0] : ( ~ ca_Cx1xcomp(v0) | ? [v1] : (rrx3(v0, v1) & ca_Ax2(v1))) & ! [v0] : ( ~ ca_Cx1(v0) | ? [v1] : ra_Px1(v0, v1)) & ! [v0] : ( ~ ca_Ax2(v0) | cc2(v0)) & ! [v0] : ( ~ ca_Ax2(v0) | cc1(v0)) & ! [v0] : ( ~ cUnsatisfiable(v0) | ca_Cx1(v0)) & ! [v0] : ( ~ cUnsatisfiable(v0) | ? [v1] : (rrx4(v0, v1) & cc2(v1))) & ! [v0] : ( ~ cUnsatisfiable(v0) | ? [v1] : (rrx3(v0, v1) & cc1(v1))) & ? [v0] : (xsd_string(v0) | xsd_integer(v0)) & ? [v0] : cowlThing(v0) & ? [v0] : (ca_Cx1xcomp(v0) | ? [v1] : ra_Px1(v0, v1)) % 3.72/1.60 | Applying alpha-rule on (0) yields: % 3.72/1.60 | (1) ! [v0] : ! [v1] : ( ~ rrx4(v0, v1) | rrx2(v0, v1)) % 3.72/1.60 | (2) ! [v0] : ! [v1] : ! [v2] : (v2 = v1 | ~ rrx3(v0, v2) | ~ rrx3(v0, v1)) % 3.72/1.60 | (3) ? [v0] : (ca_Cx1xcomp(v0) | ? [v1] : ra_Px1(v0, v1)) % 3.72/1.60 | (4) ! [v0] : ( ~ cUnsatisfiable(v0) | ca_Cx1(v0)) % 3.72/1.60 | (5) ! [v0] : ( ~ cUnsatisfiable(v0) | ? [v1] : (rrx3(v0, v1) & cc1(v1))) % 3.72/1.60 | (6) ! [v0] : ! [v1] : ! [v2] : (v2 = v1 | ~ rrx3a(v0, v2) | ~ rrx3a(v0, v1)) % 3.72/1.60 | (7) ! [v0] : ( ~ cUnsatisfiable(v0) | ? [v1] : (rrx4(v0, v1) & cc2(v1))) % 3.72/1.60 | (8) ! [v0] : ! [v1] : ! [v2] : (v2 = v1 | ~ rrx4(v0, v2) | ~ rrx4(v0, v1)) % 3.72/1.60 | (9) ! [v0] : ! [v1] : ( ~ ra_Px1(v0, v1) | ca_Cx1(v0)) % 3.72/1.60 | (10) ! [v0] : ! [v1] : ( ~ rrx3(v0, v1) | rrx1(v0, v1)) % 3.72/1.60 | (11) ! [v0] : ! [v1] : ! [v2] : (v2 = v1 | ~ rrx(v0, v2) | ~ rrx(v0, v1)) % 3.72/1.61 | (12) ! [v0] : ( ~ ca_Ax2(v0) | cc1(v0)) % 3.72/1.61 | (13) ! [v0] : ! [v1] : ( ~ rrx4a(v0, v1) | rrx2a(v0, v1)) % 3.72/1.61 | (14) ! [v0] : ! [v1] : ( ~ rrx3a(v0, v1) | rrxa(v0, v1)) % 3.72/1.61 | (15) ! [v0] : ( ~ ca_Cx1(v0) | ? [v1] : ra_Px1(v0, v1)) % 3.72/1.61 | (16) ! [v0] : ~ cowlNothing(v0) % 3.72/1.61 | (17) ! [v0] : ( ~ cc2(v0) | ~ cc1(v0) | ca_Ax2(v0)) % 3.72/1.61 | (18) ! [v0] : ( ~ ca_Cx1xcomp(v0) | ? [v1] : (rrx3(v0, v1) & ca_Ax2(v1))) % 3.72/1.61 | (19) ? [v0] : (xsd_string(v0) | xsd_integer(v0)) % 3.72/1.61 | (20) cUnsatisfiable(i2003_11_14_17_21_01226) % 3.72/1.61 | (21) ! [v0] : ! [v1] : ! [v2] : ( ~ rrx4(v0, v1) | ~ rrx3(v0, v2) | ~ cc2(v1) | ~ cc1(v2) | ~ ca_Cx1(v0) | cUnsatisfiable(v0)) % 3.72/1.61 | (22) ! [v0] : ( ~ ca_Ax2(v0) | cc2(v0)) % 3.72/1.61 | (23) ! [v0] : ! [v1] : ( ~ rrx3(v0, v1) | ~ ca_Ax2(v1) | ca_Cx1xcomp(v0)) % 3.72/1.61 | (24) ? [v0] : cowlThing(v0) % 3.72/1.61 | (25) ! [v0] : ! [v1] : ( ~ rrx4(v0, v1) | rrx(v0, v1)) % 3.72/1.61 | (26) ! [v0] : ! [v1] : ( ~ rrx4a(v0, v1) | rrxa(v0, v1)) % 3.72/1.61 | (27) ! [v0] : ! [v1] : ( ~ rrx3(v0, v1) | rrx(v0, v1)) % 3.72/1.62 | (28) ! [v0] : ! [v1] : ( ~ rrx3a(v0, v1) | rrx1a(v0, v1)) % 3.72/1.62 | (29) ! [v0] : ( ~ xsd_string(v0) | ~ xsd_integer(v0)) % 3.72/1.62 | (30) ! [v0] : ! [v1] : ( ~ ra_Px1(v0, v1) | ~ ca_Cx1xcomp(v0)) % 3.72/1.62 | (31) ! [v0] : ! [v1] : ! [v2] : (v2 = v1 | ~ rrx4a(v0, v2) | ~ rrx4a(v0, v1)) % 3.72/1.62 | % 4.06/1.62 | Instantiating formula (4) with i2003_11_14_17_21_01226 and discharging atoms cUnsatisfiable(i2003_11_14_17_21_01226), yields: % 4.06/1.62 | (32) ca_Cx1(i2003_11_14_17_21_01226) % 4.06/1.62 | % 4.06/1.62 | Instantiating formula (7) with i2003_11_14_17_21_01226 and discharging atoms cUnsatisfiable(i2003_11_14_17_21_01226), yields: % 4.06/1.62 | (33) ? [v0] : (rrx4(i2003_11_14_17_21_01226, v0) & cc2(v0)) % 4.06/1.62 | % 4.06/1.62 | Instantiating formula (5) with i2003_11_14_17_21_01226 and discharging atoms cUnsatisfiable(i2003_11_14_17_21_01226), yields: % 4.06/1.62 | (34) ? [v0] : (rrx3(i2003_11_14_17_21_01226, v0) & cc1(v0)) % 4.06/1.62 | % 4.06/1.62 | Instantiating (34) with all_12_0_3 yields: % 4.06/1.62 | (35) rrx3(i2003_11_14_17_21_01226, all_12_0_3) & cc1(all_12_0_3) % 4.06/1.62 | % 4.06/1.62 | Applying alpha-rule on (35) yields: % 4.06/1.62 | (36) rrx3(i2003_11_14_17_21_01226, all_12_0_3) % 4.06/1.62 | (37) cc1(all_12_0_3) % 4.06/1.62 | % 4.06/1.62 | Instantiating (33) with all_14_0_4 yields: % 4.06/1.62 | (38) rrx4(i2003_11_14_17_21_01226, all_14_0_4) & cc2(all_14_0_4) % 4.06/1.62 | % 4.06/1.62 | Applying alpha-rule on (38) yields: % 4.06/1.62 | (39) rrx4(i2003_11_14_17_21_01226, all_14_0_4) % 4.06/1.62 | (40) cc2(all_14_0_4) % 4.06/1.62 | % 4.06/1.62 | Instantiating formula (25) with all_14_0_4, i2003_11_14_17_21_01226 and discharging atoms rrx4(i2003_11_14_17_21_01226, all_14_0_4), yields: % 4.06/1.62 | (41) rrx(i2003_11_14_17_21_01226, all_14_0_4) % 4.06/1.62 | % 4.06/1.62 | Instantiating formula (27) with all_12_0_3, i2003_11_14_17_21_01226 and discharging atoms rrx3(i2003_11_14_17_21_01226, all_12_0_3), yields: % 4.06/1.62 | (42) rrx(i2003_11_14_17_21_01226, all_12_0_3) % 4.06/1.62 | % 4.06/1.62 | Instantiating formula (15) with i2003_11_14_17_21_01226 and discharging atoms ca_Cx1(i2003_11_14_17_21_01226), yields: % 4.06/1.62 | (43) ? [v0] : ra_Px1(i2003_11_14_17_21_01226, v0) % 4.06/1.62 | % 4.06/1.62 | Instantiating (43) with all_22_0_5 yields: % 4.06/1.62 | (44) ra_Px1(i2003_11_14_17_21_01226, all_22_0_5) % 4.06/1.62 | % 4.06/1.62 | Instantiating formula (11) with all_12_0_3, all_14_0_4, i2003_11_14_17_21_01226 and discharging atoms rrx(i2003_11_14_17_21_01226, all_14_0_4), rrx(i2003_11_14_17_21_01226, all_12_0_3), yields: % 4.06/1.63 | (45) all_14_0_4 = all_12_0_3 % 4.06/1.63 | % 4.06/1.63 | From (45) and (40) follows: % 4.06/1.63 | (46) cc2(all_12_0_3) % 4.06/1.63 | % 4.06/1.63 | Instantiating formula (17) with all_12_0_3 and discharging atoms cc2(all_12_0_3), cc1(all_12_0_3), yields: % 4.06/1.63 | (47) ca_Ax2(all_12_0_3) % 4.06/1.63 | % 4.06/1.63 | Instantiating formula (23) with all_12_0_3, i2003_11_14_17_21_01226 and discharging atoms rrx3(i2003_11_14_17_21_01226, all_12_0_3), ca_Ax2(all_12_0_3), yields: % 4.06/1.63 | (48) ca_Cx1xcomp(i2003_11_14_17_21_01226) % 4.06/1.63 | % 4.06/1.63 | Instantiating formula (30) with all_22_0_5, i2003_11_14_17_21_01226 and discharging atoms ra_Px1(i2003_11_14_17_21_01226, all_22_0_5), ca_Cx1xcomp(i2003_11_14_17_21_01226), yields: % 4.06/1.63 | (49) $false % 4.06/1.63 | % 4.06/1.63 |-The branch is then unsatisfiable % 4.06/1.63 % SZS output end Proof for theBenchmark % 4.06/1.63 % 4.06/1.63 1009ms %------------------------------------------------------------------------------