%------------------------------------------------------------------------------ % File : ePrincess---1.0 % Problem : KRS119+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 02:56:37 EDT 2022 % Result : Unsatisfiable 2.50s 1.24s % Output : Proof 3.40s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.12 % Problem : KRS119+1 : TPTP v8.1.0. Released v3.1.0. % 0.03/0.12 % Command : ePrincess-casc -timeout=%d %s % 0.12/0.33 % Computer : n019.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 08:37:40 EDT 2022 % 0.12/0.34 % CPUTime : % 0.54/0.57 ____ _ % 0.54/0.57 ___ / __ \_____(_)___ ________ __________ % 0.54/0.57 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/ % 0.54/0.57 / __/ ____/ / / / / / / /__/ __(__ |__ ) % 0.54/0.57 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/ % 0.54/0.57 % 0.54/0.57 A Theorem Prover for First-Order Logic % 0.54/0.58 (ePrincess v.1.0) % 0.54/0.58 % 0.54/0.58 (c) Philipp Rümmer, 2009-2015 % 0.54/0.58 (c) Peter Backeman, 2014-2015 % 0.54/0.58 (contributions by Angelo Brillout, Peter Baumgartner) % 0.54/0.58 Free software under GNU Lesser General Public License (LGPL). % 0.54/0.58 Bug reports to peter@backeman.se % 0.54/0.58 % 0.54/0.58 For more information, visit http://user.uu.se/~petba168/breu/ % 0.54/0.58 % 0.54/0.58 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ... % 0.59/0.63 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all % 1.57/0.93 Prover 0: Preprocessing ... % 1.97/1.10 Prover 0: Warning: ignoring some quantifiers % 1.97/1.12 Prover 0: Constructing countermodel ... % 2.50/1.24 Prover 0: proved (612ms) % 2.50/1.24 % 2.50/1.24 No countermodel exists, formula is valid % 2.50/1.24 % SZS status Unsatisfiable for theBenchmark % 2.50/1.24 % 2.50/1.24 Generating proof ... Warning: ignoring some quantifiers % 3.18/1.46 found it (size 15) % 3.18/1.46 % 3.18/1.46 % SZS output start Proof for theBenchmark % 3.18/1.46 Assumed formulas after preprocessing and simplification: % 3.18/1.46 | (0) cUnsatisfiable(i2003_11_14_17_21_44786) & ! [v0] : ! [v1] : ! [v2] : (v2 = v1 | ~ rf(v0, v2) | ~ rf(v0, v1) | ~ cowlThing(v0)) & ! [v0] : ! [v1] : ! [v2] : ( ~ rr(v1, v2) | ~ rr(v0, v1) | rr(v0, v2)) & ! [v0] : ! [v1] : ( ~ rr(v1, v0) | rinvR(v0, v1)) & ! [v0] : ! [v1] : ( ~ rr(v0, v1) | ~ cp1(v0) | ~ ca_Vx3(v1) | cUnsatisfiable(v0)) & ! [v0] : ! [v1] : ( ~ rr(v0, v1) | ~ ca_Ax2(v1) | ca_Vx3(v0)) & ! [v0] : ! [v1] : ( ~ rinvR(v0, v1) | ~ ca_Ax2(v0) | cp1xcomp(v1)) & ! [v0] : ! [v1] : ( ~ rinvR(v0, v1) | rr(v1, v0)) & ! [v0] : ! [v1] : ( ~ rinvF(v0, v1) | rf(v1, v0)) & ! [v0] : ! [v1] : ( ~ rf(v1, v0) | rinvF(v0, v1)) & ! [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] : (rinvR(v0, v1) & ~ cp1xcomp(v1))) & ! [v0] : ~ cowlNothing(v0) & ! [v0] : ( ~ ca_Vx3(v0) | ? [v1] : (rr(v0, v1) & ca_Ax2(v1))) & ! [v0] : ( ~ ca_Ax2(v0) | cp1(v0)) & ! [v0] : ( ~ cUnsatisfiable(v0) | cp1(v0)) & ! [v0] : ( ~ cUnsatisfiable(v0) | ? [v1] : (rr(v0, v1) & ca_Vx3(v1))) & ? [v0] : (xsd_string(v0) | xsd_integer(v0)) & ? [v0] : (cp1(v0) | ? [v1] : ra_Px1(v0, v1)) & ? [v0] : cowlThing(v0) % 3.40/1.47 | Applying alpha-rule on (0) yields: % 3.40/1.47 | (1) ! [v0] : ( ~ xsd_string(v0) | ~ xsd_integer(v0)) % 3.40/1.47 | (2) ! [v0] : ! [v1] : ( ~ rf(v1, v0) | rinvF(v0, v1)) % 3.40/1.47 | (3) ! [v0] : ! [v1] : ( ~ rinvF(v0, v1) | rf(v1, v0)) % 3.40/1.47 | (4) ! [v0] : ( ~ ca_Vx3(v0) | ? [v1] : (rr(v0, v1) & ca_Ax2(v1))) % 3.40/1.47 | (5) ! [v0] : ! [v1] : ( ~ ra_Px1(v0, v1) | cp1xcomp(v0)) % 3.40/1.47 | (6) ! [v0] : ! [v1] : ( ~ rr(v0, v1) | ~ cp1(v0) | ~ ca_Vx3(v1) | cUnsatisfiable(v0)) % 3.40/1.47 | (7) cUnsatisfiable(i2003_11_14_17_21_44786) % 3.40/1.47 | (8) ! [v0] : ! [v1] : ( ~ rinvR(v0, v1) | rr(v1, v0)) % 3.40/1.47 | (9) ! [v0] : ! [v1] : ( ~ rr(v1, v0) | rinvR(v0, v1)) % 3.40/1.48 | (10) ! [v0] : ! [v1] : ! [v2] : ( ~ rr(v1, v2) | ~ rr(v0, v1) | rr(v0, v2)) % 3.40/1.48 | (11) ! [v0] : ! [v1] : ! [v2] : (v2 = v1 | ~ rf(v0, v2) | ~ rf(v0, v1) | ~ cowlThing(v0)) % 3.40/1.48 | (12) ! [v0] : ( ~ cp1(v0) | ca_Ax2(v0) | ? [v1] : (rinvR(v0, v1) & ~ cp1xcomp(v1))) % 3.40/1.48 | (13) ? [v0] : (cp1(v0) | ? [v1] : ra_Px1(v0, v1)) % 3.40/1.48 | (14) ! [v0] : ! [v1] : ( ~ ra_Px1(v0, v1) | ~ cp1(v0)) % 3.40/1.48 | (15) ! [v0] : ~ cowlNothing(v0) % 3.40/1.48 | (16) ? [v0] : cowlThing(v0) % 3.40/1.48 | (17) ? [v0] : (xsd_string(v0) | xsd_integer(v0)) % 3.40/1.48 | (18) ! [v0] : ( ~ ca_Ax2(v0) | cp1(v0)) % 3.40/1.48 | (19) ! [v0] : ! [v1] : ( ~ rr(v0, v1) | ~ ca_Ax2(v1) | ca_Vx3(v0)) % 3.40/1.48 | (20) ! [v0] : ! [v1] : ( ~ rinvR(v0, v1) | ~ ca_Ax2(v0) | cp1xcomp(v1)) % 3.40/1.48 | (21) ! [v0] : ( ~ cp1xcomp(v0) | ? [v1] : ra_Px1(v0, v1)) % 3.40/1.48 | (22) ! [v0] : ( ~ cUnsatisfiable(v0) | ? [v1] : (rr(v0, v1) & ca_Vx3(v1))) % 3.40/1.48 | (23) ! [v0] : ( ~ cUnsatisfiable(v0) | cp1(v0)) % 3.40/1.48 | % 3.40/1.48 | Instantiating formula (23) with i2003_11_14_17_21_44786 and discharging atoms cUnsatisfiable(i2003_11_14_17_21_44786), yields: % 3.40/1.48 | (24) cp1(i2003_11_14_17_21_44786) % 3.40/1.48 | % 3.40/1.48 | Instantiating formula (22) with i2003_11_14_17_21_44786 and discharging atoms cUnsatisfiable(i2003_11_14_17_21_44786), yields: % 3.40/1.48 | (25) ? [v0] : (rr(i2003_11_14_17_21_44786, v0) & ca_Vx3(v0)) % 3.40/1.48 | % 3.40/1.48 | Instantiating (25) with all_12_0_3 yields: % 3.40/1.48 | (26) rr(i2003_11_14_17_21_44786, all_12_0_3) & ca_Vx3(all_12_0_3) % 3.40/1.48 | % 3.40/1.48 | Applying alpha-rule on (26) yields: % 3.40/1.48 | (27) rr(i2003_11_14_17_21_44786, all_12_0_3) % 3.40/1.48 | (28) ca_Vx3(all_12_0_3) % 3.40/1.48 | % 3.40/1.48 | Instantiating formula (4) with all_12_0_3 and discharging atoms ca_Vx3(all_12_0_3), yields: % 3.40/1.48 | (29) ? [v0] : (rr(all_12_0_3, v0) & ca_Ax2(v0)) % 3.40/1.48 | % 3.40/1.48 | Instantiating (29) with all_20_0_4 yields: % 3.40/1.48 | (30) rr(all_12_0_3, all_20_0_4) & ca_Ax2(all_20_0_4) % 3.40/1.48 | % 3.40/1.48 | Applying alpha-rule on (30) yields: % 3.40/1.48 | (31) rr(all_12_0_3, all_20_0_4) % 3.40/1.48 | (32) ca_Ax2(all_20_0_4) % 3.40/1.48 | % 3.40/1.48 | Instantiating formula (10) with all_20_0_4, all_12_0_3, i2003_11_14_17_21_44786 and discharging atoms rr(all_12_0_3, all_20_0_4), rr(i2003_11_14_17_21_44786, all_12_0_3), yields: % 3.40/1.48 | (33) rr(i2003_11_14_17_21_44786, all_20_0_4) % 3.40/1.48 | % 3.40/1.48 | Instantiating formula (9) with i2003_11_14_17_21_44786, all_20_0_4 and discharging atoms rr(i2003_11_14_17_21_44786, all_20_0_4), yields: % 3.40/1.48 | (34) rinvR(all_20_0_4, i2003_11_14_17_21_44786) % 3.40/1.48 | % 3.40/1.49 | Instantiating formula (20) with i2003_11_14_17_21_44786, all_20_0_4 and discharging atoms rinvR(all_20_0_4, i2003_11_14_17_21_44786), ca_Ax2(all_20_0_4), yields: % 3.40/1.49 | (35) cp1xcomp(i2003_11_14_17_21_44786) % 3.40/1.49 | % 3.40/1.49 | Instantiating formula (21) with i2003_11_14_17_21_44786 and discharging atoms cp1xcomp(i2003_11_14_17_21_44786), yields: % 3.40/1.49 | (36) ? [v0] : ra_Px1(i2003_11_14_17_21_44786, v0) % 3.40/1.49 | % 3.40/1.49 | Instantiating (36) with all_50_0_7 yields: % 3.40/1.49 | (37) ra_Px1(i2003_11_14_17_21_44786, all_50_0_7) % 3.40/1.49 | % 3.40/1.49 | Instantiating formula (14) with all_50_0_7, i2003_11_14_17_21_44786 and discharging atoms ra_Px1(i2003_11_14_17_21_44786, all_50_0_7), cp1(i2003_11_14_17_21_44786), yields: % 3.40/1.49 | (38) $false % 3.40/1.49 | % 3.40/1.49 |-The branch is then unsatisfiable % 3.40/1.49 % SZS output end Proof for theBenchmark % 3.40/1.49 % 3.40/1.49 900ms %------------------------------------------------------------------------------