%------------------------------------------------------------------------------ % File : ePrincess---1.0 % Problem : KRS118+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 02:56:37 EDT 2022 % Result : Unsatisfiable 2.51s 1.23s % Output : Proof 3.72s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.12 % Problem : KRS118+1 : TPTP v8.1.0. Released v3.1.0. % 0.11/0.12 % 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 06:48:03 EDT 2022 % 0.13/0.33 % CPUTime : % 0.20/0.58 ____ _ % 0.20/0.58 ___ / __ \_____(_)___ ________ __________ % 0.20/0.58 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/ % 0.20/0.58 / __/ ____/ / / / / / / /__/ __(__ |__ ) % 0.20/0.58 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/ % 0.20/0.58 % 0.20/0.58 A Theorem Prover for First-Order Logic % 0.20/0.58 (ePrincess v.1.0) % 0.20/0.58 % 0.20/0.58 (c) Philipp Rümmer, 2009-2015 % 0.20/0.58 (c) Peter Backeman, 2014-2015 % 0.20/0.58 (contributions by Angelo Brillout, Peter Baumgartner) % 0.20/0.58 Free software under GNU Lesser General Public License (LGPL). % 0.20/0.58 Bug reports to peter@backeman.se % 0.20/0.58 % 0.20/0.58 For more information, visit http://user.uu.se/~petba168/breu/ % 0.20/0.58 % 0.20/0.59 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ... % 0.73/0.63 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all % 1.64/0.92 Prover 0: Preprocessing ... % 1.88/1.07 Prover 0: Warning: ignoring some quantifiers % 2.10/1.09 Prover 0: Constructing countermodel ... % 2.51/1.22 Prover 0: proved (594ms) % 2.51/1.23 % 2.51/1.23 No countermodel exists, formula is valid % 2.51/1.23 % SZS status Unsatisfiable for theBenchmark % 2.51/1.23 % 2.51/1.23 Generating proof ... Warning: ignoring some quantifiers % 3.59/1.47 found it (size 27) % 3.59/1.47 % 3.59/1.47 % SZS output start Proof for theBenchmark % 3.59/1.47 Assumed formulas after preprocessing and simplification: % 3.59/1.47 | (0) cUnsatisfiable(i2003_11_14_17_21_4056) & ! [v0] : ! [v1] : ! [v2] : (v2 = v1 | ~ rf(v0, v2) | ~ rf(v0, v1)) & ! [v0] : ! [v1] : ! [v2] : ( ~ rr(v1, v2) | ~ rr(v0, v1) | rr(v0, v2)) & ! [v0] : ! [v1] : ( ~ rr(v1, v0) | rinvR(v0, v1)) & ! [v0] : ! [v1] : ( ~ rinvR(v0, v1) | ~ cUnsatisfiable(v0) | ca_Vx3(v1)) & ! [v0] : ! [v1] : ( ~ rinvR(v0, v1) | rr(v1, v0)) & ! [v0] : ! [v1] : ( ~ rinvF(v0, v1) | ~ cd(v1) | ~ ccxcomp(v0) | cUnsatisfiable(v0) | ? [v2] : (rinvR(v0, v2) & ~ ca_Vx3(v2))) & ! [v0] : ! [v1] : ( ~ rinvF(v0, v1) | ~ cd(v1) | ca_Vx3(v0)) & ! [v0] : ! [v1] : ( ~ rinvF(v0, v1) | rf(v1, v0)) & ! [v0] : ! [v1] : ( ~ rf(v1, v0) | rinvF(v0, v1)) & ! [v0] : ! [v1] : ( ~ rf(v0, v1) | ~ ccxcomp(v1) | ~ cc(v0) | cd(v0)) & ! [v0] : ! [v1] : ( ~ rf(v0, v1) | rr(v0, v1)) & ! [v0] : ! [v1] : ( ~ ra_Px1(v0, v1) | ~ cc(v0)) & ! [v0] : ! [v1] : ( ~ ra_Px1(v0, v1) | ccxcomp(v0)) & ! [v0] : ( ~ xsd_string(v0) | ~ xsd_integer(v0)) & ! [v0] : ~ cowlNothing(v0) & ! [v0] : ( ~ cd(v0) | cc(v0)) & ! [v0] : ( ~ cd(v0) | ? [v1] : (rf(v0, v1) & ccxcomp(v1))) & ! [v0] : ( ~ ccxcomp(v0) | ? [v1] : ra_Px1(v0, v1)) & ! [v0] : ( ~ ca_Vx3(v0) | ? [v1] : (rinvF(v0, v1) & cd(v1))) & ! [v0] : ( ~ cUnsatisfiable(v0) | ccxcomp(v0)) & ! [v0] : ( ~ cUnsatisfiable(v0) | ? [v1] : (rinvF(v0, v1) & cd(v1))) & ? [v0] : (xsd_string(v0) | xsd_integer(v0)) & ? [v0] : cowlThing(v0) & ? [v0] : (cc(v0) | ? [v1] : ra_Px1(v0, v1)) % 3.59/1.49 | Applying alpha-rule on (0) yields: % 3.59/1.49 | (1) ! [v0] : ~ cowlNothing(v0) % 3.59/1.49 | (2) ! [v0] : ( ~ cd(v0) | cc(v0)) % 3.59/1.49 | (3) ! [v0] : ! [v1] : ! [v2] : ( ~ rr(v1, v2) | ~ rr(v0, v1) | rr(v0, v2)) % 3.59/1.49 | (4) ! [v0] : ( ~ cUnsatisfiable(v0) | ? [v1] : (rinvF(v0, v1) & cd(v1))) % 3.59/1.49 | (5) ? [v0] : (xsd_string(v0) | xsd_integer(v0)) % 3.59/1.49 | (6) ? [v0] : (cc(v0) | ? [v1] : ra_Px1(v0, v1)) % 3.59/1.49 | (7) ? [v0] : cowlThing(v0) % 3.59/1.49 | (8) ! [v0] : ! [v1] : ( ~ rf(v1, v0) | rinvF(v0, v1)) % 3.59/1.49 | (9) ! [v0] : ! [v1] : ( ~ rinvF(v0, v1) | rf(v1, v0)) % 3.59/1.49 | (10) ! [v0] : ( ~ xsd_string(v0) | ~ xsd_integer(v0)) % 3.59/1.49 | (11) ! [v0] : ! [v1] : ( ~ rf(v0, v1) | rr(v0, v1)) % 3.59/1.49 | (12) ! [v0] : ! [v1] : ( ~ rinvR(v0, v1) | rr(v1, v0)) % 3.59/1.49 | (13) ! [v0] : ! [v1] : ( ~ rr(v1, v0) | rinvR(v0, v1)) % 3.59/1.49 | (14) ! [v0] : ! [v1] : ( ~ rf(v0, v1) | ~ ccxcomp(v1) | ~ cc(v0) | cd(v0)) % 3.59/1.49 | (15) ! [v0] : ! [v1] : ( ~ rinvF(v0, v1) | ~ cd(v1) | ~ ccxcomp(v0) | cUnsatisfiable(v0) | ? [v2] : (rinvR(v0, v2) & ~ ca_Vx3(v2))) % 3.59/1.49 | (16) ! [v0] : ( ~ cd(v0) | ? [v1] : (rf(v0, v1) & ccxcomp(v1))) % 3.59/1.49 | (17) ! [v0] : ( ~ ca_Vx3(v0) | ? [v1] : (rinvF(v0, v1) & cd(v1))) % 3.59/1.49 | (18) ! [v0] : ( ~ cUnsatisfiable(v0) | ccxcomp(v0)) % 3.59/1.49 | (19) ! [v0] : ! [v1] : ( ~ rinvR(v0, v1) | ~ cUnsatisfiable(v0) | ca_Vx3(v1)) % 3.59/1.49 | (20) ! [v0] : ! [v1] : ( ~ ra_Px1(v0, v1) | ~ cc(v0)) % 3.59/1.49 | (21) ! [v0] : ! [v1] : ( ~ rinvF(v0, v1) | ~ cd(v1) | ca_Vx3(v0)) % 3.59/1.49 | (22) ! [v0] : ( ~ ccxcomp(v0) | ? [v1] : ra_Px1(v0, v1)) % 3.59/1.50 | (23) ! [v0] : ! [v1] : ! [v2] : (v2 = v1 | ~ rf(v0, v2) | ~ rf(v0, v1)) % 3.59/1.50 | (24) ! [v0] : ! [v1] : ( ~ ra_Px1(v0, v1) | ccxcomp(v0)) % 3.59/1.50 | (25) cUnsatisfiable(i2003_11_14_17_21_4056) % 3.59/1.50 | % 3.59/1.50 | Instantiating formula (4) with i2003_11_14_17_21_4056 and discharging atoms cUnsatisfiable(i2003_11_14_17_21_4056), yields: % 3.59/1.50 | (26) ? [v0] : (rinvF(i2003_11_14_17_21_4056, v0) & cd(v0)) % 3.59/1.50 | % 3.59/1.50 | Instantiating (26) with all_12_0_3 yields: % 3.59/1.50 | (27) rinvF(i2003_11_14_17_21_4056, all_12_0_3) & cd(all_12_0_3) % 3.59/1.50 | % 3.59/1.50 | Applying alpha-rule on (27) yields: % 3.59/1.50 | (28) rinvF(i2003_11_14_17_21_4056, all_12_0_3) % 3.59/1.50 | (29) cd(all_12_0_3) % 3.59/1.50 | % 3.59/1.50 | Instantiating formula (9) with all_12_0_3, i2003_11_14_17_21_4056 and discharging atoms rinvF(i2003_11_14_17_21_4056, all_12_0_3), yields: % 3.59/1.50 | (30) rf(all_12_0_3, i2003_11_14_17_21_4056) % 3.59/1.50 | % 3.59/1.50 | Instantiating formula (2) with all_12_0_3 and discharging atoms cd(all_12_0_3), yields: % 3.59/1.50 | (31) cc(all_12_0_3) % 3.59/1.50 | % 3.59/1.50 | Instantiating formula (16) with all_12_0_3 and discharging atoms cd(all_12_0_3), yields: % 3.59/1.50 | (32) ? [v0] : (rf(all_12_0_3, v0) & ccxcomp(v0)) % 3.59/1.50 | % 3.59/1.50 | Instantiating (32) with all_22_0_5 yields: % 3.59/1.50 | (33) rf(all_12_0_3, all_22_0_5) & ccxcomp(all_22_0_5) % 3.59/1.50 | % 3.59/1.50 | Applying alpha-rule on (33) yields: % 3.59/1.50 | (34) rf(all_12_0_3, all_22_0_5) % 3.59/1.50 | (35) ccxcomp(all_22_0_5) % 3.59/1.50 | % 3.59/1.50 | Instantiating formula (23) with i2003_11_14_17_21_4056, all_22_0_5, all_12_0_3 and discharging atoms rf(all_12_0_3, all_22_0_5), rf(all_12_0_3, i2003_11_14_17_21_4056), yields: % 3.59/1.50 | (36) all_22_0_5 = i2003_11_14_17_21_4056 % 3.59/1.50 | % 3.59/1.50 | From (36) and (34) follows: % 3.59/1.50 | (30) rf(all_12_0_3, i2003_11_14_17_21_4056) % 3.59/1.50 | % 3.59/1.50 | Instantiating formula (11) with i2003_11_14_17_21_4056, all_12_0_3 and discharging atoms rf(all_12_0_3, i2003_11_14_17_21_4056), yields: % 3.59/1.50 | (38) rr(all_12_0_3, i2003_11_14_17_21_4056) % 3.59/1.50 | % 3.59/1.50 | Instantiating formula (13) with all_12_0_3, i2003_11_14_17_21_4056 and discharging atoms rr(all_12_0_3, i2003_11_14_17_21_4056), yields: % 3.59/1.50 | (39) rinvR(i2003_11_14_17_21_4056, all_12_0_3) % 3.72/1.50 | % 3.72/1.50 | Instantiating formula (19) with all_12_0_3, i2003_11_14_17_21_4056 and discharging atoms rinvR(i2003_11_14_17_21_4056, all_12_0_3), cUnsatisfiable(i2003_11_14_17_21_4056), yields: % 3.72/1.50 | (40) ca_Vx3(all_12_0_3) % 3.72/1.50 | % 3.72/1.50 | Instantiating formula (17) with all_12_0_3 and discharging atoms ca_Vx3(all_12_0_3), yields: % 3.72/1.50 | (41) ? [v0] : (rinvF(all_12_0_3, v0) & cd(v0)) % 3.72/1.50 | % 3.72/1.50 | Instantiating (41) with all_60_0_8 yields: % 3.72/1.50 | (42) rinvF(all_12_0_3, all_60_0_8) & cd(all_60_0_8) % 3.72/1.50 | % 3.72/1.50 | Applying alpha-rule on (42) yields: % 3.72/1.50 | (43) rinvF(all_12_0_3, all_60_0_8) % 3.72/1.50 | (44) cd(all_60_0_8) % 3.72/1.50 | % 3.72/1.50 | Instantiating formula (9) with all_60_0_8, all_12_0_3 and discharging atoms rinvF(all_12_0_3, all_60_0_8), yields: % 3.72/1.50 | (45) rf(all_60_0_8, all_12_0_3) % 3.72/1.50 | % 3.72/1.50 | Instantiating formula (16) with all_60_0_8 and discharging atoms cd(all_60_0_8), yields: % 3.72/1.50 | (46) ? [v0] : (rf(all_60_0_8, v0) & ccxcomp(v0)) % 3.72/1.50 | % 3.72/1.50 | Instantiating (46) with all_68_0_9 yields: % 3.72/1.50 | (47) rf(all_60_0_8, all_68_0_9) & ccxcomp(all_68_0_9) % 3.72/1.50 | % 3.72/1.50 | Applying alpha-rule on (47) yields: % 3.72/1.50 | (48) rf(all_60_0_8, all_68_0_9) % 3.72/1.50 | (49) ccxcomp(all_68_0_9) % 3.72/1.50 | % 3.72/1.50 | Instantiating formula (23) with all_12_0_3, all_68_0_9, all_60_0_8 and discharging atoms rf(all_60_0_8, all_68_0_9), rf(all_60_0_8, all_12_0_3), yields: % 3.72/1.51 | (50) all_68_0_9 = all_12_0_3 % 3.72/1.51 | % 3.72/1.51 | From (50) and (49) follows: % 3.72/1.51 | (51) ccxcomp(all_12_0_3) % 3.72/1.51 | % 3.72/1.51 | Instantiating formula (22) with all_12_0_3 and discharging atoms ccxcomp(all_12_0_3), yields: % 3.72/1.51 | (52) ? [v0] : ra_Px1(all_12_0_3, v0) % 3.72/1.51 | % 3.72/1.51 | Instantiating (52) with all_82_0_11 yields: % 3.72/1.51 | (53) ra_Px1(all_12_0_3, all_82_0_11) % 3.72/1.51 | % 3.72/1.51 | Instantiating formula (20) with all_82_0_11, all_12_0_3 and discharging atoms ra_Px1(all_12_0_3, all_82_0_11), cc(all_12_0_3), yields: % 3.72/1.51 | (54) $false % 3.72/1.51 | % 3.72/1.51 |-The branch is then unsatisfiable % 3.72/1.51 % SZS output end Proof for theBenchmark % 3.72/1.51 % 3.72/1.51 912ms %------------------------------------------------------------------------------