%------------------------------------------------------------------------------ % File : ePrincess---1.0 % Problem : KRS097+1 : TPTP v8.1.0. Released v3.1.0. % Transfm : none % Format : tptp:raw % Command : ePrincess-casc -timeout=%d %s % Computer : n018.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 02:56:33 EDT 2022 % Result : Unsatisfiable 2.42s 1.25s % Output : Proof 3.47s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.10/0.11 % Problem : KRS097+1 : TPTP v8.1.0. Released v3.1.0. % 0.10/0.12 % Command : ePrincess-casc -timeout=%d %s % 0.11/0.33 % Computer : n018.cluster.edu % 0.11/0.33 % Model : x86_64 x86_64 % 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.11/0.33 % Memory : 8042.1875MB % 0.11/0.33 % 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 20:48:21 EDT 2022 % 0.11/0.33 % CPUTime : % 0.18/0.58 ____ _ % 0.18/0.58 ___ / __ \_____(_)___ ________ __________ % 0.18/0.58 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/ % 0.18/0.58 / __/ ____/ / / / / / / /__/ __(__ |__ ) % 0.18/0.58 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/ % 0.18/0.58 % 0.18/0.58 A Theorem Prover for First-Order Logic % 0.18/0.58 (ePrincess v.1.0) % 0.18/0.58 % 0.18/0.58 (c) Philipp Rümmer, 2009-2015 % 0.18/0.58 (c) Peter Backeman, 2014-2015 % 0.18/0.58 (contributions by Angelo Brillout, Peter Baumgartner) % 0.18/0.58 Free software under GNU Lesser General Public License (LGPL). % 0.18/0.58 Bug reports to peter@backeman.se % 0.18/0.58 % 0.18/0.58 For more information, visit http://user.uu.se/~petba168/breu/ % 0.18/0.58 % 0.18/0.58 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ... % 0.68/0.66 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all % 1.60/0.99 Prover 0: Preprocessing ... % 2.02/1.15 Prover 0: Warning: ignoring some quantifiers % 2.02/1.16 Prover 0: Constructing countermodel ... % 2.42/1.25 Prover 0: proved (588ms) % 2.42/1.25 % 2.42/1.25 No countermodel exists, formula is valid % 2.42/1.25 % SZS status Unsatisfiable for theBenchmark % 2.42/1.25 % 2.42/1.25 Generating proof ... Warning: ignoring some quantifiers % 3.41/1.47 found it (size 17) % 3.41/1.47 % 3.41/1.47 % SZS output start Proof for theBenchmark % 3.41/1.47 Assumed formulas after preprocessing and simplification: % 3.41/1.47 | (0) cUnsatisfiable(i2003_11_14_17_20_21603) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ rr(v0, v3) | ~ rr(v0, v2) | ~ rr(v0, v1) | ~ cd(v2) | ~ cc(v1) | cUnsatisfiable(v0) | ? [v4] : ? [v5] : ( ~ (v5 = v4) & rr(v0, v5) & rr(v0, v4))) & ! [v0] : ! [v1] : ! [v2] : (v2 = v1 | ~ rr(v0, v2) | ~ rr(v0, v1) | ~ cUnsatisfiable(v0)) & ! [v0] : ! [v1] : ( ~ rt3(v0, v1) | rtt(v0, v1)) & ! [v0] : ! [v1] : ( ~ rt2(v0, v1) | rtt(v0, v1)) & ! [v0] : ! [v1] : ( ~ rt1(v0, v1) | rtt(v0, v1)) & ! [v0] : ! [v1] : ( ~ rr3(v0, v1) | rr(v0, v1)) & ! [v0] : ! [v1] : ( ~ rr2(v0, v1) | rr(v0, v1)) & ! [v0] : ! [v1] : ( ~ rr1(v0, v1) | rr(v0, v1)) & ! [v0] : ( ~ xsd_string(v0) | ~ xsd_integer(v0)) & ! [v0] : ~ cowlNothing(v0) & ! [v0] : ( ~ ce(v0) | ~ cd(v0)) & ! [v0] : ( ~ ce(v0) | ~ cc(v0)) & ! [v0] : ( ~ cd(v0) | ~ cc(v0)) & ! [v0] : ( ~ cd(v0) | ca(v0)) & ! [v0] : ( ~ cc(v0) | ca(v0)) & ! [v0] : ( ~ ca(v0) | cd(v0) | cc(v0)) & ! [v0] : ( ~ cUnsatisfiable(v0) | ? [v1] : (rr(v0, v1) & cd(v1))) & ! [v0] : ( ~ cUnsatisfiable(v0) | ? [v1] : (rr(v0, v1) & cc(v1))) & ! [v0] : ( ~ cUnsatisfiable(v0) | ? [v1] : rr(v0, v1)) & ? [v0] : (xsd_string(v0) | xsd_integer(v0)) & ? [v0] : cowlThing(v0) % 3.41/1.48 | Applying alpha-rule on (0) yields: % 3.41/1.48 | (1) ! [v0] : ~ cowlNothing(v0) % 3.41/1.48 | (2) ! [v0] : ! [v1] : ! [v2] : (v2 = v1 | ~ rr(v0, v2) | ~ rr(v0, v1) | ~ cUnsatisfiable(v0)) % 3.41/1.49 | (3) ! [v0] : ! [v1] : ( ~ rt3(v0, v1) | rtt(v0, v1)) % 3.41/1.49 | (4) ! [v0] : ( ~ xsd_string(v0) | ~ xsd_integer(v0)) % 3.41/1.49 | (5) ! [v0] : ! [v1] : ( ~ rr3(v0, v1) | rr(v0, v1)) % 3.41/1.49 | (6) ! [v0] : ( ~ ca(v0) | cd(v0) | cc(v0)) % 3.41/1.49 | (7) ! [v0] : ( ~ cUnsatisfiable(v0) | ? [v1] : (rr(v0, v1) & cc(v1))) % 3.41/1.49 | (8) ! [v0] : ( ~ cd(v0) | ~ cc(v0)) % 3.41/1.49 | (9) ! [v0] : ! [v1] : ( ~ rt2(v0, v1) | rtt(v0, v1)) % 3.41/1.49 | (10) ? [v0] : cowlThing(v0) % 3.41/1.49 | (11) cUnsatisfiable(i2003_11_14_17_20_21603) % 3.41/1.49 | (12) ! [v0] : ( ~ cc(v0) | ca(v0)) % 3.41/1.49 | (13) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ rr(v0, v3) | ~ rr(v0, v2) | ~ rr(v0, v1) | ~ cd(v2) | ~ cc(v1) | cUnsatisfiable(v0) | ? [v4] : ? [v5] : ( ~ (v5 = v4) & rr(v0, v5) & rr(v0, v4))) % 3.41/1.49 | (14) ! [v0] : ( ~ ce(v0) | ~ cc(v0)) % 3.41/1.49 | (15) ! [v0] : ( ~ cUnsatisfiable(v0) | ? [v1] : rr(v0, v1)) % 3.41/1.49 | (16) ! [v0] : ( ~ cUnsatisfiable(v0) | ? [v1] : (rr(v0, v1) & cd(v1))) % 3.41/1.49 | (17) ? [v0] : (xsd_string(v0) | xsd_integer(v0)) % 3.41/1.49 | (18) ! [v0] : ( ~ ce(v0) | ~ cd(v0)) % 3.41/1.49 | (19) ! [v0] : ! [v1] : ( ~ rr1(v0, v1) | rr(v0, v1)) % 3.41/1.49 | (20) ! [v0] : ! [v1] : ( ~ rr2(v0, v1) | rr(v0, v1)) % 3.41/1.49 | (21) ! [v0] : ! [v1] : ( ~ rt1(v0, v1) | rtt(v0, v1)) % 3.41/1.49 | (22) ! [v0] : ( ~ cd(v0) | ca(v0)) % 3.41/1.49 | % 3.41/1.49 | Instantiating formula (16) with i2003_11_14_17_20_21603 and discharging atoms cUnsatisfiable(i2003_11_14_17_20_21603), yields: % 3.41/1.49 | (23) ? [v0] : (rr(i2003_11_14_17_20_21603, v0) & cd(v0)) % 3.41/1.49 | % 3.41/1.49 | Instantiating formula (7) with i2003_11_14_17_20_21603 and discharging atoms cUnsatisfiable(i2003_11_14_17_20_21603), yields: % 3.41/1.49 | (24) ? [v0] : (rr(i2003_11_14_17_20_21603, v0) & cc(v0)) % 3.47/1.49 | % 3.47/1.49 | Instantiating formula (15) with i2003_11_14_17_20_21603 and discharging atoms cUnsatisfiable(i2003_11_14_17_20_21603), yields: % 3.47/1.49 | (25) ? [v0] : rr(i2003_11_14_17_20_21603, v0) % 3.47/1.49 | % 3.47/1.49 | Instantiating (25) with all_10_0_2 yields: % 3.47/1.49 | (26) rr(i2003_11_14_17_20_21603, all_10_0_2) % 3.47/1.49 | % 3.47/1.49 | Instantiating (23) with all_12_0_3 yields: % 3.47/1.50 | (27) rr(i2003_11_14_17_20_21603, all_12_0_3) & cd(all_12_0_3) % 3.47/1.50 | % 3.47/1.50 | Applying alpha-rule on (27) yields: % 3.47/1.50 | (28) rr(i2003_11_14_17_20_21603, all_12_0_3) % 3.47/1.50 | (29) cd(all_12_0_3) % 3.47/1.50 | % 3.47/1.50 | Instantiating (24) with all_14_0_4 yields: % 3.47/1.50 | (30) rr(i2003_11_14_17_20_21603, all_14_0_4) & cc(all_14_0_4) % 3.47/1.50 | % 3.47/1.50 | Applying alpha-rule on (30) yields: % 3.47/1.50 | (31) rr(i2003_11_14_17_20_21603, all_14_0_4) % 3.47/1.50 | (32) cc(all_14_0_4) % 3.47/1.50 | % 3.47/1.50 | Instantiating formula (2) with all_12_0_3, all_14_0_4, i2003_11_14_17_20_21603 and discharging atoms rr(i2003_11_14_17_20_21603, all_14_0_4), rr(i2003_11_14_17_20_21603, all_12_0_3), cUnsatisfiable(i2003_11_14_17_20_21603), yields: % 3.47/1.50 | (33) all_14_0_4 = all_12_0_3 % 3.47/1.50 | % 3.47/1.50 | Instantiating formula (2) with all_10_0_2, all_14_0_4, i2003_11_14_17_20_21603 and discharging atoms rr(i2003_11_14_17_20_21603, all_14_0_4), rr(i2003_11_14_17_20_21603, all_10_0_2), cUnsatisfiable(i2003_11_14_17_20_21603), yields: % 3.47/1.50 | (34) all_14_0_4 = all_10_0_2 % 3.47/1.50 | % 3.47/1.50 | Combining equations (33,34) yields a new equation: % 3.47/1.50 | (35) all_12_0_3 = all_10_0_2 % 3.47/1.50 | % 3.47/1.50 | Simplifying 35 yields: % 3.47/1.50 | (36) all_12_0_3 = all_10_0_2 % 3.47/1.50 | % 3.47/1.50 | From (36) and (29) follows: % 3.47/1.50 | (37) cd(all_10_0_2) % 3.47/1.50 | % 3.47/1.50 | From (34) and (32) follows: % 3.47/1.50 | (38) cc(all_10_0_2) % 3.47/1.50 | % 3.47/1.50 | Instantiating formula (8) with all_10_0_2 and discharging atoms cd(all_10_0_2), cc(all_10_0_2), yields: % 3.47/1.50 | (39) $false % 3.47/1.50 | % 3.47/1.50 |-The branch is then unsatisfiable % 3.47/1.50 % SZS output end Proof for theBenchmark % 3.47/1.50 % 3.47/1.50 901ms %------------------------------------------------------------------------------