%------------------------------------------------------------------------------ % File : ePrincess---1.0 % Problem : KRS068+1 : TPTP v8.1.0. Released v3.1.0. % Transfm : none % Format : tptp:raw % Command : ePrincess-casc -timeout=%d %s % Computer : n032.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 02:56:28 EDT 2022 % Result : Unsatisfiable 2.35s 1.21s % Output : Proof 3.39s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.05/0.09 % Problem : KRS068+1 : TPTP v8.1.0. Released v3.1.0. % 0.05/0.09 % Command : ePrincess-casc -timeout=%d %s % 0.09/0.28 % Computer : n032.cluster.edu % 0.09/0.28 % Model : x86_64 x86_64 % 0.09/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.09/0.28 % Memory : 8042.1875MB % 0.09/0.28 % OS : Linux 3.10.0-693.el7.x86_64 % 0.09/0.28 % CPULimit : 300 % 0.09/0.28 % WCLimit : 600 % 0.09/0.28 % DateTime : Tue Jun 7 13:28:20 EDT 2022 % 0.09/0.28 % CPUTime : % 0.13/0.45 ____ _ % 0.13/0.45 ___ / __ \_____(_)___ ________ __________ % 0.13/0.45 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/ % 0.13/0.45 / __/ ____/ / / / / / / /__/ __(__ |__ ) % 0.13/0.45 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/ % 0.13/0.45 % 0.13/0.45 A Theorem Prover for First-Order Logic % 0.13/0.45 (ePrincess v.1.0) % 0.13/0.45 % 0.13/0.45 (c) Philipp Rümmer, 2009-2015 % 0.13/0.45 (c) Peter Backeman, 2014-2015 % 0.13/0.45 (contributions by Angelo Brillout, Peter Baumgartner) % 0.13/0.45 Free software under GNU Lesser General Public License (LGPL). % 0.13/0.45 Bug reports to peter@backeman.se % 0.13/0.45 % 0.13/0.45 For more information, visit http://user.uu.se/~petba168/breu/ % 0.13/0.45 % 0.13/0.45 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ... % 0.13/0.49 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all % 0.96/0.72 Prover 0: Preprocessing ... % 1.16/0.78 Prover 0: Warning: ignoring some quantifiers % 1.16/0.80 Prover 0: Constructing countermodel ... % 1.30/0.90 Prover 0: gave up % 1.30/0.90 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -resolutionMethod=normal +ignoreQuantifiers -generateTriggers=all % 1.30/0.92 Prover 1: Preprocessing ... % 1.84/1.02 Prover 1: Constructing countermodel ... % 2.00/1.05 Prover 1: gave up % 2.00/1.05 Prover 2: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all % 2.00/1.06 Prover 2: Preprocessing ... % 2.24/1.14 Prover 2: Warning: ignoring some quantifiers % 2.24/1.14 Prover 2: Constructing countermodel ... % 2.35/1.21 Prover 2: proved (152ms) % 2.35/1.21 % 2.35/1.21 No countermodel exists, formula is valid % 2.35/1.21 % SZS status Unsatisfiable for theBenchmark % 2.35/1.21 % 2.35/1.21 Generating proof ... Warning: ignoring some quantifiers % 3.12/1.38 found it (size 23) % 3.12/1.38 % 3.12/1.38 % SZS output start Proof for theBenchmark % 3.12/1.38 Assumed formulas after preprocessing and simplification: % 3.12/1.38 | (0) cUnsatisfiable(i2003_11_14_17_18_23845) = 0 & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (rr(v3, v2) = v1) | ~ (rr(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (cc(v1) = v2) | ~ (cc(v0) = 0) | ? [v3] : ( ~ (v3 = 0) & rr(v0, v1) = v3)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (cd(v2) = v1) | ~ (cd(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (cc(v2) = v1) | ~ (cc(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (cUnsatisfiable(v2) = v1) | ~ (cUnsatisfiable(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (xsd_integer(v2) = v1) | ~ (xsd_integer(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (xsd_string(v2) = v1) | ~ (xsd_string(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (cowlNothing(v2) = v1) | ~ (cowlNothing(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (cowlThing(v2) = v1) | ~ (cowlThing(v2) = v0)) & ! [v0] : ! [v1] : (v1 = 0 | ~ (cd(v0) = v1) | ? [v2] : ? [v3] : ( ~ (v3 = 0) & rr(v0, v2) = 0 & cc(v2) = v3)) & ! [v0] : ! [v1] : (v1 = 0 | ~ (cc(v0) = v1) | ? [v2] : ( ~ (v2 = 0) & cUnsatisfiable(v0) = v2)) & ! [v0] : ! [v1] : (v1 = 0 | ~ (xsd_integer(v0) = v1) | xsd_string(v0) = 0) & ! [v0] : ! [v1] : (v1 = 0 | ~ (xsd_string(v0) = v1) | xsd_integer(v0) = 0) & ! [v0] : ! [v1] : (v1 = 0 | ~ (cowlThing(v0) = v1)) & ! [v0] : ! [v1] : ( ~ (rr(v0, v1) = 0) | ~ (cc(v0) = 0) | cc(v1) = 0) & ! [v0] : ( ~ (cd(v0) = 0) | ? [v1] : ( ~ (v1 = 0) & cUnsatisfiable(v0) = v1)) & ! [v0] : ( ~ (cUnsatisfiable(v0) = 0) | cc(v0) = 0) & ! [v0] : ( ~ (cUnsatisfiable(v0) = 0) | ? [v1] : ( ~ (v1 = 0) & cd(v0) = v1)) & ! [v0] : ( ~ (xsd_integer(v0) = 0) | ? [v1] : ( ~ (v1 = 0) & xsd_string(v0) = v1)) & ! [v0] : ( ~ (xsd_string(v0) = 0) | ? [v1] : ( ~ (v1 = 0) & xsd_integer(v0) = v1)) & ! [v0] : ~ (cowlNothing(v0) = 0) & ? [v0] : ? [v1] : ? [v2] : rr(v1, v0) = v2 & ? [v0] : ? [v1] : cd(v0) = v1 & ? [v0] : ? [v1] : cc(v0) = v1 & ? [v0] : ? [v1] : cUnsatisfiable(v0) = v1 & ? [v0] : ? [v1] : xsd_integer(v0) = v1 & ? [v0] : ? [v1] : xsd_string(v0) = v1 & ? [v0] : ? [v1] : cowlNothing(v0) = v1 & ? [v0] : ? [v1] : cowlThing(v0) = v1 % 3.12/1.41 | Applying alpha-rule on (0) yields: % 3.12/1.41 | (1) ! [v0] : ~ (cowlNothing(v0) = 0) % 3.12/1.41 | (2) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (cc(v1) = v2) | ~ (cc(v0) = 0) | ? [v3] : ( ~ (v3 = 0) & rr(v0, v1) = v3)) % 3.12/1.41 | (3) ? [v0] : ? [v1] : cUnsatisfiable(v0) = v1 % 3.12/1.41 | (4) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (cd(v2) = v1) | ~ (cd(v2) = v0)) % 3.12/1.41 | (5) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (cUnsatisfiable(v2) = v1) | ~ (cUnsatisfiable(v2) = v0)) % 3.12/1.42 | (6) ? [v0] : ? [v1] : cd(v0) = v1 % 3.12/1.42 | (7) ! [v0] : ! [v1] : (v1 = 0 | ~ (xsd_string(v0) = v1) | xsd_integer(v0) = 0) % 3.12/1.42 | (8) ! [v0] : ! [v1] : (v1 = 0 | ~ (xsd_integer(v0) = v1) | xsd_string(v0) = 0) % 3.12/1.42 | (9) ? [v0] : ? [v1] : cowlNothing(v0) = v1 % 3.12/1.42 | (10) ! [v0] : ! [v1] : (v1 = 0 | ~ (cd(v0) = v1) | ? [v2] : ? [v3] : ( ~ (v3 = 0) & rr(v0, v2) = 0 & cc(v2) = v3)) % 3.12/1.42 | (11) ! [v0] : ( ~ (cUnsatisfiable(v0) = 0) | cc(v0) = 0) % 3.12/1.42 | (12) ? [v0] : ? [v1] : xsd_integer(v0) = v1 % 3.12/1.42 | (13) ! [v0] : ! [v1] : (v1 = 0 | ~ (cc(v0) = v1) | ? [v2] : ( ~ (v2 = 0) & cUnsatisfiable(v0) = v2)) % 3.12/1.42 | (14) ! [v0] : ( ~ (xsd_string(v0) = 0) | ? [v1] : ( ~ (v1 = 0) & xsd_integer(v0) = v1)) % 3.12/1.42 | (15) ! [v0] : ( ~ (xsd_integer(v0) = 0) | ? [v1] : ( ~ (v1 = 0) & xsd_string(v0) = v1)) % 3.12/1.42 | (16) ? [v0] : ? [v1] : xsd_string(v0) = v1 % 3.12/1.42 | (17) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (cowlThing(v2) = v1) | ~ (cowlThing(v2) = v0)) % 3.12/1.42 | (18) ! [v0] : ! [v1] : ( ~ (rr(v0, v1) = 0) | ~ (cc(v0) = 0) | cc(v1) = 0) % 3.12/1.42 | (19) ! [v0] : ! [v1] : (v1 = 0 | ~ (cowlThing(v0) = v1)) % 3.12/1.42 | (20) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (rr(v3, v2) = v1) | ~ (rr(v3, v2) = v0)) % 3.12/1.42 | (21) ? [v0] : ? [v1] : cc(v0) = v1 % 3.12/1.42 | (22) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (xsd_string(v2) = v1) | ~ (xsd_string(v2) = v0)) % 3.12/1.42 | (23) ? [v0] : ? [v1] : cowlThing(v0) = v1 % 3.12/1.42 | (24) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (cowlNothing(v2) = v1) | ~ (cowlNothing(v2) = v0)) % 3.12/1.42 | (25) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (cc(v2) = v1) | ~ (cc(v2) = v0)) % 3.12/1.42 | (26) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (xsd_integer(v2) = v1) | ~ (xsd_integer(v2) = v0)) % 3.12/1.42 | (27) cUnsatisfiable(i2003_11_14_17_18_23845) = 0 % 3.12/1.42 | (28) ? [v0] : ? [v1] : ? [v2] : rr(v1, v0) = v2 % 3.12/1.42 | (29) ! [v0] : ( ~ (cUnsatisfiable(v0) = 0) | ? [v1] : ( ~ (v1 = 0) & cd(v0) = v1)) % 3.12/1.42 | (30) ! [v0] : ( ~ (cd(v0) = 0) | ? [v1] : ( ~ (v1 = 0) & cUnsatisfiable(v0) = v1)) % 3.12/1.42 | % 3.12/1.42 | Instantiating formula (11) with i2003_11_14_17_18_23845 and discharging atoms cUnsatisfiable(i2003_11_14_17_18_23845) = 0, yields: % 3.12/1.42 | (31) cc(i2003_11_14_17_18_23845) = 0 % 3.12/1.43 | % 3.12/1.43 | Instantiating formula (29) with i2003_11_14_17_18_23845 and discharging atoms cUnsatisfiable(i2003_11_14_17_18_23845) = 0, yields: % 3.12/1.43 | (32) ? [v0] : ( ~ (v0 = 0) & cd(i2003_11_14_17_18_23845) = v0) % 3.12/1.43 | % 3.12/1.43 | Instantiating (32) with all_28_0_17 yields: % 3.12/1.43 | (33) ~ (all_28_0_17 = 0) & cd(i2003_11_14_17_18_23845) = all_28_0_17 % 3.12/1.43 | % 3.12/1.43 | Applying alpha-rule on (33) yields: % 3.12/1.43 | (34) ~ (all_28_0_17 = 0) % 3.12/1.43 | (35) cd(i2003_11_14_17_18_23845) = all_28_0_17 % 3.12/1.43 | % 3.12/1.43 | Instantiating formula (10) with all_28_0_17, i2003_11_14_17_18_23845 and discharging atoms cd(i2003_11_14_17_18_23845) = all_28_0_17, yields: % 3.12/1.43 | (36) all_28_0_17 = 0 | ? [v0] : ? [v1] : ( ~ (v1 = 0) & rr(i2003_11_14_17_18_23845, v0) = 0 & cc(v0) = v1) % 3.12/1.43 | % 3.12/1.43 +-Applying beta-rule and splitting (36), into two cases. % 3.12/1.43 |-Branch one: % 3.12/1.43 | (37) all_28_0_17 = 0 % 3.12/1.43 | % 3.12/1.43 | Equations (37) can reduce 34 to: % 3.12/1.43 | (38) $false % 3.12/1.43 | % 3.39/1.43 |-The branch is then unsatisfiable % 3.39/1.43 |-Branch two: % 3.39/1.43 | (34) ~ (all_28_0_17 = 0) % 3.39/1.43 | (40) ? [v0] : ? [v1] : ( ~ (v1 = 0) & rr(i2003_11_14_17_18_23845, v0) = 0 & cc(v0) = v1) % 3.39/1.43 | % 3.39/1.43 | Instantiating (40) with all_37_0_18, all_37_1_19 yields: % 3.39/1.43 | (41) ~ (all_37_0_18 = 0) & rr(i2003_11_14_17_18_23845, all_37_1_19) = 0 & cc(all_37_1_19) = all_37_0_18 % 3.39/1.43 | % 3.39/1.43 | Applying alpha-rule on (41) yields: % 3.39/1.43 | (42) ~ (all_37_0_18 = 0) % 3.39/1.43 | (43) rr(i2003_11_14_17_18_23845, all_37_1_19) = 0 % 3.39/1.43 | (44) cc(all_37_1_19) = all_37_0_18 % 3.39/1.43 | % 3.39/1.43 | Instantiating formula (18) with all_37_1_19, i2003_11_14_17_18_23845 and discharging atoms rr(i2003_11_14_17_18_23845, all_37_1_19) = 0, cc(i2003_11_14_17_18_23845) = 0, yields: % 3.39/1.43 | (45) cc(all_37_1_19) = 0 % 3.39/1.43 | % 3.39/1.43 | Instantiating formula (2) with all_37_0_18, all_37_1_19, i2003_11_14_17_18_23845 and discharging atoms cc(all_37_1_19) = all_37_0_18, cc(i2003_11_14_17_18_23845) = 0, yields: % 3.39/1.43 | (46) all_37_0_18 = 0 | ? [v0] : ( ~ (v0 = 0) & rr(i2003_11_14_17_18_23845, all_37_1_19) = v0) % 3.39/1.43 | % 3.39/1.43 | Instantiating formula (13) with all_37_0_18, all_37_1_19 and discharging atoms cc(all_37_1_19) = all_37_0_18, yields: % 3.39/1.43 | (47) all_37_0_18 = 0 | ? [v0] : ( ~ (v0 = 0) & cUnsatisfiable(all_37_1_19) = v0) % 3.39/1.43 | % 3.39/1.43 +-Applying beta-rule and splitting (46), into two cases. % 3.39/1.43 |-Branch one: % 3.39/1.43 | (48) all_37_0_18 = 0 % 3.39/1.43 | % 3.39/1.43 | Equations (48) can reduce 42 to: % 3.39/1.43 | (38) $false % 3.39/1.43 | % 3.39/1.43 |-The branch is then unsatisfiable % 3.39/1.43 |-Branch two: % 3.39/1.43 | (42) ~ (all_37_0_18 = 0) % 3.39/1.43 | (51) ? [v0] : ( ~ (v0 = 0) & rr(i2003_11_14_17_18_23845, all_37_1_19) = v0) % 3.39/1.43 | % 3.39/1.43 +-Applying beta-rule and splitting (47), into two cases. % 3.39/1.43 |-Branch one: % 3.39/1.43 | (48) all_37_0_18 = 0 % 3.39/1.43 | % 3.39/1.43 | Equations (48) can reduce 42 to: % 3.39/1.43 | (38) $false % 3.39/1.43 | % 3.39/1.43 |-The branch is then unsatisfiable % 3.39/1.43 |-Branch two: % 3.39/1.43 | (42) ~ (all_37_0_18 = 0) % 3.39/1.43 | (55) ? [v0] : ( ~ (v0 = 0) & cUnsatisfiable(all_37_1_19) = v0) % 3.39/1.43 | % 3.39/1.43 | Instantiating formula (25) with all_37_1_19, 0, all_37_0_18 and discharging atoms cc(all_37_1_19) = all_37_0_18, cc(all_37_1_19) = 0, yields: % 3.39/1.43 | (48) all_37_0_18 = 0 % 3.39/1.43 | % 3.39/1.43 | Equations (48) can reduce 42 to: % 3.39/1.43 | (38) $false % 3.39/1.43 | % 3.39/1.43 |-The branch is then unsatisfiable % 3.39/1.43 % SZS output end Proof for theBenchmark % 3.39/1.43 % 3.39/1.43 976ms %------------------------------------------------------------------------------