%------------------------------------------------------------------------------ % File : ePrincess---1.0 % Problem : KRS116+1 : TPTP v8.1.0. Released v3.1.0. % Transfm : none % Format : tptp:raw % Command : ePrincess-casc -timeout=%d %s % Computer : n026.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 02:56:36 EDT 2022 % Result : Unsatisfiable 2.40s 1.32s % Output : Proof 3.61s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.12 % Problem : KRS116+1 : TPTP v8.1.0. Released v3.1.0. % 0.11/0.12 % Command : ePrincess-casc -timeout=%d %s % 0.13/0.33 % Computer : n026.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 17:50:46 EDT 2022 % 0.13/0.33 % CPUTime : % 0.57/0.59 ____ _ % 0.57/0.59 ___ / __ \_____(_)___ ________ __________ % 0.57/0.59 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/ % 0.57/0.59 / __/ ____/ / / / / / / /__/ __(__ |__ ) % 0.57/0.59 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/ % 0.57/0.59 % 0.57/0.59 A Theorem Prover for First-Order Logic % 0.57/0.59 (ePrincess v.1.0) % 0.57/0.59 % 0.57/0.59 (c) Philipp Rümmer, 2009-2015 % 0.57/0.59 (c) Peter Backeman, 2014-2015 % 0.57/0.59 (contributions by Angelo Brillout, Peter Baumgartner) % 0.57/0.59 Free software under GNU Lesser General Public License (LGPL). % 0.57/0.59 Bug reports to peter@backeman.se % 0.57/0.59 % 0.57/0.59 For more information, visit http://user.uu.se/~petba168/breu/ % 0.57/0.59 % 0.57/0.59 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ... % 0.76/0.64 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all % 1.55/0.94 Prover 0: Preprocessing ... % 1.93/1.10 Prover 0: Warning: ignoring some quantifiers % 1.93/1.12 Prover 0: Constructing countermodel ... % 2.40/1.31 Prover 0: proved (678ms) % 2.40/1.32 % 2.40/1.32 No countermodel exists, formula is valid % 2.40/1.32 % SZS status Unsatisfiable for theBenchmark % 2.40/1.32 % 2.40/1.32 Generating proof ... Warning: ignoring some quantifiers % 3.61/1.58 found it (size 24) % 3.61/1.58 % 3.61/1.58 % SZS output start Proof for theBenchmark % 3.61/1.58 Assumed formulas after preprocessing and simplification: % 3.61/1.58 | (0) cUnsatisfiable(i2003_11_14_17_21_33997) & ! [v0] : ! [v1] : ! [v2] : ( ~ rr(v0, v2) | ~ rp(v0, v1) | ~ cowlThing(v2) | ~ cowlThing(v1) | ca_Ax2(v0) | ? [v3] : ((rr(v0, v3) & ~ cc(v3)) | (rp(v0, v3) & ~ ca_Vx4(v3)) | (rp(v0, v3) & ~ ca_Vx5(v3)) | (rp(v0, v3) & ~ ca_Vx3(v3)))) & ! [v0] : ! [v1] : ! [v2] : ( ~ rp(v1, v2) | ~ rp(v0, v1) | rp(v0, v2)) & ! [v0] : ! [v1] : ( ~ rinvP(v0, v1) | ~ ca_Vx7(v0) | ca_Vx6(v1)) & ! [v0] : ! [v1] : ( ~ rinvP(v0, v1) | rp(v1, v0)) & ! [v0] : ! [v1] : ( ~ rinvS(v0, v1) | ~ ca_Vx6(v0) | caxcomp(v1)) & ! [v0] : ! [v1] : ( ~ rinvS(v0, v1) | rs(v1, v0)) & ! [v0] : ! [v1] : ( ~ rr(v1, v0) | rinvR(v0, v1)) & ! [v0] : ! [v1] : ( ~ rr(v0, v1) | ~ ca_Vx5(v0) | cc(v1)) & ! [v0] : ! [v1] : ( ~ rr(v0, v1) | ~ ca_Ax2(v0) | cc(v1)) & ! [v0] : ! [v1] : ( ~ rr(v0, v1) | ~ cowlThing(v1) | ca_Vx3(v0)) & ! [v0] : ! [v1] : ( ~ rp(v1, v0) | rinvP(v0, v1)) & ! [v0] : ! [v1] : ( ~ rp(v0, v1) | ~ ca_Ax2(v0) | ca_Vx4(v1)) & ! [v0] : ! [v1] : ( ~ rp(v0, v1) | ~ ca_Ax2(v0) | ca_Vx5(v1)) & ! [v0] : ! [v1] : ( ~ rp(v0, v1) | ~ ca_Ax2(v0) | ca_Vx3(v1)) & ! [v0] : ! [v1] : ( ~ rp(v0, v1) | ~ cowlThing(v1) | ca_Vx4(v0)) & ! [v0] : ! [v1] : ( ~ rinvR(v0, v1) | ~ cc(v0) | ca_Vx7(v1)) & ! [v0] : ! [v1] : ( ~ rinvR(v0, v1) | rr(v1, v0)) & ! [v0] : ! [v1] : ( ~ ra_Px1(v0, v1) | ~ ca(v0)) & ! [v0] : ! [v1] : ( ~ ra_Px1(v0, v1) | caxcomp(v0)) & ! [v0] : ! [v1] : ( ~ rs(v1, v0) | rinvS(v0, v1)) & ! [v0] : ( ~ ca_Vx4(v0) | ? [v1] : (rp(v0, v1) & cowlThing(v1))) & ! [v0] : ( ~ ca_Vx3(v0) | ? [v1] : (rr(v0, v1) & cowlThing(v1))) & ! [v0] : ( ~ caxcomp(v0) | ? [v1] : ra_Px1(v0, v1)) & ! [v0] : ( ~ ca_Ax2(v0) | ? [v1] : (rr(v0, v1) & cowlThing(v1))) & ! [v0] : ( ~ ca_Ax2(v0) | ? [v1] : (rp(v0, v1) & cowlThing(v1))) & ! [v0] : ( ~ cUnsatisfiable(v0) | ca(v0)) & ! [v0] : ( ~ cUnsatisfiable(v0) | ? [v1] : (ca_Ax2(v1) & rs(v0, v1))) & ! [v0] : ( ~ xsd_integer(v0) | ~ xsd_string(v0)) & ! [v0] : ~ cowlNothing(v0) & ? [v0] : (ca_Vx6(v0) | ? [v1] : (rinvS(v0, v1) & ~ caxcomp(v1))) & ? [v0] : (ca_Vx5(v0) | ? [v1] : (rr(v0, v1) & ~ cc(v1))) & ? [v0] : (ca_Vx7(v0) | ? [v1] : (rinvP(v0, v1) & ~ ca_Vx6(v1))) & ? [v0] : (cc(v0) | ? [v1] : (rinvR(v0, v1) & ~ ca_Vx7(v1))) & ? [v0] : (ca(v0) | ? [v1] : ra_Px1(v0, v1)) & ? [v0] : (xsd_integer(v0) | xsd_string(v0)) & ? [v0] : cowlThing(v0) % 3.61/1.60 | Applying alpha-rule on (0) yields: % 3.61/1.60 | (1) ! [v0] : ( ~ ca_Vx4(v0) | ? [v1] : (rp(v0, v1) & cowlThing(v1))) % 3.61/1.60 | (2) ! [v0] : ! [v1] : ( ~ rs(v1, v0) | rinvS(v0, v1)) % 3.61/1.60 | (3) ! [v0] : ! [v1] : ( ~ rinvS(v0, v1) | rs(v1, v0)) % 3.61/1.60 | (4) ! [v0] : ! [v1] : ( ~ rinvS(v0, v1) | ~ ca_Vx6(v0) | caxcomp(v1)) % 3.61/1.60 | (5) ! [v0] : ! [v1] : ( ~ rinvR(v0, v1) | rr(v1, v0)) % 3.61/1.60 | (6) ! [v0] : ! [v1] : ( ~ rr(v1, v0) | rinvR(v0, v1)) % 3.61/1.60 | (7) ! [v0] : ! [v1] : ( ~ rr(v0, v1) | ~ ca_Vx5(v0) | cc(v1)) % 3.61/1.60 | (8) ! [v0] : ! [v1] : ( ~ rinvR(v0, v1) | ~ cc(v0) | ca_Vx7(v1)) % 3.61/1.60 | (9) ! [v0] : ! [v1] : ( ~ ra_Px1(v0, v1) | caxcomp(v0)) % 3.61/1.60 | (10) ! [v0] : ! [v1] : ( ~ rp(v1, v0) | rinvP(v0, v1)) % 3.61/1.60 | (11) ! [v0] : ! [v1] : ( ~ rinvP(v0, v1) | rp(v1, v0)) % 3.61/1.60 | (12) ? [v0] : cowlThing(v0) % 3.61/1.60 | (13) ! [v0] : ! [v1] : ( ~ rr(v0, v1) | ~ cowlThing(v1) | ca_Vx3(v0)) % 3.61/1.60 | (14) ! [v0] : ! [v1] : ( ~ rp(v0, v1) | ~ ca_Ax2(v0) | ca_Vx4(v1)) % 3.61/1.60 | (15) ? [v0] : (ca(v0) | ? [v1] : ra_Px1(v0, v1)) % 3.61/1.60 | (16) ! [v0] : ( ~ cUnsatisfiable(v0) | ca(v0)) % 3.61/1.60 | (17) ! [v0] : ( ~ xsd_integer(v0) | ~ xsd_string(v0)) % 3.61/1.60 | (18) ? [v0] : (ca_Vx7(v0) | ? [v1] : (rinvP(v0, v1) & ~ ca_Vx6(v1))) % 3.61/1.60 | (19) ! [v0] : ( ~ ca_Vx3(v0) | ? [v1] : (rr(v0, v1) & cowlThing(v1))) % 3.61/1.60 | (20) ? [v0] : (ca_Vx5(v0) | ? [v1] : (rr(v0, v1) & ~ cc(v1))) % 3.61/1.60 | (21) ! [v0] : ! [v1] : ! [v2] : ( ~ rr(v0, v2) | ~ rp(v0, v1) | ~ cowlThing(v2) | ~ cowlThing(v1) | ca_Ax2(v0) | ? [v3] : ((rr(v0, v3) & ~ cc(v3)) | (rp(v0, v3) & ~ ca_Vx4(v3)) | (rp(v0, v3) & ~ ca_Vx5(v3)) | (rp(v0, v3) & ~ ca_Vx3(v3)))) % 3.61/1.60 | (22) ? [v0] : (cc(v0) | ? [v1] : (rinvR(v0, v1) & ~ ca_Vx7(v1))) % 3.61/1.60 | (23) ! [v0] : ! [v1] : ! [v2] : ( ~ rp(v1, v2) | ~ rp(v0, v1) | rp(v0, v2)) % 3.61/1.60 | (24) ! [v0] : ! [v1] : ( ~ rr(v0, v1) | ~ ca_Ax2(v0) | cc(v1)) % 3.61/1.60 | (25) ! [v0] : ! [v1] : ( ~ rp(v0, v1) | ~ ca_Ax2(v0) | ca_Vx3(v1)) % 3.61/1.60 | (26) ! [v0] : ! [v1] : ( ~ rinvP(v0, v1) | ~ ca_Vx7(v0) | ca_Vx6(v1)) % 3.61/1.60 | (27) ! [v0] : ( ~ ca_Ax2(v0) | ? [v1] : (rp(v0, v1) & cowlThing(v1))) % 3.61/1.60 | (28) ! [v0] : ( ~ cUnsatisfiable(v0) | ? [v1] : (ca_Ax2(v1) & rs(v0, v1))) % 3.61/1.60 | (29) cUnsatisfiable(i2003_11_14_17_21_33997) % 3.61/1.61 | (30) ! [v0] : ~ cowlNothing(v0) % 3.61/1.61 | (31) ? [v0] : (ca_Vx6(v0) | ? [v1] : (rinvS(v0, v1) & ~ caxcomp(v1))) % 3.61/1.61 | (32) ! [v0] : ( ~ ca_Ax2(v0) | ? [v1] : (rr(v0, v1) & cowlThing(v1))) % 3.61/1.61 | (33) ! [v0] : ( ~ caxcomp(v0) | ? [v1] : ra_Px1(v0, v1)) % 3.61/1.61 | (34) ? [v0] : (xsd_integer(v0) | xsd_string(v0)) % 3.61/1.61 | (35) ! [v0] : ! [v1] : ( ~ rp(v0, v1) | ~ cowlThing(v1) | ca_Vx4(v0)) % 3.61/1.61 | (36) ! [v0] : ! [v1] : ( ~ ra_Px1(v0, v1) | ~ ca(v0)) % 3.61/1.61 | (37) ! [v0] : ! [v1] : ( ~ rp(v0, v1) | ~ ca_Ax2(v0) | ca_Vx5(v1)) % 3.61/1.61 | % 3.61/1.61 | Instantiating formula (16) with i2003_11_14_17_21_33997 and discharging atoms cUnsatisfiable(i2003_11_14_17_21_33997), yields: % 3.61/1.61 | (38) ca(i2003_11_14_17_21_33997) % 3.61/1.61 | % 3.61/1.61 | Instantiating formula (28) with i2003_11_14_17_21_33997 and discharging atoms cUnsatisfiable(i2003_11_14_17_21_33997), yields: % 3.61/1.61 | (39) ? [v0] : (ca_Ax2(v0) & rs(i2003_11_14_17_21_33997, v0)) % 3.61/1.61 | % 3.61/1.61 | Instantiating (39) with all_16_0_7 yields: % 3.61/1.61 | (40) ca_Ax2(all_16_0_7) & rs(i2003_11_14_17_21_33997, all_16_0_7) % 3.61/1.61 | % 3.61/1.61 | Applying alpha-rule on (40) yields: % 3.61/1.61 | (41) ca_Ax2(all_16_0_7) % 3.61/1.61 | (42) rs(i2003_11_14_17_21_33997, all_16_0_7) % 3.61/1.61 | % 3.61/1.61 | Instantiating formula (27) with all_16_0_7 and discharging atoms ca_Ax2(all_16_0_7), yields: % 3.61/1.61 | (43) ? [v0] : (rp(all_16_0_7, v0) & cowlThing(v0)) % 3.61/1.61 | % 3.61/1.61 | Instantiating formula (2) with i2003_11_14_17_21_33997, all_16_0_7 and discharging atoms rs(i2003_11_14_17_21_33997, all_16_0_7), yields: % 3.61/1.61 | (44) rinvS(all_16_0_7, i2003_11_14_17_21_33997) % 3.61/1.61 | % 3.61/1.61 | Instantiating (43) with all_24_0_8 yields: % 3.61/1.61 | (45) rp(all_16_0_7, all_24_0_8) & cowlThing(all_24_0_8) % 3.61/1.61 | % 3.61/1.61 | Applying alpha-rule on (45) yields: % 3.61/1.61 | (46) rp(all_16_0_7, all_24_0_8) % 3.61/1.61 | (47) cowlThing(all_24_0_8) % 3.61/1.61 | % 3.61/1.61 | Instantiating formula (37) with all_24_0_8, all_16_0_7 and discharging atoms rp(all_16_0_7, all_24_0_8), ca_Ax2(all_16_0_7), yields: % 3.61/1.61 | (48) ca_Vx5(all_24_0_8) % 3.61/1.61 | % 3.61/1.61 | Instantiating formula (25) with all_24_0_8, all_16_0_7 and discharging atoms rp(all_16_0_7, all_24_0_8), ca_Ax2(all_16_0_7), yields: % 3.61/1.61 | (49) ca_Vx3(all_24_0_8) % 3.61/1.61 | % 3.61/1.61 | Instantiating formula (10) with all_16_0_7, all_24_0_8 and discharging atoms rp(all_16_0_7, all_24_0_8), yields: % 3.61/1.61 | (50) rinvP(all_24_0_8, all_16_0_7) % 3.61/1.61 | % 3.61/1.61 | Instantiating formula (19) with all_24_0_8 and discharging atoms ca_Vx3(all_24_0_8), yields: % 3.61/1.61 | (51) ? [v0] : (rr(all_24_0_8, v0) & cowlThing(v0)) % 3.61/1.61 | % 3.61/1.61 | Instantiating (51) with all_46_0_13 yields: % 3.61/1.61 | (52) rr(all_24_0_8, all_46_0_13) & cowlThing(all_46_0_13) % 3.61/1.61 | % 3.61/1.61 | Applying alpha-rule on (52) yields: % 3.61/1.61 | (53) rr(all_24_0_8, all_46_0_13) % 3.61/1.61 | (54) cowlThing(all_46_0_13) % 3.61/1.61 | % 3.61/1.61 | Instantiating formula (7) with all_46_0_13, all_24_0_8 and discharging atoms rr(all_24_0_8, all_46_0_13), ca_Vx5(all_24_0_8), yields: % 3.61/1.61 | (55) cc(all_46_0_13) % 3.61/1.61 | % 3.61/1.61 | Instantiating formula (6) with all_24_0_8, all_46_0_13 and discharging atoms rr(all_24_0_8, all_46_0_13), yields: % 3.61/1.61 | (56) rinvR(all_46_0_13, all_24_0_8) % 3.61/1.61 | % 3.61/1.61 | Instantiating formula (8) with all_24_0_8, all_46_0_13 and discharging atoms rinvR(all_46_0_13, all_24_0_8), cc(all_46_0_13), yields: % 3.61/1.61 | (57) ca_Vx7(all_24_0_8) % 3.61/1.61 | % 3.61/1.61 | Instantiating formula (26) with all_16_0_7, all_24_0_8 and discharging atoms rinvP(all_24_0_8, all_16_0_7), ca_Vx7(all_24_0_8), yields: % 3.61/1.61 | (58) ca_Vx6(all_16_0_7) % 3.61/1.61 | % 3.61/1.61 | Instantiating formula (4) with i2003_11_14_17_21_33997, all_16_0_7 and discharging atoms rinvS(all_16_0_7, i2003_11_14_17_21_33997), ca_Vx6(all_16_0_7), yields: % 3.61/1.61 | (59) caxcomp(i2003_11_14_17_21_33997) % 3.61/1.61 | % 3.61/1.61 | Instantiating formula (33) with i2003_11_14_17_21_33997 and discharging atoms caxcomp(i2003_11_14_17_21_33997), yields: % 3.61/1.61 | (60) ? [v0] : ra_Px1(i2003_11_14_17_21_33997, v0) % 3.61/1.61 | % 3.61/1.61 | Instantiating (60) with all_86_0_18 yields: % 3.61/1.62 | (61) ra_Px1(i2003_11_14_17_21_33997, all_86_0_18) % 3.61/1.62 | % 3.61/1.62 | Instantiating formula (36) with all_86_0_18, i2003_11_14_17_21_33997 and discharging atoms ra_Px1(i2003_11_14_17_21_33997, all_86_0_18), ca(i2003_11_14_17_21_33997), yields: % 3.61/1.62 | (62) $false % 3.61/1.62 | % 3.61/1.62 |-The branch is then unsatisfiable % 3.61/1.62 % SZS output end Proof for theBenchmark % 3.61/1.62 % 3.61/1.62 1019ms %------------------------------------------------------------------------------