%------------------------------------------------------------------------------ % File : ePrincess---1.0 % Problem : KRS098+1 : TPTP v8.1.0. Released v3.1.0. % Transfm : none % Format : tptp:raw % Command : ePrincess-casc -timeout=%d %s % Computer : n029.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 2.62s 1.26s % Output : Proof 3.98s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.12 % Problem : KRS098+1 : TPTP v8.1.0. Released v3.1.0. % 0.11/0.12 % Command : ePrincess-casc -timeout=%d %s % 0.12/0.33 % Computer : n029.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 20:13:05 EDT 2022 % 0.12/0.33 % CPUTime : % 0.59/0.58 ____ _ % 0.59/0.58 ___ / __ \_____(_)___ ________ __________ % 0.59/0.58 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/ % 0.59/0.58 / __/ ____/ / / / / / / /__/ __(__ |__ ) % 0.59/0.58 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/ % 0.59/0.58 % 0.59/0.58 A Theorem Prover for First-Order Logic % 0.59/0.58 (ePrincess v.1.0) % 0.59/0.58 % 0.59/0.58 (c) Philipp Rümmer, 2009-2015 % 0.59/0.58 (c) Peter Backeman, 2014-2015 % 0.59/0.58 (contributions by Angelo Brillout, Peter Baumgartner) % 0.59/0.58 Free software under GNU Lesser General Public License (LGPL). % 0.59/0.58 Bug reports to peter@backeman.se % 0.59/0.58 % 0.59/0.58 For more information, visit http://user.uu.se/~petba168/breu/ % 0.59/0.58 % 0.59/0.58 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ... % 0.63/0.62 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all % 1.73/0.94 Prover 0: Preprocessing ... % 2.13/1.11 Prover 0: Warning: ignoring some quantifiers % 2.13/1.13 Prover 0: Constructing countermodel ... % 2.62/1.25 Prover 0: proved (631ms) % 2.62/1.26 % 2.62/1.26 No countermodel exists, formula is valid % 2.62/1.26 % SZS status Unsatisfiable for theBenchmark % 2.62/1.26 % 2.62/1.26 Generating proof ... Warning: ignoring some quantifiers % 3.98/1.53 found it (size 29) % 3.98/1.53 % 3.98/1.53 % SZS output start Proof for theBenchmark % 3.98/1.53 Assumed formulas after preprocessing and simplification: % 3.98/1.53 | (0) cUnsatisfiable(i2003_11_14_17_20_25524) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ rt3(v5, v6) | ~ rt2(v3, v4) | ~ rt1(v1, v2) | ~ rr3(v0, v5) | ~ rr2(v0, v3) | ~ rr1(v0, v1) | ~ ce(v6) | ~ cd(v4) | ~ cc(v2) | cUnsatisfiable(v0) | ? [v7] : ? [v8] : (( ~ (v8 = v7) & rtt(v5, v8) & rtt(v5, v7)) | ( ~ (v8 = v7) & rtt(v3, v8) & rtt(v3, v7)) | ( ~ (v8 = v7) & rtt(v1, v8) & rtt(v1, v7)) | ( ~ (v8 = v7) & rr(v0, v8) & rr(v0, v7)))) & ! [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] : ? [v2] : (rt3(v1, v2) & rr3(v0, v1) & ce(v2) & ! [v3] : ! [v4] : (v4 = v3 | ~ rtt(v1, v4) | ~ rtt(v1, v3)))) & ! [v0] : ( ~ cUnsatisfiable(v0) | ? [v1] : ? [v2] : (rt2(v1, v2) & rr2(v0, v1) & cd(v2) & ! [v3] : ! [v4] : (v4 = v3 | ~ rtt(v1, v4) | ~ rtt(v1, v3)))) & ! [v0] : ( ~ cUnsatisfiable(v0) | ? [v1] : ? [v2] : (rt1(v1, v2) & rr1(v0, v1) & cc(v2) & ! [v3] : ! [v4] : (v4 = v3 | ~ rtt(v1, v4) | ~ rtt(v1, v3)))) & ? [v0] : (xsd_string(v0) | xsd_integer(v0)) & ? [v0] : cowlThing(v0) % 3.98/1.55 | Applying alpha-rule on (0) yields: % 3.98/1.55 | (1) ! [v0] : ~ cowlNothing(v0) % 3.98/1.55 | (2) ! [v0] : ! [v1] : ! [v2] : (v2 = v1 | ~ rr(v0, v2) | ~ rr(v0, v1) | ~ cUnsatisfiable(v0)) % 3.98/1.55 | (3) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ rt3(v5, v6) | ~ rt2(v3, v4) | ~ rt1(v1, v2) | ~ rr3(v0, v5) | ~ rr2(v0, v3) | ~ rr1(v0, v1) | ~ ce(v6) | ~ cd(v4) | ~ cc(v2) | cUnsatisfiable(v0) | ? [v7] : ? [v8] : (( ~ (v8 = v7) & rtt(v5, v8) & rtt(v5, v7)) | ( ~ (v8 = v7) & rtt(v3, v8) & rtt(v3, v7)) | ( ~ (v8 = v7) & rtt(v1, v8) & rtt(v1, v7)) | ( ~ (v8 = v7) & rr(v0, v8) & rr(v0, v7)))) % 3.98/1.55 | (4) ! [v0] : ! [v1] : ( ~ rt3(v0, v1) | rtt(v0, v1)) % 3.98/1.55 | (5) ! [v0] : ( ~ xsd_string(v0) | ~ xsd_integer(v0)) % 3.98/1.55 | (6) ! [v0] : ! [v1] : ( ~ rr3(v0, v1) | rr(v0, v1)) % 3.98/1.55 | (7) ! [v0] : ( ~ ca(v0) | cd(v0) | cc(v0)) % 3.98/1.55 | (8) cUnsatisfiable(i2003_11_14_17_20_25524) % 3.98/1.55 | (9) ! [v0] : ( ~ cd(v0) | ~ cc(v0)) % 3.98/1.55 | (10) ! [v0] : ! [v1] : ( ~ rt2(v0, v1) | rtt(v0, v1)) % 3.98/1.55 | (11) ? [v0] : cowlThing(v0) % 3.98/1.55 | (12) ! [v0] : ( ~ cUnsatisfiable(v0) | ? [v1] : ? [v2] : (rt2(v1, v2) & rr2(v0, v1) & cd(v2) & ! [v3] : ! [v4] : (v4 = v3 | ~ rtt(v1, v4) | ~ rtt(v1, v3)))) % 3.98/1.55 | (13) ! [v0] : ( ~ cUnsatisfiable(v0) | ? [v1] : ? [v2] : (rt1(v1, v2) & rr1(v0, v1) & cc(v2) & ! [v3] : ! [v4] : (v4 = v3 | ~ rtt(v1, v4) | ~ rtt(v1, v3)))) % 3.98/1.55 | (14) ! [v0] : ( ~ cc(v0) | ca(v0)) % 3.98/1.55 | (15) ! [v0] : ( ~ ce(v0) | ~ cc(v0)) % 3.98/1.55 | (16) ! [v0] : ( ~ cUnsatisfiable(v0) | ? [v1] : ? [v2] : (rt3(v1, v2) & rr3(v0, v1) & ce(v2) & ! [v3] : ! [v4] : (v4 = v3 | ~ rtt(v1, v4) | ~ rtt(v1, v3)))) % 3.98/1.55 | (17) ? [v0] : (xsd_string(v0) | xsd_integer(v0)) % 3.98/1.55 | (18) ! [v0] : ( ~ ce(v0) | ~ cd(v0)) % 3.98/1.56 | (19) ! [v0] : ! [v1] : ( ~ rr1(v0, v1) | rr(v0, v1)) % 3.98/1.56 | (20) ! [v0] : ! [v1] : ( ~ rr2(v0, v1) | rr(v0, v1)) % 3.98/1.56 | (21) ! [v0] : ! [v1] : ( ~ rt1(v0, v1) | rtt(v0, v1)) % 3.98/1.56 | (22) ! [v0] : ( ~ cd(v0) | ca(v0)) % 3.98/1.56 | % 3.98/1.56 | Instantiating formula (16) with i2003_11_14_17_20_25524 and discharging atoms cUnsatisfiable(i2003_11_14_17_20_25524), yields: % 3.98/1.56 | (23) ? [v0] : ? [v1] : (rt3(v0, v1) & rr3(i2003_11_14_17_20_25524, v0) & ce(v1) & ! [v2] : ! [v3] : (v3 = v2 | ~ rtt(v0, v3) | ~ rtt(v0, v2))) % 3.98/1.56 | % 3.98/1.56 | Instantiating formula (12) with i2003_11_14_17_20_25524 and discharging atoms cUnsatisfiable(i2003_11_14_17_20_25524), yields: % 3.98/1.56 | (24) ? [v0] : ? [v1] : (rt2(v0, v1) & rr2(i2003_11_14_17_20_25524, v0) & cd(v1) & ! [v2] : ! [v3] : (v3 = v2 | ~ rtt(v0, v3) | ~ rtt(v0, v2))) % 3.98/1.56 | % 3.98/1.56 | Instantiating formula (13) with i2003_11_14_17_20_25524 and discharging atoms cUnsatisfiable(i2003_11_14_17_20_25524), yields: % 3.98/1.56 | (25) ? [v0] : ? [v1] : (rt1(v0, v1) & rr1(i2003_11_14_17_20_25524, v0) & cc(v1) & ! [v2] : ! [v3] : (v3 = v2 | ~ rtt(v0, v3) | ~ rtt(v0, v2))) % 3.98/1.56 | % 3.98/1.56 | Instantiating (25) with all_10_0_2, all_10_1_3 yields: % 3.98/1.56 | (26) rt1(all_10_1_3, all_10_0_2) & rr1(i2003_11_14_17_20_25524, all_10_1_3) & cc(all_10_0_2) & ! [v0] : ! [v1] : (v1 = v0 | ~ rtt(all_10_1_3, v1) | ~ rtt(all_10_1_3, v0)) % 3.98/1.56 | % 3.98/1.56 | Applying alpha-rule on (26) yields: % 3.98/1.56 | (27) rt1(all_10_1_3, all_10_0_2) % 3.98/1.56 | (28) rr1(i2003_11_14_17_20_25524, all_10_1_3) % 3.98/1.56 | (29) cc(all_10_0_2) % 3.98/1.56 | (30) ! [v0] : ! [v1] : (v1 = v0 | ~ rtt(all_10_1_3, v1) | ~ rtt(all_10_1_3, v0)) % 3.98/1.56 | % 3.98/1.56 | Instantiating (23) with all_13_0_4, all_13_1_5 yields: % 3.98/1.56 | (31) rt3(all_13_1_5, all_13_0_4) & rr3(i2003_11_14_17_20_25524, all_13_1_5) & ce(all_13_0_4) & ! [v0] : ! [v1] : (v1 = v0 | ~ rtt(all_13_1_5, v1) | ~ rtt(all_13_1_5, v0)) % 3.98/1.56 | % 3.98/1.56 | Applying alpha-rule on (31) yields: % 3.98/1.56 | (32) rt3(all_13_1_5, all_13_0_4) % 3.98/1.56 | (33) rr3(i2003_11_14_17_20_25524, all_13_1_5) % 3.98/1.56 | (34) ce(all_13_0_4) % 3.98/1.56 | (35) ! [v0] : ! [v1] : (v1 = v0 | ~ rtt(all_13_1_5, v1) | ~ rtt(all_13_1_5, v0)) % 3.98/1.56 | % 3.98/1.56 | Instantiating (24) with all_16_0_6, all_16_1_7 yields: % 3.98/1.56 | (36) rt2(all_16_1_7, all_16_0_6) & rr2(i2003_11_14_17_20_25524, all_16_1_7) & cd(all_16_0_6) & ! [v0] : ! [v1] : (v1 = v0 | ~ rtt(all_16_1_7, v1) | ~ rtt(all_16_1_7, v0)) % 3.98/1.56 | % 3.98/1.56 | Applying alpha-rule on (36) yields: % 3.98/1.56 | (37) rt2(all_16_1_7, all_16_0_6) % 3.98/1.56 | (38) rr2(i2003_11_14_17_20_25524, all_16_1_7) % 3.98/1.56 | (39) cd(all_16_0_6) % 3.98/1.56 | (40) ! [v0] : ! [v1] : (v1 = v0 | ~ rtt(all_16_1_7, v1) | ~ rtt(all_16_1_7, v0)) % 3.98/1.56 | % 3.98/1.56 | Instantiating formula (4) with all_13_0_4, all_13_1_5 and discharging atoms rt3(all_13_1_5, all_13_0_4), yields: % 3.98/1.56 | (41) rtt(all_13_1_5, all_13_0_4) % 3.98/1.56 | % 3.98/1.56 | Instantiating formula (10) with all_16_0_6, all_16_1_7 and discharging atoms rt2(all_16_1_7, all_16_0_6), yields: % 3.98/1.56 | (42) rtt(all_16_1_7, all_16_0_6) % 3.98/1.56 | % 3.98/1.56 | Instantiating formula (21) with all_10_0_2, all_10_1_3 and discharging atoms rt1(all_10_1_3, all_10_0_2), yields: % 3.98/1.56 | (43) rtt(all_10_1_3, all_10_0_2) % 3.98/1.56 | % 3.98/1.56 | Instantiating formula (6) with all_13_1_5, i2003_11_14_17_20_25524 and discharging atoms rr3(i2003_11_14_17_20_25524, all_13_1_5), yields: % 3.98/1.56 | (44) rr(i2003_11_14_17_20_25524, all_13_1_5) % 3.98/1.56 | % 3.98/1.56 | Instantiating formula (20) with all_16_1_7, i2003_11_14_17_20_25524 and discharging atoms rr2(i2003_11_14_17_20_25524, all_16_1_7), yields: % 3.98/1.56 | (45) rr(i2003_11_14_17_20_25524, all_16_1_7) % 3.98/1.56 | % 3.98/1.56 | Instantiating formula (19) with all_10_1_3, i2003_11_14_17_20_25524 and discharging atoms rr1(i2003_11_14_17_20_25524, all_10_1_3), yields: % 3.98/1.57 | (46) rr(i2003_11_14_17_20_25524, all_10_1_3) % 3.98/1.57 | % 3.98/1.57 | Instantiating formula (2) with all_13_1_5, all_16_1_7, i2003_11_14_17_20_25524 and discharging atoms rr(i2003_11_14_17_20_25524, all_16_1_7), rr(i2003_11_14_17_20_25524, all_13_1_5), cUnsatisfiable(i2003_11_14_17_20_25524), yields: % 3.98/1.57 | (47) all_16_1_7 = all_13_1_5 % 3.98/1.57 | % 3.98/1.57 | Instantiating formula (2) with all_10_1_3, all_16_1_7, i2003_11_14_17_20_25524 and discharging atoms rr(i2003_11_14_17_20_25524, all_16_1_7), rr(i2003_11_14_17_20_25524, all_10_1_3), cUnsatisfiable(i2003_11_14_17_20_25524), yields: % 3.98/1.57 | (48) all_16_1_7 = all_10_1_3 % 3.98/1.57 | % 3.98/1.57 | Combining equations (47,48) yields a new equation: % 3.98/1.57 | (49) all_13_1_5 = all_10_1_3 % 3.98/1.57 | % 3.98/1.57 | Simplifying 49 yields: % 3.98/1.57 | (50) all_13_1_5 = all_10_1_3 % 3.98/1.57 | % 3.98/1.57 | From (48) and (42) follows: % 3.98/1.57 | (51) rtt(all_10_1_3, all_16_0_6) % 3.98/1.57 | % 3.98/1.57 | From (50) and (41) follows: % 3.98/1.57 | (52) rtt(all_10_1_3, all_13_0_4) % 3.98/1.57 | % 3.98/1.57 | Instantiating formula (30) with all_16_0_6, all_10_0_2 and discharging atoms rtt(all_10_1_3, all_16_0_6), rtt(all_10_1_3, all_10_0_2), yields: % 3.98/1.57 | (53) all_16_0_6 = all_10_0_2 % 3.98/1.57 | % 3.98/1.57 | Instantiating formula (30) with all_13_0_4, all_16_0_6 and discharging atoms rtt(all_10_1_3, all_16_0_6), rtt(all_10_1_3, all_13_0_4), yields: % 3.98/1.57 | (54) all_16_0_6 = all_13_0_4 % 3.98/1.57 | % 3.98/1.57 | Combining equations (53,54) yields a new equation: % 3.98/1.57 | (55) all_13_0_4 = all_10_0_2 % 3.98/1.57 | % 3.98/1.57 | Combining equations (55,54) yields a new equation: % 3.98/1.57 | (53) all_16_0_6 = all_10_0_2 % 3.98/1.57 | % 3.98/1.57 | From (53) and (39) follows: % 3.98/1.57 | (57) cd(all_10_0_2) % 3.98/1.57 | % 3.98/1.57 | Instantiating formula (9) with all_10_0_2 and discharging atoms cd(all_10_0_2), cc(all_10_0_2), yields: % 3.98/1.57 | (58) $false % 3.98/1.57 | % 3.98/1.57 |-The branch is then unsatisfiable % 3.98/1.57 % SZS output end Proof for theBenchmark % 3.98/1.57 % 3.98/1.57 983ms %------------------------------------------------------------------------------