TSTP Solution File: SEU247+1 by ePrincess---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ePrincess---1.0
% Problem : SEU247+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : ePrincess-casc -timeout=%d %s
% Computer : n014.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 : Tue Jul 19 08:48:07 EDT 2022
% Result : Theorem 1.85s 1.17s
% Output : Proof 2.80s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : SEU247+1 : TPTP v8.1.0. Released v3.3.0.
% 0.11/0.12 % Command : ePrincess-casc -timeout=%d %s
% 0.12/0.33 % Computer : n014.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 : Sun Jun 19 18:18:03 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.57 ____ _
% 0.18/0.57 ___ / __ \_____(_)___ ________ __________
% 0.18/0.57 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.18/0.57 / __/ ____/ / / / / / / /__/ __(__ |__ )
% 0.18/0.57 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/
% 0.18/0.57
% 0.18/0.57 A Theorem Prover for First-Order Logic
% 0.18/0.57 (ePrincess v.1.0)
% 0.18/0.57
% 0.18/0.57 (c) Philipp Rümmer, 2009-2015
% 0.18/0.57 (c) Peter Backeman, 2014-2015
% 0.18/0.57 (contributions by Angelo Brillout, Peter Baumgartner)
% 0.18/0.57 Free software under GNU Lesser General Public License (LGPL).
% 0.18/0.57 Bug reports to peter@backeman.se
% 0.18/0.57
% 0.18/0.57 For more information, visit http://user.uu.se/~petba168/breu/
% 0.18/0.57
% 0.18/0.57 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.69/0.62 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 1.33/0.87 Prover 0: Preprocessing ...
% 1.70/1.07 Prover 0: Constructing countermodel ...
% 1.85/1.17 Prover 0: proved (552ms)
% 1.85/1.17
% 1.85/1.17 No countermodel exists, formula is valid
% 1.85/1.17 % SZS status Theorem for theBenchmark
% 1.85/1.17
% 1.85/1.17 Generating proof ... found it (size 13)
% 2.80/1.39
% 2.80/1.39 % SZS output start Proof for theBenchmark
% 2.80/1.39 Assumed formulas after preprocessing and simplification:
% 2.80/1.39 | (0) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ( ~ (v4 = v2) & relation_rng_restriction(v0, v3) = v4 & relation_dom_restriction(v1, v0) = v3 & relation_restriction(v1, v0) = v2 & relation(v1) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ( ~ (relation_rng_restriction(v5, v8) = v9) | ~ (relation_dom_restriction(v7, v6) = v8) | ~ relation(v7) | ? [v10] : (relation_rng_restriction(v5, v7) = v10 & relation_dom_restriction(v10, v6) = v9)) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ( ~ (relation_rng_restriction(v5, v7) = v8) | ~ (relation_dom_restriction(v8, v6) = v9) | ~ relation(v7) | ? [v10] : (relation_rng_restriction(v5, v10) = v9 & relation_dom_restriction(v7, v6) = v10)) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : (v6 = v5 | ~ (relation_rng_restriction(v8, v7) = v6) | ~ (relation_rng_restriction(v8, v7) = v5)) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : (v6 = v5 | ~ (relation_dom_restriction(v8, v7) = v6) | ~ (relation_dom_restriction(v8, v7) = v5)) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : (v6 = v5 | ~ (cartesian_product2(v8, v7) = v6) | ~ (cartesian_product2(v8, v7) = v5)) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : (v6 = v5 | ~ (relation_restriction(v8, v7) = v6) | ~ (relation_restriction(v8, v7) = v5)) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : (v6 = v5 | ~ (set_intersection2(v8, v7) = v6) | ~ (set_intersection2(v8, v7) = v5)) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (relation_rng_restriction(v5, v6) = v7) | ~ (relation_dom_restriction(v7, v5) = v8) | ~ relation(v6) | relation_restriction(v6, v5) = v8) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (cartesian_product2(v6, v6) = v7) | ~ (set_intersection2(v5, v7) = v8) | ~ relation(v5) | relation_restriction(v5, v6) = v8) & ! [v5] : ! [v6] : ! [v7] : ( ~ (relation_rng_restriction(v5, v6) = v7) | ~ relation(v6) | relation(v7)) & ! [v5] : ! [v6] : ! [v7] : ( ~ (relation_dom_restriction(v5, v6) = v7) | ~ relation(v5) | relation(v7)) & ! [v5] : ! [v6] : ! [v7] : ( ~ (relation_restriction(v6, v5) = v7) | ~ relation(v6) | ? [v8] : (relation_rng_restriction(v5, v6) = v8 & relation_dom_restriction(v8, v5) = v7)) & ! [v5] : ! [v6] : ! [v7] : ( ~ (relation_restriction(v5, v6) = v7) | ~ relation(v5) | relation(v7)) & ! [v5] : ! [v6] : ! [v7] : ( ~ (relation_restriction(v5, v6) = v7) | ~ relation(v5) | ? [v8] : (cartesian_product2(v6, v6) = v8 & set_intersection2(v5, v8) = v7)) & ! [v5] : ! [v6] : ! [v7] : ( ~ (set_intersection2(v6, v5) = v7) | set_intersection2(v5, v6) = v7) & ! [v5] : ! [v6] : ! [v7] : ( ~ (set_intersection2(v5, v6) = v7) | set_intersection2(v6, v5) = v7) & ! [v5] : ! [v6] : (v6 = v5 | ~ (set_intersection2(v5, v5) = v6)))
% 2.80/1.42 | Instantiating (0) with all_0_0_0, all_0_1_1, all_0_2_2, all_0_3_3, all_0_4_4 yields:
% 2.80/1.42 | (1) ~ (all_0_0_0 = all_0_2_2) & relation_rng_restriction(all_0_4_4, all_0_1_1) = all_0_0_0 & relation_dom_restriction(all_0_3_3, all_0_4_4) = all_0_1_1 & relation_restriction(all_0_3_3, all_0_4_4) = all_0_2_2 & relation(all_0_3_3) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (relation_rng_restriction(v0, v3) = v4) | ~ (relation_dom_restriction(v2, v1) = v3) | ~ relation(v2) | ? [v5] : (relation_rng_restriction(v0, v2) = v5 & relation_dom_restriction(v5, v1) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (relation_rng_restriction(v0, v2) = v3) | ~ (relation_dom_restriction(v3, v1) = v4) | ~ relation(v2) | ? [v5] : (relation_rng_restriction(v0, v5) = v4 & relation_dom_restriction(v2, v1) = v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (relation_rng_restriction(v3, v2) = v1) | ~ (relation_rng_restriction(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (relation_dom_restriction(v3, v2) = v1) | ~ (relation_dom_restriction(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (cartesian_product2(v3, v2) = v1) | ~ (cartesian_product2(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (relation_restriction(v3, v2) = v1) | ~ (relation_restriction(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (set_intersection2(v3, v2) = v1) | ~ (set_intersection2(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (relation_rng_restriction(v0, v1) = v2) | ~ (relation_dom_restriction(v2, v0) = v3) | ~ relation(v1) | relation_restriction(v1, v0) = v3) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (cartesian_product2(v1, v1) = v2) | ~ (set_intersection2(v0, v2) = v3) | ~ relation(v0) | relation_restriction(v0, v1) = v3) & ! [v0] : ! [v1] : ! [v2] : ( ~ (relation_rng_restriction(v0, v1) = v2) | ~ relation(v1) | relation(v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (relation_dom_restriction(v0, v1) = v2) | ~ relation(v0) | relation(v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (relation_restriction(v1, v0) = v2) | ~ relation(v1) | ? [v3] : (relation_rng_restriction(v0, v1) = v3 & relation_dom_restriction(v3, v0) = v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (relation_restriction(v0, v1) = v2) | ~ relation(v0) | relation(v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (relation_restriction(v0, v1) = v2) | ~ relation(v0) | ? [v3] : (cartesian_product2(v1, v1) = v3 & set_intersection2(v0, v3) = v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (set_intersection2(v1, v0) = v2) | set_intersection2(v0, v1) = v2) & ! [v0] : ! [v1] : ! [v2] : ( ~ (set_intersection2(v0, v1) = v2) | set_intersection2(v1, v0) = v2) & ! [v0] : ! [v1] : (v1 = v0 | ~ (set_intersection2(v0, v0) = v1))
% 2.80/1.43 |
% 2.80/1.43 | Applying alpha-rule on (1) yields:
% 2.80/1.43 | (2) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (relation_rng_restriction(v0, v3) = v4) | ~ (relation_dom_restriction(v2, v1) = v3) | ~ relation(v2) | ? [v5] : (relation_rng_restriction(v0, v2) = v5 & relation_dom_restriction(v5, v1) = v4))
% 2.80/1.43 | (3) ! [v0] : ! [v1] : ! [v2] : ( ~ (set_intersection2(v0, v1) = v2) | set_intersection2(v1, v0) = v2)
% 2.80/1.43 | (4) ! [v0] : ! [v1] : ! [v2] : ( ~ (set_intersection2(v1, v0) = v2) | set_intersection2(v0, v1) = v2)
% 2.80/1.43 | (5) relation_restriction(all_0_3_3, all_0_4_4) = all_0_2_2
% 2.80/1.43 | (6) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (relation_restriction(v3, v2) = v1) | ~ (relation_restriction(v3, v2) = v0))
% 2.80/1.43 | (7) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (relation_dom_restriction(v3, v2) = v1) | ~ (relation_dom_restriction(v3, v2) = v0))
% 2.80/1.44 | (8) ! [v0] : ! [v1] : (v1 = v0 | ~ (set_intersection2(v0, v0) = v1))
% 2.80/1.44 | (9) relation_dom_restriction(all_0_3_3, all_0_4_4) = all_0_1_1
% 2.80/1.44 | (10) relation_rng_restriction(all_0_4_4, all_0_1_1) = all_0_0_0
% 2.80/1.44 | (11) ! [v0] : ! [v1] : ! [v2] : ( ~ (relation_restriction(v0, v1) = v2) | ~ relation(v0) | ? [v3] : (cartesian_product2(v1, v1) = v3 & set_intersection2(v0, v3) = v2))
% 2.80/1.44 | (12) ! [v0] : ! [v1] : ! [v2] : ( ~ (relation_dom_restriction(v0, v1) = v2) | ~ relation(v0) | relation(v2))
% 2.80/1.44 | (13) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (cartesian_product2(v1, v1) = v2) | ~ (set_intersection2(v0, v2) = v3) | ~ relation(v0) | relation_restriction(v0, v1) = v3)
% 2.80/1.44 | (14) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (relation_rng_restriction(v3, v2) = v1) | ~ (relation_rng_restriction(v3, v2) = v0))
% 2.80/1.44 | (15) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (set_intersection2(v3, v2) = v1) | ~ (set_intersection2(v3, v2) = v0))
% 2.80/1.44 | (16) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (relation_rng_restriction(v0, v2) = v3) | ~ (relation_dom_restriction(v3, v1) = v4) | ~ relation(v2) | ? [v5] : (relation_rng_restriction(v0, v5) = v4 & relation_dom_restriction(v2, v1) = v5))
% 2.80/1.44 | (17) ! [v0] : ! [v1] : ! [v2] : ( ~ (relation_restriction(v0, v1) = v2) | ~ relation(v0) | relation(v2))
% 2.80/1.44 | (18) ! [v0] : ! [v1] : ! [v2] : ( ~ (relation_restriction(v1, v0) = v2) | ~ relation(v1) | ? [v3] : (relation_rng_restriction(v0, v1) = v3 & relation_dom_restriction(v3, v0) = v2))
% 2.80/1.44 | (19) ~ (all_0_0_0 = all_0_2_2)
% 2.80/1.44 | (20) ! [v0] : ! [v1] : ! [v2] : ( ~ (relation_rng_restriction(v0, v1) = v2) | ~ relation(v1) | relation(v2))
% 2.80/1.44 | (21) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (cartesian_product2(v3, v2) = v1) | ~ (cartesian_product2(v3, v2) = v0))
% 2.80/1.44 | (22) relation(all_0_3_3)
% 2.80/1.44 | (23) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (relation_rng_restriction(v0, v1) = v2) | ~ (relation_dom_restriction(v2, v0) = v3) | ~ relation(v1) | relation_restriction(v1, v0) = v3)
% 2.80/1.44 |
% 2.80/1.44 | Instantiating formula (2) with all_0_0_0, all_0_1_1, all_0_3_3, all_0_4_4, all_0_4_4 and discharging atoms relation_rng_restriction(all_0_4_4, all_0_1_1) = all_0_0_0, relation_dom_restriction(all_0_3_3, all_0_4_4) = all_0_1_1, relation(all_0_3_3), yields:
% 2.80/1.44 | (24) ? [v0] : (relation_rng_restriction(all_0_4_4, all_0_3_3) = v0 & relation_dom_restriction(v0, all_0_4_4) = all_0_0_0)
% 2.80/1.44 |
% 2.80/1.44 | Instantiating formula (18) with all_0_2_2, all_0_3_3, all_0_4_4 and discharging atoms relation_restriction(all_0_3_3, all_0_4_4) = all_0_2_2, relation(all_0_3_3), yields:
% 2.80/1.44 | (25) ? [v0] : (relation_rng_restriction(all_0_4_4, all_0_3_3) = v0 & relation_dom_restriction(v0, all_0_4_4) = all_0_2_2)
% 2.80/1.44 |
% 2.80/1.44 | Instantiating (25) with all_11_0_6 yields:
% 2.80/1.44 | (26) relation_rng_restriction(all_0_4_4, all_0_3_3) = all_11_0_6 & relation_dom_restriction(all_11_0_6, all_0_4_4) = all_0_2_2
% 2.80/1.44 |
% 2.80/1.44 | Applying alpha-rule on (26) yields:
% 2.80/1.44 | (27) relation_rng_restriction(all_0_4_4, all_0_3_3) = all_11_0_6
% 2.80/1.44 | (28) relation_dom_restriction(all_11_0_6, all_0_4_4) = all_0_2_2
% 2.80/1.44 |
% 2.80/1.44 | Instantiating (24) with all_13_0_7 yields:
% 2.80/1.44 | (29) relation_rng_restriction(all_0_4_4, all_0_3_3) = all_13_0_7 & relation_dom_restriction(all_13_0_7, all_0_4_4) = all_0_0_0
% 2.80/1.44 |
% 2.80/1.44 | Applying alpha-rule on (29) yields:
% 2.80/1.44 | (30) relation_rng_restriction(all_0_4_4, all_0_3_3) = all_13_0_7
% 2.80/1.44 | (31) relation_dom_restriction(all_13_0_7, all_0_4_4) = all_0_0_0
% 2.80/1.44 |
% 2.80/1.44 | Instantiating formula (14) with all_0_4_4, all_0_3_3, all_11_0_6, all_13_0_7 and discharging atoms relation_rng_restriction(all_0_4_4, all_0_3_3) = all_13_0_7, relation_rng_restriction(all_0_4_4, all_0_3_3) = all_11_0_6, yields:
% 2.80/1.44 | (32) all_13_0_7 = all_11_0_6
% 2.80/1.44 |
% 2.80/1.45 | From (32) and (31) follows:
% 2.80/1.45 | (33) relation_dom_restriction(all_11_0_6, all_0_4_4) = all_0_0_0
% 2.80/1.45 |
% 2.80/1.45 | Instantiating formula (7) with all_11_0_6, all_0_4_4, all_0_0_0, all_0_2_2 and discharging atoms relation_dom_restriction(all_11_0_6, all_0_4_4) = all_0_0_0, relation_dom_restriction(all_11_0_6, all_0_4_4) = all_0_2_2, yields:
% 2.80/1.45 | (34) all_0_0_0 = all_0_2_2
% 2.80/1.45 |
% 2.80/1.45 | Equations (34) can reduce 19 to:
% 2.80/1.45 | (35) $false
% 2.80/1.45 |
% 2.80/1.45 |-The branch is then unsatisfiable
% 2.80/1.45 % SZS output end Proof for theBenchmark
% 2.80/1.45
% 2.80/1.45 869ms
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