TSTP Solution File: COL002-1 by Matita---1.0
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%------------------------------------------------------------------------------
% File : Matita---1.0
% Problem : COL002-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox2/benchmark %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 : Fri Jul 15 00:35:50 EDT 2022
% Result : Unsatisfiable 0.20s 0.52s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : COL002-1 : TPTP v8.1.0. Released v1.0.0.
% 0.12/0.12 % Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox2/benchmark %s
% 0.13/0.33 % Computer : n018.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 May 31 13:34:43 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.13/0.34 32270: Facts:
% 0.13/0.34 32270: Id : 2, {_}:
% 0.13/0.34 apply (apply (apply s ?3) ?4) ?5
% 0.13/0.34 =?=
% 0.13/0.34 apply (apply ?3 ?5) (apply ?4 ?5)
% 0.13/0.34 [5, 4, 3] by s_definition ?3 ?4 ?5
% 0.13/0.34 32270: Id : 3, {_}:
% 0.13/0.34 apply (apply (apply b ?7) ?8) ?9 =>= apply ?7 (apply ?8 ?9)
% 0.13/0.34 [9, 8, 7] by b_definition ?7 ?8 ?9
% 0.13/0.34 32270: Id : 4, {_}:
% 0.13/0.34 apply (apply (apply c ?11) ?12) ?13 =>= apply (apply ?11 ?13) ?12
% 0.13/0.34 [13, 12, 11] by c_definition ?11 ?12 ?13
% 0.13/0.34 32270: Id : 5, {_}: apply i ?15 =>= ?15 [15] by i_definition ?15
% 0.13/0.34 32270: Goal:
% 0.13/0.34 32270: Id : 1, {_}: ?1 =<= apply fixed_pt ?1 [1] by prove_fixed_point ?1
% 0.20/0.52 Goal subsumed
% 0.20/0.52 Statistics :
% 0.20/0.52 Max weight : 34
% 0.20/0.52 Found proof, 0.182453s
% 0.20/0.52 % SZS status Unsatisfiable for theBenchmark.p
% 0.20/0.52 % SZS output start CNFRefutation for theBenchmark.p
% 0.20/0.52 Id : 5, {_}: apply i ?15 =>= ?15 [15] by i_definition ?15
% 0.20/0.52 Id : 2, {_}: apply (apply (apply s ?3) ?4) ?5 =?= apply (apply ?3 ?5) (apply ?4 ?5) [5, 4, 3] by s_definition ?3 ?4 ?5
% 0.20/0.52 Id : 3, {_}: apply (apply (apply b ?7) ?8) ?9 =>= apply ?7 (apply ?8 ?9) [9, 8, 7] by b_definition ?7 ?8 ?9
% 0.20/0.52 Id : 54, {_}: apply (apply (apply s ?210) i) ?211 =?= apply (apply ?210 ?211) ?211 [211, 210] by Super 2 with 5 at 2,3
% 0.20/0.52 Id : 35, {_}: apply (apply (apply s ?147) i) ?148 =?= apply (apply ?147 ?148) ?148 [148, 147] by Super 2 with 5 at 2,3
% 0.20/0.52 Id : 76, {_}: apply (apply (apply s (apply s ?282)) i) i =>= apply (apply ?282 i) i [282] by Super 54 with 35 at 2
% 0.20/0.52 Id : 79, {_}: apply (apply (apply s ?282) i) (apply i i) =>= apply (apply ?282 i) i [282] by Demod 76 with 2 at 2
% 0.20/0.52 Id : 80, {_}: apply (apply ?282 (apply i i)) (apply i i) =>= apply (apply ?282 i) i [282] by Demod 79 with 35 at 2
% 0.20/0.52 Id : 81, {_}: apply (apply ?282 i) (apply i i) =>= apply (apply ?282 i) i [282] by Demod 80 with 5 at 2,1,2
% 0.20/0.52 Id : 82, {_}: apply (apply ?282 i) i =?= apply (apply ?282 i) i [282] by Demod 81 with 5 at 2,2
% 0.20/0.52 Id : 176, {_}: apply (apply (apply b ?732) i) i =>= apply ?732 (apply i i) [732] by Super 3 with 82 at 2
% 0.20/0.52 Id : 235, {_}: apply ?732 (apply i i) =?= apply ?732 (apply i i) [732] by Demod 176 with 3 at 2
% 0.20/0.52 Id : 236, {_}: apply ?732 (apply i i) =>= apply ?732 i [732] by Demod 235 with 5 at 2,3
% 0.20/0.52 Id : 237, {_}: apply ?732 i =?= apply ?732 i [732] by Demod 236 with 5 at 2,2
% 0.20/0.52 Id : 410, {_}: apply (apply (apply b ?1146) ?1147) i =>= apply ?1146 (apply ?1147 i) [1147, 1146] by Super 3 with 237 at 2
% 0.20/0.52 Id : 505, {_}: apply ?1146 (apply ?1147 i) =?= apply ?1146 (apply ?1147 i) [1147, 1146] by Demod 410 with 3 at 2
% 0.20/0.52 Id : 2077, {_}: apply fixed_pt (apply (apply (apply s (apply b fixed_pt)) i) (apply (apply s (apply b fixed_pt)) i)) =?= apply fixed_pt (apply (apply (apply s (apply b fixed_pt)) i) (apply (apply s (apply b fixed_pt)) i)) [] by Super 2044 with 3 at 2
% 0.20/0.52 Id : 2044, {_}: apply (apply ?4032 (apply ?4033 i)) (apply ?4033 i) =?= apply fixed_pt (apply (apply (apply s ?4032) i) (apply ?4033 i)) [4033, 4032] by Super 1911 with 35 at 2,3
% 0.20/0.52 Id : 1911, {_}: apply ?3864 (apply ?3865 i) =<= apply fixed_pt (apply ?3864 (apply ?3865 i)) [3865, 3864] by Demod 1896 with 3 at 2
% 0.20/0.52 Id : 1896, {_}: apply (apply (apply b ?3864) ?3865) i =>= apply fixed_pt (apply ?3864 (apply ?3865 i)) [3865, 3864] by Super 1716 with 3 at 2,3
% 0.20/0.52 Id : 1716, {_}: apply ?3381 i =<= apply fixed_pt (apply ?3381 i) [3381] by Super 1 with 505 at 3
% 0.20/0.52 Id : 1, {_}: ?1 =<= apply fixed_pt ?1 [1] by prove_fixed_point ?1
% 0.20/0.52 % SZS output end CNFRefutation for theBenchmark.p
% 0.20/0.52 32271: solved /export/starexec/sandbox2/benchmark/theBenchmark.p in 0.183765 using kbo
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