TSTP Solution File: SYN551+1 by SPASS---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SYN551+1 : TPTP v8.1.0. Bugfixed v3.1.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n017.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 : Thu Jul 21 12:22:49 EDT 2022
% Result : Theorem 0.18s 0.45s
% Output : Refutation 0.18s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : SYN551+1 : TPTP v8.1.0. Bugfixed v3.1.0.
% 0.07/0.12 % Command : run_spass %d %s
% 0.13/0.33 % Computer : n017.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 : Mon Jul 11 22:24:34 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.18/0.45
% 0.18/0.45 SPASS V 3.9
% 0.18/0.45 SPASS beiseite: Proof found.
% 0.18/0.45 % SZS status Theorem
% 0.18/0.45 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.45 SPASS derived 45 clauses, backtracked 17 clauses, performed 3 splits and kept 48 clauses.
% 0.18/0.45 SPASS allocated 85280 KBytes.
% 0.18/0.45 SPASS spent 0:00:00.10 on the problem.
% 0.18/0.45 0:00:00.04 for the input.
% 0.18/0.45 0:00:00.04 for the FLOTTER CNF translation.
% 0.18/0.45 0:00:00.00 for inferences.
% 0.18/0.45 0:00:00.00 for the backtracking.
% 0.18/0.45 0:00:00.00 for the reduction.
% 0.18/0.45
% 0.18/0.45
% 0.18/0.45 Here is a proof with depth 5, length 59 :
% 0.18/0.45 % SZS output start Refutation
% 0.18/0.45 1[0:Inp] || -> SkC0 equal(g(f(skc6)),skc6)**.
% 0.18/0.45 2[0:Inp] || SkC0 -> equal(f(g(skc9)),skc9)**.
% 0.18/0.45 3[0:Inp] || equal(skc11,skc10) equal(f(g(u)),u)** -> SkC0.
% 0.18/0.45 4[0:Inp] || SkC0 equal(skc8,skc7) equal(g(f(u)),u)** -> .
% 0.18/0.45 5[0:Inp] || equal(f(g(u)),u)** -> SkC0 equal(f(g(skc11)),skc11)**.
% 0.18/0.45 6[0:Inp] || equal(f(g(u)),u)** -> SkC0 equal(f(g(skc10)),skc10)**.
% 0.18/0.45 7[0:Inp] || SkC0 equal(g(f(u)),u)** -> equal(g(f(skc8)),skc8)**.
% 0.18/0.45 8[0:Inp] || SkC0 equal(g(f(u)),u)** -> equal(g(f(skc7)),skc7)**.
% 0.18/0.45 9[0:Inp] || equal(g(f(u)),u)**+ equal(g(f(v)),v)** -> SkC0 equal(v,u)*.
% 0.18/0.45 10[0:Inp] || SkC0 equal(f(g(u)),u)** equal(f(g(v)),v)** -> equal(v,u)*.
% 0.18/0.45 11[1:Spt:9.2] || -> SkC0*.
% 0.18/0.45 12[1:MRR:2.0,11.0] || -> equal(f(g(skc9)),skc9)**.
% 0.18/0.45 13[1:MRR:4.0,11.0] || equal(skc8,skc7) equal(g(f(u)),u)** -> .
% 0.18/0.45 14[1:MRR:8.0,11.0] || equal(g(f(u)),u)**+ -> equal(g(f(skc7)),skc7)**.
% 0.18/0.45 15[1:MRR:7.0,11.0] || equal(g(f(u)),u)**+ -> equal(g(f(skc8)),skc8)**.
% 0.18/0.45 16[1:MRR:10.0,11.0] || equal(f(g(u)),u)**+ equal(f(g(v)),v)** -> equal(v,u)*.
% 0.18/0.45 18[2:Spt:13.1] || equal(g(f(u)),u)** -> .
% 0.18/0.45 19[2:SpL:12.0,18.0] || equal(g(skc9),g(skc9))* -> .
% 0.18/0.45 20[2:Obv:19.0] || -> .
% 0.18/0.45 21[2:Spt:20.0,13.0] || equal(skc8,skc7)** -> .
% 0.18/0.45 22[1:SpL:12.0,14.0] || equal(g(skc9),g(skc9)) -> equal(g(f(skc7)),skc7)**.
% 0.18/0.45 23[1:Obv:22.0] || -> equal(g(f(skc7)),skc7)**.
% 0.18/0.45 26[1:SpL:23.0,15.0] || equal(skc7,skc7) -> equal(g(f(skc8)),skc8)**.
% 0.18/0.45 27[1:Obv:26.0] || -> equal(g(f(skc8)),skc8)**.
% 0.18/0.45 32[1:SpL:12.0,16.0] || equal(skc9,skc9) equal(f(g(u)),u)** -> equal(u,skc9).
% 0.18/0.45 33[1:Obv:32.0] || equal(f(g(u)),u)** -> equal(u,skc9).
% 0.18/0.45 36[1:SpL:23.0,33.0] || equal(f(skc7),f(skc7))* -> equal(f(skc7),skc9).
% 0.18/0.45 37[1:SpL:27.0,33.0] || equal(f(skc8),f(skc8))* -> equal(f(skc8),skc9).
% 0.18/0.45 39[1:Obv:36.0] || -> equal(f(skc7),skc9)**.
% 0.18/0.45 40[1:Rew:39.0,23.0] || -> equal(g(skc9),skc7)**.
% 0.18/0.45 43[1:Obv:37.0] || -> equal(f(skc8),skc9)**.
% 0.18/0.45 44[1:Rew:43.0,27.0] || -> equal(g(skc9),skc8)**.
% 0.18/0.45 46[1:Rew:40.0,44.0] || -> equal(skc8,skc7)**.
% 0.18/0.45 47[2:MRR:46.0,21.0] || -> .
% 0.18/0.45 48[1:Spt:47.0,9.2,11.0] || SkC0* -> .
% 0.18/0.45 49[1:Spt:47.0,9.0,9.1,9.3] || equal(g(f(u)),u)**+ equal(g(f(v)),v)** -> equal(v,u)*.
% 0.18/0.45 50[1:MRR:1.0,48.0] || -> equal(g(f(skc6)),skc6)**.
% 0.18/0.45 51[1:MRR:3.2,48.0] || equal(skc11,skc10) equal(f(g(u)),u)** -> .
% 0.18/0.45 52[1:MRR:6.1,48.0] || equal(f(g(u)),u)**+ -> equal(f(g(skc10)),skc10)**.
% 0.18/0.45 53[1:MRR:5.1,48.0] || equal(f(g(u)),u)**+ -> equal(f(g(skc11)),skc11)**.
% 0.18/0.45 55[1:SpL:50.0,49.0] || equal(skc6,skc6) equal(g(f(u)),u)** -> equal(u,skc6).
% 0.18/0.45 56[1:Obv:55.0] || equal(g(f(u)),u)** -> equal(u,skc6).
% 0.18/0.45 58[2:Spt:51.1] || equal(f(g(u)),u)** -> .
% 0.18/0.45 59[2:SpL:50.0,58.0] || equal(f(skc6),f(skc6))* -> .
% 0.18/0.45 60[2:Obv:59.0] || -> .
% 0.18/0.45 61[2:Spt:60.0,51.0] || equal(skc11,skc10)** -> .
% 0.18/0.45 62[1:SpL:50.0,52.0] || equal(f(skc6),f(skc6)) -> equal(f(g(skc10)),skc10)**.
% 0.18/0.45 63[1:Obv:62.0] || -> equal(f(g(skc10)),skc10)**.
% 0.18/0.45 65[1:SpL:63.0,56.0] || equal(g(skc10),g(skc10))* -> equal(g(skc10),skc6).
% 0.18/0.45 67[1:Obv:65.0] || -> equal(g(skc10),skc6)**.
% 0.18/0.45 68[1:Rew:67.0,63.0] || -> equal(f(skc6),skc10)**.
% 0.18/0.45 73[1:SpL:67.0,53.0] || equal(f(skc6),skc10) -> equal(f(g(skc11)),skc11)**.
% 0.18/0.45 74[1:Rew:68.0,73.0] || equal(skc10,skc10) -> equal(f(g(skc11)),skc11)**.
% 0.18/0.45 75[1:Obv:74.0] || -> equal(f(g(skc11)),skc11)**.
% 0.18/0.45 80[1:SpL:75.0,56.0] || equal(g(skc11),g(skc11))* -> equal(g(skc11),skc6).
% 0.18/0.45 82[1:Obv:80.0] || -> equal(g(skc11),skc6)**.
% 0.18/0.45 83[1:Rew:82.0,75.0] || -> equal(f(skc6),skc11)**.
% 0.18/0.45 84[1:Rew:68.0,83.0] || -> equal(skc11,skc10)**.
% 0.18/0.45 85[2:MRR:84.0,61.0] || -> .
% 0.18/0.45 % SZS output end Refutation
% 0.18/0.45 Formulae used in the proof : prove_this_cute_thing
% 0.18/0.45
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