TSTP Solution File: SET893+1 by SPASS---3.9
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% File : SPASS---3.9
% Problem : SET893+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n006.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 05:29:37 EDT 2022
% Result : Theorem 0.20s 0.46s
% Output : Refutation 0.20s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET893+1 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.13 % Command : run_spass %d %s
% 0.13/0.34 % Computer : n006.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Mon Jul 11 02:59:20 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.46
% 0.20/0.46 SPASS V 3.9
% 0.20/0.46 SPASS beiseite: Proof found.
% 0.20/0.46 % SZS status Theorem
% 0.20/0.46 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.46 SPASS derived 86 clauses, backtracked 7 clauses, performed 2 splits and kept 67 clauses.
% 0.20/0.46 SPASS allocated 85216 KBytes.
% 0.20/0.46 SPASS spent 0:00:00.10 on the problem.
% 0.20/0.46 0:00:00.04 for the input.
% 0.20/0.46 0:00:00.03 for the FLOTTER CNF translation.
% 0.20/0.46 0:00:00.00 for inferences.
% 0.20/0.46 0:00:00.00 for the backtracking.
% 0.20/0.46 0:00:00.01 for the reduction.
% 0.20/0.46
% 0.20/0.46
% 0.20/0.46 Here is a proof with depth 3, length 34 :
% 0.20/0.46 % SZS output start Refutation
% 0.20/0.46 7[0:Inp] || in(ordered_pair(u,v),cartesian_product2(w,x))* -> in(u,w).
% 0.20/0.46 8[0:Inp] || in(ordered_pair(u,v),cartesian_product2(w,x))* -> in(v,x).
% 0.20/0.46 9[0:Inp] || -> equal(skc8,skc6) in(ordered_pair(skc6,skc7),cartesian_product2(singleton(skc8),singleton(skc9)))*.
% 0.20/0.46 10[0:Inp] || -> equal(skc9,skc7) in(ordered_pair(skc6,skc7),cartesian_product2(singleton(skc8),singleton(skc9)))*.
% 0.20/0.46 12[0:Inp] || in(u,v)* equal(v,singleton(w))*+ -> equal(u,w)*.
% 0.20/0.46 13[0:Inp] || equal(u,v)* equal(w,singleton(v))*+ -> in(u,w)*.
% 0.20/0.46 15[0:Inp] || in(u,v) in(w,x) -> in(ordered_pair(u,w),cartesian_product2(v,x))*.
% 0.20/0.46 16[0:Inp] || equal(skc9,skc7) equal(skc8,skc6) in(ordered_pair(skc6,skc7),cartesian_product2(singleton(skc8),singleton(skc9)))* -> .
% 0.20/0.46 18[1:Spt:10.0] || -> equal(skc9,skc7)**.
% 0.20/0.46 19[1:Rew:18.0,16.0] || equal(skc7,skc7) equal(skc8,skc6) in(ordered_pair(skc6,skc7),cartesian_product2(singleton(skc8),singleton(skc9)))* -> .
% 0.20/0.46 20[1:Rew:18.0,9.1] || -> equal(skc8,skc6) in(ordered_pair(skc6,skc7),cartesian_product2(singleton(skc8),singleton(skc7)))*.
% 0.20/0.46 21[1:Obv:19.0] || equal(skc8,skc6) in(ordered_pair(skc6,skc7),cartesian_product2(singleton(skc8),singleton(skc9)))* -> .
% 0.20/0.46 22[1:Rew:18.0,21.1] || equal(skc8,skc6) in(ordered_pair(skc6,skc7),cartesian_product2(singleton(skc8),singleton(skc7)))* -> .
% 0.20/0.46 42[2:Spt:20.0] || -> equal(skc8,skc6)**.
% 0.20/0.46 43[2:Rew:42.0,22.0] || equal(skc6,skc6) in(ordered_pair(skc6,skc7),cartesian_product2(singleton(skc8),singleton(skc7)))* -> .
% 0.20/0.46 44[2:Obv:43.0] || in(ordered_pair(skc6,skc7),cartesian_product2(singleton(skc8),singleton(skc7)))* -> .
% 0.20/0.46 45[2:Rew:42.0,44.0] || in(ordered_pair(skc6,skc7),cartesian_product2(singleton(skc6),singleton(skc7)))* -> .
% 0.20/0.46 47[0:EqR:13.1] || equal(u,v) -> in(u,singleton(v))*.
% 0.20/0.46 50[0:EqR:12.1] || in(u,singleton(v))* -> equal(u,v).
% 0.20/0.46 102[2:Res:15.2,45.0] || in(skc6,singleton(skc6)) in(skc7,singleton(skc7))* -> .
% 0.20/0.46 103[2:Res:47.1,102.1] || equal(skc7,skc7) in(skc6,singleton(skc6))* -> .
% 0.20/0.46 104[2:Obv:103.0] || in(skc6,singleton(skc6))* -> .
% 0.20/0.46 105[2:Res:47.1,104.0] || equal(skc6,skc6)* -> .
% 0.20/0.46 106[2:Obv:105.0] || -> .
% 0.20/0.46 107[2:Spt:106.0,20.0,42.0] || equal(skc8,skc6)** -> .
% 0.20/0.46 108[2:Spt:106.0,20.1] || -> in(ordered_pair(skc6,skc7),cartesian_product2(singleton(skc8),singleton(skc7)))*.
% 0.20/0.46 110[2:Res:108.0,7.0] || -> in(skc6,singleton(skc8))*.
% 0.20/0.46 113[2:Res:110.0,50.0] || -> equal(skc8,skc6)**.
% 0.20/0.46 114[2:MRR:113.0,107.0] || -> .
% 0.20/0.46 115[1:Spt:114.0,10.0,18.0] || equal(skc9,skc7)** -> .
% 0.20/0.46 116[1:Spt:114.0,10.1] || -> in(ordered_pair(skc6,skc7),cartesian_product2(singleton(skc8),singleton(skc9)))*.
% 0.20/0.46 119[1:Res:116.0,8.0] || -> in(skc7,singleton(skc9))*.
% 0.20/0.46 128[1:Res:119.0,50.0] || -> equal(skc9,skc7)**.
% 0.20/0.46 129[1:MRR:128.0,115.0] || -> .
% 0.20/0.46 % SZS output end Refutation
% 0.20/0.46 Formulae used in the proof : l55_zfmisc_1 t34_zfmisc_1 d1_tarski antisymmetry_r2_hidden
% 0.20/0.46
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