TSTP Solution File: SET985+1 by SPASS---3.9
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% File : SPASS---3.9
% Problem : SET985+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n009.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 05:30:14 EDT 2022
% Result : Theorem 0.19s 0.45s
% Output : Refutation 0.19s
% 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 : SET985+1 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.13 % Command : run_spass %d %s
% 0.13/0.34 % Computer : n009.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 06:21:07 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.45
% 0.19/0.45 SPASS V 3.9
% 0.19/0.45 SPASS beiseite: Proof found.
% 0.19/0.45 % SZS status Theorem
% 0.19/0.45 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.45 SPASS derived 61 clauses, backtracked 12 clauses, performed 2 splits and kept 53 clauses.
% 0.19/0.45 SPASS allocated 85118 KBytes.
% 0.19/0.45 SPASS spent 0:00:00.09 on the problem.
% 0.19/0.45 0:00:00.04 for the input.
% 0.19/0.45 0:00:00.02 for the FLOTTER CNF translation.
% 0.19/0.45 0:00:00.00 for inferences.
% 0.19/0.45 0:00:00.00 for the backtracking.
% 0.19/0.45 0:00:00.00 for the reduction.
% 0.19/0.45
% 0.19/0.45
% 0.19/0.45 Here is a proof with depth 6, length 35 :
% 0.19/0.45 % SZS output start Refutation
% 0.19/0.45 1[0:Inp] || -> empty(empty_set)*.
% 0.19/0.45 3[0:Inp] || empty(skc7)* -> .
% 0.19/0.45 6[0:Inp] || -> subset(empty_set,u)*.
% 0.19/0.45 7[0:Inp] || subset(skc8,skc9)* -> .
% 0.19/0.45 8[0:Inp] || equal(u,empty_set) -> equal(cartesian_product2(u,v),empty_set)**.
% 0.19/0.45 9[0:Inp] || equal(u,empty_set) -> equal(cartesian_product2(v,u),empty_set)**.
% 0.19/0.45 10[0:Inp] || equal(cartesian_product2(u,v),empty_set)** -> equal(u,empty_set) equal(v,empty_set).
% 0.19/0.45 11[0:Inp] || -> subset(cartesian_product2(skc8,skc7),cartesian_product2(skc9,skc11))* subset(cartesian_product2(skc7,skc8),cartesian_product2(skc10,skc9)).
% 0.19/0.45 12[0:Inp] || subset(cartesian_product2(u,v),cartesian_product2(w,x))* -> subset(u,w) equal(cartesian_product2(u,v),empty_set).
% 0.19/0.45 13[0:Inp] || subset(cartesian_product2(u,v),cartesian_product2(w,x))* -> subset(v,x) equal(cartesian_product2(u,v),empty_set).
% 0.19/0.45 14[0:Res:13.1,7.0] || subset(cartesian_product2(u,skc8),cartesian_product2(v,skc9))* -> equal(cartesian_product2(u,skc8),empty_set).
% 0.19/0.45 15[0:Res:12.1,7.0] || subset(cartesian_product2(skc8,u),cartesian_product2(skc9,v))* -> equal(cartesian_product2(skc8,u),empty_set).
% 0.19/0.45 39[0:Res:11.0,15.0] || -> subset(cartesian_product2(skc7,skc8),cartesian_product2(skc10,skc9))* equal(cartesian_product2(skc8,skc7),empty_set).
% 0.19/0.45 47[0:Res:39.0,14.0] || -> equal(cartesian_product2(skc8,skc7),empty_set)** equal(cartesian_product2(skc7,skc8),empty_set).
% 0.19/0.45 51[1:Spt:47.0] || -> equal(cartesian_product2(skc8,skc7),empty_set)**.
% 0.19/0.45 58[1:SpL:51.0,10.0] || equal(empty_set,empty_set) -> equal(skc8,empty_set)** equal(skc7,empty_set).
% 0.19/0.45 59[1:Obv:58.0] || -> equal(skc8,empty_set)** equal(skc7,empty_set).
% 0.19/0.45 60[2:Spt:59.0] || -> equal(skc8,empty_set)**.
% 0.19/0.45 61[2:Rew:60.0,7.0] || subset(empty_set,skc9)* -> .
% 0.19/0.45 67[2:MRR:61.0,6.0] || -> .
% 0.19/0.45 72[2:Spt:67.0,59.0,60.0] || equal(skc8,empty_set)** -> .
% 0.19/0.45 73[2:Spt:67.0,59.1] || -> equal(skc7,empty_set)**.
% 0.19/0.45 74[2:Rew:73.0,3.0] || empty(empty_set)* -> .
% 0.19/0.45 75[2:MRR:74.0,1.0] || -> .
% 0.19/0.45 77[1:Spt:75.0,47.0,51.0] || equal(cartesian_product2(skc8,skc7),empty_set)** -> .
% 0.19/0.45 78[1:Spt:75.0,47.1] || -> equal(cartesian_product2(skc7,skc8),empty_set)**.
% 0.19/0.45 83[1:SpL:78.0,10.0] || equal(empty_set,empty_set) -> equal(skc7,empty_set) equal(skc8,empty_set)**.
% 0.19/0.45 84[1:Obv:83.0] || -> equal(skc7,empty_set) equal(skc8,empty_set)**.
% 0.19/0.45 85[1:SpL:9.1,77.0] || equal(skc7,empty_set)** equal(empty_set,empty_set) -> .
% 0.19/0.45 86[1:SpL:8.1,77.0] || equal(skc8,empty_set)** equal(empty_set,empty_set) -> .
% 0.19/0.45 87[1:Obv:85.1] || equal(skc7,empty_set)** -> .
% 0.19/0.45 88[1:MRR:84.0,87.0] || -> equal(skc8,empty_set)**.
% 0.19/0.45 97[1:Obv:86.1] || equal(skc8,empty_set)** -> .
% 0.19/0.45 98[1:Rew:88.0,97.0] || equal(empty_set,empty_set)* -> .
% 0.19/0.45 99[1:Obv:98.0] || -> .
% 0.19/0.45 % SZS output end Refutation
% 0.19/0.45 Formulae used in the proof : fc1_xboole_0 t139_zfmisc_1 t2_xboole_1 t113_zfmisc_1 t138_zfmisc_1
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