TSTP Solution File: SEU127+2 by SPASS---3.9
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- Process Solution
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% File : SPASS---3.9
% Problem : SEU127+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n010.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 14:34:09 EDT 2022
% Result : Theorem 8.84s 9.01s
% Output : Refutation 8.84s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : SEU127+2 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.13 % Command : run_spass %d %s
% 0.13/0.34 % Computer : n010.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 : Sun Jun 19 13:28:22 EDT 2022
% 0.13/0.35 % CPUTime :
% 8.84/9.01
% 8.84/9.01 SPASS V 3.9
% 8.84/9.01 SPASS beiseite: Proof found.
% 8.84/9.01 % SZS status Theorem
% 8.84/9.01 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 8.84/9.01 SPASS derived 17935 clauses, backtracked 0 clauses, performed 0 splits and kept 5633 clauses.
% 8.84/9.01 SPASS allocated 110153 KBytes.
% 8.84/9.01 SPASS spent 0:00:08.26 on the problem.
% 8.84/9.01 0:00:00.04 for the input.
% 8.84/9.01 0:00:00.05 for the FLOTTER CNF translation.
% 8.84/9.01 0:00:00.19 for inferences.
% 8.84/9.01 0:00:00.00 for the backtracking.
% 8.84/9.01 0:00:07.90 for the reduction.
% 8.84/9.01
% 8.84/9.01
% 8.84/9.01 Here is a proof with depth 3, length 11 :
% 8.84/9.01 % SZS output start Refutation
% 8.84/9.01 11[0:Inp] || subset(set_intersection2(skc5,skc4),skc5)*l -> .
% 8.84/9.01 14[0:Inp] || -> equal(set_intersection2(u,v),set_intersection2(v,u))*.
% 8.84/9.01 25[0:Inp] || -> subset(u,v) in(skf8(v,u),u)*.
% 8.84/9.01 28[0:Inp] || in(skf8(u,v),u)*+ -> subset(w,u)*.
% 8.84/9.01 42[0:Inp] || in(u,v)* equal(v,set_intersection2(w,x))*+ -> in(u,x)*.
% 8.84/9.01 53[0:Rew:14.0,11.0] || subset(set_intersection2(skc4,skc5),skc5)*l -> .
% 8.84/9.01 56[0:Res:28.1,53.0] || in(skf8(skc5,u),skc5)* -> .
% 8.84/9.01 291[0:EqR:42.1] || in(u,set_intersection2(v,w))* -> in(u,w).
% 8.84/9.01 311[0:Res:25.1,291.0] || -> subset(set_intersection2(u,v),w) in(skf8(w,set_intersection2(u,v)),v)*.
% 8.84/9.01 21511[0:Res:311.1,56.0] || -> subset(set_intersection2(u,skc5),skc5)*l.
% 8.84/9.01 21536[0:UnC:21511.0,53.0] || -> .
% 8.84/9.01 % SZS output end Refutation
% 8.84/9.01 Formulae used in the proof : t17_xboole_1 commutativity_k3_xboole_0 d3_tarski d3_xboole_0
% 8.84/9.01
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