TSTP Solution File: FLD060-4 by SPASS---3.9
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- Process Solution
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% File : SPASS---3.9
% Problem : FLD060-4 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n023.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 : Sat Jul 16 02:28:35 EDT 2022
% Result : Unsatisfiable 25.42s 25.59s
% Output : Refutation 25.42s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : FLD060-4 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.11/0.12 % Command : run_spass %d %s
% 0.13/0.33 % Computer : n023.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 Jun 6 21:00:54 EDT 2022
% 0.19/0.33 % CPUTime :
% 25.42/25.59
% 25.42/25.59 SPASS V 3.9
% 25.42/25.59 SPASS beiseite: Proof found.
% 25.42/25.59 % SZS status Theorem
% 25.42/25.59 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 25.42/25.59 SPASS derived 18243 clauses, backtracked 1701 clauses, performed 18 splits and kept 12553 clauses.
% 25.42/25.59 SPASS allocated 93608 KBytes.
% 25.42/25.59 SPASS spent 0:0:24.57 on the problem.
% 25.42/25.59 0:00:00.04 for the input.
% 25.42/25.59 0:00:00.00 for the FLOTTER CNF translation.
% 25.42/25.59 0:00:00.17 for inferences.
% 25.42/25.59 0:00:00.95 for the backtracking.
% 25.42/25.59 0:0:23.22 for the reduction.
% 25.42/25.59
% 25.42/25.59
% 25.42/25.59 Here is a proof with depth 3, length 21 :
% 25.42/25.59 % SZS output start Refutation
% 25.42/25.59 1[0:Inp] || -> defined(a)*.
% 25.42/25.59 2[0:Inp] || -> defined(b)*.
% 25.42/25.59 5[0:Inp] || -> less_or_equal(a,b)*l.
% 25.42/25.59 6[0:Inp] || -> sum__dfg(a,a,u__dfg)*.
% 25.42/25.59 7[0:Inp] || -> sum__dfg(b,b,v__dfg)*.
% 25.42/25.59 8[0:Inp] || less_or_equal(u__dfg,v__dfg)*l -> .
% 25.42/25.59 13[0:Inp] || sum__dfg(u,v,w)*+ -> sum__dfg(v,u,w)*.
% 25.42/25.59 27[0:Inp] defined(u) defined(v) || -> sum__dfg(v,u,add(v,u))*.
% 25.42/25.59 30[0:Inp] || less_or_equal(u,v)* less_or_equal(v,w)* -> less_or_equal(u,w)*.
% 25.42/25.59 32[0:Inp] || less_or_equal(u,v)*+ sum__dfg(v,w,x)* sum__dfg(u,w,y)* -> less_or_equal(y,x)*.
% 25.42/25.59 45[0:Res:7.0,32.2] || less_or_equal(u,b) sum__dfg(u,b,v)* -> less_or_equal(v,v__dfg).
% 25.42/25.59 53[0:Res:6.0,32.1] || less_or_equal(a,u) sum__dfg(u,a,v)* -> less_or_equal(u__dfg,v).
% 25.42/25.59 118[0:Res:27.2,13.0] defined(u) defined(v) || -> sum__dfg(u,v,add(v,u))*.
% 25.42/25.59 2604[0:Res:27.2,53.1] defined(a) defined(u) || less_or_equal(a,u) -> less_or_equal(u__dfg,add(u,a))*r.
% 25.42/25.59 2621[0:SSi:2604.0,1.0] defined(u) || less_or_equal(a,u) -> less_or_equal(u__dfg,add(u,a))*r.
% 25.42/25.59 2664[0:Res:118.2,45.1] defined(u) defined(b) || less_or_equal(u,b) -> less_or_equal(add(b,u),v__dfg)*l.
% 25.42/25.59 2682[0:SSi:2664.1,2.0] defined(u) || less_or_equal(u,b) -> less_or_equal(add(b,u),v__dfg)*l.
% 25.42/25.59 24278[0:OCh:30.1,30.0,2682.2,2621.2] defined(a) defined(b) || less_or_equal(a,b)*l less_or_equal(a,b)*l -> less_or_equal(u__dfg,v__dfg).
% 25.42/25.59 24300[0:Obv:24278.2] defined(a) defined(b) || less_or_equal(a,b)*l -> less_or_equal(u__dfg,v__dfg).
% 25.42/25.59 24301[0:SSi:24300.1,24300.0,2.0,1.0] || less_or_equal(a,b)*l -> less_or_equal(u__dfg,v__dfg).
% 25.42/25.59 24302[0:MRR:24301.0,24301.1,5.0,8.0] || -> .
% 25.42/25.59 % SZS output end Refutation
% 25.42/25.59 Formulae used in the proof : a_is_defined b_is_defined less_or_equal_5 sum_6 sum_7 not_less_or_equal_8 commutativity_addition totality_of_addition transitivity_of_order_relation compatibility_of_order_relation_and_addition
% 25.42/25.59
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