TSTP Solution File: FLD058-3 by SPASS---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : FLD058-3 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n027.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 02:28:34 EDT 2022
% Result : Unsatisfiable 0.76s 0.97s
% Output : Refutation 0.76s
% 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 : FLD058-3 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.07/0.12 % Command : run_spass %d %s
% 0.12/0.33 % Computer : n027.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Mon Jun 6 14:48:09 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.76/0.97
% 0.76/0.97 SPASS V 3.9
% 0.76/0.97 SPASS beiseite: Proof found.
% 0.76/0.97 % SZS status Theorem
% 0.76/0.97 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.76/0.97 SPASS derived 2794 clauses, backtracked 0 clauses, performed 0 splits and kept 1557 clauses.
% 0.76/0.97 SPASS allocated 77648 KBytes.
% 0.76/0.97 SPASS spent 0:00:00.62 on the problem.
% 0.76/0.97 0:00:00.04 for the input.
% 0.76/0.97 0:00:00.00 for the FLOTTER CNF translation.
% 0.76/0.97 0:00:00.02 for inferences.
% 0.76/0.97 0:00:00.00 for the backtracking.
% 0.76/0.97 0:00:00.53 for the reduction.
% 0.76/0.97
% 0.76/0.97
% 0.76/0.97 Here is a proof with depth 6, length 35 :
% 0.76/0.97 % SZS output start Refutation
% 0.76/0.97 2[0:Inp] || -> defined(b)*.
% 0.76/0.97 3[0:Inp] || -> less_or_equal(additive_identity,a)*r.
% 0.76/0.97 4[0:Inp] || -> less_or_equal(a,b)*l.
% 0.76/0.97 5[0:Inp] || sum__dfg(additive_identity,a,additive_identity)* -> .
% 0.76/0.97 6[0:Inp] || -> sum__dfg(additive_identity,b,additive_identity)*.
% 0.76/0.97 8[0:Inp] || sum__dfg(u,v,w)*+ sum__dfg(x,y,v)* sum__dfg(u,x,z)* -> sum__dfg(z,y,w)*.
% 0.76/0.97 9[0:Inp] defined(u) || -> sum__dfg(additive_identity,u,u)*.
% 0.76/0.97 11[0:Inp] || sum__dfg(u,v,w)*+ -> sum__dfg(v,u,w)*.
% 0.76/0.97 27[0:Inp] || less_or_equal(u,v) less_or_equal(v,u) -> sum__dfg(additive_identity,v,u)*.
% 0.76/0.97 28[0:Inp] || less_or_equal(u,v)* less_or_equal(v,w)* -> less_or_equal(u,w)*.
% 0.76/0.97 30[0:Inp] || less_or_equal(u,v)*+ sum__dfg(v,w,x)* sum__dfg(u,w,y)* -> less_or_equal(y,x)*.
% 0.76/0.97 36[0:Res:6.0,8.0] || sum__dfg(additive_identity,u,v)*+ sum__dfg(b,w,u)* -> sum__dfg(additive_identity,w,v)*.
% 0.76/0.97 37[0:Res:6.0,11.0] || -> sum__dfg(b,additive_identity,additive_identity)*.
% 0.76/0.97 39[0:Res:6.0,30.1] || less_or_equal(additive_identity,u) sum__dfg(u,b,v)* -> less_or_equal(additive_identity,v).
% 0.76/0.97 41[0:Res:6.0,8.1] || sum__dfg(u,additive_identity,v)*+ sum__dfg(u,additive_identity,w)* -> sum__dfg(w,b,v)*.
% 0.76/0.97 43[0:Res:6.0,30.2] || less_or_equal(u,additive_identity) sum__dfg(u,b,v)* -> less_or_equal(v,additive_identity).
% 0.76/0.97 58[0:Res:3.0,27.1] || less_or_equal(a,additive_identity) -> sum__dfg(additive_identity,a,additive_identity)*.
% 0.76/0.97 62[0:MRR:58.1,5.0] || less_or_equal(a,additive_identity)*l -> .
% 0.76/0.97 89[0:OCh:28.1,28.0,3.0,4.0] || -> less_or_equal(additive_identity,b)*r.
% 0.76/0.97 90[0:NCh:28.2,28.0,62.0,4.0] || less_or_equal(b,additive_identity)*l -> .
% 0.76/0.97 98[0:Res:9.1,11.0] defined(u) || -> sum__dfg(u,additive_identity,u)*.
% 0.76/0.97 169[0:Res:9.1,36.0] defined(u) || sum__dfg(b,v,u)* -> sum__dfg(additive_identity,v,u).
% 0.76/0.97 266[0:Res:98.1,169.1] defined(b) defined(b) || -> sum__dfg(additive_identity,additive_identity,b)*.
% 0.76/0.97 270[0:Obv:266.0] defined(b) || -> sum__dfg(additive_identity,additive_identity,b)*.
% 0.76/0.97 271[0:SSi:270.0,2.0] || -> sum__dfg(additive_identity,additive_identity,b)*.
% 0.76/0.97 289[0:Res:271.0,36.0] || sum__dfg(b,u,additive_identity)* -> sum__dfg(additive_identity,u,b).
% 0.76/0.97 493[0:Res:37.0,41.0] || sum__dfg(b,additive_identity,u)*+ -> sum__dfg(u,b,additive_identity)*.
% 0.76/0.97 609[0:Res:98.1,493.0] defined(b) || -> sum__dfg(b,b,additive_identity)*.
% 0.76/0.97 617[0:SSi:609.0,2.0] || -> sum__dfg(b,b,additive_identity)*.
% 0.76/0.97 627[0:Res:617.0,289.0] || -> sum__dfg(additive_identity,b,b)*.
% 0.76/0.97 3058[0:Res:617.0,39.1] || less_or_equal(additive_identity,b)*r -> less_or_equal(additive_identity,additive_identity).
% 0.76/0.97 3098[0:MRR:3058.0,89.0] || -> less_or_equal(additive_identity,additive_identity)*.
% 0.76/0.97 3201[0:Res:627.0,43.1] || less_or_equal(additive_identity,additive_identity) -> less_or_equal(b,additive_identity)*l.
% 0.76/0.97 3228[0:MRR:3201.1,90.0] || less_or_equal(additive_identity,additive_identity)* -> .
% 0.76/0.97 3229[0:MRR:3228.0,3098.0] || -> .
% 0.76/0.97 % SZS output end Refutation
% 0.76/0.97 Formulae used in the proof : b_is_defined less_or_equal_3 less_or_equal_4 not_sum_5 sum_6 associativity_addition_2 existence_of_identity_addition commutativity_addition antisymmetry_of_order_relation transitivity_of_order_relation compatibility_of_order_relation_and_addition
% 0.76/0.97
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