TSTP Solution File: FLD061-2 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : FLD061-2 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n021.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 146.72s 146.94s
% Output : Refutation 146.72s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : FLD061-2 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.11/0.13 % Command : run_spass %d %s
% 0.13/0.34 % Computer : n021.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 Jun 6 20:00:20 EDT 2022
% 0.13/0.34 % CPUTime :
% 146.72/146.94
% 146.72/146.94 SPASS V 3.9
% 146.72/146.94 SPASS beiseite: Proof found.
% 146.72/146.94 % SZS status Theorem
% 146.72/146.94 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 146.72/146.94 SPASS derived 31086 clauses, backtracked 0 clauses, performed 1 splits and kept 21238 clauses.
% 146.72/146.94 SPASS allocated 106878 KBytes.
% 146.72/146.94 SPASS spent 0:2:24.06 on the problem.
% 146.72/146.94 0:00:00.04 for the input.
% 146.72/146.94 0:00:00.00 for the FLOTTER CNF translation.
% 146.72/146.94 0:00:00.47 for inferences.
% 146.72/146.94 0:00:00.01 for the backtracking.
% 146.72/146.94 0:2:23.15 for the reduction.
% 146.72/146.94
% 146.72/146.94
% 146.72/146.94 Here is a proof with depth 4, length 33 :
% 146.72/146.94 % SZS output start Refutation
% 146.72/146.94 2[0:Inp] || -> defined(b)*.
% 146.72/146.94 3[0:Inp] || -> defined(c)*.
% 146.72/146.94 6[0:Inp] || -> defined(v__dfg)*.
% 146.72/146.94 7[0:Inp] || -> equalish(add(a,c),u__dfg)*l.
% 146.72/146.94 8[0:Inp] || -> equalish(add(d,b),v__dfg)*l.
% 146.72/146.94 9[0:Inp] || -> less_or_equal(a,b)*l.
% 146.72/146.94 10[0:Inp] || -> less_or_equal(c,d)*l.
% 146.72/146.94 11[0:Inp] || less_or_equal(u__dfg,v__dfg)*l -> .
% 146.72/146.94 15[0:Inp] defined(u) defined(v) || -> equalish(add(v,u),add(u,v))*.
% 146.72/146.94 28[0:Inp] || less_or_equal(u,v)* less_or_equal(v,w)* -> less_or_equal(u,w)*.
% 146.72/146.94 29[0:Inp] defined(u) defined(v) || -> less_or_equal(u,v)* less_or_equal(v,u)*.
% 146.72/146.94 30[0:Inp] defined(u) || less_or_equal(v,w) -> less_or_equal(add(v,u),add(w,u))*.
% 146.72/146.94 33[0:Inp] || equalish(u,v)* -> equalish(v,u).
% 146.72/146.94 37[0:Inp] || equalish(u,v)*+ less_or_equal(u,w)* -> less_or_equal(v,w)*.
% 146.72/146.94 42[0:Res:10.0,30.1] defined(u) || -> less_or_equal(add(c,u),add(d,u))*l.
% 146.72/146.94 46[0:Res:9.0,30.1] defined(u) || -> less_or_equal(add(a,u),add(b,u))*l.
% 146.72/146.94 50[0:Res:8.0,33.0] || -> equalish(v__dfg,add(d,b))*r.
% 146.72/146.94 55[0:Res:7.0,37.1] || less_or_equal(add(a,c),u)* -> less_or_equal(u__dfg,u).
% 146.72/146.94 59[0:Res:55.1,11.0] || less_or_equal(add(a,c),v__dfg)*l -> .
% 146.72/146.94 75[0:NCh:28.2,28.0,46.1,59.0] defined(c) || less_or_equal(add(b,c),v__dfg)*l -> .
% 146.72/146.94 76[0:SSi:75.0,3.0] || less_or_equal(add(b,c),v__dfg)*l -> .
% 146.72/146.94 182[0:Fac:29.2,29.3] defined(u) defined(u) || -> less_or_equal(u,u)*.
% 146.72/146.94 231[0:Obv:182.0] defined(u) || -> less_or_equal(u,u)*.
% 146.72/146.94 621[0:Res:15.2,37.0] defined(u) defined(v) || less_or_equal(add(v,u),w)*+ -> less_or_equal(add(u,v),w)*.
% 146.72/146.94 627[0:Res:50.0,37.0] || less_or_equal(v__dfg,u)*+ -> less_or_equal(add(d,b),u)*.
% 146.72/146.94 6750[0:Res:42.1,621.2] defined(u) defined(u) defined(c) || -> less_or_equal(add(u,c),add(d,u))*.
% 146.72/146.94 6787[0:Obv:6750.0] defined(u) defined(c) || -> less_or_equal(add(u,c),add(d,u))*.
% 146.72/146.94 6788[0:SSi:6787.1,3.0] defined(u) || -> less_or_equal(add(u,c),add(d,u))*.
% 146.72/146.94 31017[0:NCh:28.2,28.0,6788.1,76.0] defined(b) || less_or_equal(add(d,b),v__dfg)*l -> .
% 146.72/146.94 31087[0:SSi:31017.0,2.0] || less_or_equal(add(d,b),v__dfg)*l -> .
% 146.72/146.94 39375[0:Res:231.1,627.0] defined(v__dfg) || -> less_or_equal(add(d,b),v__dfg)*l.
% 146.72/146.94 39517[0:SSi:39375.0,6.0] || -> less_or_equal(add(d,b),v__dfg)*l.
% 146.72/146.94 39518[0:MRR:39517.0,31087.0] || -> .
% 146.72/146.94 % SZS output end Refutation
% 146.72/146.94 Formulae used in the proof : b_is_defined c_is_defined v_is_defined add_equals_u_7 add_equals_v_8 less_or_equal_9 less_or_equal_10 not_less_or_equal_11 commutativity_addition transitivity_of_order_relation totality_of_order_relation compatibility_of_order_relation_and_addition symmetry_of_equality compatibility_of_equality_and_order_relation
% 146.72/146.94
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