TSTP Solution File: FLD017-1 by SPASS---3.9
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% File : SPASS---3.9
% Problem : FLD017-1 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n017.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 02:28:18 EDT 2022
% Result : Unsatisfiable 0.21s 0.43s
% Output : Refutation 0.21s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : FLD017-1 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.04/0.14 % Command : run_spass %d %s
% 0.14/0.35 % Computer : n017.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Mon Jun 6 16:55:16 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.21/0.43
% 0.21/0.43 SPASS V 3.9
% 0.21/0.43 SPASS beiseite: Proof found.
% 0.21/0.43 % SZS status Theorem
% 0.21/0.43 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.43 SPASS derived 11 clauses, backtracked 0 clauses, performed 0 splits and kept 43 clauses.
% 0.21/0.43 SPASS allocated 75643 KBytes.
% 0.21/0.43 SPASS spent 0:00:00.06 on the problem.
% 0.21/0.43 0:00:00.03 for the input.
% 0.21/0.43 0:00:00.00 for the FLOTTER CNF translation.
% 0.21/0.43 0:00:00.00 for inferences.
% 0.21/0.43 0:00:00.00 for the backtracking.
% 0.21/0.43 0:00:00.00 for the reduction.
% 0.21/0.43
% 0.21/0.43
% 0.21/0.43 Here is a proof with depth 2, length 13 :
% 0.21/0.43 % SZS output start Refutation
% 0.21/0.43 2[0:Inp] || -> defined(b)*.
% 0.21/0.43 5[0:Inp] || -> equalish(a,x__dfg)*l.
% 0.21/0.43 6[0:Inp] || -> equalish(add(a,b),c)*l.
% 0.21/0.43 7[0:Inp] || equalish(add(x__dfg,b),c)*l -> .
% 0.21/0.43 29[0:Inp] || equalish(u,v)* -> equalish(v,u).
% 0.21/0.43 30[0:Inp] || equalish(u,v)* equalish(v,w)* -> equalish(u,w)*.
% 0.21/0.43 31[0:Inp] defined(u) || equalish(v,w) -> equalish(add(v,u),add(w,u))*.
% 0.21/0.43 37[0:Res:5.0,31.1] defined(u) || -> equalish(add(a,u),add(x__dfg,u))*l.
% 0.21/0.43 39[0:Res:6.0,29.0] || -> equalish(c,add(a,b))*r.
% 0.21/0.43 43[0:Res:29.1,7.0] || equalish(c,add(x__dfg,b))*r -> .
% 0.21/0.43 57[0:OCh:30.1,30.0,37.1,39.0] defined(b) || -> equalish(c,add(x__dfg,b))*r.
% 0.21/0.43 58[0:SSi:57.0,2.0] || -> equalish(c,add(x__dfg,b))*r.
% 0.21/0.43 59[0:MRR:58.0,43.0] || -> .
% 0.21/0.43 % SZS output end Refutation
% 0.21/0.43 Formulae used in the proof : b_is_defined a_equals_x_5 add_equals_c_6 add_not_equal_to_c_7 symmetry_of_equality transitivity_of_equality compatibility_of_equality_and_addition
% 0.21/0.43
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