TSTP Solution File: ALG211+1 by SOS---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : ALG211+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : sos-script %s
% Computer : n020.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 : Thu Jul 14 18:01:16 EDT 2022
% Result : Theorem 0.41s 0.59s
% Output : Refutation 0.41s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : ALG211+1 : TPTP v8.1.0. Released v3.1.0.
% 0.12/0.14 % Command : sos-script %s
% 0.14/0.35 % Computer : n020.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 : Wed Jun 8 06:42:21 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.14/0.38 ----- Otter 3.2, August 2001 -----
% 0.14/0.38 The process was started by sandbox on n020.cluster.edu,
% 0.14/0.38 Wed Jun 8 06:42:21 2022
% 0.14/0.38 The command was "./sos". The process ID is 20479.
% 0.14/0.38
% 0.14/0.38 set(prolog_style_variables).
% 0.14/0.38 set(auto).
% 0.14/0.38 dependent: set(auto1).
% 0.14/0.38 dependent: set(process_input).
% 0.14/0.38 dependent: clear(print_kept).
% 0.14/0.38 dependent: clear(print_new_demod).
% 0.14/0.38 dependent: clear(print_back_demod).
% 0.14/0.38 dependent: clear(print_back_sub).
% 0.14/0.38 dependent: set(control_memory).
% 0.14/0.38 dependent: assign(max_mem, 12000).
% 0.14/0.38 dependent: assign(pick_given_ratio, 4).
% 0.14/0.38 dependent: assign(stats_level, 1).
% 0.14/0.38 dependent: assign(pick_semantic_ratio, 3).
% 0.14/0.38 dependent: assign(sos_limit, 5000).
% 0.14/0.38 dependent: assign(max_weight, 60).
% 0.14/0.38 clear(print_given).
% 0.14/0.38
% 0.14/0.38 formula_list(usable).
% 0.14/0.38
% 0.14/0.38 SCAN INPUT: prop=0, horn=1, equality=0, symmetry=0, max_lits=4.
% 0.14/0.38
% 0.14/0.38 This is a Horn set without equality. The strategy will
% 0.14/0.38 be hyperresolution, with satellites in sos and nuclei
% 0.14/0.38 in usable.
% 0.14/0.38
% 0.14/0.38 dependent: set(hyper_res).
% 0.14/0.38 dependent: clear(order_hyper).
% 0.14/0.38
% 0.14/0.38 ------------> process usable:
% 0.14/0.38
% 0.14/0.38 ------------> process sos:
% 0.14/0.38
% 0.14/0.38 ======= end of input processing =======
% 0.41/0.59
% 0.41/0.59 Stopped by limit on insertions
% 0.41/0.59
% 0.41/0.59
% 0.41/0.59 Failed to model usable list: disabling FINDER
% 0.41/0.59
% 0.41/0.59
% 0.41/0.59
% 0.41/0.59 -------------- Softie stats --------------
% 0.41/0.59
% 0.41/0.59 UPDATE_STOP: 300
% 0.41/0.59 SFINDER_TIME_LIMIT: 2
% 0.41/0.59 SHORT_CLAUSE_CUTOFF: 4
% 0.41/0.59 number of clauses in intial UL: 9
% 0.41/0.59 number of clauses initially in problem: 11
% 0.41/0.59 percentage of clauses intially in UL: 81
% 0.41/0.59 percentage of distinct symbols occuring in initial UL: 100
% 0.41/0.59 percent of all initial clauses that are short: 100
% 0.41/0.59 absolute distinct symbol count: 11
% 0.41/0.59 distinct predicate count: 5
% 0.41/0.59 distinct function count: 4
% 0.41/0.59 distinct constant count: 2
% 0.41/0.59
% 0.41/0.59 ---------- no more Softie stats ----------
% 0.41/0.59
% 0.41/0.59
% 0.41/0.59
% 0.41/0.59 =========== start of search ===========
% 0.41/0.59
% 0.41/0.59 -------- PROOF --------
% 0.41/0.59 % SZS status Theorem
% 0.41/0.59 % SZS output start Refutation
% 0.41/0.59
% 0.41/0.59 -----> EMPTY CLAUSE at 0.20 sec ----> 36 [hyper,24,9,14] {-} $F.
% 0.41/0.59
% 0.41/0.59 Length of proof is 7. Level of proof is 5.
% 0.41/0.59
% 0.41/0.59 ---------------- PROOF ----------------
% 0.41/0.59 % SZS status Theorem
% 0.41/0.59 % SZS output start Refutation
% 0.41/0.59
% 0.41/0.59 1 [] {+} -basis_of(A,B)|lin_ind_subset(A,B).
% 0.41/0.59 2 [] {+} -basis_of(A,B)|a_subset_of(A,vec_to_class(B)).
% 0.41/0.59 4 [] {+} -lin_ind_subset(A,B)| -basis_of(C,B)|basis_of(union(A,$f1(A,C,B)),B).
% 0.41/0.59 5 [] {+} -a_vector_space(A)|basis_of($f2(A),A).
% 0.41/0.59 6 [] {+} -a_vector_subspace_of(A,B)|a_vector_space(A).
% 0.41/0.59 7 [] {+} -a_vector_subspace_of(A,B)| -a_subset_of(C,vec_to_class(A))| -lin_ind_subset(C,A)|lin_ind_subset(C,B).
% 0.41/0.59 9 [] {+} -basis_of(union(A,B),$c1)| -basis_of(A,$c2).
% 0.41/0.59 10 [] {-} a_vector_subspace_of($c2,$c1).
% 0.41/0.59 11 [] {-} a_vector_space($c1).
% 0.41/0.59 12 [hyper,10,6] {-} a_vector_space($c2).
% 0.41/0.59 13 [hyper,11,5] {-} basis_of($f2($c1),$c1).
% 0.41/0.59 14 [hyper,12,5] {-} basis_of($f2($c2),$c2).
% 0.41/0.59 17 [hyper,14,2] {-} a_subset_of($f2($c2),vec_to_class($c2)).
% 0.41/0.59 18 [hyper,14,1] {-} lin_ind_subset($f2($c2),$c2).
% 0.41/0.59 23 [hyper,17,7,10,18] {-} lin_ind_subset($f2($c2),$c1).
% 0.41/0.59 24 [hyper,23,4,13] {-} basis_of(union($f2($c2),$f1($f2($c2),$f2($c1),$c1)),$c1).
% 0.41/0.59 36 [hyper,24,9,14] {-} $F.
% 0.41/0.59
% 0.41/0.59 % SZS output end Refutation
% 0.41/0.59 ------------ end of proof -------------
% 0.41/0.59
% 0.41/0.59
% 0.41/0.59 Search stopped by max_proofs option.
% 0.41/0.59
% 0.41/0.59
% 0.41/0.59 Search stopped by max_proofs option.
% 0.41/0.59
% 0.41/0.59 ============ end of search ============
% 0.41/0.59
% 0.41/0.59 That finishes the proof of the theorem.
% 0.41/0.59
% 0.41/0.59 Process 20479 finished Wed Jun 8 06:42:21 2022
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