TSTP Solution File: ALG201+1 by SOS---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : ALG201+1 : TPTP v8.1.0. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : sos-script %s
% Computer : n032.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 18:01:15 EDT 2022
% Result : Theorem 0.13s 0.42s
% Output : Refutation 0.13s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.08 % Problem : ALG201+1 : TPTP v8.1.0. Released v2.7.0.
% 0.02/0.09 % Command : sos-script %s
% 0.08/0.28 % Computer : n032.cluster.edu
% 0.08/0.28 % Model : x86_64 x86_64
% 0.08/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.28 % Memory : 8042.1875MB
% 0.08/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.28 % CPULimit : 300
% 0.08/0.28 % WCLimit : 600
% 0.08/0.28 % DateTime : Wed Jun 8 11:08:06 EDT 2022
% 0.08/0.28 % CPUTime :
% 0.08/0.29 ----- Otter 3.2, August 2001 -----
% 0.08/0.29 The process was started by sandbox on n032.cluster.edu,
% 0.08/0.29 Wed Jun 8 11:08:06 2022
% 0.08/0.29 The command was "./sos". The process ID is 8809.
% 0.08/0.29
% 0.08/0.29 set(prolog_style_variables).
% 0.08/0.29 set(auto).
% 0.08/0.29 dependent: set(auto1).
% 0.08/0.29 dependent: set(process_input).
% 0.08/0.29 dependent: clear(print_kept).
% 0.08/0.29 dependent: clear(print_new_demod).
% 0.08/0.29 dependent: clear(print_back_demod).
% 0.08/0.29 dependent: clear(print_back_sub).
% 0.08/0.29 dependent: set(control_memory).
% 0.08/0.29 dependent: assign(max_mem, 12000).
% 0.08/0.29 dependent: assign(pick_given_ratio, 4).
% 0.08/0.29 dependent: assign(stats_level, 1).
% 0.08/0.29 dependent: assign(pick_semantic_ratio, 3).
% 0.08/0.29 dependent: assign(sos_limit, 5000).
% 0.08/0.29 dependent: assign(max_weight, 60).
% 0.08/0.29 clear(print_given).
% 0.08/0.29
% 0.08/0.29 formula_list(usable).
% 0.08/0.29
% 0.08/0.29 SCAN INPUT: prop=0, horn=1, equality=1, symmetry=0, max_lits=3.
% 0.08/0.29
% 0.08/0.29 This is a Horn set with equality. The strategy will be
% 0.08/0.29 Knuth-Bendix and hyper_res, with positive clauses in
% 0.08/0.29 sos and nonpositive clauses in usable.
% 0.08/0.29
% 0.08/0.29 dependent: set(knuth_bendix).
% 0.08/0.29 dependent: set(para_from).
% 0.08/0.29 dependent: set(para_into).
% 0.08/0.29 dependent: clear(para_from_right).
% 0.08/0.29 dependent: clear(para_into_right).
% 0.08/0.29 dependent: set(para_from_vars).
% 0.08/0.29 dependent: set(eq_units_both_ways).
% 0.08/0.29 dependent: set(dynamic_demod_all).
% 0.08/0.29 dependent: set(dynamic_demod).
% 0.08/0.29 dependent: set(order_eq).
% 0.08/0.29 dependent: set(back_demod).
% 0.08/0.29 dependent: set(lrpo).
% 0.08/0.29 dependent: set(hyper_res).
% 0.08/0.29 dependent: clear(order_hyper).
% 0.08/0.29
% 0.08/0.29 ------------> process usable:
% 0.08/0.29
% 0.08/0.29 ------------> process sos:
% 0.08/0.29 Following clause subsumed by 13 during input processing: 0 [copy,13,flip.1] {-} A=A.
% 0.08/0.29
% 0.08/0.29 ======= end of input processing =======
% 0.13/0.33
% 0.13/0.33 Model 1 (0.00 seconds, 0 Inserts)
% 0.13/0.33
% 0.13/0.33 Stopped by limit on number of solutions
% 0.13/0.33
% 0.13/0.33
% 0.13/0.33 -------------- Softie stats --------------
% 0.13/0.33
% 0.13/0.33 UPDATE_STOP: 300
% 0.13/0.33 SFINDER_TIME_LIMIT: 2
% 0.13/0.33 SHORT_CLAUSE_CUTOFF: 4
% 0.13/0.33 number of clauses in intial UL: 9
% 0.13/0.33 number of clauses initially in problem: 13
% 0.13/0.33 percentage of clauses intially in UL: 69
% 0.13/0.33 percentage of distinct symbols occuring in initial UL: 87
% 0.13/0.33 percent of all initial clauses that are short: 100
% 0.13/0.33 absolute distinct symbol count: 8
% 0.13/0.33 distinct predicate count: 3
% 0.13/0.33 distinct function count: 4
% 0.13/0.33 distinct constant count: 1
% 0.13/0.33
% 0.13/0.33 ---------- no more Softie stats ----------
% 0.13/0.33
% 0.13/0.33
% 0.13/0.33
% 0.13/0.33 Model 2 (0.00 seconds, 0 Inserts)
% 0.13/0.33
% 0.13/0.33 Stopped by limit on number of solutions
% 0.13/0.33
% 0.13/0.33 =========== start of search ===========
% 0.13/0.42
% 0.13/0.42 -------- PROOF --------
% 0.13/0.42 % SZS status Theorem
% 0.13/0.42 % SZS output start Refutation
% 0.13/0.42
% 0.13/0.42 Model 3 [ 1 0 206 ] (0.00 seconds, 2795 Inserts)
% 0.13/0.42
% 0.13/0.42 Model 4 [ 1 1 148 ] (0.00 seconds, 5393 Inserts)
% 0.13/0.42
% 0.13/0.42 Model 5 [ 1 1 1760 ] (0.00 seconds, 4811 Inserts)
% 0.13/0.42
% 0.13/0.42 Stopped by limit on insertions
% 0.13/0.42
% 0.13/0.42 Model 6 [ 2 1 206 ] (0.00 seconds, 250000 Inserts)
% 0.13/0.42
% 0.13/0.42 -----> EMPTY CLAUSE at 0.10 sec ----> 20 [hyper,18,3,16] {-} $F.
% 0.13/0.42
% 0.13/0.42 Length of proof is 2. Level of proof is 1.
% 0.13/0.42
% 0.13/0.42 ---------------- PROOF ----------------
% 0.13/0.42 % SZS status Theorem
% 0.13/0.42 % SZS output start Refutation
% 0.13/0.42
% 0.13/0.42 3 [] {+} -sorti1(A)|op1(A,A)!=A.
% 0.13/0.42 5 [] {+} -sorti2(A)|sorti1(j(A)).
% 0.13/0.42 7 [] {+} -sorti2(A)| -sorti2(B)|j(op2(A,B))=op1(j(A),j(B)).
% 0.13/0.42 10 [] {+} sorti2($c1).
% 0.13/0.42 12,11 [] {+} op2($c1,$c1)=$c1.
% 0.13/0.42 16 [hyper,10,7,10,demod,12,flip.1] {+} op1(j($c1),j($c1))=j($c1).
% 0.13/0.42 18 [hyper,10,5] {+} sorti1(j($c1)).
% 0.13/0.42 20 [hyper,18,3,16] {-} $F.
% 0.13/0.42
% 0.13/0.42 % SZS output end Refutation
% 0.13/0.42 ------------ end of proof -------------
% 0.13/0.42
% 0.13/0.42
% 0.13/0.42 Search stopped by max_proofs option.
% 0.13/0.42
% 0.13/0.42
% 0.13/0.42 Search stopped by max_proofs option.
% 0.13/0.42
% 0.13/0.42 ============ end of search ============
% 0.13/0.42
% 0.13/0.42 ----------- soft-scott stats ----------
% 0.13/0.42
% 0.13/0.42 true clauses given 0 (0.0%)
% 0.13/0.42 false clauses given 5
% 0.13/0.42
% 0.13/0.42 FALSE TRUE
% 0.13/0.42 3 0 1
% 0.13/0.42 8 1 0
% 0.13/0.42 tot: 1 1 (50.0% true)
% 0.13/0.42
% 0.13/0.42
% 0.13/0.42 Model 6 [ 2 1 206 ] (0.00 seconds, 250000 Inserts)
% 0.13/0.42
% 0.13/0.42 That finishes the proof of the theorem.
% 0.13/0.42
% 0.13/0.42 Process 8809 finished Wed Jun 8 11:08:06 2022
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