TSTP Solution File: LCL182-3 by SOS---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : LCL182-3 : TPTP v8.1.0. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : sos-script %s
% Computer : n007.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 : Sun Jul 17 14:28:25 EDT 2022
% Result : Unsatisfiable 9.32s 9.56s
% Output : Refutation 9.32s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LCL182-3 : TPTP v8.1.0. Released v2.3.0.
% 0.12/0.12 % Command : sos-script %s
% 0.12/0.33 % Computer : n007.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 Jul 4 09:09:56 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.35 ----- Otter 3.2, August 2001 -----
% 0.19/0.35 The process was started by sandbox2 on n007.cluster.edu,
% 0.19/0.35 Mon Jul 4 09:09:56 2022
% 0.19/0.35 The command was "./sos". The process ID is 12197.
% 0.19/0.35
% 0.19/0.35 set(prolog_style_variables).
% 0.19/0.35 set(auto).
% 0.19/0.35 dependent: set(auto1).
% 0.19/0.35 dependent: set(process_input).
% 0.19/0.35 dependent: clear(print_kept).
% 0.19/0.35 dependent: clear(print_new_demod).
% 0.19/0.35 dependent: clear(print_back_demod).
% 0.19/0.35 dependent: clear(print_back_sub).
% 0.19/0.35 dependent: set(control_memory).
% 0.19/0.35 dependent: assign(max_mem, 12000).
% 0.19/0.35 dependent: assign(pick_given_ratio, 4).
% 0.19/0.35 dependent: assign(stats_level, 1).
% 0.19/0.35 dependent: assign(pick_semantic_ratio, 3).
% 0.19/0.35 dependent: assign(sos_limit, 5000).
% 0.19/0.35 dependent: assign(max_weight, 60).
% 0.19/0.35 clear(print_given).
% 0.19/0.35
% 0.19/0.35 list(usable).
% 0.19/0.35
% 0.19/0.35 SCAN INPUT: prop=0, horn=1, equality=1, symmetry=0, max_lits=3.
% 0.19/0.35
% 0.19/0.35 This is a Horn set with equality. The strategy will be
% 0.19/0.35 Knuth-Bendix and hyper_res, with positive clauses in
% 0.19/0.35 sos and nonpositive clauses in usable.
% 0.19/0.35
% 0.19/0.35 dependent: set(knuth_bendix).
% 0.19/0.35 dependent: set(para_from).
% 0.19/0.35 dependent: set(para_into).
% 0.19/0.35 dependent: clear(para_from_right).
% 0.19/0.35 dependent: clear(para_into_right).
% 0.19/0.35 dependent: set(para_from_vars).
% 0.19/0.35 dependent: set(eq_units_both_ways).
% 0.19/0.35 dependent: set(dynamic_demod_all).
% 0.19/0.35 dependent: set(dynamic_demod).
% 0.19/0.35 dependent: set(order_eq).
% 0.19/0.35 dependent: set(back_demod).
% 0.19/0.35 dependent: set(lrpo).
% 0.19/0.35 dependent: set(hyper_res).
% 0.19/0.35 dependent: clear(order_hyper).
% 0.19/0.35
% 0.19/0.35 ------------> process usable:
% 0.19/0.35
% 0.19/0.35 ------------> process sos:
% 0.19/0.35 Following clause subsumed by 12 during input processing: 0 [copy,12,flip.1] {-} A=A.
% 0.19/0.35
% 0.19/0.35 ======= end of input processing =======
% 0.19/0.39
% 0.19/0.39 Model 1 (0.00 seconds, 0 Inserts)
% 0.19/0.39
% 0.19/0.39 Stopped by limit on number of solutions
% 0.19/0.39
% 0.19/0.39
% 0.19/0.39 -------------- Softie stats --------------
% 0.19/0.39
% 0.19/0.39 UPDATE_STOP: 300
% 0.19/0.39 SFINDER_TIME_LIMIT: 2
% 0.19/0.39 SHORT_CLAUSE_CUTOFF: 4
% 0.19/0.39 number of clauses in intial UL: 3
% 0.19/0.39 number of clauses initially in problem: 11
% 0.19/0.39 percentage of clauses intially in UL: 27
% 0.19/0.39 percentage of distinct symbols occuring in initial UL: 75
% 0.19/0.39 percent of all initial clauses that are short: 100
% 0.19/0.39 absolute distinct symbol count: 8
% 0.19/0.39 distinct predicate count: 3
% 0.19/0.39 distinct function count: 3
% 0.19/0.39 distinct constant count: 2
% 0.19/0.39
% 0.19/0.39 ---------- no more Softie stats ----------
% 0.19/0.39
% 0.19/0.39
% 0.19/0.39
% 0.19/0.39 Model 2 (0.00 seconds, 0 Inserts)
% 0.19/0.39
% 0.19/0.39 Stopped by limit on number of solutions
% 0.19/0.39
% 0.19/0.39 =========== start of search ===========
% 7.52/7.72
% 7.52/7.72
% 7.52/7.72 Changing weight limit from 60 to 28.
% 7.52/7.72
% 7.52/7.72 Model 3 (0.00 seconds, 0 Inserts)
% 7.52/7.72
% 7.52/7.72 Stopped by limit on number of solutions
% 7.52/7.72
% 7.52/7.72 Model 4 (0.00 seconds, 0 Inserts)
% 7.52/7.72
% 7.52/7.72 Stopped by limit on number of solutions
% 7.52/7.72
% 7.52/7.72 Stopped by limit on insertions
% 7.52/7.72
% 7.52/7.72 Model 5 [ 1 1 4423 ] (0.00 seconds, 250000 Inserts)
% 7.52/7.72
% 7.52/7.72 Stopped by limit on insertions
% 7.52/7.72
% 7.52/7.72 Model 6 [ 21 1 6065 ] (0.00 seconds, 250000 Inserts)
% 7.52/7.72
% 7.52/7.72 Stopped by limit on insertions
% 7.52/7.72
% 7.52/7.72 Stopped by limit on insertions
% 7.52/7.72
% 7.52/7.72 Model 7 [ 1 0 795 ] (0.00 seconds, 250000 Inserts)
% 7.52/7.72
% 7.52/7.72 Stopped by limit on insertions
% 7.52/7.72
% 7.52/7.72 Model 8 [ 1 0 759 ] (0.00 seconds, 250000 Inserts)
% 7.52/7.72
% 7.52/7.72 Stopped by limit on insertions
% 7.52/7.72
% 7.52/7.72 Model 9 [ 1 0 353 ] (0.00 seconds, 250000 Inserts)
% 7.52/7.72
% 7.52/7.72 Stopped by limit on insertions
% 7.52/7.72
% 7.52/7.72 Model 10 [ 1 1 11149 ] (0.00 seconds, 250000 Inserts)
% 7.52/7.72
% 7.52/7.72 Stopped by limit on insertions
% 7.52/7.72
% 7.52/7.72 Model 11 [ 6 1 1432 ] (0.00 seconds, 250000 Inserts)
% 7.52/7.72
% 7.52/7.72 Stopped by limit on insertions
% 7.52/7.72
% 7.52/7.72 Model 12 [ 2 0 3518 ] (0.00 seconds, 250000 Inserts)
% 7.52/7.72
% 7.52/7.72 Stopped by limit on insertions
% 7.52/7.72
% 7.52/7.72 Model 13 [ 2 8 67448 ] (0.00 seconds, 250000 Inserts)
% 7.52/7.72
% 7.52/7.72 Stopped by limit on insertions
% 7.52/7.72
% 7.52/7.72 Model 14 [ 38 1 1108 ] (0.00 seconds, 250000 Inserts)
% 7.52/7.72
% 7.52/7.72 Stopped by limit on insertions
% 7.52/7.72
% 7.52/7.72 Model 15 [ 2 0 614 ] (0.00 seconds, 250000 Inserts)
% 7.52/7.72
% 7.52/7.72 Stopped by limit on insertions
% 7.52/7.72
% 7.52/7.72 Model 16 [ 39 8 33426 ] (0.00 seconds, 250000 Inserts)
% 7.52/7.72
% 7.52/7.72 Stopped by limit on insertions
% 7.52/7.72
% 7.52/7.72 Model 17 [ 2 1 1325 ] (0.00 seconds, 250000 Inserts)
% 7.52/7.72
% 7.52/7.72 Stopped by limit on insertions
% 7.52/7.72
% 7.52/7.72 Model 18 [ 2 1 3543 ] (0.00 seconds, 250000 Inserts)
% 7.52/7.72
% 7.52/7.72 Stopped by limit on insertions
% 7.52/7.72
% 7.52/7.72 Model 19 [ 49 0 136 ] (0.00 seconds, 250000 Inserts)
% 7.52/7.72
% 7.52/7.72 Stopped by limit on insertions
% 7.52/7.72
% 7.52/7.72 Model 20 [ 3 32 179358 ] (0.00 seconds, 250000 Inserts)
% 7.52/7.72
% 7.52/7.72 Resetting weight limit to 28 after 300 givens.
% 7.52/7.72
% 7.57/7.75
% 7.57/7.75
% 7.57/7.75 Changing weight limit from 28 to 26.
% 7.57/7.75
% 7.57/7.75 Resetting weight limit to 26 after 305 givens.
% 7.57/7.75
% 7.71/7.96
% 7.71/7.96
% 7.71/7.96 Changing weight limit from 26 to 18.
% 7.71/7.96
% 7.71/7.96 Resetting weight limit to 18 after 310 givens.
% 7.71/7.96
% 7.80/7.98
% 7.80/7.98
% 7.80/7.98 Changing weight limit from 18 to 17.
% 7.80/7.98
% 7.80/7.98 Resetting weight limit to 17 after 315 givens.
% 7.80/7.98
% 7.83/8.00
% 7.83/8.00
% 7.83/8.00 Changing weight limit from 17 to 16.
% 7.83/8.00
% 7.83/8.00 Resetting weight limit to 16 after 325 givens.
% 7.83/8.00
% 8.02/8.25
% 8.02/8.25
% 8.02/8.25 Changing weight limit from 16 to 15.
% 8.02/8.25
% 8.02/8.25 Resetting weight limit to 15 after 370 givens.
% 8.02/8.25
% 8.16/8.41
% 8.16/8.41
% 8.16/8.41 Changing weight limit from 15 to 14.
% 8.16/8.41
% 8.16/8.41 Resetting weight limit to 14 after 410 givens.
% 8.16/8.41
% 9.32/9.56
% 9.32/9.56 -------- PROOF --------
% 9.32/9.56 % SZS status Unsatisfiable
% 9.32/9.56 % SZS output start Refutation
% 9.32/9.56
% 9.32/9.56 Stopped by limit on insertions
% 9.32/9.56
% 9.32/9.56 Model 21 [ 3 1 74 ] (0.00 seconds, 250000 Inserts)
% 9.32/9.56
% 9.32/9.56 Modelling stopped after 300 given clauses and 0.00 seconds
% 9.32/9.56
% 9.32/9.56
% 9.32/9.56 ----> UNIT CONFLICT at 9.15 sec ----> 11749 [binary,11748.1,3.1] {+} $F.
% 9.32/9.56
% 9.32/9.56 Length of proof is 16. Level of proof is 8.
% 9.32/9.56
% 9.32/9.56 ---------------- PROOF ----------------
% 9.32/9.56 % SZS status Unsatisfiable
% 9.32/9.56 % SZS output start Refutation
% 9.32/9.56
% 9.32/9.56 1 [] {+} theorem(A)| -axiom(A).
% 9.32/9.56 2 [] {+} theorem(A)| -theorem(implies(B,A))| -theorem(B).
% 9.32/9.56 3 [] {+} -theorem(implies(implies(p,q),implies(not(q),not(p)))).
% 9.32/9.56 4 [] {+} axiom(implies(or(A,A),A)).
% 9.32/9.56 5 [] {+} axiom(implies(A,or(B,A))).
% 9.32/9.56 6 [] {+} axiom(implies(or(A,B),or(B,A))).
% 9.32/9.56 8 [] {-} axiom(implies(implies(A,B),implies(or(C,A),or(C,B)))).
% 9.32/9.56 9 [] {-} implies(A,B)=or(not(A),B).
% 9.32/9.56 11,10 [copy,9,flip.1] {+} or(not(A),B)=implies(A,B).
% 9.32/9.56 13 [hyper,4,1] {+} theorem(implies(or(A,A),A)).
% 9.32/9.56 14 [hyper,5,1] {-} theorem(implies(A,or(B,A))).
% 9.32/9.56 17 [para_from,10.1.1,6.1.1.2] {-} axiom(implies(or(A,not(B)),implies(B,A))).
% 9.32/9.56 27 [hyper,17,1] {-} theorem(implies(or(A,not(B)),implies(B,A))).
% 9.32/9.56 29 [hyper,8,1] {-} theorem(implies(implies(A,B),implies(or(C,A),or(C,B)))).
% 9.32/9.56 32 [para_into,27.1.1.1,10.1.1] {-} theorem(implies(implies(A,not(B)),implies(B,not(A)))).
% 9.32/9.56 59 [hyper,29,2,27] {-} theorem(implies(or(A,or(B,not(C))),or(A,implies(C,B)))).
% 9.32/9.56 64 [hyper,29,2,13] {-} theorem(implies(or(A,or(B,B)),or(A,B))).
% 9.32/9.56 84 [para_into,64.1.1.1,10.1.1,demod,11] {-} theorem(implies(implies(A,or(B,B)),implies(A,B))).
% 9.32/9.56 173 [hyper,84,2,14] {+} theorem(implies(A,A)).
% 9.32/9.56 178 [hyper,173,2,32] {+} theorem(implies(A,not(not(A)))).
% 9.32/9.56 185 [hyper,178,2,29] {+} theorem(implies(or(A,B),or(A,not(not(B))))).
% 9.32/9.56 314 [para_into,59.1.1.1,10.1.1,demod,11] {-} theorem(implies(implies(A,or(B,not(C))),implies(A,implies(C,B)))).
% 9.32/9.56 11579 [hyper,185,2,314] {-} theorem(implies(or(A,B),implies(not(B),A))).
% 9.32/9.56 11748 [para_into,11579.1.1.1,10.1.1] {-} theorem(implies(implies(A,B),implies(not(B),not(A)))).
% 9.32/9.56 11749 [binary,11748.1,3.1] {+} $F.
% 9.32/9.56
% 9.32/9.56 % SZS output end Refutation
% 9.32/9.56 ------------ end of proof -------------
% 9.32/9.56
% 9.32/9.56
% 9.32/9.56 Search stopped by max_proofs option.
% 9.32/9.56
% 9.32/9.56
% 9.32/9.56 Search stopped by max_proofs option.
% 9.32/9.56
% 9.32/9.56 ============ end of search ============
% 9.32/9.56
% 9.32/9.56 ----------- soft-scott stats ----------
% 9.32/9.56
% 9.32/9.56 true clauses given 168 (34.9%)
% 9.32/9.56 false clauses given 314
% 9.32/9.56
% 9.32/9.56 FALSE TRUE
% 9.32/9.56 8 0 11
% 9.32/9.56 9 0 119
% 9.32/9.56 10 10 429
% 9.32/9.56 11 139 498
% 9.32/9.56 12 120 1487
% 9.32/9.56 13 393 23
% 9.32/9.56 14 178 18
% 9.32/9.56 tot: 840 2585 (75.5% true)
% 9.32/9.56
% 9.32/9.56
% 9.32/9.56 Model 21 [ 3 1 74 ] (0.00 seconds, 250000 Inserts)
% 9.32/9.56
% 9.32/9.56 That finishes the proof of the theorem.
% 9.32/9.56
% 9.32/9.56 Process 12197 finished Mon Jul 4 09:10:06 2022
%------------------------------------------------------------------------------