TSTP Solution File: LCL259-3 by SOS---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : LCL259-3 : TPTP v8.1.0. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : sos-script %s
% Computer : n008.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 14:29:11 EDT 2022
% Result : Unsatisfiable 23.42s 23.63s
% Output : Refutation 23.42s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LCL259-3 : TPTP v8.1.0. Released v2.3.0.
% 0.07/0.13 % Command : sos-script %s
% 0.13/0.34 % Computer : n008.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 : Sat Jul 2 22:59:23 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.35 ----- Otter 3.2, August 2001 -----
% 0.13/0.35 The process was started by sandbox2 on n008.cluster.edu,
% 0.13/0.35 Sat Jul 2 22:59:23 2022
% 0.13/0.35 The command was "./sos". The process ID is 18516.
% 0.13/0.35
% 0.13/0.35 set(prolog_style_variables).
% 0.13/0.35 set(auto).
% 0.13/0.35 dependent: set(auto1).
% 0.13/0.35 dependent: set(process_input).
% 0.13/0.35 dependent: clear(print_kept).
% 0.13/0.35 dependent: clear(print_new_demod).
% 0.13/0.35 dependent: clear(print_back_demod).
% 0.13/0.35 dependent: clear(print_back_sub).
% 0.13/0.35 dependent: set(control_memory).
% 0.13/0.35 dependent: assign(max_mem, 12000).
% 0.13/0.35 dependent: assign(pick_given_ratio, 4).
% 0.13/0.35 dependent: assign(stats_level, 1).
% 0.13/0.35 dependent: assign(pick_semantic_ratio, 3).
% 0.13/0.35 dependent: assign(sos_limit, 5000).
% 0.13/0.35 dependent: assign(max_weight, 60).
% 0.13/0.35 clear(print_given).
% 0.13/0.35
% 0.13/0.35 list(usable).
% 0.13/0.35
% 0.13/0.35 SCAN INPUT: prop=0, horn=1, equality=1, symmetry=0, max_lits=3.
% 0.13/0.35
% 0.13/0.35 This is a Horn set with equality. The strategy will be
% 0.13/0.35 Knuth-Bendix and hyper_res, with positive clauses in
% 0.13/0.35 sos and nonpositive clauses in usable.
% 0.13/0.35
% 0.13/0.35 dependent: set(knuth_bendix).
% 0.13/0.35 dependent: set(para_from).
% 0.13/0.35 dependent: set(para_into).
% 0.13/0.35 dependent: clear(para_from_right).
% 0.13/0.35 dependent: clear(para_into_right).
% 0.13/0.35 dependent: set(para_from_vars).
% 0.13/0.35 dependent: set(eq_units_both_ways).
% 0.13/0.35 dependent: set(dynamic_demod_all).
% 0.13/0.35 dependent: set(dynamic_demod).
% 0.13/0.35 dependent: set(order_eq).
% 0.13/0.35 dependent: set(back_demod).
% 0.13/0.35 dependent: set(lrpo).
% 0.13/0.35 dependent: set(hyper_res).
% 0.13/0.35 dependent: clear(order_hyper).
% 0.13/0.35
% 0.13/0.35 ------------> process usable:
% 0.13/0.35
% 0.13/0.35 ------------> process sos:
% 0.13/0.35 Following clause subsumed by 12 during input processing: 0 [copy,12,flip.1] {-} A=A.
% 0.13/0.35
% 0.13/0.35 ======= end of input processing =======
% 0.13/0.39
% 0.13/0.39 Model 1 (0.00 seconds, 0 Inserts)
% 0.13/0.39
% 0.13/0.39 Stopped by limit on number of solutions
% 0.13/0.39
% 0.13/0.39
% 0.13/0.39 -------------- Softie stats --------------
% 0.13/0.39
% 0.13/0.39 UPDATE_STOP: 300
% 0.13/0.39 SFINDER_TIME_LIMIT: 2
% 0.13/0.39 SHORT_CLAUSE_CUTOFF: 4
% 0.13/0.39 number of clauses in intial UL: 3
% 0.13/0.39 number of clauses initially in problem: 11
% 0.13/0.39 percentage of clauses intially in UL: 27
% 0.13/0.39 percentage of distinct symbols occuring in initial UL: 62
% 0.13/0.39 percent of all initial clauses that are short: 100
% 0.13/0.39 absolute distinct symbol count: 8
% 0.13/0.39 distinct predicate count: 3
% 0.13/0.39 distinct function count: 3
% 0.13/0.39 distinct constant count: 2
% 0.13/0.39
% 0.13/0.39 ---------- no more Softie stats ----------
% 0.13/0.39
% 0.13/0.39
% 0.13/0.39
% 0.13/0.39 Model 2 (0.00 seconds, 0 Inserts)
% 0.13/0.39
% 0.13/0.39 Stopped by limit on number of solutions
% 0.13/0.39
% 0.13/0.39 =========== start of search ===========
% 5.84/6.08
% 5.84/6.08
% 5.84/6.08 Changing weight limit from 60 to 32.
% 5.84/6.08
% 5.84/6.08 Model 3 (0.00 seconds, 0 Inserts)
% 5.84/6.08
% 5.84/6.08 Stopped by limit on number of solutions
% 5.84/6.08
% 5.84/6.08 Model 4 (0.00 seconds, 0 Inserts)
% 5.84/6.08
% 5.84/6.08 Stopped by limit on number of solutions
% 5.84/6.08
% 5.84/6.08 Stopped by limit on insertions
% 5.84/6.08
% 5.84/6.08 Model 5 [ 1 8 75217 ] (0.00 seconds, 250000 Inserts)
% 5.84/6.08
% 5.84/6.08 Stopped by limit on insertions
% 5.84/6.08
% 5.84/6.08 Model 6 [ 21 0 406 ] (0.00 seconds, 250000 Inserts)
% 5.84/6.08
% 5.84/6.08 Stopped by limit on insertions
% 5.84/6.08
% 5.84/6.08 Model 7 [ 1 1 13367 ] (0.00 seconds, 250000 Inserts)
% 5.84/6.08
% 5.84/6.08 Stopped by limit on insertions
% 5.84/6.08
% 5.84/6.08 Model 8 [ 1 1 226 ] (0.00 seconds, 250000 Inserts)
% 5.84/6.08
% 5.84/6.08 Stopped by limit on insertions
% 5.84/6.08
% 5.84/6.08 Model 9 [ 31 8 203223 ] (0.00 seconds, 250000 Inserts)
% 5.84/6.08
% 5.84/6.08 Stopped by limit on insertions
% 5.84/6.08
% 5.84/6.08 Model 10 [ 32 1 806 ] (0.00 seconds, 250000 Inserts)
% 5.84/6.08
% 5.84/6.08 Stopped by limit on insertions
% 5.84/6.08
% 5.84/6.08 Stopped by limit on insertions
% 5.84/6.08
% 5.84/6.08 Model 11 [ 1 0 769 ] (0.00 seconds, 250000 Inserts)
% 5.84/6.08
% 5.84/6.08 Stopped by limit on insertions
% 5.84/6.08
% 5.84/6.08 Model 12 [ 32 16 137372 ] (0.00 seconds, 250000 Inserts)
% 5.84/6.08
% 5.84/6.08 Stopped by limit on insertions
% 5.84/6.08
% 5.84/6.08 Stopped by limit on insertions
% 5.84/6.08
% 5.84/6.08 Model 13 [ 2 0 2000 ] (0.00 seconds, 250000 Inserts)
% 5.84/6.08
% 5.84/6.08 Stopped by limit on insertions
% 5.84/6.08
% 5.84/6.08 Model 14 [ 2 1 5142 ] (0.00 seconds, 250000 Inserts)
% 5.84/6.08
% 5.84/6.08 Stopped by limit on insertions
% 5.84/6.08
% 5.84/6.08 Stopped by limit on insertions
% 5.84/6.08
% 5.84/6.08 Model 15 [ 32 49 173178 ] (0.00 seconds, 250000 Inserts)
% 5.84/6.08
% 5.84/6.08 Stopped by limit on insertions
% 5.84/6.08
% 5.84/6.08 Model 16 [ 2 53 156239 ] (0.00 seconds, 250000 Inserts)
% 5.84/6.08
% 5.84/6.08 Stopped by limit on insertions
% 5.84/6.08
% 5.84/6.08 Model 17 [ 3 1 247 ] (0.00 seconds, 250000 Inserts)
% 5.84/6.08
% 5.84/6.08 Resetting weight limit to 32 after 210 givens.
% 5.84/6.08
% 6.34/6.54
% 6.34/6.54
% 6.34/6.54 Changing weight limit from 32 to 24.
% 6.34/6.54
% 6.34/6.54 Resetting weight limit to 24 after 270 givens.
% 6.34/6.54
% 6.44/6.65
% 6.44/6.65
% 6.44/6.65 Changing weight limit from 24 to 18.
% 6.44/6.65
% 6.44/6.65 Resetting weight limit to 18 after 275 givens.
% 6.44/6.65
% 6.53/6.76
% 6.53/6.76
% 6.53/6.76 Changing weight limit from 18 to 16.
% 6.53/6.76
% 6.53/6.76 Resetting weight limit to 16 after 280 givens.
% 6.53/6.76
% 6.73/6.90
% 6.73/6.90
% 6.73/6.90 Changing weight limit from 16 to 15.
% 6.73/6.90
% 6.73/6.90 Resetting weight limit to 15 after 315 givens.
% 6.73/6.90
% 15.41/15.60
% 15.41/15.60
% 15.41/15.60 Changing weight limit from 15 to 14.
% 15.41/15.60
% 15.41/15.60 Stopped by limit on insertions
% 15.41/15.60
% 15.41/15.60 Model 18 [ 33 47 115505 ] (0.00 seconds, 250000 Inserts)
% 15.41/15.60
% 15.41/15.60 Stopped by limit on insertions
% 15.41/15.60
% 15.41/15.60 Model 19 [ 4 4 7972 ] (0.00 seconds, 250000 Inserts)
% 15.41/15.60
% 15.41/15.60 Stopped by limit on insertions
% 15.41/15.60
% 15.41/15.60 Model 20 [ 5 85 190634 ] (0.00 seconds, 250000 Inserts)
% 15.41/15.60
% 15.41/15.60 Stopped by limit on insertions
% 15.41/15.60
% 15.41/15.60 Model 21 [ 8 82 227338 ] (0.00 seconds, 250000 Inserts)
% 15.41/15.60
% 15.41/15.60 Stopped by limit on insertions
% 15.41/15.60
% 15.41/15.60 Model 22 [ 5 19 34712 ] (0.00 seconds, 250000 Inserts)
% 15.41/15.60
% 15.41/15.60 Stopped by limit on insertions
% 15.41/15.60
% 15.41/15.60 Model 23 [ 6 1 143 ] (0.00 seconds, 250000 Inserts)
% 15.41/15.60
% 15.41/15.60 Stopped by limit on insertions
% 15.41/15.60
% 15.41/15.60 Modelling stopped after 300 given clauses and 0.00 seconds
% 15.41/15.60
% 15.41/15.60
% 15.41/15.60 Resetting weight limit to 14 after 485 givens.
% 15.41/15.60
% 15.92/16.16
% 15.92/16.16
% 15.92/16.16 Changing weight limit from 14 to 13.
% 15.92/16.16
% 15.92/16.16 Resetting weight limit to 13 after 610 givens.
% 15.92/16.16
% 19.05/19.23
% 19.05/19.23
% 19.05/19.23 Changing weight limit from 13 to 12.
% 19.05/19.23
% 19.05/19.23 Resetting weight limit to 12 after 2075 givens.
% 19.05/19.23
% 23.42/23.63
% 23.42/23.63 -- HEY sandbox2, WE HAVE A PROOF!! --
% 23.42/23.63
% 23.42/23.63 ----> UNIT CONFLICT at 22.37 sec ----> 54262 [binary,54261.1,3.1] {+} $F.
% 23.42/23.63
% 23.42/23.63 Length of proof is 35. Level of proof is 13.
% 23.42/23.63
% 23.42/23.63 ---------------- PROOF ----------------
% 23.42/23.63 % SZS status Unsatisfiable
% 23.42/23.63 % SZS output start Refutation
% 23.42/23.63
% 23.42/23.63 1 [] {+} theorem(A)| -axiom(A).
% 23.42/23.63 2 [] {+} theorem(A)| -theorem(implies(B,A))| -theorem(B).
% 23.42/23.63 3 [] {+} -theorem(implies(implies(p,implies(p,q)),implies(p,q))).
% 23.42/23.63 4 [] {+} axiom(implies(or(A,A),A)).
% 23.42/23.63 5 [] {+} axiom(implies(A,or(B,A))).
% 23.42/23.63 6 [] {+} axiom(implies(or(A,B),or(B,A))).
% 23.42/23.63 7 [] {+} axiom(implies(or(A,or(B,C)),or(B,or(A,C)))).
% 23.42/23.63 8 [] {+} axiom(implies(implies(A,B),implies(or(C,A),or(C,B)))).
% 23.42/23.63 9 [] {-} implies(A,B)=or(not(A),B).
% 23.42/23.63 11,10 [copy,9,flip.1] {+} or(not(A),B)=implies(A,B).
% 23.42/23.63 13 [hyper,4,1] {+} theorem(implies(or(A,A),A)).
% 23.42/23.63 14 [hyper,5,1] {+} theorem(implies(A,or(B,A))).
% 23.42/23.63 15 [hyper,6,1] {+} theorem(implies(or(A,B),or(B,A))).
% 23.42/23.63 17 [para_from,10.1.1,6.1.1.2] {-} axiom(implies(or(A,not(B)),implies(B,A))).
% 23.42/23.63 20 [hyper,7,1] {+} theorem(implies(or(A,or(B,C)),or(B,or(A,C)))).
% 23.42/23.63 22 [para_into,7.1.1.1,10.1.1,demod,11] {-} axiom(implies(implies(A,or(B,C)),or(B,implies(A,C)))).
% 23.42/23.63 26 [para_into,14.1.1.2,10.1.1] {+} theorem(implies(A,implies(B,A))).
% 23.42/23.63 27 [hyper,17,1] {-} theorem(implies(or(A,not(B)),implies(B,A))).
% 23.42/23.63 29 [hyper,8,1] {-} theorem(implies(implies(A,B),implies(or(C,A),or(C,B)))).
% 23.42/23.63 47 [para_into,15.1.1.1,10.1.1] {+} theorem(implies(implies(A,B),or(B,not(A)))).
% 23.42/23.63 51 [hyper,22,1] {-} theorem(implies(implies(A,or(B,C)),or(B,implies(A,C)))).
% 23.42/23.63 57 [hyper,51,2,14] {+} theorem(or(A,implies(B,B))).
% 23.42/23.63 73 [hyper,57,2,13] {+} theorem(implies(A,A)).
% 23.42/23.63 79 [para_into,20.1.1.1.2,10.1.1,demod,11] {-} theorem(implies(or(A,implies(B,C)),implies(B,or(A,C)))).
% 23.42/23.63 102 [hyper,73,2,51] {+} theorem(or(A,implies(or(A,B),B))).
% 23.42/23.63 105 [hyper,102,2,15] {+} theorem(or(implies(or(A,B),B),A)).
% 23.42/23.63 107 [para_into,102.1.1.2.1,10.1.1,demod,11] {+} theorem(implies(A,implies(implies(A,B),B))).
% 23.42/23.63 147 [hyper,29,2,27] {-} theorem(implies(or(A,or(B,not(C))),or(A,implies(C,B)))).
% 23.42/23.63 148 [hyper,29,2,26] {-} theorem(implies(or(A,B),or(A,implies(C,B)))).
% 23.42/23.63 153 [hyper,29,2,13] {-} theorem(implies(or(A,or(B,B)),or(A,B))).
% 23.42/23.63 280 [hyper,105,2,148] {-} theorem(or(implies(or(A,B),B),implies(C,A))).
% 23.42/23.63 339 [hyper,107,2,29] {-} theorem(implies(or(A,B),or(A,implies(implies(B,C),C)))).
% 23.42/23.63 493 [hyper,280,2,15] {-} theorem(or(implies(A,B),implies(or(B,C),C))).
% 23.42/23.63 587 [hyper,47,2,73] {+} theorem(or(A,not(A))).
% 23.42/23.63 610 [hyper,587,2,14] {+} theorem(or(A,or(B,not(B)))).
% 23.42/23.63 1602 [hyper,610,2,20] {+} theorem(or(A,or(B,not(A)))).
% 23.42/23.63 3373 [hyper,79,2,493] {-} theorem(implies(or(A,B),or(implies(C,A),B))).
% 23.42/23.63 12997 [hyper,147,2,1602] {+} theorem(or(A,implies(A,B))).
% 23.42/23.63 13058 [hyper,12997,2,15] {+} theorem(or(implies(A,B),A)).
% 23.42/23.63 13560 [hyper,13058,2,107] {-} theorem(implies(implies(or(implies(A,B),A),C),C)).
% 23.42/23.63 14094 [para_into,153.1.1.1,10.1.1,demod,11] {-} theorem(implies(implies(A,or(B,B)),implies(A,B))).
% 23.42/23.63 21167 [hyper,14094,2,3373] {-} theorem(implies(or(A,implies(B,A)),implies(B,A))).
% 23.42/23.63 26536 [hyper,339,2,13560] {+} theorem(or(implies(A,B),implies(implies(A,C),C))).
% 23.42/23.63 54261 [hyper,26536,2,21167] {-} theorem(implies(implies(A,implies(A,B)),implies(A,B))).
% 23.42/23.63 54262 [binary,54261.1,3.1] {+} $F.
% 23.42/23.63
% 23.42/23.63 % SZS output end Refutation
% 23.42/23.63 ------------ end of proof -------------
% 23.42/23.63
% 23.42/23.63
% 23.42/23.63 Search stopped by max_proofs option.
% 23.42/23.63
% 23.42/23.63
% 23.42/23.63 Search stopped by max_proofs option.
% 23.42/23.63
% 23.42/23.63 ============ end of search ============
% 23.42/23.63
% 23.42/23.63 ----------- soft-scott stats ----------
% 23.42/23.63
% 23.42/23.63 true clauses given 1266 (35.2%)
% 23.42/23.63 false clauses given 2331
% 23.42/23.63
% 23.42/23.63 FALSE TRUE
% 23.42/23.63 10 0 127
% 23.42/23.63 11 0 1257
% 23.42/23.63 12 2107 1114
% 23.42/23.63 tot: 2107 2498 (54.2% true)
% 23.42/23.63
% 23.42/23.63
% 23.42/23.63 Model 23 [ 6 -121 143 ] (0.00 seconds, 250000 Inserts)
% 23.42/23.63
% 23.42/23.63 That finishes the proof of the theorem.
% 23.42/23.63
% 23.42/23.63 Process 18516 finished Sat Jul 2 22:59:46 2022
%------------------------------------------------------------------------------