TSTP Solution File: LCL199-3 by SOS---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : LCL199-3 : TPTP v8.1.0. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : sos-script %s
% Computer : n026.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 14:28:36 EDT 2022
% Result : Unsatisfiable 14.10s 14.27s
% Output : Refutation 14.10s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LCL199-3 : TPTP v8.1.0. Released v2.3.0.
% 0.07/0.12 % Command : sos-script %s
% 0.14/0.33 % Computer : n026.cluster.edu
% 0.14/0.33 % Model : x86_64 x86_64
% 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33 % Memory : 8042.1875MB
% 0.14/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33 % CPULimit : 300
% 0.14/0.33 % WCLimit : 600
% 0.14/0.33 % DateTime : Sat Jul 2 15:36:50 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.14/0.35 ----- Otter 3.2, August 2001 -----
% 0.14/0.35 The process was started by sandbox2 on n026.cluster.edu,
% 0.14/0.35 Sat Jul 2 15:36:50 2022
% 0.14/0.35 The command was "./sos". The process ID is 7526.
% 0.14/0.35
% 0.14/0.35 set(prolog_style_variables).
% 0.14/0.35 set(auto).
% 0.14/0.35 dependent: set(auto1).
% 0.14/0.35 dependent: set(process_input).
% 0.14/0.35 dependent: clear(print_kept).
% 0.14/0.35 dependent: clear(print_new_demod).
% 0.14/0.35 dependent: clear(print_back_demod).
% 0.14/0.35 dependent: clear(print_back_sub).
% 0.14/0.35 dependent: set(control_memory).
% 0.14/0.35 dependent: assign(max_mem, 12000).
% 0.14/0.35 dependent: assign(pick_given_ratio, 4).
% 0.14/0.35 dependent: assign(stats_level, 1).
% 0.14/0.35 dependent: assign(pick_semantic_ratio, 3).
% 0.14/0.35 dependent: assign(sos_limit, 5000).
% 0.14/0.35 dependent: assign(max_weight, 60).
% 0.14/0.35 clear(print_given).
% 0.14/0.35
% 0.14/0.35 list(usable).
% 0.14/0.35
% 0.14/0.35 SCAN INPUT: prop=0, horn=1, equality=1, symmetry=0, max_lits=3.
% 0.14/0.35
% 0.14/0.35 This is a Horn set with equality. The strategy will be
% 0.14/0.35 Knuth-Bendix and hyper_res, with positive clauses in
% 0.14/0.35 sos and nonpositive clauses in usable.
% 0.14/0.35
% 0.14/0.35 dependent: set(knuth_bendix).
% 0.14/0.35 dependent: set(para_from).
% 0.14/0.35 dependent: set(para_into).
% 0.14/0.35 dependent: clear(para_from_right).
% 0.14/0.35 dependent: clear(para_into_right).
% 0.14/0.35 dependent: set(para_from_vars).
% 0.14/0.35 dependent: set(eq_units_both_ways).
% 0.14/0.35 dependent: set(dynamic_demod_all).
% 0.14/0.35 dependent: set(dynamic_demod).
% 0.14/0.35 dependent: set(order_eq).
% 0.14/0.35 dependent: set(back_demod).
% 0.14/0.35 dependent: set(lrpo).
% 0.14/0.35 dependent: set(hyper_res).
% 0.14/0.35 dependent: clear(order_hyper).
% 0.14/0.35
% 0.14/0.35 ------------> process usable:
% 0.14/0.35
% 0.14/0.35 ------------> process sos:
% 0.14/0.35 Following clause subsumed by 12 during input processing: 0 [copy,12,flip.1] {-} A=A.
% 0.14/0.35
% 0.14/0.35 ======= 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: 87
% 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 ===========
% 12.18/12.36
% 12.18/12.36
% 12.18/12.36 Changing weight limit from 60 to 40.
% 12.18/12.36
% 12.18/12.36 Model 3 (0.00 seconds, 0 Inserts)
% 12.18/12.36
% 12.18/12.36 Stopped by limit on number of solutions
% 12.18/12.36
% 12.18/12.36 Model 4 (0.00 seconds, 0 Inserts)
% 12.18/12.36
% 12.18/12.36 Stopped by limit on number of solutions
% 12.18/12.36
% 12.18/12.36 Stopped by limit on insertions
% 12.18/12.36
% 12.18/12.36 Stopped by limit on insertions
% 12.18/12.36
% 12.18/12.36 Model 5 [ 1 1 8786 ] (0.00 seconds, 250000 Inserts)
% 12.18/12.36
% 12.18/12.36 Stopped by limit on insertions
% 12.18/12.36
% 12.18/12.36 Model 6 [ 1 0 259 ] (0.00 seconds, 250000 Inserts)
% 12.18/12.36
% 12.18/12.36 Stopped by limit on insertions
% 12.18/12.36
% 12.18/12.36 Model 7 [ 30 1 14290 ] (0.00 seconds, 250000 Inserts)
% 12.18/12.36
% 12.18/12.36 Stopped by limit on insertions
% 12.18/12.36
% 12.18/12.36 Model 8 [ 31 1 241 ] (0.00 seconds, 250000 Inserts)
% 12.18/12.36
% 12.18/12.36 Stopped by limit on insertions
% 12.18/12.36
% 12.18/12.36 Model 9 [ 32 12 106126 ] (0.00 seconds, 250000 Inserts)
% 12.18/12.36
% 12.18/12.36 Stopped by limit on insertions
% 12.18/12.36
% 12.18/12.36 Model 10 [ 31 0 439 ] (0.00 seconds, 250000 Inserts)
% 12.18/12.36
% 12.18/12.36 Stopped by limit on insertions
% 12.18/12.36
% 12.18/12.36 Model 11 [ 1 1 1506 ] (0.00 seconds, 250000 Inserts)
% 12.18/12.36
% 12.18/12.36 Stopped by limit on insertions
% 12.18/12.36
% 12.18/12.36 Stopped by limit on insertions
% 12.18/12.36
% 12.18/12.36 Model 12 [ 1 1 58 ] (0.00 seconds, 250000 Inserts)
% 12.18/12.36
% 12.18/12.36 Stopped by limit on insertions
% 12.18/12.36
% 12.18/12.36 Model 13 [ 32 1 342 ] (0.00 seconds, 250000 Inserts)
% 12.18/12.36
% 12.18/12.36 Stopped by limit on insertions
% 12.18/12.36
% 12.18/12.36 Model 14 [ 2 1 80 ] (0.00 seconds, 250000 Inserts)
% 12.18/12.36
% 12.18/12.36 Stopped by limit on insertions
% 12.18/12.36
% 12.18/12.36 Stopped by limit on insertions
% 12.18/12.36
% 12.18/12.36 Model 15 [ 2 53 114981 ] (0.00 seconds, 250000 Inserts)
% 12.18/12.36
% 12.18/12.36 Stopped by limit on insertions
% 12.18/12.36
% 12.18/12.36 Model 16 [ 2 42 99079 ] (0.00 seconds, 250000 Inserts)
% 12.18/12.36
% 12.18/12.36 Stopped by limit on insertions
% 12.18/12.36
% 12.18/12.36 Model 17 [ 2 37 82223 ] (0.00 seconds, 250000 Inserts)
% 12.18/12.36
% 12.18/12.36 Stopped by limit on insertions
% 12.18/12.36
% 12.18/12.36 Resetting weight limit to 40 after 270 givens.
% 12.18/12.36
% 12.58/12.79
% 12.58/12.79
% 12.58/12.79 Changing weight limit from 40 to 32.
% 12.58/12.79
% 12.58/12.79 Resetting weight limit to 32 after 365 givens.
% 12.58/12.79
% 12.58/12.82
% 12.58/12.82
% 12.58/12.82 Changing weight limit from 32 to 27.
% 12.58/12.82
% 12.58/12.82 Resetting weight limit to 27 after 370 givens.
% 12.58/12.82
% 12.58/12.83
% 12.58/12.83
% 12.58/12.83 Changing weight limit from 27 to 25.
% 12.58/12.83
% 12.58/12.83 Resetting weight limit to 25 after 375 givens.
% 12.58/12.83
% 12.68/12.85
% 12.68/12.85
% 12.68/12.85 Changing weight limit from 25 to 24.
% 12.68/12.85
% 12.68/12.85 Resetting weight limit to 24 after 380 givens.
% 12.68/12.85
% 12.68/12.87
% 12.68/12.87
% 12.68/12.87 Changing weight limit from 24 to 22.
% 12.68/12.87
% 12.68/12.87 Resetting weight limit to 22 after 390 givens.
% 12.68/12.87
% 12.74/12.92
% 12.74/12.92
% 12.74/12.92 Changing weight limit from 22 to 21.
% 12.74/12.92
% 12.74/12.92 Resetting weight limit to 21 after 400 givens.
% 12.74/12.92
% 12.74/12.95
% 12.74/12.95
% 12.74/12.95 Changing weight limit from 21 to 20.
% 12.74/12.95
% 12.74/12.95 Resetting weight limit to 20 after 410 givens.
% 12.74/12.95
% 12.86/13.03
% 12.86/13.03
% 12.86/13.03 Changing weight limit from 20 to 19.
% 12.86/13.03
% 12.86/13.03 Modelling stopped after 300 given clauses and 0.00 seconds
% 12.86/13.03
% 12.86/13.03
% 12.86/13.03 Resetting weight limit to 19 after 420 givens.
% 12.86/13.03
% 12.86/13.07
% 12.86/13.07
% 12.86/13.07 Changing weight limit from 19 to 18.
% 12.86/13.07
% 12.86/13.07 Resetting weight limit to 18 after 425 givens.
% 12.86/13.07
% 12.96/13.13
% 12.96/13.13
% 12.96/13.13 Changing weight limit from 18 to 16.
% 12.96/13.13
% 12.96/13.13 Resetting weight limit to 16 after 430 givens.
% 12.96/13.13
% 13.02/13.22
% 13.02/13.22
% 13.02/13.22 Changing weight limit from 16 to 15.
% 13.02/13.22
% 13.02/13.22 Resetting weight limit to 15 after 445 givens.
% 13.02/13.22
% 13.09/13.27
% 13.09/13.27
% 13.09/13.27 Changing weight limit from 15 to 14.
% 13.09/13.27
% 13.09/13.27 Resetting weight limit to 14 after 450 givens.
% 13.09/13.27
% 13.64/13.83
% 13.64/13.83
% 13.64/13.83 Changing weight limit from 14 to 13.
% 13.64/13.83
% 13.64/13.83 Resetting weight limit to 13 after 665 givens.
% 13.64/13.83
% 14.10/14.27
% 14.10/14.27 -- HEY sandbox2, WE HAVE A PROOF!! --
% 14.10/14.27
% 14.10/14.27 ----> UNIT CONFLICT at 13.83 sec ----> 19249 [binary,19248.1,3.1] {+} $F.
% 14.10/14.27
% 14.10/14.27 Length of proof is 42. Level of proof is 20.
% 14.10/14.27
% 14.10/14.27 ---------------- PROOF ----------------
% 14.10/14.27 % SZS status Unsatisfiable
% 14.10/14.27 % SZS output start Refutation
% 14.10/14.27
% 14.10/14.27 1 [] {+} theorem(A)| -axiom(A).
% 14.10/14.27 2 [] {+} theorem(A)| -theorem(implies(B,A))| -theorem(B).
% 14.10/14.27 3 [] {+} -theorem(implies(not(or(p,q)),not(p))).
% 14.10/14.27 4 [] {+} axiom(implies(or(A,A),A)).
% 14.10/14.27 5 [] {+} axiom(implies(A,or(B,A))).
% 14.10/14.27 6 [] {-} axiom(implies(or(A,B),or(B,A))).
% 14.10/14.27 7 [] {+} axiom(implies(or(A,or(B,C)),or(B,or(A,C)))).
% 14.10/14.27 8 [] {+} axiom(implies(implies(A,B),implies(or(C,A),or(C,B)))).
% 14.10/14.27 9 [] {-} implies(A,B)=or(not(A),B).
% 14.10/14.27 11,10 [copy,9,flip.1] {+} or(not(A),B)=implies(A,B).
% 14.10/14.27 13 [hyper,4,1] {+} theorem(implies(or(A,A),A)).
% 14.10/14.27 14 [hyper,5,1] {+} theorem(implies(A,or(B,A))).
% 14.10/14.27 15 [para_from,10.1.1,5.1.1.2] {+} axiom(implies(A,implies(B,A))).
% 14.10/14.27 17 [hyper,6,1] {+} theorem(implies(or(A,B),or(B,A))).
% 14.10/14.27 20 [hyper,7,1] {+} theorem(implies(or(A,or(B,C)),or(B,or(A,C)))).
% 14.10/14.27 23 [para_into,17.1.1.1,10.1.1] {+} theorem(implies(implies(A,B),or(B,not(A)))).
% 14.10/14.27 24 [para_into,17.1.1.2,10.1.1] {-} theorem(implies(or(A,not(B)),implies(B,A))).
% 14.10/14.27 25 [hyper,15,1] {+} theorem(implies(A,implies(B,A))).
% 14.10/14.27 28 [hyper,8,1] {+} theorem(implies(implies(A,B),implies(or(C,A),or(C,B)))).
% 14.10/14.27 62 [para_into,20.1.1.1.2,10.1.1,demod,11] {-} theorem(implies(or(A,implies(B,C)),implies(B,or(A,C)))).
% 14.10/14.27 63 [para_into,20.1.1.1,10.1.1,demod,11] {-} theorem(implies(implies(A,or(B,C)),or(B,implies(A,C)))).
% 14.10/14.27 128 [hyper,23,2,25] {+} theorem(or(implies(A,B),not(B))).
% 14.10/14.27 146 [hyper,128,2,14] {+} theorem(or(A,or(implies(B,C),not(C)))).
% 14.10/14.27 157 [hyper,28,2,24] {-} theorem(implies(or(A,or(B,not(C))),or(A,implies(C,B)))).
% 14.10/14.27 162 [hyper,28,2,13] {-} theorem(implies(or(A,or(B,B)),or(A,B))).
% 14.10/14.27 220 [para_into,157.1.1.1,10.1.1,demod,11] {-} theorem(implies(implies(A,or(B,not(C))),implies(A,implies(C,B)))).
% 14.10/14.27 515 [hyper,146,2,20] {-} theorem(or(implies(A,B),or(C,not(B)))).
% 14.10/14.27 518 [hyper,515,2,157] {+} theorem(or(implies(A,B),implies(B,C))).
% 14.10/14.27 546 [para_into,62.1.1.1,10.1.1,demod,11] {+} theorem(implies(implies(A,implies(B,C)),implies(B,implies(A,C)))).
% 14.10/14.27 553 [hyper,518,2,13] {+} theorem(implies(A,A)).
% 14.10/14.27 558 [hyper,553,2,23] {+} theorem(or(A,not(A))).
% 14.10/14.27 735 [hyper,63,2,553] {-} theorem(or(A,implies(or(A,B),B))).
% 14.10/14.27 740 [hyper,63,2,17] {+} theorem(or(A,implies(or(B,A),B))).
% 14.10/14.27 747 [hyper,558,2,14] {+} theorem(or(A,or(B,not(B)))).
% 14.10/14.27 1279 [hyper,735,2,17] {+} theorem(or(implies(or(A,B),B),A)).
% 14.10/14.27 1281 [para_into,735.1.1.2.1,10.1.1,demod,11] {+} theorem(implies(A,implies(implies(A,B),B))).
% 14.10/14.27 1300 [hyper,740,2,17] {+} theorem(or(implies(or(A,B),A),B)).
% 14.10/14.27 1410 [hyper,747,2,20] {+} theorem(or(A,or(B,not(A)))).
% 14.10/14.27 1575 [hyper,1410,2,157] {+} theorem(or(A,implies(A,B))).
% 14.10/14.27 1773 [hyper,1575,2,62] {+} theorem(implies(A,or(A,B))).
% 14.10/14.27 1778 [para_into,1575.1.1,10.1.1] {+} theorem(implies(A,implies(not(A),B))).
% 14.10/14.27 1823 [hyper,1773,2,23] {-} theorem(or(or(A,B),not(A))).
% 14.10/14.27 2179 [hyper,1778,2,28] {-} theorem(implies(or(A,B),or(A,implies(not(B),C)))).
% 14.10/14.27 2423 [hyper,162,2,220,demod,11] {-} theorem(implies(or(A,implies(B,not(B))),implies(B,A))).
% 14.10/14.27 4515 [hyper,1281,2,1823] {-} theorem(implies(implies(or(or(A,B),not(A)),C),C)).
% 14.10/14.27 10951 [hyper,2179,2,1300] {-} theorem(or(implies(or(A,B),A),implies(not(B),C))).
% 14.10/14.27 18748 [hyper,10951,2,2423] {-} theorem(implies(not(A),implies(or(B,A),B))).
% 14.10/14.27 18805 [hyper,18748,2,546] {-} theorem(implies(or(A,B),implies(not(B),A))).
% 14.10/14.27 19049 [hyper,18805,2,1279] {-} theorem(implies(not(A),implies(or(A,B),B))).
% 14.10/14.27 19169 [hyper,19049,2,546] {-} theorem(implies(or(A,B),implies(not(A),B))).
% 14.10/14.27 19248 [hyper,19169,2,4515] {-} theorem(implies(not(or(A,B)),not(A))).
% 14.10/14.27 19249 [binary,19248.1,3.1] {+} $F.
% 14.10/14.27
% 14.10/14.27 % SZS output end Refutation
% 14.10/14.27 ------------ end of proof -------------
% 14.10/14.27
% 14.10/14.27
% 14.10/14.27 Search stopped by max_proofs option.
% 14.10/14.27
% 14.10/14.27
% 14.10/14.27 Search stopped by max_proofs option.
% 14.10/14.27
% 14.10/14.27 ============ end of search ============
% 14.10/14.27
% 14.10/14.27 ----------- soft-scott stats ----------
% 14.10/14.27
% 14.10/14.27 true clauses given 301 (31.4%)
% 14.10/14.27 false clauses given 658
% 14.10/14.27
% 14.10/14.27 FALSE TRUE
% 14.10/14.27 9 0 44
% 14.10/14.27 10 21 530
% 14.10/14.27 11 262 818
% 14.10/14.27 12 1253 1129
% 14.10/14.27 13 1016 14
% 14.10/14.27 tot: 2552 2535 (49.8% true)
% 14.10/14.27
% 14.10/14.27
% 14.10/14.27 Model 17 [ 2 -88 82223 ] (0.00 seconds, 250000 Inserts)
% 14.10/14.27
% 14.10/14.27 That finishes the proof of the theorem.
% 14.10/14.27
% 14.10/14.27 Process 7526 finished Sat Jul 2 15:37:04 2022
%------------------------------------------------------------------------------