TSTP Solution File: LCL219-3 by SOS---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : LCL219-3 : TPTP v8.1.0. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : sos-script %s
% Computer : n017.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 14:28:48 EDT 2022
% Result : Unsatisfiable 69.27s 69.44s
% Output : Refutation 69.27s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LCL219-3 : TPTP v8.1.0. Released v2.3.0.
% 0.07/0.13 % Command : sos-script %s
% 0.13/0.34 % Computer : n017.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 : Sun Jul 3 22:44:42 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 sandbox on n017.cluster.edu,
% 0.13/0.35 Sun Jul 3 22:44:42 2022
% 0.13/0.35 The command was "./sos". The process ID is 2872.
% 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 =======
% 0.19/0.40
% 0.19/0.40 Model 1 (0.00 seconds, 0 Inserts)
% 0.19/0.40
% 0.19/0.40 Stopped by limit on number of solutions
% 0.19/0.40
% 0.19/0.40
% 0.19/0.40 -------------- Softie stats --------------
% 0.19/0.40
% 0.19/0.40 UPDATE_STOP: 300
% 0.19/0.40 SFINDER_TIME_LIMIT: 2
% 0.19/0.40 SHORT_CLAUSE_CUTOFF: 4
% 0.19/0.40 number of clauses in intial UL: 3
% 0.19/0.40 number of clauses initially in problem: 11
% 0.19/0.40 percentage of clauses intially in UL: 27
% 0.19/0.40 percentage of distinct symbols occuring in initial UL: 75
% 0.19/0.40 percent of all initial clauses that are short: 100
% 0.19/0.40 absolute distinct symbol count: 8
% 0.19/0.40 distinct predicate count: 3
% 0.19/0.40 distinct function count: 3
% 0.19/0.40 distinct constant count: 2
% 0.19/0.40
% 0.19/0.40 ---------- no more Softie stats ----------
% 0.19/0.40
% 0.19/0.40
% 0.19/0.40
% 0.19/0.40 Model 2 (0.00 seconds, 0 Inserts)
% 0.19/0.40
% 0.19/0.40 Stopped by limit on number of solutions
% 0.19/0.40
% 0.19/0.40 =========== start of search ===========
% 58.22/58.43
% 58.22/58.43
% 58.22/58.43 Changing weight limit from 60 to 36.
% 58.22/58.43
% 58.22/58.43 Model 3 (0.00 seconds, 0 Inserts)
% 58.22/58.43
% 58.22/58.43 Stopped by limit on number of solutions
% 58.22/58.43
% 58.22/58.43 Model 4 (0.00 seconds, 0 Inserts)
% 58.22/58.43
% 58.22/58.43 Stopped by limit on number of solutions
% 58.22/58.43
% 58.22/58.43 Stopped by limit on insertions
% 58.22/58.43
% 58.22/58.43 Model 5 [ 1 1 3790 ] (0.00 seconds, 250000 Inserts)
% 58.22/58.43
% 58.22/58.43 Stopped by limit on insertions
% 58.22/58.43
% 58.22/58.43 Stopped by limit on insertions
% 58.22/58.43
% 58.22/58.43 Model 6 [ 4 2 39050 ] (0.00 seconds, 250000 Inserts)
% 58.22/58.43
% 58.22/58.43 Stopped by limit on insertions
% 58.22/58.43
% 58.22/58.43 Model 7 [ 1 1 436 ] (0.00 seconds, 250000 Inserts)
% 58.22/58.43
% 58.22/58.43 Stopped by limit on insertions
% 58.22/58.43
% 58.22/58.43 Model 8 [ 31 1 6393 ] (0.00 seconds, 250000 Inserts)
% 58.22/58.43
% 58.22/58.43 Stopped by limit on insertions
% 58.22/58.43
% 58.22/58.43 Model 9 [ 31 5 51091 ] (0.00 seconds, 250000 Inserts)
% 58.22/58.43
% 58.22/58.43 Stopped by limit on insertions
% 58.22/58.43
% 58.22/58.43 Model 10 [ 31 1 1311 ] (0.00 seconds, 250000 Inserts)
% 58.22/58.43
% 58.22/58.43 Stopped by limit on insertions
% 58.22/58.43
% 58.22/58.43 Model 11 [ 1 17 153201 ] (0.00 seconds, 250000 Inserts)
% 58.22/58.43
% 58.22/58.43 Stopped by limit on insertions
% 58.22/58.43
% 58.22/58.43 Model 12 [ 32 27 188820 ] (0.00 seconds, 250000 Inserts)
% 58.22/58.43
% 58.22/58.43 Stopped by limit on insertions
% 58.22/58.43
% 58.22/58.43 Model 13 [ 1 1 480 ] (0.00 seconds, 250000 Inserts)
% 58.22/58.43
% 58.22/58.43 Stopped by limit on insertions
% 58.22/58.43
% 58.22/58.43 Model 14 [ 2 1 201 ] (0.00 seconds, 250000 Inserts)
% 58.22/58.43
% 58.22/58.43 Stopped by limit on insertions
% 58.22/58.43
% 58.22/58.43 Model 15 [ 3 1 2230 ] (0.00 seconds, 250000 Inserts)
% 58.22/58.43
% 58.22/58.43 Stopped by limit on insertions
% 58.22/58.43
% 58.22/58.43 Model 16 [ 3 82 226180 ] (0.00 seconds, 250000 Inserts)
% 58.22/58.43
% 58.22/58.43 Stopped by limit on insertions
% 58.22/58.43
% 58.22/58.43 Stopped by limit on insertions
% 58.22/58.43
% 58.22/58.43 Model 17 [ 3 58 155545 ] (0.00 seconds, 250000 Inserts)
% 58.22/58.43
% 58.22/58.43 Stopped by limit on insertions
% 58.22/58.43
% 58.22/58.43 Model 18 [ 4 4 9175 ] (0.00 seconds, 250000 Inserts)
% 58.22/58.43
% 58.22/58.43 Stopped by limit on insertions
% 58.22/58.43
% 58.22/58.43 Model 19 [ 4 3 4644 ] (0.00 seconds, 250000 Inserts)
% 58.22/58.43
% 58.22/58.43 Stopped by limit on insertions
% 58.22/58.43
% 58.22/58.43 Model 20 [ 5 113 231861 ] (0.00 seconds, 250000 Inserts)
% 58.22/58.43
% 58.22/58.43 Stopped by limit on insertions
% 58.22/58.43
% 58.22/58.43 Stopped by limit on insertions
% 58.22/58.43
% 58.22/58.43 Model 21 [ 6 2 1030 ] (0.00 seconds, 250000 Inserts)
% 58.22/58.43
% 58.22/58.43 Stopped by limit on insertions
% 58.22/58.43
% 58.22/58.43 Model 22 [ 6 14 27219 ] (0.00 seconds, 250000 Inserts)
% 58.22/58.43
% 58.22/58.43 Stopped by limit on insertions
% 58.22/58.43
% 58.22/58.43 Model 23 [ 35 5 4921 ] (0.00 seconds, 250000 Inserts)
% 58.22/58.43
% 58.22/58.43 Stopped by limit on insertions
% 58.22/58.43
% 58.22/58.43 Stopped by limit on insertions
% 58.22/58.43
% 58.22/58.43 Model 24 [ 7 121 153919 ] (0.00 seconds, 250000 Inserts)
% 58.22/58.43
% 58.22/58.43 Stopped by limit on insertions
% 58.22/58.43
% 58.22/58.43 Model 25 [ 8 3 939 ] (0.00 seconds, 250000 Inserts)
% 58.22/58.43
% 58.22/58.43 Stopped by limit on insertions
% 58.22/58.43
% 58.22/58.43 Model 26 [ 36 25 30385 ] (0.00 seconds, 250000 Inserts)
% 58.22/58.43
% 58.22/58.43 Stopped by limit on insertions
% 58.22/58.43
% 58.22/58.43 Model 27 [ 8 164 178782 ] (0.00 seconds, 250000 Inserts)
% 58.22/58.43
% 58.22/58.43 Stopped by limit on insertions
% 58.22/58.43
% 58.22/58.43 Model 28 [ 8 6 4337 ] (0.00 seconds, 250000 Inserts)
% 58.22/58.43
% 58.22/58.43 Stopped by limit on insertions
% 58.22/58.43
% 58.22/58.43 Model 29 [ 28 171 191423 ] (0.00 seconds, 250000 Inserts)
% 58.22/58.43
% 58.22/58.43 Stopped by limit on insertions
% 58.22/58.43
% 58.22/58.43 Model 30 [ 37 18 15045 ] (0.00 seconds, 250000 Inserts)
% 58.22/58.43
% 58.22/58.43 Stopped by limit on insertions
% 58.22/58.43
% 58.22/58.43 Model 31 [ 32 204 226835 ] (0.00 seconds, 250000 Inserts)
% 58.22/58.43
% 58.22/58.43 Stopped by limit on insertions
% 58.22/58.43
% 58.22/58.43 Stopped by limit on insertions
% 58.22/58.43
% 58.22/58.43 Model 32 [ 9 9 5702 ] (0.00 seconds, 250000 Inserts)
% 58.22/58.43
% 58.22/58.43 Stopped by limit on insertions
% 58.22/58.43
% 58.22/58.43 Model 33 [ 11 100 104349 ] (0.00 seconds, 250000 Inserts)
% 58.22/58.43
% 58.22/58.43 Stopped by limit on insertions
% 58.22/58.43
% 58.22/58.43 Model 34 [ 9 130 82987 ] (0.00 seconds, 250000 Inserts)
% 58.22/58.43
% 58.22/58.43 Stopped by limit on insertions
% 58.22/58.43
% 58.22/58.43 Model 35 [ 10 38 20902 ] (0.00 seconds, 250000 Inserts)
% 58.22/58.43
% 58.22/58.43 Stopped by limit on insertions
% 58.22/58.43
% 58.22/58.43 Stopped by limit on insertions
% 58.22/58.43
% 58.22/58.43 Model 36 [ 10 95 58551 ] (0.00 seconds, 250000 Inserts)
% 58.22/58.43
% 58.22/58.43 Stopped by limit on insertions
% 58.22/58.43
% 58.22/58.43 Model 37 [ 12 241 225876 ] (0.00 seconds, 250000 Inserts)
% 58.22/58.43
% 58.22/58.43 Stopped by limit on insertions
% 58.22/58.43
% 58.22/58.43 Resetting weight limit to 36 after 255 givens.
% 58.22/58.43
% 67.93/68.12
% 67.93/68.12
% 67.93/68.12 Changing weight limit from 36 to 32.
% 67.93/68.12
% 67.93/68.12 Stopped by limit on insertions
% 67.93/68.12
% 67.93/68.12 Model 38 [ 13 9 255 ] (0.00 seconds, 250000 Inserts)
% 67.93/68.12
% 67.93/68.12 Stopped by limit on insertions
% 67.93/68.12
% 67.93/68.12 Model 39 [ 13 21 11595 ] (0.00 seconds, 250000 Inserts)
% 67.93/68.12
% 67.93/68.12 Stopped by limit on insertions
% 67.93/68.12
% 67.93/68.12 Model 40 [ 12 14 2813 ] (0.00 seconds, 250000 Inserts)
% 67.93/68.12
% 67.93/68.12 Resetting weight limit to 32 after 280 givens.
% 67.93/68.12
% 68.00/68.18
% 68.00/68.18
% 68.00/68.18 Changing weight limit from 32 to 23.
% 68.00/68.18
% 68.00/68.18 Resetting weight limit to 23 after 285 givens.
% 68.00/68.18
% 68.00/68.24
% 68.00/68.24
% 68.00/68.24 Changing weight limit from 23 to 21.
% 68.00/68.24
% 68.00/68.24 Resetting weight limit to 21 after 290 givens.
% 68.00/68.24
% 68.10/68.28
% 68.10/68.28
% 68.10/68.28 Changing weight limit from 21 to 18.
% 68.10/68.28
% 68.10/68.28 Resetting weight limit to 18 after 300 givens.
% 68.10/68.28
% 68.15/68.36
% 68.15/68.36
% 68.15/68.36 Changing weight limit from 18 to 16.
% 68.15/68.36
% 68.15/68.36 Resetting weight limit to 16 after 310 givens.
% 68.15/68.36
% 68.23/68.43
% 68.23/68.43
% 68.23/68.43 Changing weight limit from 16 to 15.
% 68.23/68.43
% 68.23/68.43 Resetting weight limit to 15 after 325 givens.
% 68.23/68.43
% 68.52/68.71
% 68.52/68.71
% 68.52/68.71 Changing weight limit from 15 to 14.
% 68.52/68.71
% 68.52/68.71 Resetting weight limit to 14 after 375 givens.
% 68.52/68.71
% 69.22/69.41
% 69.22/69.41
% 69.22/69.41 Changing weight limit from 14 to 13.
% 69.22/69.41
% 69.22/69.41 Modelling stopped after 300 given clauses and 0.00 seconds
% 69.22/69.41
% 69.22/69.41
% 69.22/69.41 Resetting weight limit to 13 after 640 givens.
% 69.22/69.41
% 69.27/69.44
% 69.27/69.44 -- HEY sandbox, WE HAVE A PROOF!! --
% 69.27/69.44
% 69.27/69.44 ----> UNIT CONFLICT at 69.00 sec ----> 16615 [binary,16614.1,3.1] {-} $F.
% 69.27/69.44
% 69.27/69.44 Length of proof is 25. Level of proof is 13.
% 69.27/69.44
% 69.27/69.44 ---------------- PROOF ----------------
% 69.27/69.44 % SZS status Unsatisfiable
% 69.27/69.44 % SZS output start Refutation
% 69.27/69.44
% 69.27/69.44 1 [] {+} theorem(A)| -axiom(A).
% 69.27/69.44 2 [] {+} theorem(A)| -theorem(implies(B,A))| -theorem(B).
% 69.27/69.44 3 [] {+} -theorem(implies(implies(implies(p,q),q),or(p,q))).
% 69.27/69.44 4 [] {+} axiom(implies(or(A,A),A)).
% 69.27/69.44 5 [] {+} axiom(implies(A,or(B,A))).
% 69.27/69.44 6 [] {+} axiom(implies(or(A,B),or(B,A))).
% 69.27/69.44 7 [] {-} axiom(implies(or(A,or(B,C)),or(B,or(A,C)))).
% 69.27/69.44 8 [] {+} axiom(implies(implies(A,B),implies(or(C,A),or(C,B)))).
% 69.27/69.44 9 [] {-} implies(A,B)=or(not(A),B).
% 69.27/69.44 11,10 [copy,9,flip.1] {+} or(not(A),B)=implies(A,B).
% 69.27/69.44 13 [hyper,4,1] {+} theorem(implies(or(A,A),A)).
% 69.27/69.44 14 [hyper,5,1] {+} theorem(implies(A,or(B,A))).
% 69.27/69.44 15 [hyper,6,1] {-} theorem(implies(or(A,B),or(B,A))).
% 69.27/69.44 20 [hyper,7,1] {+} theorem(implies(or(A,or(B,C)),or(B,or(A,C)))).
% 69.27/69.44 23 [para_into,15.1.1.1,10.1.1] {-} theorem(implies(implies(A,B),or(B,not(A)))).
% 69.27/69.44 27 [hyper,8,1] {+} theorem(implies(implies(A,B),implies(or(C,A),or(C,B)))).
% 69.27/69.44 33 [hyper,14,2,23] {+} theorem(or(or(A,B),not(B))).
% 69.27/69.44 50 [hyper,33,2,14] {+} theorem(or(A,or(or(B,C),not(C)))).
% 69.27/69.44 57 [para_into,20.1.1.1.2,10.1.1,demod,11] {-} theorem(implies(or(A,implies(B,C)),implies(B,or(A,C)))).
% 69.27/69.44 58 [para_into,20.1.1.1,10.1.1,demod,11] {-} theorem(implies(implies(A,or(B,C)),or(B,implies(A,C)))).
% 69.27/69.44 100 [hyper,27,2,15] {-} theorem(implies(or(A,or(B,C)),or(A,or(C,B)))).
% 69.27/69.44 206 [para_into,100.1.1.1,10.1.1,demod,11] {-} theorem(implies(implies(A,or(B,C)),implies(A,or(C,B)))).
% 69.27/69.44 234 [hyper,206,2,14] {+} theorem(implies(A,or(A,B))).
% 69.27/69.44 317 [hyper,50,2,20] {-} theorem(or(or(A,B),or(C,not(B)))).
% 69.27/69.44 351 [hyper,317,2,100,demod,11] {+} theorem(or(or(A,B),implies(B,C))).
% 69.27/69.44 364 [para_into,351.1.1.1,10.1.1] {+} theorem(or(implies(A,B),implies(B,C))).
% 69.27/69.44 371 [hyper,364,2,13] {+} theorem(implies(A,A)).
% 69.27/69.44 592 [hyper,58,2,371] {+} theorem(or(A,implies(or(A,B),B))).
% 69.27/69.44 593 [hyper,58,2,234] {+} theorem(or(A,implies(A,B))).
% 69.27/69.44 607 [para_into,592.1.1.2.1,10.1.1,demod,11] {-} theorem(implies(A,implies(implies(A,B),B))).
% 69.27/69.44 613 [hyper,607,2,27] {-} theorem(implies(or(A,B),or(A,implies(implies(B,C),C)))).
% 69.27/69.44 767 [hyper,593,2,607] {-} theorem(implies(implies(or(A,implies(A,B)),C),C)).
% 69.27/69.44 15131 [hyper,613,2,767] {-} theorem(or(A,implies(implies(implies(A,B),C),C))).
% 69.27/69.44 16614 [hyper,15131,2,57] {-} theorem(implies(implies(implies(A,B),C),or(A,C))).
% 69.27/69.44 16615 [binary,16614.1,3.1] {-} $F.
% 69.27/69.44
% 69.27/69.44 % SZS output end Refutation
% 69.27/69.44 ------------ end of proof -------------
% 69.27/69.44
% 69.27/69.44
% 69.27/69.44 Search stopped by max_proofs option.
% 69.27/69.44
% 69.27/69.44
% 69.27/69.44 Search stopped by max_proofs option.
% 69.27/69.44
% 69.27/69.44 ============ end of search ============
% 69.27/69.44
% 69.27/69.44 ----------- soft-scott stats ----------
% 69.27/69.44
% 69.27/69.44 true clauses given 219 (33.2%)
% 69.27/69.44 false clauses given 440
% 69.27/69.44
% 69.27/69.44 FALSE TRUE
% 69.27/69.44 8 0 3
% 69.27/69.44 9 0 50
% 69.27/69.44 10 39 453
% 69.27/69.44 11 128 728
% 69.27/69.44 12 759 1279
% 69.27/69.44 13 1647 7
% 69.27/69.44 tot: 2573 2520 (49.5% true)
% 69.27/69.44
% 69.27/69.44
% 69.27/69.44 Model 40 [ 12 14 2813 ] (0.00 seconds, 250000 Inserts)
% 69.27/69.44
% 69.27/69.44 That finishes the proof of the theorem.
% 69.27/69.44
% 69.27/69.44 Process 2872 finished Sun Jul 3 22:45:51 2022
%------------------------------------------------------------------------------