TSTP Solution File: LCL208-3 by SOS---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : LCL208-3 : TPTP v8.1.0. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : sos-script %s
% Computer : n024.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 14:28:41 EDT 2022
% Result : Unsatisfiable 7.68s 7.91s
% Output : Refutation 7.68s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : LCL208-3 : TPTP v8.1.0. Released v2.3.0.
% 0.06/0.11 % Command : sos-script %s
% 0.11/0.32 % Computer : n024.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 600
% 0.11/0.32 % DateTime : Sat Jul 2 16:17:00 EDT 2022
% 0.11/0.32 % CPUTime :
% 0.11/0.34 ----- Otter 3.2, August 2001 -----
% 0.11/0.34 The process was started by sandbox on n024.cluster.edu,
% 0.11/0.34 Sat Jul 2 16:17:00 2022
% 0.11/0.34 The command was "./sos". The process ID is 30748.
% 0.11/0.34
% 0.11/0.34 set(prolog_style_variables).
% 0.11/0.34 set(auto).
% 0.11/0.34 dependent: set(auto1).
% 0.11/0.34 dependent: set(process_input).
% 0.11/0.34 dependent: clear(print_kept).
% 0.11/0.34 dependent: clear(print_new_demod).
% 0.11/0.34 dependent: clear(print_back_demod).
% 0.11/0.34 dependent: clear(print_back_sub).
% 0.11/0.34 dependent: set(control_memory).
% 0.11/0.34 dependent: assign(max_mem, 12000).
% 0.11/0.34 dependent: assign(pick_given_ratio, 4).
% 0.11/0.34 dependent: assign(stats_level, 1).
% 0.11/0.34 dependent: assign(pick_semantic_ratio, 3).
% 0.11/0.34 dependent: assign(sos_limit, 5000).
% 0.11/0.34 dependent: assign(max_weight, 60).
% 0.11/0.34 clear(print_given).
% 0.11/0.34
% 0.11/0.34 list(usable).
% 0.11/0.34
% 0.11/0.34 SCAN INPUT: prop=0, horn=1, equality=1, symmetry=0, max_lits=3.
% 0.11/0.34
% 0.11/0.34 This is a Horn set with equality. The strategy will be
% 0.11/0.34 Knuth-Bendix and hyper_res, with positive clauses in
% 0.11/0.34 sos and nonpositive clauses in usable.
% 0.11/0.34
% 0.11/0.34 dependent: set(knuth_bendix).
% 0.11/0.34 dependent: set(para_from).
% 0.11/0.34 dependent: set(para_into).
% 0.11/0.34 dependent: clear(para_from_right).
% 0.11/0.34 dependent: clear(para_into_right).
% 0.11/0.34 dependent: set(para_from_vars).
% 0.11/0.34 dependent: set(eq_units_both_ways).
% 0.11/0.34 dependent: set(dynamic_demod_all).
% 0.11/0.34 dependent: set(dynamic_demod).
% 0.11/0.34 dependent: set(order_eq).
% 0.11/0.34 dependent: set(back_demod).
% 0.11/0.34 dependent: set(lrpo).
% 0.11/0.34 dependent: set(hyper_res).
% 0.11/0.34 dependent: clear(order_hyper).
% 0.11/0.34
% 0.11/0.34 ------------> process usable:
% 0.11/0.34
% 0.11/0.34 ------------> process sos:
% 0.11/0.34 Following clause subsumed by 12 during input processing: 0 [copy,12,flip.1] {-} A=A.
% 0.11/0.34
% 0.11/0.34 ======= end of input processing =======
% 0.11/0.38
% 0.11/0.38 Model 1 (0.00 seconds, 0 Inserts)
% 0.11/0.38
% 0.11/0.38 Stopped by limit on number of solutions
% 0.11/0.38
% 0.11/0.38
% 0.11/0.38 -------------- Softie stats --------------
% 0.11/0.38
% 0.11/0.38 UPDATE_STOP: 300
% 0.11/0.38 SFINDER_TIME_LIMIT: 2
% 0.11/0.38 SHORT_CLAUSE_CUTOFF: 4
% 0.11/0.38 number of clauses in intial UL: 3
% 0.11/0.38 number of clauses initially in problem: 11
% 0.11/0.38 percentage of clauses intially in UL: 27
% 0.11/0.38 percentage of distinct symbols occuring in initial UL: 87
% 0.11/0.38 percent of all initial clauses that are short: 100
% 0.11/0.38 absolute distinct symbol count: 8
% 0.11/0.38 distinct predicate count: 3
% 0.11/0.38 distinct function count: 3
% 0.11/0.38 distinct constant count: 2
% 0.11/0.38
% 0.11/0.38 ---------- no more Softie stats ----------
% 0.11/0.38
% 0.11/0.38
% 0.11/0.38
% 0.11/0.38 Model 2 (0.00 seconds, 0 Inserts)
% 0.11/0.38
% 0.11/0.38 Stopped by limit on number of solutions
% 0.11/0.38
% 0.11/0.38 =========== start of search ===========
% 2.54/2.73
% 2.54/2.73
% 2.54/2.73 Changing weight limit from 60 to 32.
% 2.54/2.73
% 2.54/2.73 Model 3 (0.00 seconds, 0 Inserts)
% 2.54/2.73
% 2.54/2.73 Stopped by limit on number of solutions
% 2.54/2.73
% 2.54/2.73 Model 4 (0.00 seconds, 0 Inserts)
% 2.54/2.73
% 2.54/2.73 Stopped by limit on number of solutions
% 2.54/2.73
% 2.54/2.73 Stopped by limit on insertions
% 2.54/2.73
% 2.54/2.73 Model 5 [ 21 0 138 ] (0.00 seconds, 250000 Inserts)
% 2.54/2.73
% 2.54/2.73 Stopped by limit on insertions
% 2.54/2.73
% 2.54/2.73 Model 6 [ 1 1 6617 ] (0.00 seconds, 250000 Inserts)
% 2.54/2.73
% 2.54/2.73 Stopped by limit on insertions
% 2.54/2.73
% 2.54/2.73 Model 7 [ 1 0 437 ] (0.00 seconds, 250000 Inserts)
% 2.54/2.73
% 2.54/2.73 Stopped by limit on insertions
% 2.54/2.73
% 2.54/2.73 Model 8 [ 1 0 93 ] (0.00 seconds, 250000 Inserts)
% 2.54/2.73
% 2.54/2.73 Stopped by limit on insertions
% 2.54/2.73
% 2.54/2.73 Model 9 [ 30 19 247982 ] (0.00 seconds, 250000 Inserts)
% 2.54/2.73
% 2.54/2.73 Stopped by limit on insertions
% 2.54/2.73
% 2.54/2.73 Model 10 [ 31 5 47102 ] (0.00 seconds, 250000 Inserts)
% 2.54/2.73
% 2.54/2.73 Stopped by limit on insertions
% 2.54/2.73
% 2.54/2.73 Model 11 [ 1 1 48 ] (0.00 seconds, 250000 Inserts)
% 2.54/2.73
% 2.54/2.73 Stopped by limit on insertions
% 2.54/2.73
% 2.54/2.73 Model 12 [ 1 1 1583 ] (0.00 seconds, 250000 Inserts)
% 2.54/2.73
% 2.54/2.73 Resetting weight limit to 32 after 175 givens.
% 2.54/2.73
% 2.54/2.74
% 2.54/2.74
% 2.54/2.74 Changing weight limit from 32 to 31.
% 2.54/2.74
% 2.54/2.74 Resetting weight limit to 31 after 180 givens.
% 2.54/2.74
% 3.02/3.22
% 3.02/3.22
% 3.02/3.22 Changing weight limit from 31 to 32.
% 3.02/3.22
% 3.02/3.22 Stopped by limit on insertions
% 3.02/3.22
% 3.02/3.22 Model 13 [ 2 1 3863 ] (0.00 seconds, 250000 Inserts)
% 3.02/3.22
% 3.02/3.22 Resetting weight limit to 32 after 190 givens.
% 3.02/3.22
% 3.89/4.09
% 3.89/4.09
% 3.89/4.09 Changing weight limit from 32 to 28.
% 3.89/4.09
% 3.89/4.09 Stopped by limit on insertions
% 3.89/4.09
% 3.89/4.09 Model 14 [ 1 1 2884 ] (0.00 seconds, 250000 Inserts)
% 3.89/4.09
% 3.89/4.09 Resetting weight limit to 28 after 280 givens.
% 3.89/4.09
% 4.10/4.31
% 4.10/4.31
% 4.10/4.31 Changing weight limit from 28 to 22.
% 4.10/4.31
% 4.10/4.31 Resetting weight limit to 22 after 290 givens.
% 4.10/4.31
% 4.17/4.35
% 4.17/4.35
% 4.17/4.35 Changing weight limit from 22 to 20.
% 4.17/4.35
% 4.17/4.35 Resetting weight limit to 20 after 295 givens.
% 4.17/4.35
% 4.17/4.37
% 4.17/4.37
% 4.17/4.37 Changing weight limit from 20 to 19.
% 4.17/4.37
% 4.17/4.37 Resetting weight limit to 19 after 300 givens.
% 4.17/4.37
% 4.28/4.48
% 4.28/4.48
% 4.28/4.48 Changing weight limit from 19 to 18.
% 4.28/4.48
% 4.28/4.48 Resetting weight limit to 18 after 310 givens.
% 4.28/4.48
% 4.39/4.57
% 4.39/4.57
% 4.39/4.57 Changing weight limit from 18 to 17.
% 4.39/4.57
% 4.39/4.57 Resetting weight limit to 17 after 330 givens.
% 4.39/4.57
% 4.66/4.85
% 4.66/4.85
% 4.66/4.85 Changing weight limit from 17 to 16.
% 4.66/4.85
% 4.66/4.85 Resetting weight limit to 16 after 360 givens.
% 4.66/4.85
% 4.77/4.96
% 4.77/4.96
% 4.77/4.96 Changing weight limit from 16 to 15.
% 4.77/4.96
% 4.77/4.96 Resetting weight limit to 15 after 385 givens.
% 4.77/4.96
% 5.57/5.83
% 5.57/5.83
% 5.57/5.83 Changing weight limit from 15 to 14.
% 5.57/5.83
% 5.57/5.83 Modelling stopped after 300 given clauses and 0.00 seconds
% 5.57/5.83
% 5.57/5.83
% 5.57/5.83 Resetting weight limit to 14 after 625 givens.
% 5.57/5.83
% 7.68/7.91
% 7.68/7.91 -------- PROOF --------
% 7.68/7.91 % SZS status Unsatisfiable
% 7.68/7.91 % SZS output start Refutation
% 7.68/7.91
% 7.68/7.91 ----> UNIT CONFLICT at 7.39 sec ----> 42076 [binary,42075.1,3.1] {+} $F.
% 7.68/7.91
% 7.68/7.91 Length of proof is 41. Level of proof is 17.
% 7.68/7.91
% 7.68/7.91 ---------------- PROOF ----------------
% 7.68/7.91 % SZS status Unsatisfiable
% 7.68/7.91 % SZS output start Refutation
% 7.68/7.91
% 7.68/7.91 1 [] {+} theorem(A)| -axiom(A).
% 7.68/7.91 2 [] {+} theorem(A)| -theorem(implies(B,A))| -theorem(B).
% 7.68/7.91 3 [] {+} -theorem(implies(or(p,q),implies(not(p),q))).
% 7.68/7.91 4 [] {+} axiom(implies(or(A,A),A)).
% 7.68/7.91 5 [] {+} axiom(implies(A,or(B,A))).
% 7.68/7.91 6 [] {+} axiom(implies(or(A,B),or(B,A))).
% 7.68/7.91 7 [] {-} axiom(implies(or(A,or(B,C)),or(B,or(A,C)))).
% 7.68/7.91 8 [] {-} axiom(implies(implies(A,B),implies(or(C,A),or(C,B)))).
% 7.68/7.91 9 [] {-} implies(A,B)=or(not(A),B).
% 7.68/7.91 11,10 [copy,9,flip.1] {+} or(not(A),B)=implies(A,B).
% 7.68/7.91 13 [hyper,4,1] {+} theorem(implies(or(A,A),A)).
% 7.68/7.91 14 [hyper,5,1] {+} theorem(implies(A,or(B,A))).
% 7.68/7.91 15 [hyper,6,1] {+} theorem(implies(or(A,B),or(B,A))).
% 7.68/7.91 17 [para_from,10.1.1,6.1.1.2] {-} axiom(implies(or(A,not(B)),implies(B,A))).
% 7.68/7.91 18 [para_from,10.1.1,5.1.1.2] {+} axiom(implies(A,implies(B,A))).
% 7.68/7.91 20 [hyper,7,1] {-} theorem(implies(or(A,or(B,C)),or(B,or(A,C)))).
% 7.68/7.91 23 [para_into,13.1.1.1,10.1.1] {+} theorem(implies(implies(A,not(A)),not(A))).
% 7.68/7.91 24 [hyper,18,1] {+} theorem(implies(A,implies(B,A))).
% 7.68/7.91 27 [hyper,17,1] {-} theorem(implies(or(A,not(B)),implies(B,A))).
% 7.68/7.91 29 [hyper,8,1] {-} theorem(implies(implies(A,B),implies(or(C,A),or(C,B)))).
% 7.68/7.91 32 [para_into,27.1.1.1,10.1.1] {-} theorem(implies(implies(A,not(B)),implies(B,not(A)))).
% 7.68/7.91 43 [para_into,15.1.1.1,10.1.1] {+} theorem(implies(implies(A,B),or(B,not(A)))).
% 7.68/7.91 77 [para_into,20.1.1.1.2,10.1.1,demod,11] {-} theorem(implies(or(A,implies(B,C)),implies(B,or(A,C)))).
% 7.68/7.91 78 [para_into,20.1.1.1,10.1.1,demod,11] {+} theorem(implies(implies(A,or(B,C)),or(B,implies(A,C)))).
% 7.68/7.91 89 [hyper,29,2,27] {-} theorem(implies(or(A,or(B,not(C))),or(A,implies(C,B)))).
% 7.68/7.91 91 [hyper,29,2,23] {+} theorem(implies(or(A,implies(B,not(B))),or(A,not(B)))).
% 7.68/7.91 94 [hyper,29,2,14] {-} theorem(implies(or(A,B),or(A,or(C,B)))).
% 7.68/7.91 377 [hyper,43,2,24] {+} theorem(or(implies(A,B),not(B))).
% 7.68/7.91 379 [hyper,43,2,15] {+} theorem(or(or(A,B),not(or(B,A)))).
% 7.68/7.91 458 [hyper,377,2,94] {+} theorem(or(implies(A,B),or(C,not(B)))).
% 7.68/7.91 1551 [hyper,379,2,94] {-} theorem(or(or(A,B),or(C,not(or(B,A))))).
% 7.68/7.91 1618 [hyper,458,2,89] {+} theorem(or(implies(A,B),implies(B,C))).
% 7.68/7.91 1745 [hyper,1618,2,13] {+} theorem(implies(A,A)).
% 7.68/7.91 1793 [hyper,1745,2,32] {+} theorem(implies(A,not(not(A)))).
% 7.68/7.91 1984 [hyper,1551,2,89] {-} theorem(or(or(A,B),implies(or(B,A),C))).
% 7.68/7.91 2027 [hyper,1984,2,15] {-} theorem(or(implies(or(A,B),C),or(B,A))).
% 7.68/7.91 2048 [hyper,2027,2,20] {-} theorem(or(A,or(implies(or(B,A),C),B))).
% 7.68/7.91 2070 [hyper,2048,2,15] {-} theorem(or(or(implies(or(A,B),C),A),B)).
% 7.68/7.91 2107 [para_into,77.1.1.1,10.1.1,demod,11] {+} theorem(implies(implies(A,implies(B,C)),implies(B,implies(A,C)))).
% 7.68/7.91 2207 [hyper,1793,2,29] {-} theorem(implies(or(A,B),or(A,not(not(B))))).
% 7.68/7.91 2374 [hyper,78,2,1745] {+} theorem(or(A,implies(or(A,B),B))).
% 7.68/7.91 3872 [hyper,2207,2,2070] {-} theorem(or(or(implies(or(A,B),C),A),not(not(B)))).
% 7.68/7.91 9053 [hyper,2374,2,15] {+} theorem(or(implies(or(A,B),B),A)).
% 7.68/7.91 11684 [hyper,3872,2,27] {-} theorem(implies(not(A),or(implies(or(B,A),C),B))).
% 7.68/7.91 11718 [hyper,11684,2,78] {-} theorem(or(implies(or(A,B),C),implies(not(B),A))).
% 7.68/7.91 11748 [hyper,11718,2,15] {-} theorem(or(implies(not(A),B),implies(or(B,A),C))).
% 7.68/7.91 11798 [hyper,11748,2,91] {-} theorem(or(implies(not(A),B),not(or(B,A)))).
% 7.68/7.91 11827 [hyper,11798,2,27] {-} theorem(implies(or(A,B),implies(not(B),A))).
% 7.68/7.91 14571 [hyper,9053,2,11827] {-} theorem(implies(not(A),implies(or(A,B),B))).
% 7.68/7.91 42075 [hyper,2107,2,14571] {-} theorem(implies(or(A,B),implies(not(A),B))).
% 7.68/7.91 42076 [binary,42075.1,3.1] {+} $F.
% 7.68/7.91
% 7.68/7.91 % SZS output end Refutation
% 7.68/7.91 ------------ end of proof -------------
% 7.68/7.91
% 7.68/7.91
% 7.68/7.91 Search stopped by max_proofs option.
% 7.68/7.91
% 7.68/7.91
% 7.68/7.91 Search stopped by max_proofs option.
% 7.68/7.91
% 7.68/7.91 ============ end of search ============
% 7.68/7.91
% 7.68/7.91 ----------- soft-scott stats ----------
% 7.68/7.91
% 7.68/7.91 true clauses given 554 (36.7%)
% 7.68/7.91 false clauses given 957
% 7.68/7.91
% 7.68/7.91 FALSE TRUE
% 7.68/7.91 9 0 16
% 7.68/7.91 10 0 724
% 7.68/7.91 11 0 1465
% 7.68/7.91 12 76 295
% 7.68/7.91 13 1845 0
% 7.68/7.91 14 593 0
% 7.68/7.91 tot: 2514 2500 (49.9% true)
% 7.68/7.91
% 7.68/7.91
% 7.68/7.91 Model 14 [ 1 1 2884 ] (0.00 seconds, 250000 Inserts)
% 7.68/7.91
% 7.68/7.91 That finishes the proof of the theorem.
% 7.68/7.91
% 7.68/7.91 Process 30748 finished Sat Jul 2 16:17:07 2022
%------------------------------------------------------------------------------