TSTP Solution File: LCL323-3 by SOS---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : LCL323-3 : TPTP v8.1.0. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : sos-script %s
% Computer : n019.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 14:29:30 EDT 2022
% Result : Unsatisfiable 9.85s 10.04s
% Output : Refutation 9.85s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LCL323-3 : TPTP v8.1.0. Released v2.3.0.
% 0.12/0.13 % Command : sos-script %s
% 0.12/0.34 % Computer : n019.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Sat Jul 2 22:45:23 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.36 ----- Otter 3.2, August 2001 -----
% 0.19/0.36 The process was started by sandbox on n019.cluster.edu,
% 0.19/0.36 Sat Jul 2 22:45:23 2022
% 0.19/0.36 The command was "./sos". The process ID is 27204.
% 0.19/0.36
% 0.19/0.36 set(prolog_style_variables).
% 0.19/0.36 set(auto).
% 0.19/0.36 dependent: set(auto1).
% 0.19/0.36 dependent: set(process_input).
% 0.19/0.36 dependent: clear(print_kept).
% 0.19/0.36 dependent: clear(print_new_demod).
% 0.19/0.36 dependent: clear(print_back_demod).
% 0.19/0.36 dependent: clear(print_back_sub).
% 0.19/0.36 dependent: set(control_memory).
% 0.19/0.36 dependent: assign(max_mem, 12000).
% 0.19/0.36 dependent: assign(pick_given_ratio, 4).
% 0.19/0.36 dependent: assign(stats_level, 1).
% 0.19/0.36 dependent: assign(pick_semantic_ratio, 3).
% 0.19/0.36 dependent: assign(sos_limit, 5000).
% 0.19/0.36 dependent: assign(max_weight, 60).
% 0.19/0.36 clear(print_given).
% 0.19/0.36
% 0.19/0.36 list(usable).
% 0.19/0.36
% 0.19/0.36 SCAN INPUT: prop=0, horn=1, equality=1, symmetry=0, max_lits=3.
% 0.19/0.36
% 0.19/0.36 This is a Horn set with equality. The strategy will be
% 0.19/0.36 Knuth-Bendix and hyper_res, with positive clauses in
% 0.19/0.36 sos and nonpositive clauses in usable.
% 0.19/0.36
% 0.19/0.36 dependent: set(knuth_bendix).
% 0.19/0.36 dependent: set(para_from).
% 0.19/0.36 dependent: set(para_into).
% 0.19/0.36 dependent: clear(para_from_right).
% 0.19/0.36 dependent: clear(para_into_right).
% 0.19/0.36 dependent: set(para_from_vars).
% 0.19/0.36 dependent: set(eq_units_both_ways).
% 0.19/0.36 dependent: set(dynamic_demod_all).
% 0.19/0.36 dependent: set(dynamic_demod).
% 0.19/0.36 dependent: set(order_eq).
% 0.19/0.36 dependent: set(back_demod).
% 0.19/0.36 dependent: set(lrpo).
% 0.19/0.36 dependent: set(hyper_res).
% 0.19/0.36 dependent: clear(order_hyper).
% 0.19/0.36
% 0.19/0.36 ------------> process usable:
% 0.19/0.36
% 0.19/0.36 ------------> process sos:
% 0.19/0.36 Following clause subsumed by 12 during input processing: 0 [copy,12,flip.1] {-} A=A.
% 0.19/0.36
% 0.19/0.36 ======= 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: 77
% 0.19/0.40 percent of all initial clauses that are short: 100
% 0.19/0.40 absolute distinct symbol count: 9
% 0.19/0.40 distinct predicate count: 3
% 0.19/0.40 distinct function count: 3
% 0.19/0.40 distinct constant count: 3
% 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 ===========
% 8.40/8.60
% 8.40/8.60
% 8.40/8.60 Changing weight limit from 60 to 32.
% 8.40/8.60
% 8.40/8.60 Model 3 (0.00 seconds, 0 Inserts)
% 8.40/8.60
% 8.40/8.60 Stopped by limit on number of solutions
% 8.40/8.60
% 8.40/8.60 Model 4 (0.00 seconds, 0 Inserts)
% 8.40/8.60
% 8.40/8.60 Stopped by limit on number of solutions
% 8.40/8.60
% 8.40/8.60 Stopped by limit on insertions
% 8.40/8.60
% 8.40/8.60 Model 5 [ 1 1 5670 ] (0.00 seconds, 250000 Inserts)
% 8.40/8.60
% 8.40/8.60 Stopped by limit on insertions
% 8.40/8.60
% 8.40/8.60 Stopped by limit on insertions
% 8.40/8.60
% 8.40/8.60 Model 6 [ 1 3 32124 ] (0.00 seconds, 250000 Inserts)
% 8.40/8.60
% 8.40/8.60 Stopped by limit on insertions
% 8.40/8.60
% 8.40/8.60 Model 7 [ 1 1 99 ] (0.00 seconds, 250000 Inserts)
% 8.40/8.60
% 8.40/8.60 Stopped by limit on insertions
% 8.40/8.60
% 8.40/8.60 Model 8 [ 1 1 1038 ] (0.00 seconds, 250000 Inserts)
% 8.40/8.60
% 8.40/8.60 Stopped by limit on insertions
% 8.40/8.60
% 8.40/8.60 Model 9 [ 2 21 133270 ] (0.00 seconds, 250000 Inserts)
% 8.40/8.60
% 8.40/8.60 Stopped by limit on insertions
% 8.40/8.60
% 8.40/8.60 Stopped by limit on insertions
% 8.40/8.60
% 8.40/8.60 Model 10 [ 23 18 100082 ] (0.00 seconds, 250000 Inserts)
% 8.40/8.60
% 8.40/8.60 Stopped by limit on insertions
% 8.40/8.60
% 8.40/8.60 Stopped by limit on insertions
% 8.40/8.60
% 8.40/8.60 Model 11 [ 2 40 224699 ] (0.00 seconds, 250000 Inserts)
% 8.40/8.60
% 8.40/8.60 Stopped by limit on insertions
% 8.40/8.60
% 8.40/8.60 Stopped by limit on insertions
% 8.40/8.60
% 8.40/8.60 Model 12 [ 23 27 106272 ] (0.00 seconds, 250000 Inserts)
% 8.40/8.60
% 8.40/8.60 Stopped by limit on insertions
% 8.40/8.60
% 8.40/8.60 Model 13 [ 2 5 14267 ] (0.00 seconds, 250000 Inserts)
% 8.40/8.60
% 8.40/8.60 Stopped by limit on insertions
% 8.40/8.60
% 8.40/8.60 Model 14 [ 4 21 86334 ] (0.00 seconds, 250000 Inserts)
% 8.40/8.60
% 8.40/8.60 Stopped by limit on insertions
% 8.40/8.60
% 8.40/8.60 Model 15 [ 3 2 3243 ] (0.00 seconds, 250000 Inserts)
% 8.40/8.60
% 8.40/8.60 Resetting weight limit to 32 after 225 givens.
% 8.40/8.60
% 8.71/8.91
% 8.71/8.91
% 8.71/8.91 Changing weight limit from 32 to 20.
% 8.71/8.91
% 8.71/8.91 Resetting weight limit to 20 after 250 givens.
% 8.71/8.91
% 8.82/9.01
% 8.82/9.01
% 8.82/9.01 Changing weight limit from 20 to 19.
% 8.82/9.01
% 8.82/9.01 Resetting weight limit to 19 after 255 givens.
% 8.82/9.01
% 8.84/9.09
% 8.84/9.09
% 8.84/9.09 Changing weight limit from 19 to 18.
% 8.84/9.09
% 8.84/9.09 Resetting weight limit to 18 after 260 givens.
% 8.84/9.09
% 8.93/9.14
% 8.93/9.14
% 8.93/9.14 Changing weight limit from 18 to 17.
% 8.93/9.14
% 8.93/9.14 Resetting weight limit to 17 after 265 givens.
% 8.93/9.14
% 9.01/9.25
% 9.01/9.25
% 9.01/9.25 Changing weight limit from 17 to 16.
% 9.01/9.25
% 9.01/9.25 Resetting weight limit to 16 after 270 givens.
% 9.01/9.25
% 9.25/9.44
% 9.25/9.44
% 9.25/9.44 Changing weight limit from 16 to 15.
% 9.25/9.44
% 9.25/9.44 Resetting weight limit to 15 after 290 givens.
% 9.25/9.44
% 9.45/9.68
% 9.45/9.68
% 9.45/9.68 Changing weight limit from 15 to 14.
% 9.45/9.68
% 9.45/9.68 Resetting weight limit to 14 after 385 givens.
% 9.45/9.68
% 9.85/10.04
% 9.85/10.04 -------- PROOF --------
% 9.85/10.04 % SZS status Unsatisfiable
% 9.85/10.04 % SZS output start Refutation
% 9.85/10.04
% 9.85/10.04 Modelling stopped after 300 given clauses and 0.00 seconds
% 9.85/10.04
% 9.85/10.04
% 9.85/10.04 ----> UNIT CONFLICT at 9.62 sec ----> 14761 [binary,14760.1,3.1] {+} $F.
% 9.85/10.04
% 9.85/10.04 Length of proof is 25. Level of proof is 10.
% 9.85/10.04
% 9.85/10.04 ---------------- PROOF ----------------
% 9.85/10.04 % SZS status Unsatisfiable
% 9.85/10.04 % SZS output start Refutation
% 9.85/10.04
% 9.85/10.04 1 [] {+} theorem(A)| -axiom(A).
% 9.85/10.04 2 [] {+} theorem(A)| -theorem(implies(B,A))| -theorem(B).
% 9.85/10.04 3 [] {+} -theorem(or(implies(p,q),implies(q,r))).
% 9.85/10.04 4 [] {+} axiom(implies(or(A,A),A)).
% 9.85/10.04 5 [] {+} axiom(implies(A,or(B,A))).
% 9.85/10.04 6 [] {+} axiom(implies(or(A,B),or(B,A))).
% 9.85/10.04 7 [] {+} axiom(implies(or(A,or(B,C)),or(B,or(A,C)))).
% 9.85/10.04 8 [] {+} axiom(implies(implies(A,B),implies(or(C,A),or(C,B)))).
% 9.85/10.04 9 [] {-} implies(A,B)=or(not(A),B).
% 9.85/10.04 11,10 [copy,9,flip.1] {+} or(not(A),B)=implies(A,B).
% 9.85/10.04 13 [hyper,4,1] {+} theorem(implies(or(A,A),A)).
% 9.85/10.04 14 [hyper,5,1] {+} theorem(implies(A,or(B,A))).
% 9.85/10.04 15 [hyper,6,1] {-} theorem(implies(or(A,B),or(B,A))).
% 9.85/10.04 20 [hyper,7,1] {+} theorem(implies(or(A,or(B,C)),or(B,or(A,C)))).
% 9.85/10.04 23 [para_into,15.1.1.1,10.1.1] {+} theorem(implies(implies(A,B),or(B,not(A)))).
% 9.85/10.04 24 [para_into,15.1.1.2,10.1.1] {-} theorem(implies(or(A,not(B)),implies(B,A))).
% 9.85/10.04 28 [hyper,8,1] {-} theorem(implies(implies(A,B),implies(or(C,A),or(C,B)))).
% 9.85/10.04 34 [para_into,14.1.1.2,10.1.1] {+} theorem(implies(A,implies(B,A))).
% 9.85/10.04 71 [para_into,20.1.1.1.2,10.1.1,demod,11] {-} theorem(implies(or(A,implies(B,C)),implies(B,or(A,C)))).
% 9.85/10.04 72 [para_into,20.1.1.1,10.1.1,demod,11] {-} theorem(implies(implies(A,or(B,C)),or(B,implies(A,C)))).
% 9.85/10.04 95 [hyper,72,2,14] {+} theorem(or(A,implies(B,B))).
% 9.85/10.04 111 [hyper,95,2,13] {+} theorem(implies(A,A)).
% 9.85/10.04 117 [hyper,111,2,72] {+} theorem(or(A,implies(or(A,B),B))).
% 9.85/10.04 118 [hyper,111,2,23] {-} theorem(or(A,not(A))).
% 9.85/10.04 120 [hyper,118,2,14] {+} theorem(or(A,or(B,not(B)))).
% 9.85/10.04 170 [hyper,117,2,15] {+} theorem(or(implies(or(A,B),B),A)).
% 9.85/10.04 186 [hyper,28,2,34] {-} theorem(implies(or(A,B),or(A,implies(C,B)))).
% 9.85/10.04 189 [hyper,28,2,24] {-} theorem(implies(or(A,or(B,not(C))),or(A,implies(C,B)))).
% 9.85/10.04 366 [hyper,120,2,20] {+} theorem(or(A,or(B,not(A)))).
% 9.85/10.04 3007 [hyper,170,2,186] {-} theorem(or(implies(or(A,B),B),implies(C,A))).
% 9.85/10.04 4106 [hyper,3007,2,15] {-} theorem(or(implies(A,B),implies(or(B,C),C))).
% 9.85/10.04 6025 [hyper,4106,2,71] {-} theorem(implies(or(A,B),or(implies(C,A),B))).
% 9.85/10.04 14729 [hyper,189,2,366] {-} theorem(or(A,implies(A,B))).
% 9.85/10.04 14760 [hyper,14729,2,6025] {-} theorem(or(implies(A,B),implies(B,C))).
% 9.85/10.04 14761 [binary,14760.1,3.1] {+} $F.
% 9.85/10.04
% 9.85/10.04 % SZS output end Refutation
% 9.85/10.04 ------------ end of proof -------------
% 9.85/10.04
% 9.85/10.04
% 9.85/10.04 Search stopped by max_proofs option.
% 9.85/10.04
% 9.85/10.04
% 9.85/10.04 Search stopped by max_proofs option.
% 9.85/10.04
% 9.85/10.04 ============ end of search ============
% 9.85/10.04
% 9.85/10.04 ----------- soft-scott stats ----------
% 9.85/10.04
% 9.85/10.04 true clauses given 180 (34.8%)
% 9.85/10.04 false clauses given 337
% 9.85/10.04
% 9.85/10.04 FALSE TRUE
% 9.85/10.04 8 0 1
% 9.85/10.04 9 12 65
% 9.85/10.04 10 23 245
% 9.85/10.04 11 46 395
% 9.85/10.04 12 688 1001
% 9.85/10.04 13 854 798
% 9.85/10.04 14 915 2
% 9.85/10.04 tot: 2538 2507 (49.7% true)
% 9.85/10.04
% 9.85/10.04
% 9.85/10.04 Model 15 [ 3 2 3243 ] (0.00 seconds, 250000 Inserts)
% 9.85/10.04
% 9.85/10.04 That finishes the proof of the theorem.
% 9.85/10.04
% 9.85/10.04 Process 27204 finished Sat Jul 2 22:45:33 2022
%------------------------------------------------------------------------------