%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : LCL238-3 : TPTP v8.1.0. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : sos-script %s
% Computer : n013.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 14:29:00 EDT 2022
% Result : Unsatisfiable 8.20s 8.39s
% Output : Refutation 8.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : LCL238-3 : TPTP v8.1.0. Released v2.3.0.
% 0.11/0.13 % Command : sos-script %s
% 0.13/0.34 % Computer : n013.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 15:54:44 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.36 ----- Otter 3.2, August 2001 -----
% 0.13/0.36 The process was started by sandbox on n013.cluster.edu,
% 0.13/0.36 Sun Jul 3 15:54:44 2022
% 0.13/0.36 The command was "./sos". The process ID is 3038.
% 0.13/0.36
% 0.13/0.36 set(prolog_style_variables).
% 0.13/0.36 set(auto).
% 0.13/0.36 dependent: set(auto1).
% 0.13/0.36 dependent: set(process_input).
% 0.13/0.36 dependent: clear(print_kept).
% 0.13/0.36 dependent: clear(print_new_demod).
% 0.13/0.36 dependent: clear(print_back_demod).
% 0.13/0.36 dependent: clear(print_back_sub).
% 0.13/0.36 dependent: set(control_memory).
% 0.13/0.36 dependent: assign(max_mem, 12000).
% 0.13/0.36 dependent: assign(pick_given_ratio, 4).
% 0.13/0.36 dependent: assign(stats_level, 1).
% 0.13/0.36 dependent: assign(pick_semantic_ratio, 3).
% 0.13/0.36 dependent: assign(sos_limit, 5000).
% 0.13/0.36 dependent: assign(max_weight, 60).
% 0.13/0.36 clear(print_given).
% 0.13/0.36
% 0.13/0.36 list(usable).
% 0.13/0.36
% 0.13/0.36 SCAN INPUT: prop=0, horn=1, equality=1, symmetry=0, max_lits=3.
% 0.13/0.36
% 0.13/0.36 This is a Horn set with equality. The strategy will be
% 0.13/0.36 Knuth-Bendix and hyper_res, with positive clauses in
% 0.13/0.36 sos and nonpositive clauses in usable.
% 0.13/0.36
% 0.13/0.36 dependent: set(knuth_bendix).
% 0.13/0.36 dependent: set(para_from).
% 0.13/0.36 dependent: set(para_into).
% 0.13/0.36 dependent: clear(para_from_right).
% 0.13/0.36 dependent: clear(para_into_right).
% 0.13/0.36 dependent: set(para_from_vars).
% 0.13/0.36 dependent: set(eq_units_both_ways).
% 0.13/0.36 dependent: set(dynamic_demod_all).
% 0.13/0.36 dependent: set(dynamic_demod).
% 0.13/0.36 dependent: set(order_eq).
% 0.13/0.36 dependent: set(back_demod).
% 0.13/0.36 dependent: set(lrpo).
% 0.13/0.36 dependent: set(hyper_res).
% 0.13/0.36 dependent: clear(order_hyper).
% 0.13/0.36
% 0.13/0.36 ------------> process usable:
% 0.13/0.36
% 0.13/0.36 ------------> process sos:
% 0.13/0.36 Following clause subsumed by 15 during input processing: 0 [copy,15,flip.1] {-} A=A.
% 0.13/0.36
% 0.13/0.36 ======= end of input processing =======
% 0.13/0.40
% 0.13/0.40 Model 1 (0.00 seconds, 0 Inserts)
% 0.13/0.40
% 0.13/0.40 Stopped by limit on number of solutions
% 0.13/0.40
% 0.13/0.40
% 0.13/0.40 -------------- Softie stats --------------
% 0.13/0.40
% 0.13/0.40 UPDATE_STOP: 300
% 0.13/0.40 SFINDER_TIME_LIMIT: 2
% 0.13/0.40 SHORT_CLAUSE_CUTOFF: 4
% 0.13/0.40 number of clauses in intial UL: 3
% 0.13/0.40 number of clauses initially in problem: 13
% 0.13/0.40 percentage of clauses intially in UL: 23
% 0.13/0.40 percentage of distinct symbols occuring in initial UL: 66
% 0.13/0.40 percent of all initial clauses that are short: 100
% 0.13/0.40 absolute distinct symbol count: 9
% 0.13/0.40 distinct predicate count: 3
% 0.13/0.40 distinct function count: 4
% 0.13/0.40 distinct constant count: 2
% 0.13/0.40
% 0.13/0.40 ---------- no more Softie stats ----------
% 0.13/0.40
% 0.13/0.40
% 0.13/0.40
% 0.13/0.40 Model 2 (0.00 seconds, 0 Inserts)
% 0.13/0.40
% 0.13/0.40 Stopped by limit on number of solutions
% 0.13/0.40
% 0.13/0.40 =========== start of search ===========
% 8.20/8.38
% 8.20/8.38
% 8.20/8.38 Changing weight limit from 60 to 37.
% 8.20/8.38
% 8.20/8.38 Model 3 (0.00 seconds, 0 Inserts)
% 8.20/8.38
% 8.20/8.38 Stopped by limit on number of solutions
% 8.20/8.38
% 8.20/8.38 Stopped by limit on insertions
% 8.20/8.38
% 8.20/8.38 Model 4 [ 2 1 291 ] (0.00 seconds, 250000 Inserts)
% 8.20/8.38
% 8.20/8.38 Stopped by limit on insertions
% 8.20/8.38
% 8.20/8.38 Stopped by limit on insertions
% 8.20/8.38
% 8.20/8.38 Model 5 [ 21 0 276 ] (0.00 seconds, 250000 Inserts)
% 8.20/8.38
% 8.20/8.38 Stopped by limit on insertions
% 8.20/8.38
% 8.20/8.38 Model 6 [ 1 1 171 ] (0.00 seconds, 250000 Inserts)
% 8.20/8.38
% 8.20/8.38 Stopped by limit on insertions
% 8.20/8.38
% 8.20/8.38 Model 7 [ 27 1 65 ] (0.00 seconds, 250000 Inserts)
% 8.20/8.38
% 8.20/8.38 Stopped by limit on insertions
% 8.20/8.38
% 8.20/8.38 Stopped by limit on insertions
% 8.20/8.38
% 8.20/8.38 Model 8 [ 1 1 64 ] (0.00 seconds, 250000 Inserts)
% 8.20/8.38
% 8.20/8.38 Stopped by limit on insertions
% 8.20/8.38
% 8.20/8.38 Model 9 [ 5 1 98 ] (0.00 seconds, 250000 Inserts)
% 8.20/8.38
% 8.20/8.38 Stopped by limit on insertions
% 8.20/8.38
% 8.20/8.38 Model 10 [ 1 0 316 ] (0.00 seconds, 250000 Inserts)
% 8.20/8.38
% 8.20/8.38 Stopped by limit on insertions
% 8.20/8.38
% 8.20/8.38 Stopped by limit on insertions
% 8.20/8.38
% 8.20/8.38 Model 11 [ 1 3 35306 ] (0.00 seconds, 250000 Inserts)
% 8.20/8.38
% 8.20/8.38 Stopped by limit on insertions
% 8.20/8.38
% 8.20/8.38 Stopped by limit on insertions
% 8.20/8.38
% 8.20/8.38 Model 12 [ 10 0 153 ] (0.00 seconds, 250000 Inserts)
% 8.20/8.38
% 8.20/8.38 Model 13 (0.00 seconds, 250000 Inserts)
% 8.20/8.38
% 8.20/8.38 Stopped by limit on number of solutions
% 8.20/8.38
% 8.20/8.38 Model 14 (0.00 seconds, 250000 Inserts)
% 8.20/8.38
% 8.20/8.38 Stopped by limit on number of solutions
% 8.20/8.38
% 8.20/8.38 Stopped by limit on insertions
% 8.20/8.38
% 8.20/8.38 Model 15 [ 3 9 94626 ] (0.00 seconds, 250000 Inserts)
% 8.20/8.38
% 8.20/8.38 Stopped by limit on insertions
% 8.20/8.38
% 8.20/8.38 Model 16 [ 34 1 384 ] (0.00 seconds, 250000 Inserts)
% 8.20/8.38
% 8.20/8.38 Stopped by limit on insertions
% 8.20/8.38
% 8.20/8.38 Model 17 [ 36 15 118777 ] (0.00 seconds, 250000 Inserts)
% 8.20/8.38
% 8.20/8.38 Model 18 (0.00 seconds, 250000 Inserts)
% 8.20/8.38
% 8.20/8.38 Stopped by limit on number of solutions
% 8.20/8.38
% 8.20/8.38 Stopped by limit on insertions
% 8.20/8.38
% 8.20/8.38 Model 19 [ 35 6 36764 ] (0.00 seconds, 250000 Inserts)
% 8.20/8.38
% 8.20/8.38 Stopped by limit on insertions
% 8.20/8.38
% 8.20/8.38 Model 20 [ 36 21 163147 ] (0.00 seconds, 250000 Inserts)
% 8.20/8.38
% 8.20/8.38 Stopped by limit on insertions
% 8.20/8.38
% 8.20/8.38 Model 21 [ 36 0 318 ] (0.00 seconds, 250000 Inserts)
% 8.20/8.38
% 8.20/8.38 Stopped by limit on insertions
% 8.20/8.38
% 8.20/8.38 Model 22 [ 36 4 14168 ] (0.00 seconds, 250000 Inserts)
% 8.20/8.38
% 8.20/8.38 Stopped by limit on insertions
% 8.20/8.38
% 8.20/8.38 Model 23 [ 50 34 130060 ] (0.00 seconds, 250000 Inserts)
% 8.20/8.38
% 8.20/8.38 Stopped by limit on insertions
% 8.20/8.38
% 8.20/8.38 Model 24 [ 1 23 84179 ] (0.00 seconds, 250000 Inserts)
% 8.20/8.38
% 8.20/8.38 Stopped by limit on insertions
% 8.20/8.38
% 8.20/8.38 Model 25 [ 1 59 190393 ] (0.00 seconds, 250000 Inserts)
% 8.20/8.38
% 8.20/8.38 Resetting weight limit to 37 after 265 givens.
% 8.20/8.38
% 8.20/8.39
% 8.20/8.39 -------- PROOF --------
% 8.20/8.39 % SZS status Unsatisfiable
% 8.20/8.39 % SZS output start Refutation
% 8.20/8.39
% 8.20/8.39 ----> UNIT CONFLICT at 7.99 sec ----> 4211 [binary,4210.1,3.1] {+} $F.
% 8.20/8.39
% 8.20/8.39 Length of proof is 25. Level of proof is 13.
% 8.20/8.39
% 8.20/8.39 ---------------- PROOF ----------------
% 8.20/8.39 % SZS status Unsatisfiable
% 8.20/8.39 % SZS output start Refutation
% 8.20/8.39
% 8.20/8.39 1 [] {+} theorem(A)| -axiom(A).
% 8.20/8.39 2 [] {+} theorem(A)| -theorem(implies(B,A))| -theorem(B).
% 8.20/8.39 3 [] {+} -theorem(implies(and(p,q),and(q,p))).
% 8.20/8.39 4 [] {+} axiom(implies(or(A,A),A)).
% 8.20/8.39 5 [] {+} axiom(implies(A,or(B,A))).
% 8.20/8.39 6 [] {+} axiom(implies(or(A,B),or(B,A))).
% 8.20/8.39 8 [] {-} axiom(implies(implies(A,B),implies(or(C,A),or(C,B)))).
% 8.20/8.39 9 [] {-} implies(A,B)=or(not(A),B).
% 8.20/8.39 11,10 [copy,9,flip.1] {+} or(not(A),B)=implies(A,B).
% 8.20/8.39 12 [] {-} and(A,B)=not(or(not(A),not(B))).
% 8.20/8.39 13 [copy,12,demod,11,flip.1] {-} not(implies(A,not(B)))=and(A,B).
% 8.20/8.39 16 [hyper,4,1] {+} theorem(implies(or(A,A),A)).
% 8.20/8.39 17 [hyper,5,1] {-} theorem(implies(A,or(B,A))).
% 8.20/8.39 18 [hyper,6,1] {+} theorem(implies(or(A,B),or(B,A))).
% 8.20/8.39 25 [para_from,10.1.1,17.1.1.2] {+} theorem(implies(A,implies(B,A))).
% 8.20/8.39 36 [para_into,18.1.1.1,10.1.1] {+} theorem(implies(implies(A,B),or(B,not(A)))).
% 8.20/8.39 37 [para_into,18.1.1.2,10.1.1] {-} theorem(implies(or(A,not(B)),implies(B,A))).
% 8.20/8.39 38 [hyper,8,1] {+} theorem(implies(implies(A,B),implies(or(C,A),or(C,B)))).
% 8.20/8.39 43 [para_from,13.1.1,10.1.1.1] {-} or(and(A,B),C)=implies(implies(A,not(B)),C).
% 8.20/8.39 44 [copy,43,flip.1] {-} implies(implies(A,not(B)),C)=or(and(A,B),C).
% 8.20/8.39 57 [para_into,37.1.1.1,10.1.1] {-} theorem(implies(implies(A,not(B)),implies(B,not(A)))).
% 8.20/8.39 141 [para_into,57.1.1,44.1.1] {-} theorem(or(and(A,B),implies(B,not(A)))).
% 8.20/8.39 288 [hyper,36,2,25] {+} theorem(or(implies(A,B),not(B))).
% 8.20/8.39 330 [hyper,38,2,37] {-} theorem(implies(or(A,or(B,not(C))),or(A,implies(C,B)))).
% 8.20/8.39 350 [para_into,330.1.1.1,10.1.1,demod,11] {-} theorem(implies(implies(A,or(B,not(C))),implies(A,implies(C,B)))).
% 8.20/8.39 358 [hyper,350,2,17] {-} theorem(implies(not(A),implies(A,B))).
% 8.20/8.39 366 [hyper,358,2,38] {-} theorem(implies(or(A,not(B)),or(A,implies(B,C)))).
% 8.20/8.39 414 [hyper,366,2,288] {+} theorem(or(implies(A,B),implies(B,C))).
% 8.20/8.39 756 [hyper,414,2,16] {+} theorem(implies(A,A)).
% 8.20/8.39 794 [hyper,756,2,36] {+} theorem(or(A,not(A))).
% 8.20/8.39 834 [para_into,794.1.1,43.1.1] {-} theorem(implies(implies(A,not(B)),not(and(A,B)))).
% 8.20/8.39 999 [hyper,834,2,38] {-} theorem(implies(or(A,implies(B,not(C))),or(A,not(and(B,C))))).
% 8.20/8.39 2464 [hyper,141,2,999] {-} theorem(or(and(A,B),not(and(B,A)))).
% 8.20/8.39 4210 [hyper,2464,2,37] {-} theorem(implies(and(A,B),and(B,A))).
% 8.20/8.39 4211 [binary,4210.1,3.1] {+} $F.
% 8.20/8.39
% 8.20/8.39 % SZS output end Refutation
% 8.20/8.39 ------------ end of proof -------------
% 8.20/8.39
% 8.20/8.39
% 8.20/8.39 Search stopped by max_proofs option.
% 8.20/8.39
% 8.20/8.39
% 8.20/8.39 Search stopped by max_proofs option.
% 8.20/8.39
% 8.20/8.39 ============ end of search ============
% 8.20/8.39
% 8.20/8.39 ----------- soft-scott stats ----------
% 8.20/8.39
% 8.20/8.39 true clauses given 77 (28.8%)
% 8.20/8.39 false clauses given 190
% 8.20/8.39
% 8.20/8.39 FALSE TRUE
% 8.20/8.39 8 0 66
% 8.20/8.39 9 2 122
% 8.20/8.39 10 20 247
% 8.20/8.39 11 67 165
% 8.20/8.39 12 63 181
% 8.20/8.39 13 92 139
% 8.20/8.39 14 28 220
% 8.20/8.39 15 68 297
% 8.20/8.39 16 81 250
% 8.20/8.39 17 101 250
% 8.20/8.39 18 114 124
% 8.20/8.39 19 41 87
% 8.20/8.39 20 36 72
% 8.20/8.39 21 31 88
% 8.20/8.39 22 48 128
% 8.20/8.39 23 41 73
% 8.20/8.39 24 19 22
% 8.20/8.39 25 31 0
% 8.20/8.39 26 18 0
% 8.20/8.39 27 25 4
% 8.20/8.39 28 5 0
% 8.20/8.39 29 3 0
% 8.20/8.39 30 3 0
% 8.20/8.39 31 1 0
% 8.20/8.39 32 4 0
% 8.20/8.39 33 1 0
% 8.20/8.39 34 5 0
% 8.20/8.39 35 3 0
% 8.20/8.39 36 2 0
% 8.20/8.39 37 2 0
% 8.20/8.39 tot: 955 2535 (72.6% true)
% 8.20/8.39
% 8.20/8.39
% 8.20/8.39 Model 25 [ 1 59 190393 ] (0.00 seconds, 250000 Inserts)
% 8.20/8.39
% 8.20/8.39 That finishes the proof of the theorem.
% 8.20/8.39
% 8.20/8.39 Process 3038 finished Sun Jul 3 15:54:52 2022
%------------------------------------------------------------------------------