%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : LCL209-3 : TPTP v8.1.0. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : sos-script %s
% Computer : n012.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 14:28:42 EDT 2022
% Result : Unsatisfiable 8.24s 8.41s
% Output : Refutation 8.24s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LCL209-3 : TPTP v8.1.0. Released v2.3.0.
% 0.07/0.12 % Command : sos-script %s
% 0.12/0.33 % Computer : n012.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Sun Jul 3 12:49:46 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.35 ----- Otter 3.2, August 2001 -----
% 0.12/0.35 The process was started by sandbox on n012.cluster.edu,
% 0.12/0.35 Sun Jul 3 12:49:46 2022
% 0.12/0.35 The command was "./sos". The process ID is 14618.
% 0.12/0.35
% 0.12/0.35 set(prolog_style_variables).
% 0.12/0.35 set(auto).
% 0.12/0.35 dependent: set(auto1).
% 0.12/0.35 dependent: set(process_input).
% 0.12/0.35 dependent: clear(print_kept).
% 0.12/0.35 dependent: clear(print_new_demod).
% 0.12/0.35 dependent: clear(print_back_demod).
% 0.12/0.35 dependent: clear(print_back_sub).
% 0.12/0.35 dependent: set(control_memory).
% 0.12/0.35 dependent: assign(max_mem, 12000).
% 0.12/0.35 dependent: assign(pick_given_ratio, 4).
% 0.12/0.35 dependent: assign(stats_level, 1).
% 0.12/0.35 dependent: assign(pick_semantic_ratio, 3).
% 0.12/0.35 dependent: assign(sos_limit, 5000).
% 0.12/0.35 dependent: assign(max_weight, 60).
% 0.12/0.35 clear(print_given).
% 0.12/0.35
% 0.12/0.35 list(usable).
% 0.12/0.35
% 0.12/0.35 SCAN INPUT: prop=0, horn=1, equality=1, symmetry=0, max_lits=3.
% 0.12/0.35
% 0.12/0.35 This is a Horn set with equality. The strategy will be
% 0.12/0.35 Knuth-Bendix and hyper_res, with positive clauses in
% 0.12/0.35 sos and nonpositive clauses in usable.
% 0.12/0.35
% 0.12/0.35 dependent: set(knuth_bendix).
% 0.12/0.35 dependent: set(para_from).
% 0.12/0.35 dependent: set(para_into).
% 0.12/0.35 dependent: clear(para_from_right).
% 0.12/0.35 dependent: clear(para_into_right).
% 0.12/0.35 dependent: set(para_from_vars).
% 0.12/0.35 dependent: set(eq_units_both_ways).
% 0.12/0.35 dependent: set(dynamic_demod_all).
% 0.12/0.35 dependent: set(dynamic_demod).
% 0.12/0.35 dependent: set(order_eq).
% 0.12/0.35 dependent: set(back_demod).
% 0.12/0.35 dependent: set(lrpo).
% 0.12/0.35 dependent: set(hyper_res).
% 0.12/0.35 dependent: clear(order_hyper).
% 0.12/0.35
% 0.12/0.35 ------------> process usable:
% 0.12/0.35
% 0.12/0.35 ------------> process sos:
% 0.12/0.35 Following clause subsumed by 12 during input processing: 0 [copy,12,flip.1] {-} A=A.
% 0.12/0.35
% 0.12/0.35 ======= 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 ===========
% 5.72/5.92
% 5.72/5.92
% 5.72/5.92 Changing weight limit from 60 to 28.
% 5.72/5.92
% 5.72/5.92 Model 3 (0.00 seconds, 0 Inserts)
% 5.72/5.92
% 5.72/5.92 Stopped by limit on number of solutions
% 5.72/5.92
% 5.72/5.92 Stopped by limit on insertions
% 5.72/5.92
% 5.72/5.92 Stopped by limit on insertions
% 5.72/5.92
% 5.72/5.92 Model 4 [ 21 1 506 ] (0.00 seconds, 250000 Inserts)
% 5.72/5.92
% 5.72/5.92 Stopped by limit on insertions
% 5.72/5.92
% 5.72/5.92 Model 5 [ 1 1 6085 ] (0.00 seconds, 250000 Inserts)
% 5.72/5.92
% 5.72/5.92 Stopped by limit on insertions
% 5.72/5.92
% 5.72/5.92 Model 6 [ 1 0 5301 ] (0.00 seconds, 250000 Inserts)
% 5.72/5.92
% 5.72/5.92 Stopped by limit on insertions
% 5.72/5.92
% 5.72/5.92 Model 7 [ 1 0 2320 ] (0.00 seconds, 250000 Inserts)
% 5.72/5.92
% 5.72/5.92 Stopped by limit on insertions
% 5.72/5.92
% 5.72/5.92 Model 8 [ 1 2 22714 ] (0.00 seconds, 250000 Inserts)
% 5.72/5.92
% 5.72/5.92 Stopped by limit on insertions
% 5.72/5.92
% 5.72/5.92 Model 9 [ 1 2 23166 ] (0.00 seconds, 250000 Inserts)
% 5.72/5.92
% 5.72/5.92 Stopped by limit on insertions
% 5.72/5.92
% 5.72/5.92 Stopped by limit on insertions
% 5.72/5.92
% 5.72/5.92 Model 10 [ 29 22 215908 ] (0.00 seconds, 250000 Inserts)
% 5.72/5.92
% 5.72/5.92 Stopped by limit on insertions
% 5.72/5.92
% 5.72/5.92 Model 11 [ 33 3 17147 ] (0.00 seconds, 250000 Inserts)
% 5.72/5.92
% 5.72/5.92 Stopped by limit on insertions
% 5.72/5.92
% 5.72/5.92 Model 12 [ 2 37 196494 ] (0.00 seconds, 250000 Inserts)
% 5.72/5.92
% 5.72/5.92 Stopped by limit on insertions
% 5.72/5.92
% 5.72/5.92 Model 13 [ 2 1 735 ] (0.00 seconds, 250000 Inserts)
% 5.72/5.92
% 5.72/5.92 Stopped by limit on insertions
% 5.72/5.92
% 5.72/5.92 Model 14 [ 3 3 6108 ] (0.00 seconds, 250000 Inserts)
% 5.72/5.92
% 5.72/5.92 Stopped by limit on insertions
% 5.72/5.92
% 5.72/5.92 Model 15 [ 3 0 213 ] (0.00 seconds, 250000 Inserts)
% 5.72/5.92
% 5.72/5.92 Resetting weight limit to 28 after 310 givens.
% 5.72/5.92
% 5.84/6.04
% 5.84/6.04
% 5.84/6.04 Changing weight limit from 28 to 21.
% 5.84/6.04
% 5.84/6.04 Resetting weight limit to 21 after 315 givens.
% 5.84/6.04
% 6.44/6.65
% 6.44/6.65
% 6.44/6.65 Changing weight limit from 21 to 18.
% 6.44/6.65
% 6.44/6.65 Modelling stopped after 300 given clauses and 0.00 seconds
% 6.44/6.65
% 6.44/6.65
% 6.44/6.65 Resetting weight limit to 18 after 475 givens.
% 6.44/6.65
% 6.44/6.67
% 6.44/6.67
% 6.44/6.67 Changing weight limit from 18 to 17.
% 6.44/6.67
% 6.44/6.67 Resetting weight limit to 17 after 480 givens.
% 6.44/6.67
% 6.62/6.78
% 6.62/6.78
% 6.62/6.78 Changing weight limit from 17 to 15.
% 6.62/6.78
% 6.62/6.78 Resetting weight limit to 15 after 490 givens.
% 6.62/6.78
% 6.62/6.80
% 6.62/6.80
% 6.62/6.80 Changing weight limit from 15 to 14.
% 6.62/6.80
% 6.62/6.80 Resetting weight limit to 14 after 500 givens.
% 6.62/6.80
% 6.96/7.14
% 6.96/7.14
% 6.96/7.14 Changing weight limit from 14 to 13.
% 6.96/7.14
% 6.96/7.14 Resetting weight limit to 13 after 605 givens.
% 6.96/7.14
% 8.24/8.41
% 8.24/8.41 -------- PROOF --------
% 8.24/8.41 % SZS status Unsatisfiable
% 8.24/8.41 % SZS output start Refutation
% 8.24/8.41
% 8.24/8.41 ----> UNIT CONFLICT at 7.93 sec ----> 26986 [binary,26985.1,3.1] {-} $F.
% 8.24/8.41
% 8.24/8.41 Length of proof is 35. Level of proof is 19.
% 8.24/8.41
% 8.24/8.41 ---------------- PROOF ----------------
% 8.24/8.41 % SZS status Unsatisfiable
% 8.24/8.41 % SZS output start Refutation
% 8.24/8.41
% 8.24/8.41 1 [] {+} theorem(A)| -axiom(A).
% 8.24/8.41 2 [] {+} theorem(A)| -theorem(implies(B,A))| -theorem(B).
% 8.24/8.41 3 [] {+} -theorem(implies(implies(not(p),q),or(p,q))).
% 8.24/8.41 4 [] {+} axiom(implies(or(A,A),A)).
% 8.24/8.41 5 [] {+} axiom(implies(A,or(B,A))).
% 8.24/8.41 6 [] {-} axiom(implies(or(A,B),or(B,A))).
% 8.24/8.41 7 [] {-} axiom(implies(or(A,or(B,C)),or(B,or(A,C)))).
% 8.24/8.41 8 [] {-} axiom(implies(implies(A,B),implies(or(C,A),or(C,B)))).
% 8.24/8.41 9 [] {-} implies(A,B)=or(not(A),B).
% 8.24/8.41 11,10 [copy,9,flip.1] {+} or(not(A),B)=implies(A,B).
% 8.24/8.41 13 [hyper,4,1] {+} theorem(implies(or(A,A),A)).
% 8.24/8.41 14 [hyper,5,1] {+} theorem(implies(A,or(B,A))).
% 8.24/8.41 15 [hyper,6,1] {+} theorem(implies(or(A,B),or(B,A))).
% 8.24/8.41 17 [para_from,10.1.1,6.1.1.2] {-} axiom(implies(or(A,not(B)),implies(B,A))).
% 8.24/8.41 20 [hyper,7,1] {+} theorem(implies(or(A,or(B,C)),or(B,or(A,C)))).
% 8.24/8.41 23 [para_into,13.1.1.1,10.1.1] {+} theorem(implies(implies(A,not(A)),not(A))).
% 8.24/8.41 26 [para_into,14.1.1.2,10.1.1] {+} theorem(implies(A,implies(B,A))).
% 8.24/8.41 27 [hyper,8,1] {-} theorem(implies(implies(A,B),implies(or(C,A),or(C,B)))).
% 8.24/8.41 29 [hyper,17,1] {-} theorem(implies(or(A,not(B)),implies(B,A))).
% 8.24/8.41 43 [para_into,15.1.1.1,10.1.1] {+} theorem(implies(implies(A,B),or(B,not(A)))).
% 8.24/8.41 56 [hyper,27,2,29] {-} theorem(implies(or(A,or(B,not(C))),or(A,implies(C,B)))).
% 8.24/8.41 58 [hyper,27,2,23] {+} theorem(implies(or(A,implies(B,not(B))),or(A,not(B)))).
% 8.24/8.41 81 [para_into,20.1.1.1.2,10.1.1,demod,11] {+} theorem(implies(or(A,implies(B,C)),implies(B,or(A,C)))).
% 8.24/8.41 82 [para_into,20.1.1.1,10.1.1,demod,11] {-} theorem(implies(implies(A,or(B,C)),or(B,implies(A,C)))).
% 8.24/8.41 103 [para_into,56.1.1.1,10.1.1,demod,11] {-} theorem(implies(implies(A,or(B,not(C))),implies(A,implies(C,B)))).
% 8.24/8.41 123 [hyper,103,2,14] {+} theorem(implies(not(A),implies(A,B))).
% 8.24/8.41 141 [hyper,123,2,27] {-} theorem(implies(or(A,not(B)),or(A,implies(B,C)))).
% 8.24/8.41 313 [hyper,43,2,26] {+} theorem(or(implies(A,B),not(B))).
% 8.24/8.41 319 [hyper,313,2,141] {+} theorem(or(implies(A,B),implies(B,C))).
% 8.24/8.41 415 [hyper,319,2,13] {+} theorem(implies(A,A)).
% 8.24/8.41 460 [hyper,415,2,43] {+} theorem(or(A,not(A))).
% 8.24/8.41 483 [hyper,460,2,141] {+} theorem(or(A,implies(A,B))).
% 8.24/8.41 492 [hyper,58,2,103] {-} theorem(implies(or(A,implies(B,not(B))),implies(B,A))).
% 8.24/8.41 709 [para_into,483.1.1,10.1.1] {+} theorem(implies(A,implies(not(A),B))).
% 8.24/8.41 1052 [hyper,709,2,27] {-} theorem(implies(or(A,B),or(A,implies(not(B),C)))).
% 8.24/8.41 1250 [hyper,1052,2,460] {-} theorem(or(A,implies(not(not(A)),B))).
% 8.24/8.41 1441 [hyper,1250,2,492] {+} theorem(implies(not(not(A)),A)).
% 8.24/8.41 1461 [hyper,1441,2,27] {+} theorem(implies(or(A,not(not(B))),or(A,B))).
% 8.24/8.41 1481 [hyper,82,2,415] {+} theorem(or(A,implies(or(A,B),B))).
% 8.24/8.41 6097 [hyper,1481,2,15] {+} theorem(or(implies(or(A,B),B),A)).
% 8.24/8.41 9650 [para_into,6097.1.1.1.1,10.1.1] {-} theorem(or(implies(implies(A,B),B),not(A))).
% 8.24/8.41 26673 [hyper,1461,2,9650] {-} theorem(or(implies(implies(not(A),B),B),A)).
% 8.24/8.41 26921 [hyper,26673,2,15] {-} theorem(or(A,implies(implies(not(A),B),B))).
% 8.24/8.41 26985 [hyper,26921,2,81] {-} theorem(implies(implies(not(A),B),or(A,B))).
% 8.24/8.41 26986 [binary,26985.1,3.1] {-} $F.
% 8.24/8.41
% 8.24/8.41 % SZS output end Refutation
% 8.24/8.41 ------------ end of proof -------------
% 8.24/8.41
% 8.24/8.41
% 8.24/8.41 Search stopped by max_proofs option.
% 8.24/8.41
% 8.24/8.41
% 8.24/8.41 Search stopped by max_proofs option.
% 8.24/8.41
% 8.24/8.41 ============ end of search ============
% 8.24/8.41
% 8.24/8.41 ----------- soft-scott stats ----------
% 8.24/8.41
% 8.24/8.41 true clauses given 442 (32.4%)
% 8.24/8.41 false clauses given 921
% 8.24/8.41
% 8.24/8.41 FALSE TRUE
% 8.24/8.41 9 0 2
% 8.24/8.41 10 7 530
% 8.24/8.41 11 184 1223
% 8.24/8.41 12 2193 750
% 8.24/8.41 13 184 9
% 8.24/8.41 tot: 2568 2514 (49.5% true)
% 8.24/8.41
% 8.24/8.41
% 8.24/8.41 Model 15 [ 3 0 213 ] (0.00 seconds, 250000 Inserts)
% 8.24/8.41
% 8.24/8.41 That finishes the proof of the theorem.
% 8.24/8.41
% 8.24/8.41 Process 14618 finished Sun Jul 3 12:49:54 2022
%------------------------------------------------------------------------------