TSTP Solution File: LCL195-3 by SOS---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : LCL195-3 : TPTP v8.1.0. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : sos-script %s
% Computer : n008.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 14:28:33 EDT 2022
% Result : Unsatisfiable 58.25s 58.52s
% Output : Refutation 58.25s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LCL195-3 : TPTP v8.1.0. Released v2.3.0.
% 0.07/0.12 % Command : sos-script %s
% 0.12/0.33 % Computer : n008.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 : Mon Jul 4 04:54:08 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 sandbox2 on n008.cluster.edu,
% 0.12/0.35 Mon Jul 4 04:54:08 2022
% 0.12/0.35 The command was "./sos". The process ID is 14541.
% 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 =======
% 0.12/0.38
% 0.12/0.38 Model 1 (0.00 seconds, 0 Inserts)
% 0.12/0.38
% 0.12/0.38 Stopped by limit on number of solutions
% 0.12/0.38
% 0.12/0.38
% 0.12/0.38 -------------- Softie stats --------------
% 0.12/0.38
% 0.12/0.38 UPDATE_STOP: 300
% 0.12/0.38 SFINDER_TIME_LIMIT: 2
% 0.12/0.38 SHORT_CLAUSE_CUTOFF: 4
% 0.12/0.38 number of clauses in intial UL: 3
% 0.12/0.38 number of clauses initially in problem: 11
% 0.12/0.38 percentage of clauses intially in UL: 27
% 0.12/0.38 percentage of distinct symbols occuring in initial UL: 77
% 0.12/0.38 percent of all initial clauses that are short: 100
% 0.12/0.38 absolute distinct symbol count: 9
% 0.12/0.38 distinct predicate count: 3
% 0.12/0.38 distinct function count: 3
% 0.12/0.38 distinct constant count: 3
% 0.12/0.38
% 0.12/0.38 ---------- no more Softie stats ----------
% 0.12/0.38
% 0.12/0.38
% 0.12/0.38
% 0.12/0.38 Model 2 (0.00 seconds, 0 Inserts)
% 0.12/0.38
% 0.12/0.38 Stopped by limit on number of solutions
% 0.12/0.38
% 0.12/0.38 =========== start of search ===========
% 5.52/5.73
% 5.52/5.73
% 5.52/5.73 Changing weight limit from 60 to 34.
% 5.52/5.73
% 5.52/5.73 Model 3 (0.00 seconds, 0 Inserts)
% 5.52/5.73
% 5.52/5.73 Stopped by limit on number of solutions
% 5.52/5.73
% 5.52/5.73 Stopped by limit on insertions
% 5.52/5.73
% 5.52/5.73 Stopped by limit on insertions
% 5.52/5.73
% 5.52/5.73 Model 4 [ 1 2 16272 ] (0.00 seconds, 250000 Inserts)
% 5.52/5.73
% 5.52/5.73 Stopped by limit on insertions
% 5.52/5.73
% 5.52/5.73 Model 5 [ 1 1 9348 ] (0.00 seconds, 250000 Inserts)
% 5.52/5.73
% 5.52/5.73 Stopped by limit on insertions
% 5.52/5.73
% 5.52/5.73 Model 6 [ 1 1 7256 ] (0.00 seconds, 250000 Inserts)
% 5.52/5.73
% 5.52/5.73 Stopped by limit on insertions
% 5.52/5.73
% 5.52/5.73 Model 7 [ 1 16 212827 ] (0.00 seconds, 250000 Inserts)
% 5.52/5.73
% 5.52/5.73 Stopped by limit on insertions
% 5.52/5.73
% 5.52/5.73 Model 8 [ 1 3 30877 ] (0.00 seconds, 250000 Inserts)
% 5.52/5.73
% 5.52/5.73 Stopped by limit on insertions
% 5.52/5.73
% 5.52/5.73 Model 9 [ 22 8 121823 ] (0.00 seconds, 250000 Inserts)
% 5.52/5.73
% 5.52/5.73 Stopped by limit on insertions
% 5.52/5.73
% 5.52/5.73 Model 10 [ 1 0 3191 ] (0.00 seconds, 250000 Inserts)
% 5.52/5.73
% 5.52/5.73 Stopped by limit on insertions
% 5.52/5.73
% 5.52/5.73 Model 11 [ 22 12 111134 ] (0.00 seconds, 250000 Inserts)
% 5.52/5.73
% 5.52/5.73 Stopped by limit on insertions
% 5.52/5.73
% 5.52/5.73 Model 12 [ 22 10 89878 ] (0.00 seconds, 250000 Inserts)
% 5.52/5.73
% 5.52/5.73 Stopped by limit on insertions
% 5.52/5.73
% 5.52/5.73 Model 13 [ 1 6 47801 ] (0.00 seconds, 250000 Inserts)
% 5.52/5.73
% 5.52/5.73 Stopped by limit on insertions
% 5.52/5.73
% 5.52/5.73 Model 14 [ 2 1 4496 ] (0.00 seconds, 250000 Inserts)
% 5.52/5.73
% 5.52/5.73 Stopped by limit on insertions
% 5.52/5.73
% 5.52/5.73 Model 15 [ 1 13 98583 ] (0.00 seconds, 250000 Inserts)
% 5.52/5.73
% 5.52/5.73 Stopped by limit on insertions
% 5.52/5.73
% 5.52/5.73 Model 16 [ 1 16 105148 ] (0.00 seconds, 250000 Inserts)
% 5.52/5.73
% 5.52/5.73 Stopped by limit on insertions
% 5.52/5.73
% 5.52/5.73 Model 17 [ 8 25 165661 ] (0.00 seconds, 250000 Inserts)
% 5.52/5.73
% 5.52/5.73 Stopped by limit on insertions
% 5.52/5.73
% 5.52/5.73 Model 18 [ 1 1 1689 ] (0.00 seconds, 250000 Inserts)
% 5.52/5.73
% 5.52/5.73 Resetting weight limit to 34 after 310 givens.
% 5.52/5.73
% 5.89/6.15
% 5.89/6.15
% 5.89/6.15 Changing weight limit from 34 to 18.
% 5.89/6.15
% 5.89/6.15 Resetting weight limit to 18 after 390 givens.
% 5.89/6.15
% 6.02/6.21
% 6.02/6.21
% 6.02/6.21 Changing weight limit from 18 to 16.
% 6.02/6.21
% 6.02/6.21 Resetting weight limit to 16 after 395 givens.
% 6.02/6.21
% 6.05/6.30
% 6.05/6.30
% 6.05/6.30 Changing weight limit from 16 to 15.
% 6.05/6.30
% 6.05/6.30 Resetting weight limit to 15 after 435 givens.
% 6.05/6.30
% 6.69/6.87
% 6.69/6.87
% 6.69/6.87 Changing weight limit from 15 to 14.
% 6.69/6.87
% 6.69/6.87 Modelling stopped after 300 given clauses and 0.00 seconds
% 6.69/6.87
% 6.69/6.87
% 6.69/6.87 Resetting weight limit to 14 after 550 givens.
% 6.69/6.87
% 8.37/8.58
% 8.37/8.58
% 8.37/8.58 Changing weight limit from 14 to 13.
% 8.37/8.58
% 8.37/8.58 Resetting weight limit to 13 after 1280 givens.
% 8.37/8.58
% 58.25/58.52
% 58.25/58.52 -- HEY sandbox2, WE HAVE A PROOF!! --
% 58.25/58.52
% 58.25/58.52 ----> UNIT CONFLICT at 52.62 sec ----> 232196 [binary,232195.1,3.1] {+} $F.
% 58.25/58.52
% 58.25/58.52 Length of proof is 71. Level of proof is 28.
% 58.25/58.52
% 58.25/58.52 ---------------- PROOF ----------------
% 58.25/58.52 % SZS status Unsatisfiable
% 58.25/58.52 % SZS output start Refutation
% 58.25/58.52
% 58.25/58.52 1 [] {+} theorem(A)| -axiom(A).
% 58.25/58.52 2 [] {+} theorem(A)| -theorem(implies(B,A))| -theorem(B).
% 58.25/58.52 3 [] {+} -theorem(implies(implies(q,r),implies(or(q,p),or(r,p)))).
% 58.25/58.52 4 [] {+} axiom(implies(or(A,A),A)).
% 58.25/58.52 5 [] {+} axiom(implies(A,or(B,A))).
% 58.25/58.52 6 [] {-} axiom(implies(or(A,B),or(B,A))).
% 58.25/58.52 7 [] {-} axiom(implies(or(A,or(B,C)),or(B,or(A,C)))).
% 58.25/58.52 8 [] {-} axiom(implies(implies(A,B),implies(or(C,A),or(C,B)))).
% 58.25/58.52 9 [] {-} implies(A,B)=or(not(A),B).
% 58.25/58.52 11,10 [copy,9,flip.1] {+} or(not(A),B)=implies(A,B).
% 58.25/58.52 13 [hyper,4,1] {+} theorem(implies(or(A,A),A)).
% 58.25/58.52 14 [hyper,5,1] {+} theorem(implies(A,or(B,A))).
% 58.25/58.52 15 [hyper,6,1] {+} theorem(implies(or(A,B),or(B,A))).
% 58.25/58.52 20 [hyper,7,1] {-} theorem(implies(or(A,or(B,C)),or(B,or(A,C)))).
% 58.25/58.52 24 [para_into,14.1.1.2,10.1.1] {+} theorem(implies(A,implies(B,A))).
% 58.25/58.52 26 [para_into,15.1.1.1,10.1.1] {+} theorem(implies(implies(A,B),or(B,not(A)))).
% 58.25/58.52 27 [para_into,15.1.1.2,10.1.1] {-} theorem(implies(or(A,not(B)),implies(B,A))).
% 58.25/58.52 31 [hyper,8,1] {-} theorem(implies(implies(A,B),implies(or(C,A),or(C,B)))).
% 58.25/58.52 53 [para_into,20.1.1.1.2,10.1.1,demod,11] {+} theorem(implies(or(A,implies(B,C)),implies(B,or(A,C)))).
% 58.25/58.52 54 [para_into,20.1.1.1,10.1.1,demod,11] {+} theorem(implies(implies(A,or(B,C)),or(B,implies(A,C)))).
% 58.25/58.52 59 [hyper,31,2,27] {-} theorem(implies(or(A,or(B,not(C))),or(A,implies(C,B)))).
% 58.25/58.52 60 [hyper,31,2,24] {-} theorem(implies(or(A,B),or(A,implies(C,B)))).
% 58.25/58.52 62 [hyper,31,2,15] {-} theorem(implies(or(A,or(B,C)),or(A,or(C,B)))).
% 58.25/58.52 63 [hyper,31,2,14] {-} theorem(implies(or(A,B),or(A,or(C,B)))).
% 58.25/58.52 64 [hyper,31,2,13] {-} theorem(implies(or(A,or(B,B)),or(A,B))).
% 58.25/58.52 65 [para_into,31.1.1.2.1,10.1.1,demod,11] {+} theorem(implies(implies(A,B),implies(implies(C,A),implies(C,B)))).
% 58.25/58.52 87 [para_into,64.1.1.1,10.1.1,demod,11] {-} theorem(implies(implies(A,or(B,B)),implies(A,B))).
% 58.25/58.52 98 [hyper,87,2,60] {+} theorem(implies(or(implies(A,B),B),implies(A,B))).
% 58.25/58.52 100 [hyper,87,2,14] {+} theorem(implies(A,A)).
% 58.25/58.52 103 [hyper,26,2,31] {+} theorem(implies(or(A,implies(B,C)),or(A,or(C,not(B))))).
% 58.25/58.52 117 [hyper,100,2,26] {+} theorem(or(A,not(A))).
% 58.25/58.52 120 [hyper,117,2,63] {+} theorem(or(A,or(B,not(A)))).
% 58.25/58.52 124 [para_into,117.1.1,10.1.1] {+} theorem(implies(A,not(not(A)))).
% 58.25/58.52 126 [hyper,124,2,31] {-} theorem(implies(or(A,B),or(A,not(not(B))))).
% 58.25/58.52 240 [hyper,120,2,62,demod,11] {+} theorem(or(A,implies(A,B))).
% 58.25/58.52 252 [para_into,240.1.1,10.1.1] {+} theorem(implies(A,implies(not(A),B))).
% 58.25/58.52 298 [para_into,59.1.1.1,10.1.1,demod,11] {-} theorem(implies(implies(A,or(B,not(C))),implies(A,implies(C,B)))).
% 58.25/58.52 361 [hyper,298,2,64,demod,11] {-} theorem(implies(or(A,implies(B,not(B))),implies(B,A))).
% 58.25/58.52 362 [hyper,298,2,14] {+} theorem(implies(not(A),implies(A,B))).
% 58.25/58.52 441 [hyper,252,2,31] {-} theorem(implies(or(A,B),or(A,implies(not(B),C)))).
% 58.25/58.52 538 [hyper,441,2,117] {-} theorem(or(A,implies(not(not(A)),B))).
% 58.25/58.52 555 [hyper,538,2,361] {+} theorem(implies(not(not(A)),A)).
% 58.25/58.52 577 [hyper,555,2,31] {-} theorem(implies(or(A,not(not(B))),or(A,B))).
% 58.25/58.52 595 [hyper,126,2,298] {-} theorem(implies(or(A,B),implies(not(B),A))).
% 58.25/58.52 662 [para_into,53.1.1.1,10.1.1,demod,11] {+} theorem(implies(implies(A,implies(B,C)),implies(B,implies(A,C)))).
% 58.25/58.52 663 [hyper,577,2,298] {-} theorem(implies(or(A,not(not(not(B)))),implies(B,A))).
% 58.25/58.52 780 [hyper,54,2,126] {-} theorem(or(A,implies(or(A,B),not(not(B))))).
% 58.25/58.52 781 [hyper,54,2,100] {+} theorem(or(A,implies(or(A,B),B))).
% 58.25/58.52 826 [hyper,362,2,31] {-} theorem(implies(or(A,not(B)),or(A,implies(B,C)))).
% 58.25/58.52 3588 [hyper,103,2,780,demod,11] {-} theorem(or(A,implies(not(B),not(or(A,B))))).
% 58.25/58.52 3660 [hyper,3588,2,53] {-} theorem(implies(not(A),or(B,not(or(B,A))))).
% 58.25/58.52 3667 [hyper,3660,2,298] {-} theorem(implies(not(A),implies(or(B,A),B))).
% 58.25/58.52 3712 [hyper,3667,2,26] {-} theorem(or(implies(or(A,B),A),not(not(B)))).
% 58.25/58.52 3802 [hyper,3712,2,826] {-} theorem(or(implies(or(A,B),A),implies(not(B),C))).
% 58.25/58.52 3803 [hyper,3712,2,663] {-} theorem(implies(A,implies(or(B,not(A)),B))).
% 58.25/58.52 3828 [hyper,3803,2,65] {-} theorem(implies(implies(A,B),implies(A,implies(or(C,not(B)),C)))).
% 58.25/58.52 5077 [hyper,3802,2,15] {-} theorem(or(implies(not(A),B),implies(or(C,A),C))).
% 58.25/58.52 6275 [hyper,5077,2,53] {-} theorem(implies(or(A,B),or(implies(not(B),C),A))).
% 58.25/58.52 9642 [hyper,781,2,15] {+} theorem(or(implies(or(A,B),B),A)).
% 58.25/58.52 13738 [hyper,9642,2,6275] {-} theorem(or(implies(not(A),B),implies(or(A,C),C))).
% 58.25/58.52 13779 [hyper,9642,2,595] {-} theorem(implies(not(A),implies(or(A,B),B))).
% 58.25/58.52 13821 [hyper,13779,2,65] {-} theorem(implies(implies(A,not(B)),implies(A,implies(or(B,C),C)))).
% 58.25/58.52 14326 [hyper,13738,2,103] {-} theorem(or(implies(not(A),B),or(C,not(or(A,C))))).
% 58.25/58.52 23358 [hyper,14326,2,98] {-} theorem(implies(not(A),or(B,not(or(A,B))))).
% 58.25/58.52 23389 [hyper,23358,2,54] {-} theorem(or(A,implies(not(B),not(or(B,A))))).
% 58.25/58.52 23500 [hyper,23389,2,103,demod,11] {-} theorem(or(A,implies(or(B,A),not(not(B))))).
% 58.25/58.52 23548 [hyper,23500,2,53] {-} theorem(implies(or(A,B),or(B,not(not(A))))).
% 58.25/58.52 23729 [hyper,23548,2,298] {-} theorem(implies(or(A,B),implies(not(A),B))).
% 58.25/58.52 23903 [hyper,23729,2,26] {-} theorem(or(implies(not(A),B),not(or(A,B)))).
% 58.25/58.52 24099 [hyper,23903,2,23548,demod,11] {-} theorem(implies(or(A,B),not(not(implies(not(A),B))))).
% 58.25/58.52 31173 [hyper,662,2,31] {-} theorem(implies(or(A,B),implies(implies(B,C),or(A,C)))).
% 58.25/58.52 43081 [hyper,31173,2,26] {-} theorem(or(implies(implies(A,B),or(C,B)),not(or(C,A)))).
% 58.25/58.52 57269 [hyper,3828,2,15] {-} theorem(implies(or(A,B),implies(or(C,not(or(B,A))),C))).
% 58.25/58.52 72610 [hyper,13821,2,24099,demod,11] {-} theorem(implies(or(A,B),implies(implies(implies(not(A),B),C),C))).
% 58.25/58.52 137854 [hyper,57269,2,662] {-} theorem(implies(or(A,not(or(B,C))),implies(or(C,B),A))).
% 58.25/58.52 146213 [hyper,72610,2,662] {-} theorem(implies(implies(implies(not(A),B),C),implies(or(A,B),C))).
% 58.25/58.52 223637 [hyper,137854,2,43081] {-} theorem(implies(or(A,B),implies(implies(A,C),or(B,C)))).
% 58.25/58.52 223818 [hyper,223637,2,662] {-} theorem(implies(implies(A,B),implies(or(A,C),or(C,B)))).
% 58.25/58.52 232172 [hyper,146213,2,223818,demod,11] {-} theorem(implies(or(A,B),implies(implies(A,C),or(C,B)))).
% 58.25/58.52 232195 [hyper,232172,2,662] {-} theorem(implies(implies(A,B),implies(or(A,C),or(B,C)))).
% 58.25/58.52 232196 [binary,232195.1,3.1] {+} $F.
% 58.25/58.52
% 58.25/58.52 % SZS output end Refutation
% 58.25/58.52 ------------ end of proof -------------
% 58.25/58.52
% 58.25/58.52
% 58.25/58.52 Search stopped by max_proofs option.
% 58.25/58.52
% 58.25/58.52
% 58.25/58.52 Search stopped by max_proofs option.
% 58.25/58.52
% 58.25/58.52 ============ end of search ============
% 58.25/58.52
% 58.25/58.52 ----------- soft-scott stats ----------
% 58.25/58.52
% 58.25/58.52 true clauses given 3968 (37.9%)
% 58.25/58.52 false clauses given 6514
% 58.25/58.52
% 58.25/58.52 FALSE TRUE
% 58.25/58.52 11 0 78
% 58.25/58.52 12 0 2422
% 58.25/58.52 13 946 2
% 58.25/58.52 tot: 946 2502 (72.6% true)
% 58.25/58.52
% 58.25/58.52
% 58.25/58.52 Model 18 [ 1 1 1689 ] (0.00 seconds, 250000 Inserts)
% 58.25/58.52
% 58.25/58.52 That finishes the proof of the theorem.
% 58.25/58.52
% 58.25/58.52 Process 14541 finished Mon Jul 4 04:55:06 2022
%------------------------------------------------------------------------------