TSTP Solution File: LCL093-1 by SOS---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : LCL093-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : sos-script %s
% Computer : n015.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 14:27:53 EDT 2022
% Result : Unsatisfiable 38.00s 38.23s
% Output : Refutation 38.00s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : LCL093-1 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.12 % Command : sos-script %s
% 0.13/0.33 % Computer : n015.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Sun Jul 3 17:48:00 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.13/0.35 ----- Otter 3.2, August 2001 -----
% 0.13/0.35 The process was started by sandbox on n015.cluster.edu,
% 0.13/0.35 Sun Jul 3 17:48:00 2022
% 0.13/0.35 The command was "./sos". The process ID is 12444.
% 0.13/0.35
% 0.13/0.35 set(prolog_style_variables).
% 0.13/0.35 set(auto).
% 0.13/0.35 dependent: set(auto1).
% 0.13/0.35 dependent: set(process_input).
% 0.13/0.35 dependent: clear(print_kept).
% 0.13/0.35 dependent: clear(print_new_demod).
% 0.13/0.35 dependent: clear(print_back_demod).
% 0.13/0.35 dependent: clear(print_back_sub).
% 0.13/0.35 dependent: set(control_memory).
% 0.13/0.35 dependent: assign(max_mem, 12000).
% 0.13/0.35 dependent: assign(pick_given_ratio, 4).
% 0.13/0.35 dependent: assign(stats_level, 1).
% 0.13/0.35 dependent: assign(pick_semantic_ratio, 3).
% 0.13/0.35 dependent: assign(sos_limit, 5000).
% 0.13/0.35 dependent: assign(max_weight, 60).
% 0.13/0.35 clear(print_given).
% 0.13/0.35
% 0.13/0.35 list(usable).
% 0.13/0.35
% 0.13/0.35 SCAN INPUT: prop=0, horn=1, equality=0, symmetry=0, max_lits=3.
% 0.13/0.35
% 0.13/0.35 This is a Horn set without equality. The strategy will
% 0.13/0.35 be hyperresolution, with satellites in sos and nuclei
% 0.13/0.35 in usable.
% 0.13/0.35
% 0.13/0.35 dependent: set(hyper_res).
% 0.13/0.35 dependent: clear(order_hyper).
% 0.13/0.35
% 0.13/0.35 ------------> process usable:
% 0.13/0.35
% 0.13/0.35 ------------> process sos:
% 0.13/0.35
% 0.13/0.35 ======= end of input processing =======
% 0.20/0.37
% 0.20/0.37 Model 1 (0.00 seconds, 0 Inserts)
% 0.20/0.37
% 0.20/0.37 Stopped by limit on number of solutions
% 0.20/0.37
% 0.20/0.37
% 0.20/0.37 -------------- Softie stats --------------
% 0.20/0.37
% 0.20/0.37 UPDATE_STOP: 300
% 0.20/0.37 SFINDER_TIME_LIMIT: 2
% 0.20/0.37 SHORT_CLAUSE_CUTOFF: 4
% 0.20/0.37 number of clauses in intial UL: 2
% 0.20/0.37 number of clauses initially in problem: 3
% 0.20/0.37 percentage of clauses intially in UL: 66
% 0.20/0.37 percentage of distinct symbols occuring in initial UL: 100
% 0.20/0.37 percent of all initial clauses that are short: 100
% 0.20/0.37 absolute distinct symbol count: 5
% 0.20/0.37 distinct predicate count: 1
% 0.20/0.37 distinct function count: 1
% 0.20/0.37 distinct constant count: 3
% 0.20/0.37
% 0.20/0.37 ---------- no more Softie stats ----------
% 0.20/0.37
% 0.20/0.37
% 0.20/0.37
% 0.20/0.37 =========== start of search ===========
% 18.37/18.58
% 18.37/18.58
% 18.37/18.58 Changing weight limit from 60 to 40.
% 18.37/18.58
% 18.37/18.58 Model 2 (0.00 seconds, 0 Inserts)
% 18.37/18.58
% 18.37/18.58 Stopped by limit on number of solutions
% 18.37/18.58
% 18.37/18.58 Model 3 (0.00 seconds, 0 Inserts)
% 18.37/18.58
% 18.37/18.58 Stopped by limit on number of solutions
% 18.37/18.58
% 18.37/18.58 Model 4 (0.00 seconds, 0 Inserts)
% 18.37/18.58
% 18.37/18.58 Stopped by limit on number of solutions
% 18.37/18.58
% 18.37/18.58 Model 5 [ 1 337 189552 ] (0.00 seconds, 194718 Inserts)
% 18.37/18.58
% 18.37/18.58 Model 6 [ 2 0 117 ] (0.00 seconds, 186224 Inserts)
% 18.37/18.58
% 18.37/18.58 Model 7 [ 2 0 770 ] (0.00 seconds, 184396 Inserts)
% 18.37/18.58
% 18.37/18.58 Resetting weight limit to 40 after 235 givens.
% 18.37/18.58
% 18.42/18.64
% 18.42/18.64
% 18.42/18.64 Changing weight limit from 40 to 38.
% 18.42/18.64
% 18.42/18.64 Resetting weight limit to 38 after 240 givens.
% 18.42/18.64
% 18.57/18.76
% 18.57/18.76
% 18.57/18.76 Changing weight limit from 38 to 32.
% 18.57/18.76
% 18.57/18.76 Resetting weight limit to 32 after 245 givens.
% 18.57/18.76
% 18.72/18.91
% 18.72/18.91
% 18.72/18.91 Changing weight limit from 32 to 30.
% 18.72/18.91
% 18.72/18.91 Resetting weight limit to 30 after 250 givens.
% 18.72/18.91
% 18.97/19.16
% 18.97/19.16
% 18.97/19.16 Changing weight limit from 30 to 28.
% 18.97/19.16
% 18.97/19.16 Resetting weight limit to 28 after 260 givens.
% 18.97/19.16
% 20.19/20.36
% 20.19/20.36
% 20.19/20.36 Changing weight limit from 28 to 26.
% 20.19/20.36
% 20.19/20.36 Resetting weight limit to 26 after 285 givens.
% 20.19/20.36
% 38.00/38.23
% 38.00/38.23 -- HEY sandbox, WE HAVE A PROOF!! --
% 38.00/38.23
% 38.00/38.23 Model 8 [ 3 1 861 ] (0.00 seconds, 182148 Inserts)
% 38.00/38.23
% 38.00/38.23 Modelling stopped after 300 given clauses and 0.00 seconds
% 38.00/38.23
% 38.00/38.23
% 38.00/38.23 ----> UNIT CONFLICT at 37.78 sec ----> 20846 [binary,20845.1,2.1] {-} $F.
% 38.00/38.23
% 38.00/38.23 Length of proof is 83. Level of proof is 48.
% 38.00/38.23
% 38.00/38.23 ---------------- PROOF ----------------
% 38.00/38.23 % SZS status Unsatisfiable
% 38.00/38.23 % SZS output start Refutation
% 38.00/38.23
% 38.00/38.23 1 [] {+} -is_a_theorem(implies(A,B))| -is_a_theorem(A)|is_a_theorem(B).
% 38.00/38.23 2 [] {+} -is_a_theorem(implies(implies(a,b),implies(implies(b,c),implies(a,c)))).
% 38.00/38.23 3 [] {-} is_a_theorem(implies(implies(implies(A,B),implies(C,D)),implies(implies(D,A),implies(E,implies(C,A))))).
% 38.00/38.23 4 [hyper,3,1,3] {-} is_a_theorem(implies(implies(implies(A,implies(B,C)),implies(C,D)),implies(E,implies(implies(F,C),implies(C,D))))).
% 38.00/38.23 5 [hyper,4,1,4] {-} is_a_theorem(implies(A,implies(implies(B,C),implies(C,implies(implies(D,E),implies(E,C)))))).
% 38.00/38.23 6 [hyper,4,1,3] {-} is_a_theorem(implies(implies(implies(implies(A,B),implies(B,C)),implies(D,implies(E,B))),implies(F,implies(G,implies(D,implies(E,B)))))).
% 38.00/38.23 7 [hyper,5,1,5] {-} is_a_theorem(implies(implies(A,B),implies(B,implies(implies(C,D),implies(D,B))))).
% 38.00/38.23 11 [hyper,7,1,3] {-} is_a_theorem(implies(implies(implies(implies(A,B),implies(B,C)),D),implies(E,implies(C,D)))).
% 38.00/38.23 17 [hyper,11,1,4] {-} is_a_theorem(implies(A,implies(implies(B,C),implies(C,implies(D,implies(E,C)))))).
% 38.00/38.23 18 [hyper,11,1,3] {-} is_a_theorem(implies(implies(implies(A,B),implies(implies(C,D),implies(D,A))),implies(E,implies(F,implies(implies(C,D),implies(D,A)))))).
% 38.00/38.23 21 [hyper,11,1,3] {-} is_a_theorem(implies(A,implies(B,implies(implies(B,C),implies(D,implies(E,C)))))).
% 38.00/38.23 23 [hyper,6,1,3] {-} is_a_theorem(implies(implies(implies(A,implies(B,implies(C,D))),implies(implies(E,D),implies(D,F))),implies(G,implies(H,implies(implies(E,D),implies(D,F)))))).
% 38.00/38.23 38 [hyper,17,1,17] {-} is_a_theorem(implies(implies(A,B),implies(B,implies(C,implies(D,B))))).
% 38.00/38.23 44 [hyper,38,1,3] {-} is_a_theorem(implies(implies(implies(A,implies(B,C)),D),implies(E,implies(C,D)))).
% 38.00/38.23 54 [hyper,18,1,3] {-} is_a_theorem(implies(A,implies(B,implies(implies(C,D),implies(D,implies(D,D)))))).
% 38.00/38.23 56 [hyper,21,1,21] {-} is_a_theorem(implies(A,implies(implies(A,B),implies(C,implies(D,B))))).
% 38.00/38.23 58 [hyper,21,1,3] {-} is_a_theorem(implies(implies(implies(implies(A,B),implies(C,implies(D,B))),E),implies(F,implies(A,E)))).
% 38.00/38.23 63 [hyper,56,1,3] {-} is_a_theorem(implies(implies(implies(A,implies(B,C)),D),implies(E,implies(implies(implies(D,F),C),D)))).
% 38.00/38.23 87 [hyper,23,1,3] {-} is_a_theorem(implies(A,implies(B,implies(implies(implies(C,D),D),implies(D,implies(E,D)))))).
% 38.00/38.23 106 [hyper,54,1,54] {-} is_a_theorem(implies(A,implies(implies(B,C),implies(C,implies(C,C))))).
% 38.00/38.23 109 [hyper,106,1,106] {-} is_a_theorem(implies(implies(A,B),implies(B,implies(B,B)))).
% 38.00/38.23 114 [hyper,109,1,3] {-} is_a_theorem(implies(implies(implies(A,A),B),implies(C,implies(A,B)))).
% 38.00/38.23 122 [hyper,114,1,3] {-} is_a_theorem(implies(implies(implies(A,B),implies(A,A)),implies(C,implies(D,implies(A,A))))).
% 38.00/38.23 272 [hyper,87,1,87] {-} is_a_theorem(implies(A,implies(implies(implies(B,C),C),implies(C,implies(D,C))))).
% 38.00/38.23 277 [hyper,272,1,272] {-} is_a_theorem(implies(implies(implies(A,B),B),implies(B,implies(C,B)))).
% 38.00/38.23 371 [hyper,122,1,114] {-} is_a_theorem(implies(A,implies(B,implies(implies(C,C),implies(C,C))))).
% 38.00/38.23 378 [hyper,371,1,371] {+} is_a_theorem(implies(A,implies(implies(B,B),implies(B,B)))).
% 38.00/38.23 403 [hyper,378,1,378] {+} is_a_theorem(implies(implies(A,A),implies(A,A))).
% 38.00/38.23 468 [hyper,403,1,122] {+} is_a_theorem(implies(A,implies(B,implies(C,C)))).
% 38.00/38.23 484 [hyper,468,1,468] {+} is_a_theorem(implies(A,implies(B,B))).
% 38.00/38.23 491 [hyper,468,1,3] {-} is_a_theorem(implies(implies(implies(A,A),B),implies(C,implies(D,B)))).
% 38.00/38.23 502 [hyper,484,1,484] {+} is_a_theorem(implies(A,A)).
% 38.00/38.23 504 [hyper,484,1,3] {+} is_a_theorem(implies(implies(A,B),implies(C,implies(A,B)))).
% 38.00/38.23 512 [hyper,504,1,3] {-} is_a_theorem(implies(implies(implies(A,B),A),implies(C,implies(D,A)))).
% 38.00/38.23 548 [hyper,502,1,38] {+} is_a_theorem(implies(A,implies(B,implies(C,A)))).
% 38.00/38.23 569 [hyper,548,1,3] {-} is_a_theorem(implies(implies(implies(A,implies(B,C)),B),implies(D,implies(E,B)))).
% 38.00/38.23 588 [hyper,63,1,512] {-} is_a_theorem(implies(A,implies(B,implies(C,implies(implies(implies(D,E),D),D))))).
% 38.00/38.23 640 [hyper,588,1,588] {-} is_a_theorem(implies(A,implies(B,implies(implies(implies(C,D),C),C)))).
% 38.00/38.23 649 [hyper,640,1,640] {-} is_a_theorem(implies(A,implies(implies(implies(B,C),B),B))).
% 38.00/38.23 652 [hyper,649,1,649] {+} is_a_theorem(implies(implies(implies(A,B),A),A)).
% 38.00/38.23 653 [hyper,649,1,3] {-} is_a_theorem(implies(implies(A,B),implies(C,implies(implies(implies(A,D),A),B)))).
% 38.00/38.23 662 [hyper,652,1,277] {+} is_a_theorem(implies(A,implies(B,A))).
% 38.00/38.23 663 [hyper,652,1,63] {-} is_a_theorem(implies(A,implies(implies(implies(implies(B,C),D),C),implies(B,C)))).
% 38.00/38.23 664 [hyper,652,1,44] {+} is_a_theorem(implies(A,implies(B,implies(C,B)))).
% 38.00/38.23 673 [hyper,664,1,3] {-} is_a_theorem(implies(implies(implies(A,B),C),implies(D,implies(B,C)))).
% 38.00/38.23 731 [hyper,653,1,662] {-} is_a_theorem(implies(A,implies(implies(implies(B,C),B),implies(D,B)))).
% 38.00/38.23 754 [hyper,731,1,731] {-} is_a_theorem(implies(implies(implies(A,B),A),implies(C,A))).
% 38.00/38.23 765 [hyper,754,1,3] {-} is_a_theorem(implies(implies(A,implies(A,B)),implies(C,implies(D,implies(A,B))))).
% 38.00/38.23 767 [hyper,754,1,58] {-} is_a_theorem(implies(A,implies(implies(B,C),implies(B,implies(D,C))))).
% 38.00/38.23 785 [hyper,765,1,765] {-} is_a_theorem(implies(A,implies(B,implies(implies(C,implies(C,D)),implies(E,implies(C,D)))))).
% 38.00/38.23 797 [hyper,765,1,673] {-} is_a_theorem(implies(A,implies(B,implies(implies(implies(C,D),E),implies(D,E))))).
% 38.00/38.23 801 [hyper,765,1,491] {-} is_a_theorem(implies(A,implies(B,implies(implies(implies(C,C),D),implies(E,D))))).
% 38.00/38.23 867 [hyper,797,1,797] {-} is_a_theorem(implies(A,implies(implies(implies(B,C),D),implies(C,D)))).
% 38.00/38.23 876 [hyper,867,1,867] {-} is_a_theorem(implies(implies(implies(A,B),C),implies(B,C))).
% 38.00/38.23 881 [hyper,876,1,3] {-} is_a_theorem(implies(implies(A,B),implies(implies(B,C),implies(D,implies(A,C))))).
% 38.00/38.23 882 [hyper,801,1,801] {-} is_a_theorem(implies(A,implies(implies(implies(B,B),C),implies(D,C)))).
% 38.00/38.23 910 [hyper,882,1,882] {-} is_a_theorem(implies(implies(implies(A,A),B),implies(C,B))).
% 38.00/38.23 913 [hyper,910,1,765] {-} is_a_theorem(implies(A,implies(B,implies(implies(implies(C,C),D),D)))).
% 38.00/38.23 916 [hyper,913,1,913] {-} is_a_theorem(implies(A,implies(implies(implies(B,B),C),C))).
% 38.00/38.23 925 [hyper,916,1,916] {+} is_a_theorem(implies(implies(implies(A,A),B),B)).
% 38.00/38.23 927 [hyper,916,1,3] {-} is_a_theorem(implies(implies(A,B),implies(C,implies(implies(implies(D,D),A),B)))).
% 38.00/38.23 955 [hyper,767,1,3] {-} is_a_theorem(implies(implies(implies(A,implies(B,C)),D),implies(E,implies(implies(A,C),D)))).
% 38.00/38.23 1011 [hyper,663,1,925] {-} is_a_theorem(implies(implies(implies(implies(A,B),C),B),implies(A,B))).
% 38.00/38.23 1265 [hyper,927,1,652] {-} is_a_theorem(implies(A,implies(implies(implies(B,B),implies(implies(C,D),C)),C))).
% 38.00/38.23 1375 [hyper,1265,1,1265] {+} is_a_theorem(implies(implies(implies(A,A),implies(implies(B,C),B)),B)).
% 38.00/38.23 1632 [hyper,785,1,1375] {-} is_a_theorem(implies(implies(A,implies(A,B)),implies(C,implies(A,B)))).
% 38.00/38.23 1643 [hyper,1632,1,1632] {+} is_a_theorem(implies(A,implies(implies(B,implies(B,C)),implies(B,C)))).
% 38.00/38.23 1653 [hyper,1632,1,58] {-} is_a_theorem(implies(A,implies(B,implies(C,implies(implies(B,D),implies(E,D)))))).
% 38.00/38.23 1662 [hyper,1632,1,569] {-} is_a_theorem(implies(A,implies(implies(implies(B,implies(C,D)),C),implies(E,C)))).
% 38.00/38.23 1690 [hyper,1653,1,1653] {-} is_a_theorem(implies(A,implies(B,implies(implies(A,C),implies(D,C))))).
% 38.00/38.23 1702 [hyper,1690,1,1632] {-} is_a_theorem(implies(A,implies(B,implies(implies(B,C),implies(D,C))))).
% 38.00/38.23 1851 [hyper,1702,1,1702] {-} is_a_theorem(implies(A,implies(implies(A,B),implies(C,B)))).
% 38.00/38.23 1931 [hyper,1851,1,662] {-} is_a_theorem(implies(implies(implies(A,implies(B,A)),C),implies(D,C))).
% 38.00/38.23 2119 [hyper,1931,1,1632] {-} is_a_theorem(implies(A,implies(implies(implies(B,implies(C,B)),D),D))).
% 38.00/38.23 2130 [hyper,2119,1,2119] {-} is_a_theorem(implies(implies(implies(A,implies(B,A)),C),C)).
% 38.00/38.23 2352 [hyper,1662,1,2130] {-} is_a_theorem(implies(implies(implies(A,implies(B,C)),B),implies(D,B))).
% 38.00/38.23 2369 [hyper,2352,1,1632] {-} is_a_theorem(implies(A,implies(implies(implies(B,implies(C,D)),C),C))).
% 38.00/38.23 2375 [hyper,2369,1,2369] {-} is_a_theorem(implies(implies(implies(A,implies(B,C)),B),B)).
% 38.00/38.23 2558 [hyper,1643,1,2375] {+} is_a_theorem(implies(implies(A,implies(A,B)),implies(A,B))).
% 38.00/38.23 5130 [hyper,955,1,652] {+} is_a_theorem(implies(A,implies(implies(A,B),B))).
% 38.00/38.23 5223 [hyper,5130,1,881] {-} is_a_theorem(implies(implies(implies(implies(A,B),B),C),implies(D,implies(A,C)))).
% 38.00/38.23 5308 [hyper,5130,1,2558] {-} is_a_theorem(implies(implies(implies(implies(A,implies(A,B)),implies(A,B)),C),C)).
% 38.00/38.23 7469 [hyper,5223,1,1011] {-} is_a_theorem(implies(implies(A,implies(B,implies(A,C))),implies(B,implies(A,C)))).
% 38.00/38.23 11271 [hyper,7469,1,881] {-} is_a_theorem(implies(implies(A,B),implies(implies(C,A),implies(C,B)))).
% 38.00/38.23 11315 [hyper,11271,1,5308] {-} is_a_theorem(implies(implies(A,implies(B,implies(B,C))),implies(A,implies(B,C)))).
% 38.00/38.23 20845 [hyper,11315,1,881] {-} is_a_theorem(implies(implies(A,B),implies(implies(B,C),implies(A,C)))).
% 38.00/38.23 20846 [binary,20845.1,2.1] {-} $F.
% 38.00/38.23
% 38.00/38.23 % SZS output end Refutation
% 38.00/38.23 ------------ end of proof -------------
% 38.00/38.23
% 38.00/38.23
% 38.00/38.23 Search stopped by max_proofs option.
% 38.00/38.23
% 38.00/38.23
% 38.00/38.23 Search stopped by max_proofs option.
% 38.00/38.23
% 38.00/38.23 ============ end of search ============
% 38.00/38.23
% 38.00/38.23 ----------- soft-scott stats ----------
% 38.00/38.23
% 38.00/38.23 true clauses given 43 (9.4%)
% 38.00/38.23 false clauses given 415
% 38.00/38.23
% 38.00/38.23 FALSE TRUE
% 38.00/38.23 14 72 33
% 38.00/38.23 16 681 108
% 38.00/38.23 18 1759 189
% 38.00/38.23 20 112 211
% 38.00/38.23 22 57 175
% 38.00/38.23 24 55 90
% 38.00/38.23 26 34 22
% 38.00/38.23 tot: 2770 828 (23.0% true)
% 38.00/38.23
% 38.00/38.23
% 38.00/38.23 Model 8 [ 3 1 861 ] (0.00 seconds, 182148 Inserts)
% 38.00/38.23
% 38.00/38.23 That finishes the proof of the theorem.
% 38.00/38.23
% 38.00/38.23 Process 12444 finished Sun Jul 3 17:48:38 2022
%------------------------------------------------------------------------------