TSTP Solution File: LCL373-1 by SOS---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : LCL373-1 : TPTP v8.1.0. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : sos-script %s
% Computer : n025.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 14:29:45 EDT 2022
% Result : Unsatisfiable 24.81s 24.99s
% Output : Refutation 24.81s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LCL373-1 : TPTP v8.1.0. Released v2.3.0.
% 0.00/0.12 % Command : sos-script %s
% 0.12/0.33 % Computer : n025.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 08:08:55 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.35 ----- Otter 3.2, August 2001 -----
% 0.19/0.35 The process was started by sandbox on n025.cluster.edu,
% 0.19/0.35 Sun Jul 3 08:08:55 2022
% 0.19/0.35 The command was "./sos". The process ID is 8047.
% 0.19/0.35
% 0.19/0.35 set(prolog_style_variables).
% 0.19/0.35 set(auto).
% 0.19/0.35 dependent: set(auto1).
% 0.19/0.35 dependent: set(process_input).
% 0.19/0.35 dependent: clear(print_kept).
% 0.19/0.35 dependent: clear(print_new_demod).
% 0.19/0.35 dependent: clear(print_back_demod).
% 0.19/0.35 dependent: clear(print_back_sub).
% 0.19/0.35 dependent: set(control_memory).
% 0.19/0.35 dependent: assign(max_mem, 12000).
% 0.19/0.35 dependent: assign(pick_given_ratio, 4).
% 0.19/0.35 dependent: assign(stats_level, 1).
% 0.19/0.35 dependent: assign(pick_semantic_ratio, 3).
% 0.19/0.35 dependent: assign(sos_limit, 5000).
% 0.19/0.35 dependent: assign(max_weight, 60).
% 0.19/0.35 clear(print_given).
% 0.19/0.35
% 0.19/0.35 list(usable).
% 0.19/0.35
% 0.19/0.35 SCAN INPUT: prop=0, horn=1, equality=0, symmetry=0, max_lits=3.
% 0.19/0.35
% 0.19/0.35 This is a Horn set without equality. The strategy will
% 0.19/0.35 be hyperresolution, with satellites in sos and nuclei
% 0.19/0.35 in usable.
% 0.19/0.35
% 0.19/0.35 dependent: set(hyper_res).
% 0.19/0.35 dependent: clear(order_hyper).
% 0.19/0.35
% 0.19/0.35 ------------> process usable:
% 0.19/0.35
% 0.19/0.35 ------------> process sos:
% 0.19/0.35
% 0.19/0.35 ======= end of input processing =======
% 0.19/0.38
% 0.19/0.38 Model 1 (0.00 seconds, 0 Inserts)
% 0.19/0.38
% 0.19/0.38 Stopped by limit on number of solutions
% 0.19/0.38
% 0.19/0.38
% 0.19/0.38 -------------- Softie stats --------------
% 0.19/0.38
% 0.19/0.38 UPDATE_STOP: 300
% 0.19/0.38 SFINDER_TIME_LIMIT: 2
% 0.19/0.38 SHORT_CLAUSE_CUTOFF: 4
% 0.19/0.38 number of clauses in intial UL: 2
% 0.19/0.38 number of clauses initially in problem: 5
% 0.19/0.38 percentage of clauses intially in UL: 40
% 0.19/0.38 percentage of distinct symbols occuring in initial UL: 83
% 0.19/0.38 percent of all initial clauses that are short: 100
% 0.19/0.38 absolute distinct symbol count: 6
% 0.19/0.38 distinct predicate count: 1
% 0.19/0.38 distinct function count: 2
% 0.19/0.38 distinct constant count: 3
% 0.19/0.38
% 0.19/0.38 ---------- no more Softie stats ----------
% 0.19/0.38
% 0.19/0.38
% 0.19/0.38
% 0.19/0.38 =========== start of search ===========
% 16.81/17.04
% 16.81/17.04
% 16.81/17.04 Changing weight limit from 60 to 59.
% 16.81/17.04
% 16.81/17.04 Model 2 (0.00 seconds, 0 Inserts)
% 16.81/17.04
% 16.81/17.04 Stopped by limit on number of solutions
% 16.81/17.04
% 16.81/17.04 Model 3 (0.00 seconds, 0 Inserts)
% 16.81/17.04
% 16.81/17.04 Stopped by limit on number of solutions
% 16.81/17.04
% 16.81/17.04 Model 4 (0.00 seconds, 0 Inserts)
% 16.81/17.04
% 16.81/17.04 Stopped by limit on number of solutions
% 16.81/17.04
% 16.81/17.04 Stopped by limit on insertions
% 16.81/17.04
% 16.81/17.04 Model 5 [ 1 0 226 ] (0.00 seconds, 250000 Inserts)
% 16.81/17.04
% 16.81/17.04 Stopped by limit on insertions
% 16.81/17.04
% 16.81/17.04 Model 6 [ 1 0 308 ] (0.00 seconds, 250000 Inserts)
% 16.81/17.04
% 16.81/17.04 Stopped by limit on insertions
% 16.81/17.04
% 16.81/17.04 Model 7 [ 1 0 47 ] (0.00 seconds, 250000 Inserts)
% 16.81/17.04
% 16.81/17.04 Stopped by limit on insertions
% 16.81/17.04
% 16.81/17.04 Stopped by limit on insertions
% 16.81/17.04
% 16.81/17.04 Model 8 [ 1 4 27173 ] (0.00 seconds, 250000 Inserts)
% 16.81/17.04
% 16.81/17.04 Stopped by limit on insertions
% 16.81/17.04
% 16.81/17.04 Model 9 [ 6 2 13829 ] (0.00 seconds, 250000 Inserts)
% 16.81/17.04
% 16.81/17.04 Stopped by limit on insertions
% 16.81/17.04
% 16.81/17.04 Model 10 [ 2 1 765 ] (0.00 seconds, 250000 Inserts)
% 16.81/17.04
% 16.81/17.04 Stopped by limit on insertions
% 16.81/17.04
% 16.81/17.04 Model 11 [ 3 1 827 ] (0.00 seconds, 250000 Inserts)
% 16.81/17.04
% 16.81/17.04 Resetting weight limit to 59 after 205 givens.
% 16.81/17.04
% 16.97/17.15
% 16.97/17.15
% 16.97/17.15 Changing weight limit from 59 to 29.
% 16.97/17.15
% 16.97/17.15 Resetting weight limit to 29 after 215 givens.
% 16.97/17.15
% 17.11/17.31
% 17.11/17.31
% 17.11/17.31 Changing weight limit from 29 to 25.
% 17.11/17.31
% 17.11/17.31 Resetting weight limit to 25 after 220 givens.
% 17.11/17.31
% 17.22/17.43
% 17.22/17.43
% 17.22/17.43 Changing weight limit from 25 to 24.
% 17.22/17.43
% 17.22/17.43 Resetting weight limit to 24 after 230 givens.
% 17.22/17.43
% 17.27/17.48
% 17.27/17.48
% 17.27/17.48 Changing weight limit from 24 to 22.
% 17.27/17.48
% 17.27/17.48 Resetting weight limit to 22 after 235 givens.
% 17.27/17.48
% 22.41/22.66
% 22.41/22.66
% 22.41/22.66 Changing weight limit from 22 to 20.
% 22.41/22.66
% 22.41/22.66 Stopped by limit on insertions
% 22.41/22.66
% 22.41/22.66 Model 12 [ 3 1 794 ] (0.00 seconds, 250000 Inserts)
% 22.41/22.66
% 22.41/22.66 Stopped by limit on insertions
% 22.41/22.66
% 22.41/22.66 Model 13 [ 4 1 446 ] (0.00 seconds, 250000 Inserts)
% 22.41/22.66
% 22.41/22.66 Resetting weight limit to 20 after 365 givens.
% 22.41/22.66
% 22.41/22.67
% 22.41/22.67
% 22.41/22.67 Changing weight limit from 20 to 19.
% 22.41/22.67
% 22.41/22.67 Resetting weight limit to 19 after 370 givens.
% 22.41/22.67
% 22.54/22.72
% 22.54/22.72
% 22.54/22.72 Changing weight limit from 19 to 18.
% 22.54/22.72
% 22.54/22.72 Resetting weight limit to 18 after 380 givens.
% 22.54/22.72
% 22.54/22.78
% 22.54/22.78
% 22.54/22.78 Changing weight limit from 18 to 17.
% 22.54/22.78
% 22.54/22.78 Resetting weight limit to 17 after 395 givens.
% 22.54/22.78
% 22.71/22.93
% 22.71/22.93
% 22.71/22.93 Changing weight limit from 17 to 16.
% 22.71/22.93
% 22.71/22.93 Modelling stopped after 300 given clauses and 0.00 seconds
% 22.71/22.93
% 22.71/22.93
% 22.71/22.93 Resetting weight limit to 16 after 450 givens.
% 22.71/22.93
% 23.02/23.24
% 23.02/23.24
% 23.02/23.24 Changing weight limit from 16 to 15.
% 23.02/23.24
% 23.02/23.24 Resetting weight limit to 15 after 575 givens.
% 23.02/23.24
% 24.42/24.66
% 24.42/24.66
% 24.42/24.66 Changing weight limit from 15 to 14.
% 24.42/24.66
% 24.42/24.66 Resetting weight limit to 14 after 1165 givens.
% 24.42/24.66
% 24.81/24.99
% 24.81/24.99 -- HEY sandbox, WE HAVE A PROOF!! --
% 24.81/24.99
% 24.81/24.99 ----> UNIT CONFLICT at 24.36 sec ----> 29972 [binary,29971.1,2.1] {-} $F.
% 24.81/24.99
% 24.81/24.99 Length of proof is 36. Level of proof is 21.
% 24.81/24.99
% 24.81/24.99 ---------------- PROOF ----------------
% 24.81/24.99 % SZS status Unsatisfiable
% 24.81/24.99 % SZS output start Refutation
% 24.81/24.99
% 24.81/24.99 1 [] {+} -is_a_theorem(implies(A,B))| -is_a_theorem(A)|is_a_theorem(B).
% 24.81/24.99 2 [] {+} -is_a_theorem(implies(implies(implies(x,y),z),implies(implies(x,z),z))).
% 24.81/24.99 3 [] {-} is_a_theorem(implies(implies(A,B),implies(implies(B,C),implies(A,C)))).
% 24.81/24.99 4 [] {+} is_a_theorem(implies(implies(not(A),A),A)).
% 24.81/24.99 5 [] {+} is_a_theorem(implies(A,implies(not(A),B))).
% 24.81/24.99 6 [hyper,3,1,3] {-} is_a_theorem(implies(implies(implies(implies(A,B),implies(C,B)),D),implies(implies(C,A),D))).
% 24.81/24.99 7 [hyper,4,1,3] {+} is_a_theorem(implies(implies(A,B),implies(implies(not(A),A),B))).
% 24.81/24.99 9 [hyper,5,1,3] {-} is_a_theorem(implies(implies(implies(not(A),B),C),implies(A,C))).
% 24.81/24.99 15 [hyper,9,1,4] {+} is_a_theorem(implies(A,A)).
% 24.81/24.99 18 [hyper,6,1,6] {-} is_a_theorem(implies(implies(A,implies(B,C)),implies(implies(D,B),implies(A,implies(D,C))))).
% 24.81/24.99 21 [hyper,6,1,9] {-} is_a_theorem(implies(implies(A,not(B)),implies(B,implies(A,C)))).
% 24.81/24.99 24 [hyper,21,1,9] {+} is_a_theorem(implies(A,implies(B,implies(not(A),C)))).
% 24.81/24.99 26 [hyper,21,1,3] {-} is_a_theorem(implies(implies(implies(A,implies(B,C)),D),implies(implies(B,not(A)),D))).
% 24.81/24.99 43 [hyper,7,1,6] {-} is_a_theorem(implies(implies(not(implies(implies(implies(A,B),implies(C,B)),D)),implies(implies(implies(A,B),implies(C,B)),D)),implies(implies(C,A),D))).
% 24.81/24.99 55 [hyper,24,1,3] {-} is_a_theorem(implies(implies(implies(A,implies(not(B),C)),D),implies(B,D))).
% 24.81/24.99 71 [hyper,55,1,3] {-} is_a_theorem(implies(A,implies(implies(implies(not(A),B),C),implies(D,C)))).
% 24.81/24.99 85 [hyper,71,1,15] {-} is_a_theorem(implies(implies(implies(not(implies(A,A)),B),C),implies(D,C))).
% 24.81/24.99 111 [hyper,85,1,4] {+} is_a_theorem(implies(A,implies(B,B))).
% 24.81/24.99 162 [hyper,111,1,3] {-} is_a_theorem(implies(implies(implies(A,A),B),implies(C,B))).
% 24.81/24.99 198 [hyper,162,1,3] {-} is_a_theorem(implies(implies(implies(A,B),C),implies(implies(implies(D,D),B),C))).
% 24.81/24.99 203 [hyper,162,1,7] {+} is_a_theorem(implies(A,implies(implies(not(B),B),B))).
% 24.81/24.99 437 [hyper,203,1,18] {-} is_a_theorem(implies(implies(A,implies(not(B),B)),implies(C,implies(A,B)))).
% 24.81/24.99 941 [hyper,437,1,437] {-} is_a_theorem(implies(A,implies(implies(B,implies(not(C),C)),implies(B,C)))).
% 24.81/24.99 947 [hyper,437,1,55] {+} is_a_theorem(implies(A,implies(B,implies(C,A)))).
% 24.81/24.99 949 [hyper,437,1,26] {-} is_a_theorem(implies(implies(not(A),not(B)),implies(C,implies(B,A)))).
% 24.81/24.99 972 [hyper,947,1,437] {+} is_a_theorem(implies(A,implies(B,implies(C,B)))).
% 24.81/24.99 1078 [hyper,972,1,972] {+} is_a_theorem(implies(A,implies(B,A))).
% 24.81/24.99 1440 [hyper,1078,1,3] {+} is_a_theorem(implies(implies(implies(A,B),C),implies(B,C))).
% 24.81/24.99 1734 [hyper,949,1,437] {-} is_a_theorem(implies(A,implies(implies(not(B),not(C)),implies(C,B)))).
% 24.81/24.99 1796 [hyper,1734,1,1734] {-} is_a_theorem(implies(implies(not(A),not(B)),implies(B,A))).
% 24.81/24.99 1820 [hyper,1796,1,198] {-} is_a_theorem(implies(implies(implies(A,A),not(B)),implies(B,C))).
% 24.81/24.99 2015 [hyper,1440,1,1820] {+} is_a_theorem(implies(not(A),implies(A,B))).
% 24.81/24.99 4654 [hyper,941,1,43] {-} is_a_theorem(implies(implies(not(A),B),implies(implies(B,A),A))).
% 24.81/24.99 4773 [hyper,4654,1,1440] {+} is_a_theorem(implies(A,implies(implies(A,B),B))).
% 24.81/24.99 4816 [hyper,4654,1,2015] {+} is_a_theorem(implies(implies(implies(A,B),A),A)).
% 24.81/24.99 4957 [hyper,4773,1,18] {+} is_a_theorem(implies(implies(A,implies(B,C)),implies(B,implies(A,C)))).
% 24.81/24.99 4964 [hyper,4773,1,4816] {-} is_a_theorem(implies(implies(implies(implies(implies(A,B),A),A),C),C)).
% 24.81/24.99 11159 [hyper,4964,1,6] {-} is_a_theorem(implies(implies(A,implies(implies(B,C),B)),implies(A,B))).
% 24.81/24.99 22450 [hyper,11159,1,6] {-} is_a_theorem(implies(implies(implies(A,B),C),implies(implies(C,A),A))).
% 24.81/24.99 27353 [hyper,22450,1,6] {-} is_a_theorem(implies(implies(A,B),implies(implies(implies(A,C),B),B))).
% 24.81/24.99 29971 [hyper,4957,1,27353] {-} is_a_theorem(implies(implies(implies(A,B),C),implies(implies(A,C),C))).
% 24.81/24.99 29972 [binary,29971.1,2.1] {-} $F.
% 24.81/24.99
% 24.81/24.99 % SZS output end Refutation
% 24.81/24.99 ------------ end of proof -------------
% 24.81/24.99
% 24.81/24.99
% 24.81/24.99 Search stopped by max_proofs option.
% 24.81/24.99
% 24.81/24.99
% 24.81/24.99 Search stopped by max_proofs option.
% 24.81/24.99
% 24.81/24.99 ============ end of search ============
% 24.81/24.99
% 24.81/24.99 ----------- soft-scott stats ----------
% 24.81/24.99
% 24.81/24.99 true clauses given 450 (34.0%)
% 24.81/24.99 false clauses given 875
% 24.81/24.99
% 24.81/24.99 FALSE TRUE
% 24.81/24.99 12 0 265
% 24.81/24.99 13 525 826
% 24.81/24.99 14 1961 1405
% 24.81/24.99 tot: 2486 2496 (50.1% true)
% 24.81/24.99
% 24.81/24.99
% 24.81/24.99 Model 13 [ 4 1 446 ] (0.00 seconds, 250000 Inserts)
% 24.81/24.99
% 24.81/24.99 That finishes the proof of the theorem.
% 24.81/24.99
% 24.81/24.99 Process 8047 finished Sun Jul 3 08:09:20 2022
%------------------------------------------------------------------------------