TSTP Solution File: LCL403-1 by SOS---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : LCL403-1 : 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 14:29:57 EDT 2022
% Result : Unsatisfiable 53.35s 53.55s
% Output : Refutation 53.35s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : LCL403-1 : TPTP v8.1.0. Released v2.3.0.
% 0.11/0.12 % Command : sos-script %s
% 0.12/0.33 % Computer : n013.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 : Sat Jul 2 19:49:29 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.35 ----- Otter 3.2, August 2001 -----
% 0.12/0.35 The process was started by sandbox2 on n013.cluster.edu,
% 0.12/0.35 Sat Jul 2 19:49:29 2022
% 0.12/0.35 The command was "./sos". The process ID is 18649.
% 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=0, symmetry=0, max_lits=3.
% 0.12/0.35
% 0.12/0.35 This is a Horn set without equality. The strategy will
% 0.12/0.35 be hyperresolution, with satellites in sos and nuclei
% 0.12/0.35 in usable.
% 0.12/0.35
% 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
% 0.12/0.35 ======= end of input processing =======
% 0.12/0.37
% 0.12/0.37 Model 1 (0.00 seconds, 0 Inserts)
% 0.12/0.37
% 0.12/0.37 Stopped by limit on number of solutions
% 0.12/0.37
% 0.12/0.37
% 0.12/0.37 -------------- Softie stats --------------
% 0.12/0.37
% 0.12/0.37 UPDATE_STOP: 300
% 0.12/0.37 SFINDER_TIME_LIMIT: 2
% 0.12/0.37 SHORT_CLAUSE_CUTOFF: 4
% 0.12/0.37 number of clauses in intial UL: 2
% 0.12/0.37 number of clauses initially in problem: 5
% 0.12/0.37 percentage of clauses intially in UL: 40
% 0.12/0.37 percentage of distinct symbols occuring in initial UL: 100
% 0.12/0.37 percent of all initial clauses that are short: 100
% 0.12/0.37 absolute distinct symbol count: 5
% 0.12/0.37 distinct predicate count: 1
% 0.12/0.37 distinct function count: 2
% 0.12/0.37 distinct constant count: 2
% 0.12/0.37
% 0.12/0.37 ---------- no more Softie stats ----------
% 0.12/0.37
% 0.12/0.37
% 0.12/0.37
% 0.12/0.37 =========== start of search ===========
% 22.22/22.41
% 22.22/22.41
% 22.22/22.41 Changing weight limit from 60 to 59.
% 22.22/22.41
% 22.22/22.41 Model 2 (0.00 seconds, 0 Inserts)
% 22.22/22.41
% 22.22/22.41 Stopped by limit on number of solutions
% 22.22/22.41
% 22.22/22.41 Model 3 (0.00 seconds, 0 Inserts)
% 22.22/22.41
% 22.22/22.41 Stopped by limit on number of solutions
% 22.22/22.41
% 22.22/22.41 Stopped by limit on insertions
% 22.22/22.41
% 22.22/22.41 Model 4 [ 1 1 167 ] (0.00 seconds, 250000 Inserts)
% 22.22/22.41
% 22.22/22.41 Stopped by limit on insertions
% 22.22/22.41
% 22.22/22.41 Model 5 [ 1 0 229 ] (0.00 seconds, 250000 Inserts)
% 22.22/22.41
% 22.22/22.41 Stopped by limit on insertions
% 22.22/22.41
% 22.22/22.41 Model 6 [ 1 0 107 ] (0.00 seconds, 250000 Inserts)
% 22.22/22.41
% 22.22/22.41 Stopped by limit on insertions
% 22.22/22.41
% 22.22/22.41 Stopped by limit on insertions
% 22.22/22.41
% 22.22/22.41 Model 7 [ 1 1 42 ] (0.00 seconds, 250000 Inserts)
% 22.22/22.41
% 22.22/22.41 Resetting weight limit to 59 after 145 givens.
% 22.22/22.41
% 46.72/46.91
% 46.72/46.91
% 46.72/46.91 Changing weight limit from 59 to 60.
% 46.72/46.91
% 46.72/46.91 Stopped by limit on insertions
% 46.72/46.91
% 46.72/46.91 Stopped by limit on insertions
% 46.72/46.91
% 46.72/46.91 Model 8 [ 1 0 462 ] (0.00 seconds, 250000 Inserts)
% 46.72/46.91
% 46.72/46.91 Stopped by limit on insertions
% 46.72/46.91
% 46.72/46.91 Model 9 [ 1 1 2815 ] (0.00 seconds, 250000 Inserts)
% 46.72/46.91
% 46.72/46.91 Stopped by limit on insertions
% 46.72/46.91
% 46.72/46.91 Model 10 [ 2 1 256 ] (0.00 seconds, 250000 Inserts)
% 46.72/46.91
% 46.72/46.91 Resetting weight limit to 60 after 175 givens.
% 46.72/46.91
% 46.72/46.94
% 46.72/46.94
% 46.72/46.94 Changing weight limit from 60 to 59.
% 46.72/46.94
% 46.72/46.94 Resetting weight limit to 59 after 180 givens.
% 46.72/46.94
% 47.94/48.12
% 47.94/48.12
% 47.94/48.12 Changing weight limit from 59 to 37.
% 47.94/48.12
% 47.94/48.12 Resetting weight limit to 37 after 335 givens.
% 47.94/48.12
% 47.97/48.14
% 47.97/48.14
% 47.97/48.14 Changing weight limit from 37 to 34.
% 47.97/48.14
% 47.97/48.14 Resetting weight limit to 34 after 340 givens.
% 47.97/48.14
% 48.05/48.23
% 48.05/48.23
% 48.05/48.23 Changing weight limit from 34 to 26.
% 48.05/48.23
% 48.05/48.23 Resetting weight limit to 26 after 345 givens.
% 48.05/48.23
% 48.05/48.26
% 48.05/48.26
% 48.05/48.26 Changing weight limit from 26 to 25.
% 48.05/48.26
% 48.05/48.26 Resetting weight limit to 25 after 350 givens.
% 48.05/48.26
% 48.27/48.44
% 48.27/48.44
% 48.27/48.44 Changing weight limit from 25 to 23.
% 48.27/48.44
% 48.27/48.44 Resetting weight limit to 23 after 360 givens.
% 48.27/48.44
% 48.40/48.58
% 48.40/48.58
% 48.40/48.58 Changing weight limit from 23 to 22.
% 48.40/48.58
% 48.40/48.58 Resetting weight limit to 22 after 375 givens.
% 48.40/48.58
% 48.40/48.62
% 48.40/48.62
% 48.40/48.62 Changing weight limit from 22 to 21.
% 48.40/48.62
% 48.40/48.62 Resetting weight limit to 21 after 380 givens.
% 48.40/48.62
% 48.52/48.71
% 48.52/48.71
% 48.52/48.71 Changing weight limit from 21 to 20.
% 48.52/48.71
% 48.52/48.71 Modelling stopped after 300 given clauses and 0.00 seconds
% 48.52/48.71
% 48.52/48.71
% 48.52/48.71 Resetting weight limit to 20 after 400 givens.
% 48.52/48.71
% 48.71/48.89
% 48.71/48.89
% 48.71/48.89 Changing weight limit from 20 to 19.
% 48.71/48.89
% 48.71/48.89 Resetting weight limit to 19 after 435 givens.
% 48.71/48.89
% 48.86/49.11
% 48.86/49.11
% 48.86/49.11 Changing weight limit from 19 to 18.
% 48.86/49.11
% 48.86/49.11 Resetting weight limit to 18 after 490 givens.
% 48.86/49.11
% 49.16/49.37
% 49.16/49.37
% 49.16/49.37 Changing weight limit from 18 to 17.
% 49.16/49.37
% 49.16/49.37 Resetting weight limit to 17 after 555 givens.
% 49.16/49.37
% 49.41/49.59
% 49.41/49.59
% 49.41/49.59 Changing weight limit from 17 to 16.
% 49.41/49.59
% 49.41/49.59 Resetting weight limit to 16 after 610 givens.
% 49.41/49.59
% 50.24/50.46
% 50.24/50.46
% 50.24/50.46 Changing weight limit from 16 to 15.
% 50.24/50.46
% 50.24/50.46 Resetting weight limit to 15 after 940 givens.
% 50.24/50.46
% 52.94/53.11
% 52.94/53.11
% 52.94/53.11 Changing weight limit from 15 to 14.
% 52.94/53.11
% 52.94/53.11 Resetting weight limit to 14 after 1810 givens.
% 52.94/53.11
% 53.35/53.55
% 53.35/53.55 -- HEY sandbox2, WE HAVE A PROOF!! --
% 53.35/53.55
% 53.35/53.55 ----> UNIT CONFLICT at 52.64 sec ----> 49289 [binary,49288.1,2.1] {-} $F.
% 53.35/53.55
% 53.35/53.55 Length of proof is 40. Level of proof is 21.
% 53.35/53.55
% 53.35/53.55 ---------------- PROOF ----------------
% 53.35/53.55 % SZS status Unsatisfiable
% 53.35/53.55 % SZS output start Refutation
% 53.35/53.55
% 53.35/53.55 1 [] {+} -is_a_theorem(implies(A,B))| -is_a_theorem(A)|is_a_theorem(B).
% 53.35/53.55 2 [] {+} -is_a_theorem(implies(x,implies(not(y),not(implies(x,y))))).
% 53.35/53.55 3 [] {-} is_a_theorem(implies(implies(A,B),implies(implies(B,C),implies(A,C)))).
% 53.35/53.55 4 [] {+} is_a_theorem(implies(implies(not(A),A),A)).
% 53.35/53.55 5 [] {+} is_a_theorem(implies(A,implies(not(A),B))).
% 53.35/53.55 6 [hyper,3,1,3] {-} is_a_theorem(implies(implies(implies(implies(A,B),implies(C,B)),D),implies(implies(C,A),D))).
% 53.35/53.55 7 [hyper,4,1,3] {-} is_a_theorem(implies(implies(A,B),implies(implies(not(A),A),B))).
% 53.35/53.55 9 [hyper,5,1,3] {-} is_a_theorem(implies(implies(implies(not(A),B),C),implies(A,C))).
% 53.35/53.55 12 [hyper,7,1,7] {+} is_a_theorem(implies(implies(not(implies(A,B)),implies(A,B)),implies(implies(not(A),A),B))).
% 53.35/53.55 17 [hyper,7,1,3] {-} is_a_theorem(implies(implies(not(implies(A,B)),implies(A,B)),implies(implies(B,C),implies(A,C)))).
% 53.35/53.55 21 [hyper,6,1,7] {+} 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))).
% 53.35/53.55 22 [hyper,6,1,6] {+} is_a_theorem(implies(implies(A,implies(B,C)),implies(implies(D,B),implies(A,implies(D,C))))).
% 53.35/53.55 27 [hyper,6,1,3] {+} is_a_theorem(implies(implies(A,B),implies(implies(implies(A,C),D),implies(implies(B,C),D)))).
% 53.35/53.55 29 [hyper,9,1,6] {-} is_a_theorem(implies(implies(A,not(B)),implies(B,implies(A,C)))).
% 53.35/53.55 34 [hyper,9,1,4] {+} is_a_theorem(implies(A,A)).
% 53.35/53.55 36 [hyper,34,1,5] {+} is_a_theorem(implies(not(implies(A,A)),B)).
% 53.35/53.55 64 [hyper,29,1,9] {-} is_a_theorem(implies(A,implies(B,implies(not(A),C)))).
% 53.35/53.55 69 [hyper,29,1,36] {-} is_a_theorem(implies(A,implies(not(implies(B,B)),C))).
% 53.35/53.55 78 [hyper,64,1,3] {-} is_a_theorem(implies(implies(implies(A,implies(not(B),C)),D),implies(B,D))).
% 53.35/53.55 95 [hyper,69,1,3] {-} is_a_theorem(implies(implies(implies(not(implies(A,A)),B),C),implies(D,C))).
% 53.35/53.55 326 [hyper,95,1,12] {-} is_a_theorem(implies(A,implies(implies(not(B),B),B))).
% 53.35/53.55 343 [hyper,326,1,3] {-} is_a_theorem(implies(implies(implies(implies(not(A),A),A),B),implies(C,B))).
% 53.35/53.55 379 [hyper,343,1,6] {-} is_a_theorem(implies(implies(A,implies(not(B),B)),implies(C,implies(A,B)))).
% 53.35/53.55 408 [hyper,379,1,379] {-} is_a_theorem(implies(A,implies(implies(B,implies(not(C),C)),implies(B,C)))).
% 53.35/53.55 411 [hyper,379,1,78] {-} is_a_theorem(implies(A,implies(B,implies(C,A)))).
% 53.35/53.55 435 [hyper,411,1,379] {+} is_a_theorem(implies(A,implies(B,implies(C,B)))).
% 53.35/53.55 498 [hyper,435,1,17] {+} is_a_theorem(implies(implies(implies(A,B),C),implies(B,C))).
% 53.35/53.55 1632 [hyper,498,1,29] {-} is_a_theorem(implies(not(A),implies(A,implies(B,C)))).
% 53.35/53.55 1659 [hyper,1632,1,3] {-} is_a_theorem(implies(implies(implies(A,implies(B,C)),D),implies(not(A),D))).
% 53.35/53.55 3859 [hyper,1659,1,379] {-} is_a_theorem(implies(not(A),implies(B,implies(A,C)))).
% 53.35/53.55 3891 [hyper,3859,1,379] {-} is_a_theorem(implies(A,implies(not(B),implies(B,C)))).
% 53.35/53.55 3920 [hyper,3891,1,3891] {-} is_a_theorem(implies(not(A),implies(A,B))).
% 53.35/53.55 3952 [hyper,3891,1,17] {-} is_a_theorem(implies(implies(implies(A,B),C),implies(not(A),C))).
% 53.35/53.55 3961 [hyper,3920,1,379] {-} is_a_theorem(implies(A,implies(not(not(B)),B))).
% 53.35/53.55 3972 [hyper,3961,1,3961] {+} is_a_theorem(implies(not(not(A)),A)).
% 53.35/53.55 4019 [hyper,3972,1,27] {+} is_a_theorem(implies(implies(implies(not(not(A)),B),C),implies(implies(A,B),C))).
% 53.35/53.55 4313 [hyper,408,1,21] {-} is_a_theorem(implies(implies(not(A),B),implies(implies(B,A),A))).
% 53.35/53.55 4917 [hyper,4313,1,498] {+} is_a_theorem(implies(A,implies(implies(A,B),B))).
% 53.35/53.55 7955 [hyper,4917,1,22] {+} is_a_theorem(implies(implies(A,implies(B,C)),implies(B,implies(A,C)))).
% 53.35/53.55 7960 [hyper,4917,1,3] {+} is_a_theorem(implies(implies(implies(implies(A,B),B),C),implies(A,C))).
% 53.35/53.55 44573 [hyper,7955,1,4313] {+} is_a_theorem(implies(implies(A,B),implies(implies(not(B),A),B))).
% 53.35/53.55 46278 [hyper,44573,1,3952] {-} is_a_theorem(implies(not(A),implies(implies(not(B),A),B))).
% 53.35/53.55 46465 [hyper,46278,1,7955] {-} is_a_theorem(implies(implies(not(A),B),implies(not(B),A))).
% 53.35/53.55 49250 [hyper,4019,1,46465] {-} is_a_theorem(implies(implies(A,B),implies(not(B),not(A)))).
% 53.35/53.55 49288 [hyper,49250,1,7960] {-} is_a_theorem(implies(A,implies(not(B),not(implies(A,B))))).
% 53.35/53.55 49289 [binary,49288.1,2.1] {-} $F.
% 53.35/53.55
% 53.35/53.55 % SZS output end Refutation
% 53.35/53.55 ------------ end of proof -------------
% 53.35/53.55
% 53.35/53.55
% 53.35/53.55 Search stopped by max_proofs option.
% 53.35/53.55
% 53.35/53.55
% 53.35/53.55 Search stopped by max_proofs option.
% 53.35/53.55
% 53.35/53.55 ============ end of search ============
% 53.35/53.55
% 53.35/53.55 ----------- soft-scott stats ----------
% 53.35/53.55
% 53.35/53.55 true clauses given 517 (26.5%)
% 53.35/53.55 false clauses given 1435
% 53.35/53.55
% 53.35/53.55 FALSE TRUE
% 53.35/53.55 10 1 0
% 53.35/53.55 12 15 447
% 53.35/53.55 13 379 728
% 53.35/53.55 14 2044 1343
% 53.35/53.55 tot: 2439 2518 (50.8% true)
% 53.35/53.55
% 53.35/53.55
% 53.35/53.55 Model 10 [ 2 1 256 ] (0.00 seconds, 250000 Inserts)
% 53.35/53.55
% 53.35/53.55 That finishes the proof of the theorem.
% 53.35/53.55
% 53.35/53.55 Process 18649 finished Sat Jul 2 19:50:22 2022
%------------------------------------------------------------------------------