TSTP Solution File: LCL057-1 by SOS---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : LCL057-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : sos-script %s
% Computer : n005.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 14:27:38 EDT 2022
% Result : Unsatisfiable 5.82s 6.02s
% Output : Refutation 5.82s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : LCL057-1 : TPTP v8.1.0. Released v1.0.0.
% 0.00/0.12 % Command : sos-script %s
% 0.12/0.33 % Computer : n005.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 11:10:37 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.35 ----- Otter 3.2, August 2001 -----
% 0.18/0.35 The process was started by sandbox on n005.cluster.edu,
% 0.18/0.35 Mon Jul 4 11:10:37 2022
% 0.18/0.35 The command was "./sos". The process ID is 11928.
% 0.18/0.35
% 0.18/0.35 set(prolog_style_variables).
% 0.18/0.35 set(auto).
% 0.18/0.35 dependent: set(auto1).
% 0.18/0.35 dependent: set(process_input).
% 0.18/0.35 dependent: clear(print_kept).
% 0.18/0.35 dependent: clear(print_new_demod).
% 0.18/0.35 dependent: clear(print_back_demod).
% 0.18/0.35 dependent: clear(print_back_sub).
% 0.18/0.35 dependent: set(control_memory).
% 0.18/0.35 dependent: assign(max_mem, 12000).
% 0.18/0.35 dependent: assign(pick_given_ratio, 4).
% 0.18/0.35 dependent: assign(stats_level, 1).
% 0.18/0.35 dependent: assign(pick_semantic_ratio, 3).
% 0.18/0.35 dependent: assign(sos_limit, 5000).
% 0.18/0.35 dependent: assign(max_weight, 60).
% 0.18/0.35 clear(print_given).
% 0.18/0.35
% 0.18/0.35 list(usable).
% 0.18/0.35
% 0.18/0.35 SCAN INPUT: prop=0, horn=1, equality=0, symmetry=0, max_lits=3.
% 0.18/0.35
% 0.18/0.35 This is a Horn set without equality. The strategy will
% 0.18/0.35 be hyperresolution, with satellites in sos and nuclei
% 0.18/0.35 in usable.
% 0.18/0.35
% 0.18/0.35 dependent: set(hyper_res).
% 0.18/0.35 dependent: clear(order_hyper).
% 0.18/0.35
% 0.18/0.35 ------------> process usable:
% 0.18/0.35
% 0.18/0.35 ------------> process sos:
% 0.18/0.35
% 0.18/0.35 ======= end of input processing =======
% 0.18/0.37
% 0.18/0.37 Model 1 (0.00 seconds, 0 Inserts)
% 0.18/0.37
% 0.18/0.37 Stopped by limit on number of solutions
% 0.18/0.37
% 0.18/0.37
% 0.18/0.37 -------------- Softie stats --------------
% 0.18/0.37
% 0.18/0.37 UPDATE_STOP: 300
% 0.18/0.37 SFINDER_TIME_LIMIT: 2
% 0.18/0.37 SHORT_CLAUSE_CUTOFF: 4
% 0.18/0.37 number of clauses in intial UL: 2
% 0.18/0.37 number of clauses initially in problem: 5
% 0.18/0.37 percentage of clauses intially in UL: 40
% 0.18/0.37 percentage of distinct symbols occuring in initial UL: 100
% 0.18/0.37 percent of all initial clauses that are short: 100
% 0.18/0.37 absolute distinct symbol count: 4
% 0.18/0.37 distinct predicate count: 1
% 0.18/0.37 distinct function count: 2
% 0.18/0.37 distinct constant count: 1
% 0.18/0.37
% 0.18/0.37 ---------- no more Softie stats ----------
% 0.18/0.37
% 0.18/0.37
% 0.18/0.37
% 0.18/0.37 =========== start of search ===========
% 0.99/1.19
% 0.99/1.19
% 0.99/1.19 Changing weight limit from 60 to 59.
% 0.99/1.19
% 0.99/1.19 Model 2 (0.00 seconds, 0 Inserts)
% 0.99/1.19
% 0.99/1.19 Stopped by limit on number of solutions
% 0.99/1.19
% 0.99/1.19 Model 3 (0.00 seconds, 0 Inserts)
% 0.99/1.19
% 0.99/1.19 Stopped by limit on number of solutions
% 0.99/1.19
% 0.99/1.19 Model 4 (0.00 seconds, 0 Inserts)
% 0.99/1.19
% 0.99/1.19 Stopped by limit on number of solutions
% 0.99/1.19
% 0.99/1.19 Model 5 [ 1 1 255 ] (0.00 seconds, 25562 Inserts)
% 0.99/1.19
% 0.99/1.19 Resetting weight limit to 59 after 155 givens.
% 0.99/1.19
% 3.32/3.51
% 3.32/3.51
% 3.32/3.51 Changing weight limit from 59 to 38.
% 3.32/3.51
% 3.32/3.51 Resetting weight limit to 38 after 215 givens.
% 3.32/3.51
% 3.60/3.80
% 3.60/3.80
% 3.60/3.80 Changing weight limit from 38 to 32.
% 3.60/3.80
% 3.60/3.80 Resetting weight limit to 32 after 220 givens.
% 3.60/3.80
% 3.90/4.16
% 3.90/4.16
% 3.90/4.16 Changing weight limit from 32 to 31.
% 3.90/4.16
% 3.90/4.16 Resetting weight limit to 31 after 230 givens.
% 3.90/4.16
% 4.19/4.39
% 4.19/4.39
% 4.19/4.39 Changing weight limit from 31 to 29.
% 4.19/4.39
% 4.19/4.39 Resetting weight limit to 29 after 235 givens.
% 4.19/4.39
% 4.50/4.70
% 4.50/4.70
% 4.50/4.70 Changing weight limit from 29 to 28.
% 4.50/4.70
% 4.50/4.70 Resetting weight limit to 28 after 250 givens.
% 4.50/4.70
% 4.65/4.87
% 4.65/4.87
% 4.65/4.87 Changing weight limit from 28 to 27.
% 4.65/4.87
% 4.65/4.87 Resetting weight limit to 27 after 255 givens.
% 4.65/4.87
% 5.82/6.02
% 5.82/6.02 -------- PROOF --------
% 5.82/6.02 % SZS status Unsatisfiable
% 5.82/6.02 % SZS output start Refutation
% 5.82/6.02
% 5.82/6.02 Model 6 [ 1 1 28 ] (0.00 seconds, 29934 Inserts)
% 5.82/6.02
% 5.82/6.02 ----> UNIT CONFLICT at 5.62 sec ----> 11325 [binary,11324.1,2.1] {+} $F.
% 5.82/6.02
% 5.82/6.02 Length of proof is 30. Level of proof is 16.
% 5.82/6.02
% 5.82/6.02 ---------------- PROOF ----------------
% 5.82/6.02 % SZS status Unsatisfiable
% 5.82/6.02 % SZS output start Refutation
% 5.82/6.02
% 5.82/6.02 1 [] {+} -is_a_theorem(implies(A,B))| -is_a_theorem(A)|is_a_theorem(B).
% 5.82/6.02 2 [] {+} -is_a_theorem(implies(a,not(not(a)))).
% 5.82/6.02 3 [] {-} is_a_theorem(implies(implies(A,B),implies(implies(B,C),implies(A,C)))).
% 5.82/6.02 4 [] {+} is_a_theorem(implies(implies(not(A),A),A)).
% 5.82/6.02 5 [] {+} is_a_theorem(implies(A,implies(not(A),B))).
% 5.82/6.02 6 [hyper,3,1,3] {-} is_a_theorem(implies(implies(implies(implies(A,B),implies(C,B)),D),implies(implies(C,A),D))).
% 5.82/6.02 7 [hyper,4,1,3] {-} is_a_theorem(implies(implies(A,B),implies(implies(not(A),A),B))).
% 5.82/6.02 9 [hyper,5,1,3] {-} is_a_theorem(implies(implies(implies(not(A),B),C),implies(A,C))).
% 5.82/6.02 12 [hyper,7,1,7] {+} is_a_theorem(implies(implies(not(implies(A,B)),implies(A,B)),implies(implies(not(A),A),B))).
% 5.82/6.02 29 [hyper,9,1,6] {-} is_a_theorem(implies(implies(A,not(B)),implies(B,implies(A,C)))).
% 5.82/6.02 31 [hyper,9,1,3] {-} is_a_theorem(implies(implies(implies(A,B),C),implies(implies(implies(not(A),D),B),C))).
% 5.82/6.02 34 [hyper,9,1,4] {+} is_a_theorem(implies(A,A)).
% 5.82/6.02 40 [hyper,29,1,9] {+} is_a_theorem(implies(A,implies(B,implies(not(A),C)))).
% 5.82/6.02 43 [hyper,29,1,3] {-} is_a_theorem(implies(implies(implies(A,implies(B,C)),D),implies(implies(B,not(A)),D))).
% 5.82/6.02 57 [hyper,40,1,3] {-} is_a_theorem(implies(implies(implies(A,implies(not(B),C)),D),implies(B,D))).
% 5.82/6.02 73 [hyper,57,1,3] {-} is_a_theorem(implies(A,implies(implies(implies(not(A),B),C),implies(D,C)))).
% 5.82/6.02 85 [hyper,73,1,34] {-} is_a_theorem(implies(implies(implies(not(implies(A,A)),B),C),implies(D,C))).
% 5.82/6.02 113 [hyper,85,1,4] {+} is_a_theorem(implies(A,implies(B,B))).
% 5.82/6.02 138 [hyper,12,1,85] {+} is_a_theorem(implies(A,implies(implies(not(B),B),B))).
% 5.82/6.02 162 [hyper,31,1,3] {-} is_a_theorem(implies(implies(implies(not(A),B),C),implies(implies(C,D),implies(A,D)))).
% 5.82/6.02 183 [hyper,113,1,3] {-} is_a_theorem(implies(implies(implies(A,A),B),implies(C,B))).
% 5.82/6.02 199 [hyper,183,1,29] {+} is_a_theorem(implies(A,implies(B,implies(not(B),C)))).
% 5.82/6.02 249 [hyper,138,1,3] {-} is_a_theorem(implies(implies(implies(implies(not(A),A),A),B),implies(C,B))).
% 5.82/6.02 281 [hyper,249,1,6] {+} is_a_theorem(implies(implies(A,implies(not(B),B)),implies(C,implies(A,B)))).
% 5.82/6.02 333 [hyper,199,1,3] {-} is_a_theorem(implies(implies(implies(A,implies(not(A),B)),C),implies(D,C))).
% 5.82/6.02 8546 [hyper,281,1,43] {-} is_a_theorem(implies(implies(not(A),not(B)),implies(C,implies(B,A)))).
% 5.82/6.02 8573 [hyper,281,1,333] {-} is_a_theorem(implies(A,implies(implies(implies(B,implies(not(B),C)),D),D))).
% 5.82/6.02 8606 [hyper,8546,1,281] {-} is_a_theorem(implies(A,implies(implies(not(B),not(C)),implies(C,B)))).
% 5.82/6.02 8635 [hyper,8606,1,8606] {-} is_a_theorem(implies(implies(not(A),not(B)),implies(B,A))).
% 5.82/6.02 8699 [hyper,8635,1,281] {-} is_a_theorem(implies(A,implies(implies(not(B),not(not(B))),B))).
% 5.82/6.02 8704 [hyper,8635,1,162] {+} is_a_theorem(implies(implies(implies(A,B),C),implies(B,C))).
% 5.82/6.02 10165 [hyper,8573,1,8573] {-} is_a_theorem(implies(implies(implies(A,implies(not(A),B)),C),C)).
% 5.82/6.02 11096 [hyper,8699,1,10165] {-} is_a_theorem(implies(implies(not(A),not(not(A))),A)).
% 5.82/6.02 11195 [hyper,11096,1,8704] {+} is_a_theorem(implies(not(not(A)),A)).
% 5.82/6.02 11324 [hyper,11195,1,8635] {-} is_a_theorem(implies(A,not(not(A)))).
% 5.82/6.02 11325 [binary,11324.1,2.1] {+} $F.
% 5.82/6.02
% 5.82/6.02 % SZS output end Refutation
% 5.82/6.02 ------------ end of proof -------------
% 5.82/6.02
% 5.82/6.02
% 5.82/6.02 Search stopped by max_proofs option.
% 5.82/6.02
% 5.82/6.02
% 5.82/6.02 Search stopped by max_proofs option.
% 5.82/6.02
% 5.82/6.02 ============ end of search ============
% 5.82/6.02
% 5.82/6.02 ----------- soft-scott stats ----------
% 5.82/6.02
% 5.82/6.02 true clauses given 76 (28.7%)
% 5.82/6.02 false clauses given 189
% 5.82/6.02
% 5.82/6.02 FALSE TRUE
% 5.82/6.02 8 0 1
% 5.82/6.02 9 1 3
% 5.82/6.02 10 0 6
% 5.82/6.02 11 1 6
% 5.82/6.02 12 0 20
% 5.82/6.02 13 18 32
% 5.82/6.02 14 11 99
% 5.82/6.02 15 44 176
% 5.82/6.02 16 30 320
% 5.82/6.02 17 53 415
% 5.82/6.02 18 34 619
% 5.82/6.02 19 67 691
% 5.82/6.02 20 65 112
% 5.82/6.02 21 87 0
% 5.82/6.02 22 19 0
% 5.82/6.02 23 32 0
% 5.82/6.02 24 11 0
% 5.82/6.02 25 35 0
% 5.82/6.02 26 8 0
% 5.82/6.02 27 18 0
% 5.82/6.02 tot: 534 2500 (82.4% true)
% 5.82/6.02
% 5.82/6.02
% 5.82/6.02 Model 6 [ 1 1 28 ] (0.00 seconds, 29934 Inserts)
% 5.82/6.02
% 5.82/6.02 That finishes the proof of the theorem.
% 5.82/6.02
% 5.82/6.02 Process 11928 finished Mon Jul 4 11:10:43 2022
%------------------------------------------------------------------------------