TSTP Solution File: LCL049-1 by SOS---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : LCL049-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : sos-script %s
% Computer : n029.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 14:27:35 EDT 2022
% Result : Unsatisfiable 8.71s 8.94s
% Output : Refutation 8.71s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : LCL049-1 : TPTP v8.1.0. Released v1.0.0.
% 0.04/0.13 % Command : sos-script %s
% 0.13/0.34 % Computer : n029.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Sat Jul 2 12:50:55 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.35 ----- Otter 3.2, August 2001 -----
% 0.19/0.35 The process was started by sandbox on n029.cluster.edu,
% 0.19/0.35 Sat Jul 2 12:50:55 2022
% 0.19/0.35 The command was "./sos". The process ID is 14713.
% 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: 80
% 0.19/0.38 percent of all initial clauses that are short: 100
% 0.19/0.38 absolute distinct symbol count: 5
% 0.19/0.38 distinct predicate count: 1
% 0.19/0.38 distinct function count: 2
% 0.19/0.38 distinct constant count: 2
% 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 ===========
% 3.89/4.12
% 3.89/4.12
% 3.89/4.12 Changing weight limit from 60 to 46.
% 3.89/4.12
% 3.89/4.12 Model 2 (0.00 seconds, 0 Inserts)
% 3.89/4.12
% 3.89/4.12 Stopped by limit on number of solutions
% 3.89/4.12
% 3.89/4.12 Model 3 (0.00 seconds, 0 Inserts)
% 3.89/4.12
% 3.89/4.12 Stopped by limit on number of solutions
% 3.89/4.12
% 3.89/4.12 Model 4 (0.00 seconds, 0 Inserts)
% 3.89/4.12
% 3.89/4.12 Stopped by limit on number of solutions
% 3.89/4.12
% 3.89/4.12 Model 5 [ 1 1 62 ] (0.00 seconds, 177025 Inserts)
% 3.89/4.12
% 3.89/4.12 Model 6 [ 3 0 143 ] (0.00 seconds, 186138 Inserts)
% 3.89/4.12
% 3.89/4.12 Stopped by limit on insertions
% 3.89/4.12
% 3.89/4.12 Model 7 [ 2 0 1667 ] (0.00 seconds, 250000 Inserts)
% 3.89/4.12
% 3.89/4.12 Model 8 [ 2 24 79400 ] (0.00 seconds, 80708 Inserts)
% 3.89/4.12
% 3.89/4.12 Resetting weight limit to 46 after 175 givens.
% 3.89/4.12
% 5.22/5.41
% 5.22/5.41
% 5.22/5.41 Changing weight limit from 46 to 38.
% 5.22/5.41
% 5.22/5.41 Resetting weight limit to 38 after 245 givens.
% 5.22/5.41
% 5.26/5.47
% 5.26/5.47
% 5.26/5.47 Changing weight limit from 38 to 29.
% 5.26/5.47
% 5.26/5.47 Resetting weight limit to 29 after 250 givens.
% 5.26/5.47
% 6.58/6.83
% 6.58/6.83
% 6.58/6.83 Changing weight limit from 29 to 23.
% 6.58/6.83
% 6.58/6.83 Model 9 [ 4 0 101 ] (0.00 seconds, 162186 Inserts)
% 6.58/6.83
% 6.58/6.83 Resetting weight limit to 23 after 255 givens.
% 6.58/6.83
% 6.71/6.90
% 6.71/6.90
% 6.71/6.90 Changing weight limit from 23 to 20.
% 6.71/6.90
% 6.71/6.90 Resetting weight limit to 20 after 260 givens.
% 6.71/6.90
% 7.80/8.05
% 7.80/8.05
% 7.80/8.05 Changing weight limit from 20 to 19.
% 7.80/8.05
% 7.80/8.05 Model 10 [ 3 70 232705 ] (0.00 seconds, 235556 Inserts)
% 7.80/8.05
% 7.80/8.05 Resetting weight limit to 19 after 290 givens.
% 7.80/8.05
% 8.03/8.25
% 8.03/8.25
% 8.03/8.25 Changing weight limit from 19 to 18.
% 8.03/8.25
% 8.03/8.25 Resetting weight limit to 18 after 325 givens.
% 8.03/8.25
% 8.26/8.48
% 8.26/8.48
% 8.26/8.48 Changing weight limit from 18 to 17.
% 8.26/8.48
% 8.26/8.48 Modelling stopped after 300 given clauses and 0.00 seconds
% 8.26/8.48
% 8.26/8.48
% 8.26/8.48 Resetting weight limit to 17 after 400 givens.
% 8.26/8.48
% 8.71/8.94
% 8.71/8.94 -------- PROOF --------
% 8.71/8.94 % SZS status Unsatisfiable
% 8.71/8.94 % SZS output start Refutation
% 8.71/8.94
% 8.71/8.94 ----> UNIT CONFLICT at 8.50 sec ----> 19937 [binary,19936.1,2.1] {-} $F.
% 8.71/8.94
% 8.71/8.94 Length of proof is 28. Level of proof is 20.
% 8.71/8.94
% 8.71/8.94 ---------------- PROOF ----------------
% 8.71/8.94 % SZS status Unsatisfiable
% 8.71/8.94 % SZS output start Refutation
% 8.71/8.94
% 8.71/8.94 1 [] {+} -is_a_theorem(implies(A,B))| -is_a_theorem(A)|is_a_theorem(B).
% 8.71/8.94 2 [] {+} -is_a_theorem(implies(a,implies(implies(a,b),b))).
% 8.71/8.94 3 [] {-} is_a_theorem(implies(implies(A,B),implies(implies(B,C),implies(A,C)))).
% 8.71/8.94 4 [] {+} is_a_theorem(implies(implies(not(A),A),A)).
% 8.71/8.94 5 [] {+} is_a_theorem(implies(A,implies(not(A),B))).
% 8.71/8.94 6 [hyper,3,1,3] {-} is_a_theorem(implies(implies(implies(implies(A,B),implies(C,B)),D),implies(implies(C,A),D))).
% 8.71/8.94 7 [hyper,4,1,3] {-} is_a_theorem(implies(implies(A,B),implies(implies(not(A),A),B))).
% 8.71/8.94 9 [hyper,5,1,3] {-} is_a_theorem(implies(implies(implies(not(A),B),C),implies(A,C))).
% 8.71/8.94 12 [hyper,7,1,7] {+} is_a_theorem(implies(implies(not(implies(A,B)),implies(A,B)),implies(implies(not(A),A),B))).
% 8.71/8.94 17 [hyper,7,1,3] {-} is_a_theorem(implies(implies(not(implies(A,B)),implies(A,B)),implies(implies(B,C),implies(A,C)))).
% 8.71/8.94 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))).
% 8.71/8.94 29 [hyper,9,1,6] {-} is_a_theorem(implies(implies(A,not(B)),implies(B,implies(A,C)))).
% 8.71/8.94 34 [hyper,9,1,4] {+} is_a_theorem(implies(A,A)).
% 8.71/8.94 40 [hyper,29,1,9] {+} is_a_theorem(implies(A,implies(B,implies(not(A),C)))).
% 8.71/8.94 43 [hyper,29,1,3] {-} is_a_theorem(implies(implies(implies(A,implies(B,C)),D),implies(implies(B,not(A)),D))).
% 8.71/8.94 60 [hyper,40,1,3] {-} is_a_theorem(implies(implies(implies(A,implies(not(B),C)),D),implies(B,D))).
% 8.71/8.94 78 [hyper,60,1,3] {-} is_a_theorem(implies(A,implies(implies(implies(not(A),B),C),implies(D,C)))).
% 8.71/8.94 91 [hyper,78,1,34] {-} is_a_theorem(implies(implies(implies(not(implies(A,A)),B),C),implies(D,C))).
% 8.71/8.94 184 [hyper,12,1,91] {+} is_a_theorem(implies(A,implies(implies(not(B),B),B))).
% 8.71/8.94 280 [hyper,184,1,3] {-} is_a_theorem(implies(implies(implies(implies(not(A),A),A),B),implies(C,B))).
% 8.71/8.94 319 [hyper,280,1,6] {-} is_a_theorem(implies(implies(A,implies(not(B),B)),implies(C,implies(A,B)))).
% 8.71/8.94 2237 [hyper,319,1,60] {+} is_a_theorem(implies(A,implies(B,implies(C,A)))).
% 8.71/8.94 2239 [hyper,319,1,43] {-} is_a_theorem(implies(implies(not(A),not(B)),implies(C,implies(B,A)))).
% 8.71/8.94 2269 [hyper,2237,1,319] {+} is_a_theorem(implies(A,implies(B,implies(C,B)))).
% 8.71/8.94 2385 [hyper,2269,1,17] {-} is_a_theorem(implies(implies(implies(A,B),C),implies(B,C))).
% 8.71/8.94 2479 [hyper,2385,1,2239] {-} is_a_theorem(implies(not(A),implies(B,implies(A,C)))).
% 8.71/8.94 2515 [hyper,2479,1,319] {-} is_a_theorem(implies(A,implies(not(B),implies(B,C)))).
% 8.71/8.94 2617 [hyper,2515,1,17] {+} is_a_theorem(implies(implies(implies(A,B),C),implies(not(A),C))).
% 8.71/8.94 17033 [hyper,2617,1,319] {-} is_a_theorem(implies(A,implies(implies(implies(B,C),B),B))).
% 8.71/8.94 17135 [hyper,17033,1,21] {-} is_a_theorem(implies(implies(A,implies(A,B)),implies(A,B))).
% 8.71/8.94 17288 [hyper,17135,1,319] {-} is_a_theorem(implies(implies(A,implies(not(B),B)),implies(A,B))).
% 8.71/8.94 18843 [hyper,17288,1,6] {-} is_a_theorem(implies(implies(not(A),B),implies(implies(B,A),A))).
% 8.71/8.94 19936 [hyper,18843,1,2385] {-} is_a_theorem(implies(A,implies(implies(A,B),B))).
% 8.71/8.94 19937 [binary,19936.1,2.1] {-} $F.
% 8.71/8.94
% 8.71/8.94 % SZS output end Refutation
% 8.71/8.94 ------------ end of proof -------------
% 8.71/8.94
% 8.71/8.94
% 8.71/8.94 Search stopped by max_proofs option.
% 8.71/8.94
% 8.71/8.94
% 8.71/8.94 Search stopped by max_proofs option.
% 8.71/8.94
% 8.71/8.94 ============ end of search ============
% 8.71/8.94
% 8.71/8.94 ----------- soft-scott stats ----------
% 8.71/8.94
% 8.71/8.94 true clauses given 115 (22.2%)
% 8.71/8.94 false clauses given 402
% 8.71/8.94
% 8.71/8.94 FALSE TRUE
% 8.71/8.94 11 3 60
% 8.71/8.94 12 242 154
% 8.71/8.94 13 578 250
% 8.71/8.94 14 889 438
% 8.71/8.94 15 800 613
% 8.71/8.94 16 4 941
% 8.71/8.94 17 11 50
% 8.71/8.94 tot: 2527 2506 (49.8% true)
% 8.71/8.94
% 8.71/8.94
% 8.71/8.94 Model 10 [ 3 70 232705 ] (0.00 seconds, 235556 Inserts)
% 8.71/8.94
% 8.71/8.94 That finishes the proof of the theorem.
% 8.71/8.94
% 8.71/8.94 Process 14713 finished Sat Jul 2 12:51:03 2022
%------------------------------------------------------------------------------