TSTP Solution File: LCL067-1 by SOS---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : LCL067-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : sos-script %s
% Computer : n019.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 14:27:41 EDT 2022
% Result : Unsatisfiable 11.82s 11.99s
% Output : Refutation 11.82s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : LCL067-1 : TPTP v8.1.0. Released v1.0.0.
% 0.11/0.13 % Command : sos-script %s
% 0.13/0.34 % Computer : n019.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 21:34:53 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.35 ----- Otter 3.2, August 2001 -----
% 0.13/0.35 The process was started by sandbox on n019.cluster.edu,
% 0.13/0.35 Sat Jul 2 21:34:53 2022
% 0.13/0.35 The command was "./sos". The process ID is 27515.
% 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 =======
% 0.13/0.38
% 0.13/0.38 Model 1 (0.00 seconds, 0 Inserts)
% 0.13/0.38
% 0.13/0.38 Stopped by limit on number of solutions
% 0.13/0.38
% 0.13/0.38
% 0.13/0.38 -------------- Softie stats --------------
% 0.13/0.38
% 0.13/0.38 UPDATE_STOP: 300
% 0.13/0.38 SFINDER_TIME_LIMIT: 2
% 0.13/0.38 SHORT_CLAUSE_CUTOFF: 4
% 0.13/0.38 number of clauses in intial UL: 2
% 0.13/0.38 number of clauses initially in problem: 5
% 0.13/0.38 percentage of clauses intially in UL: 40
% 0.13/0.38 percentage of distinct symbols occuring in initial UL: 83
% 0.13/0.38 percent of all initial clauses that are short: 100
% 0.13/0.38 absolute distinct symbol count: 6
% 0.13/0.38 distinct predicate count: 1
% 0.13/0.38 distinct function count: 2
% 0.13/0.38 distinct constant count: 3
% 0.13/0.38
% 0.13/0.38 ---------- no more Softie stats ----------
% 0.13/0.38
% 0.13/0.38
% 0.13/0.38
% 0.13/0.38 =========== start of search ===========
% 8.84/9.06
% 8.84/9.06
% 8.84/9.06 Changing weight limit from 60 to 46.
% 8.84/9.06
% 8.84/9.06 Model 2 (0.00 seconds, 0 Inserts)
% 8.84/9.06
% 8.84/9.06 Stopped by limit on number of solutions
% 8.84/9.06
% 8.84/9.06 Stopped by limit on insertions
% 8.84/9.06
% 8.84/9.06 Stopped by limit on insertions
% 8.84/9.06
% 8.84/9.06 Model 3 [ 1 1 2671 ] (0.00 seconds, 250000 Inserts)
% 8.84/9.06
% 8.84/9.06 Model 4 (0.00 seconds, 250000 Inserts)
% 8.84/9.06
% 8.84/9.06 Stopped by limit on number of solutions
% 8.84/9.06
% 8.84/9.06 Stopped by limit on insertions
% 8.84/9.06
% 8.84/9.06 Model 5 [ 1 2 16006 ] (0.00 seconds, 250000 Inserts)
% 8.84/9.06
% 8.84/9.06 Stopped by limit on insertions
% 8.84/9.06
% 8.84/9.06 Model 6 [ 1 1 10747 ] (0.00 seconds, 250000 Inserts)
% 8.84/9.06
% 8.84/9.06 Stopped by limit on insertions
% 8.84/9.06
% 8.84/9.06 Resetting weight limit to 46 after 175 givens.
% 8.84/9.06
% 8.92/9.11
% 8.92/9.11
% 8.92/9.11 Changing weight limit from 46 to 36.
% 8.92/9.11
% 8.92/9.11 Resetting weight limit to 36 after 180 givens.
% 8.92/9.11
% 8.92/9.17
% 8.92/9.17
% 8.92/9.17 Changing weight limit from 36 to 32.
% 8.92/9.17
% 8.92/9.17 Resetting weight limit to 32 after 185 givens.
% 8.92/9.17
% 10.60/10.78
% 10.60/10.78
% 10.60/10.78 Changing weight limit from 32 to 23.
% 10.60/10.78
% 10.60/10.78 Resetting weight limit to 23 after 360 givens.
% 10.60/10.78
% 10.62/10.80
% 10.62/10.80
% 10.62/10.80 Changing weight limit from 23 to 22.
% 10.62/10.80
% 10.62/10.80 Resetting weight limit to 22 after 365 givens.
% 10.62/10.80
% 10.62/10.82
% 10.62/10.82
% 10.62/10.82 Changing weight limit from 22 to 21.
% 10.62/10.82
% 10.62/10.82 Resetting weight limit to 21 after 370 givens.
% 10.62/10.82
% 10.76/10.97
% 10.76/10.97
% 10.76/10.97 Changing weight limit from 21 to 19.
% 10.76/10.97
% 10.76/10.97 Resetting weight limit to 19 after 390 givens.
% 10.76/10.97
% 10.82/11.02
% 10.82/11.02
% 10.82/11.02 Changing weight limit from 19 to 18.
% 10.82/11.02
% 10.82/11.02 Resetting weight limit to 18 after 400 givens.
% 10.82/11.02
% 10.89/11.07
% 10.89/11.07
% 10.89/11.07 Changing weight limit from 18 to 17.
% 10.89/11.07
% 10.89/11.07 Modelling stopped after 300 given clauses and 0.00 seconds
% 10.89/11.07
% 10.89/11.07
% 10.89/11.07 Resetting weight limit to 17 after 410 givens.
% 10.89/11.07
% 11.12/11.31
% 11.12/11.31
% 11.12/11.31 Changing weight limit from 17 to 16.
% 11.12/11.31
% 11.12/11.31 Resetting weight limit to 16 after 460 givens.
% 11.12/11.31
% 11.82/11.99
% 11.82/11.99 -- HEY sandbox, WE HAVE A PROOF!! --
% 11.82/11.99
% 11.82/11.99 ----> UNIT CONFLICT at 11.52 sec ----> 27373 [binary,27372.1,2.1] {-} $F.
% 11.82/11.99
% 11.82/11.99 Length of proof is 17. Level of proof is 11.
% 11.82/11.99
% 11.82/11.99 ---------------- PROOF ----------------
% 11.82/11.99 % SZS status Unsatisfiable
% 11.82/11.99 % SZS output start Refutation
% 11.82/11.99
% 11.82/11.99 1 [] {+} -is_a_theorem(implies(A,B))| -is_a_theorem(A)|is_a_theorem(B).
% 11.82/11.99 2 [] {+} -is_a_theorem(implies(implies(a,b),implies(implies(b,c),implies(a,c)))).
% 11.82/11.99 3 [] {-} is_a_theorem(implies(implies(implies(A,B),C),implies(B,C))).
% 11.82/11.99 4 [] {-} is_a_theorem(implies(implies(implies(A,B),C),implies(not(A),C))).
% 11.82/11.99 5 [] {-} is_a_theorem(implies(implies(not(A),B),implies(implies(C,B),implies(implies(A,C),B)))).
% 11.82/11.99 6 [hyper,3,1,3] {+} is_a_theorem(implies(A,implies(B,A))).
% 11.82/11.99 8 [hyper,6,1,3] {+} is_a_theorem(implies(A,implies(B,implies(C,A)))).
% 11.82/11.99 12 [hyper,4,1,6] {-} is_a_theorem(implies(not(A),implies(B,implies(A,C)))).
% 11.82/11.99 13 [hyper,4,1,3] {-} is_a_theorem(implies(not(implies(A,B)),implies(B,C))).
% 11.82/11.99 18 [hyper,5,1,12] {-} is_a_theorem(implies(implies(A,implies(B,implies(C,D))),implies(implies(C,A),implies(B,implies(C,D))))).
% 11.82/11.99 21 [hyper,13,1,5] {-} is_a_theorem(implies(implies(A,implies(B,C)),implies(implies(implies(D,B),A),implies(B,C)))).
% 11.82/11.99 28 [hyper,8,1,3] {+} is_a_theorem(implies(A,implies(B,implies(C,implies(D,A))))).
% 11.82/11.99 76 [hyper,18,1,28] {+} is_a_theorem(implies(implies(A,B),implies(C,implies(A,implies(D,B))))).
% 11.82/11.99 82 [hyper,18,1,6] {+} is_a_theorem(implies(implies(A,implies(A,B)),implies(C,implies(A,B)))).
% 11.82/11.99 330 [hyper,76,1,18] {+} is_a_theorem(implies(implies(A,implies(A,B)),implies(C,implies(A,implies(D,B))))).
% 11.82/11.99 435 [hyper,82,1,6] {+} is_a_theorem(implies(A,implies(B,B))).
% 11.82/11.99 450 [hyper,435,1,435] {+} is_a_theorem(implies(A,A)).
% 11.82/11.99 473 [hyper,450,1,21] {-} is_a_theorem(implies(implies(implies(A,B),implies(B,C)),implies(B,C))).
% 11.82/11.99 26266 [hyper,330,1,473] {+} is_a_theorem(implies(implies(A,B),implies(A,implies(C,B)))).
% 11.82/11.99 26393 [hyper,26266,1,18] {-} is_a_theorem(implies(implies(A,implies(B,C)),implies(B,implies(A,C)))).
% 11.82/11.99 27250 [hyper,26393,1,26266] {-} is_a_theorem(implies(A,implies(implies(A,B),implies(C,B)))).
% 11.82/11.99 27372 [hyper,27250,1,18] {-} is_a_theorem(implies(implies(A,B),implies(implies(B,C),implies(A,C)))).
% 11.82/11.99 27373 [binary,27372.1,2.1] {-} $F.
% 11.82/11.99
% 11.82/11.99 % SZS output end Refutation
% 11.82/11.99 ------------ end of proof -------------
% 11.82/11.99
% 11.82/11.99
% 11.82/11.99 Search stopped by max_proofs option.
% 11.82/11.99
% 11.82/11.99
% 11.82/11.99 Search stopped by max_proofs option.
% 11.82/11.99
% 11.82/11.99 ============ end of search ============
% 11.82/11.99
% 11.82/11.99 ----------- soft-scott stats ----------
% 11.82/11.99
% 11.82/11.99 true clauses given 203 (27.8%)
% 11.82/11.99 false clauses given 526
% 11.82/11.99
% 11.82/11.99 FALSE TRUE
% 11.82/11.99 11 0 64
% 11.82/11.99 12 20 225
% 11.82/11.99 13 369 387
% 11.82/11.99 14 1539 654
% 11.82/11.99 15 620 987
% 11.82/11.99 16 87 204
% 11.82/11.99 tot: 2635 2521 (48.9% true)
% 11.82/11.99
% 11.82/11.99
% 11.82/11.99 Model 6 [ 1 -205 10747 ] (0.00 seconds, 250000 Inserts)
% 11.82/11.99
% 11.82/11.99 That finishes the proof of the theorem.
% 11.82/11.99
% 11.82/11.99 Process 27515 finished Sat Jul 2 21:35:05 2022
%------------------------------------------------------------------------------