TSTP Solution File: RNG001-3 by SOS---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : RNG001-3 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : sos-script %s
% Computer : n017.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 : Mon Jul 18 20:40:52 EDT 2022
% Result : Unsatisfiable 10.30s 10.50s
% Output : Refutation 10.30s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : RNG001-3 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.12 % Command : sos-script %s
% 0.12/0.33 % Computer : n017.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 May 30 09:25:10 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.35 ----- Otter 3.2, August 2001 -----
% 0.12/0.35 The process was started by sandbox2 on n017.cluster.edu,
% 0.12/0.35 Mon May 30 09:25:10 2022
% 0.12/0.35 The command was "./sos". The process ID is 21476.
% 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=5.
% 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 =======
% 0.18/0.42
% 0.18/0.42 Model 1 (0.00 seconds, 0 Inserts)
% 0.18/0.42
% 0.18/0.42 Stopped by limit on number of solutions
% 0.18/0.42
% 0.18/0.42
% 0.18/0.42 -------------- Softie stats --------------
% 0.18/0.42
% 0.18/0.42 UPDATE_STOP: 300
% 0.18/0.42 SFINDER_TIME_LIMIT: 2
% 0.18/0.42 SHORT_CLAUSE_CUTOFF: 4
% 0.18/0.42 number of clauses in intial UL: 5
% 0.18/0.42 number of clauses initially in problem: 8
% 0.18/0.42 percentage of clauses intially in UL: 62
% 0.18/0.42 percentage of distinct symbols occuring in initial UL: 66
% 0.18/0.42 percent of all initial clauses that are short: 100
% 0.18/0.42 absolute distinct symbol count: 6
% 0.18/0.42 distinct predicate count: 2
% 0.18/0.42 distinct function count: 2
% 0.18/0.42 distinct constant count: 2
% 0.18/0.42
% 0.18/0.42 ---------- no more Softie stats ----------
% 0.18/0.42
% 0.18/0.42
% 0.18/0.42
% 0.18/0.42 Model 2 (0.00 seconds, 0 Inserts)
% 0.18/0.42
% 0.18/0.42 Stopped by limit on number of solutions
% 0.18/0.42
% 0.18/0.42 =========== start of search ===========
% 5.34/5.56
% 5.34/5.56
% 5.34/5.56 Changing weight limit from 60 to 20.
% 5.34/5.56
% 5.34/5.56 Stopped by limit on insertions
% 5.34/5.56
% 5.34/5.56 Model 3 [ 1 1 575 ] (0.00 seconds, 250000 Inserts)
% 5.34/5.56
% 5.34/5.56 Model 4 (0.00 seconds, 250000 Inserts)
% 5.34/5.56
% 5.34/5.56 Stopped by limit on number of solutions
% 5.34/5.56
% 5.34/5.56 Stopped by limit on insertions
% 5.34/5.56
% 5.34/5.56 Model 5 [ 6 1 1213 ] (0.00 seconds, 250000 Inserts)
% 5.34/5.56
% 5.34/5.56 Stopped by limit on insertions
% 5.34/5.56
% 5.34/5.56 Model 6 [ 3 1 837 ] (0.00 seconds, 250000 Inserts)
% 5.34/5.56
% 5.34/5.56 Stopped by limit on insertions
% 5.34/5.56
% 5.34/5.56 Model 7 [ 12 1 577 ] (0.00 seconds, 250000 Inserts)
% 5.34/5.56
% 5.34/5.56 Stopped by limit on insertions
% 5.34/5.56
% 5.34/5.56 Model 8 [ 5 6 148853 ] (0.00 seconds, 250000 Inserts)
% 5.34/5.56
% 5.34/5.56 Stopped by limit on insertions
% 5.34/5.56
% 5.34/5.56 Model 9 [ 2 1 855 ] (0.00 seconds, 250000 Inserts)
% 5.34/5.56
% 5.34/5.56 Stopped by limit on insertions
% 5.34/5.56
% 5.34/5.56 Model 10 [ 12 2 80709 ] (0.00 seconds, 250000 Inserts)
% 5.34/5.56
% 5.34/5.56 Stopped by limit on insertions
% 5.34/5.56
% 5.34/5.56 Model 11 [ 12 2 24596 ] (0.00 seconds, 250000 Inserts)
% 5.34/5.56
% 5.34/5.56 Stopped by limit on insertions
% 5.34/5.56
% 5.34/5.56 Model 12 [ 12 8 110186 ] (0.00 seconds, 250000 Inserts)
% 5.34/5.56
% 5.34/5.56 Stopped by limit on insertions
% 5.34/5.56
% 5.34/5.56 Model 13 [ 13 1 684 ] (0.00 seconds, 250000 Inserts)
% 5.34/5.56
% 5.34/5.56 Stopped by limit on insertions
% 5.34/5.56
% 5.34/5.56 Model 14 [ 26 6 98816 ] (0.00 seconds, 250000 Inserts)
% 5.34/5.56
% 5.34/5.56 Stopped by limit on insertions
% 5.34/5.56
% 5.34/5.56 Model 15 [ 10 1 444 ] (0.00 seconds, 250000 Inserts)
% 5.34/5.56
% 5.34/5.56 Stopped by limit on insertions
% 5.34/5.56
% 5.34/5.56 Model 16 [ 34 1 1526 ] (0.00 seconds, 250000 Inserts)
% 5.34/5.56
% 5.34/5.56 Stopped by limit on insertions
% 5.34/5.56
% 5.34/5.56 Model 17 [ 11 13 145687 ] (0.00 seconds, 250000 Inserts)
% 5.34/5.56
% 5.34/5.56 Stopped by limit on insertions
% 5.34/5.56
% 5.34/5.56 Model 18 [ 9 1 10841 ] (0.00 seconds, 250000 Inserts)
% 5.34/5.56
% 5.34/5.56 Stopped by limit on insertions
% 5.34/5.56
% 5.34/5.56 Model 19 [ 30 3 26409 ] (0.00 seconds, 250000 Inserts)
% 5.34/5.56
% 5.34/5.56 Stopped by limit on insertions
% 5.34/5.56
% 5.34/5.56 Model 20 [ 8 1 691 ] (0.00 seconds, 250000 Inserts)
% 5.34/5.56
% 5.34/5.56 Stopped by limit on insertions
% 5.34/5.56
% 5.34/5.56 Model 21 [ 19 39 181273 ] (0.00 seconds, 250000 Inserts)
% 5.34/5.56
% 5.34/5.56 Stopped by limit on insertions
% 5.34/5.56
% 5.34/5.56 Model 22 [ 11 1 2338 ] (0.00 seconds, 250000 Inserts)
% 5.34/5.56
% 5.34/5.56 Stopped by limit on insertions
% 5.34/5.56
% 5.34/5.56 Model 23 [ 10 11 83984 ] (0.00 seconds, 250000 Inserts)
% 5.34/5.56
% 5.34/5.56 Stopped by limit on insertions
% 5.34/5.56
% 5.34/5.56 Model 24 [ 20 6 29048 ] (0.00 seconds, 250000 Inserts)
% 5.34/5.56
% 5.34/5.56 Stopped by limit on insertions
% 5.34/5.56
% 5.34/5.56 Model 25 [ 21 6 15166 ] (0.00 seconds, 250000 Inserts)
% 5.34/5.56
% 5.34/5.56 Stopped by limit on insertions
% 5.34/5.56
% 5.34/5.56 Model 26 [ 17 2 590 ] (0.00 seconds, 250000 Inserts)
% 5.34/5.56
% 5.34/5.56 Resetting weight limit to 20 after 80 givens.
% 5.34/5.56
% 5.49/5.70
% 5.49/5.70
% 5.49/5.70 Changing weight limit from 20 to 19.
% 5.49/5.70
% 5.49/5.70 Resetting weight limit to 19 after 90 givens.
% 5.49/5.70
% 9.54/9.82
% 9.54/9.82
% 9.54/9.82 Changing weight limit from 19 to 18.
% 9.54/9.82
% 9.54/9.82 Stopped by limit on insertions
% 9.54/9.82
% 9.54/9.82 Model 27 [ 24 2 1976 ] (0.00 seconds, 250000 Inserts)
% 9.54/9.82
% 9.54/9.82 Stopped by limit on insertions
% 9.54/9.82
% 9.54/9.82 Model 28 [ 30 23 115289 ] (0.00 seconds, 250000 Inserts)
% 9.54/9.82
% 9.54/9.82 Resetting weight limit to 18 after 165 givens.
% 9.54/9.82
% 10.30/10.50
% 10.30/10.50 -------- PROOF --------
% 10.30/10.50 % SZS status Unsatisfiable
% 10.30/10.50 % SZS output start Refutation
% 10.30/10.50
% 10.30/10.50 ----> UNIT CONFLICT at 9.77 sec ----> 26550 [binary,26549.1,5.1] {+} $F.
% 10.30/10.50
% 10.30/10.50 Length of proof is 31. Level of proof is 8.
% 10.30/10.50
% 10.30/10.50 ---------------- PROOF ----------------
% 10.30/10.50 % SZS status Unsatisfiable
% 10.30/10.50 % SZS output start Refutation
% 10.30/10.50
% 10.30/10.50 1 [] {+} -sum(A,B,C)| -sum(B,D,E)| -sum(C,D,F)|sum(A,E,F).
% 10.30/10.50 2 [] {+} -sum(A,B,C)| -sum(B,D,E)| -sum(A,E,F)|sum(C,D,F).
% 10.30/10.50 3 [] {+} -product(A,B,C)| -product(A,D,E)| -sum(B,D,F)| -product(A,F,G)|sum(C,E,G).
% 10.30/10.50 4 [] {+} -product(A,B,C)| -product(A,D,E)| -sum(B,D,F)| -sum(C,E,G)|product(A,F,G).
% 10.30/10.50 5 [] {+} -product(a,additive_identity,additive_identity).
% 10.30/10.50 6 [] {+} sum(additive_identity,A,A).
% 10.30/10.50 7 [] {+} sum(additive_inverse(A),A,additive_identity).
% 10.30/10.50 8 [] {+} product(A,B,multiply(A,B)).
% 10.30/10.50 9 [hyper,7,1,7,6] {+} sum(additive_inverse(additive_inverse(A)),additive_identity,A).
% 10.30/10.50 10 [hyper,7,1,6,6] {+} sum(additive_inverse(additive_identity),A,A).
% 10.30/10.50 11 [hyper,10,2,7,7] {+} sum(additive_identity,additive_inverse(additive_identity),additive_identity).
% 10.30/10.50 13 [hyper,8,3,8,8,10] {+} sum(multiply(A,additive_inverse(additive_identity)),multiply(A,B),multiply(A,B)).
% 10.30/10.50 14 [hyper,8,3,8,8,7] {-} sum(multiply(A,additive_inverse(B)),multiply(A,B),multiply(A,additive_identity)).
% 10.30/10.50 15 [hyper,8,3,8,8,6] {+} sum(multiply(A,additive_identity),multiply(A,B),multiply(A,B)).
% 10.30/10.50 17 [hyper,11,2,6,10] {+} sum(additive_inverse(additive_identity),additive_inverse(additive_identity),additive_identity).
% 10.30/10.50 23 [hyper,9,2,9,6] {+} sum(A,additive_identity,A).
% 10.30/10.50 24 [hyper,9,2,6,7] {+} sum(A,additive_inverse(A),additive_identity).
% 10.30/10.50 25 [hyper,9,1,9,6] {-} sum(additive_inverse(additive_inverse(additive_inverse(additive_inverse(A)))),additive_identity,A).
% 10.30/10.50 26 [hyper,9,1,7,6] {-} sum(additive_inverse(additive_inverse(additive_inverse(A))),A,additive_identity).
% 10.30/10.50 30 [hyper,23,2,10,7] {+} sum(additive_inverse(A),A,additive_inverse(additive_identity)).
% 10.30/10.50 31 [hyper,23,2,9,23] {+} sum(A,additive_identity,additive_inverse(additive_inverse(A))).
% 10.30/10.50 33 [hyper,23,2,7,7] {+} sum(additive_identity,A,additive_inverse(additive_inverse(A))).
% 10.30/10.50 36 [hyper,23,1,6,9] {+} sum(additive_identity,additive_inverse(additive_inverse(A)),A).
% 10.30/10.50 66 [hyper,30,3,8,8,8] {+} sum(multiply(A,additive_inverse(B)),multiply(A,B),multiply(A,additive_inverse(additive_identity))).
% 10.30/10.50 113 [hyper,13,4,8,8,17] {+} product(A,additive_identity,multiply(A,additive_inverse(additive_identity))).
% 10.30/10.50 120 [hyper,13,2,7,7] {+} sum(additive_identity,multiply(A,additive_inverse(additive_identity)),additive_identity).
% 10.30/10.50 228 [hyper,15,2,26,26] {+} sum(additive_identity,multiply(A,additive_identity),additive_identity).
% 10.30/10.50 241 [hyper,15,1,24,24] {+} sum(multiply(A,additive_identity),additive_identity,additive_identity).
% 10.30/10.50 260 [hyper,228,2,6,14] {-} sum(multiply(A,additive_inverse(B)),multiply(A,B),additive_identity).
% 10.30/10.50 276 [hyper,228,2,23,23] {+} sum(A,multiply(B,additive_identity),A).
% 10.30/10.50 354 [hyper,241,1,36,36] {+} sum(multiply(A,additive_identity),B,B).
% 10.30/10.50 429 [hyper,354,1,14,354] {+} sum(multiply(A,additive_inverse(additive_identity)),B,B).
% 10.30/10.50 645 [hyper,25,4,8,8,276] {-} product(A,B,multiply(A,additive_inverse(additive_inverse(additive_inverse(additive_inverse(B)))))).
% 10.30/10.50 920 [hyper,120,2,25,25] {+} sum(A,multiply(B,additive_inverse(additive_identity)),A).
% 10.30/10.50 943 [hyper,120,2,31,36] {+} sum(additive_identity,additive_identity,multiply(A,additive_inverse(additive_identity))).
% 10.30/10.50 4020 [hyper,943,4,113,8,429] {-} product(A,multiply(B,additive_inverse(additive_identity)),multiply(A,additive_identity)).
% 10.30/10.50 4134 [hyper,4020,4,113,33,429] {-} product(A,additive_inverse(additive_inverse(multiply(B,additive_inverse(additive_identity)))),multiply(A,additive_identity)).
% 10.30/10.50 4370 [hyper,66,4,645,645,920] {-} product(A,additive_inverse(multiply(B,additive_inverse(additive_identity))),multiply(A,additive_inverse(additive_identity))).
% 10.30/10.50 26549 [hyper,260,4,4370,4134,24] {-} product(A,additive_identity,additive_identity).
% 10.30/10.50 26550 [binary,26549.1,5.1] {+} $F.
% 10.30/10.50
% 10.30/10.50 % SZS output end Refutation
% 10.30/10.50 ------------ end of proof -------------
% 10.30/10.50
% 10.30/10.50
% 10.30/10.50 Search stopped by max_proofs option.
% 10.30/10.50
% 10.30/10.50
% 10.30/10.50 Search stopped by max_proofs option.
% 10.30/10.50
% 10.30/10.50 ============ end of search ============
% 10.30/10.50
% 10.30/10.50 ----------- soft-scott stats ----------
% 10.30/10.50
% 10.30/10.50 true clauses given 59 (33.0%)
% 10.30/10.50 false clauses given 120
% 10.30/10.50
% 10.30/10.50 FALSE TRUE
% 10.30/10.50 8 0 12
% 10.30/10.50 9 18 53
% 10.30/10.50 10 41 119
% 10.30/10.50 11 70 210
% 10.30/10.50 12 116 351
% 10.30/10.50 13 176 505
% 10.30/10.50 14 210 726
% 10.30/10.50 15 332 585
% 10.30/10.50 16 447 367
% 10.30/10.50 17 697 375
% 10.30/10.50 18 621 265
% 10.30/10.50 tot: 2728 3568 (56.7% true)
% 10.30/10.50
% 10.30/10.50
% 10.30/10.50 Model 28 [ 30 23 115289 ] (0.00 seconds, 250000 Inserts)
% 10.30/10.50
% 10.30/10.50 That finishes the proof of the theorem.
% 10.30/10.50
% 10.30/10.50 Process 21476 finished Mon May 30 09:25:20 2022
%------------------------------------------------------------------------------