TSTP Solution File: FLD010-5 by SOS---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : FLD010-5 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : sos-script %s
% Computer : n028.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 : Sat Jul 16 02:27:35 EDT 2022
% Result : Unsatisfiable 11.11s 11.36s
% Output : Refutation 11.11s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : FLD010-5 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.08/0.14 % Command : sos-script %s
% 0.13/0.35 % Computer : n028.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Mon Jun 6 15:12:58 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.13/0.37 ----- Otter 3.2, August 2001 -----
% 0.13/0.37 The process was started by sandbox on n028.cluster.edu,
% 0.13/0.37 Mon Jun 6 15:12:58 2022
% 0.13/0.37 The command was "./sos". The process ID is 3508.
% 0.13/0.37
% 0.13/0.37 set(prolog_style_variables).
% 0.13/0.37 set(auto).
% 0.13/0.37 dependent: set(auto1).
% 0.13/0.37 dependent: set(process_input).
% 0.13/0.37 dependent: clear(print_kept).
% 0.13/0.37 dependent: clear(print_new_demod).
% 0.13/0.37 dependent: clear(print_back_demod).
% 0.13/0.37 dependent: clear(print_back_sub).
% 0.13/0.37 dependent: set(control_memory).
% 0.13/0.37 dependent: assign(max_mem, 12000).
% 0.13/0.37 dependent: assign(pick_given_ratio, 4).
% 0.13/0.37 dependent: assign(stats_level, 1).
% 0.13/0.37 dependent: assign(pick_semantic_ratio, 3).
% 0.13/0.37 dependent: assign(sos_limit, 5000).
% 0.13/0.37 dependent: assign(max_weight, 60).
% 0.13/0.37 clear(print_given).
% 0.13/0.37
% 0.13/0.37 list(usable).
% 0.13/0.37
% 0.13/0.37 SCAN INPUT: prop=0, horn=0, equality=0, symmetry=0, max_lits=5.
% 0.13/0.37
% 0.13/0.37 This is a non-Horn set without equality. The strategy
% 0.13/0.37 will be ordered hyper_res, ur_res, unit deletion, and
% 0.13/0.37 factoring, with satellites in sos and nuclei in usable.
% 0.13/0.37
% 0.13/0.37 dependent: set(hyper_res).
% 0.13/0.37 dependent: set(factor).
% 0.13/0.37 dependent: set(unit_deletion).
% 0.13/0.37
% 0.13/0.37 ------------> process usable:
% 0.13/0.37
% 0.13/0.37 ------------> process sos:
% 0.13/0.37
% 0.13/0.37 ======= end of input processing =======
% 0.21/0.45
% 0.21/0.45 Model 1 (0.00 seconds, 0 Inserts)
% 0.21/0.45
% 0.21/0.45 Stopped by limit on number of solutions
% 0.21/0.45
% 0.21/0.45
% 0.21/0.45 -------------- Softie stats --------------
% 0.21/0.45
% 0.21/0.45 UPDATE_STOP: 300
% 0.21/0.45 SFINDER_TIME_LIMIT: 2
% 0.21/0.45 SHORT_CLAUSE_CUTOFF: 4
% 0.21/0.45 number of clauses in intial UL: 49
% 0.21/0.45 number of clauses initially in problem: 51
% 0.21/0.45 percentage of clauses intially in UL: 96
% 0.21/0.45 percentage of distinct symbols occuring in initial UL: 100
% 0.21/0.45 percent of all initial clauses that are short: 100
% 0.21/0.45 absolute distinct symbol count: 10
% 0.21/0.45 distinct predicate count: 4
% 0.21/0.45 distinct function count: 4
% 0.21/0.45 distinct constant count: 2
% 0.21/0.45
% 0.21/0.45 ---------- no more Softie stats ----------
% 0.21/0.45
% 0.21/0.45
% 0.21/0.45
% 0.21/0.45 Model 2 (0.00 seconds, 0 Inserts)
% 0.21/0.45
% 0.21/0.45 Stopped by limit on number of solutions
% 0.21/0.45
% 0.21/0.45 =========== start of search ===========
% 5.84/6.08
% 5.84/6.08
% 5.84/6.08 Changing weight limit from 60 to 18.
% 5.84/6.08
% 5.84/6.08 Stopped by limit on insertions
% 5.84/6.08
% 5.84/6.08 Model 3 [ 1 2 691 ] (0.00 seconds, 250000 Inserts)
% 5.84/6.08
% 5.84/6.08 Stopped by limit on insertions
% 5.84/6.08
% 5.84/6.08 Model 4 [ 1 2 509 ] (0.00 seconds, 250000 Inserts)
% 5.84/6.08
% 5.84/6.08 Stopped by limit on insertions
% 5.84/6.08
% 5.84/6.08 Model 5 [ 1 1 216 ] (0.00 seconds, 250000 Inserts)
% 5.84/6.08
% 5.84/6.08 Stopped by limit on insertions
% 5.84/6.08
% 5.84/6.08 Model 6 [ 1 2 153 ] (0.00 seconds, 250000 Inserts)
% 5.84/6.08
% 5.84/6.08 Stopped by limit on insertions
% 5.84/6.08
% 5.84/6.08 Model 7 [ 2 2 102 ] (0.00 seconds, 250000 Inserts)
% 5.84/6.08
% 5.84/6.08 Stopped by limit on insertions
% 5.84/6.08
% 5.84/6.08 Model 8 [ 1 4 24015 ] (0.00 seconds, 250000 Inserts)
% 5.84/6.08
% 5.84/6.08 Stopped by limit on insertions
% 5.84/6.08
% 5.84/6.08 Model 9 [ 1 1 433 ] (0.00 seconds, 250000 Inserts)
% 5.84/6.08
% 5.84/6.08 Stopped by limit on insertions
% 5.84/6.08
% 5.84/6.08 Model 10 [ 1 1 577 ] (0.00 seconds, 250000 Inserts)
% 5.84/6.08
% 5.84/6.08 Stopped by limit on insertions
% 5.84/6.08
% 5.84/6.08 Model 11 [ 1 1 222 ] (0.00 seconds, 250000 Inserts)
% 5.84/6.08
% 5.84/6.08 Stopped by limit on insertions
% 5.84/6.08
% 5.84/6.08 Model 12 [ 10 1 150 ] (0.00 seconds, 250000 Inserts)
% 5.84/6.08
% 5.84/6.08 Stopped by limit on insertions
% 5.84/6.08
% 5.84/6.08 Model 13 [ 10 2 123 ] (0.00 seconds, 250000 Inserts)
% 5.84/6.08
% 5.84/6.08 Stopped by limit on insertions
% 5.84/6.08
% 5.84/6.08 Model 14 [ 2 1 162 ] (0.00 seconds, 250000 Inserts)
% 5.84/6.08
% 5.84/6.08 Stopped by limit on insertions
% 5.84/6.08
% 5.84/6.08 Model 15 [ 2 2 192 ] (0.00 seconds, 250000 Inserts)
% 5.84/6.08
% 5.84/6.08 Stopped by limit on insertions
% 5.84/6.08
% 5.84/6.08 Model 16 [ 13 1 116 ] (0.00 seconds, 250000 Inserts)
% 5.84/6.08
% 5.84/6.08 Stopped by limit on insertions
% 5.84/6.08
% 5.84/6.08 Model 17 [ 4 1 283 ] (0.00 seconds, 250000 Inserts)
% 5.84/6.08
% 5.84/6.08 Stopped by limit on insertions
% 5.84/6.08
% 5.84/6.08 Model 18 [ 14 1 124 ] (0.00 seconds, 250000 Inserts)
% 5.84/6.08
% 5.84/6.08 Stopped by limit on insertions
% 5.84/6.08
% 5.84/6.08 Model 19 [ 5 1 1344 ] (0.00 seconds, 250000 Inserts)
% 5.84/6.08
% 5.84/6.08 Stopped by limit on insertions
% 5.84/6.08
% 5.84/6.08 Model 20 [ 5 2 534 ] (0.00 seconds, 250000 Inserts)
% 5.84/6.08
% 5.84/6.08 Stopped by limit on insertions
% 5.84/6.08
% 5.84/6.08 Model 21 [ 19 1 314 ] (0.00 seconds, 250000 Inserts)
% 5.84/6.08
% 5.84/6.08 Stopped by limit on insertions
% 5.84/6.08
% 5.84/6.08 Model 22 [ 20 1 159 ] (0.00 seconds, 250000 Inserts)
% 5.84/6.08
% 5.84/6.08 Stopped by limit on insertions
% 5.84/6.08
% 5.84/6.08 Model 23 [ 6 1 890 ] (0.00 seconds, 250000 Inserts)
% 5.84/6.08
% 5.84/6.08 Stopped by limit on insertions
% 5.84/6.08
% 5.84/6.08 Model 24 [ 21 2 111 ] (0.00 seconds, 250000 Inserts)
% 5.84/6.08
% 5.84/6.08 Stopped by limit on insertions
% 5.84/6.08
% 5.84/6.08 Model 25 [ 7 2 169 ] (0.00 seconds, 250000 Inserts)
% 5.84/6.08
% 5.84/6.08 Stopped by limit on insertions
% 5.84/6.08
% 5.84/6.08 Model 26 [ 7 1 296 ] (0.00 seconds, 250000 Inserts)
% 5.84/6.08
% 5.84/6.08 Stopped by limit on insertions
% 5.84/6.08
% 5.84/6.08 Model 27 [ 21 1 200 ] (0.00 seconds, 250000 Inserts)
% 5.84/6.08
% 5.84/6.08 Stopped by limit on insertions
% 5.84/6.08
% 5.84/6.08 Model 28 [ 25 2 101 ] (0.00 seconds, 250000 Inserts)
% 5.84/6.08
% 5.84/6.08 Stopped by limit on insertions
% 5.84/6.08
% 5.84/6.08 Model 29 [ 24 1 128 ] (0.00 seconds, 250000 Inserts)
% 5.84/6.08
% 5.84/6.08 Stopped by limit on insertions
% 5.84/6.08
% 5.84/6.08 Model 30 [ 8 1 510 ] (0.00 seconds, 250000 Inserts)
% 5.84/6.08
% 5.84/6.08 Stopped by limit on insertions
% 5.84/6.08
% 5.84/6.08 Stopped by limit on insertions
% 5.84/6.08
% 5.84/6.08 Model 31 [ 9 1 158 ] (0.00 seconds, 250000 Inserts)
% 5.84/6.08
% 5.84/6.08 Stopped by limit on insertions
% 5.84/6.08
% 5.84/6.08 Model 32 [ 10 2 844 ] (0.00 seconds, 250000 Inserts)
% 5.84/6.08
% 5.84/6.08 Stopped by limit on insertions
% 5.84/6.08
% 5.84/6.08 Model 33 [ 9 2 130 ] (0.00 seconds, 250000 Inserts)
% 5.84/6.08
% 5.84/6.08 Stopped by limit on insertions
% 5.84/6.08
% 5.84/6.08 Model 34 [ 26 2 157 ] (0.00 seconds, 250000 Inserts)
% 5.84/6.08
% 5.84/6.08 Stopped by limit on insertions
% 5.84/6.08
% 5.84/6.08 Model 35 [ 12 2 786 ] (0.00 seconds, 250000 Inserts)
% 5.84/6.08
% 5.84/6.08 Stopped by limit on insertions
% 5.84/6.08
% 5.84/6.08 Model 36 [ 8 1 321 ] (0.00 seconds, 250000 Inserts)
% 5.84/6.08
% 5.84/6.08 Stopped by limit on insertions
% 5.84/6.08
% 5.84/6.08 Model 37 [ 33 2 200 ] (0.00 seconds, 250000 Inserts)
% 5.84/6.08
% 5.84/6.08 Stopped by limit on insertions
% 5.84/6.08
% 5.84/6.08 Model 38 [ 32 1 178 ] (0.00 seconds, 250000 Inserts)
% 5.84/6.08
% 5.84/6.08 Stopped by limit on insertions
% 5.84/6.08
% 5.84/6.08 Model 39 [ 11 1 518 ] (0.00 seconds, 250000 Inserts)
% 5.84/6.08
% 5.84/6.08 Stopped by limit on insertions
% 5.84/6.08
% 5.84/6.08 Model 40 [ 34 2 244 ] (0.00 seconds, 250000 Inserts)
% 5.84/6.08
% 5.84/6.08 Resetting weight limit to 18 after 55 givens.
% 5.84/6.08
% 11.11/11.36
% 11.11/11.36 -- HEY sandbox, WE HAVE A PROOF!! --
% 11.11/11.36
% 11.11/11.36 Stopped by limit on insertions
% 11.11/11.36
% 11.11/11.36 Model 41 [ 30 2 115 ] (0.00 seconds, 250000 Inserts)
% 11.11/11.36
% 11.11/11.36 Stopped by limit on insertions
% 11.11/11.36
% 11.11/11.36 Model 42 [ 11 2 496 ] (0.00 seconds, 250000 Inserts)
% 11.11/11.36
% 11.11/11.36 Stopped by limit on insertions
% 11.11/11.36
% 11.11/11.36 Model 43 [ 27 1 1263 ] (0.00 seconds, 250000 Inserts)
% 11.11/11.36
% 11.11/11.36 Stopped by limit on insertions
% 11.11/11.36
% 11.11/11.36 Model 44 [ 10 3 92019 ] (0.00 seconds, 250000 Inserts)
% 11.11/11.36
% 11.11/11.36 Stopped by limit on insertions
% 11.11/11.36
% 11.11/11.36 Model 45 [ 11 1 305 ] (0.00 seconds, 250000 Inserts)
% 11.11/11.36
% 11.11/11.36 Stopped by limit on insertions
% 11.11/11.36
% 11.11/11.36 Model 46 [ 34 1 145 ] (0.00 seconds, 250000 Inserts)
% 11.11/11.36
% 11.11/11.36 Stopped by limit on insertions
% 11.11/11.36
% 11.11/11.36 Stopped by limit on insertions
% 11.11/11.36
% 11.11/11.36 Model 47 [ 9 4 12828 ] (0.00 seconds, 250000 Inserts)
% 11.11/11.36
% 11.11/11.36 Stopped by limit on insertions
% 11.11/11.36
% 11.11/11.36 Model 48 [ 14 1 304 ] (0.00 seconds, 250000 Inserts)
% 11.11/11.36
% 11.11/11.36 Stopped by limit on insertions
% 11.11/11.36
% 11.11/11.36 Stopped by limit on insertions
% 11.11/11.36
% 11.11/11.36 Model 49 [ 13 1 106 ] (0.00 seconds, 250000 Inserts)
% 11.11/11.36
% 11.11/11.36 Stopped by limit on insertions
% 11.11/11.36
% 11.11/11.36 Model 50 [ 36 1 267 ] (0.00 seconds, 250000 Inserts)
% 11.11/11.36
% 11.11/11.36 Stopped by limit on insertions
% 11.11/11.36
% 11.11/11.36 Model 51 [ 43 1 102 ] (0.00 seconds, 250000 Inserts)
% 11.11/11.36
% 11.11/11.36 Stopped by limit on insertions
% 11.11/11.36
% 11.11/11.36 Model 52 [ 11 3 6351 ] (0.00 seconds, 250000 Inserts)
% 11.11/11.36
% 11.11/11.36 Stopped by limit on insertions
% 11.11/11.36
% 11.11/11.36 Model 53 [ 16 1 108 ] (0.00 seconds, 250000 Inserts)
% 11.11/11.36
% 11.11/11.36 Stopped by limit on insertions
% 11.11/11.36
% 11.11/11.36 Model 54 [ 17 1 782 ] (0.00 seconds, 250000 Inserts)
% 11.11/11.36
% 11.11/11.36 Stopped by limit on insertions
% 11.11/11.36
% 11.11/11.36 Model 55 [ 33 1 136 ] (0.00 seconds, 250000 Inserts)
% 11.11/11.36
% 11.11/11.36 Stopped by limit on insertions
% 11.11/11.36
% 11.11/11.36 Model 56 [ 15 1 171 ] (0.00 seconds, 250000 Inserts)
% 11.11/11.36
% 11.11/11.36 Stopped by limit on insertions
% 11.11/11.36
% 11.11/11.36 Model 57 [ 51 1 179 ] (0.00 seconds, 250000 Inserts)
% 11.11/11.36
% 11.11/11.36 Stopped by limit on insertions
% 11.11/11.36
% 11.11/11.36 Model 58 [ 36 2 305 ] (0.00 seconds, 250000 Inserts)
% 11.11/11.36
% 11.11/11.36 Stopped by limit on insertions
% 11.11/11.36
% 11.11/11.36 Model 59 [ 17 1 4306 ] (0.00 seconds, 250000 Inserts)
% 11.11/11.36
% 11.11/11.36 Stopped by limit on insertions
% 11.11/11.36
% 11.11/11.36 Model 60 [ 40 1 551 ] (0.00 seconds, 250000 Inserts)
% 11.11/11.36
% 11.11/11.36 ----> UNIT CONFLICT at 10.92 sec ----> 18994 [binary,18993.1,26.1] {-} $F.
% 11.11/11.36
% 11.11/11.36 Length of proof is 10. Level of proof is 4.
% 11.11/11.36
% 11.11/11.36 ---------------- PROOF ----------------
% 11.11/11.36 % SZS status Unsatisfiable
% 11.11/11.36 % SZS output start Refutation
% 11.11/11.36
% 11.11/11.36 3 [] {+} sum(additive_identity,A,A)| -defined(A).
% 11.11/11.36 6 [] {+} product(A,B,C)| -product(A,D,E)| -product(D,F,B)| -product(E,F,C).
% 11.11/11.36 8 [] {+} product(multiplicative_identity,A,A)| -defined(A).
% 11.11/11.36 9 [] {+} product(multiplicative_inverse(A),A,multiplicative_identity)|sum(additive_identity,A,additive_identity)| -defined(A).
% 11.11/11.36 10 [] {+} product(A,B,C)| -product(B,A,C).
% 11.11/11.36 11 [] {+} sum(A,B,C)| -sum(D,E,F)| -product(F,G,C)| -product(D,G,A)| -product(E,G,B).
% 11.11/11.36 16 [] {+} defined(multiplicative_inverse(A))| -defined(A)|sum(additive_identity,A,additive_identity).
% 11.11/11.36 25 [] {+} -sum(additive_identity,multiplicative_identity,additive_identity).
% 11.11/11.36 26 [] {+} -sum(additive_identity,multiplicative_inverse(multiplicative_identity),multiplicative_identity).
% 11.11/11.36 50 [] {+} defined(additive_identity).
% 11.11/11.36 51 [] {-} defined(multiplicative_identity).
% 11.11/11.36 60 [hyper,50,8] {+} product(multiplicative_identity,additive_identity,additive_identity).
% 11.11/11.36 73 [hyper,51,16,unit_del,25] {+} defined(multiplicative_inverse(multiplicative_identity)).
% 11.11/11.36 79 [hyper,51,9,unit_del,25] {+} product(multiplicative_inverse(multiplicative_identity),multiplicative_identity,multiplicative_identity).
% 11.11/11.36 80 [hyper,51,8] {+} product(multiplicative_identity,multiplicative_identity,multiplicative_identity).
% 11.11/11.36 82 [hyper,51,3] {+} sum(additive_identity,multiplicative_identity,multiplicative_identity).
% 11.11/11.36 109 [hyper,73,8] {+} product(multiplicative_identity,multiplicative_inverse(multiplicative_identity),multiplicative_inverse(multiplicative_identity)).
% 11.11/11.36 669 [hyper,79,10] {+} product(multiplicative_identity,multiplicative_inverse(multiplicative_identity),multiplicative_identity).
% 11.11/11.36 900 [hyper,60,10] {+} product(additive_identity,multiplicative_identity,additive_identity).
% 11.11/11.36 18977 [hyper,109,6,80,669] {+} product(multiplicative_identity,multiplicative_identity,multiplicative_inverse(multiplicative_identity)).
% 11.11/11.36 18993 [hyper,18977,11,82,80,900] {-} sum(additive_identity,multiplicative_inverse(multiplicative_identity),multiplicative_identity).
% 11.11/11.36 18994 [binary,18993.1,26.1] {-} $F.
% 11.11/11.36
% 11.11/11.36 % SZS output end Refutation
% 11.11/11.36 ------------ end of proof -------------
% 11.11/11.36
% 11.11/11.36
% 11.11/11.36 Search stopped by max_proofs option.
% 11.11/11.36
% 11.11/11.36
% 11.11/11.36 Search stopped by max_proofs option.
% 11.11/11.36
% 11.11/11.36 ============ end of search ============
% 11.11/11.36
% 11.11/11.36 ----------- soft-scott stats ----------
% 11.11/11.36
% 11.11/11.36 true clauses given 24 (20.0%)
% 11.11/11.36 false clauses given 96
% 11.11/11.36
% 11.11/11.36 FALSE TRUE
% 11.11/11.36 5 1 2
% 11.11/11.36 6 146 19
% 11.11/11.36 7 460 38
% 11.11/11.36 8 868 63
% 11.11/11.36 9 1025 52
% 11.11/11.36 10 0 35
% 11.11/11.36 11 0 7
% 11.11/11.36 12 0 42
% 11.11/11.36 13 0 3
% 11.11/11.36 14 0 99
% 11.11/11.36 16 0 183
% 11.11/11.36 18 0 630
% 11.11/11.36 tot: 2500 1173 (31.9% true)
% 11.11/11.36
% 11.11/11.36
% 11.11/11.36 Model 60 [ 40 1 551 ] (0.00 seconds, 250000 Inserts)
% 11.11/11.36
% 11.11/11.36 That finishes the proof of the theorem.
% 11.11/11.36
% 11.11/11.36 Process 3508 finished Mon Jun 6 15:13:09 2022
%------------------------------------------------------------------------------