TSTP Solution File: PUZ030-1 by SOS---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : PUZ030-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : sos-script %s
% Computer : n027.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 18:27:00 EDT 2022
% Result : Unsatisfiable 0.75s 0.95s
% Output : Refutation 0.75s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : PUZ030-1 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.12 % Command : sos-script %s
% 0.12/0.33 % Computer : n027.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 : Sat May 28 19:55:59 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.34 ----- Otter 3.2, August 2001 -----
% 0.12/0.34 The process was started by sandbox on n027.cluster.edu,
% 0.12/0.34 Sat May 28 19:55:59 2022
% 0.12/0.34 The command was "./sos". The process ID is 24376.
% 0.12/0.34
% 0.12/0.34 set(prolog_style_variables).
% 0.12/0.34 set(auto).
% 0.12/0.34 dependent: set(auto1).
% 0.12/0.34 dependent: set(process_input).
% 0.12/0.34 dependent: clear(print_kept).
% 0.12/0.34 dependent: clear(print_new_demod).
% 0.12/0.34 dependent: clear(print_back_demod).
% 0.12/0.34 dependent: clear(print_back_sub).
% 0.12/0.34 dependent: set(control_memory).
% 0.12/0.34 dependent: assign(max_mem, 12000).
% 0.12/0.34 dependent: assign(pick_given_ratio, 4).
% 0.12/0.34 dependent: assign(stats_level, 1).
% 0.12/0.34 dependent: assign(pick_semantic_ratio, 3).
% 0.12/0.34 dependent: assign(sos_limit, 5000).
% 0.12/0.34 dependent: assign(max_weight, 60).
% 0.12/0.34 clear(print_given).
% 0.12/0.34
% 0.12/0.34 list(usable).
% 0.12/0.34
% 0.12/0.34 SCAN INPUT: prop=0, horn=0, equality=0, symmetry=0, max_lits=7.
% 0.12/0.34
% 0.12/0.34 This is a non-Horn set without equality. The strategy
% 0.12/0.34 will be ordered hyper_res, ur_res, unit deletion, and
% 0.12/0.34 factoring, with satellites in sos and nuclei in usable.
% 0.12/0.34
% 0.12/0.34 dependent: set(hyper_res).
% 0.12/0.34 dependent: set(factor).
% 0.12/0.34 dependent: set(unit_deletion).
% 0.12/0.34
% 0.12/0.34 ------------> process usable:
% 0.12/0.34
% 0.12/0.34 ------------> process sos:
% 0.12/0.34
% 0.12/0.34 ======= end of input processing =======
% 0.12/0.38
% 0.12/0.38 Model 1 (0.00 seconds, 0 Inserts)
% 0.12/0.38
% 0.12/0.38 Stopped by limit on number of solutions
% 0.12/0.38
% 0.12/0.38
% 0.12/0.38 -------------- Softie stats --------------
% 0.12/0.38
% 0.12/0.38 UPDATE_STOP: 300
% 0.12/0.38 SFINDER_TIME_LIMIT: 2
% 0.12/0.38 SHORT_CLAUSE_CUTOFF: 4
% 0.12/0.38 number of clauses in intial UL: 41
% 0.12/0.38 number of clauses initially in problem: 43
% 0.12/0.38 percentage of clauses intially in UL: 95
% 0.12/0.38 percentage of distinct symbols occuring in initial UL: 100
% 0.12/0.38 percent of all initial clauses that are short: 100
% 0.12/0.38 absolute distinct symbol count: 10
% 0.12/0.38 distinct predicate count: 5
% 0.12/0.38 distinct function count: 0
% 0.12/0.38 distinct constant count: 5
% 0.12/0.38
% 0.12/0.38 ---------- no more Softie stats ----------
% 0.12/0.38
% 0.12/0.38
% 0.12/0.38
% 0.12/0.38 =========== start of search ===========
% 0.75/0.95
% 0.75/0.95 -------- PROOF --------
% 0.75/0.95 % SZS status Unsatisfiable
% 0.75/0.95 % SZS output start Refutation
% 0.75/0.95
% 0.75/0.95 Model 2 [ 1 0 394 ] (0.00 seconds, 1493 Inserts)
% 0.75/0.95
% 0.75/0.95 Model 3 [ 5 0 326 ] (0.00 seconds, 2613 Inserts)
% 0.75/0.95
% 0.75/0.95 Model 4 [ 5 1 1204 ] (0.00 seconds, 2592 Inserts)
% 0.75/0.95
% 0.75/0.95 Model 5 [ 5 1 548 ] (0.00 seconds, 2682 Inserts)
% 0.75/0.95
% 0.75/0.95 Model 6 [ 6 0 944 ] (0.00 seconds, 3383 Inserts)
% 0.75/0.95
% 0.75/0.95 Model 7 [ 6 0 389 ] (0.00 seconds, 2483 Inserts)
% 0.75/0.95
% 0.75/0.95 Model 8 [ 7 1 1048 ] (0.00 seconds, 3291 Inserts)
% 0.75/0.95
% 0.75/0.95 Model 9 [ 7 1 545 ] (0.00 seconds, 1943 Inserts)
% 0.75/0.95
% 0.75/0.95 Model 10 [ 11 0 1027 ] (0.00 seconds, 1903 Inserts)
% 0.75/0.95
% 0.75/0.95 Model 11 [ 12 1 970 ] (0.00 seconds, 2443 Inserts)
% 0.75/0.95
% 0.75/0.95 Model 12 [ 14 1 496 ] (0.00 seconds, 2768 Inserts)
% 0.75/0.95
% 0.75/0.95 Model 13 [ 13 1 928 ] (0.00 seconds, 2146 Inserts)
% 0.75/0.95
% 0.75/0.95 Model 14 [ 15 1 817 ] (0.00 seconds, 2481 Inserts)
% 0.75/0.95
% 0.75/0.95 Model 15 [ 14 0 805 ] (0.00 seconds, 3348 Inserts)
% 0.75/0.95
% 0.75/0.95 Model 16 [ 16 0 280 ] (0.00 seconds, 2851 Inserts)
% 0.75/0.95
% 0.75/0.95 Model 17 [ 15 1 1019 ] (0.00 seconds, 3548 Inserts)
% 0.75/0.95
% 0.75/0.95 Model 18 [ 17 0 222 ] (0.00 seconds, 1597 Inserts)
% 0.75/0.95
% 0.75/0.95 Model 19 [ 17 1 977 ] (0.00 seconds, 2454 Inserts)
% 0.75/0.95
% 0.75/0.95 Model 20 [ 19 0 251 ] (0.00 seconds, 3238 Inserts)
% 0.75/0.95
% 0.75/0.95 Model 21 [ 18 1 846 ] (0.00 seconds, 3632 Inserts)
% 0.75/0.95
% 0.75/0.95 Model 22 [ 20 1 399 ] (0.00 seconds, 2212 Inserts)
% 0.75/0.95
% 0.75/0.95 Model 23 [ 19 1 569 ] (0.00 seconds, 2085 Inserts)
% 0.75/0.95
% 0.75/0.95 Model 24 [ 21 1 403 ] (0.00 seconds, 1228 Inserts)
% 0.75/0.95
% 0.75/0.95 Model 25 [ 20 0 419 ] (0.00 seconds, 1524 Inserts)
% 0.75/0.95
% 0.75/0.95 Model 26 [ 22 1 298 ] (0.00 seconds, 1574 Inserts)
% 0.75/0.95
% 0.75/0.95 Model 27 [ 32 1 549 ] (0.00 seconds, 859 Inserts)
% 0.75/0.95
% 0.75/0.95 Model 28 [ 23 0 131 ] (0.00 seconds, 1678 Inserts)
% 0.75/0.95
% 0.75/0.95 -----> EMPTY CLAUSE at 0.58 sec ----> 544 [hyper,543,5,535] {-} $F.
% 0.75/0.95
% 0.75/0.95 Length of proof is 89. Level of proof is 40.
% 0.75/0.95
% 0.75/0.95 ---------------- PROOF ----------------
% 0.75/0.95 % SZS status Unsatisfiable
% 0.75/0.95 % SZS output start Refutation
% 0.75/0.95
% 0.75/0.95 1 [] {+} -both(A)|salt(A).
% 0.75/0.95 2 [] {+} -both(A)|mustard(A).
% 0.75/0.95 3 [] {+} -salt(A)| -mustard(A)|both(A).
% 0.75/0.95 4 [] {+} -oneof(A)|salt(A)|mustard(A).
% 0.75/0.95 5 [] {+} -oneof(A)| -both(A).
% 0.75/0.95 6 [] {+} -oneof(A)| -neither(A).
% 0.75/0.95 7 [] {+} -oneof(A)| -salt(A)| -mustard(A).
% 0.75/0.95 9 [] {+} -neither(A)| -salt(A).
% 0.75/0.95 10 [] {+} -neither(A)| -mustard(A).
% 0.75/0.95 11 [] {+} -salt(barry)|oneof(cole)|oneof(lang).
% 0.75/0.95 12 [] {+} -oneof(cole)|salt(barry).
% 0.75/0.95 13 [] {+} -oneof(lang)|salt(barry).
% 0.75/0.95 14 [] {+} -mustard(barry)|neither(dix)|both(mill).
% 0.75/0.95 15 [] {+} -neither(dix)|mustard(barry).
% 0.75/0.95 17 [] {+} -salt(cole)|oneof(barry)|neither(mill).
% 0.75/0.95 20 [] {+} -mustard(cole)|both(dix)|both(lang).
% 0.75/0.95 22 [] {+} -both(lang)|mustard(cole).
% 0.75/0.95 23 [] {+} -salt(dix)|neither(barry)|both(cole).
% 0.75/0.95 26 [] {+} -mustard(dix)|neither(lang)|neither(mill).
% 0.75/0.95 27 [] {+} -neither(lang)|mustard(dix).
% 0.75/0.95 29 [] {+} -salt(lang)|oneof(barry)|oneof(dix).
% 0.75/0.95 30 [] {+} -oneof(barry)|salt(lang).
% 0.75/0.95 31 [] {+} -oneof(dix)|salt(lang).
% 0.75/0.95 32 [] {+} -mustard(lang)|neither(cole)|neither(mill).
% 0.75/0.95 33 [] {+} -neither(cole)|mustard(lang).
% 0.75/0.95 34 [] {+} -neither(mill)|mustard(lang).
% 0.75/0.95 35 [] {+} -salt(mill)|both(barry)|both(lang).
% 0.75/0.95 36 [] {+} -both(barry)|salt(mill).
% 0.75/0.95 37 [] {+} -both(lang)|mustard(mill).
% 0.75/0.95 38 [] {+} -mustard(mill)|oneof(cole)|oneof(dix).
% 0.75/0.95 39 [] {+} -oneof(cole)|mustard(mill).
% 0.75/0.95 40 [] {+} -oneof(dix)|mustard(mill).
% 0.75/0.95 41 [] {+} -neither(cole)| -neither(dix)| -both(barry)| -oneof(lang)| -salt(mill)| -mustard(lang)| -oneof(mill).
% 0.75/0.95 42 [] {-} both(A)|neither(A)|oneof(A).
% 0.75/0.95 43 [] {+} salt(A)|mustard(A)|neither(A).
% 0.75/0.95 45 [hyper,42,39] {+} both(cole)|neither(cole)|mustard(mill).
% 0.75/0.95 46 [hyper,42,31] {+} both(dix)|neither(dix)|salt(lang).
% 0.75/0.95 47 [hyper,42,30] {+} both(barry)|neither(barry)|salt(lang).
% 0.75/0.95 49 [hyper,42,13] {-} both(lang)|neither(lang)|salt(barry).
% 0.75/0.95 50 [hyper,42,12] {+} both(cole)|neither(cole)|salt(barry).
% 0.75/0.95 51 [hyper,43,35] {+} mustard(mill)|neither(mill)|both(barry)|both(lang).
% 0.75/0.95 52 [hyper,43,29] {+} mustard(lang)|neither(lang)|oneof(barry)|oneof(dix).
% 0.75/0.95 53 [hyper,43,23] {+} mustard(dix)|neither(dix)|neither(barry)|both(cole).
% 0.75/0.95 54 [hyper,43,17] {+} mustard(cole)|neither(cole)|oneof(barry)|neither(mill).
% 0.75/0.95 57 [hyper,45,33] {+} both(cole)|mustard(mill)|mustard(lang).
% 0.75/0.95 62 [hyper,51,34] {+} mustard(mill)|both(barry)|both(lang)|mustard(lang).
% 0.75/0.95 65 [hyper,57,38] {+} both(cole)|mustard(lang)|oneof(cole)|oneof(dix).
% 0.75/0.95 69 [hyper,52,40] {+} mustard(lang)|neither(lang)|oneof(barry)|mustard(mill).
% 0.75/0.95 70 [hyper,52,4] {+} mustard(lang)|neither(lang)|oneof(barry)|salt(dix)|mustard(dix).
% 0.75/0.95 71 [hyper,53,15] {+} mustard(dix)|neither(barry)|both(cole)|mustard(barry).
% 0.75/0.95 73 [hyper,53,9,50,factor_simp] {+} mustard(dix)|neither(dix)|both(cole)|neither(cole).
% 0.75/0.95 92 [hyper,62,3,47,factor_simp,factor_simp] {+} mustard(mill)|both(barry)|both(lang)|neither(barry).
% 0.75/0.95 98 [hyper,65,31] {+} both(cole)|mustard(lang)|oneof(cole)|salt(lang).
% 0.75/0.95 105 [hyper,71,9,50,factor_simp] {+} mustard(dix)|both(cole)|mustard(barry)|neither(cole).
% 0.75/0.95 110 [hyper,73,33] {+} mustard(dix)|neither(dix)|both(cole)|mustard(lang).
% 0.75/0.95 115 [hyper,92,9,49,factor_simp] {-} mustard(mill)|both(barry)|both(lang)|neither(lang).
% 0.75/0.95 117 [hyper,115,10,62,factor_simp,factor_simp,factor_simp] {-} mustard(mill)|both(barry)|both(lang).
% 0.75/0.95 118 [hyper,117,38] {-} both(barry)|both(lang)|oneof(cole)|oneof(dix).
% 0.75/0.95 122 [hyper,118,31] {-} both(barry)|both(lang)|oneof(cole)|salt(lang).
% 0.75/0.95 134 [hyper,105,33] {+} mustard(dix)|both(cole)|mustard(barry)|mustard(lang).
% 0.75/0.95 135 [hyper,110,9,70,factor_simp,factor_simp] {+} mustard(dix)|both(cole)|mustard(lang)|neither(lang)|oneof(barry).
% 0.75/0.95 137 [hyper,110,6,65,factor_simp,factor_simp] {+} mustard(dix)|both(cole)|mustard(lang)|oneof(cole).
% 0.75/0.95 155 [hyper,137,12] {+} mustard(dix)|both(cole)|mustard(lang)|salt(barry).
% 0.75/0.95 191 [hyper,135,7,155,134,factor_simp,factor_simp,factor_simp,factor_simp,factor_simp,factor_simp] {+} mustard(dix)|both(cole)|mustard(lang)|neither(lang).
% 0.75/0.95 193 [hyper,191,27,factor_simp] {+} mustard(dix)|both(cole)|mustard(lang).
% 0.75/0.95 194 [hyper,193,26] {+} both(cole)|mustard(lang)|neither(lang)|neither(mill).
% 0.75/0.95 201 [hyper,194,34,factor_simp] {+} both(cole)|mustard(lang)|neither(lang).
% 0.75/0.95 203 [hyper,201,9,98,factor_simp,factor_simp] {+} both(cole)|mustard(lang)|oneof(cole).
% 0.75/0.95 204 [hyper,201,9,47] {+} both(cole)|mustard(lang)|both(barry)|neither(barry).
% 0.75/0.95 205 [hyper,201,9,46] {+} both(cole)|mustard(lang)|both(dix)|neither(dix).
% 0.75/0.95 208 [hyper,203,12] {+} both(cole)|mustard(lang)|salt(barry).
% 0.75/0.95 218 [hyper,204,9,208,factor_simp,factor_simp] {+} both(cole)|mustard(lang)|both(barry).
% 0.75/0.95 219 [hyper,218,32] {+} both(cole)|both(barry)|neither(cole)|neither(mill).
% 0.75/0.95 226 [hyper,218,3,122,factor_simp,factor_simp] {+} both(cole)|both(barry)|both(lang)|oneof(cole).
% 0.75/0.95 230 [hyper,205,10,193,factor_simp,factor_simp] {+} both(cole)|mustard(lang)|both(dix).
% 0.75/0.95 231 [hyper,230,32] {+} both(cole)|both(dix)|neither(cole)|neither(mill).
% 0.75/0.95 248 [hyper,219,10,117,factor_simp] {+} both(cole)|both(barry)|neither(cole)|both(lang).
% 0.75/0.95 278 [hyper,248,6,226,factor_simp,factor_simp,factor_simp] {+} both(cole)|both(barry)|both(lang).
% 0.75/0.95 285 [hyper,278,5,118,factor_simp,factor_simp] {-} both(barry)|both(lang)|oneof(dix).
% 0.75/0.95 287 [hyper,278,2] {+} both(barry)|both(lang)|mustard(cole).
% 0.75/0.95 296 [hyper,278,37] {+} both(cole)|both(barry)|mustard(mill).
% 0.75/0.95 303 [hyper,287,20,factor_simp] {+} both(barry)|both(lang)|both(dix).
% 0.75/0.95 317 [hyper,296,10,219,factor_simp,factor_simp] {-} both(cole)|both(barry)|neither(cole).
% 0.75/0.95 334 [hyper,303,5,285,factor_simp,factor_simp] {-} both(barry)|both(lang).
% 0.75/0.95 343 [hyper,334,37] {+} both(barry)|mustard(mill).
% 0.75/0.95 344 [hyper,334,22] {+} both(barry)|mustard(cole).
% 0.75/0.95 347 [hyper,334,2] {+} both(barry)|mustard(lang).
% 0.75/0.95 356 [hyper,347,32] {+} both(barry)|neither(cole)|neither(mill).
% 0.75/0.95 360 [hyper,317,10,344,factor_simp] {+} both(cole)|both(barry).
% 0.75/0.95 364 [hyper,360,36] {+} both(cole)|salt(mill).
% 0.75/0.95 389 [hyper,364,9,231,factor_simp] {-} both(cole)|both(dix)|neither(cole).
% 0.75/0.95 396 [hyper,356,10,343,factor_simp] {+} both(barry)|neither(cole).
% 0.75/0.95 397 [hyper,396,10,344,factor_simp] {-} both(barry).
% 0.75/0.95 400 [hyper,397,36] {-} salt(mill).
% 0.75/0.95 404 [hyper,397,5,69] {+} mustard(lang)|neither(lang)|mustard(mill).
% 0.75/0.95 405 [hyper,397,5,54] {-} mustard(cole)|neither(cole)|neither(mill).
% 0.75/0.95 407 [hyper,397,2] {+} mustard(barry).
% 0.75/0.95 408 [hyper,397,1] {+} salt(barry).
% 0.75/0.95 409 [hyper,408,11] {+} oneof(cole)|oneof(lang).
% 0.75/0.95 410 [hyper,407,14] {+} neither(dix)|both(mill).
% 0.75/0.95 416 [hyper,409,39] {+} oneof(lang)|mustard(mill).
% 0.75/0.95 443 [hyper,405,9,400] {+} mustard(cole)|neither(cole).
% 0.75/0.95 444 [hyper,443,33] {+} mustard(cole)|mustard(lang).
% 0.75/0.95 445 [hyper,443,6,409] {+} mustard(cole)|oneof(lang).
% 0.75/0.95 454 [hyper,445,41,443,410,397,400,444,42,factor_simp,factor_simp,factor_simp] {+} mustard(cole)|both(mill)|neither(mill).
% 0.75/0.95 455 [hyper,445,7,46,444,factor_simp] {+} mustard(cole)|both(dix)|neither(dix).
% 0.75/0.95 457 [hyper,404,6,416,factor_simp] {+} mustard(lang)|mustard(mill).
% 0.75/0.95 461 [hyper,457,3,400] {+} mustard(lang)|both(mill).
% 0.75/0.95 463 [hyper,461,32] {-} both(mill)|neither(cole)|neither(mill).
% 0.75/0.95 476 [hyper,454,9,400] {+} mustard(cole)|both(mill).
% 0.75/0.95 488 [hyper,463,10,476,factor_simp] {+} both(mill)|neither(mill).
% 0.75/0.95 494 [hyper,488,9,400] {-} both(mill).
% 0.75/0.95 496 [hyper,494,2] {+} mustard(mill).
% 0.75/0.95 497 [hyper,496,38] {+} oneof(cole)|oneof(dix).
% 0.75/0.95 498 [hyper,497,6,443] {+} oneof(dix)|mustard(cole).
% 0.75/0.95 508 [hyper,498,6,455,factor_simp] {+} mustard(cole)|both(dix).
% 0.75/0.95 513 [hyper,508,20,factor_simp] {+} both(dix)|both(lang).
% 0.75/0.95 514 [hyper,508,10,389,factor_simp] {+} both(dix)|both(cole).
% 0.75/0.95 522 [hyper,513,5,409] {+} both(dix)|oneof(cole).
% 0.75/0.95 534 [hyper,522,5,514,factor_simp] {+} both(dix).
% 0.75/0.95 535 [hyper,534,5,497] {+} oneof(cole).
% 0.75/0.95 538 [hyper,534,1] {+} salt(dix).
% 0.75/0.95 540 [hyper,538,23] {+} neither(barry)|both(cole).
% 0.75/0.95 543 [hyper,540,10,407] {+} both(cole).
% 0.75/0.95 544 [hyper,543,5,535] {-} $F.
% 0.75/0.95
% 0.75/0.95 % SZS output end Refutation
% 0.75/0.95 ------------ end of proof -------------
% 0.75/0.95
% 0.75/0.95
% 0.75/0.95 Search stopped by max_proofs option.
% 0.75/0.95
% 0.75/0.95
% 0.75/0.95 Search stopped by max_proofs option.
% 0.75/0.95
% 0.75/0.95 ============ end of search ============
% 0.75/0.95
% 0.75/0.95 ----------- soft-scott stats ----------
% 0.75/0.95
% 0.75/0.95 true clauses given 153 (72.9%)
% 0.75/0.95 false clauses given 57
% 0.75/0.95
% 0.75/0.95 FALSE TRUE
% 0.75/0.95 tot: 0 0 (-nan% true)
% 0.75/0.95
% 0.75/0.95
% 0.75/0.95 Model 28 [ 23 0 131 ] (0.00 seconds, 1678 Inserts)
% 0.75/0.95
% 0.75/0.95 That finishes the proof of the theorem.
% 0.75/0.95
% 0.75/0.95 Process 24376 finished Sat May 28 19:56:00 2022
%------------------------------------------------------------------------------