TSTP Solution File: LCL672+1.001 by SOS---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : LCL672+1.001 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : sos-script %s
% Computer : n004.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 14:31:57 EDT 2022
% Result : Theorem 120.53s 120.78s
% Output : Refutation 120.53s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.14 % Problem : LCL672+1.001 : TPTP v8.1.0. Released v4.0.0.
% 0.09/0.14 % Command : sos-script %s
% 0.14/0.36 % Computer : n004.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 600
% 0.14/0.36 % DateTime : Tue Jul 5 01:09:52 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.68/0.89 ----- Otter 3.2, August 2001 -----
% 0.68/0.89 The process was started by sandbox on n004.cluster.edu,
% 0.68/0.89 Tue Jul 5 01:09:52 2022
% 0.68/0.89 The command was "./sos". The process ID is 32707.
% 0.68/0.89
% 0.68/0.89 set(prolog_style_variables).
% 0.68/0.89 set(auto).
% 0.68/0.89 dependent: set(auto1).
% 0.68/0.89 dependent: set(process_input).
% 0.68/0.89 dependent: clear(print_kept).
% 0.68/0.89 dependent: clear(print_new_demod).
% 0.68/0.89 dependent: clear(print_back_demod).
% 0.68/0.89 dependent: clear(print_back_sub).
% 0.68/0.89 dependent: set(control_memory).
% 0.68/0.89 dependent: assign(max_mem, 12000).
% 0.68/0.89 dependent: assign(pick_given_ratio, 4).
% 0.68/0.89 dependent: assign(stats_level, 1).
% 0.68/0.89 dependent: assign(pick_semantic_ratio, 3).
% 0.68/0.89 dependent: assign(sos_limit, 5000).
% 0.68/0.89 dependent: assign(max_weight, 60).
% 0.68/0.89 clear(print_given).
% 0.68/0.89
% 0.68/0.89 formula_list(usable).
% 0.68/0.89
% 0.68/0.89 SCAN INPUT: prop=0, horn=0, equality=0, symmetry=0, max_lits=10.
% 0.68/0.89
% 0.68/0.89 This is a non-Horn set without equality. The strategy
% 0.68/0.89 will be ordered hyper_res, ur_res, unit deletion, and
% 0.68/0.89 factoring, with satellites in sos and nuclei in usable.
% 0.68/0.89
% 0.68/0.89 dependent: set(hyper_res).
% 0.68/0.89 dependent: set(factor).
% 0.68/0.89 dependent: set(unit_deletion).
% 0.68/0.89
% 0.68/0.89 ------------> process usable:
% 0.68/0.89
% 0.68/0.89 ------------> process sos:
% 0.68/0.89
% 0.68/0.89 ======= end of input processing =======
% 0.72/0.94
% 0.72/0.94 Model 1 (0.00 seconds, 0 Inserts)
% 0.72/0.94
% 0.72/0.94 Stopped by limit on number of solutions
% 0.72/0.94
% 0.72/0.94
% 0.72/0.94 -------------- Softie stats --------------
% 0.72/0.94
% 0.72/0.94 UPDATE_STOP: 300
% 0.72/0.94 SFINDER_TIME_LIMIT: 2
% 0.72/0.94 SHORT_CLAUSE_CUTOFF: 4
% 0.72/0.94 number of clauses in intial UL: 509
% 0.72/0.94 number of clauses initially in problem: 515
% 0.72/0.94 percentage of clauses intially in UL: 98
% 0.72/0.94 percentage of distinct symbols occuring in initial UL: 92
% 0.72/0.94 percent of all initial clauses that are short: 100
% 0.72/0.94 absolute distinct symbol count: 14
% 0.72/0.94 distinct predicate count: 3
% 0.72/0.94 distinct function count: 5
% 0.72/0.94 distinct constant count: 6
% 0.72/0.94
% 0.72/0.94 ---------- no more Softie stats ----------
% 0.72/0.94
% 0.72/0.94
% 0.72/0.94
% 0.72/0.94 Model 2 (0.00 seconds, 0 Inserts)
% 0.72/0.94
% 0.72/0.94 Stopped by limit on number of solutions
% 0.72/0.94
% 0.72/0.94 =========== start of search ===========
% 120.53/120.78
% 120.53/120.78 -- HEY sandbox, WE HAVE A PROOF!! --
% 120.53/120.78
% 120.53/120.78 Model 3 (0.00 seconds, 0 Inserts)
% 120.53/120.78
% 120.53/120.78 Stopped by limit on number of solutions
% 120.53/120.78
% 120.53/120.78 Model 4 (0.00 seconds, 0 Inserts)
% 120.53/120.78
% 120.53/120.78 Stopped by limit on number of solutions
% 120.53/120.78
% 120.53/120.78 Stopped by limit on insertions
% 120.53/120.78
% 120.53/120.78 Model 5 [ 1 1 90 ] (0.00 seconds, 250000 Inserts)
% 120.53/120.78
% 120.53/120.78 Model 6 (0.00 seconds, 250000 Inserts)
% 120.53/120.78
% 120.53/120.78 Stopped by limit on number of solutions
% 120.53/120.78
% 120.53/120.78 Stopped by limit on insertions
% 120.53/120.78
% 120.53/120.78 Model 7 [ 2 1 90 ] (0.00 seconds, 250000 Inserts)
% 120.53/120.78
% 120.53/120.78 Stopped by limit on insertions
% 120.53/120.78
% 120.53/120.78 Model 8 [ 1 1 5326 ] (0.00 seconds, 250000 Inserts)
% 120.53/120.78
% 120.53/120.78 Stopped by limit on insertions
% 120.53/120.78
% 120.53/120.78 Model 9 [ 3 1 108 ] (0.00 seconds, 250000 Inserts)
% 120.53/120.78
% 120.53/120.78 Stopped by limit on insertions
% 120.53/120.78
% 120.53/120.78 Model 10 [ 3 1 100 ] (0.00 seconds, 250000 Inserts)
% 120.53/120.78
% 120.53/120.78 Stopped by limit on insertions
% 120.53/120.78
% 120.53/120.78 Model 11 [ 3 0 192 ] (0.00 seconds, 250000 Inserts)
% 120.53/120.78
% 120.53/120.78 Stopped by limit on insertions
% 120.53/120.78
% 120.53/120.78 Model 12 [ 2 1 441 ] (0.00 seconds, 250000 Inserts)
% 120.53/120.78
% 120.53/120.78 Stopped by limit on insertions
% 120.53/120.78
% 120.53/120.78 Model 13 [ 4 1 119 ] (0.00 seconds, 250000 Inserts)
% 120.53/120.78
% 120.53/120.78 Stopped by limit on insertions
% 120.53/120.78
% 120.53/120.78 Model 14 [ 4 1 138 ] (0.00 seconds, 250000 Inserts)
% 120.53/120.78
% 120.53/120.78 Stopped by limit on insertions
% 120.53/120.78
% 120.53/120.78 Model 15 [ 3 1 90 ] (0.00 seconds, 250000 Inserts)
% 120.53/120.78
% 120.53/120.78 Stopped by limit on insertions
% 120.53/120.78
% 120.53/120.78 Model 16 [ 4 1 89 ] (0.00 seconds, 250000 Inserts)
% 120.53/120.78
% 120.53/120.78 Stopped by limit on insertions
% 120.53/120.78
% 120.53/120.78 Model 17 [ 3 1 86 ] (0.00 seconds, 250000 Inserts)
% 120.53/120.78
% 120.53/120.78 Stopped by limit on insertions
% 120.53/120.78
% 120.53/120.78 Model 18 [ 3 0 268 ] (0.00 seconds, 250000 Inserts)
% 120.53/120.78
% 120.53/120.78 Stopped by limit on insertions
% 120.53/120.78
% 120.53/120.78 Model 19 [ 3 1 93 ] (0.00 seconds, 250000 Inserts)
% 120.53/120.78
% 120.53/120.78 Stopped by limit on insertions
% 120.53/120.78
% 120.53/120.78 Model 20 [ 3 1 343 ] (0.00 seconds, 250000 Inserts)
% 120.53/120.78
% 120.53/120.78 Stopped by limit on insertions
% 120.53/120.78
% 120.53/120.78 Model 21 [ 3 1 98 ] (0.00 seconds, 250000 Inserts)
% 120.53/120.78
% 120.53/120.78 Stopped by limit on insertions
% 120.53/120.78
% 120.53/120.78 Model 22 [ 3 1 603 ] (0.00 seconds, 250000 Inserts)
% 120.53/120.78
% 120.53/120.78 Stopped by limit on insertions
% 120.53/120.78
% 120.53/120.78 Model 23 [ 3 1 142 ] (0.00 seconds, 250000 Inserts)
% 120.53/120.78
% 120.53/120.78 Stopped by limit on insertions
% 120.53/120.78
% 120.53/120.78 Model 24 [ 4 1 129 ] (0.00 seconds, 250000 Inserts)
% 120.53/120.78
% 120.53/120.78 Stopped by limit on insertions
% 120.53/120.78
% 120.53/120.78 Model 25 [ 2 1 87 ] (0.00 seconds, 250000 Inserts)
% 120.53/120.78
% 120.53/120.78 Stopped by limit on insertions
% 120.53/120.78
% 120.53/120.78 Model 26 [ 9 1 90 ] (0.00 seconds, 250000 Inserts)
% 120.53/120.78
% 120.53/120.78 Stopped by limit on insertions
% 120.53/120.78
% 120.53/120.78 Model 27 [ 1 1 98 ] (0.00 seconds, 250000 Inserts)
% 120.53/120.78
% 120.53/120.78 -----> EMPTY CLAUSE at 119.94 sec ----> 54719 [hyper,4915,57,511,512,510,513,514,740,unit_del,11,13] {-} $F.
% 120.53/120.78
% 120.53/120.78 Length of proof is 4. Level of proof is 2.
% 120.53/120.78
% 120.53/120.78 ---------------- PROOF ----------------
% 120.53/120.78 % SZS status Theorem
% 120.53/120.78 % SZS output start Refutation
% 120.53/120.78
% 120.53/120.78 1 [] {+} -r1(A,B)| -r1(B,C)|r1(A,C).
% 120.53/120.78 4 [] {+} -r1($c6,A)|p2(A)| -r1($c6,B)| -r1(B,C)| -r1(C,D)|r1(D,$f2(B,C,D))| -r1(C,E)|p1(E)| -r1($c6,F)|p1(F).
% 120.53/120.78 5 [] {+} -r1($c6,A)|p2(A)| -r1($c6,B)| -r1(B,C)| -r1(C,D)| -p1($f2(B,C,D))| -r1(C,E)|p1(E)| -r1($c6,F)|p1(F).
% 120.53/120.78 11 [] {+} -p2($c1).
% 120.53/120.78 12 [] {+} -r1($c2,A)|p1(A).
% 120.53/120.78 13 [] {+} -p1($c3).
% 120.53/120.78 14 [] {+} -p1($c5).
% 120.53/120.78 57 [factor,5.8.10] {+} -r1($c6,A)|p2(A)| -r1($c6,B)| -r1(B,C)| -r1(C,D)| -p1($f2(B,C,D))| -r1(C,E)|p1(E)| -r1($c6,E).
% 120.53/120.78 510 [] {+} r1(A,A).
% 120.53/120.78 511 [] {+} r1($c6,$c1).
% 120.53/120.78 512 [] {+} r1($c6,$c4).
% 120.53/120.78 513 [] {+} r1($c4,$c2).
% 120.53/120.78 514 [] {+} r1($c4,$c3).
% 120.53/120.78 515 [] {+} r1($c6,$c5).
% 120.53/120.78 740 [hyper,514,1,512] {+} r1($c6,$c3).
% 120.53/120.78 1055 [hyper,515,4,511,512,510,513,514,unit_del,11,13,14] {+} r1($c2,$f2($c4,$c4,$c2)).
% 120.53/120.78 4915 [hyper,1055,12] {+} p1($f2($c4,$c4,$c2)).
% 120.53/120.78 54719 [hyper,4915,57,511,512,510,513,514,740,unit_del,11,13] {-} $F.
% 120.53/120.78
% 120.53/120.78 % SZS output end Refutation
% 120.53/120.78 ------------ end of proof -------------
% 120.53/120.78
% 120.53/120.78
% 120.53/120.78 Search stopped by max_proofs option.
% 120.53/120.78
% 120.53/120.78
% 120.53/120.78 Search stopped by max_proofs option.
% 120.53/120.78
% 120.53/120.78 ============ end of search ============
% 120.53/120.78
% 120.53/120.78 ----------- soft-scott stats ----------
% 120.53/120.78
% 120.53/120.78 true clauses given 19 (33.3%)
% 120.53/120.78 false clauses given 38
% 120.53/120.78
% 120.53/120.78 FALSE TRUE
% 120.53/120.78 5 0 5
% 120.53/120.78 6 0 22
% 120.53/120.78 7 0 3
% 120.53/120.78 8 0 18
% 120.53/120.78 9 0 36
% 120.53/120.78 10 23 89
% 120.53/120.78 11 10 49
% 120.53/120.78 12 26 173
% 120.53/120.78 13 0 12
% 120.53/120.78 14 10 81
% 120.53/120.78 15 8 31
% 120.53/120.78 16 13 88
% 120.53/120.78 17 0 3
% 120.53/120.78 18 9 85
% 120.53/120.78 19 0 9
% 120.53/120.78 20 0 18
% 120.53/120.78 21 0 11
% 120.53/120.78 22 1 29
% 120.53/120.78 23 0 11
% 120.53/120.78 24 0 4
% 120.53/120.78 25 0 6
% 120.53/120.78 28 0 4
% 120.53/120.78 tot: 100 787 (88.7% true)
% 120.53/120.78
% 120.53/120.78
% 120.53/120.78 Model 27 [ 1 1 98 ] (0.01 seconds, 250000 Inserts)
% 120.53/120.78
% 120.53/120.78 That finishes the proof of the theorem.
% 120.53/120.78
% 120.53/120.78 Process 32707 finished Tue Jul 5 01:11:53 2022
%------------------------------------------------------------------------------