%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : NUN087+1 : TPTP v8.1.0. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : sos-script %s
% Computer : n032.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 16:38:34 EDT 2022
% Result : Theorem 4.94s 5.11s
% Output : Refutation 4.94s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.10 % Problem : NUN087+1 : TPTP v8.1.0. Released v7.3.0.
% 0.09/0.10 % Command : sos-script %s
% 0.09/0.30 % Computer : n032.cluster.edu
% 0.09/0.30 % Model : x86_64 x86_64
% 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30 % Memory : 8042.1875MB
% 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30 % CPULimit : 300
% 0.09/0.30 % WCLimit : 600
% 0.09/0.30 % DateTime : Thu Jun 2 10:24:45 EDT 2022
% 0.09/0.30 % CPUTime :
% 0.15/0.32 ----- Otter 3.2, August 2001 -----
% 0.15/0.32 The process was started by sandbox on n032.cluster.edu,
% 0.15/0.32 Thu Jun 2 10:24:45 2022
% 0.15/0.32 The command was "./sos". The process ID is 32157.
% 0.15/0.32
% 0.15/0.32 set(prolog_style_variables).
% 0.15/0.32 set(auto).
% 0.15/0.32 dependent: set(auto1).
% 0.15/0.32 dependent: set(process_input).
% 0.15/0.32 dependent: clear(print_kept).
% 0.15/0.32 dependent: clear(print_new_demod).
% 0.15/0.32 dependent: clear(print_back_demod).
% 0.15/0.32 dependent: clear(print_back_sub).
% 0.15/0.32 dependent: set(control_memory).
% 0.15/0.32 dependent: assign(max_mem, 12000).
% 0.15/0.32 dependent: assign(pick_given_ratio, 4).
% 0.15/0.32 dependent: assign(stats_level, 1).
% 0.15/0.32 dependent: assign(pick_semantic_ratio, 3).
% 0.15/0.32 dependent: assign(sos_limit, 5000).
% 0.15/0.32 dependent: assign(max_weight, 60).
% 0.15/0.32 clear(print_given).
% 0.15/0.32
% 0.15/0.32 formula_list(usable).
% 0.15/0.32
% 0.15/0.32 SCAN INPUT: prop=0, horn=0, equality=0, symmetry=0, max_lits=5.
% 0.15/0.32
% 0.15/0.32 This is a non-Horn set without equality. The strategy
% 0.15/0.32 will be ordered hyper_res, ur_res, unit deletion, and
% 0.15/0.32 factoring, with satellites in sos and nuclei in usable.
% 0.15/0.32
% 0.15/0.32 dependent: set(hyper_res).
% 0.15/0.32 dependent: set(factor).
% 0.15/0.32 dependent: set(unit_deletion).
% 0.15/0.32
% 0.15/0.32 ------------> process usable:
% 0.15/0.32
% 0.15/0.32 ------------> process sos:
% 0.15/0.32 42 back subsumes 36.
% 0.15/0.32
% 0.15/0.32 ======= end of input processing =======
% 0.15/0.36
% 0.15/0.36 Model 1 (0.00 seconds, 0 Inserts)
% 0.15/0.36
% 0.15/0.36 Stopped by limit on number of solutions
% 0.15/0.36
% 0.15/0.36
% 0.15/0.36 -------------- Softie stats --------------
% 0.15/0.36
% 0.15/0.36 UPDATE_STOP: 300
% 0.15/0.36 SFINDER_TIME_LIMIT: 2
% 0.15/0.36 SHORT_CLAUSE_CUTOFF: 4
% 0.15/0.36 number of clauses in intial UL: 40
% 0.15/0.36 number of clauses initially in problem: 62
% 0.15/0.36 percentage of clauses intially in UL: 64
% 0.15/0.36 percentage of distinct symbols occuring in initial UL: 36
% 0.15/0.36 percent of all initial clauses that are short: 100
% 0.15/0.36 absolute distinct symbol count: 25
% 0.15/0.36 distinct predicate count: 5
% 0.15/0.36 distinct function count: 19
% 0.15/0.36 distinct constant count: 1
% 0.15/0.36
% 0.15/0.36 ---------- no more Softie stats ----------
% 0.15/0.36
% 0.15/0.36
% 0.15/0.36
% 0.15/0.36 =========== start of search ===========
% 4.94/5.11
% 4.94/5.11 -------- PROOF --------
% 4.94/5.11 % SZS status Theorem
% 4.94/5.11 % SZS output start Refutation
% 4.94/5.11
% 4.94/5.11 Stopped by limit on insertions
% 4.94/5.11
% 4.94/5.11 Model 2 [ 1 1 438 ] (0.00 seconds, 250000 Inserts)
% 4.94/5.11
% 4.94/5.11 Stopped by limit on insertions
% 4.94/5.11
% 4.94/5.11 Model 3 [ 1 1 270 ] (0.00 seconds, 250000 Inserts)
% 4.94/5.11
% 4.94/5.11 Stopped by limit on insertions
% 4.94/5.11
% 4.94/5.11 Model 4 [ 1 1 502 ] (0.00 seconds, 250000 Inserts)
% 4.94/5.11
% 4.94/5.11 Model 5 [ 1 0 3577 ] (0.00 seconds, 4020 Inserts)
% 4.94/5.11
% 4.94/5.11 Stopped by limit on insertions
% 4.94/5.11
% 4.94/5.11 Stopped by limit on insertions
% 4.94/5.11
% 4.94/5.11 Stopped by limit on insertions
% 4.94/5.11
% 4.94/5.11 Model 6 [ 4 1 2433 ] (0.00 seconds, 250000 Inserts)
% 4.94/5.11
% 4.94/5.11 Stopped by limit on insertions
% 4.94/5.11
% 4.94/5.11 Stopped by limit on insertions
% 4.94/5.11
% 4.94/5.11 Model 7 [ 17 1 3356 ] (0.00 seconds, 250000 Inserts)
% 4.94/5.11
% 4.94/5.11 Stopped by limit on insertions
% 4.94/5.11
% 4.94/5.11 Model 8 [ 17 1 3722 ] (0.00 seconds, 250000 Inserts)
% 4.94/5.11
% 4.94/5.11 Stopped by limit on insertions
% 4.94/5.11
% 4.94/5.11 Model 9 [ 35 1 748 ] (0.00 seconds, 250000 Inserts)
% 4.94/5.11
% 4.94/5.11 Stopped by limit on insertions
% 4.94/5.11
% 4.94/5.11 Model 10 [ 48 0 248 ] (0.00 seconds, 250000 Inserts)
% 4.94/5.11
% 4.94/5.11 Stopped by limit on insertions
% 4.94/5.11
% 4.94/5.11 Stopped by limit on insertions
% 4.94/5.11
% 4.94/5.11 Model 11 [ 42 1 1430 ] (0.00 seconds, 250000 Inserts)
% 4.94/5.11
% 4.94/5.11 Stopped by limit on insertions
% 4.94/5.11
% 4.94/5.11 Model 12 [ 35 1 404 ] (0.00 seconds, 250000 Inserts)
% 4.94/5.11
% 4.94/5.11 Stopped by limit on insertions
% 4.94/5.11
% 4.94/5.11 Model 13 [ 41 1 1522 ] (0.00 seconds, 250000 Inserts)
% 4.94/5.11
% 4.94/5.11 Stopped by limit on insertions
% 4.94/5.11
% 4.94/5.11 Model 14 [ 46 1 1778 ] (0.00 seconds, 250000 Inserts)
% 4.94/5.11
% 4.94/5.11 Stopped by limit on insertions
% 4.94/5.11
% 4.94/5.11 Model 15 [ 51 1 274 ] (0.00 seconds, 250000 Inserts)
% 4.94/5.11
% 4.94/5.11 Stopped by limit on insertions
% 4.94/5.11
% 4.94/5.11 Model 16 [ 43 1 1035 ] (0.00 seconds, 250000 Inserts)
% 4.94/5.11
% 4.94/5.11 Stopped by limit on insertions
% 4.94/5.11
% 4.94/5.11 Model 17 [ 88 1 1784 ] (0.00 seconds, 250000 Inserts)
% 4.94/5.11
% 4.94/5.11 Stopped by limit on insertions
% 4.94/5.11
% 4.94/5.11 Model 18 [ 89 1 1769 ] (0.00 seconds, 250000 Inserts)
% 4.94/5.11
% 4.94/5.11 Stopped by limit on insertions
% 4.94/5.11
% 4.94/5.11 Model 19 [ 80 1 447 ] (0.00 seconds, 250000 Inserts)
% 4.94/5.11
% 4.94/5.11 Stopped by limit on insertions
% 4.94/5.11
% 4.94/5.11 Model 20 [ 47 1 1608 ] (0.00 seconds, 250000 Inserts)
% 4.94/5.11
% 4.94/5.11 Stopped by limit on insertions
% 4.94/5.11
% 4.94/5.11 Model 21 [ 72 1 906 ] (0.00 seconds, 250000 Inserts)
% 4.94/5.11
% 4.94/5.11 Stopped by limit on insertions
% 4.94/5.11
% 4.94/5.11 Model 22 [ 78 1 381 ] (0.00 seconds, 250000 Inserts)
% 4.94/5.11
% 4.94/5.11 Stopped by limit on insertions
% 4.94/5.11
% 4.94/5.11 Model 23 [ 85 1 5022 ] (0.00 seconds, 250000 Inserts)
% 4.94/5.11
% 4.94/5.11 Stopped by limit on insertions
% 4.94/5.11
% 4.94/5.11 Model 24 [ 81 0 503 ] (0.00 seconds, 250000 Inserts)
% 4.94/5.11
% 4.94/5.11 Stopped by limit on insertions
% 4.94/5.11
% 4.94/5.11 Stopped by limit on insertions
% 4.94/5.11
% 4.94/5.11 Stopped by limit on insertions
% 4.94/5.11
% 4.94/5.11 Model 25 [ 82 1 348 ] (0.00 seconds, 250000 Inserts)
% 4.94/5.11
% 4.94/5.11 Stopped by limit on insertions
% 4.94/5.11
% 4.94/5.11 Model 26 [ 90 1 493 ] (0.00 seconds, 250000 Inserts)
% 4.94/5.11
% 4.94/5.11 -----> EMPTY CLAUSE at 4.75 sec ----> 4391 [hyper,4239,37,67,42] {-} $F.
% 4.94/5.11
% 4.94/5.11 Length of proof is 7. Level of proof is 3.
% 4.94/5.11
% 4.94/5.11 ---------------- PROOF ----------------
% 4.94/5.11 % SZS status Theorem
% 4.94/5.11 % SZS output start Refutation
% 4.94/5.11
% 4.94/5.11 1 [] {+} id(A,$c1)| -r1(A).
% 4.94/5.11 2 [] {+} r1(A)| -id(A,$c1).
% 4.94/5.11 10 [] {+} -id(A,B)|id(A,C)| -id(B,C).
% 4.94/5.11 17 [] {+} -id(A,B)| -id(C,D)| -id(E,F)| -r4(A,C,E)|r4(B,D,F).
% 4.94/5.11 21 [] {+} -r1(A)| -r4(A,A,B)| -id(B,C)| -r1(C).
% 4.94/5.11 37 [factor,21.1.4] {+} -r1(A)| -r4(A,A,B)| -id(B,A).
% 4.94/5.11 42 [] {-} id(A,A).
% 4.94/5.11 53 [] {-} id($f13(A),A).
% 4.94/5.11 56 [] {+} r1($f14(A)).
% 4.94/5.11 57 [] {+} r4(A,$f14(A),$f16(A)).
% 4.94/5.11 58 [] {+} id($f16(A),$f15(A)).
% 4.94/5.11 59 [] {+} r1($f15(A)).
% 4.94/5.11 67 [hyper,42,2] {+} r1($c1).
% 4.94/5.11 68 [hyper,56,1] {+} id($f14(A),$c1).
% 4.94/5.11 70 [hyper,59,1] {+} id($f15(A),$c1).
% 4.94/5.11 76 [hyper,53,10,53] {-} id($f13($f13(A)),A).
% 4.94/5.11 158 [hyper,58,10,70] {+} id($f16(A),$c1).
% 4.94/5.11 4239 [hyper,57,17,76,68,158] {-} r4(A,$c1,$c1).
% 4.94/5.11 4391 [hyper,4239,37,67,42] {-} $F.
% 4.94/5.11
% 4.94/5.11 % SZS output end Refutation
% 4.94/5.11 ------------ end of proof -------------
% 4.94/5.11
% 4.94/5.11
% 4.94/5.11 Search stopped by max_proofs option.
% 4.94/5.11
% 4.94/5.11
% 4.94/5.11 Search stopped by max_proofs option.
% 4.94/5.11
% 4.94/5.11 ============ end of search ============
% 4.94/5.11
% 4.94/5.11 ----------- soft-scott stats ----------
% 4.94/5.11
% 4.94/5.11 true clauses given 8 (16.7%)
% 4.94/5.11 false clauses given 40
% 4.94/5.11
% 4.94/5.11 FALSE TRUE
% 4.94/5.11 5 13 45
% 4.94/5.11 6 106 95
% 4.94/5.11 7 174 195
% 4.94/5.11 8 340 207
% 4.94/5.11 9 461 148
% 4.94/5.11 10 495 135
% 4.94/5.11 11 504 76
% 4.94/5.11 12 375 32
% 4.94/5.11 13 281 21
% 4.94/5.11 14 146 0
% 4.94/5.11 15 72 0
% 4.94/5.11 16 69 0
% 4.94/5.11 17 24 0
% 4.94/5.11 18 12 0
% 4.94/5.11 tot: 3072 954 (23.7% true)
% 4.94/5.11
% 4.94/5.11
% 4.94/5.11 Model 26 [ 90 -17 493 ] (0.00 seconds, 250000 Inserts)
% 4.94/5.11
% 4.94/5.11 That finishes the proof of the theorem.
% 4.94/5.11
% 4.94/5.11 Process 32157 finished Thu Jun 2 10:24:50 2022
%------------------------------------------------------------------------------