%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : SYN108-1 : TPTP v8.1.0. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : sos-script %s
% Computer : n012.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 : Thu Jul 21 12:10:12 EDT 2022
% Result : Unsatisfiable 10.34s 10.52s
% Output : Refutation 10.34s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYN108-1 : TPTP v8.1.0. Released v1.1.0.
% 0.03/0.13 % Command : sos-script %s
% 0.13/0.34 % Computer : n012.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Mon Jul 11 23:46:27 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.38 ----- Otter 3.2, August 2001 -----
% 0.19/0.38 The process was started by sandbox2 on n012.cluster.edu,
% 0.19/0.38 Mon Jul 11 23:46:28 2022
% 0.19/0.38 The command was "./sos". The process ID is 25932.
% 0.19/0.38
% 0.19/0.38 set(prolog_style_variables).
% 0.19/0.38 set(auto).
% 0.19/0.38 dependent: set(auto1).
% 0.19/0.38 dependent: set(process_input).
% 0.19/0.38 dependent: clear(print_kept).
% 0.19/0.38 dependent: clear(print_new_demod).
% 0.19/0.38 dependent: clear(print_back_demod).
% 0.19/0.38 dependent: clear(print_back_sub).
% 0.19/0.38 dependent: set(control_memory).
% 0.19/0.38 dependent: assign(max_mem, 12000).
% 0.19/0.38 dependent: assign(pick_given_ratio, 4).
% 0.19/0.38 dependent: assign(stats_level, 1).
% 0.19/0.38 dependent: assign(pick_semantic_ratio, 3).
% 0.19/0.38 dependent: assign(sos_limit, 5000).
% 0.19/0.38 dependent: assign(max_weight, 60).
% 0.19/0.38 clear(print_given).
% 0.19/0.38
% 0.19/0.38 list(usable).
% 0.19/0.38
% 0.19/0.38 SCAN INPUT: prop=0, horn=1, equality=0, symmetry=0, max_lits=5.
% 0.19/0.38
% 0.19/0.38 This is a Horn set without equality. The strategy will
% 0.19/0.38 be hyperresolution, with satellites in sos and nuclei
% 0.19/0.38 in usable.
% 0.19/0.38
% 0.19/0.38 dependent: set(hyper_res).
% 0.19/0.38 dependent: clear(order_hyper).
% 0.19/0.38
% 0.19/0.38 ------------> process usable:
% 0.19/0.38 Following clause subsumed by 13 during input processing: 0 [] {-} m1(A,A,A)| -q0(B,C)| -q0(B,A).
% 0.19/0.38 Following clause subsumed by 14 during input processing: 0 [] {-} m1(A,A,A)| -m0(B,C,A).
% 0.19/0.38 Following clause subsumed by 14 during input processing: 0 [] {-} m1(A,A,A)| -l0(A)| -k0(A)| -m0(A,A,A).
% 0.19/0.38 Following clause subsumed by 12 during input processing: 0 [] {-} m1(e,e,e)| -r0(e).
% 0.19/0.38 Following clause subsumed by 63 during input processing: 0 [] {-} p1(A,A,A)| -n0(e,b)| -k0(b)| -k0(A)| -k1(B).
% 0.19/0.38 Following clause subsumed by 64 during input processing: 0 [] {-} p1(A,A,B)| -p0(B,A)| -r0(A).
% 0.19/0.38 Following clause subsumed by 63 during input processing: 0 [] {-} p1(e,e,e)| -r0(e)| -k0(e).
% 0.19/0.38 Following clause subsumed by 88 during input processing: 0 [] {-} q1(A,A,A)| -s0(A)| -m0(B,B,C).
% 0.19/0.38 Following clause subsumed by 88 during input processing: 0 [] {-} q1(A,A,A)| -s0(A).
% 0.19/0.38 Following clause subsumed by 88 during input processing: 0 [] {-} q1(d,d,d)| -k0(e)| -s0(d).
% 0.19/0.38 Following clause subsumed by 105 during input processing: 0 [] {-} q1(b,b,b)| -r0(b).
% 0.19/0.38 Following clause subsumed by 99 during input processing: 0 [] {-} q1(A,A,A)| -m0(B,C,A).
% 0.19/0.38 Following clause subsumed by 99 during input processing: 0 [] {-} q1(A,A,A)| -m0(A,B,A).
% 0.19/0.38 Following clause subsumed by 105 during input processing: 0 [] {-} q1(A,A,A)| -m0(c,A,A)| -r0(A).
% 0.19/0.38 Following clause subsumed by 142 during input processing: 0 [] {-} p2(A,A,A)| -s1(A)| -k1(A).
% 0.19/0.38 Following clause subsumed by 224 during input processing: 0 [] {-} p3(A,A,A)| -n2(A)| -q2(B,C,A)| -s1(B).
% 0.19/0.38 Following clause subsumed by 224 during input processing: 0 [] {-} p3(A,A,A)| -k1(A)| -n2(A).
% 0.19/0.38 13 back subsumes 9.
% 0.19/0.38 14 back subsumes 6.
% 0.19/0.38 28 back subsumes 21.
% 0.19/0.38 28 back subsumes 17.
% 0.19/0.38 40 back subsumes 39.
% 0.19/0.38 52 back subsumes 51.
% 0.19/0.38 77 back subsumes 68.
% 0.19/0.38 77 back subsumes 65.
% 0.19/0.38 142 back subsumes 134.
% 0.19/0.38 194 back subsumes 180.
% 0.19/0.38 216 back subsumes 213.
% 0.19/0.38 216 back subsumes 212.
% 0.19/0.38 244 back subsumes 239.
% 0.19/0.38 307 back subsumes 247.
% 0.19/0.38 307 back subsumes 201.
% 0.19/0.38
% 0.19/0.38 ------------> process sos:
% 0.19/0.38 Following clause subsumed by 321 during input processing: 0 [] {-} p0(b,c).
% 0.19/0.38 Following clause subsumed by 324 during input processing: 0 [] {-} q0(d,d).
% 0.19/0.38 321 back subsumes 317.
% 0.19/0.38 324 back subsumes 309.
% 0.19/0.38 326 back subsumes 315.
% 0.19/0.38 326 back subsumes 311.
% 0.19/0.38
% 0.19/0.38 ======= end of input processing =======
% 0.19/0.50
% 0.19/0.50 Model 1 (0.00 seconds, 0 Inserts)
% 0.19/0.50
% 0.19/0.50 Stopped by limit on number of solutions
% 0.19/0.50
% 0.19/0.50
% 0.19/0.50 -------------- Softie stats --------------
% 0.19/0.50
% 0.19/0.50 UPDATE_STOP: 300
% 0.19/0.50 SFINDER_TIME_LIMIT: 2
% 0.19/0.50 SHORT_CLAUSE_CUTOFF: 4
% 0.19/0.50 number of clauses in intial UL: 292
% 0.19/0.50 number of clauses initially in problem: 324
% 0.19/0.50 percentage of clauses intially in UL: 90
% 0.19/0.50 percentage of distinct symbols occuring in initial UL: 100
% 0.19/0.50 percent of all initial clauses that are short: 100
% 0.19/0.50 absolute distinct symbol count: 53
% 0.19/0.50 distinct predicate count: 48
% 0.19/0.50 distinct function count: 0
% 0.19/0.50 distinct constant count: 5
% 0.19/0.50
% 0.19/0.50 ---------- no more Softie stats ----------
% 0.19/0.50
% 0.19/0.50
% 0.19/0.50
% 0.19/0.50 Model 2 (0.00 seconds, 0 Inserts)
% 0.19/0.50
% 0.19/0.50 Stopped by limit on number of solutions
% 0.19/0.50
% 0.19/0.50 =========== start of search ===========
% 9.87/10.10
% 9.87/10.10 Stopped by limit on insertions
% 9.87/10.10
% 9.87/10.10 Model 3 [ 1 3 5898 ] (0.00 seconds, 250000 Inserts)
% 9.87/10.10
% 9.87/10.10 Stopped by limit on insertions
% 9.87/10.10
% 9.87/10.10 Model 4 [ 1 2 3611 ] (0.00 seconds, 250000 Inserts)
% 9.87/10.10
% 9.87/10.10 Stopped by limit on insertions
% 9.87/10.10
% 9.87/10.10 Model 5 [ 1 3 11151 ] (0.00 seconds, 250000 Inserts)
% 9.87/10.10
% 9.87/10.10 Stopped by limit on insertions
% 9.87/10.10
% 9.87/10.10 Model 6 [ 2 2 6305 ] (0.00 seconds, 250000 Inserts)
% 9.87/10.10
% 9.87/10.10 Stopped by limit on insertions
% 9.87/10.10
% 9.87/10.10 Stopped by limit on insertions
% 9.87/10.10
% 9.87/10.10 Model 7 [ 3 2 7940 ] (0.00 seconds, 250000 Inserts)
% 9.87/10.10
% 9.87/10.10 Stopped by limit on insertions
% 9.87/10.10
% 9.87/10.10 Model 8 [ 3 2 11651 ] (0.00 seconds, 250000 Inserts)
% 9.87/10.10
% 9.87/10.10 Stopped by limit on insertions
% 9.87/10.10
% 9.87/10.10 Model 9 [ 6 1 4366 ] (0.00 seconds, 250000 Inserts)
% 9.87/10.10
% 9.87/10.10 Stopped by limit on insertions
% 9.87/10.10
% 9.87/10.10 Model 10 [ 4 2 10598 ] (0.00 seconds, 250000 Inserts)
% 9.87/10.10
% 9.87/10.10 Stopped by limit on insertions
% 9.87/10.10
% 9.87/10.10 Model 11 [ 6 2 7960 ] (0.00 seconds, 250000 Inserts)
% 9.87/10.10
% 9.87/10.10 Stopped by limit on insertions
% 9.87/10.10
% 9.87/10.10 Model 12 [ 7 2 2828 ] (0.00 seconds, 250000 Inserts)
% 9.87/10.10
% 9.87/10.10 Stopped by limit on insertions
% 9.87/10.10
% 9.87/10.10 Model 13 [ 8 2 7558 ] (0.00 seconds, 250000 Inserts)
% 9.87/10.10
% 9.87/10.10 Stopped by limit on insertions
% 9.87/10.10
% 9.87/10.10 Model 14 [ 10 3 10262 ] (0.00 seconds, 250000 Inserts)
% 9.87/10.10
% 9.87/10.10 Stopped by limit on insertions
% 9.87/10.10
% 9.87/10.10 Model 15 [ 8 2 9684 ] (0.00 seconds, 250000 Inserts)
% 9.87/10.10
% 9.87/10.10 Stopped by limit on insertions
% 9.87/10.10
% 9.87/10.10 Model 16 [ 10 3 12703 ] (0.00 seconds, 250000 Inserts)
% 9.87/10.10
% 9.87/10.10 Stopped by limit on insertions
% 9.87/10.10
% 9.87/10.10 Model 17 [ 13 2 4462 ] (0.00 seconds, 250000 Inserts)
% 9.87/10.10
% 9.87/10.10 Stopped by limit on insertions
% 9.87/10.10
% 9.87/10.10 Model 18 [ 20 3 8415 ] (0.00 seconds, 250000 Inserts)
% 9.87/10.10
% 9.87/10.10 Stopped by limit on insertions
% 9.87/10.10
% 9.87/10.10 Model 19 [ 12 3 11301 ] (0.00 seconds, 250000 Inserts)
% 9.87/10.10
% 9.87/10.10 Stopped by limit on insertions
% 9.87/10.10
% 9.87/10.10 Model 20 [ 16 3 10535 ] (0.00 seconds, 250000 Inserts)
% 9.87/10.10
% 9.87/10.10 Stopped by limit on insertions
% 9.87/10.10
% 9.87/10.10 Model 21 [ 14 2 11000 ] (0.00 seconds, 250000 Inserts)
% 9.87/10.10
% 9.87/10.10 Stopped by limit on insertions
% 9.87/10.10
% 9.87/10.10 Model 22 [ 23 2 9258 ] (0.00 seconds, 250000 Inserts)
% 9.87/10.10
% 9.87/10.10 Stopped by limit on insertions
% 9.87/10.10
% 9.87/10.10 Model 23 [ 28 3 9667 ] (0.00 seconds, 250000 Inserts)
% 9.87/10.10
% 9.87/10.10 Stopped by limit on insertions
% 9.87/10.10
% 9.87/10.10 Model 24 [ 27 2 6548 ] (0.00 seconds, 250000 Inserts)
% 9.87/10.10
% 9.87/10.10 Stopped by limit on insertions
% 9.87/10.10
% 9.87/10.10 Model 25 [ 27 2 7275 ] (0.00 seconds, 250000 Inserts)
% 9.87/10.10
% 9.87/10.10 Stopped by limit on insertions
% 9.87/10.10
% 9.87/10.10 Model 26 [ 40 2 4966 ] (0.00 seconds, 250000 Inserts)
% 9.87/10.10
% 9.87/10.10 Stopped by limit on insertions
% 9.87/10.10
% 9.87/10.10 Model 27 [ 27 3 14464 ] (0.00 seconds, 250000 Inserts)
% 9.87/10.10
% 9.87/10.10 Stopped by limit on insertions
% 9.87/10.10
% 9.87/10.10 Model 28 [ 24 2 4866 ] (0.00 seconds, 250000 Inserts)
% 9.87/10.10
% 9.87/10.10 Stopped by limit on insertions
% 9.87/10.10
% 9.87/10.10 Model 29 [ 30 2 7658 ] (0.00 seconds, 250000 Inserts)
% 9.87/10.10
% 9.87/10.10 Stopped by limit on insertions
% 9.87/10.10
% 9.87/10.10 Model 30 [ 30 2 7964 ] (0.00 seconds, 250000 Inserts)
% 9.87/10.10
% 9.87/10.10 Stopped by limit on insertions
% 9.87/10.10
% 9.87/10.10 Model 31 [ 19 3 12606 ] (0.00 seconds, 250000 Inserts)
% 9.87/10.10
% 9.87/10.10 Stopped by limit on insertions
% 9.87/10.10
% 9.87/10.10 Model 32 [ 29 3 14444 ] (0.00 seconds, 250000 Inserts)
% 9.87/10.10
% 9.87/10.10 Stopped by limit on insertions
% 9.87/10.10
% 9.87/10.10 Model 33 [ 37 2 6110 ] (0.00 seconds, 250000 Inserts)
% 9.87/10.10
% 9.87/10.10 Stopped by limit on insertions
% 9.87/10.10
% 9.87/10.10 Model 34 [ 28 2 6342 ] (0.00 seconds, 250000 Inserts)
% 9.87/10.10
% 9.87/10.10 Stopped by limit on insertions
% 9.87/10.10
% 9.87/10.10 Stopped by limit on insertions
% 9.87/10.10
% 9.87/10.10 Model 35 [ 52 2 3647 ] (0.00 seconds, 250000 Inserts)
% 9.87/10.10
% 9.87/10.10 Stopped by limit on insertions
% 9.87/10.10
% 9.87/10.10 Model 36 [ 42 1 2395 ] (0.00 seconds, 250000 Inserts)
% 9.87/10.10
% 9.87/10.10 Stopped by limit on insertions
% 9.87/10.10
% 9.87/10.10 Model 37 [ 44 2 3854 ] (0.00 seconds, 250000 Inserts)
% 9.87/10.10
% 9.87/10.10 Stopped by limit on insertions
% 9.87/10.10
% 9.87/10.10 Model 38 [ 37 2 7625 ] (0.00 seconds, 250000 Inserts)
% 9.87/10.10
% 9.87/10.10 Stopped by limit on insertions
% 9.87/10.10
% 9.87/10.10 Model 39 [ 33 3 15282 ] (0.00 seconds, 250000 Inserts)
% 9.87/10.10
% 9.87/10.10 Stopped by limit on insertions
% 9.87/10.10
% 9.87/10.10 Model 40 [ 32 2 6713 ] (0.00 seconds, 250000 Inserts)
% 9.87/10.10
% 9.87/10.10 Stopped by limit on insertions
% 9.87/10.10
% 9.87/10.10 Model 41 [ 36 3 9033 ] (0.00 seconds, 250000 Inserts)
% 9.87/10.10
% 9.87/10.10 Stopped by limit on insertions
% 9.87/10.10
% 9.87/10.10 Stopped by limit on insertions
% 9.87/10.10
% 9.87/10.10 Model 42 [ 36 3 8773 ] (0.00 seconds, 250000 Inserts)
% 9.87/10.10
% 9.87/10.10 Stopped by limit on insertions
% 9.87/10.10
% 9.87/10.10 Model 43 [ 33 2 8790 ] (0.00 seconds, 250000 Inserts)
% 9.87/10.10
% 9.87/10.10 Stopped by limit on insertions
% 9.87/10.10
% 9.87/10.10 Model 44 [ 45 3 10186 ] (0.00 seconds, 250000 Inserts)
% 9.87/10.10
% 9.87/10.10 Stopped by limit on insertions
% 9.87/10.10
% 9.87/10.10 Model 45 [ 43 2 7135 ] (0.00 seconds, 250000 Inserts)
% 9.87/10.10
% 9.87/10.10 Stopped by limit on insertions
% 9.87/10.10
% 9.87/10.10 Model 46 [ 44 2 4683 ] (0.00 seconds, 250000 Inserts)
% 9.87/10.10
% 9.87/10.10 Stopped by limit on insertions
% 9.87/10.10
% 9.87/10.10 Model 47 [ 29 3 9892 ] (0.00 seconds, 250000 Inserts)
% 9.87/10.10
% 9.87/10.10 Stopped by limit on insertions
% 9.87/10.10
% 9.87/10.10 Model 48 [ 35 3 14674 ] (0.00 seconds, 250000 Inserts)
% 9.87/10.10
% 10.34/10.52 St
% 10.34/10.52 -- HEY sandbox2, WE HAVE A PROOF!! --
% 10.34/10.52 opped by limit on insertions
% 10.34/10.52
% 10.34/10.52 Model 49 [ 41 3 8300 ] (0.00 seconds, 250000 Inserts)
% 10.34/10.52
% 10.34/10.52 Stopped by limit on insertions
% 10.34/10.52
% 10.34/10.52 Model 50 [ 39 1 4805 ] (0.00 seconds, 250000 Inserts)
% 10.34/10.52
% 10.34/10.52 Stopped by limit on insertions
% 10.34/10.52
% 10.34/10.52 Model 51 [ 35 2 6665 ] (0.00 seconds, 250000 Inserts)
% 10.34/10.52
% 10.34/10.52 ----> UNIT CONFLICT at 10.11 sec ----> 527 [binary,526.1,307.1] {-} $F.
% 10.34/10.52
% 10.34/10.52 Length of proof is 5. Level of proof is 3.
% 10.34/10.52
% 10.34/10.52 ---------------- PROOF ----------------
% 10.34/10.52 % SZS status Unsatisfiable
% 10.34/10.52 % SZS output start Refutation
% 10.34/10.52
% 10.34/10.52 1 [] {+} k1(A)| -n0(B,A).
% 10.34/10.52 2 [] {+} l1(A,A)| -n0(B,A).
% 10.34/10.52 20 [] {+} m1(A,B,A)| -l0(A)| -k0(B).
% 10.34/10.52 111 [] {+} k2(A,B)| -m1(C,B,A)| -k1(D)| -k2(D,B).
% 10.34/10.52 114 [] {+} k2(e,e)| -l1(e,e).
% 10.34/10.52 307 [] {+} -k2(a,A).
% 10.34/10.52 310 [] {-} n0(d,e).
% 10.34/10.52 327 [] {+} l0(a).
% 10.34/10.52 333 [] {+} k0(e).
% 10.34/10.52 360 [hyper,310,2] {+} l1(e,e).
% 10.34/10.52 361 [hyper,310,1] {+} k1(e).
% 10.34/10.52 367 [hyper,327,20,333] {+} m1(a,e,a).
% 10.34/10.52 453 [hyper,360,114] {+} k2(e,e).
% 10.34/10.52 526 [hyper,453,111,367,361] {-} k2(a,e).
% 10.34/10.52 527 [binary,526.1,307.1] {-} $F.
% 10.34/10.52
% 10.34/10.52 % SZS output end Refutation
% 10.34/10.52 ------------ end of proof -------------
% 10.34/10.52
% 10.34/10.52
% 10.34/10.52 Search stopped by max_proofs option.
% 10.34/10.52
% 10.34/10.52
% 10.34/10.52 Search stopped by max_proofs option.
% 10.34/10.52
% 10.34/10.52 ============ end of search ============
% 10.34/10.52
% 10.34/10.52 ----------- soft-scott stats ----------
% 10.34/10.52
% 10.34/10.52 true clauses given 19 (24.7%)
% 10.34/10.52 false clauses given 58
% 10.34/10.52
% 10.34/10.52 FALSE TRUE
% 10.34/10.52 3 0 2
% 10.34/10.52 4 19 58
% 10.34/10.52 tot: 19 60 (75.9% true)
% 10.34/10.52
% 10.34/10.52
% 10.34/10.52 Model 51 [ 35 2 6665 ] (0.00 seconds, 250000 Inserts)
% 10.34/10.52
% 10.34/10.52 That finishes the proof of the theorem.
% 10.34/10.52
% 10.34/10.52 Process 25932 finished Mon Jul 11 23:46:38 2022
%------------------------------------------------------------------------------