%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : SYN138-1 : TPTP v8.1.0. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : sos-script %s
% Computer : n023.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 12:10:25 EDT 2022
% Result : Unsatisfiable 0.68s 0.90s
% Output : Refutation 0.68s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYN138-1 : TPTP v8.1.0. Released v1.1.0.
% 0.03/0.13 % Command : sos-script %s
% 0.13/0.34 % Computer : n023.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 : Tue Jul 12 05:15:54 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 sandbox on n023.cluster.edu,
% 0.19/0.38 Tue Jul 12 05:15:54 2022
% 0.19/0.38 The command was "./sos". The process ID is 1763.
% 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
% 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 =======
% 0.68/0.89
% 0.68/0.89 Stopped by limit on insertions
% 0.68/0.89
% 0.68/0.89
% 0.68/0.89 Failed to model usable list: disabling FINDER
% 0.68/0.89
% 0.68/0.89
% 0.68/0.89
% 0.68/0.89 -------------- Softie stats --------------
% 0.68/0.89
% 0.68/0.89 UPDATE_STOP: 300
% 0.68/0.89 SFINDER_TIME_LIMIT: 2
% 0.68/0.89 SHORT_CLAUSE_CUTOFF: 4
% 0.68/0.89 number of clauses in intial UL: 294
% 0.68/0.89 number of clauses initially in problem: 326
% 0.68/0.89 percentage of clauses intially in UL: 90
% 0.68/0.89 percentage of distinct symbols occuring in initial UL: 100
% 0.68/0.89 percent of all initial clauses that are short: 100
% 0.68/0.89 absolute distinct symbol count: 53
% 0.68/0.89 distinct predicate count: 48
% 0.68/0.89 distinct function count: 0
% 0.68/0.89 distinct constant count: 5
% 0.68/0.89
% 0.68/0.89 ---------- no more Softie stats ----------
% 0.68/0.89
% 0.68/0.89
% 0.68/0.89
% 0.68/0.89 =========== start of search ===========
% 0.68/0.90
% 0.68/0.90 -------- PROOF --------
% 0.68/0.90 % SZS status Unsatisfiable
% 0.68/0.90 % SZS output start Refutation
% 0.68/0.90
% 0.68/0.90 ----> UNIT CONFLICT at 0.50 sec ----> 552 [binary,551.1,307.1] {-} $F.
% 0.68/0.90
% 0.68/0.90 Length of proof is 9. Level of proof is 4.
% 0.68/0.90
% 0.68/0.90 ---------------- PROOF ----------------
% 0.68/0.90 % SZS status Unsatisfiable
% 0.68/0.90 % SZS output start Refutation
% 0.68/0.90
% 0.68/0.90 1 [] {+} k1(A)| -n0(B,A).
% 0.68/0.90 2 [] {+} l1(A,A)| -n0(B,A).
% 0.68/0.90 20 [] {+} m1(A,B,A)| -l0(A)| -k0(B).
% 0.68/0.90 99 [] {+} q1(A,A,A)| -m0(B,C,A).
% 0.68/0.90 108 [] {+} r1(A)| -q0(A,B)| -s0(d)| -q1(d,B,d).
% 0.68/0.90 111 [] {+} k2(A,B)| -m1(C,B,A)| -k1(D)| -k2(D,B).
% 0.68/0.90 114 [] {+} k2(e,e)| -l1(e,e).
% 0.68/0.90 170 [] {+} r2(A)| -r1(A)| -l0(A).
% 0.68/0.90 211 [] {+} m3(A,B,A)| -r2(A)| -k2(c,B).
% 0.68/0.90 307 [] {+} -m3(c,e,c).
% 0.68/0.90 308 [] {-} s0(d).
% 0.68/0.90 310 [] {-} n0(d,e).
% 0.68/0.90 324 [] {-} q0(A,d).
% 0.68/0.90 326 [] {-} m0(A,d,B).
% 0.68/0.90 330 [] {-} l0(c).
% 0.68/0.90 333 [] {-} k0(e).
% 0.68/0.90 360 [hyper,310,2] {-} l1(e,e).
% 0.68/0.90 361 [hyper,310,1] {-} k1(e).
% 0.68/0.90 366 [hyper,333,20,330] {-} m1(c,e,c).
% 0.68/0.90 408 [hyper,326,99] {-} q1(A,A,A).
% 0.68/0.90 451 [hyper,360,114] {-} k2(e,e).
% 0.68/0.90 492 [hyper,366,111,361,451] {-} k2(c,e).
% 0.68/0.90 547 [hyper,408,108,324,308] {-} r1(A).
% 0.68/0.90 548 [hyper,547,170,330] {-} r2(c).
% 0.68/0.90 551 [hyper,548,211,492] {-} m3(c,e,c).
% 0.68/0.90 552 [binary,551.1,307.1] {-} $F.
% 0.68/0.90
% 0.68/0.90 % SZS output end Refutation
% 0.68/0.90 ------------ end of proof -------------
% 0.68/0.90
% 0.68/0.90
% 0.68/0.90 Search stopped by max_proofs option.
% 0.68/0.90
% 0.68/0.90
% 0.68/0.90 Search stopped by max_proofs option.
% 0.68/0.90
% 0.68/0.90 ============ end of search ============
% 0.68/0.90
% 0.68/0.90 That finishes the proof of the theorem.
% 0.68/0.90
% 0.68/0.90 Process 1763 finished Tue Jul 12 05:15:55 2022
%------------------------------------------------------------------------------