TSTP Solution File: SET081-7 by SOS---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : SET081-7 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : sos-script %s
% Computer : n005.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 : Tue Jul 19 05:15:29 EDT 2022
% Result : Unsatisfiable 2.92s 3.15s
% Output : Refutation 2.92s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SET081-7 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.11/0.13 % Command : sos-script %s
% 0.12/0.33 % Computer : n005.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
% 0.12/0.34 % DateTime : Sat Jul 9 19:13:37 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.36 ----- Otter 3.2, August 2001 -----
% 0.12/0.36 The process was started by sandbox on n005.cluster.edu,
% 0.12/0.36 Sat Jul 9 19:13:37 2022
% 0.12/0.36 The command was "./sos". The process ID is 28458.
% 0.12/0.36
% 0.12/0.36 set(prolog_style_variables).
% 0.12/0.36 set(auto).
% 0.12/0.36 dependent: set(auto1).
% 0.12/0.36 dependent: set(process_input).
% 0.12/0.36 dependent: clear(print_kept).
% 0.12/0.36 dependent: clear(print_new_demod).
% 0.12/0.36 dependent: clear(print_back_demod).
% 0.12/0.36 dependent: clear(print_back_sub).
% 0.12/0.36 dependent: set(control_memory).
% 0.12/0.36 dependent: assign(max_mem, 12000).
% 0.12/0.36 dependent: assign(pick_given_ratio, 4).
% 0.12/0.36 dependent: assign(stats_level, 1).
% 0.12/0.36 dependent: assign(pick_semantic_ratio, 3).
% 0.12/0.36 dependent: assign(sos_limit, 5000).
% 0.12/0.36 dependent: assign(max_weight, 60).
% 0.12/0.36 clear(print_given).
% 0.12/0.36
% 0.12/0.36 list(usable).
% 0.12/0.36
% 0.12/0.36 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=5.
% 0.12/0.36
% 0.12/0.36 This ia a non-Horn set with equality. The strategy will be
% 0.12/0.36 Knuth-Bendix, ordered hyper_res, ur_res, factoring, and
% 0.12/0.36 unit deletion, with positive clauses in sos and nonpositive
% 0.12/0.36 clauses in usable.
% 0.12/0.36
% 0.12/0.36 dependent: set(knuth_bendix).
% 0.12/0.36 dependent: set(para_from).
% 0.12/0.36 dependent: set(para_into).
% 0.12/0.36 dependent: clear(para_from_right).
% 0.12/0.36 dependent: clear(para_into_right).
% 0.12/0.36 dependent: set(para_from_vars).
% 0.12/0.36 dependent: set(eq_units_both_ways).
% 0.12/0.36 dependent: set(dynamic_demod_all).
% 0.12/0.36 dependent: set(dynamic_demod).
% 0.12/0.36 dependent: set(order_eq).
% 0.12/0.36 dependent: set(back_demod).
% 0.12/0.36 dependent: set(lrpo).
% 0.12/0.36 dependent: set(hyper_res).
% 0.12/0.36 dependent: set(unit_deletion).
% 0.12/0.36 dependent: set(factor).
% 0.12/0.36
% 0.12/0.36 ------------> process usable:
% 0.12/0.36
% 0.12/0.36 ------------> process sos:
% 0.12/0.36 Following clause subsumed by 92 during input processing: 0 [demod,95] {-} member(unordered_pair(A,A),universal_class).
% 0.12/0.36 Following clause subsumed by 161 during input processing: 0 [copy,161,flip.1] {-} unordered_pair(A,B)=unordered_pair(B,A).
% 0.12/0.36 Following clause subsumed by 177 during input processing: 0 [copy,177,flip.1] {-} A=A.
% 0.12/0.36 177 back subsumes 88.
% 0.12/0.36 177 back subsumes 80.
% 0.12/0.36
% 0.12/0.36 ======= end of input processing =======
% 0.90/1.15
% 0.90/1.15 Model 1 (0.00 seconds, 0 Inserts)
% 0.90/1.15
% 0.90/1.15 Stopped by limit on number of solutions
% 0.90/1.15
% 0.90/1.15
% 0.90/1.15 -------------- Softie stats --------------
% 0.90/1.15
% 0.90/1.15 UPDATE_STOP: 300
% 0.90/1.15 SFINDER_TIME_LIMIT: 2
% 0.90/1.15 SHORT_CLAUSE_CUTOFF: 4
% 0.90/1.15 number of clauses in intial UL: 67
% 0.90/1.15 number of clauses initially in problem: 152
% 0.90/1.15 percentage of clauses intially in UL: 44
% 0.90/1.15 percentage of distinct symbols occuring in initial UL: 64
% 0.90/1.15 percent of all initial clauses that are short: 100
% 0.90/1.15 absolute distinct symbol count: 50
% 0.90/1.15 distinct predicate count: 10
% 0.90/1.15 distinct function count: 30
% 0.90/1.15 distinct constant count: 10
% 0.90/1.15
% 0.90/1.15 ---------- no more Softie stats ----------
% 0.90/1.15
% 0.90/1.15
% 0.90/1.15
% 0.90/1.15 Stopped by limit on insertions
% 0.90/1.15
% 0.90/1.15 =========== start of search ===========
% 2.92/3.15
% 2.92/3.15 -------- PROOF --------
% 2.92/3.15 % SZS status Unsatisfiable
% 2.92/3.15 % SZS output start Refutation
% 2.92/3.15
% 2.92/3.15 Stopped by limit on insertions
% 2.92/3.15
% 2.92/3.15 Stopped by limit on insertions
% 2.92/3.15
% 2.92/3.15 Stopped by limit on insertions
% 2.92/3.15
% 2.92/3.15 Model 2 [ 1 2 9308 ] (0.00 seconds, 250000 Inserts)
% 2.92/3.15
% 2.92/3.15 Stopped by limit on insertions
% 2.92/3.15
% 2.92/3.15 Stopped by limit on insertions
% 2.92/3.15
% 2.92/3.15 Stopped by limit on insertions
% 2.92/3.15
% 2.92/3.15 ----> UNIT CONFLICT at 2.77 sec ----> 303 [binary,301.1,79.1] {-} $F.
% 2.92/3.15
% 2.92/3.15 Length of proof is 4. Level of proof is 3.
% 2.92/3.15
% 2.92/3.15 ---------------- PROOF ----------------
% 2.92/3.15 % SZS status Unsatisfiable
% 2.92/3.15 % SZS output start Refutation
% 2.92/3.15
% 2.92/3.15 6 [] {+} -member(A,unordered_pair(B,C))|A=B|A=C.
% 2.92/3.15 79 [] {+} y!=x.
% 2.92/3.15 81 [factor,6.2.3] {+} -member(A,unordered_pair(B,B))|A=B.
% 2.92/3.15 93 [] {-} unordered_pair(A,A)=singleton(A).
% 2.92/3.15 95,94 [copy,93,flip.1] {-} singleton(A)=unordered_pair(A,A).
% 2.92/3.15 175 [] {-} member(y,singleton(x)).
% 2.92/3.15 176 [copy,175,demod,95] {-} member(y,unordered_pair(x,x)).
% 2.92/3.15 301 [hyper,176,81] {-} y=x.
% 2.92/3.15 303 [binary,301.1,79.1] {-} $F.
% 2.92/3.15
% 2.92/3.15 % SZS output end Refutation
% 2.92/3.15 ------------ end of proof -------------
% 2.92/3.15
% 2.92/3.15
% 2.92/3.15 Search stopped by max_proofs option.
% 2.92/3.15
% 2.92/3.15
% 2.92/3.15 Search stopped by max_proofs option.
% 2.92/3.15
% 2.92/3.15 ============ end of search ============
% 2.92/3.15
% 2.92/3.15 ----------- soft-scott stats ----------
% 2.92/3.15
% 2.92/3.15 true clauses given 0 (0.0%)
% 2.92/3.15 false clauses given 7
% 2.92/3.15
% 2.92/3.15 FALSE TRUE
% 2.92/3.15 3 0 6
% 2.92/3.15 5 4 7
% 2.92/3.15 6 2 1
% 2.92/3.15 7 8 4
% 2.92/3.15 8 10 12
% 2.92/3.15 9 7 1
% 2.92/3.15 10 9 7
% 2.92/3.15 11 6 7
% 2.92/3.15 12 2 8
% 2.92/3.15 13 6 10
% 2.92/3.15 14 4 1
% 2.92/3.15 15 0 5
% 2.92/3.15 16 2 5
% 2.92/3.15 17 0 6
% 2.92/3.15 18 0 2
% 2.92/3.15 19 0 4
% 2.92/3.15 20 0 2
% 2.92/3.15 21 0 1
% 2.92/3.15 22 1 1
% 2.92/3.15 23 1 0
% 2.92/3.15 24 1 3
% 2.92/3.15 tot: 63 93 (59.6% true)
% 2.92/3.15
% 2.92/3.15
% 2.92/3.15 Model 2 [ 1 -102 9308 ] (0.00 seconds, 250000 Inserts)
% 2.92/3.15
% 2.92/3.15 That finishes the proof of the theorem.
% 2.92/3.15
% 2.92/3.15 Process 28458 finished Sat Jul 9 19:13:40 2022
%------------------------------------------------------------------------------