TSTP Solution File: GRP156-1 by SOS---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : GRP156-1 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : sos-script %s
% Computer : n008.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 : Sat Jul 16 11:41:58 EDT 2022
% Result : Unsatisfiable 0.40s 0.60s
% Output : Refutation 0.40s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : GRP156-1 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.03/0.12 % Command : sos-script %s
% 0.12/0.33 % Computer : n008.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
% 0.12/0.33 % DateTime : Tue Jun 14 13:34:37 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.35 ----- Otter 3.2, August 2001 -----
% 0.18/0.35 The process was started by sandbox on n008.cluster.edu,
% 0.18/0.35 Tue Jun 14 13:34:37 2022
% 0.18/0.35 The command was "./sos". The process ID is 921.
% 0.18/0.35
% 0.18/0.35 set(prolog_style_variables).
% 0.18/0.35 set(auto).
% 0.18/0.35 dependent: set(auto1).
% 0.18/0.35 dependent: set(process_input).
% 0.18/0.35 dependent: clear(print_kept).
% 0.18/0.35 dependent: clear(print_new_demod).
% 0.18/0.35 dependent: clear(print_back_demod).
% 0.18/0.35 dependent: clear(print_back_sub).
% 0.18/0.35 dependent: set(control_memory).
% 0.18/0.35 dependent: assign(max_mem, 12000).
% 0.18/0.35 dependent: assign(pick_given_ratio, 4).
% 0.18/0.35 dependent: assign(stats_level, 1).
% 0.18/0.35 dependent: assign(pick_semantic_ratio, 3).
% 0.18/0.35 dependent: assign(sos_limit, 5000).
% 0.18/0.35 dependent: assign(max_weight, 60).
% 0.18/0.35 clear(print_given).
% 0.18/0.35
% 0.18/0.35 list(usable).
% 0.18/0.35
% 0.18/0.35 SCAN INPUT: prop=0, horn=1, equality=1, symmetry=0, max_lits=1.
% 0.18/0.35
% 0.18/0.35 All clauses are units, and equality is present; the
% 0.18/0.35 strategy will be Knuth-Bendix with positive clauses in sos.
% 0.18/0.35
% 0.18/0.35 dependent: set(knuth_bendix).
% 0.18/0.35 dependent: set(para_from).
% 0.18/0.35 dependent: set(para_into).
% 0.18/0.35 dependent: clear(para_from_right).
% 0.18/0.35 dependent: clear(para_into_right).
% 0.18/0.35 dependent: set(para_from_vars).
% 0.18/0.35 dependent: set(eq_units_both_ways).
% 0.18/0.35 dependent: set(dynamic_demod_all).
% 0.18/0.35 dependent: set(dynamic_demod).
% 0.18/0.35 dependent: set(order_eq).
% 0.18/0.35 dependent: set(back_demod).
% 0.18/0.35 dependent: set(lrpo).
% 0.18/0.35
% 0.18/0.35 ------------> process usable:
% 0.18/0.35
% 0.18/0.35 ------------> process sos:
% 0.18/0.35 Following clause subsumed by 8 during input processing: 0 [copy,8,flip.1] {-} greatest_lower_bound(A,B)=greatest_lower_bound(B,A).
% 0.18/0.35 Following clause subsumed by 9 during input processing: 0 [copy,9,flip.1] {-} least_upper_bound(A,B)=least_upper_bound(B,A).
% 0.18/0.35 Following clause subsumed by 34 during input processing: 0 [copy,34,flip.1] {-} A=A.
% 0.18/0.35
% 0.18/0.35 ======= end of input processing =======
% 0.18/0.38
% 0.18/0.38 Model 1 (0.00 seconds, 0 Inserts)
% 0.18/0.38
% 0.18/0.38 Stopped by limit on number of solutions
% 0.18/0.38
% 0.18/0.38
% 0.18/0.38 -------------- Softie stats --------------
% 0.18/0.38
% 0.18/0.38 UPDATE_STOP: 300
% 0.18/0.38 SFINDER_TIME_LIMIT: 2
% 0.18/0.38 SHORT_CLAUSE_CUTOFF: 4
% 0.18/0.38 number of clauses in intial UL: 1
% 0.18/0.38 number of clauses initially in problem: 32
% 0.18/0.38 percentage of clauses intially in UL: 3
% 0.18/0.38 percentage of distinct symbols occuring in initial UL: 66
% 0.18/0.38 percent of all initial clauses that are short: 100
% 0.18/0.38 absolute distinct symbol count: 9
% 0.18/0.38 distinct predicate count: 1
% 0.18/0.38 distinct function count: 4
% 0.18/0.38 distinct constant count: 4
% 0.18/0.38
% 0.18/0.38 ---------- no more Softie stats ----------
% 0.18/0.38
% 0.18/0.38
% 0.18/0.38
% 0.18/0.38 Model 2 (0.00 seconds, 0 Inserts)
% 0.18/0.38
% 0.18/0.38 Stopped by limit on number of solutions
% 0.18/0.38
% 0.18/0.38 =========== start of search ===========
% 0.40/0.60
% 0.40/0.60 -------- PROOF --------
% 0.40/0.60 % SZS status Unsatisfiable
% 0.40/0.60 % SZS output start Refutation
% 0.40/0.60
% 0.40/0.60 Model 3 (0.00 seconds, 0 Inserts)
% 0.40/0.60
% 0.40/0.60 Stopped by limit on number of solutions
% 0.40/0.60
% 0.40/0.60 Model 4 (0.00 seconds, 0 Inserts)
% 0.40/0.60
% 0.40/0.60 Stopped by limit on number of solutions
% 0.40/0.60
% 0.40/0.60 Model 5 (0.00 seconds, 0 Inserts)
% 0.40/0.60
% 0.40/0.60 Stopped by limit on number of solutions
% 0.40/0.60
% 0.40/0.60 Stopped by limit on insertions
% 0.40/0.60
% 0.40/0.60 Model 6 [ 2 1 115 ] (0.00 seconds, 250000 Inserts)
% 0.40/0.60
% 0.40/0.60 Model 7 (0.00 seconds, 250000 Inserts)
% 0.40/0.60
% 0.40/0.60 Stopped by limit on number of solutions
% 0.40/0.60
% 0.40/0.60 Stopped by limit on insertions
% 0.40/0.60
% 0.40/0.60 Model 8 [ 2 1 152 ] (0.00 seconds, 250000 Inserts)
% 0.40/0.60
% 0.40/0.60 Model 9 (0.00 seconds, 250000 Inserts)
% 0.40/0.60
% 0.40/0.60 Stopped by limit on number of solutions
% 0.40/0.60
% 0.40/0.60 Model 10 (0.00 seconds, 250000 Inserts)
% 0.40/0.60
% 0.40/0.60 Stopped by limit on number of solutions
% 0.40/0.60
% 0.40/0.60 Model 11 (0.00 seconds, 250000 Inserts)
% 0.40/0.60
% 0.40/0.60 Stopped by limit on number of solutions
% 0.40/0.60
% 0.40/0.60 ----> UNIT CONFLICT at 0.23 sec ----> 168 [binary,166.1,35.1] {-} $F.
% 0.40/0.60
% 0.40/0.60 Length of proof is 4. Level of proof is 3.
% 0.40/0.60
% 0.40/0.60 ---------------- PROOF ----------------
% 0.40/0.60 % SZS status Unsatisfiable
% 0.40/0.60 % SZS output start Refutation
% 0.40/0.60
% 0.40/0.60 1 [] {+} greatest_lower_bound(multiply(a,c),multiply(b,c))!=multiply(a,c).
% 0.40/0.60 8 [] {+} greatest_lower_bound(A,B)=greatest_lower_bound(B,A).
% 0.40/0.60 22 [] {+} greatest_lower_bound(A,least_upper_bound(A,B))=A.
% 0.40/0.60 30 [] {-} multiply(greatest_lower_bound(A,B),C)=greatest_lower_bound(multiply(A,C),multiply(B,C)).
% 0.40/0.60 32 [] {+} least_upper_bound(a,b)=b.
% 0.40/0.60 35 [para_from,8.1.1,1.1.1] {+} greatest_lower_bound(multiply(b,c),multiply(a,c))!=multiply(a,c).
% 0.40/0.60 44 [para_into,22.1.1.2,32.1.1] {+} greatest_lower_bound(a,b)=a.
% 0.40/0.60 50 [para_into,44.1.1,8.1.1] {+} greatest_lower_bound(b,a)=a.
% 0.40/0.60 166 [para_into,30.1.1.1,50.1.1,flip.1] {-} greatest_lower_bound(multiply(b,A),multiply(a,A))=multiply(a,A).
% 0.40/0.60 168 [binary,166.1,35.1] {-} $F.
% 0.40/0.60
% 0.40/0.60 % SZS output end Refutation
% 0.40/0.60 ------------ end of proof -------------
% 0.40/0.60
% 0.40/0.60
% 0.40/0.60 Search stopped by max_proofs option.
% 0.40/0.60
% 0.40/0.60
% 0.40/0.60 Search stopped by max_proofs option.
% 0.40/0.60
% 0.40/0.60 ============ end of search ============
% 0.40/0.60
% 0.40/0.60 ----------- soft-scott stats ----------
% 0.40/0.60
% 0.40/0.60 true clauses given 7 (26.9%)
% 0.40/0.60 false clauses given 19
% 0.40/0.60
% 0.40/0.60 FALSE TRUE
% 0.40/0.60 4 0 1
% 0.40/0.60 6 0 1
% 0.40/0.60 7 0 4
% 0.40/0.60 8 0 4
% 0.40/0.60 9 0 7
% 0.40/0.60 11 2 15
% 0.40/0.60 12 0 1
% 0.40/0.60 13 0 4
% 0.40/0.60 15 6 0
% 0.40/0.60 17 6 0
% 0.40/0.60 19 1 0
% 0.40/0.60 23 4 0
% 0.40/0.60 31 1 2
% 0.40/0.60 tot: 20 39 (66.1% true)
% 0.40/0.60
% 0.40/0.60
% 0.40/0.60 Model 11 (0.00 seconds, 250000 Inserts)
% 0.40/0.60
% 0.40/0.60 That finishes the proof of the theorem.
% 0.40/0.60
% 0.40/0.60 Process 921 finished Tue Jun 14 13:34:37 2022
%------------------------------------------------------------------------------