TSTP Solution File: GRP557-1 by SOS---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : GRP557-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : sos-script %s
% Computer : n017.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 11:43:20 EDT 2022
% Result : Unsatisfiable 0.56s 0.75s
% Output : Refutation 0.56s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : GRP557-1 : TPTP v8.1.0. Released v2.6.0.
% 0.10/0.13 % Command : sos-script %s
% 0.14/0.34 % Computer : n017.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Mon Jun 13 23:55:08 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.14/0.36 ----- Otter 3.2, August 2001 -----
% 0.14/0.36 The process was started by sandbox on n017.cluster.edu,
% 0.14/0.36 Mon Jun 13 23:55:08 2022
% 0.14/0.36 The command was "./sos". The process ID is 14397.
% 0.14/0.36
% 0.14/0.36 set(prolog_style_variables).
% 0.14/0.36 set(auto).
% 0.14/0.36 dependent: set(auto1).
% 0.14/0.36 dependent: set(process_input).
% 0.14/0.36 dependent: clear(print_kept).
% 0.14/0.36 dependent: clear(print_new_demod).
% 0.14/0.36 dependent: clear(print_back_demod).
% 0.14/0.36 dependent: clear(print_back_sub).
% 0.14/0.36 dependent: set(control_memory).
% 0.14/0.36 dependent: assign(max_mem, 12000).
% 0.14/0.36 dependent: assign(pick_given_ratio, 4).
% 0.14/0.36 dependent: assign(stats_level, 1).
% 0.14/0.36 dependent: assign(pick_semantic_ratio, 3).
% 0.14/0.36 dependent: assign(sos_limit, 5000).
% 0.14/0.36 dependent: assign(max_weight, 60).
% 0.14/0.36 clear(print_given).
% 0.14/0.36
% 0.14/0.36 list(usable).
% 0.14/0.36
% 0.14/0.36 SCAN INPUT: prop=0, horn=1, equality=1, symmetry=0, max_lits=1.
% 0.14/0.36
% 0.14/0.36 All clauses are units, and equality is present; the
% 0.14/0.36 strategy will be Knuth-Bendix with positive clauses in sos.
% 0.14/0.36
% 0.14/0.36 dependent: set(knuth_bendix).
% 0.14/0.36 dependent: set(para_from).
% 0.14/0.36 dependent: set(para_into).
% 0.14/0.36 dependent: clear(para_from_right).
% 0.14/0.36 dependent: clear(para_into_right).
% 0.14/0.36 dependent: set(para_from_vars).
% 0.14/0.36 dependent: set(eq_units_both_ways).
% 0.14/0.36 dependent: set(dynamic_demod_all).
% 0.14/0.36 dependent: set(dynamic_demod).
% 0.14/0.36 dependent: set(order_eq).
% 0.14/0.36 dependent: set(back_demod).
% 0.14/0.36 dependent: set(lrpo).
% 0.14/0.36
% 0.14/0.36 ------------> process usable:
% 0.14/0.36
% 0.14/0.36 ------------> process sos:
% 0.14/0.36 Following clause subsumed by 6 during input processing: 0 [copy,6,flip.1] {-} A=A.
% 0.14/0.36 Following clause subsumed by 5 during input processing: 0 [copy,7,flip.1] {-} multiply(A,B)=divide(A,inverse(B)).
% 0.14/0.36
% 0.14/0.36 ======= end of input processing =======
% 0.14/0.39
% 0.14/0.39 Model 1 (0.00 seconds, 0 Inserts)
% 0.14/0.39
% 0.14/0.39 Stopped by limit on number of solutions
% 0.14/0.39
% 0.14/0.39
% 0.14/0.39 -------------- Softie stats --------------
% 0.14/0.39
% 0.14/0.39 UPDATE_STOP: 300
% 0.14/0.39 SFINDER_TIME_LIMIT: 2
% 0.14/0.39 SHORT_CLAUSE_CUTOFF: 4
% 0.14/0.39 number of clauses in intial UL: 1
% 0.14/0.39 number of clauses initially in problem: 6
% 0.14/0.39 percentage of clauses intially in UL: 16
% 0.14/0.39 percentage of distinct symbols occuring in initial UL: 83
% 0.14/0.39 percent of all initial clauses that are short: 100
% 0.14/0.39 absolute distinct symbol count: 6
% 0.14/0.39 distinct predicate count: 1
% 0.14/0.39 distinct function count: 3
% 0.14/0.39 distinct constant count: 2
% 0.14/0.39
% 0.14/0.39 ---------- no more Softie stats ----------
% 0.14/0.39
% 0.14/0.39
% 0.14/0.39
% 0.14/0.39 =========== start of search ===========
% 0.56/0.75
% 0.56/0.75 -------- PROOF --------
% 0.56/0.75 % SZS status Unsatisfiable
% 0.56/0.75 % SZS output start Refutation
% 0.56/0.75
% 0.56/0.75 Model 2 (0.00 seconds, 0 Inserts)
% 0.56/0.75
% 0.56/0.75 Stopped by limit on number of solutions
% 0.56/0.75
% 0.56/0.75 Model 3 (0.00 seconds, 0 Inserts)
% 0.56/0.75
% 0.56/0.75 Stopped by limit on number of solutions
% 0.56/0.75
% 0.56/0.75 Stopped by limit on insertions
% 0.56/0.75
% 0.56/0.75 Model 4 [ 1 9 75914 ] (0.00 seconds, 250000 Inserts)
% 0.56/0.75
% 0.56/0.75 Model 5 [ 6 1 6719 ] (0.00 seconds, 11768 Inserts)
% 0.56/0.75
% 0.56/0.75 Model 6 [ 2 4 57826 ] (0.00 seconds, 59900 Inserts)
% 0.56/0.75
% 0.56/0.75 Model 7 [ 12 1 933 ] (0.00 seconds, 90561 Inserts)
% 0.56/0.75
% 0.56/0.75 ----> UNIT CONFLICT at 0.36 sec ----> 86 [binary,85.1,2.1] {-} $F.
% 0.56/0.75
% 0.56/0.75 Length of proof is 9. Level of proof is 7.
% 0.56/0.75
% 0.56/0.75 ---------------- PROOF ----------------
% 0.56/0.75 % SZS status Unsatisfiable
% 0.56/0.75 % SZS output start Refutation
% 0.56/0.75
% 0.56/0.75 1 [] {-} multiply(inverse(a1),a1)!=multiply(inverse(b1),b1).
% 0.56/0.75 2 [copy,1,flip.1] {+} multiply(inverse(b1),b1)!=multiply(inverse(a1),a1).
% 0.56/0.75 3 [] {-} divide(A,inverse(divide(divide(B,C),divide(A,C))))=B.
% 0.56/0.75 5 [] {+} multiply(A,B)=divide(A,inverse(B)).
% 0.56/0.75 7 [copy,5,flip.1] {+} divide(A,inverse(B))=multiply(A,B).
% 0.56/0.75 8 [para_into,3.1.1.2.1.1,3.1.1] {-} divide(A,inverse(divide(B,divide(A,inverse(divide(divide(B,C),divide(D,C)))))))=D.
% 0.56/0.75 21 [para_into,8.1.1.2.1.2,3.1.1] {+} divide(A,inverse(divide(B,B)))=A.
% 0.56/0.75 27 [para_from,21.1.1,8.1.1.2.1.2] {+} divide(A,inverse(divide(B,A)))=B.
% 0.56/0.75 59 [para_into,27.1.1,7.1.1] {+} multiply(A,divide(B,A))=B.
% 0.56/0.75 69 [para_into,59.1.1.2,27.1.1] {+} multiply(inverse(divide(A,B)),A)=B.
% 0.56/0.75 84,83 [para_into,69.1.1.1.1,27.1.1,flip.1] {-} inverse(divide(A,B))=multiply(inverse(A),B).
% 0.56/0.75 85 [para_into,69.1.1.1.1,21.1.1,demod,84] {-} multiply(inverse(A),A)=multiply(inverse(B),B).
% 0.56/0.75 86 [binary,85.1,2.1] {-} $F.
% 0.56/0.75
% 0.56/0.75 % SZS output end Refutation
% 0.56/0.75 ------------ end of proof -------------
% 0.56/0.75
% 0.56/0.75
% 0.56/0.75 Search stopped by max_proofs option.
% 0.56/0.75
% 0.56/0.75
% 0.56/0.75 Search stopped by max_proofs option.
% 0.56/0.75
% 0.56/0.75 ============ end of search ============
% 0.56/0.75
% 0.56/0.75 ----------- soft-scott stats ----------
% 0.56/0.75
% 0.56/0.75 true clauses given 2 (20.0%)
% 0.56/0.75 false clauses given 8
% 0.56/0.75
% 0.56/0.75 FALSE TRUE
% 0.56/0.75 8 4 0
% 0.56/0.75 9 4 1
% 0.56/0.75 10 0 1
% 0.56/0.75 11 1 0
% 0.56/0.75 12 2 0
% 0.56/0.75 13 5 0
% 0.56/0.75 16 2 0
% 0.56/0.75 17 2 0
% 0.56/0.75 18 5 0
% 0.56/0.75 22 3 0
% 0.56/0.75 27 2 0
% 0.56/0.75 tot: 30 2 (6.2% true)
% 0.56/0.75
% 0.56/0.75
% 0.56/0.75 Model 7 [ 12 1 933 ] (0.00 seconds, 90561 Inserts)
% 0.56/0.75
% 0.56/0.75 That finishes the proof of the theorem.
% 0.56/0.75
% 0.56/0.75 Process 14397 finished Mon Jun 13 23:55:08 2022
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