TSTP Solution File: GRP710-11 by SOS---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : GRP710-11 : TPTP v8.1.0. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : sos-script %s
% Computer : n007.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 11:44:14 EDT 2022
% Result : Unsatisfiable 0.19s 0.45s
% Output : Refutation 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP710-11 : TPTP v8.1.0. Released v8.1.0.
% 0.07/0.13 % Command : sos-script %s
% 0.13/0.34 % Computer : n007.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 Jun 13 10:08:39 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.35 ----- Otter 3.2, August 2001 -----
% 0.13/0.35 The process was started by sandbox2 on n007.cluster.edu,
% 0.13/0.35 Mon Jun 13 10:08:39 2022
% 0.13/0.35 The command was "./sos". The process ID is 17398.
% 0.13/0.35
% 0.13/0.35 set(prolog_style_variables).
% 0.13/0.35 set(auto).
% 0.13/0.35 dependent: set(auto1).
% 0.13/0.35 dependent: set(process_input).
% 0.13/0.35 dependent: clear(print_kept).
% 0.13/0.35 dependent: clear(print_new_demod).
% 0.13/0.35 dependent: clear(print_back_demod).
% 0.13/0.35 dependent: clear(print_back_sub).
% 0.13/0.35 dependent: set(control_memory).
% 0.13/0.35 dependent: assign(max_mem, 12000).
% 0.13/0.35 dependent: assign(pick_given_ratio, 4).
% 0.13/0.35 dependent: assign(stats_level, 1).
% 0.13/0.35 dependent: assign(pick_semantic_ratio, 3).
% 0.13/0.35 dependent: assign(sos_limit, 5000).
% 0.13/0.35 dependent: assign(max_weight, 60).
% 0.13/0.35 clear(print_given).
% 0.13/0.35
% 0.13/0.35 list(usable).
% 0.13/0.35
% 0.13/0.35 SCAN INPUT: prop=0, horn=1, equality=1, symmetry=0, max_lits=1.
% 0.13/0.35
% 0.13/0.35 All clauses are units, and equality is present; the
% 0.13/0.35 strategy will be Knuth-Bendix with positive clauses in sos.
% 0.13/0.35
% 0.13/0.35 dependent: set(knuth_bendix).
% 0.13/0.35 dependent: set(para_from).
% 0.13/0.35 dependent: set(para_into).
% 0.13/0.35 dependent: clear(para_from_right).
% 0.13/0.35 dependent: clear(para_into_right).
% 0.13/0.35 dependent: set(para_from_vars).
% 0.13/0.35 dependent: set(eq_units_both_ways).
% 0.13/0.35 dependent: set(dynamic_demod_all).
% 0.13/0.35 dependent: set(dynamic_demod).
% 0.13/0.35 dependent: set(order_eq).
% 0.13/0.35 dependent: set(back_demod).
% 0.13/0.35 dependent: set(lrpo).
% 0.13/0.35
% 0.13/0.35 ------------> process usable:
% 0.13/0.35
% 0.13/0.35 ------------> process sos:
% 0.13/0.35 Following clause subsumed by 13 during input processing: 0 [copy,13,flip.1] {-} A=A.
% 0.13/0.35
% 0.13/0.35 ======= end of input processing =======
% 0.19/0.40
% 0.19/0.40 Model 1 (0.00 seconds, 0 Inserts)
% 0.19/0.40
% 0.19/0.40 Stopped by limit on number of solutions
% 0.19/0.40
% 0.19/0.40
% 0.19/0.40 -------------- Softie stats --------------
% 0.19/0.40
% 0.19/0.40 UPDATE_STOP: 300
% 0.19/0.40 SFINDER_TIME_LIMIT: 2
% 0.19/0.40 SHORT_CLAUSE_CUTOFF: 4
% 0.19/0.40 number of clauses in intial UL: 1
% 0.19/0.40 number of clauses initially in problem: 12
% 0.19/0.40 percentage of clauses intially in UL: 8
% 0.19/0.40 percentage of distinct symbols occuring in initial UL: 66
% 0.19/0.40 percent of all initial clauses that are short: 100
% 0.19/0.40 absolute distinct symbol count: 6
% 0.19/0.40 distinct predicate count: 1
% 0.19/0.40 distinct function count: 2
% 0.19/0.40 distinct constant count: 3
% 0.19/0.40
% 0.19/0.40 ---------- no more Softie stats ----------
% 0.19/0.40
% 0.19/0.40
% 0.19/0.40
% 0.19/0.40 Model 2 (0.00 seconds, 0 Inserts)
% 0.19/0.40
% 0.19/0.40 Stopped by limit on number of solutions
% 0.19/0.40
% 0.19/0.40 =========== start of search ===========
% 0.19/0.45
% 0.19/0.45 -------- PROOF --------
% 0.19/0.45 % SZS status Unsatisfiable
% 0.19/0.45 % SZS output start Refutation
% 0.19/0.45
% 0.19/0.45 Model 3 (0.00 seconds, 0 Inserts)
% 0.19/0.45
% 0.19/0.45 Stopped by limit on number of solutions
% 0.19/0.45
% 0.19/0.45 Model 4 (0.00 seconds, 0 Inserts)
% 0.19/0.45
% 0.19/0.45 Stopped by limit on number of solutions
% 0.19/0.45
% 0.19/0.45 Model 5 (0.00 seconds, 0 Inserts)
% 0.19/0.45
% 0.19/0.45 Stopped by limit on number of solutions
% 0.19/0.45
% 0.19/0.45 ----> UNIT CONFLICT at 0.06 sec ----> 335 [binary,334.1,287.1] {-} $F.
% 0.19/0.45
% 0.19/0.45 Length of proof is 8. Level of proof is 5.
% 0.19/0.45
% 0.19/0.45 ---------------- PROOF ----------------
% 0.19/0.45 % SZS status Unsatisfiable
% 0.19/0.45 % SZS output start Refutation
% 0.19/0.45
% 0.19/0.45 1 [] {+} mult(A,x4)!=x3.
% 0.19/0.45 3,2 [] {+} mult(A,unit)=A.
% 0.19/0.45 5,4 [] {+} mult(unit,A)=A.
% 0.19/0.45 6 [] {-} mult(A,mult(B,mult(B,C)))=mult(mult(mult(A,B),B),C).
% 0.19/0.45 7 [copy,6,flip.1] {-} mult(mult(mult(A,B),B),C)=mult(A,mult(B,mult(B,C))).
% 0.19/0.45 12,11 [] {+} mult(i(A),A)=unit.
% 0.19/0.45 31,30 [para_into,7.1.1,2.1.1,demod,3] {-} mult(mult(A,B),B)=mult(A,mult(B,B)).
% 0.19/0.45 34 [back_demod,7,demod,31] {-} mult(mult(A,mult(B,B)),C)=mult(A,mult(B,mult(B,C))).
% 0.19/0.45 49 [para_into,30.1.1.1,11.1.1,demod,5,flip.1] {+} mult(i(A),mult(A,A))=A.
% 0.19/0.45 56 [para_from,30.1.1,1.1.1] {-} mult(A,mult(x4,x4))!=x3.
% 0.19/0.45 287 [para_into,34.1.1.1,11.1.1,demod,5,flip.1] {-} mult(i(mult(A,A)),mult(A,mult(A,B)))=B.
% 0.19/0.45 304 [para_from,34.1.1,56.1.1] {-} mult(A,mult(B,mult(B,mult(x4,x4))))!=x3.
% 0.19/0.45 334 [para_into,304.1.1.2.2,49.1.1,demod,12,3] {-} A!=x3.
% 0.19/0.45 335 [binary,334.1,287.1] {-} $F.
% 0.19/0.45
% 0.19/0.45 % SZS output end Refutation
% 0.19/0.45 ------------ end of proof -------------
% 0.19/0.45
% 0.19/0.45
% 0.19/0.45 Search stopped by max_proofs option.
% 0.19/0.45
% 0.19/0.45
% 0.19/0.45 Search stopped by max_proofs option.
% 0.19/0.45
% 0.19/0.45 ============ end of search ============
% 0.19/0.45
% 0.19/0.45 ----------- soft-scott stats ----------
% 0.19/0.45
% 0.19/0.45 true clauses given 12 (25.0%)
% 0.19/0.45 false clauses given 36
% 0.19/0.45
% 0.19/0.45 FALSE TRUE
% 0.19/0.45 6 0 1
% 0.19/0.45 9 0 1
% 0.19/0.45 10 0 3
% 0.19/0.45 11 0 2
% 0.19/0.45 12 5 1
% 0.19/0.45 13 1 4
% 0.19/0.45 14 10 2
% 0.19/0.45 15 6 1
% 0.19/0.45 16 7 2
% 0.19/0.45 17 11 1
% 0.19/0.45 18 5 1
% 0.19/0.45 19 6 1
% 0.19/0.45 20 9 3
% 0.19/0.45 21 4 0
% 0.19/0.45 22 5 0
% 0.19/0.45 23 6 1
% 0.19/0.45 24 7 1
% 0.19/0.45 25 2 0
% 0.19/0.45 27 8 1
% 0.19/0.45 28 3 0
% 0.19/0.45 30 3 1
% 0.19/0.45 31 6 0
% 0.19/0.45 32 1 0
% 0.19/0.45 33 0 1
% 0.19/0.45 34 1 0
% 0.19/0.45 35 2 0
% 0.19/0.45 36 3 0
% 0.19/0.45 38 3 0
% 0.19/0.45 39 2 0
% 0.19/0.45 42 1 0
% 0.19/0.45 43 3 0
% 0.19/0.45 44 1 0
% 0.19/0.45 46 2 0
% 0.19/0.45 55 2 0
% 0.19/0.45 tot: 125 28 (18.3% true)
% 0.19/0.45
% 0.19/0.45
% 0.19/0.45 Model 5 (0.00 seconds, 0 Inserts)
% 0.19/0.45
% 0.19/0.45 That finishes the proof of the theorem.
% 0.19/0.45
% 0.19/0.45 Process 17398 finished Mon Jun 13 10:08:39 2022
%------------------------------------------------------------------------------