TSTP Solution File: KLE002+1 by SOS---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : KLE002+1 : TPTP v8.1.0. Released v4.0.0.
% 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 : Sun Jul 17 02:27:03 EDT 2022
% Result : Theorem 0.20s 0.46s
% Output : Refutation 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : KLE002+1 : TPTP v8.1.0. Released v4.0.0.
% 0.04/0.13 % Command : sos-script %s
% 0.14/0.35 % Computer : n017.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Thu Jun 16 12:33:10 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.20/0.37 ----- Otter 3.2, August 2001 -----
% 0.20/0.37 The process was started by sandbox2 on n017.cluster.edu,
% 0.20/0.37 Thu Jun 16 12:33:10 2022
% 0.20/0.37 The command was "./sos". The process ID is 13285.
% 0.20/0.37
% 0.20/0.37 set(prolog_style_variables).
% 0.20/0.37 set(auto).
% 0.20/0.37 dependent: set(auto1).
% 0.20/0.37 dependent: set(process_input).
% 0.20/0.37 dependent: clear(print_kept).
% 0.20/0.37 dependent: clear(print_new_demod).
% 0.20/0.37 dependent: clear(print_back_demod).
% 0.20/0.37 dependent: clear(print_back_sub).
% 0.20/0.37 dependent: set(control_memory).
% 0.20/0.37 dependent: assign(max_mem, 12000).
% 0.20/0.37 dependent: assign(pick_given_ratio, 4).
% 0.20/0.37 dependent: assign(stats_level, 1).
% 0.20/0.37 dependent: assign(pick_semantic_ratio, 3).
% 0.20/0.37 dependent: assign(sos_limit, 5000).
% 0.20/0.37 dependent: assign(max_weight, 60).
% 0.20/0.37 clear(print_given).
% 0.20/0.37
% 0.20/0.37 formula_list(usable).
% 0.20/0.37
% 0.20/0.37 SCAN INPUT: prop=0, horn=1, equality=1, symmetry=0, max_lits=2.
% 0.20/0.37
% 0.20/0.37 This is a Horn set with equality. The strategy will be
% 0.20/0.37 Knuth-Bendix and hyper_res, with positive clauses in
% 0.20/0.37 sos and nonpositive clauses in usable.
% 0.20/0.37
% 0.20/0.37 dependent: set(knuth_bendix).
% 0.20/0.37 dependent: set(para_from).
% 0.20/0.37 dependent: set(para_into).
% 0.20/0.37 dependent: clear(para_from_right).
% 0.20/0.37 dependent: clear(para_into_right).
% 0.20/0.37 dependent: set(para_from_vars).
% 0.20/0.37 dependent: set(eq_units_both_ways).
% 0.20/0.37 dependent: set(dynamic_demod_all).
% 0.20/0.37 dependent: set(dynamic_demod).
% 0.20/0.37 dependent: set(order_eq).
% 0.20/0.37 dependent: set(back_demod).
% 0.20/0.37 dependent: set(lrpo).
% 0.20/0.37 dependent: set(hyper_res).
% 0.20/0.37 dependent: clear(order_hyper).
% 0.20/0.37
% 0.20/0.37 ------------> process usable:
% 0.20/0.37
% 0.20/0.37 ------------> process sos:
% 0.20/0.37 Following clause subsumed by 4 during input processing: 0 [copy,4,flip.1] {-} addition(A,B)=addition(B,A).
% 0.20/0.37 Following clause subsumed by 28 during input processing: 0 [copy,28,flip.1] {-} A=A.
% 0.20/0.37
% 0.20/0.37 ======= end of input processing =======
% 0.20/0.40
% 0.20/0.40 Model 1 (0.00 seconds, 0 Inserts)
% 0.20/0.40
% 0.20/0.40 Stopped by limit on number of solutions
% 0.20/0.40
% 0.20/0.40
% 0.20/0.40 -------------- Softie stats --------------
% 0.20/0.40
% 0.20/0.40 UPDATE_STOP: 300
% 0.20/0.40 SFINDER_TIME_LIMIT: 2
% 0.20/0.40 SHORT_CLAUSE_CUTOFF: 4
% 0.20/0.40 number of clauses in intial UL: 3
% 0.20/0.40 number of clauses initially in problem: 26
% 0.20/0.40 percentage of clauses intially in UL: 11
% 0.20/0.40 percentage of distinct symbols occuring in initial UL: 77
% 0.20/0.40 percent of all initial clauses that are short: 100
% 0.20/0.40 absolute distinct symbol count: 9
% 0.20/0.40 distinct predicate count: 2
% 0.20/0.40 distinct function count: 2
% 0.20/0.40 distinct constant count: 5
% 0.20/0.40
% 0.20/0.40 ---------- no more Softie stats ----------
% 0.20/0.40
% 0.20/0.40
% 0.20/0.40
% 0.20/0.40 Model 2 (0.00 seconds, 0 Inserts)
% 0.20/0.40
% 0.20/0.40 Stopped by limit on number of solutions
% 0.20/0.40
% 0.20/0.40 =========== start of search ===========
% 0.20/0.46
% 0.20/0.46 -------- PROOF --------
% 0.20/0.46 % SZS status Theorem
% 0.20/0.46 % SZS output start Refutation
% 0.20/0.46
% 0.20/0.46 Model 3 (0.00 seconds, 0 Inserts)
% 0.20/0.46
% 0.20/0.46 Stopped by limit on number of solutions
% 0.20/0.46
% 0.20/0.46 Model 4 (0.00 seconds, 0 Inserts)
% 0.20/0.46
% 0.20/0.46 Stopped by limit on number of solutions
% 0.20/0.46
% 0.20/0.46 Model 5 (0.00 seconds, 0 Inserts)
% 0.20/0.46
% 0.20/0.46 Stopped by limit on number of solutions
% 0.20/0.46
% 0.20/0.46 Model 6 (0.00 seconds, 0 Inserts)
% 0.20/0.46
% 0.20/0.46 Stopped by limit on number of solutions
% 0.20/0.46
% 0.20/0.46 Model 7 (0.00 seconds, 0 Inserts)
% 0.20/0.46
% 0.20/0.46 Stopped by limit on number of solutions
% 0.20/0.46
% 0.20/0.46 Model 8 (0.00 seconds, 0 Inserts)
% 0.20/0.46
% 0.20/0.46 Stopped by limit on number of solutions
% 0.20/0.46
% 0.20/0.46 Model 9 (0.00 seconds, 0 Inserts)
% 0.20/0.46
% 0.20/0.46 Stopped by limit on number of solutions
% 0.20/0.46
% 0.20/0.46 ----> UNIT CONFLICT at 0.06 sec ----> 87 [binary,86.1,3.1] {-} $F.
% 0.20/0.46
% 0.20/0.46 Length of proof is 3. Level of proof is 3.
% 0.20/0.46
% 0.20/0.46 ---------------- PROOF ----------------
% 0.20/0.46 % SZS status Theorem
% 0.20/0.46 % SZS output start Refutation
% 0.20/0.46
% 0.20/0.46 1 [] {+} -leq(A,B)|addition(A,B)=B.
% 0.20/0.46 2 [] {+} leq(A,B)|addition(A,B)!=B.
% 0.20/0.46 3 [] {+} -leq(multiplication($c3,$c1),multiplication($c2,$c1)).
% 0.20/0.46 21 [] {-} multiplication(addition(A,B),C)=addition(multiplication(A,C),multiplication(B,C)).
% 0.20/0.46 27 [] {+} leq($c3,$c2).
% 0.20/0.46 31 [hyper,27,1] {+} addition($c3,$c2)=$c2.
% 0.20/0.46 66 [para_into,21.1.1.1,31.1.1,flip.1] {-} addition(multiplication($c3,A),multiplication($c2,A))=multiplication($c2,A).
% 0.20/0.46 86 [hyper,66,2] {-} leq(multiplication($c3,A),multiplication($c2,A)).
% 0.20/0.46 87 [binary,86.1,3.1] {-} $F.
% 0.20/0.46
% 0.20/0.46 % SZS output end Refutation
% 0.20/0.46 ------------ end of proof -------------
% 0.20/0.46
% 0.20/0.46
% 0.20/0.46 Search stopped by max_proofs option.
% 0.20/0.46
% 0.20/0.46
% 0.20/0.46 Search stopped by max_proofs option.
% 0.20/0.46
% 0.20/0.46 ============ end of search ============
% 0.20/0.46
% 0.20/0.46 ----------- soft-scott stats ----------
% 0.20/0.46
% 0.20/0.46 true clauses given 5 (25.0%)
% 0.20/0.46 false clauses given 15
% 0.20/0.46
% 0.20/0.46 FALSE TRUE
% 0.20/0.46 3 0 1
% 0.20/0.46 5 0 1
% 0.20/0.46 6 0 3
% 0.20/0.46 8 0 2
% 0.20/0.46 9 0 2
% 0.20/0.46 11 1 4
% 0.20/0.46 12 0 3
% 0.20/0.46 14 3 1
% 0.20/0.46 15 3 0
% 0.20/0.46 17 4 0
% 0.20/0.46 23 2 0
% 0.20/0.46 31 0 2
% 0.20/0.46 tot: 13 19 (59.4% true)
% 0.20/0.46
% 0.20/0.46
% 0.20/0.46 Model 9 (0.00 seconds, 0 Inserts)
% 0.20/0.46
% 0.20/0.46 That finishes the proof of the theorem.
% 0.20/0.46
% 0.20/0.46 Process 13285 finished Thu Jun 16 12:33:11 2022
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