TSTP Solution File: GRP020-1 by SOS---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : GRP020-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : sos-script %s
% Computer : n018.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 11:41:01 EDT 2022
% Result : Unsatisfiable 0.22s 0.46s
% Output : Refutation 0.22s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : GRP020-1 : TPTP v8.1.0. Released v1.0.0.
% 0.08/0.14 % Command : sos-script %s
% 0.14/0.36 % Computer : n018.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 600
% 0.14/0.36 % DateTime : Mon Jun 13 22:02:58 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.14/0.38 ----- Otter 3.2, August 2001 -----
% 0.14/0.38 The process was started by sandbox on n018.cluster.edu,
% 0.14/0.38 Mon Jun 13 22:02:58 2022
% 0.14/0.38 The command was "./sos". The process ID is 24147.
% 0.14/0.38
% 0.14/0.38 set(prolog_style_variables).
% 0.14/0.38 set(auto).
% 0.14/0.38 dependent: set(auto1).
% 0.14/0.38 dependent: set(process_input).
% 0.14/0.38 dependent: clear(print_kept).
% 0.14/0.38 dependent: clear(print_new_demod).
% 0.14/0.38 dependent: clear(print_back_demod).
% 0.14/0.38 dependent: clear(print_back_sub).
% 0.14/0.38 dependent: set(control_memory).
% 0.14/0.38 dependent: assign(max_mem, 12000).
% 0.14/0.38 dependent: assign(pick_given_ratio, 4).
% 0.14/0.38 dependent: assign(stats_level, 1).
% 0.14/0.38 dependent: assign(pick_semantic_ratio, 3).
% 0.14/0.38 dependent: assign(sos_limit, 5000).
% 0.14/0.38 dependent: assign(max_weight, 60).
% 0.14/0.38 clear(print_given).
% 0.14/0.38
% 0.14/0.38 list(usable).
% 0.14/0.38
% 0.14/0.38 SCAN INPUT: prop=0, horn=1, equality=1, symmetry=0, max_lits=4.
% 0.14/0.38
% 0.14/0.38 This is a Horn set with equality. The strategy will be
% 0.14/0.38 Knuth-Bendix and hyper_res, with positive clauses in
% 0.14/0.38 sos and nonpositive clauses in usable.
% 0.14/0.38
% 0.14/0.38 dependent: set(knuth_bendix).
% 0.14/0.38 dependent: set(para_from).
% 0.14/0.38 dependent: set(para_into).
% 0.14/0.38 dependent: clear(para_from_right).
% 0.14/0.38 dependent: clear(para_into_right).
% 0.14/0.38 dependent: set(para_from_vars).
% 0.14/0.38 dependent: set(eq_units_both_ways).
% 0.14/0.38 dependent: set(dynamic_demod_all).
% 0.14/0.38 dependent: set(dynamic_demod).
% 0.14/0.38 dependent: set(order_eq).
% 0.14/0.38 dependent: set(back_demod).
% 0.14/0.38 dependent: set(lrpo).
% 0.14/0.38 dependent: set(hyper_res).
% 0.14/0.38 dependent: clear(order_hyper).
% 0.14/0.38
% 0.14/0.38 ------------> process usable:
% 0.14/0.38
% 0.14/0.38 ------------> process sos:
% 0.14/0.38 Following clause subsumed by 10 during input processing: 0 [copy,10,flip.1] {-} A=A.
% 0.14/0.38
% 0.14/0.38 ======= end of input processing =======
% 0.22/0.43
% 0.22/0.43 Model 1 (0.00 seconds, 0 Inserts)
% 0.22/0.43
% 0.22/0.43 Stopped by limit on number of solutions
% 0.22/0.43
% 0.22/0.43
% 0.22/0.43 -------------- Softie stats --------------
% 0.22/0.43
% 0.22/0.43 UPDATE_STOP: 300
% 0.22/0.43 SFINDER_TIME_LIMIT: 2
% 0.22/0.43 SHORT_CLAUSE_CUTOFF: 4
% 0.22/0.43 number of clauses in intial UL: 4
% 0.22/0.43 number of clauses initially in problem: 10
% 0.22/0.43 percentage of clauses intially in UL: 40
% 0.22/0.43 percentage of distinct symbols occuring in initial UL: 100
% 0.22/0.43 percent of all initial clauses that are short: 100
% 0.22/0.43 absolute distinct symbol count: 6
% 0.22/0.43 distinct predicate count: 2
% 0.22/0.43 distinct function count: 2
% 0.22/0.43 distinct constant count: 2
% 0.22/0.43
% 0.22/0.43 ---------- no more Softie stats ----------
% 0.22/0.43
% 0.22/0.43
% 0.22/0.43
% 0.22/0.43 Model 2 (0.00 seconds, 0 Inserts)
% 0.22/0.43
% 0.22/0.43 Stopped by limit on number of solutions
% 0.22/0.43
% 0.22/0.43 =========== start of search ===========
% 0.22/0.46
% 0.22/0.46 -------- PROOF --------
% 0.22/0.46 % SZS status Unsatisfiable
% 0.22/0.46 % SZS output start Refutation
% 0.22/0.46
% 0.22/0.46 Model 3 (0.00 seconds, 0 Inserts)
% 0.22/0.46
% 0.22/0.46 Stopped by limit on number of solutions
% 0.22/0.46
% 0.22/0.46 Model 4 [ 1 1 1309 ] (0.00 seconds, 4493 Inserts)
% 0.22/0.46
% 0.22/0.46 ----> UNIT CONFLICT at 0.05 sec ----> 42 [binary,40.1,4.1] {+} $F.
% 0.22/0.46
% 0.22/0.46 Length of proof is 1. Level of proof is 1.
% 0.22/0.46
% 0.22/0.46 ---------------- PROOF ----------------
% 0.22/0.46 % SZS status Unsatisfiable
% 0.22/0.46 % SZS output start Refutation
% 0.22/0.46
% 0.22/0.46 1 [] {+} -product(A,B,C)| -product(A,B,D)|C=D.
% 0.22/0.46 4 [] {+} multiply(inverse(a),a)!=identity.
% 0.22/0.46 7 [] {+} product(inverse(A),A,identity).
% 0.22/0.46 9 [] {+} product(A,B,multiply(A,B)).
% 0.22/0.46 40 [hyper,9,1,7,flip.1] {-} multiply(inverse(A),A)=identity.
% 0.22/0.46 42 [binary,40.1,4.1] {+} $F.
% 0.22/0.46
% 0.22/0.46 % SZS output end Refutation
% 0.22/0.46 ------------ end of proof -------------
% 0.22/0.46
% 0.22/0.46
% 0.22/0.46 Search stopped by max_proofs option.
% 0.22/0.46
% 0.22/0.46
% 0.22/0.46 Search stopped by max_proofs option.
% 0.22/0.46
% 0.22/0.46 ============ end of search ============
% 0.22/0.46
% 0.22/0.46 ----------- soft-scott stats ----------
% 0.22/0.46
% 0.22/0.46 true clauses given 0 (0.0%)
% 0.22/0.46 false clauses given 3
% 0.22/0.46
% 0.22/0.46 FALSE TRUE
% 0.22/0.46 3 0 1
% 0.22/0.46 4 0 1
% 0.22/0.46 5 1 1
% 0.22/0.46 6 1 0
% 0.22/0.46 12 0 1
% 0.22/0.46 13 2 0
% 0.22/0.46 tot: 4 4 (50.0% true)
% 0.22/0.46
% 0.22/0.46
% 0.22/0.46 Model 4 [ 1 1 1309 ] (0.00 seconds, 4493 Inserts)
% 0.22/0.46
% 0.22/0.46 That finishes the proof of the theorem.
% 0.22/0.46
% 0.22/0.46 Process 24147 finished Mon Jun 13 22:02:58 2022
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