%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : GRP033-4 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : sos-script %s
% Computer : n032.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 11:41:08 EDT 2022
% Result : Unsatisfiable 0.47s 0.68s
% Output : Refutation 0.47s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : GRP033-4 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.11 % Command : sos-script %s
% 0.11/0.31 % Computer : n032.cluster.edu
% 0.11/0.31 % Model : x86_64 x86_64
% 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31 % Memory : 8042.1875MB
% 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31 % CPULimit : 300
% 0.11/0.31 % WCLimit : 600
% 0.11/0.31 % DateTime : Mon Jun 13 23:38:27 EDT 2022
% 0.11/0.31 % CPUTime :
% 0.16/0.32 ----- Otter 3.2, August 2001 -----
% 0.16/0.32 The process was started by sandbox on n032.cluster.edu,
% 0.16/0.32 Mon Jun 13 23:38:27 2022
% 0.16/0.32 The command was "./sos". The process ID is 10735.
% 0.16/0.32
% 0.16/0.32 set(prolog_style_variables).
% 0.16/0.32 set(auto).
% 0.16/0.32 dependent: set(auto1).
% 0.16/0.32 dependent: set(process_input).
% 0.16/0.32 dependent: clear(print_kept).
% 0.16/0.32 dependent: clear(print_new_demod).
% 0.16/0.32 dependent: clear(print_back_demod).
% 0.16/0.32 dependent: clear(print_back_sub).
% 0.16/0.32 dependent: set(control_memory).
% 0.16/0.32 dependent: assign(max_mem, 12000).
% 0.16/0.32 dependent: assign(pick_given_ratio, 4).
% 0.16/0.32 dependent: assign(stats_level, 1).
% 0.16/0.32 dependent: assign(pick_semantic_ratio, 3).
% 0.16/0.32 dependent: assign(sos_limit, 5000).
% 0.16/0.32 dependent: assign(max_weight, 60).
% 0.16/0.32 clear(print_given).
% 0.16/0.32
% 0.16/0.32 list(usable).
% 0.16/0.32
% 0.16/0.32 SCAN INPUT: prop=0, horn=1, equality=1, symmetry=0, max_lits=4.
% 0.16/0.32
% 0.16/0.32 This is a Horn set with equality. The strategy will be
% 0.16/0.32 Knuth-Bendix and hyper_res, with positive clauses in
% 0.16/0.32 sos and nonpositive clauses in usable.
% 0.16/0.32
% 0.16/0.32 dependent: set(knuth_bendix).
% 0.16/0.32 dependent: set(para_from).
% 0.16/0.32 dependent: set(para_into).
% 0.16/0.32 dependent: clear(para_from_right).
% 0.16/0.32 dependent: clear(para_into_right).
% 0.16/0.32 dependent: set(para_from_vars).
% 0.16/0.32 dependent: set(eq_units_both_ways).
% 0.16/0.32 dependent: set(dynamic_demod_all).
% 0.16/0.32 dependent: set(dynamic_demod).
% 0.16/0.32 dependent: set(order_eq).
% 0.16/0.32 dependent: set(back_demod).
% 0.16/0.32 dependent: set(lrpo).
% 0.16/0.32 dependent: set(hyper_res).
% 0.16/0.32 dependent: clear(order_hyper).
% 0.16/0.32
% 0.16/0.32 ------------> process usable:
% 0.16/0.32
% 0.16/0.32 ------------> process sos:
% 0.16/0.32 Following clause subsumed by 13 during input processing: 0 [copy,13,flip.1] {-} A=A.
% 0.16/0.32
% 0.16/0.32 ======= end of input processing =======
% 0.16/0.36
% 0.16/0.36 Model 1 (0.00 seconds, 0 Inserts)
% 0.16/0.36
% 0.16/0.36 Stopped by limit on number of solutions
% 0.16/0.36
% 0.16/0.36
% 0.16/0.36 -------------- Softie stats --------------
% 0.16/0.36
% 0.16/0.36 UPDATE_STOP: 300
% 0.16/0.36 SFINDER_TIME_LIMIT: 2
% 0.16/0.36 SHORT_CLAUSE_CUTOFF: 4
% 0.16/0.36 number of clauses in intial UL: 6
% 0.16/0.36 number of clauses initially in problem: 13
% 0.16/0.36 percentage of clauses intially in UL: 46
% 0.16/0.36 percentage of distinct symbols occuring in initial UL: 62
% 0.16/0.36 percent of all initial clauses that are short: 100
% 0.16/0.36 absolute distinct symbol count: 8
% 0.16/0.36 distinct predicate count: 3
% 0.16/0.36 distinct function count: 3
% 0.16/0.36 distinct constant count: 2
% 0.16/0.36
% 0.16/0.36 ---------- no more Softie stats ----------
% 0.16/0.36
% 0.16/0.36
% 0.16/0.36
% 0.16/0.36 Model 2 (0.00 seconds, 0 Inserts)
% 0.16/0.36
% 0.16/0.36 Stopped by limit on number of solutions
% 0.16/0.36
% 0.16/0.36 =========== start of search ===========
% 0.47/0.68
% 0.47/0.68 -------- PROOF --------
% 0.47/0.68 % SZS status Unsatisfiable
% 0.47/0.68 % SZS output start Refutation
% 0.47/0.68
% 0.47/0.68 Model 3 (0.00 seconds, 0 Inserts)
% 0.47/0.68
% 0.47/0.68 Stopped by limit on number of solutions
% 0.47/0.68
% 0.47/0.68 Model 4 [ 1 1 353 ] (0.00 seconds, 3335 Inserts)
% 0.47/0.68
% 0.47/0.68 Stopped by limit on insertions
% 0.47/0.68
% 0.47/0.68 Model 5 [ 1 0 169 ] (0.00 seconds, 250000 Inserts)
% 0.47/0.68
% 0.47/0.68 Stopped by limit on insertions
% 0.47/0.68
% 0.47/0.68 Model 6 [ 2 1 1192 ] (0.00 seconds, 250000 Inserts)
% 0.47/0.68
% 0.47/0.68 Stopped by limit on insertions
% 0.47/0.68
% 0.47/0.68 Model 7 [ 4 1 397 ] (0.00 seconds, 250000 Inserts)
% 0.47/0.68
% 0.47/0.68 Stopped by limit on insertions
% 0.47/0.68
% 0.47/0.68 Model 8 [ 5 1 2443 ] (0.00 seconds, 250000 Inserts)
% 0.47/0.68
% 0.47/0.68 -----> EMPTY CLAUSE at 0.34 sec ----> 34 [hyper,26,6,8,7] {-} $F.
% 0.47/0.68
% 0.47/0.68 Length of proof is 1. Level of proof is 1.
% 0.47/0.68
% 0.47/0.68 ---------------- PROOF ----------------
% 0.47/0.68 % SZS status Unsatisfiable
% 0.47/0.68 % SZS output start Refutation
% 0.47/0.68
% 0.47/0.68 4 [] {+} -subgroup_member(A)| -subgroup_member(B)| -product(A,inverse(B),C)|subgroup_member(C).
% 0.47/0.68 6 [] {+} -product(j(A),A,j(A))| -product(A,j(A),j(A))| -subgroup_member(A).
% 0.47/0.68 7 [] {+} product(identity,A,A).
% 0.47/0.68 8 [] {+} product(A,identity,A).
% 0.47/0.68 10 [] {+} product(A,inverse(A),identity).
% 0.47/0.68 12 [] {+} subgroup_member(a).
% 0.47/0.68 26 [hyper,10,4,12,12] {+} subgroup_member(identity).
% 0.47/0.68 34 [hyper,26,6,8,7] {-} $F.
% 0.47/0.68
% 0.47/0.68 % SZS output end Refutation
% 0.47/0.68 ------------ end of proof -------------
% 0.47/0.68
% 0.47/0.68
% 0.47/0.68 Search stopped by max_proofs option.
% 0.47/0.68
% 0.47/0.68
% 0.47/0.68 Search stopped by max_proofs option.
% 0.47/0.68
% 0.47/0.68 ============ end of search ============
% 0.47/0.68
% 0.47/0.68 ----------- soft-scott stats ----------
% 0.47/0.68
% 0.47/0.68 true clauses given 2 (22.2%)
% 0.47/0.68 false clauses given 7
% 0.47/0.68
% 0.47/0.68 FALSE TRUE
% 0.47/0.68 3 0 1
% 0.47/0.68 4 0 1
% 0.47/0.68 6 5 0
% 0.47/0.68 10 0 1
% 0.47/0.68 12 1 2
% 0.47/0.68 13 2 4
% 0.47/0.68 tot: 8 9 (52.9% true)
% 0.47/0.68
% 0.47/0.68
% 0.47/0.68 Model 8 [ 5 1 2443 ] (0.00 seconds, 250000 Inserts)
% 0.47/0.68
% 0.47/0.68 That finishes the proof of the theorem.
% 0.47/0.68
% 0.47/0.68 Process 10735 finished Mon Jun 13 23:38:27 2022
%------------------------------------------------------------------------------