%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : GRP034-4 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : sos-script %s
% Computer : n004.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 0.21s 0.49s
% Output : Refutation 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : GRP034-4 : TPTP v8.1.0. Released v1.0.0.
% 0.13/0.14 % Command : sos-script %s
% 0.14/0.35 % Computer : n004.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 : Tue Jun 14 10:20:08 EDT 2022
% 0.21/0.35 % CPUTime :
% 0.21/0.37 ----- Otter 3.2, August 2001 -----
% 0.21/0.37 The process was started by sandbox on n004.cluster.edu,
% 0.21/0.37 Tue Jun 14 10:20:09 2022
% 0.21/0.37 The command was "./sos". The process ID is 2344.
% 0.21/0.37
% 0.21/0.37 set(prolog_style_variables).
% 0.21/0.37 set(auto).
% 0.21/0.37 dependent: set(auto1).
% 0.21/0.37 dependent: set(process_input).
% 0.21/0.37 dependent: clear(print_kept).
% 0.21/0.37 dependent: clear(print_new_demod).
% 0.21/0.37 dependent: clear(print_back_demod).
% 0.21/0.37 dependent: clear(print_back_sub).
% 0.21/0.37 dependent: set(control_memory).
% 0.21/0.37 dependent: assign(max_mem, 12000).
% 0.21/0.37 dependent: assign(pick_given_ratio, 4).
% 0.21/0.37 dependent: assign(stats_level, 1).
% 0.21/0.37 dependent: assign(pick_semantic_ratio, 3).
% 0.21/0.37 dependent: assign(sos_limit, 5000).
% 0.21/0.37 dependent: assign(max_weight, 60).
% 0.21/0.37 clear(print_given).
% 0.21/0.37
% 0.21/0.37 list(usable).
% 0.21/0.37
% 0.21/0.37 SCAN INPUT: prop=0, horn=1, equality=0, symmetry=0, max_lits=4.
% 0.21/0.37
% 0.21/0.37 This is a Horn set without equality. The strategy will
% 0.21/0.37 be hyperresolution, with satellites in sos and nuclei
% 0.21/0.37 in usable.
% 0.21/0.37
% 0.21/0.37 dependent: set(hyper_res).
% 0.21/0.37 dependent: clear(order_hyper).
% 0.21/0.37
% 0.21/0.37 ------------> process usable:
% 0.21/0.37
% 0.21/0.37 ------------> process sos:
% 0.21/0.37
% 0.21/0.37 ======= end of input processing =======
% 0.21/0.42
% 0.21/0.42 Model 1 (0.00 seconds, 0 Inserts)
% 0.21/0.42
% 0.21/0.42 Stopped by limit on number of solutions
% 0.21/0.42
% 0.21/0.42
% 0.21/0.42 -------------- Softie stats --------------
% 0.21/0.42
% 0.21/0.42 UPDATE_STOP: 300
% 0.21/0.42 SFINDER_TIME_LIMIT: 2
% 0.21/0.42 SHORT_CLAUSE_CUTOFF: 4
% 0.21/0.42 number of clauses in intial UL: 4
% 0.21/0.42 number of clauses initially in problem: 9
% 0.21/0.42 percentage of clauses intially in UL: 44
% 0.21/0.42 percentage of distinct symbols occuring in initial UL: 66
% 0.21/0.42 percent of all initial clauses that are short: 100
% 0.21/0.42 absolute distinct symbol count: 6
% 0.21/0.42 distinct predicate count: 2
% 0.21/0.42 distinct function count: 2
% 0.21/0.42 distinct constant count: 2
% 0.21/0.42
% 0.21/0.42 ---------- no more Softie stats ----------
% 0.21/0.42
% 0.21/0.42
% 0.21/0.42
% 0.21/0.42 Model 2 (0.00 seconds, 0 Inserts)
% 0.21/0.42
% 0.21/0.42 Stopped by limit on number of solutions
% 0.21/0.42
% 0.21/0.42 =========== start of search ===========
% 0.21/0.49
% 0.21/0.49 -------- PROOF --------
% 0.21/0.49 % SZS status Unsatisfiable
% 0.21/0.49 % SZS output start Refutation
% 0.21/0.49
% 0.21/0.49 Model 3 (0.00 seconds, 0 Inserts)
% 0.21/0.49
% 0.21/0.49 Stopped by limit on number of solutions
% 0.21/0.49
% 0.21/0.49 Model 4 (0.00 seconds, 0 Inserts)
% 0.21/0.49
% 0.21/0.49 Stopped by limit on number of solutions
% 0.21/0.49
% 0.21/0.49 Model 5 [ 1 1 204 ] (0.00 seconds, 3249 Inserts)
% 0.21/0.49
% 0.21/0.49 Model 6 [ 1 1 231 ] (0.00 seconds, 6936 Inserts)
% 0.21/0.49
% 0.21/0.49 ----> UNIT CONFLICT at 0.10 sec ----> 42 [binary,41.1,4.1] {-} $F.
% 0.21/0.49
% 0.21/0.49 Length of proof is 2. Level of proof is 2.
% 0.21/0.49
% 0.21/0.49 ---------------- PROOF ----------------
% 0.21/0.49 % SZS status Unsatisfiable
% 0.21/0.49 % SZS output start Refutation
% 0.21/0.49
% 0.21/0.49 3 [] {+} -subgroup_member(A)| -subgroup_member(B)| -product(B,inverse(A),C)|subgroup_member(C).
% 0.21/0.49 4 [] {+} -subgroup_member(inverse(a)).
% 0.21/0.49 6 [] {+} product(identity,A,A).
% 0.21/0.49 8 [] {+} product(A,inverse(A),identity).
% 0.21/0.49 9 [] {+} subgroup_member(a).
% 0.21/0.49 19 [hyper,8,3,9,9] {+} subgroup_member(identity).
% 0.21/0.49 41 [hyper,19,3,9,6] {-} subgroup_member(inverse(a)).
% 0.21/0.49 42 [binary,41.1,4.1] {-} $F.
% 0.21/0.49
% 0.21/0.49 % SZS output end Refutation
% 0.21/0.49 ------------ end of proof -------------
% 0.21/0.49
% 0.21/0.49
% 0.21/0.49 Search stopped by max_proofs option.
% 0.21/0.49
% 0.21/0.49
% 0.21/0.49 Search stopped by max_proofs option.
% 0.21/0.49
% 0.21/0.49 ============ end of search ============
% 0.21/0.49
% 0.21/0.49 ----------- soft-scott stats ----------
% 0.21/0.49
% 0.21/0.49 true clauses given 0 (0.0%)
% 0.21/0.49 false clauses given 5
% 0.21/0.49
% 0.21/0.49 FALSE TRUE
% 0.21/0.49 4 1 0
% 0.21/0.49 5 0 2
% 0.21/0.49 6 3 1
% 0.21/0.49 7 1 7
% 0.21/0.49 8 0 7
% 0.21/0.49 9 0 5
% 0.21/0.49 10 0 2
% 0.21/0.49 tot: 5 24 (82.8% true)
% 0.21/0.49
% 0.21/0.49
% 0.21/0.49 Model 6 [ 1 1 231 ] (0.00 seconds, 6936 Inserts)
% 0.21/0.49
% 0.21/0.49 That finishes the proof of the theorem.
% 0.21/0.49
% 0.21/0.49 Process 2344 finished Tue Jun 14 10:20:09 2022
%------------------------------------------------------------------------------