%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : COM009-2 : TPTP v8.1.0. Released v3.2.0.
% 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 : Fri Jul 15 01:43:27 EDT 2022
% Result : Unsatisfiable 0.11s 0.33s
% Output : Refutation 0.11s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.08 % Problem : COM009-2 : TPTP v8.1.0. Released v3.2.0.
% 0.00/0.08 % Command : sos-script %s
% 0.07/0.27 % Computer : n032.cluster.edu
% 0.07/0.27 % Model : x86_64 x86_64
% 0.07/0.27 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.27 % Memory : 8042.1875MB
% 0.07/0.27 % OS : Linux 3.10.0-693.el7.x86_64
% 0.07/0.27 % CPULimit : 300
% 0.07/0.27 % WCLimit : 600
% 0.07/0.27 % DateTime : Thu Jun 16 17:28:45 EDT 2022
% 0.07/0.27 % CPUTime :
% 0.11/0.29 ----- Otter 3.2, August 2001 -----
% 0.11/0.29 The process was started by sandbox2 on n032.cluster.edu,
% 0.11/0.29 Thu Jun 16 17:28:45 2022
% 0.11/0.29 The command was "./sos". The process ID is 25630.
% 0.11/0.29
% 0.11/0.29 set(prolog_style_variables).
% 0.11/0.29 set(auto).
% 0.11/0.29 dependent: set(auto1).
% 0.11/0.29 dependent: set(process_input).
% 0.11/0.29 dependent: clear(print_kept).
% 0.11/0.29 dependent: clear(print_new_demod).
% 0.11/0.29 dependent: clear(print_back_demod).
% 0.11/0.29 dependent: clear(print_back_sub).
% 0.11/0.29 dependent: set(control_memory).
% 0.11/0.29 dependent: assign(max_mem, 12000).
% 0.11/0.29 dependent: assign(pick_given_ratio, 4).
% 0.11/0.29 dependent: assign(stats_level, 1).
% 0.11/0.29 dependent: assign(pick_semantic_ratio, 3).
% 0.11/0.29 dependent: assign(sos_limit, 5000).
% 0.11/0.29 dependent: assign(max_weight, 60).
% 0.11/0.29 clear(print_given).
% 0.11/0.29
% 0.11/0.29 list(usable).
% 0.11/0.29
% 0.11/0.29 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=2.
% 0.11/0.29
% 0.11/0.29 This ia a non-Horn set with equality. The strategy will be
% 0.11/0.29 Knuth-Bendix, ordered hyper_res, ur_res, factoring, and
% 0.11/0.29 unit deletion, with positive clauses in sos and nonpositive
% 0.11/0.29 clauses in usable.
% 0.11/0.29
% 0.11/0.29 dependent: set(knuth_bendix).
% 0.11/0.29 dependent: set(para_from).
% 0.11/0.29 dependent: set(para_into).
% 0.11/0.29 dependent: clear(para_from_right).
% 0.11/0.29 dependent: clear(para_into_right).
% 0.11/0.29 dependent: set(para_from_vars).
% 0.11/0.29 dependent: set(eq_units_both_ways).
% 0.11/0.29 dependent: set(dynamic_demod_all).
% 0.11/0.29 dependent: set(dynamic_demod).
% 0.11/0.29 dependent: set(order_eq).
% 0.11/0.29 dependent: set(back_demod).
% 0.11/0.29 dependent: set(lrpo).
% 0.11/0.29 dependent: set(hyper_res).
% 0.11/0.29 dependent: set(unit_deletion).
% 0.11/0.29 dependent: set(factor).
% 0.11/0.29
% 0.11/0.29 ------------> process usable:
% 0.11/0.29
% 0.11/0.29 ------------> process sos:
% 0.11/0.29 Following clause subsumed by 5 during input processing: 0 [copy,5,flip.1] {-} A=A.
% 0.11/0.29
% 0.11/0.29 ======= end of input processing =======
% 0.11/0.31
% 0.11/0.31 Model 1 (0.00 seconds, 0 Inserts)
% 0.11/0.31
% 0.11/0.31 Stopped by limit on number of solutions
% 0.11/0.31
% 0.11/0.31
% 0.11/0.31 -------------- Softie stats --------------
% 0.11/0.31
% 0.11/0.31 UPDATE_STOP: 300
% 0.11/0.31 SFINDER_TIME_LIMIT: 2
% 0.11/0.31 SHORT_CLAUSE_CUTOFF: 4
% 0.11/0.31 number of clauses in intial UL: 2
% 0.11/0.31 number of clauses initially in problem: 5
% 0.11/0.31 percentage of clauses intially in UL: 40
% 0.11/0.31 percentage of distinct symbols occuring in initial UL: 100
% 0.11/0.31 percent of all initial clauses that are short: 100
% 0.11/0.31 absolute distinct symbol count: 5
% 0.11/0.31 distinct predicate count: 2
% 0.11/0.31 distinct function count: 1
% 0.11/0.31 distinct constant count: 2
% 0.11/0.31
% 0.11/0.31 ---------- no more Softie stats ----------
% 0.11/0.31
% 0.11/0.31
% 0.11/0.31
% 0.11/0.31 =========== start of search ===========
% 0.11/0.33
% 0.11/0.33 -------- PROOF --------
% 0.11/0.33 % SZS status Unsatisfiable
% 0.11/0.33 % SZS output start Refutation
% 0.11/0.33
% 0.11/0.33 Model 2 (0.00 seconds, 0 Inserts)
% 0.11/0.33
% 0.11/0.33 Stopped by limit on number of solutions
% 0.11/0.33
% 0.11/0.33 Model 3 [ 1 1 49 ] (0.00 seconds, 5725 Inserts)
% 0.11/0.33
% 0.11/0.33 ----> UNIT CONFLICT at 0.02 sec ----> 12 [binary,11.1,8.1] {-} $F.
% 0.11/0.33
% 0.11/0.33 Length of proof is 3. Level of proof is 2.
% 0.11/0.33
% 0.11/0.33 ---------------- PROOF ----------------
% 0.11/0.33 % SZS status Unsatisfiable
% 0.11/0.33 % SZS output start Refutation
% 0.11/0.33
% 0.11/0.33 1 [] {+} c_UNITY_Ototalize(v_F,t_a)!=v_F| -c_UNITY_Oall__total(v_F,t_a).
% 0.11/0.33 2 [] {+} -c_UNITY_Oall__total(A,B)|c_UNITY_Ototalize(A,B)=A.
% 0.11/0.33 3 [] {+} c_UNITY_Oall__total(v_F,t_a)|c_UNITY_Ototalize(v_F,t_a)=v_F.
% 0.11/0.33 4 [] {+} c_UNITY_Oall__total(c_UNITY_Ototalize(A,B),B).
% 0.11/0.33 5 [] {+} A=A.
% 0.11/0.33 7,6 [hyper,3,2,factor_simp] {+} c_UNITY_Ototalize(v_F,t_a)=v_F.
% 0.11/0.33 8 [back_demod,1,demod,7,unit_del,5] {+} -c_UNITY_Oall__total(v_F,t_a).
% 0.11/0.33 11 [para_from,6.1.1,4.1.1] {-} c_UNITY_Oall__total(v_F,t_a).
% 0.11/0.33 12 [binary,11.1,8.1] {-} $F.
% 0.11/0.33
% 0.11/0.33 % SZS output end Refutation
% 0.11/0.33 ------------ end of proof -------------
% 0.11/0.33
% 0.11/0.33
% 0.11/0.33 Search stopped by max_proofs option.
% 0.11/0.33
% 0.11/0.33
% 0.11/0.33 Search stopped by max_proofs option.
% 0.11/0.33
% 0.11/0.33 ============ end of search ============
% 0.11/0.33
% 0.11/0.33 ----------- soft-scott stats ----------
% 0.11/0.33
% 0.11/0.33 true clauses given 1 (33.3%)
% 0.11/0.33 false clauses given 2
% 0.11/0.33
% 0.11/0.33 FALSE TRUE
% 0.11/0.33 3 0 2
% 0.11/0.33 9 0 1
% 0.11/0.33 tot: 0 3 (100.0% true)
% 0.11/0.33
% 0.11/0.33
% 0.11/0.33 Model 3 [ 1 1 49 ] (0.00 seconds, 5725 Inserts)
% 0.11/0.33
% 0.11/0.33 That finishes the proof of the theorem.
% 0.11/0.33
% 0.11/0.33 Process 25630 finished Thu Jun 16 17:28:45 2022
%------------------------------------------------------------------------------