%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : ANA007-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : sos-script %s
% Computer : n008.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 : Thu Jul 14 19:27:37 EDT 2022
% Result : Unsatisfiable 0.57s 0.77s
% Output : Refutation 0.57s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : ANA007-2 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.12 % Command : sos-script %s
% 0.12/0.33 % Computer : n008.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Fri Jul 8 06:54:08 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.35 ----- Otter 3.2, August 2001 -----
% 0.12/0.35 The process was started by sandbox2 on n008.cluster.edu,
% 0.12/0.35 Fri Jul 8 06:54:08 2022
% 0.12/0.35 The command was "./sos". The process ID is 23474.
% 0.12/0.35
% 0.12/0.35 set(prolog_style_variables).
% 0.12/0.35 set(auto).
% 0.12/0.35 dependent: set(auto1).
% 0.12/0.35 dependent: set(process_input).
% 0.12/0.35 dependent: clear(print_kept).
% 0.12/0.35 dependent: clear(print_new_demod).
% 0.12/0.35 dependent: clear(print_back_demod).
% 0.12/0.35 dependent: clear(print_back_sub).
% 0.12/0.35 dependent: set(control_memory).
% 0.12/0.35 dependent: assign(max_mem, 12000).
% 0.12/0.35 dependent: assign(pick_given_ratio, 4).
% 0.12/0.35 dependent: assign(stats_level, 1).
% 0.12/0.35 dependent: assign(pick_semantic_ratio, 3).
% 0.12/0.35 dependent: assign(sos_limit, 5000).
% 0.12/0.35 dependent: assign(max_weight, 60).
% 0.12/0.35 clear(print_given).
% 0.12/0.35
% 0.12/0.35 list(usable).
% 0.12/0.35
% 0.12/0.35 SCAN INPUT: prop=0, horn=1, equality=1, symmetry=0, max_lits=2.
% 0.12/0.35
% 0.12/0.35 This is a Horn set with equality. The strategy will be
% 0.12/0.35 Knuth-Bendix and hyper_res, with positive clauses in
% 0.12/0.35 sos and nonpositive clauses in usable.
% 0.12/0.35
% 0.12/0.35 dependent: set(knuth_bendix).
% 0.12/0.35 dependent: set(para_from).
% 0.12/0.35 dependent: set(para_into).
% 0.12/0.35 dependent: clear(para_from_right).
% 0.12/0.35 dependent: clear(para_into_right).
% 0.12/0.35 dependent: set(para_from_vars).
% 0.12/0.35 dependent: set(eq_units_both_ways).
% 0.12/0.35 dependent: set(dynamic_demod_all).
% 0.12/0.35 dependent: set(dynamic_demod).
% 0.12/0.35 dependent: set(order_eq).
% 0.12/0.35 dependent: set(back_demod).
% 0.12/0.35 dependent: set(lrpo).
% 0.12/0.35 dependent: set(hyper_res).
% 0.12/0.35 dependent: clear(order_hyper).
% 0.12/0.35
% 0.12/0.35 ------------> process usable:
% 0.12/0.35
% 0.12/0.35 ------------> process sos:
% 0.12/0.35 Following clause subsumed by 7 during input processing: 0 [copy,7,flip.1] {-} A=A.
% 0.12/0.35
% 0.12/0.35 ======= end of input processing =======
% 0.18/0.51
% 0.18/0.51 Model 1 (0.00 seconds, 0 Inserts)
% 0.18/0.51
% 0.18/0.51 Stopped by limit on number of solutions
% 0.18/0.51
% 0.18/0.51
% 0.18/0.51 -------------- Softie stats --------------
% 0.18/0.51
% 0.18/0.51 UPDATE_STOP: 300
% 0.18/0.51 SFINDER_TIME_LIMIT: 2
% 0.18/0.51 SHORT_CLAUSE_CUTOFF: 4
% 0.18/0.51 number of clauses in intial UL: 4
% 0.18/0.51 number of clauses initially in problem: 6
% 0.18/0.51 percentage of clauses intially in UL: 66
% 0.18/0.51 percentage of distinct symbols occuring in initial UL: 100
% 0.18/0.51 percent of all initial clauses that are short: 83
% 0.18/0.51 absolute distinct symbol count: 10
% 0.18/0.51 distinct predicate count: 4
% 0.18/0.51 distinct function count: 4
% 0.18/0.51 distinct constant count: 2
% 0.18/0.51
% 0.18/0.51 ---------- no more Softie stats ----------
% 0.18/0.51
% 0.18/0.51
% 0.18/0.51
% 0.18/0.51 Stopped by limit on insertions
% 0.18/0.51
% 0.18/0.51 =========== start of search ===========
% 0.57/0.77
% 0.57/0.77 -------- PROOF --------
% 0.57/0.77 % SZS status Unsatisfiable
% 0.57/0.77 % SZS output start Refutation
% 0.57/0.77
% 0.57/0.77 Stopped by limit on insertions
% 0.57/0.77
% 0.57/0.77 Model 2 [ 1 1 5542 ] (0.00 seconds, 250000 Inserts)
% 0.57/0.77
% 0.57/0.77 Stopped by limit on insertions
% 0.57/0.77
% 0.57/0.77 Model 3 [ 2 0 122 ] (0.00 seconds, 250000 Inserts)
% 0.57/0.77
% 0.57/0.77 ----> UNIT CONFLICT at 0.39 sec ----> 13 [binary,12.1,11.1] {-} $F.
% 0.57/0.77
% 0.57/0.77 Length of proof is 5. Level of proof is 3.
% 0.57/0.77
% 0.57/0.77 ---------------- PROOF ----------------
% 0.57/0.77 % SZS status Unsatisfiable
% 0.57/0.77 % SZS output start Refutation
% 0.57/0.77
% 0.57/0.77 1 [] {+} -c_lessequals(c_HOL_Oabs(v_f(v_x(A)),t_b),c_times(A,c_HOL_Oabs(v_f(v_x(A)),t_b),t_b),t_b).
% 0.57/0.77 2 [] {+} -class_Orderings_Oorder(A)|c_lessequals(B,B,A).
% 0.57/0.77 3 [] {-} -class_Ring__and__Field_Oordered__idom(A)|B=c_times(c_1,B,A).
% 0.57/0.77 4 [copy,3,flip.2] {+} -class_Ring__and__Field_Oordered__idom(A)|c_times(c_1,B,A)=B.
% 0.57/0.77 5 [] {+} -class_Ring__and__Field_Oordered__idom(A)|class_Orderings_Oorder(A).
% 0.57/0.77 6 [] {-} class_Ring__and__Field_Oordered__idom(t_b).
% 0.57/0.77 8 [hyper,6,5] {+} class_Orderings_Oorder(t_b).
% 0.57/0.77 9 [hyper,6,4] {+} c_times(c_1,A,t_b)=A.
% 0.57/0.77 11 [hyper,8,2] {-} c_lessequals(A,A,t_b).
% 0.57/0.77 12 [para_from,9.1.1,1.1.2] {-} -c_lessequals(c_HOL_Oabs(v_f(v_x(c_1)),t_b),c_HOL_Oabs(v_f(v_x(c_1)),t_b),t_b).
% 0.57/0.77 13 [binary,12.1,11.1] {-} $F.
% 0.57/0.77
% 0.57/0.77 % SZS output end Refutation
% 0.57/0.77 ------------ end of proof -------------
% 0.57/0.77
% 0.57/0.77
% 0.57/0.77 Search stopped by max_proofs option.
% 0.57/0.77
% 0.57/0.77
% 0.57/0.77 Search stopped by max_proofs option.
% 0.57/0.77
% 0.57/0.77 ============ end of search ============
% 0.57/0.77
% 0.57/0.77 ----------- soft-scott stats ----------
% 0.57/0.77
% 0.57/0.77 true clauses given 0 (0.0%)
% 0.57/0.77 false clauses given 3
% 0.57/0.77
% 0.57/0.77 FALSE TRUE
% 0.57/0.77 3 0 1
% 0.57/0.77 4 1 0
% 0.57/0.77 tot: 1 1 (50.0% true)
% 0.57/0.77
% 0.57/0.77
% 0.57/0.77 Model 3 [ 2 0 122 ] (0.00 seconds, 250000 Inserts)
% 0.57/0.77
% 0.57/0.77 That finishes the proof of the theorem.
% 0.57/0.77
% 0.57/0.77 Process 23474 finished Fri Jul 8 06:54:08 2022
%------------------------------------------------------------------------------