TSTP Solution File: ANA018-2 by SOS---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : ANA018-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : sos-script %s
% Computer : n012.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 19:27:45 EDT 2022
% Result : Unsatisfiable 0.45s 0.69s
% Output : Refutation 0.45s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : ANA018-2 : TPTP v8.1.0. Released v3.2.0.
% 0.12/0.12 % Command : sos-script %s
% 0.12/0.33 % Computer : n012.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 02:56:59 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.35 ----- Otter 3.2, August 2001 -----
% 0.18/0.35 The process was started by sandbox on n012.cluster.edu,
% 0.18/0.35 Fri Jul 8 02:56:59 2022
% 0.18/0.35 The command was "./sos". The process ID is 15744.
% 0.18/0.35
% 0.18/0.35 set(prolog_style_variables).
% 0.18/0.35 set(auto).
% 0.18/0.35 dependent: set(auto1).
% 0.18/0.35 dependent: set(process_input).
% 0.18/0.35 dependent: clear(print_kept).
% 0.18/0.35 dependent: clear(print_new_demod).
% 0.18/0.35 dependent: clear(print_back_demod).
% 0.18/0.35 dependent: clear(print_back_sub).
% 0.18/0.35 dependent: set(control_memory).
% 0.18/0.35 dependent: assign(max_mem, 12000).
% 0.18/0.35 dependent: assign(pick_given_ratio, 4).
% 0.18/0.35 dependent: assign(stats_level, 1).
% 0.18/0.35 dependent: assign(pick_semantic_ratio, 3).
% 0.18/0.35 dependent: assign(sos_limit, 5000).
% 0.18/0.35 dependent: assign(max_weight, 60).
% 0.18/0.35 clear(print_given).
% 0.18/0.35
% 0.18/0.35 list(usable).
% 0.18/0.35
% 0.18/0.35 SCAN INPUT: prop=0, horn=1, equality=1, symmetry=0, max_lits=4.
% 0.18/0.35
% 0.18/0.35 This is a Horn set with equality. The strategy will be
% 0.18/0.35 Knuth-Bendix and hyper_res, with positive clauses in
% 0.18/0.35 sos and nonpositive clauses in usable.
% 0.18/0.35
% 0.18/0.35 dependent: set(knuth_bendix).
% 0.18/0.35 dependent: set(para_from).
% 0.18/0.35 dependent: set(para_into).
% 0.18/0.35 dependent: clear(para_from_right).
% 0.18/0.35 dependent: clear(para_into_right).
% 0.18/0.35 dependent: set(para_from_vars).
% 0.18/0.35 dependent: set(eq_units_both_ways).
% 0.18/0.35 dependent: set(dynamic_demod_all).
% 0.18/0.35 dependent: set(dynamic_demod).
% 0.18/0.35 dependent: set(order_eq).
% 0.18/0.35 dependent: set(back_demod).
% 0.18/0.35 dependent: set(lrpo).
% 0.18/0.35 dependent: set(hyper_res).
% 0.18/0.35 dependent: clear(order_hyper).
% 0.18/0.35
% 0.18/0.35 ------------> process usable:
% 0.18/0.35
% 0.18/0.35 ------------> process sos:
% 0.18/0.35 Following clause subsumed by 14 during input processing: 0 [copy,14,flip.1] {-} A=A.
% 0.18/0.35
% 0.18/0.35 ======= end of input processing =======
% 0.18/0.37
% 0.18/0.37 Model 1 (0.00 seconds, 0 Inserts)
% 0.18/0.37
% 0.18/0.37 Stopped by limit on number of solutions
% 0.18/0.37
% 0.18/0.37
% 0.18/0.37 -------------- Softie stats --------------
% 0.18/0.37
% 0.18/0.37 UPDATE_STOP: 300
% 0.18/0.37 SFINDER_TIME_LIMIT: 2
% 0.18/0.37 SHORT_CLAUSE_CUTOFF: 4
% 0.18/0.37 number of clauses in intial UL: 9
% 0.18/0.37 number of clauses initially in problem: 14
% 0.18/0.37 percentage of clauses intially in UL: 64
% 0.18/0.37 percentage of distinct symbols occuring in initial UL: 94
% 0.18/0.37 percent of all initial clauses that are short: 92
% 0.18/0.37 absolute distinct symbol count: 18
% 0.18/0.37 distinct predicate count: 8
% 0.18/0.37 distinct function count: 5
% 0.18/0.37 distinct constant count: 5
% 0.18/0.37
% 0.18/0.37 ---------- no more Softie stats ----------
% 0.18/0.37
% 0.18/0.37
% 0.18/0.37
% 0.18/0.37 =========== start of search ===========
% 0.45/0.69
% 0.45/0.69 -------- PROOF --------
% 0.45/0.69 % SZS status Unsatisfiable
% 0.45/0.69 % SZS output start Refutation
% 0.45/0.69
% 0.45/0.69 Model 2 (0.00 seconds, 0 Inserts)
% 0.45/0.69
% 0.45/0.69 Stopped by limit on number of solutions
% 0.45/0.69
% 0.45/0.69 Stopped by limit on insertions
% 0.45/0.69
% 0.45/0.69 Model 3 [ 1 1 813 ] (0.00 seconds, 250000 Inserts)
% 0.45/0.69
% 0.45/0.69 Stopped by limit on insertions
% 0.45/0.69
% 0.45/0.69 Model 4 [ 1 1 960 ] (0.00 seconds, 250000 Inserts)
% 0.45/0.69
% 0.45/0.69 Stopped by limit on insertions
% 0.45/0.69
% 0.45/0.69 Model 5 [ 1 0 383 ] (0.00 seconds, 250000 Inserts)
% 0.45/0.69
% 0.45/0.69 Model 6 (0.00 seconds, 250000 Inserts)
% 0.45/0.69
% 0.45/0.69 Stopped by limit on number of solutions
% 0.45/0.69
% 0.45/0.69 ----> UNIT CONFLICT at 0.32 sec ----> 31 [binary,30.1,21.1] {-} $F.
% 0.45/0.69
% 0.45/0.69 Length of proof is 9. Level of proof is 5.
% 0.45/0.69
% 0.45/0.69 ---------------- PROOF ----------------
% 0.45/0.69 % SZS status Unsatisfiable
% 0.45/0.69 % SZS output start Refutation
% 0.45/0.69
% 0.45/0.69 1 [] {+} -c_lessequals(c_HOL_Oabs(v_x(v_xa),t_b),c_times(c_times(v_ca,v_c,t_b),c_HOL_Oabs(v_g(v_xa),t_b),t_b),t_b).
% 0.45/0.69 2 [] {+} -class_OrderedGroup_Osemigroup__mult(A)|c_times(c_times(B,C,A),D,A)=c_times(B,c_times(C,D,A),A).
% 0.45/0.69 3 [] {+} -class_Orderings_Oorder(A)| -c_lessequals(B,C,A)| -c_lessequals(D,B,A)|c_lessequals(D,C,A).
% 0.45/0.69 4 [] {+} -class_Orderings_Oorder(A)| -c_less(B,C,A)|c_lessequals(B,C,A).
% 0.45/0.69 5 [] {+} -class_Ring__and__Field_Opordered__semiring(A)| -c_lessequals(B,C,A)| -c_lessequals(c_0,D,A)|c_lessequals(c_times(D,B,A),c_times(D,C,A),A).
% 0.45/0.69 6 [] {+} -class_LOrder_Ojoin__semilorder(A)|class_Orderings_Oorder(A).
% 0.45/0.69 7 [] {+} -class_Ring__and__Field_Oordered__idom(A)|class_OrderedGroup_Osemigroup__mult(A).
% 0.45/0.69 8 [] {+} -class_Ring__and__Field_Oordered__idom(A)|class_LOrder_Ojoin__semilorder(A).
% 0.45/0.69 9 [] {+} -class_Ring__and__Field_Oordered__idom(A)|class_Ring__and__Field_Opordered__semiring(A).
% 0.45/0.69 10 [] {+} c_lessequals(c_HOL_Oabs(v_f(A),t_b),c_times(v_c,c_HOL_Oabs(v_g(A),t_b),t_b),t_b).
% 0.45/0.69 11 [] {+} c_less(c_0,v_ca,t_b).
% 0.45/0.69 12 [] {-} c_lessequals(c_HOL_Oabs(v_x(A),t_b),c_times(v_ca,c_HOL_Oabs(v_f(A),t_b),t_b),t_b).
% 0.45/0.69 13 [] {+} class_Ring__and__Field_Oordered__idom(t_b).
% 0.45/0.69 15 [hyper,13,9] {+} class_Ring__and__Field_Opordered__semiring(t_b).
% 0.45/0.69 16 [hyper,13,8] {+} class_LOrder_Ojoin__semilorder(t_b).
% 0.45/0.69 17 [hyper,13,7] {+} class_OrderedGroup_Osemigroup__mult(t_b).
% 0.45/0.69 18 [hyper,16,6] {+} class_Orderings_Oorder(t_b).
% 0.45/0.69 20,19 [hyper,17,2] {+} c_times(c_times(A,B,t_b),C,t_b)=c_times(A,c_times(B,C,t_b),t_b).
% 0.45/0.69 21 [back_demod,1,demod,20] {+} -c_lessequals(c_HOL_Oabs(v_x(v_xa),t_b),c_times(v_ca,c_times(v_c,c_HOL_Oabs(v_g(v_xa),t_b),t_b),t_b),t_b).
% 0.45/0.69 22 [hyper,18,4,11] {+} c_lessequals(c_0,v_ca,t_b).
% 0.45/0.69 25 [hyper,22,5,15,10] {-} c_lessequals(c_times(v_ca,c_HOL_Oabs(v_f(A),t_b),t_b),c_times(v_ca,c_times(v_c,c_HOL_Oabs(v_g(A),t_b),t_b),t_b),t_b).
% 0.45/0.69 30 [hyper,25,3,18,12] {-} c_lessequals(c_HOL_Oabs(v_x(A),t_b),c_times(v_ca,c_times(v_c,c_HOL_Oabs(v_g(A),t_b),t_b),t_b),t_b).
% 0.45/0.69 31 [binary,30.1,21.1] {-} $F.
% 0.45/0.69
% 0.45/0.69 % SZS output end Refutation
% 0.45/0.69 ------------ end of proof -------------
% 0.45/0.69
% 0.45/0.69
% 0.45/0.69 Search stopped by max_proofs option.
% 0.45/0.69
% 0.45/0.69
% 0.45/0.69 Search stopped by max_proofs option.
% 0.45/0.69
% 0.45/0.69 ============ end of search ============
% 0.45/0.69
% 0.45/0.69 ----------- soft-scott stats ----------
% 0.45/0.69
% 0.45/0.69 true clauses given 6 (42.9%)
% 0.45/0.69 false clauses given 8
% 0.45/0.69
% 0.45/0.69 FALSE TRUE
% 0.45/0.69 16 0 2
% 0.45/0.69 25 1 0
% 0.45/0.69 29 0 1
% 0.45/0.69 tot: 1 3 (75.0% true)
% 0.45/0.69
% 0.45/0.69
% 0.45/0.69 Model 6 (0.00 seconds, 250000 Inserts)
% 0.45/0.69
% 0.45/0.69 That finishes the proof of the theorem.
% 0.45/0.69
% 0.45/0.69 Process 15744 finished Fri Jul 8 02:57:00 2022
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