TSTP Solution File: SWV403+1 by SOS---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SOS---2.0
% Problem  : SWV403+1 : TPTP v8.1.0. Released v3.3.0.
% 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 : Wed Jul 20 21:38:20 EDT 2022

% Result   : Theorem 8.57s 8.79s
% Output   : Refutation 8.57s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem  : SWV403+1 : TPTP v8.1.0. Released v3.3.0.
% 0.08/0.14  % Command  : sos-script %s
% 0.14/0.36  % Computer : n004.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit : 300
% 0.14/0.36  % WCLimit  : 600
% 0.14/0.36  % DateTime : Tue Jun 14 20:40:39 EDT 2022
% 0.14/0.36  % CPUTime  : 
% 0.14/0.38  ----- Otter 3.2, August 2001 -----
% 0.14/0.38  The process was started by sandbox on n004.cluster.edu,
% 0.14/0.38  Tue Jun 14 20:40:39 2022
% 0.14/0.38  The command was "./sos".  The process ID is 20946.
% 0.14/0.38  
% 0.14/0.38  set(prolog_style_variables).
% 0.14/0.38  set(auto).
% 0.14/0.38     dependent: set(auto1).
% 0.14/0.38     dependent: set(process_input).
% 0.14/0.38     dependent: clear(print_kept).
% 0.14/0.38     dependent: clear(print_new_demod).
% 0.14/0.38     dependent: clear(print_back_demod).
% 0.14/0.38     dependent: clear(print_back_sub).
% 0.14/0.38     dependent: set(control_memory).
% 0.14/0.38     dependent: assign(max_mem, 12000).
% 0.14/0.38     dependent: assign(pick_given_ratio, 4).
% 0.14/0.38     dependent: assign(stats_level, 1).
% 0.14/0.38     dependent: assign(pick_semantic_ratio, 3).
% 0.14/0.38     dependent: assign(sos_limit, 5000).
% 0.14/0.38     dependent: assign(max_weight, 60).
% 0.14/0.38  clear(print_given).
% 0.14/0.38  
% 0.14/0.38  formula_list(usable).
% 0.14/0.38  
% 0.14/0.38  SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=3.
% 0.14/0.38  
% 0.14/0.38  This ia a non-Horn set with equality.  The strategy will be
% 0.14/0.38  Knuth-Bendix, ordered hyper_res, ur_res, factoring, and
% 0.14/0.38  unit deletion, with positive clauses in sos and nonpositive
% 0.14/0.38  clauses in usable.
% 0.14/0.38  
% 0.14/0.38     dependent: set(knuth_bendix).
% 0.14/0.38     dependent: set(para_from).
% 0.14/0.38     dependent: set(para_into).
% 0.14/0.38     dependent: clear(para_from_right).
% 0.14/0.38     dependent: clear(para_into_right).
% 0.14/0.38     dependent: set(para_from_vars).
% 0.14/0.38     dependent: set(eq_units_both_ways).
% 0.14/0.38     dependent: set(dynamic_demod_all).
% 0.14/0.38     dependent: set(dynamic_demod).
% 0.14/0.38     dependent: set(order_eq).
% 0.14/0.38     dependent: set(back_demod).
% 0.14/0.38     dependent: set(lrpo).
% 0.14/0.38     dependent: set(hyper_res).
% 0.14/0.38     dependent: set(unit_deletion).
% 0.14/0.38     dependent: set(factor).
% 0.14/0.38  
% 0.14/0.38  ------------> process usable:
% 0.14/0.38  
% 0.14/0.38  ------------> process sos:
% 0.14/0.38    Following clause subsumed by 34 during input processing: 0 [copy,34,flip.1] {-} A=A.
% 0.14/0.38  
% 0.14/0.38  ======= end of input processing =======
% 0.21/0.45  
% 0.21/0.45  
% 0.21/0.45  Failed to model usable list: disabling FINDER
% 0.21/0.45  
% 0.21/0.45  
% 0.21/0.45  
% 0.21/0.45  -------------- Softie stats --------------
% 0.21/0.45  
% 0.21/0.45  UPDATE_STOP: 300
% 0.21/0.45  SFINDER_TIME_LIMIT: 2
% 0.21/0.45  SHORT_CLAUSE_CUTOFF: 4
% 0.21/0.45  number of clauses in intial UL: 21
% 0.21/0.45  number of clauses initially in problem: 34
% 0.21/0.45  percentage of clauses intially in UL: 61
% 0.21/0.45  percentage of distinct symbols occuring in initial UL: 89
% 0.21/0.45  percent of all initial clauses that are short: 100
% 0.21/0.45  absolute distinct symbol count: 19
% 0.21/0.45     distinct predicate count: 6
% 0.21/0.45     distinct function count: 5
% 0.21/0.45     distinct constant count: 8
% 0.21/0.45  
% 0.21/0.45  ---------- no more Softie stats ----------
% 0.21/0.45  
% 0.21/0.45  
% 0.21/0.45  
% 0.21/0.45  =========== start of search ===========
% 4.78/4.95  
% 4.78/4.95  
% 4.78/4.95  Changing weight limit from 60 to 32.
% 4.78/4.95  
% 4.78/4.95  Resetting weight limit to 32 after 150 givens.
% 4.78/4.95  
% 6.43/6.64  
% 6.43/6.64  
% 6.43/6.64  Changing weight limit from 32 to 28.
% 6.43/6.64  
% 6.43/6.64  Resetting weight limit to 28 after 155 givens.
% 6.43/6.64  
% 7.34/7.58  
% 7.34/7.58  
% 7.34/7.58  Changing weight limit from 28 to 27.
% 7.34/7.58  
% 7.34/7.58  Resetting weight limit to 27 after 170 givens.
% 7.34/7.58  
% 8.57/8.79  
% 8.57/8.79  -------- PROOF -------- 
% 8.57/8.79  % SZS status Theorem
% 8.57/8.79  % SZS output start Refutation
% 8.57/8.79  
% 8.57/8.79  ----> UNIT CONFLICT at   8.38 sec ----> 9842 [binary,9841.1,2968.1] {-} $F.
% 8.57/8.79  
% 8.57/8.79  Length of proof is 14.  Level of proof is 9.
% 8.57/8.79  
% 8.57/8.79  ---------------- PROOF ----------------
% 8.57/8.79  % SZS status Theorem
% 8.57/8.79  % SZS output start Refutation
% 8.57/8.79  
% 8.57/8.79  4 [] {+} strictly_less_than(A,B)| -less_than(A,B)|less_than(B,A).
% 8.57/8.79  11 [] {+} -pair_in_list(insert_slb(A,pair(B,C)),D,E)|pair_in_list(A,D,E)|B=D.
% 8.57/8.79  12 [] {+} -pair_in_list(insert_slb(A,pair(B,C)),D,E)|pair_in_list(A,D,E)|C=E.
% 8.57/8.79  13 [] {+} pair_in_list(insert_slb(A,pair(B,C)),D,E)| -pair_in_list(A,D,E).
% 8.57/8.79  14 [] {+} pair_in_list(insert_slb(A,pair(B,C)),D,E)|B!=D|C!=E.
% 8.57/8.79  17 [] {+} -strictly_less_than(A,B)|update_slb(insert_slb(C,pair(D,A)),B)=insert_slb(update_slb(C,B),pair(D,B)).
% 8.57/8.79  18 [] {+} -less_than(A,B)|update_slb(insert_slb(C,pair(D,B)),A)=insert_slb(update_slb(C,A),pair(D,B)).
% 8.57/8.79  19 [] {+} -pair_in_list($c6,A,B)| -strictly_less_than(B,C)|pair_in_list(update_slb($c6,C),A,C).
% 8.57/8.79  20 [] {+} -pair_in_list(update_slb(insert_slb($c6,pair($c2,$c1)),$c3),$c5,$c3).
% 8.57/8.79  22 [] {-} less_than(A,B)|less_than(B,A).
% 8.57/8.79  32 [] {-} pair_in_list(insert_slb($c6,pair($c2,$c1)),$c5,$c4).
% 8.57/8.79  33 [] {-} strictly_less_than($c4,$c3).
% 8.57/8.79  34 [] {-} A=A.
% 8.57/8.79  36 [hyper,22,4,factor_simp] {-} less_than(A,B)|strictly_less_than(B,A).
% 8.57/8.79  61 [hyper,34,14,34] {-} pair_in_list(insert_slb(A,pair(B,C)),B,C).
% 8.57/8.79  96 [hyper,36,17] {-} less_than(A,B)|update_slb(insert_slb(C,pair(D,B)),A)=insert_slb(update_slb(C,A),pair(D,A)).
% 8.57/8.79  141 [hyper,32,12,flip.2] {-} pair_in_list($c6,$c5,$c4)|$c4=$c1.
% 8.57/8.79  142 [hyper,32,11,flip.2] {-} pair_in_list($c6,$c5,$c4)|$c5=$c2.
% 8.57/8.79  225 [para_from,141.2.1,33.1.1] {-} strictly_less_than($c1,$c3)|pair_in_list($c6,$c5,$c4).
% 8.57/8.79  261 [para_from,142.2.1,20.1.2] {-} -pair_in_list(update_slb(insert_slb($c6,pair($c2,$c1)),$c3),$c2,$c3)|pair_in_list($c6,$c5,$c4).
% 8.57/8.79  2844 [para_into,261.1.1,17.2.1,unit_del,61] {-} pair_in_list($c6,$c5,$c4)| -strictly_less_than($c1,$c3).
% 8.57/8.79  2940 [hyper,2844,225,factor_simp] {-} pair_in_list($c6,$c5,$c4).
% 8.57/8.79  2942 [hyper,2940,19,33] {-} pair_in_list(update_slb($c6,$c3),$c5,$c3).
% 8.57/8.79  2968 [hyper,2942,13] {-} pair_in_list(insert_slb(update_slb($c6,$c3),pair(A,B)),$c5,$c3).
% 8.57/8.79  9806 [para_from,96.2.1,20.1.1,unit_del,2968] {-} less_than($c3,$c1).
% 8.57/8.79  9808,9807 [hyper,9806,18] {-} update_slb(insert_slb(A,pair(B,$c1)),$c3)=insert_slb(update_slb(A,$c3),pair(B,$c1)).
% 8.57/8.79  9841 [back_demod,20,demod,9808] {-} -pair_in_list(insert_slb(update_slb($c6,$c3),pair($c2,$c1)),$c5,$c3).
% 8.57/8.79  9842 [binary,9841.1,2968.1] {-} $F.
% 8.57/8.79  
% 8.57/8.79  % SZS output end Refutation
% 8.57/8.79  ------------ end of proof -------------
% 8.57/8.79  
% 8.57/8.79  
% 8.57/8.79  Search stopped by max_proofs option.
% 8.57/8.79  
% 8.57/8.79  
% 8.57/8.79  Search stopped by max_proofs option.
% 8.57/8.79  
% 8.57/8.79  ============ end of search ============
% 8.57/8.79  
% 8.57/8.79  That finishes the proof of the theorem.
% 8.57/8.79  
% 8.57/8.79  Process 20946 finished Tue Jun 14 20:40:47 2022
%------------------------------------------------------------------------------