TSTP Solution File: KLE074+1 by SOS---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SOS---2.0
% Problem  : KLE074+1 : TPTP v8.1.0. Released v4.0.0.
% 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 : Sun Jul 17 02:27:26 EDT 2022

% Result   : Theorem 0.21s 0.46s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : KLE074+1 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13  % Command  : sos-script %s
% 0.13/0.35  % Computer : n004.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 600
% 0.13/0.35  % DateTime : Thu Jun 16 09:30:24 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.13/0.37  ----- Otter 3.2, August 2001 -----
% 0.13/0.37  The process was started by sandbox2 on n004.cluster.edu,
% 0.13/0.37  Thu Jun 16 09:30:24 2022
% 0.13/0.37  The command was "./sos".  The process ID is 3595.
% 0.13/0.37  
% 0.13/0.37  set(prolog_style_variables).
% 0.13/0.37  set(auto).
% 0.13/0.37     dependent: set(auto1).
% 0.13/0.37     dependent: set(process_input).
% 0.13/0.37     dependent: clear(print_kept).
% 0.13/0.37     dependent: clear(print_new_demod).
% 0.13/0.37     dependent: clear(print_back_demod).
% 0.13/0.37     dependent: clear(print_back_sub).
% 0.13/0.37     dependent: set(control_memory).
% 0.13/0.37     dependent: assign(max_mem, 12000).
% 0.13/0.37     dependent: assign(pick_given_ratio, 4).
% 0.13/0.37     dependent: assign(stats_level, 1).
% 0.13/0.37     dependent: assign(pick_semantic_ratio, 3).
% 0.13/0.37     dependent: assign(sos_limit, 5000).
% 0.13/0.37     dependent: assign(max_weight, 60).
% 0.13/0.37  clear(print_given).
% 0.13/0.37  
% 0.13/0.37  formula_list(usable).
% 0.13/0.37  
% 0.13/0.37  SCAN INPUT: prop=0, horn=1, equality=1, symmetry=0, max_lits=2.
% 0.13/0.37  
% 0.13/0.37  This is a Horn set with equality.  The strategy will be
% 0.13/0.37  Knuth-Bendix and hyper_res, with positive clauses in
% 0.13/0.37  sos and nonpositive clauses in usable.
% 0.13/0.37  
% 0.13/0.37     dependent: set(knuth_bendix).
% 0.13/0.37     dependent: set(para_from).
% 0.13/0.37     dependent: set(para_into).
% 0.13/0.37     dependent: clear(para_from_right).
% 0.13/0.37     dependent: clear(para_into_right).
% 0.13/0.37     dependent: set(para_from_vars).
% 0.13/0.37     dependent: set(eq_units_both_ways).
% 0.13/0.37     dependent: set(dynamic_demod_all).
% 0.13/0.37     dependent: set(dynamic_demod).
% 0.13/0.37     dependent: set(order_eq).
% 0.13/0.37     dependent: set(back_demod).
% 0.13/0.37     dependent: set(lrpo).
% 0.13/0.37     dependent: set(hyper_res).
% 0.13/0.37     dependent: clear(order_hyper).
% 0.13/0.37  
% 0.13/0.37  ------------> process usable:
% 0.13/0.37  
% 0.13/0.37  ------------> process sos:
% 0.13/0.37    Following clause subsumed by 5 during input processing: 0 [copy,5,flip.1] {-} addition(A,B)=addition(B,A).
% 0.13/0.37    Following clause subsumed by 39 during input processing: 0 [copy,39,flip.1] {-} A=A.
% 0.13/0.37  
% 0.13/0.37  ======= end of input processing =======
% 0.21/0.41  
% 0.21/0.41  Model 1 (0.00 seconds, 0 Inserts)
% 0.21/0.41  
% 0.21/0.41  Stopped by limit on number of solutions
% 0.21/0.41  
% 0.21/0.41  
% 0.21/0.41  -------------- Softie stats --------------
% 0.21/0.41  
% 0.21/0.41  UPDATE_STOP: 300
% 0.21/0.41  SFINDER_TIME_LIMIT: 2
% 0.21/0.41  SHORT_CLAUSE_CUTOFF: 4
% 0.21/0.41  number of clauses in intial UL: 2
% 0.21/0.41  number of clauses initially in problem: 35
% 0.21/0.41  percentage of clauses intially in UL: 5
% 0.21/0.41  percentage of distinct symbols occuring in initial UL: 30
% 0.21/0.41  percent of all initial clauses that are short: 100
% 0.21/0.41  absolute distinct symbol count: 10
% 0.21/0.41     distinct predicate count: 2
% 0.21/0.41     distinct function count: 3
% 0.21/0.41     distinct constant count: 5
% 0.21/0.41  
% 0.21/0.41  ---------- no more Softie stats ----------
% 0.21/0.41  
% 0.21/0.41  
% 0.21/0.41  
% 0.21/0.41  Model 2 (0.00 seconds, 0 Inserts)
% 0.21/0.41  
% 0.21/0.41  Stopped by limit on number of solutions
% 0.21/0.41  
% 0.21/0.41  =========== start of search ===========
% 0.21/0.46  
% 0.21/0.46  -------- PROOF -------- 
% 0.21/0.46  % SZS status Theorem
% 0.21/0.46  % SZS output start Refutation
% 0.21/0.46  
% 0.21/0.46  Model 3 (0.00 seconds, 0 Inserts)
% 0.21/0.46  
% 0.21/0.46  Stopped by limit on number of solutions
% 0.21/0.46  
% 0.21/0.46  Model 4 (0.00 seconds, 0 Inserts)
% 0.21/0.46  
% 0.21/0.46  Stopped by limit on number of solutions
% 0.21/0.46  
% 0.21/0.46  Model 5 (0.00 seconds, 0 Inserts)
% 0.21/0.46  
% 0.21/0.46  Stopped by limit on number of solutions
% 0.21/0.46  
% 0.21/0.46  Model 6 (0.00 seconds, 0 Inserts)
% 0.21/0.46  
% 0.21/0.46  Stopped by limit on number of solutions
% 0.21/0.46  
% 0.21/0.46  Model 7 (0.00 seconds, 0 Inserts)
% 0.21/0.46  
% 0.21/0.46  Stopped by limit on number of solutions
% 0.21/0.46  
% 0.21/0.46  Model 8 (0.00 seconds, 0 Inserts)
% 0.21/0.46  
% 0.21/0.46  Stopped by limit on number of solutions
% 0.21/0.46  
% 0.21/0.46  Model 9 (0.00 seconds, 0 Inserts)
% 0.21/0.46  
% 0.21/0.46  Stopped by limit on number of solutions
% 0.21/0.46  
% 0.21/0.46  Model 10 (0.00 seconds, 0 Inserts)
% 0.21/0.46  
% 0.21/0.46  Stopped by limit on number of solutions
% 0.21/0.46  
% 0.21/0.46  ----> UNIT CONFLICT at   0.07 sec ----> 68 [binary,66.1,40.1] {-} $F.
% 0.21/0.46  
% 0.21/0.46  Length of proof is 5.  Level of proof is 2.
% 0.21/0.46  
% 0.21/0.46  ---------------- PROOF ----------------
% 0.21/0.46  % SZS status Theorem
% 0.21/0.46  % SZS output start Refutation
% 0.21/0.46  
% 0.21/0.46  3 [] {-} domain(multiplication(multiplication($c3,$c2),domain($c1)))!=domain(multiplication($c3,domain(multiplication($c2,domain($c1))))).
% 0.21/0.46  4 [copy,3,flip.1] {-} domain(multiplication($c3,domain(multiplication($c2,domain($c1)))))!=domain(multiplication(multiplication($c3,$c2),domain($c1))).
% 0.21/0.46  13 [] {-} multiplication(A,multiplication(B,C))=multiplication(multiplication(A,B),C).
% 0.21/0.46  15,14 [copy,13,flip.1] {+} multiplication(multiplication(A,B),C)=multiplication(A,multiplication(B,C)).
% 0.21/0.46  30 [] {-} domain(multiplication(A,B))=domain(multiplication(A,domain(B))).
% 0.21/0.46  32,31 [copy,30,flip.1] {-} domain(multiplication(A,domain(B)))=domain(multiplication(A,B)).
% 0.21/0.46  40 [back_demod,4,demod,32,32,15,flip.1] {-} domain(multiplication($c3,multiplication($c2,domain($c1))))!=domain(multiplication($c3,multiplication($c2,$c1))).
% 0.21/0.46  66 [para_into,31.1.1.1.2,31.1.1,demod,32,flip.1] {-} domain(multiplication(A,multiplication(B,domain(C))))=domain(multiplication(A,multiplication(B,C))).
% 0.21/0.46  68 [binary,66.1,40.1] {-} $F.
% 0.21/0.46  
% 0.21/0.46  % SZS output end Refutation
% 0.21/0.46  ------------ end of proof -------------
% 0.21/0.46  
% 0.21/0.46  
% 0.21/0.46  Search stopped by max_proofs option.
% 0.21/0.46  
% 0.21/0.46  
% 0.21/0.46  Search stopped by max_proofs option.
% 0.21/0.46  
% 0.21/0.46  ============ end of search ============
% 0.21/0.46  
% 0.21/0.46  ----------- soft-scott stats ----------
% 0.21/0.46  
% 0.21/0.46  true clauses given           5      (33.3%)
% 0.21/0.46  false clauses given         10
% 0.21/0.46  
% 0.21/0.46        FALSE     TRUE
% 0.21/0.46     3  0         1
% 0.21/0.46     4  0         1
% 0.21/0.46     6  0         4
% 0.21/0.46     8  0         2
% 0.21/0.46     9  0         1
% 0.21/0.46    10  0         2
% 0.21/0.46    11  1         4
% 0.21/0.46    12  0         3
% 0.21/0.46    13  0         2
% 0.21/0.46    14  1         0
% 0.21/0.46  tot:  2         20      (90.9% true)
% 0.21/0.46  
% 0.21/0.46  
% 0.21/0.46  Model 10 (0.00 seconds, 0 Inserts)
% 0.21/0.46  
% 0.21/0.46  That finishes the proof of the theorem.
% 0.21/0.46  
% 0.21/0.46  Process 3595 finished Thu Jun 16 09:30:24 2022
%------------------------------------------------------------------------------