TSTP Solution File: SET891+1 by SOS---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SOS---2.0
% Problem  : SET891+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : sos-script %s

% Computer : n007.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 : Tue Jul 19 05:21:37 EDT 2022

% Result   : Theorem 0.12s 0.35s
% Output   : Refutation 0.12s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SET891+1 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.13  % Command  : sos-script %s
% 0.12/0.33  % Computer : n007.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 : Sun Jul 10 15:40:02 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.12/0.35  
% 0.12/0.35  -------- PROOF -------- 
% 0.12/0.35  % SZS status Unsatisfiable
% 0.12/0.35  % SZS output start Refutation
% 0.12/0.35  ----- Otter 3.2, August 2001 -----
% 0.12/0.35  The process was started by sandbox2 on n007.cluster.edu,
% 0.12/0.35  Sun Jul 10 15:40:02 2022
% 0.12/0.35  The command was "./sos".  The process ID is 8738.
% 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  formula_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 5 during input processing: 0 [copy,5,flip.1] {-} unordered_pair(A,B)=unordered_pair(B,A).
% 0.12/0.35    Following clause subsumed by 6 during input processing: 0 [copy,6,flip.1] {-} set_union2(A,B)=set_union2(B,A).
% 0.12/0.35  
% 0.12/0.35  ----> UNIT CONFLICT at   0.00 sec ----> 16 [binary,15.1,14.1] {-} $F.
% 0.12/0.35  
% 0.12/0.35  Length of proof is 2.  Level of proof is 1.
% 0.12/0.35  
% 0.12/0.35  ---------------- PROOF ----------------
% 0.12/0.35  % SZS status Theorem
% 0.12/0.35  % SZS output start Refutation
% 0.12/0.35  
% 0.12/0.35  4 [] {-} union(unordered_pair(singleton($c4),singleton($c3)))!=unordered_pair($c4,$c3).
% 0.12/0.35  10,9 [] {-} union(unordered_pair(A,B))=set_union2(A,B).
% 0.12/0.35  12 [] {-} unordered_pair(A,B)=set_union2(singleton(A),singleton(B)).
% 0.12/0.35  14 [back_demod,4,demod,10] {-} set_union2(singleton($c4),singleton($c3))!=unordered_pair($c4,$c3).
% 0.12/0.35  15 [copy,12,flip.1] {-} set_union2(singleton(A),singleton(B))=unordered_pair(A,B).
% 0.12/0.35  16 [binary,15.1,14.1] {-} $F.
% 0.12/0.35  
% 0.12/0.35  % SZS output end Refutation
% 0.12/0.35  ------------ end of proof -------------
% 0.12/0.35  
% 0.12/0.35  
% 0.12/0.35  Search stopped by max_proofs option.
% 0.12/0.35  
% 0.12/0.35  
% 0.12/0.35  Search stopped by max_proofs option.
% 0.12/0.35  
% 0.12/0.35  ============ end of search ============
% 0.12/0.35  
% 0.12/0.35  That finishes the proof of the theorem.
% 0.12/0.35  
% 0.12/0.35  Process 8738 finished Sun Jul 10 15:40:02 2022
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