TSTP Solution File: KLE072+1 by SOS---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SOS---2.0
% Problem  : KLE072+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : sos-script %s

% Computer : n018.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 0.12s 0.36s
% Output   : Refutation 0.12s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : KLE072+1 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13  % Command  : sos-script %s
% 0.12/0.34  % Computer : n018.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Thu Jun 16 09:07:00 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.12/0.36  
% 0.12/0.36  -------- PROOF -------- 
% 0.12/0.36  % SZS status Unsatisfiable
% 0.12/0.36  % SZS output start Refutation
% 0.12/0.36  ----- Otter 3.2, August 2001 -----
% 0.12/0.36  The process was started by sandbox on n018.cluster.edu,
% 0.12/0.36  Thu Jun 16 09:07:00 2022
% 0.12/0.36  The command was "./sos".  The process ID is 15128.
% 0.12/0.36  
% 0.12/0.36  set(prolog_style_variables).
% 0.12/0.36  set(auto).
% 0.12/0.36     dependent: set(auto1).
% 0.12/0.36     dependent: set(process_input).
% 0.12/0.36     dependent: clear(print_kept).
% 0.12/0.36     dependent: clear(print_new_demod).
% 0.12/0.36     dependent: clear(print_back_demod).
% 0.12/0.36     dependent: clear(print_back_sub).
% 0.12/0.36     dependent: set(control_memory).
% 0.12/0.36     dependent: assign(max_mem, 12000).
% 0.12/0.36     dependent: assign(pick_given_ratio, 4).
% 0.12/0.36     dependent: assign(stats_level, 1).
% 0.12/0.36     dependent: assign(pick_semantic_ratio, 3).
% 0.12/0.36     dependent: assign(sos_limit, 5000).
% 0.12/0.36     dependent: assign(max_weight, 60).
% 0.12/0.36  clear(print_given).
% 0.12/0.36  
% 0.12/0.36  formula_list(usable).
% 0.12/0.36  
% 0.12/0.36  SCAN INPUT: prop=0, horn=1, equality=1, symmetry=0, max_lits=2.
% 0.12/0.36  
% 0.12/0.36  This is a Horn set with equality.  The strategy will be
% 0.12/0.36  Knuth-Bendix and hyper_res, with positive clauses in
% 0.12/0.36  sos and nonpositive clauses in usable.
% 0.12/0.36  
% 0.12/0.36     dependent: set(knuth_bendix).
% 0.12/0.36     dependent: set(para_from).
% 0.12/0.36     dependent: set(para_into).
% 0.12/0.36     dependent: clear(para_from_right).
% 0.12/0.36     dependent: clear(para_into_right).
% 0.12/0.36     dependent: set(para_from_vars).
% 0.12/0.36     dependent: set(eq_units_both_ways).
% 0.12/0.36     dependent: set(dynamic_demod_all).
% 0.12/0.36     dependent: set(dynamic_demod).
% 0.12/0.36     dependent: set(order_eq).
% 0.12/0.36     dependent: set(back_demod).
% 0.12/0.36     dependent: set(lrpo).
% 0.12/0.36     dependent: set(hyper_res).
% 0.12/0.36     dependent: clear(order_hyper).
% 0.12/0.36  
% 0.12/0.36  ------------> process usable:
% 0.12/0.36  
% 0.12/0.36  ------------> process sos:
% 0.12/0.36    Following clause subsumed by 4 during input processing: 0 [copy,4,flip.1] {-} addition(A,B)=addition(B,A).
% 0.12/0.36  
% 0.12/0.36  ----> UNIT CONFLICT at   0.00 sec ----> 40 [binary,39.1,38.1] {-} $F.
% 0.12/0.36  
% 0.12/0.36  Length of proof is 2.  Level of proof is 2.
% 0.12/0.36  
% 0.12/0.36  ---------------- PROOF ----------------
% 0.12/0.36  % SZS status Theorem
% 0.12/0.36  % SZS output start Refutation
% 0.12/0.36  
% 0.12/0.36  3 [] {-} domain(multiplication(addition($c3,$c2),domain($c1)))!=addition(domain(multiplication($c3,domain($c1))),domain(multiplication($c2,domain($c1)))).
% 0.12/0.36  22,21 [] {-} multiplication(addition(A,B),C)=addition(multiplication(A,C),multiplication(B,C)).
% 0.12/0.36  29 [] {-} domain(multiplication(A,B))=domain(multiplication(A,domain(B))).
% 0.12/0.36  31,30 [copy,29,flip.1] {-} domain(multiplication(A,domain(B)))=domain(multiplication(A,B)).
% 0.12/0.36  37,36 [] {-} domain(addition(A,B))=addition(domain(A),domain(B)).
% 0.12/0.36  38 [] {-} A=A.
% 0.12/0.36  39 [back_demod,3,demod,22,37,31,31,31,31] {-} addition(domain(multiplication($c3,$c1)),domain(multiplication($c2,$c1)))!=addition(domain(multiplication($c3,$c1)),domain(multiplication($c2,$c1))).
% 0.12/0.36  40 [binary,39.1,38.1] {-} $F.
% 0.12/0.36  
% 0.12/0.36  % SZS output end Refutation
% 0.12/0.36  ------------ end of proof -------------
% 0.12/0.36  
% 0.12/0.36  
% 0.12/0.36  Search stopped by max_proofs option.
% 0.12/0.36  
% 0.12/0.36  
% 0.12/0.36  Search stopped by max_proofs option.
% 0.12/0.36  
% 0.12/0.36  ============ end of search ============
% 0.12/0.36  
% 0.12/0.36  That finishes the proof of the theorem.
% 0.12/0.36  
% 0.12/0.36  Process 15128 finished Thu Jun 16 09:07:00 2022
%------------------------------------------------------------------------------