TSTP Solution File: SYO846+1 by Otter---3.3

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Otter---3.3
% Problem  : SYO846+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : otter-tptp-script %s

% Computer : n008.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  : 300s
% DateTime : Wed Jul 27 13:26:43 EDT 2022

% Result   : Unknown 10.69s 10.87s
% Output   : None 
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SYO846+1 : TPTP v8.1.0. Released v7.5.0.
% 0.07/0.13  % Command  : otter-tptp-script %s
% 0.13/0.35  % Computer : n008.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  : 300
% 0.13/0.35  % DateTime : Wed Jul 27 10:13:08 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 2.00/2.18  ----- Otter 3.3f, August 2004 -----
% 2.00/2.18  The process was started by sandbox2 on n008.cluster.edu,
% 2.00/2.18  Wed Jul 27 10:13:08 2022
% 2.00/2.18  The command was "./otter".  The process ID is 13673.
% 2.00/2.18  
% 2.00/2.18  set(prolog_style_variables).
% 2.00/2.18  set(auto).
% 2.00/2.18     dependent: set(auto1).
% 2.00/2.18     dependent: set(process_input).
% 2.00/2.18     dependent: clear(print_kept).
% 2.00/2.18     dependent: clear(print_new_demod).
% 2.00/2.18     dependent: clear(print_back_demod).
% 2.00/2.18     dependent: clear(print_back_sub).
% 2.00/2.18     dependent: set(control_memory).
% 2.00/2.18     dependent: assign(max_mem, 12000).
% 2.00/2.18     dependent: assign(pick_given_ratio, 4).
% 2.00/2.18     dependent: assign(stats_level, 1).
% 2.00/2.18     dependent: assign(max_seconds, 10800).
% 2.00/2.18  clear(print_given).
% 2.00/2.18  
% 2.00/2.18  formula_list(usable).
% 2.00/2.18  all A (A=A).
% 2.00/2.18  all X24 (aal6(X24)<-> (exists X25 (asubq(X25,X24)& -asubq(X24,X25)&aal5(X25)))).
% 2.00/2.18  all X24 (aex3(X24)<->aal3(X24)& -aal4(X24)).
% 2.00/2.18  all X24 (ain(X24,a3)<->X24=a0|X24=a1|X24=a2).
% 2.00/2.18  all X24 X25 (ain(X25,apow(X24))->asubq(X25,X24)).
% 2.00/2.18  all X24 X25 X26 (ain(X26,asm(X24,X25))-> -ain(X26,X25)).
% 2.00/2.18  all X24 ain(X24,apow(X24)).
% 2.00/2.18  all X24 X25 (asubq(X25,X24)-> (-asubq(X24,X25)-> (exists X26 (ain(X26,X24)&asubq(X25,asm(X24,asing(X26))))))).
% 2.00/2.18  all X24 X25 (-aal6(X24)-> -aal7(aun(X24,asing(X25)))).
% 2.00/2.18  all X24 X25 X26 (ain(X26,aun(X24,X25))-> (aal4(asm(aun(X24,X25),asing(X26)))->aal3(X24)|aal3(X25))).
% 2.00/2.18  -ain(a0,a0).
% 2.00/2.18  -ain(a2,a2).
% 2.00/2.18  -asubq(a2,a0).
% 2.00/2.18  a0!=asing(a1).
% 2.00/2.18  -ain(asing(asing(a1)),a2).
% 2.00/2.18  -ain(asm(a3,asing(a1)),a2).
% 2.00/2.18  a2!=apow(asing(a1)).
% 2.00/2.18  asing(asing(a1))!=apow(asing(a1)).
% 2.00/2.18  asubq(aun(asing(a1),asing(asing(a1))),asm(apow(a2),asing(a2))).
% 2.00/2.18  -ain(asm(apow(a2),apow(asing(a2))),asm(apow(a2),asing(a2))).
% 2.00/2.18  a2!=asing(a2).
% 2.00/2.18  -ain(asm(apow(a2),apow(asing(a2))),asm(apow(a2),asing(a1))).
% 2.00/2.18  asm(apow(a2),apow(asing(a2)))!=apow(a2).
% 2.00/2.18  ain(asing(asing(a1)),asing(asing(asing(a1)))).
% 2.00/2.18  ain(a0,apow(asing(asing(a1)))).
% 2.00/2.18  ain(a0,apow(apow(asing(a1)))).
% 2.00/2.18  -ain(asing(asing(a1)),asing(apow(asing(a1)))).
% 2.00/2.18  ain(asing(a1),aun(asing(asing(a1)),asing(asing(asing(a1))))).
% 2.00/2.18  ain(a0,apow(aun(asing(a1),asing(asing(a1))))).
% 2.00/2.18  ain(asing(asing(a1)),aun(asm(apow(a2),a2),apow(asing(asing(a1))))).
% 2.00/2.18  ain(a1,aun(asm(apow(a2),apow(asing(a2))),asing(asing(asing(a1))))).
% 2.00/2.18  ain(a2,asm(a4,asing(a1))).
% 2.00/2.18  -ain(a1,asing(a3)).
% 2.00/2.18  -ain(asm(apow(a2),a2),a4).
% 2.00/2.18  -ain(a1,aun(asing(asing(a1)),asing(a3))).
% 2.00/2.18  ain(a1,asm(aun(asing(asing(a2)),a4),asm(apow(a2),asing(a1)))).
% 2.00/2.18  -ain(asing(a1),aun(asing(asing(a2)),a4)).
% 2.00/2.18  ain(a2,aun(asing(asing(a1)),aun(asing(asing(a2)),a4))).
% 2.00/2.18  -ain(asm(apow(a2),a2),aun(asing(asing(a1)),aun(asing(asing(a2)),a4))).
% 2.00/2.18  -ain(asm(a3,asing(a1)),aun(apow(asing(a2)),asing(apow(a2)))).
% 2.00/2.18  ain(a1,aun(asm(apow(a2),apow(asing(a1))),aun(asing(asing(a2)),asing(apow(a2))))).
% 2.00/2.18  ain(a2,aun(asm(apow(a2),apow(asing(a2))),aun(apow(asing(a2)),asing(apow(a2))))).
% 2.00/2.18  ain(a1,aun(asing(asing(a1)),aun(a4,asing(apow(a2))))).
% 2.00/2.18  all X24 (asubq(X24,aun(asing(a1),asing(asing(a1))))-> (-ain(asing(a1),X24)-> (ain(a1,X24)->X24=asing(a1)))).
% 2.00/2.18  all X24 (ain(X24,aun(aun(asing(a1),asing(asing(a1))),apow(asing(asing(a1)))))->X24=a0|X24=a1|X24=asing(a1)|X24=asing(asing(a1))).
% 2.00/2.18  all X24 (ain(X24,asm(a4,asing(a1)))->X24=a0|X24=a2|X24=a3).
% 2.00/2.18  all X24 (ain(X24,asm(a4,apow(asing(a2))))->X24=a1|X24=a2|X24=a3).
% 2.00/2.18  -asubq(aun(asing(apow(asing(a1))),a4),a4).
% 2.00/2.18  -asubq(aun(asm(apow(a2),apow(asing(a2))),apow(asing(asing(a1)))),aun(asm(apow(a2),apow(asing(a1))),apow(asing(asing(a1))))).
% 2.00/2.18  asubq(apow(a2),aun(asing(asing(a1)),aun(a4,asing(apow(a2))))).
% 2.00/2.18  -asubq(aun(asing(asing(a1)),aun(asing(asing(a2)),a4)),aun(asing(asing(a2)),a4)).
% 2.00/2.18  asubq(a1,asm(a2,asing(a1))).
% 2.00/2.18  asubq(a2,asm(a3,asing(a2))).
% 2.00/2.18  asubq(asm(asm(apow(a2),a2),asing(asing(a1))),asing(a2)).
% 2.00/2.18  asubq(asm(asm(apow(a2),a2),asing(a2)),asing(asing(a1))).
% 2.00/2.18  asm(asm(apow(a2),apow(asing(a2))),asing(a2))=aun(asing(a1),asing(asing(a1))).
% 2.00/2.18  asubq(aun(asing(a1),asing(a3)),asm(asm(a4,asing(a2)),asing(a0))).
% 2.00/2.18  asm(asm(a4,asing(a1)),asing(a3))=asm(a3,asing(a1)).
% 2.00/2.18  aint(aun(apow(a2),asing(asing(a2))),aun(a4,asing(asm(apow(a2),a2))))=a3.
% 2.00/2.18  all X24 (ain(X24,aun(apow(a2),asing(asing(a2))))-> (ain(X24,aun(asing(a2),aun(apow(asing(a2)),asing(apow(a2)))))-> -ain(X24,asing(apow(a2))))).
% 2.00/2.18  aint(aun(aun(asing(a2),apow(asing(a2))),asing(asm(a3,asing(a1)))),aun(asm(apow(a2),apow(asing(a2))),aun(apow(asing(a2)),asing(apow(a2)))))=aun(asing(a2),apow(asing(a2))).
% 2.00/2.18  -aal2(asing(a3)).
% 2.00/2.18  all X24 (ain(X24,a2)-> -aal2(asm(a2,asing(X24)))).
% 2.00/2.18  all X24 (ain(X24,aun(apow(asing(a2)),asing(apow(a2))))-> -aal3(asm(aun(apow(asing(a2)),asing(apow(a2))),asing(X24)))).
% 2.00/2.18  aal2(asm(a4,a2)).
% 2.00/2.18  aal3(asm(apow(aun(asing(a1),asing(asing(a1)))),asing(aun(asing(a1),asing(asing(a1)))))).
% 2.00/2.18  aal3(asm(a4,asing(a2))).
% 2.00/2.18  aal3(aun(a2,asing(apow(a2)))).
% 2.00/2.18  aal4(apow(a2)).
% 2.00/2.18  aal4(aun(asm(apow(a2),asing(a2)),asing(asm(apow(a2),apow(asing(a2)))))).
% 2.00/2.18  aal5(aun(apow(a2),asing(asing(a2)))).
% 2.00/2.18  aex2(aun(asing(a1),asing(asing(a1)))).
% 2.00/2.18  aex2(asm(a3,asing(a1))).
% 2.00/2.18  aex2(aint(aun(apow(a2),asing(asing(a2))),asm(a4,asing(a1)))).
% 2.00/2.18  aex3(aun(a2,asing(apow(a2)))).
% 2.00/2.18  all X24 (ain(X24,a3)-> (ain(X24,apow(asm(a3,asing(a1))))-> -aal3(asm(aint(aun(a3,asing(asm(a3,asing(a1)))),apow(asm(a3,asing(a1)))),asing(X24))))).
% 2.00/2.18  -aal3(asm(aint(aun(a3,asing(asm(a3,asing(a1)))),apow(asm(a3,asing(a1)))),asing(asm(a3,asing(a1))))).
% 2.00/2.18  aex5(aun(asm(apow(a2),apow(asing(a2))),apow(asing(asing(a1))))).
% 2.00/2.18  aex5(aun(a4,asing(apow(a2)))).
% 2.00/2.18  asubq(asm(aint(aun(aun(asing(a1),asing(asing(a1))),aun(apow(asing(a2)),asing(a3))),aun(asing(asing(a2)),a4)),asing(a0)),asm(aun(asing(asing(a2)),a4),asm(apow(a2),asing(a1)))).
% 2.00/2.18  -aex4(aint(aun(apow(a2),asing(asing(a2))),aun(asing(asing(a1)),aun(a4,asing(apow(a2)))))).
% 2.00/2.18  end_of_list.
% 2.00/2.18  
% 2.00/2.18  -------> usable clausifies to:
% 2.00/2.18  
% 2.00/2.18  list(usable).
% 2.00/2.18  0 [] A=A.
% 2.00/2.18  0 [] -aal6(X24)|asubq($f1(X24),X24).
% 2.00/2.18  0 [] -aal6(X24)| -asubq(X24,$f1(X24)).
% 2.00/2.18  0 [] -aal6(X24)|aal5($f1(X24)).
% 2.00/2.18  0 [] aal6(X24)| -asubq(X25,X24)|asubq(X24,X25)| -aal5(X25).
% 2.00/2.18  0 [] -aex3(X24)|aal3(X24).
% 2.00/2.18  0 [] -aex3(X24)| -aal4(X24).
% 2.00/2.18  0 [] aex3(X24)| -aal3(X24)|aal4(X24).
% 2.00/2.18  0 [] -ain(X24,a3)|X24=a0|X24=a1|X24=a2.
% 2.00/2.18  0 [] ain(X24,a3)|X24!=a0.
% 2.00/2.18  0 [] ain(X24,a3)|X24!=a1.
% 2.00/2.18  0 [] ain(X24,a3)|X24!=a2.
% 2.00/2.18  0 [] -ain(X25,apow(X24))|asubq(X25,X24).
% 2.00/2.18  0 [] -ain(X26,asm(X24,X25))| -ain(X26,X25).
% 2.00/2.18  0 [] ain(X24,apow(X24)).
% 2.00/2.18  0 [] -asubq(X25,X24)|asubq(X24,X25)|ain($f2(X24,X25),X24).
% 2.00/2.18  0 [] -asubq(X25,X24)|asubq(X24,X25)|asubq(X25,asm(X24,asing($f2(X24,X25)))).
% 2.00/2.18  0 [] aal6(X24)| -aal7(aun(X24,asing(X25))).
% 2.00/2.18  0 [] -ain(X26,aun(X24,X25))| -aal4(asm(aun(X24,X25),asing(X26)))|aal3(X24)|aal3(X25).
% 2.00/2.18  0 [] -ain(a0,a0).
% 2.00/2.18  0 [] -ain(a2,a2).
% 2.00/2.18  0 [] -asubq(a2,a0).
% 2.00/2.18  0 [] a0!=asing(a1).
% 2.00/2.18  0 [] -ain(asing(asing(a1)),a2).
% 2.00/2.18  0 [] -ain(asm(a3,asing(a1)),a2).
% 2.00/2.18  0 [] a2!=apow(asing(a1)).
% 2.00/2.18  0 [] asing(asing(a1))!=apow(asing(a1)).
% 2.00/2.18  0 [] asubq(aun(asing(a1),asing(asing(a1))),asm(apow(a2),asing(a2))).
% 2.00/2.18  0 [] -ain(asm(apow(a2),apow(asing(a2))),asm(apow(a2),asing(a2))).
% 2.00/2.18  0 [] a2!=asing(a2).
% 2.00/2.18  0 [] -ain(asm(apow(a2),apow(asing(a2))),asm(apow(a2),asing(a1))).
% 2.00/2.18  0 [] asm(apow(a2),apow(asing(a2)))!=apow(a2).
% 2.00/2.18  0 [] ain(asing(asing(a1)),asing(asing(asing(a1)))).
% 2.00/2.18  0 [] ain(a0,apow(asing(asing(a1)))).
% 2.00/2.18  0 [] ain(a0,apow(apow(asing(a1)))).
% 2.00/2.18  0 [] -ain(asing(asing(a1)),asing(apow(asing(a1)))).
% 2.00/2.18  0 [] ain(asing(a1),aun(asing(asing(a1)),asing(asing(asing(a1))))).
% 2.00/2.18  0 [] ain(a0,apow(aun(asing(a1),asing(asing(a1))))).
% 2.00/2.18  0 [] ain(asing(asing(a1)),aun(asm(apow(a2),a2),apow(asing(asing(a1))))).
% 2.00/2.18  0 [] ain(a1,aun(asm(apow(a2),apow(asing(a2))),asing(asing(asing(a1))))).
% 2.00/2.18  0 [] ain(a2,asm(a4,asing(a1))).
% 2.00/2.18  0 [] -ain(a1,asing(a3)).
% 2.00/2.18  0 [] -ain(asm(apow(a2),a2),a4).
% 2.00/2.18  0 [] -ain(a1,aun(asing(asing(a1)),asing(a3))).
% 2.00/2.18  0 [] ain(a1,asm(aun(asing(asing(a2)),a4),asm(apow(a2),asing(a1)))).
% 2.00/2.18  0 [] -ain(asing(a1),aun(asing(asing(a2)),a4)).
% 2.00/2.18  0 [] ain(a2,aun(asing(asing(a1)),aun(asing(asing(a2)),a4))).
% 2.00/2.18  0 [] -ain(asm(apow(a2),a2),aun(asing(asing(a1)),aun(asing(asing(a2)),a4))).
% 2.00/2.18  0 [] -ain(asm(a3,asing(a1)),aun(apow(asing(a2)),asing(apow(a2)))).
% 2.00/2.18  0 [] ain(a1,aun(asm(apow(a2),apow(asing(a1))),aun(asing(asing(a2)),asing(apow(a2))))).
% 2.00/2.18  0 [] ain(a2,aun(asm(apow(a2),apow(asing(a2))),aun(apow(asing(a2)),asing(apow(a2))))).
% 2.00/2.18  0 [] ain(a1,aun(asing(asing(a1)),aun(a4,asing(apow(a2))))).
% 2.00/2.18  0 [] -asubq(X24,aun(asing(a1),asing(asing(a1))))|ain(asing(a1),X24)| -ain(a1,X24)|X24=asing(a1).
% 2.00/2.18  0 [] -ain(X24,aun(aun(asing(a1),asing(asing(a1))),apow(asing(asing(a1)))))|X24=a0|X24=a1|X24=asing(a1)|X24=asing(asing(a1)).
% 2.00/2.18  0 [] -ain(X24,asm(a4,asing(a1)))|X24=a0|X24=a2|X24=a3.
% 2.00/2.18  0 [] -ain(X24,asm(a4,apow(asing(a2))))|X24=a1|X24=a2|X24=a3.
% 2.00/2.18  0 [] -asubq(aun(asing(apow(asing(a1))),a4),a4).
% 2.00/2.18  0 [] -asubq(aun(asm(apow(a2),apow(asing(a2))),apow(asing(asing(a1)))),aun(asm(apow(a2),apow(asing(a1))),apow(asing(asing(a1))))).
% 2.00/2.18  0 [] asubq(apow(a2),aun(asing(asing(a1)),aun(a4,asing(apow(a2))))).
% 2.00/2.18  0 [] -asubq(aun(asing(asing(a1)),aun(asing(asing(a2)),a4)),aun(asing(asing(a2)),a4)).
% 2.00/2.18  0 [] asubq(a1,asm(a2,asing(a1))).
% 2.00/2.18  0 [] asubq(a2,asm(a3,asing(a2))).
% 2.00/2.18  0 [] asubq(asm(asm(apow(a2),a2),asing(asing(a1))),asing(a2)).
% 2.00/2.18  0 [] asubq(asm(asm(apow(a2),a2),asing(a2)),asing(asing(a1))).
% 2.00/2.18  0 [] asm(asm(apow(a2),apow(asing(a2))),asing(a2))=aun(asing(a1),asing(asing(a1))).
% 2.00/2.18  0 [] asubq(aun(asing(a1),asing(a3)),asm(asm(a4,asing(a2)),asing(a0))).
% 2.00/2.18  0 [] asm(asm(a4,asing(a1)),asing(a3))=asm(a3,asing(a1)).
% 2.00/2.18  0 [] aint(aun(apow(a2),asing(asing(a2))),aun(a4,asing(asm(apow(a2),a2))))=a3.
% 2.00/2.18  0 [] -ain(X24,aun(apow(a2),asing(asing(a2))))| -ain(X24,aun(asing(a2),aun(apow(asing(a2)),asing(apow(a2)))))| -ain(X24,asing(apow(a2))).
% 2.00/2.18  0 [] aint(aun(aun(asing(a2),apow(asing(a2))),asing(asm(a3,asing(a1)))),aun(asm(apow(a2),apow(asing(a2))),aun(apow(asing(a2)),asing(apow(a2)))))=aun(asing(a2),apow(asing(a2))).
% 2.00/2.18  0 [] -aal2(asing(a3)).
% 2.00/2.18  0 [] -ain(X24,a2)| -aal2(asm(a2,asing(X24))).
% 2.00/2.18  0 [] -ain(X24,aun(apow(asing(a2)),asing(apow(a2))))| -aal3(asm(aun(apow(asing(a2)),asing(apow(a2))),asing(X24))).
% 2.00/2.18  0 [] aal2(asm(a4,a2)).
% 2.00/2.18  0 [] aal3(asm(apow(aun(asing(a1),asing(asing(a1)))),asing(aun(asing(a1),asing(asing(a1)))))).
% 2.00/2.18  0 [] aal3(asm(a4,asing(a2))).
% 2.00/2.18  0 [] aal3(aun(a2,asing(apow(a2)))).
% 2.00/2.18  0 [] aal4(apow(a2)).
% 2.00/2.18  0 [] aal4(aun(asm(apow(a2),asing(a2)),asing(asm(apow(a2),apow(asing(a2)))))).
% 2.00/2.18  0 [] aal5(aun(apow(a2),asing(asing(a2)))).
% 2.00/2.18  0 [] aex2(aun(asing(a1),asing(asing(a1)))).
% 2.00/2.18  0 [] aex2(asm(a3,asing(a1))).
% 2.00/2.18  0 [] aex2(aint(aun(apow(a2),asing(asing(a2))),asm(a4,asing(a1)))).
% 2.00/2.18  0 [] aex3(aun(a2,asing(apow(a2)))).
% 2.00/2.18  0 [] -ain(X24,a3)| -ain(X24,apow(asm(a3,asing(a1))))| -aal3(asm(aint(aun(a3,asing(asm(a3,asing(a1)))),apow(asm(a3,asing(a1)))),asing(X24))).
% 2.00/2.18  0 [] -aal3(asm(aint(aun(a3,asing(asm(a3,asing(a1)))),apow(asm(a3,asing(a1)))),asing(asm(a3,asing(a1))))).
% 2.00/2.18  0 [] aex5(aun(asm(apow(a2),apow(asing(a2))),apow(asing(asing(a1))))).
% 2.00/2.18  0 [] aex5(aun(a4,asing(apow(a2)))).
% 2.00/2.18  0 [] asubq(asm(aint(aun(aun(asing(a1),asing(asing(a1))),aun(apow(asing(a2)),asing(a3))),aun(asing(asing(a2)),a4)),asing(a0)),asm(aun(asing(asing(a2)),a4),asm(apow(a2),asing(a1)))).
% 2.00/2.18  0 [] -aex4(aint(aun(apow(a2),asing(asing(a2))),aun(asing(asing(a1)),aun(a4,asing(apow(a2)))))).
% 2.00/2.18  end_of_list.
% 2.00/2.18  
% 2.00/2.18  SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=5.
% 2.00/2.18  
% 2.00/2.18  This ia a non-Horn set with equality.  The strategy will be
% 2.00/2.18  Knuth-Bendix, ordered hyper_res, factoring, and unit
% 2.00/2.18  deletion, with positive clauses in sos and nonpositive
% 2.00/2.18  clauses in usable.
% 2.00/2.18  
% 2.00/2.18     dependent: set(knuth_bendix).
% 2.00/2.18     dependent: set(anl_eq).
% 2.00/2.18     dependent: set(para_from).
% 2.00/2.18     dependent: set(para_into).
% 2.00/2.18     dependent: clear(para_from_right).
% 2.00/2.18     dependent: clear(para_into_right).
% 2.00/2.18     dependent: set(para_from_vars).
% 2.00/2.18     dependent: set(eq_units_both_ways).
% 2.00/2.18     dependent: set(dynamic_demod_all).
% 2.00/2.18     dependent: set(dynamic_demod).
% 2.00/2.18     dependent: set(order_eq).
% 2.00/2.18     dependent: set(back_demod).
% 2.00/2.18     dependent: set(lrpo).
% 2.00/2.18     dependent: set(hyper_res).
% 2.00/2.18     dependent: set(unit_deletion).
% 2.00/2.18     dependent: set(factor).
% 2.00/2.18  
% 2.00/2.18  ------------> process usable:
% 2.00/2.18  ** KEPT (pick-wt=6): 1 [] -aal6(A)|asubq($f1(A),A).
% 2.00/2.18  ** KEPT (pick-wt=6): 2 [] -aal6(A)| -asubq(A,$f1(A)).
% 2.00/2.18  ** KEPT (pick-wt=5): 3 [] -aal6(A)|aal5($f1(A)).
% 2.00/2.18  ** KEPT (pick-wt=10): 4 [] aal6(A)| -asubq(B,A)|asubq(A,B)| -aal5(B).
% 2.00/2.18  ** KEPT (pick-wt=4): 5 [] -aex3(A)|aal3(A).
% 2.00/2.18  ** KEPT (pick-wt=4): 6 [] -aex3(A)| -aal4(A).
% 2.00/2.18  ** KEPT (pick-wt=6): 7 [] aex3(A)| -aal3(A)|aal4(A).
% 2.00/2.18  ** KEPT (pick-wt=12): 8 [] -ain(A,a3)|A=a0|A=a1|A=a2.
% 2.00/2.18  ** KEPT (pick-wt=6): 9 [] ain(A,a3)|A!=a0.
% 2.00/2.18  ** KEPT (pick-wt=6): 10 [] ain(A,a3)|A!=a1.
% 2.00/2.18  ** KEPT (pick-wt=6): 11 [] ain(A,a3)|A!=a2.
% 2.00/2.18  ** KEPT (pick-wt=7): 12 [] -ain(A,apow(B))|asubq(A,B).
% 2.00/2.18  ** KEPT (pick-wt=8): 13 [] -ain(A,asm(B,C))| -ain(A,C).
% 2.00/2.18  ** KEPT (pick-wt=11): 14 [] -asubq(A,B)|asubq(B,A)|ain($f2(B,A),B).
% 2.00/2.18  ** KEPT (pick-wt=14): 15 [] -asubq(A,B)|asubq(B,A)|asubq(A,asm(B,asing($f2(B,A)))).
% 2.00/2.18  ** KEPT (pick-wt=7): 16 [] aal6(A)| -aal7(aun(A,asing(B))).
% 2.00/2.18  ** KEPT (pick-wt=16): 17 [] -ain(A,aun(B,C))| -aal4(asm(aun(B,C),asing(A)))|aal3(B)|aal3(C).
% 2.00/2.18  ** KEPT (pick-wt=3): 18 [] -ain(a0,a0).
% 2.00/2.18  ** KEPT (pick-wt=3): 19 [] -ain(a2,a2).
% 2.00/2.18  ** KEPT (pick-wt=3): 20 [] -asubq(a2,a0).
% 2.00/2.18  ** KEPT (pick-wt=4): 22 [copy,21,flip.1] asing(a1)!=a0.
% 2.00/2.18  ** KEPT (pick-wt=5): 23 [] -ain(asing(asing(a1)),a2).
% 2.00/2.18  ** KEPT (pick-wt=6): 24 [] -ain(asm(a3,asing(a1)),a2).
% 2.00/2.18  ** KEPT (pick-wt=5): 26 [copy,25,flip.1] apow(asing(a1))!=a2.
% 2.00/2.18  ** KEPT (pick-wt=7): 27 [] asing(asing(a1))!=apow(asing(a1)).
% 2.00/2.18  ** KEPT (pick-wt=12): 28 [] -ain(asm(apow(a2),apow(asing(a2))),asm(apow(a2),asing(a2))).
% 2.00/2.18  ** KEPT (pick-wt=4): 30 [copy,29,flip.1] asing(a2)!=a2.
% 2.00/2.18  ** KEPT (pick-wt=12): 31 [] -ain(asm(apow(a2),apow(asing(a2))),asm(apow(a2),asing(a1))).
% 2.00/2.18  ** KEPT (pick-wt=9): 32 [] asm(apow(a2),apow(asing(a2)))!=apow(a2).
% 2.00/2.18  ** KEPT (pick-wt=8): 33 [] -ain(asing(asing(a1)),asing(apow(asing(a1)))).
% 2.00/2.18  ** KEPT (pick-wt=4): 34 [] -ain(a1,asing(a3)).
% 2.00/2.18  ** KEPT (pick-wt=6): 35 [] -ain(asm(apow(a2),a2),a4).
% 2.00/2.18  ** KEPT (pick-wt=8): 36 [] -ain(a1,aun(asing(asing(a1)),asing(a3))).
% 2.00/2.18  ** KEPT (pick-wt=8): 37 [] -ain(asing(a1),aun(asing(asing(a2)),a4)).
% 2.00/2.18  ** KEPT (pick-wt=14): 38 [] -ain(asm(apow(a2),a2),aun(asing(asing(a1)),aun(asing(asing(a2)),a4))).
% 2.00/2.18  ** KEPT (pick-wt=12): 39 [] -ain(asm(a3,asing(a1)),aun(apow(asing(a2)),asing(apow(a2)))).
% 2.00/2.18  ** KEPT (pick-wt=19): 40 [] -asubq(A,aun(asing(a1),asing(asing(a1))))|ain(asing(a1),A)| -ain(a1,A)|A=asing(a1).
% 2.00/2.18  ** KEPT (pick-wt=28): 41 [] -ain(A,aun(aun(asing(a1),asing(asing(a1))),apow(asing(asing(a1)))))|A=a0|A=a1|A=asing(a1)|A=asing(asing(a1)).
% 2.00/2.18  ** KEPT (pick-wt=15): 42 [] -ain(A,asm(a4,asing(a1)))|A=a0|A=a2|A=a3.
% 2.00/2.18  ** KEPT (pick-wt=16): 43 [] -ain(A,asm(a4,apow(asing(a2))))|A=a1|A=a2|A=a3.
% 2.00/2.18  ** KEPT (pick-wt=8): 44 [] -asubq(aun(asing(apow(asing(a1))),a4),a4).
% 2.00/2.18  ** KEPT (pick-wt=23): 45 [] -asubq(aun(asm(apow(a2),apow(asing(a2))),apow(asing(asing(a1)))),aun(asm(apow(a2),apow(asing(a1))),apow(asing(asing(a1))))).
% 2.00/2.18  ** KEPT (pick-wt=15): 46 [] -asubq(aun(asing(asing(a1)),aun(asing(asing(a2)),a4)),aun(asing(asing(a2)),a4)).
% 2.00/2.18  ** KEPT (pick-wt=25): 47 [] -ain(A,aun(apow(a2),asing(asing(a2))))| -ain(A,aun(asing(a2),aun(apow(asing(a2)),asing(apow(a2)))))| -ain(A,asing(apow(a2))).
% 2.00/2.18  ** KEPT (pick-wt=3): 48 [] -aal2(asing(a3)).
% 2.00/2.18  ** KEPT (pick-wt=8): 49 [] -ain(A,a2)| -aal2(asm(a2,asing(A))).
% 2.00/2.18  ** KEPT (pick-wt=20): 50 [] -ain(A,aun(apow(asing(a2)),asing(apow(a2))))| -aal3(asm(aun(apow(asing(a2)),asing(apow(a2))),asing(A))).
% 2.00/2.18  ** KEPT (pick-wt=27): 51 [] -ain(A,a3)| -ain(A,apow(asm(a3,asing(a1))))| -aal3(asm(aint(aun(a3,asing(asm(a3,asing(a1)))),apow(asm(a3,asing(a1)))),asing(A))).
% 2.00/2.18  ** KEPT (pick-wt=20): 52 [] -aal3(asm(aint(aun(a3,asing(asm(a3,asing(a1)))),apow(asm(a3,asing(a1)))),asing(asm(a3,asing(a1))))).
% 2.00/2.18  ** KEPT (pick-wt=17): 53 [] -aex4(aint(aun(apow(a2),asing(asing(a2))),aun(asing(asing(a1)),aun(a4,asing(apow(a2)))))).
% 2.00/2.18  
% 2.00/2.18  ------------> process sos:
% 2.00/2.18  ** KEPT (pick-wt=3): 55 [] A=A.
% 2.00/2.18  ** KEPT (pick-wt=4): 56 [] ain(A,apow(A)).
% 2.00/2.18  ** KEPT (pick-wt=12): 57 [] asubq(aun(asing(a1),asing(asing(a1))),asm(apow(a2),asing(a2))).
% 2.00/2.18  ** KEPT (pick-wt=8): 58 [] ain(asing(asing(a1)),asing(asing(asing(a1)))).
% 2.00/2.18  ** KEPT (pick-wt=6): 59 [] ain(a0,apow(asing(asing(a1)))).
% 2.00/2.18  ** KEPT (pick-wt=6): 60 [] ain(a0,apow(apow(asing(a1)))).
% 2.00/2.18  ** KEPT (pick-wt=11): 61 [] ain(asing(a1),aun(asing(asing(a1)),asing(asing(asing(a1))))).
% 2.00/2.18  ** KEPT (pick-wt=9): 62 [] ain(a0,apow(aun(asing(a1),asing(asing(a1))))).
% 2.00/2.18  ** KEPT (pick-wt=13): 63 [] ain(asing(asing(a1)),aun(asm(apow(a2),a2),apow(asing(asing(a1))))).
% 2.00/2.18  ** KEPT (pick-wt=13): 64 [] ain(a1,aun(asm(apow(a2),apow(asing(a2))),asing(asing(asing(a1))))).
% 2.00/2.18  ** KEPT (pick-wt=6): 65 [] ain(a2,asm(a4,asing(a1))).
% 2.00/2.18  ** KEPT (pick-wt=13): 66 [] ain(a1,asm(aun(asing(asing(a2)),a4),asm(apow(a2),asing(a1)))).
% 2.00/2.18  ** KEPT (pick-wt=11): 67 [] ain(a2,aun(asing(asing(a1)),aun(asing(asing(a2)),a4))).
% 2.00/2.18  ** KEPT (pick-wt=16): 68 [] ain(a1,aun(asm(apow(a2),apow(asing(a1))),aun(asing(asing(a2)),asing(apow(a2))))).
% 2.00/2.18  ** KEPT (pick-wt=16): 69 [] ain(a2,aun(asm(apow(a2),apow(asing(a2))),aun(apow(asing(a2)),asing(apow(a2))))).
% 2.00/2.18  ** KEPT (pick-wt=11): 70 [] ain(a1,aun(asing(asing(a1)),aun(a4,asing(apow(a2))))).
% 2.00/2.18  ** KEPT (pick-wt=12): 71 [] asubq(apow(a2),aun(asing(asing(a1)),aun(a4,asing(apow(a2))))).
% 10.69/10.86  ** KEPT (pick-wt=6): 72 [] asubq(a1,asm(a2,asing(a1))).
% 10.69/10.86  ** KEPT (pick-wt=6): 73 [] asubq(a2,asm(a3,asing(a2))).
% 10.69/10.86  ** KEPT (pick-wt=11): 74 [] asubq(asm(asm(apow(a2),a2),asing(asing(a1))),asing(a2)).
% 10.69/10.86  ** KEPT (pick-wt=11): 75 [] asubq(asm(asm(apow(a2),a2),asing(a2)),asing(asing(a1))).
% 10.69/10.86  ** KEPT (pick-wt=16): 77 [copy,76,flip.1] aun(asing(a1),asing(asing(a1)))=asm(asm(apow(a2),apow(asing(a2))),asing(a2)).
% 10.69/10.86  ---> New Demodulator: 78 [new_demod,77] aun(asing(a1),asing(asing(a1)))=asm(asm(apow(a2),apow(asing(a2))),asing(a2)).
% 10.69/10.86  ** KEPT (pick-wt=13): 79 [] asubq(aun(asing(a1),asing(a3)),asm(asm(a4,asing(a2)),asing(a0))).
% 10.69/10.86  ** KEPT (pick-wt=12): 80 [] asm(asm(a4,asing(a1)),asing(a3))=asm(a3,asing(a1)).
% 10.69/10.86  ---> New Demodulator: 81 [new_demod,80] asm(asm(a4,asing(a1)),asing(a3))=asm(a3,asing(a1)).
% 10.69/10.86  ** KEPT (pick-wt=16): 82 [] aint(aun(apow(a2),asing(asing(a2))),aun(a4,asing(asm(apow(a2),a2))))=a3.
% 10.69/10.86  ---> New Demodulator: 83 [new_demod,82] aint(aun(apow(a2),asing(asing(a2))),aun(a4,asing(asm(apow(a2),a2))))=a3.
% 10.69/10.86  ** KEPT (pick-wt=34): 84 [] aint(aun(aun(asing(a2),apow(asing(a2))),asing(asm(a3,asing(a1)))),aun(asm(apow(a2),apow(asing(a2))),aun(apow(asing(a2)),asing(apow(a2)))))=aun(asing(a2),apow(asing(a2))).
% 10.69/10.86  ---> New Demodulator: 85 [new_demod,84] aint(aun(aun(asing(a2),apow(asing(a2))),asing(asm(a3,asing(a1)))),aun(asm(apow(a2),apow(asing(a2))),aun(apow(asing(a2)),asing(apow(a2)))))=aun(asing(a2),apow(asing(a2))).
% 10.69/10.86  ** KEPT (pick-wt=4): 86 [] aal2(asm(a4,a2)).
% 10.69/10.86  ** KEPT (pick-wt=22): 88 [copy,87,demod,78,78] aal3(asm(apow(asm(asm(apow(a2),apow(asing(a2))),asing(a2))),asing(asm(asm(apow(a2),apow(asing(a2))),asing(a2))))).
% 10.69/10.86  ** KEPT (pick-wt=5): 89 [] aal3(asm(a4,asing(a2))).
% 10.69/10.86  ** KEPT (pick-wt=6): 90 [] aal3(aun(a2,asing(apow(a2)))).
% 10.69/10.86  ** KEPT (pick-wt=3): 91 [] aal4(apow(a2)).
% 10.69/10.86  ** KEPT (pick-wt=14): 92 [] aal4(aun(asm(apow(a2),asing(a2)),asing(asm(apow(a2),apow(asing(a2)))))).
% 10.69/10.86  ** KEPT (pick-wt=7): 93 [] aal5(aun(apow(a2),asing(asing(a2)))).
% 10.69/10.86  ** KEPT (pick-wt=10): 95 [copy,94,demod,78] aex2(asm(asm(apow(a2),apow(asing(a2))),asing(a2))).
% 10.69/10.86  ** KEPT (pick-wt=5): 96 [] aex2(asm(a3,asing(a1))).
% 10.69/10.86  ** KEPT (pick-wt=12): 97 [] aex2(aint(aun(apow(a2),asing(asing(a2))),asm(a4,asing(a1)))).
% 10.69/10.86  ** KEPT (pick-wt=6): 98 [] aex3(aun(a2,asing(apow(a2)))).
% 10.69/10.86  ** KEPT (pick-wt=12): 99 [] aex5(aun(asm(apow(a2),apow(asing(a2))),apow(asing(asing(a1))))).
% 10.69/10.86  ** KEPT (pick-wt=6): 100 [] aex5(aun(a4,asing(apow(a2)))).
% 10.69/10.86  ** KEPT (pick-wt=37): 102 [copy,101,demod,78] asubq(asm(aint(aun(asm(asm(apow(a2),apow(asing(a2))),asing(a2)),aun(apow(asing(a2)),asing(a3))),aun(asing(asing(a2)),a4)),asing(a0)),asm(aun(asing(asing(a2)),a4),asm(apow(a2),asing(a1)))).
% 10.69/10.86    Following clause subsumed by 55 during input processing: 0 [copy,55,flip.1] A=A.
% 10.69/10.86  >>>> Starting back demodulation with 78.
% 10.69/10.86      >> back demodulating 62 with 78.
% 10.69/10.86      >> back demodulating 57 with 78.
% 10.69/10.86      >> back demodulating 41 with 78.
% 10.69/10.86      >> back demodulating 40 with 78.
% 10.69/10.86  >>>> Starting back demodulation with 81.
% 10.69/10.86  >>>> Starting back demodulation with 83.
% 10.69/10.86  >>>> Starting back demodulation with 85.
% 10.69/10.87  
% 10.69/10.87  ======= end of input processing =======
% 10.69/10.87  
% 10.69/10.87  =========== start of search ===========
% 10.69/10.87  
% 10.69/10.87  
% 10.69/10.87  Resetting weight limit to 13.
% 10.69/10.87  
% 10.69/10.87  
% 10.69/10.87  Resetting weight limit to 13.
% 10.69/10.87  
% 10.69/10.87  sos_size=780
% 10.69/10.87  
% 10.69/10.87  Search stopped because sos empty.
% 10.69/10.87  
% 10.69/10.87  
% 10.69/10.87  Search stopped because sos empty.
% 10.69/10.87  
% 10.69/10.87  ============ end of search ============
% 10.69/10.87  
% 10.69/10.87  -------------- statistics -------------
% 10.69/10.87  clauses given               1047
% 10.69/10.87  clauses generated        1511289
% 10.69/10.87  clauses kept                1159
% 10.69/10.87  clauses forward subsumed    1519
% 10.69/10.87  clauses back subsumed         70
% 10.69/10.87  Kbytes malloced             6835
% 10.69/10.87  
% 10.69/10.87  ----------- times (seconds) -----------
% 10.69/10.87  user CPU time          8.68          (0 hr, 0 min, 8 sec)
% 10.69/10.87  system CPU time        0.01          (0 hr, 0 min, 0 sec)
% 10.69/10.87  wall-clock time       11             (0 hr, 0 min, 11 sec)
% 10.69/10.87  
% 10.69/10.87  Process 13673 finished Wed Jul 27 10:13:19 2022
% 10.69/10.87  Otter interrupted
% 10.69/10.87  PROOF NOT FOUND
%------------------------------------------------------------------------------