TSTP Solution File: ALG039+1 by SOS---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : ALG039+1 : TPTP v8.1.0. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : sos-script %s
% Computer : n022.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 : Thu Jul 14 18:00:56 EDT 2022
% Result : Theorem 0.19s 0.40s
% Output : Refutation 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : ALG039+1 : TPTP v8.1.0. Released v2.7.0.
% 0.03/0.13 % Command : sos-script %s
% 0.13/0.34 % Computer : n022.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Wed Jun 8 21:17:20 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.40 ----- Otter 3.2, August 2001 -----
% 0.19/0.40 The process was started by sandbox on n022.cluster.edu,
% 0.19/0.40 Wed Jun 8 21:17:20 2022
% 0.19/0.40 The command was "./sos". The process ID is 30548.
% 0.19/0.40
% 0.19/0.40 set(prolog_style_variables).
% 0.19/0.40 set(auto).
% 0.19/0.40 dependent: set(auto1).
% 0.19/0.40 dependent: set(process_input).
% 0.19/0.40 dependent: clear(print_kept).
% 0.19/0.40 dependent: clear(print_new_demod).
% 0.19/0.40 dependent: clear(print_back_demod).
% 0.19/0.40 dependent: clear(print_back_sub).
% 0.19/0.40 dependent: set(control_memory).
% 0.19/0.40 dependent: assign(max_mem, 12000).
% 0.19/0.40 dependent: assign(pick_given_ratio, 4).
% 0.19/0.40 dependent: assign(stats_level, 1).
% 0.19/0.40 dependent: assign(pick_semantic_ratio, 3).
% 0.19/0.40 dependent: assign(sos_limit, 5000).
% 0.19/0.40 dependent: assign(max_weight, 60).
% 0.19/0.40 clear(print_given).
% 0.19/0.40
% 0.19/0.40 formula_list(usable).
% 0.19/0.40
% 0.19/0.40 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=4.
% 0.19/0.40
% 0.19/0.40 This ia a non-Horn set with equality. The strategy will be
% 0.19/0.40 Knuth-Bendix, ordered hyper_res, ur_res, factoring, and
% 0.19/0.40 unit deletion, with positive clauses in sos and nonpositive
% 0.19/0.40 clauses in usable.
% 0.19/0.40
% 0.19/0.40 dependent: set(knuth_bendix).
% 0.19/0.40 dependent: set(para_from).
% 0.19/0.40 dependent: set(para_into).
% 0.19/0.40 dependent: clear(para_from_right).
% 0.19/0.40 dependent: clear(para_into_right).
% 0.19/0.40 dependent: set(para_from_vars).
% 0.19/0.40 dependent: set(eq_units_both_ways).
% 0.19/0.40 dependent: set(dynamic_demod_all).
% 0.19/0.40 dependent: set(dynamic_demod).
% 0.19/0.40 dependent: set(order_eq).
% 0.19/0.40 dependent: set(back_demod).
% 0.19/0.40 dependent: set(lrpo).
% 0.19/0.40 dependent: set(hyper_res).
% 0.19/0.40 dependent: set(unit_deletion).
% 0.19/0.40 dependent: set(factor).
% 0.19/0.40
% 0.19/0.40 ------------> process usable:
% 0.19/0.40
% 0.19/0.40 ------------> process sos:
% 0.19/0.40 Following clause subsumed by 113 during input processing: 0 [] {-} op(e0,e0)=e0|op(e0,e0)=e1|op(e0,e0)=e2|op(e0,e0)=e3.
% 0.19/0.40 Following clause subsumed by 185 during input processing: 0 [] {-} op(e0,e0)=e0|op(e0,e0)=e1|op(e0,e0)=e2|op(e2,e2)=e3.
% 0.19/0.40 Following clause subsumed by 185 during input processing: 0 [] {-} op(e0,e0)=e0|op(e0,e0)=e1|op(e0,e0)=e2|op(e3,e3)=e3.
% 0.19/0.40 Following clause subsumed by 189 during input processing: 0 [demod,180,unit_del,100] {-} op(e0,e0)=e0|op(e0,e0)=e1|op(e2,e2)=e3.
% 0.19/0.40 Following clause subsumed by 189 during input processing: 0 [demod,180,unit_del,100] {-} op(e0,e0)=e0|op(e0,e0)=e1|op(e3,e3)=e3.
% 0.19/0.40 Following clause subsumed by 189 during input processing: 0 [] {-} op(e0,e0)=e0|op(e0,e0)=e1|op(e2,e2)=e2|op(e0,e0)=e3.
% 0.19/0.40 Following clause subsumed by 189 during input processing: 0 [demod,180,unit_del,102] {-} op(e0,e0)=e0|op(e0,e0)=e1|op(e2,e2)=e2.
% 0.19/0.40 Following clause subsumed by 189 during input processing: 0 [] {-} op(e0,e0)=e0|op(e0,e0)=e1|op(e2,e2)=e2|op(e2,e2)=e3.
% 0.19/0.40 Following clause subsumed by 189 during input processing: 0 [] {-} op(e0,e0)=e0|op(e0,e0)=e1|op(e2,e2)=e2|op(e3,e3)=e3.
% 0.19/0.40 Following clause subsumed by 189 during input processing: 0 [] {-} op(e0,e0)=e0|op(e0,e0)=e1|op(e3,e3)=e2|op(e0,e0)=e3.
% 0.19/0.40 Following clause subsumed by 189 during input processing: 0 [demod,180,unit_del,102] {-} op(e0,e0)=e0|op(e0,e0)=e1|op(e3,e3)=e2.
% 0.19/0.40 Following clause subsumed by 189 during input processing: 0 [] {-} op(e0,e0)=e0|op(e0,e0)=e1|op(e3,e3)=e2|op(e2,e2)=e3.
% 0.19/0.40 Following clause subsumed by 189 during input processing: 0 [] {-} op(e0,e0)=e0|op(e0,e0)=e1|op(e3,e3)=e2|op(e3,e3)=e3.
% 0.19/0.40 Following clause subsumed by 193 during input processing: 0 [demod,180,unit_del,98] {-} op(e0,e0)=e0|op(e0,e0)=e2|op(e2,e2)=e3.
% 0.19/0.40 Following clause subsumed by 193 during input processing: 0 [demod,180,unit_del,98] {-} op(e0,e0)=e0|op(e0,e0)=e2|op(e3,e3)=e3.
% 0.19/0.40 Following clause subsumed by 204 during input processing: 0 [demod,198,180,180,unit_del,98,102] {-} e0=e0|op(e2,e2)=e2.
% 0.19/0.40 Following clause subsumed by 204 during input processing: 0 [demod,198,180,unit_del,98] {-} e0=e0|op(e2,e2)=e2|op(e2,e2)=e3.
% 0.19/0.40 Following clause subsumed by 204 during input processing: 0 [demod,198,180,unit_del,98] {-} e0=e0|op(e2,e2)=e2|op(e3,e3)=e3.
% 0.19/0.40 Following clause subsumed by 206 during input processing: 0 [demod,198,180,180,unit_del,98,102] {-} e0=e0|op(e3,e3)=e2.
% 0.19/0.40 Following clause subsumed by 206 during input processing: 0 [demod,198,180,unit_del,98] {-} e0=e0|op(e3,e3)=e2|op(e2,e2)=e3.
% 0.19/0.40 Following clause subsumed by 206 during input processing: 0 [demod,198,180,unit_del,98] {-} e0=e0|op(e3,e3)=e2|op(e3,e3)=e3.
% 0.19/0.40 Following clause subsumed by 208 during input processing: 0 [demod,198,198,180,unit_del,100,102] {-} e0=e0|op(e2,e2)=e1.
% 0.19/0.40 Following clause subsumed by 208 during input processing: 0 [demod,198,198,unit_del,100] {-} e0=e0|op(e2,e2)=e1|op(e2,e2)=e3.
% 0.19/0.40 Following clause subsumed by 208 during input processing: 0 [demod,198,198,unit_del,100] {-} e0=e0|op(e2,e2)=e1|op(e3,e3)=e3.
% 0.19/0.40 Following clause subsumed by 208 during input processing: 0 [demod,198,180,198,unit_del,100,102] {-} e0=e0|op(e2,e2)=e1.
% 0.19/0.40 Following clause subsumed by 208 during input processing: 0 [demod,198,180,180,unit_del,100,102] {-} e0=e0|op(e2,e2)=e1.
% 0.19/0.40 Following clause subsumed by 208 during input processing: 0 [demod,198,180,unit_del,100] {-} e0=e0|op(e2,e2)=e1|op(e2,e2)=e3.
% 0.19/0.40 Following clause subsumed by 208 during input processing: 0 [demod,198,180,unit_del,100] {-} e0=e0|op(e2,e2)=e1|op(e3,e3)=e3.
% 0.19/0.40 Following clause subsumed by 208 during input processing: 0 [demod,198,198,unit_del,102] {-} e0=e0|op(e2,e2)=e1|op(e2,e2)=e2.
% 0.19/0.40 Following clause subsumed by 208 during input processing: 0 [demod,198,180,unit_del,102] {-} e0=e0|op(e2,e2)=e1|op(e2,e2)=e2.
% 0.19/0.40 Following clause subsumed by 208 during input processing: 0 [demod,198] {-} e0=e0|op(e2,e2)=e1|op(e2,e2)=e2|op(e2,e2)=e3.
% 0.19/0.40 Following clause subsumed by 208 during input processing: 0 [demod,198] {-} e0=e0|op(e2,e2)=e1|op(e2,e2)=e2|op(e3,e3)=e3.
% 0.19/0.40 Following clause subsumed by 208 during input processing: 0 [demod,198,198,unit_del,102] {-} e0=e0|op(e2,e2)=e1|op(e3,e3)=e2.
% 0.19/0.40 Following clause subsumed by 208 during input processing: 0 [demod,198,180,unit_del,102] {-} e0=e0|op(e2,e2)=e1|op(e3,e3)=e2.
% 0.19/0.40 Following clause subsumed by 208 during input processing: 0 [demod,198] {-} e0=e0|op(e2,e2)=e1|op(e3,e3)=e2|op(e2,e2)=e3.
% 0.19/0.40 Following clause subsumed by 208 during input processing: 0 [demod,198] {-} e0=e0|op(e2,e2)=e1|op(e3,e3)=e2|op(e3,e3)=e3.
% 0.19/0.40 Following clause subsumed by 210 during input processing: 0 [demod,198,198,180,unit_del,100,102] {-} e0=e0|op(e3,e3)=e1.
% 0.19/0.40 Following clause subsumed by 210 during input processing: 0 [demod,198,198,unit_del,100] {-} e0=e0|op(e3,e3)=e1|op(e2,e2)=e3.
% 0.19/0.40 Following clause subsumed by 210 during input processing: 0 [demod,198,198,unit_del,100] {-} e0=e0|op(e3,e3)=e1|op(e3,e3)=e3.
% 0.19/0.40 Following clause subsumed by 210 during input processing: 0 [demod,198,180,198,unit_del,100,102] {-} e0=e0|op(e3,e3)=e1.
% 0.19/0.40 Following clause subsumed by 210 during input processing: 0 [demod,198,180,180,unit_del,100,102] {-} e0=e0|op(e3,e3)=e1.
% 0.19/0.40 Following clause subsumed by 210 during input processing: 0 [demod,198,180,unit_del,100] {-} e0=e0|op(e3,e3)=e1|op(e2,e2)=e3.
% 0.19/0.40 Following clause subsumed by 210 during input processing: 0 [demod,198,180,unit_del,100] {-} e0=e0|op(e3,e3)=e1|op(e3,e3)=e3.
% 0.19/0.40 Following clause subsumed by 210 during input processing: 0 [demod,198,198,unit_del,102] {-} e0=e0|op(e3,e3)=e1|op(e2,e2)=e2.
% 0.19/0.40 Following clause subsumed by 210 during input processing: 0 [demod,198,180,unit_del,102] {-} e0=e0|op(e3,e3)=e1|op(e2,e2)=e2.
% 0.19/0.40 Following clause subsumed by 210 during input processing: 0 [demod,198] {-} e0=e0|op(e3,e3)=e1|op(e2,e2)=e2|op(e2,e2)=e3.
% 0.19/0.40 Following clause subsumed by 210 during input processing: 0 [demod,198] {-} e0=e0|op(e3,e3)=e1|op(e2,e2)=e2|op(e3,e3)=e3.
% 0.19/0.40 Following clause subsumed by 210 during input processing: 0 [demod,198,198,unit_del,102] {-} e0=e0|op(e3,e3)=e1|op(e3,e3)=e2.
% 0.19/0.40 Following clause subsumed by 210 during input processing: 0 [demod,198,180,unit_del,102] {-} e0=e0|op(e3,e3)=e1|op(e3,e3)=e2.
% 0.19/0.40 Following clause subsumed by 210 during input processing: 0 [demod,198] {-} e0=e0|op(e3,e3)=e1|op(e3,e3)=e2|op(e2,e2)=e3.
% 0.19/0.40 Following clause subsumed by 210 during input processing: 0 [demod,198] {-} e0=e0|op(e3,e3)=e1|op(e3,e3)=e2|op(e3,e3)=e3.
% 0.19/0.40 Following clause subsumed by 212 during input processing: 0 [demod,180,198,198,180,unit_del,98,100,102] {-} e0=e0.
% 0.19/0.40 Following clause subsumed by 212 during input processing: 0 [demod,180,198,198,unit_del,98,100] {-} e0=e0|op(e2,e2)=e3.
% 0.19/0.40 Following clause subsumed by 212 during input processing: 0 [demod,180,198,198,unit_del,98,100] {-} e0=e0|op(e3,e3)=e3.
% 0.19/0.40 Following clause subsumed by 212 during input processing: 0 [demod,180,198,180,198,unit_del,98,100,102] {-} e0=e0.
% 0.19/0.40 Following clause subsumed by 212 during input processing: 0 [demod,180,198,180,180,unit_del,98,100,102] {-} e0=e0.
% 0.19/0.40 Following clause subsumed by 212 during input processing: 0 [demod,180,198,180,unit_del,98,100] {-} e0=e0|op(e2,e2)=e3.
% 0.19/0.40 Following clause subsumed by 212 during input processing: 0 [demod,180,198,180,unit_del,98,100] {-} e0=e0|op(e3,e3)=e3.
% 0.19/0.40 Following clause subsumed by 212 during input processing: 0 [demod,180,198,198,unit_del,98,102] {-} e0=e0|op(e2,e2)=e2.
% 0.19/0.40 Following clause subsumed by 212 during input processing: 0 [demod,180,198,180,unit_del,98,102] {-} e0=e0|op(e2,e2)=e2.
% 0.19/0.40 Following clause subsumed by 212 during input processing: 0 [demod,180,198,unit_del,98] {-} e0=e0|op(e2,e2)=e2|op(e2,e2)=e3.
% 0.19/0.40 Following clause subsumed by 212 during input processing: 0 [demod,180,198,unit_del,98] {-} e0=e0|op(e2,e2)=e2|op(e3,e3)=e3.
% 0.19/0.40 Following clause subsumed by 212 during input processing: 0 [demod,180,198,198,unit_del,98,102] {-} e0=e0|op(e3,e3)=e2.
% 0.19/0.40 Following clause subsumed by 212 during input processing: 0 [demod,180,198,180,unit_del,98,102] {-} e0=e0|op(e3,e3)=e2.
% 0.19/0.40 Following clause subsumed by 212 during input processing: 0 [demod,180,198,unit_del,98] {-} e0=e0|op(e3,e3)=e2|op(e2,e2)=e3.
% 0.19/0.40 Following clause subsumed by 212 during input processing: 0 [demod,180,198,unit_del,98] {-} e0=e0|op(e3,e3)=e2|op(e3,e3)=e3.
% 0.19/0.40 Following clause subsumed by 212 during input processing: 0 [demod,180,180,198,198,unit_del,98,100,102] {-} e0=e0.
% 0.19/0.40 Following clause subsumed by 212 during input processing: 0 [demod,180,180,198,180,unit_del,98,100,102] {-} e0=e0.
% 0.19/0.40 Following clause subsumed by 212 during input processing: 0 [demod,180,180,198,unit_del,98,100] {-} e0=e0|op(e2,e2)=e3.
% 0.19/0.40 Following clause subsumed by 212 during input processing: 0 [demod,180,180,198,unit_del,98,100] {-} e0=e0|op(e3,e3)=e3.
% 0.19/0.40 Following clause subsumed by 212 during input processing: 0 [demod,180,180,180,198,unit_del,98,100,102] {-} e0=e0.
% 0.19/0.40 Following clause subsumed by 212 during input processing: 0 [demod,180,180,180,180,unit_del,98,100,102] {-} e0=e0.
% 0.19/0.40 Following clause subsumed by 212 during input processing: 0 [demod,180,180,180,unit_del,98,100] {-} e0=e0|op(e2,e2)=e3.
% 0.19/0.40 Following clause subsumed by 212 during input processing: 0 [demod,180,180,180,unit_del,98,100] {-} e0=e0|op(e3,e3)=e3.
% 0.19/0.40 Following clause subsumed by 212 during input processing: 0 [demod,180,180,198,unit_del,98,102] {-} e0=e0|op(e2,e2)=e2.
% 0.19/0.40 Following clause subsumed by 212 during input processing: 0 [demod,180,180,180,unit_del,98,102] {-} e0=e0|op(e2,e2)=e2.
% 0.19/0.40 Following clause subsumed by 212 during input processing: 0 [demod,180,180,unit_del,98] {-} e0=e0|op(e2,e2)=e2|op(e2,e2)=e3.
% 0.19/0.40 Following clause subsumed by 212 during input processing: 0 [demod,180,180,unit_del,98] {-} e0=e0|op(e2,e2)=e2|op(e3,e3)=e3.
% 0.19/0.40 Following clause subsumed by 212 during input processing: 0 [demod,180,180,198,unit_del,98,102] {-} e0=e0|op(e3,e3)=e2.
% 0.19/0.40 Following clause subsumed by 212 during input processing: 0 [demod,180,180,180,unit_del,98,102] {-} e0=e0|op(e3,e3)=e2.
% 0.19/0.40 Following clause subsumed by 212 during input processing: 0 [demod,180,180,unit_del,98] {-} e0=e0|op(e3,e3)=e2|op(e2,e2)=e3.
% 0.19/0.40 Following clause subsumed by 212 during input processing: 0 [demod,180,180,unit_del,98] {-} e0=e0|op(e3,e3)=e2|op(e3,e3)=e3.
% 0.19/0.40 Following clause subsumed by 212 during input processing: 0 [demod,180,198,198,unit_del,100,102] {-} e0=e0|op(e2,e2)=e1.
% 0.19/0.40 Following clause subsumed by 212 during input processing: 0 [demod,180,198,180,unit_del,100,102] {-} e0=e0|op(e2,e2)=e1.
% 0.19/0.40 Following clause subsumed by 212 during input processing: 0 [demod,180,198,unit_del,100] {-} e0=e0|op(e2,e2)=e1|op(e2,e2)=e3.
% 0.19/0.40 Following clause subsumed by 212 during input processing: 0 [demod,180,198,unit_del,100] {-} e0=e0|op(e2,e2)=e1|op(e3,e3)=e3.
% 0.19/0.40 Following clause subsumed by 212 during input processing: 0 [demod,180,180,198,unit_del,100,102] {-} e0=e0|op(e2,e2)=e1.
% 0.19/0.40 Following clause subsumed by 212 during input processing: 0 [demod,180,180,180,unit_del,100,102] {-} e0=e0|op(e2,e2)=e1.
% 0.19/0.40 Following clause subsumed by 212 during input processing: 0 [demod,180,180,unit_del,100] {-} e0=e0|op(e2,e2)=e1|op(e2,e2)=e3.
% 0.19/0.40 Following clause subsumed by 212 during input processing: 0 [demod,180,180,unit_del,100] {-} e0=e0|op(e2,e2)=e1|op(e3,e3)=e3.
% 0.19/0.40 Following clause subsumed by 212 during input processing: 0 [demod,180,198,unit_del,102] {-} e0=e0|op(e2,e2)=e1|op(e2,e2)=e2.
% 0.19/0.40 Following clause subsumed by 212 during input processing: 0 [demod,180,180,unit_del,102] {-} e0=e0|op(e2,e2)=e1|op(e2,e2)=e2.
% 0.19/0.40 Following clause subsumed by 212 during input processing: 0 [demod,180] {-} e0=e0|op(e2,e2)=e1|op(e2,e2)=e2|op(e2,e2)=e3.
% 0.19/0.40 Following clause subsumed by 212 during input processing: 0 [demod,180] {-} e0=e0|op(e2,e2)=e1|op(e2,e2)=e2|op(e3,e3)=e3.
% 0.19/0.40 Following clause subsumed by 212 during input processing: 0 [demod,180,198,unit_del,102] {-} e0=e0|op(e2,e2)=e1|op(e3,e3)=e2.
% 0.19/0.40 Following clause subsumed by 212 during input processing: 0 [demod,180,180,unit_del,102] {-} e0=e0|op(e2,e2)=e1|op(e3,e3)=e2.
% 0.19/0.40 Following clause subsumed by 212 during input processing: 0 [demod,180] {-} e0=e0|op(e2,e2)=e1|op(e3,e3)=e2|op(e2,e2)=e3.
% 0.19/0.40 Following clause subsumed by 212 during input processing: 0 [demod,180] {-} e0=e0|op(e2,e2)=e1|op(e3,e3)=e2|op(e3,e3)=e3.
% 0.19/0.40 Following clause subsumed by 212 during input processing: 0 [demod,180,198,198,unit_del,100,102] {-} e0=e0|op(e3,e3)=e1.
% 0.19/0.40 Following clause subsumed by 212 during input processing: 0 [demod,180,198,180,unit_del,100,102] {-} e0=e0|op(e3,e3)=e1.
% 0.19/0.40 Following clause subsumed by 212 during input processing: 0 [demod,180,198,unit_del,100] {-} e0=e0|op(e3,e3)=e1|op(e2,e2)=e3.
% 0.19/0.40 Following clause subsumed by 212 during input processing: 0 [demod,180,198,unit_del,100] {-} e0=e0|op(e3,e3)=e1|op(e3,e3)=e3.
% 0.19/0.40 Following clause subsumed by 212 during input processing: 0 [demod,180,180,198,unit_del,100,102] {-} e0=e0|op(e3,e3)=e1.
% 0.19/0.40 Following clause subsumed by 212 during input processing: 0 [demod,180,180,180,unit_del,100,102] {-} e0=e0|op(e3,e3)=e1.
% 0.19/0.40 Following clause subsumed by 212 during input processing: 0 [demod,180,180,unit_del,100] {-} e0=e0|op(e3,e3)=e1|op(e2,e2)=e3.
% 0.19/0.40 Following clause subsumed by 212 during input processing: 0 [demod,180,180,unit_del,100] {-} e0=e0|op(e3,e3)=e1|op(e3,e3)=e3.
% 0.19/0.40 Following clause subsumed by 212 during input processing: 0 [demod,180,198,unit_del,102] {-} e0=e0|op(e3,e3)=e1|op(e2,e2)=e2.
% 0.19/0.40 Following clause subsumed by 212 during input processing: 0 [demod,180,180,unit_del,102] {-} e0=e0|op(e3,e3)=e1|op(e2,e2)=e2.
% 0.19/0.40 Following clause subsumed by 212 during input processing: 0 [demod,180] {-} e0=e0|op(e3,e3)=e1|op(e2,e2)=e2|op(e2,e2)=e3.
% 0.19/0.40 Following clause subsumed by 212 during input processing: 0 [demod,180] {-} e0=e0|op(e3,e3)=e1|op(e2,e2)=e2|op(e3,e3)=e3.
% 0.19/0.40 Following clause subsumed by 212 during input processing: 0 [demod,180,198,unit_del,102] {-} e0=e0|op(e3,e3)=e1|op(e3,e3)=e2.
% 0.19/0.40 Following clause subsumed by 212 during input processing: 0 [demod,180,180,unit_del,102] {-} e0=e0|op(e3,e3)=e1|op(e3,e3)=e2.
% 0.19/0.40 Following clause subsumed by 212 during input processing: 0 [demod,180] {-} e0=e0|op(e3,e3)=e1|op(e3,e3)=e2|op(e2,e2)=e3.
% 0.19/0.40 Following clause subsumed by 212 during input processing: 0 [demod,180] {-} e0=e0|op(e3,e3)=e1|op(e3,e3)=e2|op(e3,e3)=e3.
% 0.19/0.40 Following clause subsumed by 212 during input processing: 0 [demod,215,198,198,180,unit_del,98,100,102] {-} e0=e0.
% 0.19/0.40 Following clause subsumed by 212 during input processing: 0 [demod,215,198,198,215,unit_del,98,100,102] {-} e0=e0.
% 0.19/0.40 Following clause subsumed by 212 during input processing: 0 [demod,215,198,198,unit_del,98,100] {-} e0=e0|op(e3,e3)=e3.
% 0.19/0.40 Following clause subsumed by 212 during input processing: 0 [demod,215,198,180,198,unit_del,98,100,102] {-} e0=e0.
% 0.19/0.40 Following clause subsumed by 212 during input processing: 0 [demod,215,198,180,180,unit_del,98,100,102] {-} e0=e0.
% 0.19/0.40 Following clause subsumed by 212 during input processing: 0 [demod,215,198,180,215,unit_del,98,100,102] {-} e0=e0.
% 0.19/0.40 Following clause subsumed by 212 during input processing: 0 [demod,215,198,180,unit_del,98,100] {-} e0=e0|op(e3,e3)=e3.
% 0.19/0.40 Following clause subsumed by 212 during input processing: 0 [demod,215,198,215,198,unit_del,98,100,102] {-} e0=e0.
% 0.19/0.40 Following clause subsumed by 212 during input processing: 0 [demod,215,198,215,180,unit_del,98,100,102] {-} e0=e0.
% 0.19/0.40 Following clause subsumed by 212 during input processing: 0 [demod,215,198,215,215,unit_del,98,100,102] {-} e0=e0.
% 0.19/0.40 Following clause subsumed by 212 during input processing: 0 [demod,215,198,215,unit_del,98,100] {-} e0=e0|op(e3,e3)=e3.
% 0.19/0.40 Following clause subsumed by 212 during input processing: 0 [demod,215,198,198,unit_del,98,102] {-} e0=e0|op(e3,e3)=e2.
% 0.19/0.40 Following clause subsumed by 212 during input processing: 0 [demod,215,198,180,unit_del,98,102] {-} e0=e0|op(e3,e3)=e2.
% 0.19/0.40 Following clause subsumed by 212 during input processing: 0 [demod,215,198,215,unit_del,98,102] {-} e0=e0|op(e3,e3)=e2.
% 0.19/0.40 Following clause subsumed by 212 during input processing: 0 [demod,215,198,unit_del,98] {-} e0=e0|op(e3,e3)=e2|op(e3,e3)=e3.
% 0.19/0.40 Following clause subsumed by 212 during input processing: 0 [demod,215,180,198,198,unit_del,98,100,102] {-} e0=e0.
% 0.19/0.40 Following clause subsumed by 212 during input processing: 0 [demod,215,180,198,180,unit_del,98,100,102] {-} e0=e0.
% 0.19/0.40 Following clause subsumed by 212 during input processing: 0 [demod,215,180,198,215,unit_del,98,100,102] {-} e0=e0.
% 0.19/0.40 Following clause subsumed by 212 during input processing: 0 [demod,215,180,198,unit_del,98,100] {-} e0=e0|op(e3,e3)=e3.
% 0.19/0.40 Following clause subsumed by 212 during input processing: 0 [demod,215,180,180,198,unit_del,98,100,102] {-} e0=e0.
% 0.19/0.40 Following clause subsumed by 212 during input processing: 0 [demod,215,180,180,180,unit_del,98,100,102] {-} e0=e0.
% 0.19/0.40 Following clause subsumed by 212 during input processing: 0 [demod,215,180,180,215,unit_del,98,100,102] {-} e0=e0.
% 0.19/0.40 Following clause subsumed by 212 during input processing: 0 [demod,215,180,180,unit_del,98,100] {-} e0=e0|op(e3,e3)=e3.
% 0.19/0.40 Following clause subsumed by 212 during input processing: 0 [demod,215,180,215,198,unit_del,98,100,102] {-} e0=e0.
% 0.19/0.40 Following clause subsumed by 212 during input processing: 0 [demod,215,180,215,180,unit_del,98,100,102] {-} e0=e0.
% 0.19/0.40 Following clause subsumed by 212 during input processing: 0 [demod,215,180,215,215,unit_del,98,100,102] {-} e0=e0.
% 0.19/0.40 Following clause subsumed by 212 during input processing: 0 [demod,215,180,215,unit_del,98,100] {-} e0=e0|op(e3,e3)=e3.
% 0.19/0.40 Following clause subsumed by 212 during input processing: 0 [demod,215,180,198,unit_del,98,102] {-} e0=e0|op(e3,e3)=e2.
% 0.19/0.40 Following clause subsumed by 212 during input processing: 0 [demod,215,180,180,unit_del,98,102] {-} e0=e0|op(e3,e3)=e2.
% 0.19/0.40 Following clause subsumed by 212 during input processing: 0 [demod,215,180,215,unit_del,98,102] {-} e0=e0|op(e3,e3)=e2.
% 0.19/0.40 Following clause subsumed by 212 during input processing: 0 [demod,215,180,unit_del,98] {-} e0=e0|op(e3,e3)=e2|op(e3,e3)=e3.
% 0.19/0.40 Following clause subsumed by 212 during input processing: 0 [demod,215,215,198,198,unit_del,98,100,102] {-} e0=e0.
% 0.19/0.40 Following clause subsumed by 212 during input processing: 0 [demod,215,215,198,180,unit_del,98,100,102] {-} e0=e0.
% 0.19/0.40 Following clause subsumed by 212 during input processing: 0 [demod,215,215,198,215,unit_del,98,100,102] {-} e0=e0.
% 0.19/0.40 Following clause subsumed by 212 during input processing: 0 [demod,215,215,198,unit_del,98,100] {-} e0=e0|op(e3,e3)=e3.
% 0.19/0.40 Following clause subsumed by 212 during input processing: 0 [demod,215,215,180,198,unit_del,98,100,102] {-} e0=e0.
% 0.19/0.40 Following clause subsumed by 212 during input processing: 0 [demod,215,215,180,180,unit_del,98,100,102] {-} e0=e0.
% 0.19/0.40 Following clause subsumed by 212 during input processing: 0 [demod,215,215,180,215,unit_del,98,100,102] {-} e0=e0.
% 0.19/0.40 Following clause subsumed by 212 during input processing: 0 [demod,215,215,180,unit_del,98,100] {-} e0=e0|op(e3,e3)=e3.
% 0.19/0.40 Following clause subsumed by 212 during input processing: 0 [demod,215,215,215,198,unit_del,98,100,102] {-} e0=e0.
% 0.19/0.40 Following clause subsumed by 212 during input processing: 0 [demod,215,215,215,180,unit_del,98,100,102] {-} e0=e0.
% 0.19/0.40 Following clause subsumed by 212 during input processing: 0 [demod,215,215,215,215,unit_del,98,100,102] {-} e0=e0.
% 0.19/0.40 Following clause subsumed by 212 during input processing: 0 [demod,215,215,215,unit_del,98,100] {-} e0=e0|op(e3,e3)=e3.
% 0.19/0.40 Following clause subsumed by 212 during input processing: 0 [demod,215,215,198,unit_del,98,102] {-} e0=e0|op(e3,e3)=e2.
% 0.19/0.40 Following clause subsumed by 212 during input processing: 0 [demod,215,215,180,unit_del,98,102] {-} e0=e0|op(e3,e3)=e2.
% 0.19/0.40 Following clause subsumed by 212 during input processing: 0 [demod,215,215,215,unit_del,98,102] {-} e0=e0|op(e3,e3)=e2.
% 0.19/0.40 Following clause subsumed by 212 during input processing: 0 [demod,215,215,unit_del,98] {-} e0=e0|op(e3,e3)=e2|op(e3,e3)=e3.
% 0.19/0.40 Following clause subsumed by 212 during input processing: 0 [demod,215,198,198,unit_del,100,102] {-} e0=e0|op(e3,e3)=e1.
% 0.19/0.40 Following clause subsumed by 212 during input processing: 0 [demod,215,198,180,unit_del,100,102] {-} e0=e0|op(e3,e3)=e1.
% 0.19/0.40 Following clause subsumed by 212 during input processing: 0 [demod,215,198,215,unit_del,100,102] {-} e0=e0|op(e3,e3)=e1.
% 0.19/0.40 Following clause subsumed by 212 during input processing: 0 [demod,215,198,unit_del,100] {-} e0=e0|op(e3,e3)=e1|op(e3,e3)=e3.
% 0.19/0.40 Following clause subsumed by 212 during input processing: 0 [demod,215,180,198,unit_del,100,102] {-} e0=e0|op(e3,e3)=e1.
% 0.19/0.40 Following clause subsumed by 212 during input processing: 0 [demod,215,180,180,unit_del,100,102] {-} e0=e0|op(e3,e3)=e1.
% 0.19/0.40 Following clause subsumed by 212 during input processing: 0 [demod,215,180,215,unit_del,100,102] {-} e0=e0|op(e3,e3)=e1.
% 0.19/0.40 Following clause subsumed by 212 during input processing: 0 [demod,215,180,unit_del,100] {-} e0=e0|op(e3,e3)=e1|op(e3,e3)=e3.
% 0.19/0.40 Following clause subsumed by 212 during input processing: 0 [demod,215,215,198,unit_del,100,102] {-} e0=e0|op(e3,e3)=e1.
% 0.19/0.40 Following clause subsumed by 212 during input processing: 0 [demod,215,215,180,unit_del,100,102] {-} e0=e0|op(e3,e3)=e1.
% 0.19/0.40 Following clause subsumed by 212 during input processing: 0 [demod,215,215,215,unit_del,100,102] {-} e0=e0|op(e3,e3)=e1.
% 0.19/0.40 Following clause subsumed by 212 during input processing: 0 [demod,215,215,unit_del,100] {-} e0=e0|op(e3,e3)=e1|op(e3,e3)=e3.
% 0.19/0.40 Following clause subsumed by 212 during input processing: 0 [demod,215,198,unit_del,102] {-} e0=e0|op(e3,e3)=e1|op(e3,e3)=e2.
% 0.19/0.40 Following clause subsumed by 212 during input processing: 0 [demod,215,180,unit_del,102] {-} e0=e0|op(e3,e3)=e1|op(e3,e3)=e2.
% 0.19/0.40 Following clause subsumed by 212 during input processing: 0 [demod,215,215,unit_del,102] {-} e0=e0|op(e3,e3)=e1|op(e3,e3)=e2.
% 0.19/0.40 Following clause subsumed by 212 during input processing: 0 [demod,215] {-} e0=e0|op(e3,e3)=e1|op(e3,e3)=e2|op(e3,e3)=e3.
% 0.19/0.40 Following clause subsumed by 212 during input processing: 0 [demod,218,198,198,180,unit_del,98,100,102] {-} e0=e0.
% 0.19/0.40 Following clause subsumed by 212 during input processing: 0 [demod,218,198,198,215,unit_del,98,100,102] {-} e0=e0.
% 0.19/0.40 Following clause subsumed by 212 during input processing: 0 [demod,218,198,198,218,unit_del,98,100,102] {-} e0=e0.
% 0.19/0.40 Following clause subsumed by 212 during input processing: 0 [demod,218,198,180,198,unit_del,98,100,102] {-} e0=e0.
% 0.19/0.40 Following clause subsumed by 212 during input processing: 0 [demod,218,198,180,180,unit_del,98,100,102] {-} e0=e0.
% 0.19/0.40 Following clause subsumed by 212 during input processing: 0 [demod,218,198,180,215,unit_del,98,100,102] {-} e0=e0.
% 0.19/0.40 Following clause subsumed by 212 during input processing: 0 [demod,218,198,180,218,unit_del,98,100,102] {-} e0=e0.
% 0.19/0.40 Following clause subsumed by 212 during input processing: 0 [demod,218,198,215,198,unit_del,98,100,102] {-} e0=e0.
% 0.19/0.40 Following clause subsumed by 212 during input processing: 0 [demod,218,198,215,180,unit_del,98,100,102] {-} e0=e0.
% 0.19/0.40 Following clause subsumed by 212 during input processing: 0 [demod,218,198,215,215,unit_del,98,100,102] {-} e0=e0.
% 0.19/0.40 Following clause subsumed by 212 during input processing: 0 [demod,218,198,215,218,unit_del,98,100,102] {-} e0=e0.
% 0.19/0.40 Following clause subsumed by 212 during input processing: 0 [demod,218,198,218,198,unit_del,98,100,102] {-} e0=e0.
% 0.19/0.40 Following clause subsumed by 212 during input processing: 0 [demod,218,198,218,180,unit_del,98,100,102] {-} e0=e0.
% 0.19/0.40 Following clause subsumed by 212 during input processing: 0 [demod,218,198,218,215,unit_del,98,100,102] {-} e0=e0.
% 0.19/0.40 Following clause subsumed by 212 during input processing: 0 [demod,218,198,218,218,unit_del,98,100,102] {-} e0=e0.
% 0.19/0.40 Following clause subsumed by 212 during input processing: 0 [demod,218,180,198,198,unit_del,98,100,102] {-} e0=e0.
% 0.19/0.40 Following clause subsumed by 212 during input processing: 0 [demod,218,180,198,180,unit_del,98,100,102] {-} e0=e0.
% 0.19/0.40 Following clause subsumed by 212 during input processing: 0 [demod,218,180,198,215,unit_del,98,100,102] {-} e0=e0.
% 0.19/0.40 Following clause subsumed by 212 during input processing: 0 [demod,218,180,198,218,unit_del,98,100,102] {-} e0=e0.
% 0.19/0.40 Following clause subsumed by 212 during input processing: 0 [demod,218,180,180,198,unit_del,98,100,102] {-} e0=e0.
% 0.19/0.40 Following clause subsumed by 212 during input processing: 0 [demod,218,180,180,180,unit_del,98,100,102] {-} e0=e0.
% 0.19/0.40 Following clause subsumed by 212 during input processing: 0 [demod,218,180,180,215,unit_del,98,100,102] {-} e0=e0.
% 0.19/0.40 Following clause subsumed by 212 during input processing: 0 [demod,218,180,180,218,unit_del,98,100,102] {-} e0=e0.
% 0.19/0.40 Following clause subsumed by 212 during input processing: 0 [demod,218,180,215,198,unit_del,98,100,102] {-} e0=e0.
% 0.19/0.40 Following clause subsumed by 212 during input processing: 0 [demod,218,180,215,180,unit_del,98,100,102] {-} e0=e0.
% 0.19/0.40 Following clause subsumed by 212 during input processing: 0 [demod,218,180,215,215,unit_del,98,100,102] {-} e0=e0.
% 0.19/0.40 Following clause subsumed by 212 during input processing: 0 [demod,218,180,215,218,unit_del,98,100,102] {-} e0=e0.
% 0.19/0.40 Following clause subsumed by 212 during input processing: 0 [demod,218,180,218,198,unit_del,98,100,102] {-} e0=e0.
% 0.19/0.40 Following clause subsumed by 212 during input processing: 0 [demod,218,180,218,180,unit_del,98,100,102] {-} e0=e0.
% 0.19/0.40 Following clause subsumed by 212 during input processing: 0 [demod,218,180,218,215,unit_del,98,100,102] {-} e0=e0.
% 0.19/0.40 Following clause subsumed by 212 during input processing: 0 [demod,218,180,218,218,unit_del,98,100,102] {-} e0=e0.
% 0.19/0.40 Following clause subsumed by 212 during input processing: 0 [demod,218,215,198,198,unit_del,98,100,102] {-} e0=e0.
% 0.19/0.40 Following clause subsumed by 212 during input processing: 0 [demod,218,215,198,180,unit_del,98,100,102] {-} e0=e0.
% 0.19/0.40 Following clause subsumed by 212 during input processing: 0 [demod,218,215,198,215,unit_del,98,100,102] {-} e0=e0.
% 0.19/0.40 Following clause subsumed by 212 during input processing: 0 [demod,218,215,198,218,unit_del,98,100,102] {-} e0=e0.
% 0.19/0.40 Following clause subsumed by 212 during input processing: 0 [demod,218,215,180,198,unit_del,98,100,102] {-} e0=e0.
% 0.19/0.40 Following clause subsumed by 212 during input processing: 0 [demod,218,215,180,180,unit_del,98,100,102] {-} e0=e0.
% 0.19/0.40 Following clause subsumed by 212 during input processing: 0 [demod,218,215,180,215,unit_del,98,100,102] {-} e0=e0.
% 0.19/0.40 Following clause subsumed by 212 during input processing: 0 [demod,218,215,180,218,unit_del,98,100,102] {-} e0=e0.
% 0.19/0.40 Following clause subsumed by 212 during input processing: 0 [demod,218,215,215,198,unit_del,98,100,102] {-} e0=e0.
% 0.19/0.40 Following clause subsumed by 212 during input processing: 0 [demod,218,215,215,180,unit_del,98,100,102] {-} e0=e0.
% 0.19/0.40 Following clause subsumed by 212 during input processing: 0 [demod,218,215,215,215,unit_del,98,100,102] {-} e0=e0.
% 0.19/0.40 Following clause subsumed by 212 during input processing: 0 [demod,218,215,215,218,unit_del,98,100,102] {-} e0=e0.
% 0.19/0.40 Following clause subsumed by 212 during input processing: 0 [demod,218,215,218,198,unit_del,98,100,102] {-} e0=e0.
% 0.19/0.40 Following clause subsumed by 212 during input processing: 0 [demod,218,215,218,180,unit_del,98,100,102] {-} e0=e0.
% 0.19/0.40 Following clause
% 0.19/0.40 -------- PROOF --------
% 0.19/0.40 % SZS status Theorem
% 0.19/0.40 % SZS output start Refutation
% 0.19/0.40 subsumed by 212 during input processing: 0 [demod,218,215,218,215,unit_del,98,100,102] {-} e0=e0.
% 0.19/0.40 Following clause subsumed by 212 during input processing: 0 [demod,218,215,218,218,unit_del,98,100,102] {-} e0=e0.
% 0.19/0.40 Following clause subsumed by 212 during input processing: 0 [demod,218,218,198,198,unit_del,98,100,102] {-} e0=e0.
% 0.19/0.40 Following clause subsumed by 212 during input processing: 0 [demod,218,218,198,180,unit_del,98,100,102] {-} e0=e0.
% 0.19/0.40 Following clause subsumed by 212 during input processing: 0 [demod,218,218,198,215,unit_del,98,100,102] {-} e0=e0.
% 0.19/0.40 Following clause subsumed by 212 during input processing: 0 [demod,218,218,198,218,unit_del,98,100,102] {-} e0=e0.
% 0.19/0.40 Following clause subsumed by 212 during input processing: 0 [demod,218,218,180,198,unit_del,98,100,102] {-} e0=e0.
% 0.19/0.40 Following clause subsumed by 212 during input processing: 0 [demod,218,218,180,180,unit_del,98,100,102] {-} e0=e0.
% 0.19/0.40 Following clause subsumed by 212 during input processing: 0 [demod,218,218,180,215,unit_del,98,100,102] {-} e0=e0.
% 0.19/0.40 Following clause subsumed by 212 during input processing: 0 [demod,218,218,180,218,unit_del,98,100,102] {-} e0=e0.
% 0.19/0.40 Following clause subsumed by 212 during input processing: 0 [demod,218,218,215,198,unit_del,98,100,102] {-} e0=e0.
% 0.19/0.40 Following clause subsumed by 212 during input processing: 0 [demod,218,218,215,180,unit_del,98,100,102] {-} e0=e0.
% 0.19/0.40 Following clause subsumed by 212 during input processing: 0 [demod,218,218,215,215,unit_del,98,100,102] {-} e0=e0.
% 0.19/0.40 Following clause subsumed by 212 during input processing: 0 [demod,218,218,215,218,unit_del,98,100,102] {-} e0=e0.
% 0.19/0.40 Following clause subsumed by 212 during input processing: 0 [demod,218,218,218,198,unit_del,98,100,102] {-} e0=e0.
% 0.19/0.40 Following clause subsumed by 212 during input processing: 0 [demod,218,218,218,180,unit_del,98,100,102] {-} e0=e0.
% 0.19/0.40 Following clause subsumed by 212 during input processing: 0 [demod,218,218,218,215,unit_del,98,100,102] {-} e0=e0.
% 0.19/0.40 Following clause subsumed by 212 during input processing: 0 [demod,218,218,218,218,unit_del,98,100,102] {-} e0=e0.
% 0.19/0.40
% 0.19/0.40 -----> EMPTY CLAUSE at 0.04 sec ----> 225 [back_demod,109,demod,198,180,215,218,unit_del,219,219,219,219] {-} $F.
% 0.19/0.40
% 0.19/0.40 Length of proof is 7. Level of proof is 3.
% 0.19/0.40
% 0.19/0.40 ---------------- PROOF ----------------
% 0.19/0.40 % SZS status Theorem
% 0.19/0.40 % SZS output start Refutation
% 0.19/0.40
% 0.19/0.40 97 [] {-} e0!=e1.
% 0.19/0.40 98 [copy,97,flip.1] {-} e1!=e0.
% 0.19/0.40 99 [] {-} e0!=e2.
% 0.19/0.40 100 [copy,99,flip.1] {-} e2!=e0.
% 0.19/0.40 101 [] {-} e0!=e3.
% 0.19/0.40 102 [copy,101,flip.1] {-} e3!=e0.
% 0.19/0.40 109 [] {-} op(e0,e0)!=e0|op(e1,e1)!=e0|op(e2,e2)!=e0|op(e3,e3)!=e0.
% 0.19/0.40 178 [] {-} e0=op(e1,e1).
% 0.19/0.40 180,179 [copy,178,flip.1] {-} op(e1,e1)=e0.
% 0.19/0.40 196 [] {-} op(e0,e0)=e0|op(e1,e1)=e1|op(e1,e1)=e2|op(e1,e1)=e3.
% 0.19/0.40 198,197 [copy,196,demod,180,180,180,unit_del,98,100,102] {-} op(e0,e0)=e0.
% 0.19/0.40 213 [] {-} op(e2,e2)=e0|op(e0,e0)=e1|op(e0,e0)=e2|op(e0,e0)=e3.
% 0.19/0.40 215,214 [copy,213,demod,198,198,198,unit_del,98,100,102] {-} op(e2,e2)=e0.
% 0.19/0.40 216 [] {-} op(e3,e3)=e0|op(e0,e0)=e1|op(e0,e0)=e2|op(e0,e0)=e3.
% 0.19/0.40 218,217 [copy,216,demod,198,198,198,unit_del,98,100,102] {-} op(e3,e3)=e0.
% 0.19/0.40 219 [] {-} A=A.
% 0.19/0.40 225 [back_demod,109,demod,198,180,215,218,unit_del,219,219,219,219] {-} $F.
% 0.19/0.40
% 0.19/0.40 % SZS output end Refutation
% 0.19/0.40 ------------ end of proof -------------
% 0.19/0.40
% 0.19/0.40
% 0.19/0.40 Search stopped by max_proofs option.
% 0.19/0.40
% 0.19/0.40
% 0.19/0.40 Search stopped by max_proofs option.
% 0.19/0.40
% 0.19/0.40 ============ end of search ============
% 0.19/0.40
% 0.19/0.40 That finishes the proof of the theorem.
% 0.19/0.40
% 0.19/0.40 Process 30548 finished Wed Jun 8 21:17:20 2022
%------------------------------------------------------------------------------