0.11/0.12	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.11/0.12	% Command    : vampire --mode casc -t %d %s
0.12/0.33	% Computer   : n019.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   : 180
0.12/0.33	% DateTime   : Thu Aug 29 12:13:52 EDT 2019
0.12/0.33	% CPUTime    : 
0.12/0.40	% dis+11_6_add=large:afr=on:afp=100000:afq=1.2:amm=off:anc=none:cond=fast:gs=on:gsaa=from_current:gsem=off:irw=on:lma=on:lwlo=on:nm=64:nwc=1:sas=z3:sos=on:sp=occurrence:tha=off:thi=strong:updr=off_2 on theBenchmark
0.73/0.89	% Time limit reached!
0.73/0.89	% ------------------------------
0.73/0.89	% Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100)
0.73/0.89	% Termination reason: Time limit
0.73/0.89	% Termination phase: Saturation
0.73/0.89	
0.73/0.89	% Memory used [KB]: 6268
0.73/0.89	% Time elapsed: 0.500 s
0.73/0.89	% ------------------------------
0.73/0.89	% ------------------------------
0.74/0.96	% lrs+1010_4:1_aac=none:add=off:afp=40000:afq=1.0:amm=sco:anc=none:bd=off:cond=on:gs=on:gsem=on:irw=on:nm=0:nwc=2.5:sas=z3:stl=30:sos=theory:sp=reverse_arity:updr=off_11 on theBenchmark
2.33/2.56	% Time limit reached!
2.33/2.56	% ------------------------------
2.33/2.56	% Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100)
2.33/2.56	% Termination reason: Time limit
2.33/2.56	% Termination phase: Saturation
2.33/2.56	
2.33/2.56	% Memory used [KB]: 13304
2.33/2.56	% Time elapsed: 1.600 s
2.33/2.56	% ------------------------------
2.33/2.56	% ------------------------------
2.33/2.59	% dis-10_4:1_aac=none:add=off:afp=1000:afq=1.4:amm=off:anc=none:cond=fast:ep=RSTC:gs=on:gsaa=from_current:gsem=on:inw=on:lma=on:nm=64:nwc=4:sas=z3:tha=off:thi=strong:uwa=interpreted_only:updr=off:uhcvi=on_6 on theBenchmark
3.39/3.59	% Time limit reached!
3.39/3.59	% ------------------------------
3.39/3.59	% Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100)
3.39/3.59	% Termination reason: Time limit
3.39/3.59	% Termination phase: Saturation
3.39/3.59	
3.39/3.59	% Memory used [KB]: 6908
3.39/3.59	% Time elapsed: 1.0000 s
3.39/3.59	% ------------------------------
3.39/3.59	% ------------------------------
3.39/3.62	% lrs-11_1_av=off:cond=on:gs=on:lcm=reverse:lma=on:lwlo=on:nm=16:nwc=5:stl=30:sp=reverse_arity:tha=off:thi=strong:uwa=interpreted_only_74 on theBenchmark
13.46/13.41	% Time limit reached!
13.46/13.41	% ------------------------------
13.46/13.41	% Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100)
13.46/13.41	% Termination reason: Time limit
13.46/13.41	% Termination phase: Saturation
13.46/13.41	
13.46/13.41	% Memory used [KB]: 48485
13.46/13.41	% Time elapsed: 9.800 s
13.46/13.41	% ------------------------------
13.46/13.41	% ------------------------------
13.46/13.45	% dis+10_3:2_afr=on:afp=1000:afq=1.2:bd=off:irw=on:lcm=predicate:lwlo=on:nm=0:newcnf=on:nwc=2:sos=on:tha=off:thf=on:urr=ec_only_11 on theBenchmark
15.10/15.05	% Time limit reached!
15.10/15.05	% ------------------------------
15.10/15.05	% Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100)
15.10/15.05	% Termination reason: Time limit
15.10/15.05	% Termination phase: Saturation
15.10/15.05	
15.10/15.05	% Memory used [KB]: 100168
15.10/15.05	% Time elapsed: 1.600 s
15.10/15.05	% ------------------------------
15.10/15.05	% ------------------------------
15.10/15.08	% dis+1010_2:3_add=off:afr=on:afp=10000:afq=1.1:anc=none:fsr=off:gs=on:gsem=off:nwc=1:sas=z3:sos=all:sac=on:sp=reverse_arity:tha=off_9 on theBenchmark
16.40/16.38	% Time limit reached!
16.40/16.38	% ------------------------------
16.40/16.38	% Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100)
16.40/16.38	% Termination reason: Time limit
16.40/16.38	% Termination phase: Saturation
16.40/16.38	
16.40/16.38	% Memory used [KB]: 7291
16.40/16.38	% Time elapsed: 1.300 s
16.40/16.38	% ------------------------------
16.40/16.38	% ------------------------------
16.48/16.41	% lrs+1_2:3_afr=on:afp=1000:afq=1.1:amm=sco:anc=none:fsr=off:fde=none:gs=on:gsaa=full_model:gsem=on:lma=on:nm=64:nwc=1.3:sas=z3:stl=30:sac=on:tha=off:uwa=one_side_interpreted:updr=off_9 on theBenchmark
17.83/17.71	% Time limit reached!
17.83/17.71	% ------------------------------
17.83/17.71	% Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100)
17.83/17.71	% Termination reason: Time limit
17.83/17.71	% Termination phase: Saturation
17.83/17.71	
17.83/17.71	% Memory used [KB]: 11129
17.83/17.71	% Time elapsed: 1.300 s
17.83/17.71	% ------------------------------
17.83/17.71	% ------------------------------
17.83/17.74	% lrs+10_5:4_aac=none:add=large:afr=on:afp=100000:afq=1.1:anc=none:bd=off:bsr=on:er=known:fsr=off:lma=on:nm=0:nwc=1:sas=z3:stl=30:sos=on:updr=off_17 on theBenchmark
20.26/20.14	% Time limit reached!
20.26/20.14	% ------------------------------
20.26/20.14	% Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100)
20.26/20.14	% Termination reason: Time limit
20.26/20.14	% Termination phase: Saturation
20.26/20.14	
20.26/20.14	% Memory used [KB]: 2046
20.26/20.14	% Time elapsed: 2.400 s
20.26/20.14	% ------------------------------
20.26/20.14	% ------------------------------
20.26/20.17	% lrs+10_2_add=off:afr=on:afp=4000:afq=2.0:amm=off:anc=none:cond=fast:fsr=off:fde=unused:gs=on:gsaa=full_model:gsem=on:inw=on:nm=64:nwc=1:sas=z3:stl=30:sos=all:sp=occurrence:tha=off:thf=on:urr=on:updr=off:uhcvi=on_6 on theBenchmark
21.26/21.16	% Time limit reached!
21.26/21.16	% ------------------------------
21.26/21.16	% Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100)
21.26/21.16	% Termination reason: Time limit
21.26/21.16	% Termination phase: Saturation
21.26/21.16	
21.26/21.16	% Memory used [KB]: 5884
21.26/21.16	% Time elapsed: 1.0000 s
21.26/21.16	% ------------------------------
21.26/21.16	% ------------------------------
21.26/21.20	% lrs+1_5:4_aac=none:add=off:afr=on:afp=4000:afq=1.2:amm=sco:anc=none:gsp=input_only:gs=on:irw=on:nm=64:newcnf=on:nwc=1.3:nicw=on:sas=z3:stl=30:sp=occurrence:tha=off_34 on theBenchmark
25.97/25.79	% Time limit reached!
25.97/25.79	% ------------------------------
25.97/25.79	% Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100)
25.97/25.79	% Termination reason: Time limit
25.97/25.79	% Termination phase: Saturation
25.97/25.79	
25.97/25.79	% Memory used [KB]: 6524
25.97/25.79	% Time elapsed: 4.600 s
25.97/25.79	% ------------------------------
25.97/25.79	% ------------------------------
26.06/25.82	% dis+1002_4_add=off:afp=10000:afq=2.0:amm=off:anc=none:fsr=off:gsp=input_only:gs=on:gsem=on:irw=on:lwlo=on:nm=2:newcnf=on:nwc=1:sos=on:sac=on:sp=occurrence:tha=off:updr=off_3 on theBenchmark
26.06/25.83	% Refutation not found, incomplete strategy
26.06/25.83	% ------------------------------
26.06/25.83	% Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100)
26.06/25.83	% Termination reason: Refutation not found, incomplete strategy
26.06/25.83	
26.06/25.83	% Memory used [KB]: 9722
26.06/25.83	% Time elapsed: 0.005 s
26.06/25.83	% ------------------------------
26.06/25.83	% ------------------------------
26.06/25.86	% lrs+1011_1_add=off:afp=100000:afq=1.0:anc=none:cond=on:gs=on:gsaa=from_current:gsem=on:inw=on:lma=on:nm=64:newcnf=on:nwc=1:sas=z3:stl=30:sos=on:sp=occurrence:tha=off:uwa=ground_3 on theBenchmark
26.66/26.45	% Time limit reached!
26.66/26.45	% ------------------------------
26.66/26.45	% Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100)
26.66/26.45	% Termination reason: Time limit
26.66/26.45	% Termination phase: Saturation
26.66/26.45	
26.66/26.45	% Memory used [KB]: 11897
26.66/26.45	% Time elapsed: 0.600 s
26.66/26.45	% ------------------------------
26.66/26.45	% ------------------------------
26.66/26.48	% dis+1_3:1_acc=on:afp=100000:afq=1.1:amm=off:anc=none:bd=off:cond=on:fsr=off:gs=on:inw=on:lma=on:nm=32:nwc=1:urr=on_2 on theBenchmark
27.19/26.98	% Time limit reached!
27.19/26.98	% ------------------------------
27.19/26.98	% Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100)
27.19/26.98	% Termination reason: Time limit
27.19/26.98	% Termination phase: Saturation
27.19/26.98	
27.19/26.98	% Memory used [KB]: 42728
27.19/26.98	% Time elapsed: 0.500 s
27.19/26.98	% ------------------------------
27.19/26.98	% ------------------------------
27.27/27.01	% dis+1010_4_add=off:afp=100000:afq=1.0:anc=none:fsr=off:gs=on:gsem=off:inw=on:irw=on:lma=on:nm=64:nwc=1:sas=z3:sos=on:sac=on:tha=off:thf=on_179 on theBenchmark
27.27/27.05	% Refutation not found, incomplete strategy
27.27/27.05	% ------------------------------
27.27/27.05	% Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100)
27.27/27.05	% Termination reason: Refutation not found, incomplete strategy
27.27/27.05	
27.27/27.05	% Memory used [KB]: 5245
27.27/27.05	% Time elapsed: 0.034 s
27.27/27.05	% ------------------------------
27.27/27.05	% ------------------------------
27.27/27.08	% dis+1002_4_add=large:afp=40000:afq=1.0:anc=none:cond=fast:fde=none:gs=on:gsaa=full_model:lma=on:lwlo=on:nm=0:nwc=1.5:sas=z3:sp=reverse_arity:tha=off:thi=strong_17 on theBenchmark
29.74/29.47	% Time limit reached!
29.74/29.47	% ------------------------------
29.74/29.47	% Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100)
29.74/29.47	% Termination reason: Time limit
29.74/29.47	% Termination phase: Saturation
29.74/29.47	
29.74/29.47	% Memory used [KB]: 8443
29.74/29.47	% Time elapsed: 2.400 s
29.74/29.47	% ------------------------------
29.74/29.47	% ------------------------------
29.79/29.51	% lrs+10_8:1_aac=none:add=off:afr=on:afp=40000:afq=1.1:amm=off:anc=none:bd=off:cond=on:fsr=off:fde=none:gs=on:gsem=off:nm=0:nwc=1.2:sas=z3:stl=30:sos=all:sp=reverse_arity:tha=off:updr=off_68 on theBenchmark
38.92/38.51	% Time limit reached!
38.92/38.51	% ------------------------------
38.92/38.51	% Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100)
38.92/38.51	% Termination reason: Time limit
38.92/38.51	% Termination phase: Saturation
38.92/38.51	
38.92/38.51	% Memory used [KB]: 7547
38.92/38.51	% Time elapsed: 9.0000 s
38.92/38.51	% ------------------------------
38.92/38.51	% ------------------------------
38.92/38.54	% dis+1011_5_aac=none:add=large:afp=40000:afq=1.2:amm=off:anc=none:bd=off:fsr=off:gsp=input_only:inw=on:irw=on:lma=on:nm=64:nwc=1:sas=z3:sos=on:sp=occurrence:tha=off:updr=off_26 on theBenchmark
42.52/42.04	% Time limit reached!
42.52/42.04	% ------------------------------
42.52/42.04	% Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100)
42.52/42.04	% Termination reason: Time limit
42.52/42.04	% Termination phase: Saturation
42.52/42.04	
42.52/42.04	% Memory used [KB]: 895
42.52/42.04	% Time elapsed: 3.500 s
42.52/42.04	% ------------------------------
42.52/42.04	% ------------------------------
42.52/42.06	% dis-2_2:3_add=large:afp=40000:afq=1.4:amm=off:anc=none:gsp=input_only:gs=on:gsem=on:inw=on:lcm=reverse:lma=on:nm=2:nwc=1:nicw=on:sas=z3:sos=all:sp=reverse_arity:tha=off:urr=on_5 on theBenchmark
43.40/42.96	% Time limit reached!
43.40/42.96	% ------------------------------
43.40/42.96	% Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100)
43.40/42.96	% Termination reason: Time limit
43.40/42.96	% Termination phase: Saturation
43.40/42.96	
43.40/42.96	% Memory used [KB]: 5884
43.40/42.96	% Time elapsed: 0.900 s
43.40/42.96	% ------------------------------
43.40/42.96	% ------------------------------
43.48/42.99	% ott+10_8_add=large:afp=100000:afq=1.4:amm=sco:cond=fast:fsr=off:fde=none:lcm=predicate:lma=on:nm=32:nwc=1:sos=on:sac=on:tha=off:updr=off_29 on theBenchmark
47.45/46.89	% Time limit reached!
47.45/46.89	% ------------------------------
47.45/46.89	% Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100)
47.45/46.89	% Termination reason: Time limit
47.45/46.89	% Termination phase: Saturation
47.45/46.89	
47.45/46.89	% Memory used [KB]: 145072
47.45/46.89	% Time elapsed: 3.900 s
47.45/46.89	% ------------------------------
47.45/46.89	% ------------------------------
47.45/46.93	% dis-3_4_add=off:afp=40000:afq=1.1:amm=off:anc=none:bs=unit_only:cond=fast:fsr=off:gs=on:inw=on:lma=on:nm=64:nwc=1.5:nicw=on:sas=z3:sp=reverse_arity:tha=off:thf=on:uhcvi=on_13 on theBenchmark
49.28/48.73	% Time limit reached!
49.28/48.73	% ------------------------------
49.28/48.73	% Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100)
49.28/48.73	% Termination reason: Time limit
49.28/48.73	% Termination phase: Saturation
49.28/48.73	
49.28/48.73	% Memory used [KB]: 6908
49.28/48.73	% Time elapsed: 1.800 s
49.28/48.73	% ------------------------------
49.28/48.73	% ------------------------------
49.28/48.75	% ott+10_3:2_aac=none:add=large:afp=10000:afq=2.0:amm=off:fsr=off:fde=none:gs=on:gsaa=from_current:gsem=off:lcm=reverse:lma=on:nm=0:nwc=4:sas=z3:updr=off_11 on theBenchmark
50.92/50.35	% Time limit reached!
50.92/50.35	% ------------------------------
50.92/50.35	% Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100)
50.92/50.35	% Termination reason: Time limit
50.92/50.35	% Termination phase: Saturation
50.92/50.35	
50.92/50.35	% Memory used [KB]: 9210
50.92/50.35	% Time elapsed: 1.600 s
50.92/50.35	% ------------------------------
50.92/50.35	% ------------------------------
50.92/50.37	% dis-1_2:1_afr=on:afp=10000:afq=2.0:anc=none:cond=on:fsr=off:fde=unused:gs=on:gsaa=full_model:gsem=on:inw=on:irw=on:lcm=predicate:lma=on:nm=32:nwc=1:sas=z3:sos=all:sp=reverse_arity:tha=off:uwa=ground_4 on theBenchmark
51.76/51.17	% Time limit reached!
51.76/51.17	% ------------------------------
51.76/51.17	% Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100)
51.76/51.17	% Termination reason: Time limit
51.76/51.17	% Termination phase: Saturation
51.76/51.17	
51.76/51.17	% Memory used [KB]: 7164
51.76/51.17	% Time elapsed: 0.800 s
51.76/51.17	% ------------------------------
51.76/51.17	% ------------------------------
51.76/51.20	% dis+1_3_add=large:afp=4000:afq=1.0:anc=none:gs=on:gsem=off:inw=on:lcm=reverse:lwlo=on:nm=64:nwc=1:sas=z3:sos=all:sac=on:thi=all:uwa=all:updr=off:uhcvi=on_12 on theBenchmark
53.56/52.90	% Time limit reached!
53.56/52.90	% ------------------------------
53.56/52.90	% Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100)
53.56/52.90	% Termination reason: Time limit
53.56/52.90	% Termination phase: Saturation
53.56/52.90	
53.56/52.90	% Memory used [KB]: 6908
53.56/52.90	% Time elapsed: 1.700 s
53.56/52.90	% ------------------------------
53.56/52.90	% ------------------------------
53.56/52.92	% ott+1004_5_av=off:bd=off:bs=on:cond=on:fde=none:lma=on:nm=64:nwc=1:sos=on:sp=reverse_arity:tha=off:thi=strong:uwa=one_side_constant_143 on theBenchmark
72.53/71.62	% Time limit reached!
72.53/71.62	% ------------------------------
72.53/71.62	% Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100)
72.53/71.62	% Termination reason: Time limit
72.53/71.62	% Termination phase: Saturation
72.53/71.62	
72.53/71.62	% Memory used [KB]: 51299
72.53/71.62	% Time elapsed: 18.700 s
72.53/71.62	% ------------------------------
72.53/71.62	% ------------------------------
72.53/71.65	% lrs+10_4:1_av=off:bd=off:bsr=on:cond=on:fde=unused:inw=on:lcm=reverse:lma=on:lwlo=on:nm=64:nwc=5:stl=90:sp=reverse_arity:thi=strong:uwa=ground:updr=off:uwaf=on_359 on theBenchmark
114.26/112.61	% Refutation found. Thanks to Tanya!
114.26/112.61	% SZS status Theorem for theBenchmark
114.26/112.61	% SZS output start Proof for theBenchmark
114.26/112.61	tff(type_def_5, type, uni: $tType).
114.26/112.61	tff(type_def_6, type, ty: $tType).
114.26/112.61	tff(type_def_7, type, bool1: $tType).
114.26/112.61	tff(type_def_8, type, tuple02: $tType).
114.26/112.61	tff(func_def_0, type, witness1: ty > uni).
114.26/112.61	tff(func_def_1, type, int: ty).
114.26/112.61	tff(func_def_2, type, real: ty).
114.26/112.61	tff(func_def_3, type, bool: ty).
114.26/112.61	tff(func_def_4, type, true1: bool1).
114.26/112.61	tff(func_def_5, type, false1: bool1).
114.26/112.61	tff(func_def_6, type, match_bool1: (ty * bool1 * uni * uni) > uni).
114.26/112.61	tff(func_def_7, type, tuple0: ty).
114.26/112.61	tff(func_def_8, type, tuple03: tuple02).
114.26/112.61	tff(func_def_9, type, qtmark: ty).
114.26/112.61	tff(func_def_10, type, abs1: $int > $int).
114.26/112.61	tff(func_def_11, type, div1: ($int * $int) > $int).
114.26/112.61	tff(func_def_12, type, mod1: ($int * $int) > $int).
114.26/112.61	tff(func_def_13, type, ref: ty > ty).
114.26/112.61	tff(func_def_14, type, mk_ref: (ty * uni) > uni).
114.26/112.61	tff(func_def_15, type, contents: (ty * uni) > uni).
114.26/112.61	tff(func_def_23, type, sK0: $int).
114.26/112.61	tff(func_def_24, type, sK1: $int).
114.26/112.61	tff(func_def_25, type, sK2: $int).
114.26/112.61	tff(func_def_26, type, '$inst3': $int).
114.26/112.61	tff(func_def_28, type, '$inst4': $int).
114.26/112.61	tff(func_def_29, type, '$inst5': $int).
114.26/112.61	tff(func_def_32, type, '$inst6': $int).
114.26/112.61	tff(func_def_34, type, '$inst7': $int).
114.26/112.61	tff(func_def_40, type, '$inst8': $int).
114.26/112.61	tff(pred_def_1, type, sort1: (ty * uni) > $o).
114.26/112.61	tff(f4,axiom,(
114.26/112.61	  ! [X2 : $int] : (($lesseq(0,X2) => abs1(X2) = X2) & (~$lesseq(0,X2) => abs1(X2) = $uminus(X2)))),
114.26/112.61	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',abs_def)).
114.26/112.61	tff(f6,axiom,(
114.26/112.61	  ! [X2 : $int,X5 : $int] : (0 != X5 => ($less(mod1(X2,X5),abs1(X5)) & $less($uminus(abs1(X5)),mod1(X2,X5))))),
114.26/112.61	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mod_bound)).
114.26/112.61	tff(f7,axiom,(
114.26/112.61	  ! [X2 : $int,X5 : $int,X3 : $int] : ($lesseq(X2,X5) => ($lesseq(0,X3) => $lesseq($product(X2,X3),$product(X5,X3))))),
114.26/112.61	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',compatOrderMult)).
114.26/112.61	tff(f10,axiom,(
114.26/112.61	  ! [X2 : $int,X5 : $int,X3 : $int] : (($lesseq(0,X3) & $lesseq(0,X5) & $less(0,X2)) => mod1(X3,X2) = mod1($sum($product(X2,X5),X3),X2))),
114.26/112.61	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mod_mult)).
114.26/112.61	tff(f12,conjecture,(
114.26/112.61	  ! [X2 : $int] : ($lesseq(0,X2) => (0 != X2 => (~$lesseq(X2,3) => ! [X3 : $int,X5 : $int] : (($less(0,X3) & $less(0,X5) & div1($sum(div1(X2,X5),X5),2) = X3 & $less(X2,$product($sum(X3,1),$sum(X3,1))) & $less(X2,$product($sum(X5,1),$sum(X5,1)))) => (~$less(X3,X5) => ($lesseq($product(X5,X5),X2) & $less(X2,$product($sum(X5,1),$sum(X5,1)))))))))),
114.26/112.61	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',wP_parameter_sqrt)).
114.26/112.61	tff(f13,negated_conjecture,(
114.26/112.61	  ~! [X2 : $int] : ($lesseq(0,X2) => (0 != X2 => (~$lesseq(X2,3) => ! [X3 : $int,X5 : $int] : (($less(0,X3) & $less(0,X5) & div1($sum(div1(X2,X5),X5),2) = X3 & $less(X2,$product($sum(X3,1),$sum(X3,1))) & $less(X2,$product($sum(X5,1),$sum(X5,1)))) => (~$less(X3,X5) => ($lesseq($product(X5,X5),X2) & $less(X2,$product($sum(X5,1),$sum(X5,1)))))))))),
114.26/112.61	  inference(negated_conjecture,[],[f12])).
114.26/112.61	tff(f17,axiom,(
114.26/112.61	  ! [X2 : $int] : $lesseq(0,abs1(X2))),
114.26/112.61	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',abs_pos)).
114.26/112.61	tff(f20,axiom,(
114.26/112.61	  ! [X2 : $int,X5 : $int] : ($lesseq(abs1(X2),X5) <=> ($lesseq($uminus(X5),X2) & $lesseq(X2,X5)))),
114.26/112.61	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',abs_le)).
114.26/112.61	tff(f22,axiom,(
114.26/112.61	  ! [X2 : $int,X5 : $int] : (0 != X5 => $lesseq(abs1($product(div1(X2,X5),X5)),abs1(X2)))),
114.26/112.61	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rounds_toward_zero)).
114.26/112.61	tff(f23,axiom,(
114.26/112.61	  ! [X2 : $int,X5 : $int] : (($less(X2,X5) & $lesseq(0,X2)) => mod1(X2,X5) = X2)),
114.26/112.61	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mod_inf)).
114.26/112.61	tff(f24,axiom,(
114.26/112.61	  ! [X2 : $int,X5 : $int] : (($less(0,X5) & $lesseq(X2,0)) => $lesseq(div1(X2,X5),0))),
114.26/112.61	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',div_sign_neg)).
114.26/112.61	tff(f25,axiom,(
114.26/112.61	  ! [X2 : $int,X5 : $int] : (0 != X5 => $sum($product(X5,div1(X2,X5)),mod1(X2,X5)) = X2)),
114.26/112.61	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',div_mod)).
114.26/112.61	tff(f26,axiom,(
114.26/112.61	  ! [X2 : $int] : div1(X2,1) = X2),
114.26/112.61	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',div_1)).
114.26/112.61	tff(f32,plain,(
114.26/112.61	  ( ! [X0:$int,X1:$int] : ($sum(X0,X1) = $sum(X1,X0)) )),
114.26/112.61	  introduced(theory_axiom,[])).
114.26/112.61	tff(f34,plain,(
114.26/112.61	  ( ! [X0:$int] : ($sum(X0,0) = X0) )),
114.26/112.61	  introduced(theory_axiom,[])).
114.26/112.61	tff(f37,plain,(
114.26/112.61	  ( ! [X0:$int] : (~$less(X0,X0)) )),
114.26/112.61	  introduced(theory_axiom,[])).
114.26/112.61	tff(f38,plain,(
114.26/112.61	  ( ! [X2:$int,X0:$int,X1:$int] : (~$less(X1,X2) | ~$less(X0,X1) | $less(X0,X2)) )),
114.26/112.61	  introduced(theory_axiom,[])).
114.26/112.61	tff(f39,plain,(
114.26/112.61	  ( ! [X0:$int,X1:$int] : ($less(X1,X0) | $less(X0,X1) | X0 = X1) )),
114.26/112.61	  introduced(theory_axiom,[])).
114.26/112.61	tff(f40,plain,(
114.26/112.61	  ( ! [X2:$int,X0:$int,X1:$int] : ($less($sum(X0,X2),$sum(X1,X2)) | ~$less(X0,X1)) )),
114.26/112.61	  introduced(theory_axiom,[])).
114.26/112.61	tff(f43,plain,(
114.26/112.61	  ( ! [X0:$int,X1:$int] : ($product(X0,X1) = $product(X1,X0)) )),
114.26/112.61	  introduced(theory_axiom,[])).
114.26/112.61	tff(f44,plain,(
114.26/112.61	  ( ! [X2:$int,X0:$int,X1:$int] : ($product(X0,$product(X1,X2)) = $product($product(X0,X1),X2)) )),
114.26/112.61	  introduced(theory_axiom,[])).
114.26/112.61	tff(f45,plain,(
114.26/112.61	  ( ! [X0:$int] : ($product(X0,1) = X0) )),
114.26/112.61	  introduced(theory_axiom,[])).
114.26/112.61	tff(f47,plain,(
114.26/112.61	  ( ! [X2:$int,X0:$int,X1:$int] : ($product(X0,$sum(X1,X2)) = $sum($product(X0,X1),$product(X0,X2))) )),
114.26/112.61	  introduced(theory_axiom,[])).
114.26/112.61	tff(f48,plain,(
114.26/112.61	  ( ! [X2:$int,X0:$int,X3:$int,X1:$int] : (0 = X0 | $product(X0,X2) != X1 | $product(X0,X3) != X1 | X2 = X3) )),
114.26/112.61	  introduced(theory_axiom,[])).
114.26/112.61	tff(f50,plain,(
114.26/112.61	  ~! [X2 : $int] : (~$less(X2,0) => (0 != X2 => ($less(3,X2) => ! [X3 : $int,X5 : $int] : (($less(0,X3) & $less(0,X5) & div1($sum(div1(X2,X5),X5),2) = X3 & $less(X2,$product($sum(X3,1),$sum(X3,1))) & $less(X2,$product($sum(X5,1),$sum(X5,1)))) => (~$less(X3,X5) => (~$less(X2,$product(X5,X5)) & $less(X2,$product($sum(X5,1),$sum(X5,1)))))))))),
114.26/112.61	  inference(evaluation,[],[f13])).
114.26/112.61	tff(f51,plain,(
114.26/112.61	  ! [X2 : $int] : ~$less(abs1(X2),0)),
114.26/112.61	  inference(evaluation,[],[f17])).
114.26/112.61	tff(f52,plain,(
114.26/112.61	  ! [X2 : $int] : ((~$less(X2,0) => abs1(X2) = X2) & ($less(X2,0) => abs1(X2) = $uminus(X2)))),
114.26/112.61	  inference(evaluation,[],[f4])).
114.26/112.61	tff(f53,plain,(
114.26/112.61	  ! [X2 : $int,X5 : $int] : (0 != X5 => ~$less(abs1(X2),abs1($product(div1(X2,X5),X5))))),
114.26/112.61	  inference(evaluation,[],[f22])).
114.26/112.61	tff(f58,plain,(
114.26/112.61	  ! [X2 : $int,X5 : $int] : (($less(0,X5) & ~$less(0,X2)) => ~$less(0,div1(X2,X5)))),
114.26/112.61	  inference(evaluation,[],[f24])).
114.26/112.61	tff(f59,plain,(
114.26/112.61	  ! [X2 : $int,X5 : $int] : (($less(X2,X5) & ~$less(X2,0)) => mod1(X2,X5) = X2)),
114.26/112.61	  inference(evaluation,[],[f23])).
114.26/112.61	tff(f61,plain,(
114.26/112.61	  ! [X2 : $int,X5 : $int] : (~$less(X5,abs1(X2)) <=> (~$less(X2,$uminus(X5)) & ~$less(X5,X2)))),
114.26/112.61	  inference(evaluation,[],[f20])).
114.26/112.61	tff(f62,plain,(
114.26/112.61	  ! [X2 : $int,X5 : $int,X3 : $int] : (~$less(X5,X2) => (~$less(X3,0) => ~$less($product(X5,X3),$product(X2,X3))))),
114.26/112.61	  inference(evaluation,[],[f7])).
114.26/112.61	tff(f63,plain,(
114.26/112.61	  ! [X2 : $int,X5 : $int,X3 : $int] : ((~$less(X3,0) & ~$less(X5,0) & $less(0,X2)) => mod1(X3,X2) = mod1($sum($product(X2,X5),X3),X2))),
114.26/112.61	  inference(evaluation,[],[f10])).
114.26/112.61	tff(f65,plain,(
114.26/112.61	  ~! [X0 : $int] : (~$less(X0,0) => (0 != X0 => ($less(3,X0) => ! [X1 : $int,X2 : $int] : (($less(0,X1) & $less(0,X2) & div1($sum(div1(X0,X2),X2),2) = X1 & $less(X0,$product($sum(X1,1),$sum(X1,1))) & $less(X0,$product($sum(X2,1),$sum(X2,1)))) => (~$less(X1,X2) => (~$less(X0,$product(X2,X2)) & $less(X0,$product($sum(X2,1),$sum(X2,1)))))))))),
114.26/112.61	  inference(rectify,[],[f50])).
114.26/112.61	tff(f67,plain,(
114.26/112.61	  ! [X0 : $int] : ~$less(abs1(X0),0)),
114.26/112.61	  inference(rectify,[],[f51])).
114.26/112.61	tff(f68,plain,(
114.26/112.61	  ! [X0 : $int] : div1(X0,1) = X0),
114.26/112.61	  inference(rectify,[],[f26])).
114.26/112.61	tff(f70,plain,(
114.26/112.61	  ! [X0 : $int] : ((~$less(X0,0) => abs1(X0) = X0) & ($less(X0,0) => abs1(X0) = $uminus(X0)))),
114.26/112.61	  inference(rectify,[],[f52])).
114.26/112.61	tff(f74,plain,(
114.26/112.61	  ! [X0 : $int,X1 : $int] : (0 != X1 => ~$less(abs1(X0),abs1($product(div1(X0,X1),X1))))),
114.26/112.61	  inference(rectify,[],[f53])).
114.26/112.61	tff(f75,plain,(
114.26/112.61	  ! [X0 : $int,X1 : $int] : (0 != X1 => $sum($product(X1,div1(X0,X1)),mod1(X0,X1)) = X0)),
114.26/112.61	  inference(rectify,[],[f25])).
114.26/112.61	tff(f76,plain,(
114.26/112.61	  ! [X0 : $int,X1 : $int] : (0 != X1 => ($less(mod1(X0,X1),abs1(X1)) & $less($uminus(abs1(X1)),mod1(X0,X1))))),
114.26/112.61	  inference(rectify,[],[f6])).
114.26/112.61	tff(f81,plain,(
114.26/112.61	  ! [X0 : $int,X1 : $int] : (($less(0,X1) & ~$less(0,X0)) => ~$less(0,div1(X0,X1)))),
114.26/112.61	  inference(rectify,[],[f58])).
114.26/112.61	tff(f82,plain,(
114.26/112.61	  ! [X0 : $int,X1 : $int] : (($less(X0,X1) & ~$less(X0,0)) => mod1(X0,X1) = X0)),
114.26/112.61	  inference(rectify,[],[f59])).
114.26/112.61	tff(f84,plain,(
114.26/112.61	  ! [X0 : $int,X1 : $int] : (~$less(X1,abs1(X0)) <=> (~$less(X0,$uminus(X1)) & ~$less(X1,X0)))),
114.26/112.61	  inference(rectify,[],[f61])).
114.26/112.61	tff(f87,plain,(
114.26/112.61	  ! [X0 : $int,X1 : $int,X2 : $int] : (~$less(X1,X0) => (~$less(X2,0) => ~$less($product(X1,X2),$product(X0,X2))))),
114.26/112.61	  inference(rectify,[],[f62])).
114.26/112.61	tff(f88,plain,(
114.26/112.61	  ! [X0 : $int,X1 : $int,X2 : $int] : ((~$less(X2,0) & ~$less(X1,0) & $less(0,X0)) => mod1(X2,X0) = mod1($sum($product(X0,X1),X2),X0))),
114.26/112.61	  inference(rectify,[],[f63])).
114.26/112.61	tff(f91,plain,(
114.26/112.61	  ? [X0 : $int] : (((? [X1 : $int,X2 : $int] : ((($less(X0,$product(X2,X2)) | ~$less(X0,$product($sum(X2,1),$sum(X2,1)))) & ~$less(X1,X2)) & ($less(0,X1) & $less(0,X2) & div1($sum(div1(X0,X2),X2),2) = X1 & $less(X0,$product($sum(X1,1),$sum(X1,1))) & $less(X0,$product($sum(X2,1),$sum(X2,1))))) & $less(3,X0)) & 0 != X0) & ~$less(X0,0))),
114.26/112.61	  inference(ennf_transformation,[],[f65])).
114.26/112.61	tff(f92,plain,(
114.26/112.61	  ? [X0 : $int] : (? [X1 : $int,X2 : $int] : (($less(X0,$product(X2,X2)) | ~$less(X0,$product($sum(X2,1),$sum(X2,1)))) & ~$less(X1,X2) & $less(0,X1) & $less(0,X2) & div1($sum(div1(X0,X2),X2),2) = X1 & $less(X0,$product($sum(X1,1),$sum(X1,1))) & $less(X0,$product($sum(X2,1),$sum(X2,1)))) & $less(3,X0) & 0 != X0 & ~$less(X0,0))),
114.26/112.61	  inference(flattening,[],[f91])).
114.26/112.61	tff(f93,plain,(
114.26/112.61	  ! [X0 : $int] : ((abs1(X0) = X0 | $less(X0,0)) & (abs1(X0) = $uminus(X0) | ~$less(X0,0)))),
114.26/112.61	  inference(ennf_transformation,[],[f70])).
114.26/112.61	tff(f94,plain,(
114.26/112.61	  ! [X0 : $int,X1 : $int] : (~$less(abs1(X0),abs1($product(div1(X0,X1),X1))) | 0 = X1)),
114.26/112.61	  inference(ennf_transformation,[],[f74])).
114.26/112.61	tff(f95,plain,(
114.26/112.61	  ! [X0 : $int,X1 : $int] : ($sum($product(X1,div1(X0,X1)),mod1(X0,X1)) = X0 | 0 = X1)),
114.26/112.61	  inference(ennf_transformation,[],[f75])).
114.26/112.61	tff(f96,plain,(
114.26/112.61	  ! [X0 : $int,X1 : $int] : (($less(mod1(X0,X1),abs1(X1)) & $less($uminus(abs1(X1)),mod1(X0,X1))) | 0 = X1)),
114.26/112.61	  inference(ennf_transformation,[],[f76])).
114.26/112.61	tff(f107,plain,(
114.26/112.61	  ! [X0 : $int,X1 : $int] : (~$less(0,div1(X0,X1)) | (~$less(0,X1) | $less(0,X0)))),
114.26/112.61	  inference(ennf_transformation,[],[f81])).
114.26/112.61	tff(f108,plain,(
114.26/112.61	  ! [X0 : $int,X1 : $int] : (~$less(0,div1(X0,X1)) | ~$less(0,X1) | $less(0,X0))),
114.26/112.61	  inference(flattening,[],[f107])).
114.26/112.61	tff(f109,plain,(
114.26/112.61	  ! [X0 : $int,X1 : $int] : (mod1(X0,X1) = X0 | (~$less(X0,X1) | $less(X0,0)))),
114.26/112.61	  inference(ennf_transformation,[],[f82])).
114.26/112.61	tff(f110,plain,(
114.26/112.61	  ! [X0 : $int,X1 : $int] : (mod1(X0,X1) = X0 | ~$less(X0,X1) | $less(X0,0))),
114.26/112.61	  inference(flattening,[],[f109])).
114.26/112.61	tff(f115,plain,(
114.26/112.61	  ! [X0 : $int,X1 : $int,X2 : $int] : ((~$less($product(X1,X2),$product(X0,X2)) | $less(X2,0)) | $less(X1,X0))),
114.26/112.61	  inference(ennf_transformation,[],[f87])).
114.26/112.61	tff(f116,plain,(
114.26/112.61	  ! [X0 : $int,X1 : $int,X2 : $int] : (~$less($product(X1,X2),$product(X0,X2)) | $less(X2,0) | $less(X1,X0))),
114.26/112.61	  inference(flattening,[],[f115])).
114.26/112.61	tff(f117,plain,(
114.26/112.61	  ! [X0 : $int,X1 : $int,X2 : $int] : (mod1(X2,X0) = mod1($sum($product(X0,X1),X2),X0) | ($less(X2,0) | $less(X1,0) | ~$less(0,X0)))),
114.26/112.61	  inference(ennf_transformation,[],[f88])).
114.26/112.61	tff(f118,plain,(
114.26/112.61	  ! [X0 : $int,X1 : $int,X2 : $int] : (mod1(X2,X0) = mod1($sum($product(X0,X1),X2),X0) | $less(X2,0) | $less(X1,0) | ~$less(0,X0))),
114.26/112.61	  inference(flattening,[],[f117])).
114.26/112.61	tff(f121,plain,(
114.26/112.61	  ? [X0 : $int] : (? [X1 : $int,X2 : $int] : (($less(X0,$product(X2,X2)) | ~$less(X0,$product($sum(X2,1),$sum(X2,1)))) & ~$less(X1,X2) & $less(0,X1) & $less(0,X2) & div1($sum(div1(X0,X2),X2),2) = X1 & $less(X0,$product($sum(X1,1),$sum(X1,1))) & $less(X0,$product($sum(X2,1),$sum(X2,1)))) & $less(3,X0) & 0 != X0 & ~$less(X0,0)) => (? [X2 : $int,X1 : $int] : (($less(sK0,$product(X2,X2)) | ~$less(sK0,$product($sum(X2,1),$sum(X2,1)))) & ~$less(X1,X2) & $less(0,X1) & $less(0,X2) & div1($sum(div1(sK0,X2),X2),2) = X1 & $less(sK0,$product($sum(X1,1),$sum(X1,1))) & $less(sK0,$product($sum(X2,1),$sum(X2,1)))) & $less(3,sK0) & 0 != sK0 & ~$less(sK0,0))),
114.26/112.61	  introduced(choice_axiom,[])).
114.26/112.61	tff(f122,plain,(
114.26/112.61	  ( ! [X0:$int] : (? [X1 : $int,X2 : $int] : (($less(X0,$product(X2,X2)) | ~$less(X0,$product($sum(X2,1),$sum(X2,1)))) & ~$less(X1,X2) & $less(0,X1) & $less(0,X2) & div1($sum(div1(X0,X2),X2),2) = X1 & $less(X0,$product($sum(X1,1),$sum(X1,1))) & $less(X0,$product($sum(X2,1),$sum(X2,1)))) => (($less(X0,$product(sK2,sK2)) | ~$less(X0,$product($sum(sK2,1),$sum(sK2,1)))) & ~$less(sK1,sK2) & $less(0,sK1) & $less(0,sK2) & div1($sum(div1(X0,sK2),sK2),2) = sK1 & $less(X0,$product($sum(sK1,1),$sum(sK1,1))) & $less(X0,$product($sum(sK2,1),$sum(sK2,1))))) )),
114.26/112.61	  introduced(choice_axiom,[])).
114.26/112.61	tff(f123,plain,(
114.26/112.61	  (($less(sK0,$product(sK2,sK2)) | ~$less(sK0,$product($sum(sK2,1),$sum(sK2,1)))) & ~$less(sK1,sK2) & $less(0,sK1) & $less(0,sK2) & div1($sum(div1(sK0,sK2),sK2),2) = sK1 & $less(sK0,$product($sum(sK1,1),$sum(sK1,1))) & $less(sK0,$product($sum(sK2,1),$sum(sK2,1)))) & $less(3,sK0) & 0 != sK0 & ~$less(sK0,0)),
114.26/112.61	  inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f92,f122,f121])).
114.26/112.61	tff(f124,plain,(
114.26/112.61	  ! [X0 : $int,X1 : $int] : ((~$less(X1,abs1(X0)) | ($less(X0,$uminus(X1)) | $less(X1,X0))) & ((~$less(X0,$uminus(X1)) & ~$less(X1,X0)) | $less(X1,abs1(X0))))),
114.26/112.61	  inference(nnf_transformation,[],[f84])).
114.26/112.61	tff(f125,plain,(
114.26/112.61	  ! [X0 : $int,X1 : $int] : ((~$less(X1,abs1(X0)) | $less(X0,$uminus(X1)) | $less(X1,X0)) & ((~$less(X0,$uminus(X1)) & ~$less(X1,X0)) | $less(X1,abs1(X0))))),
114.26/112.61	  inference(flattening,[],[f124])).
114.26/112.61	tff(f126,plain,(
114.26/112.61	  ~$less(sK0,0)),
114.26/112.61	  inference(cnf_transformation,[],[f123])).
114.26/112.61	tff(f129,plain,(
114.26/112.61	  $less(sK0,$product($sum(sK2,1),$sum(sK2,1)))),
114.26/112.61	  inference(cnf_transformation,[],[f123])).
114.26/112.61	tff(f131,plain,(
114.26/112.61	  div1($sum(div1(sK0,sK2),sK2),2) = sK1),
114.26/112.61	  inference(cnf_transformation,[],[f123])).
114.26/112.61	tff(f132,plain,(
114.26/112.61	  $less(0,sK2)),
114.26/112.61	  inference(cnf_transformation,[],[f123])).
114.26/112.61	tff(f133,plain,(
114.26/112.61	  $less(0,sK1)),
114.26/112.61	  inference(cnf_transformation,[],[f123])).
114.26/112.61	tff(f134,plain,(
114.26/112.61	  ~$less(sK1,sK2)),
114.26/112.61	  inference(cnf_transformation,[],[f123])).
114.26/112.61	tff(f135,plain,(
114.26/112.61	  $less(sK0,$product(sK2,sK2)) | ~$less(sK0,$product($sum(sK2,1),$sum(sK2,1)))),
114.26/112.61	  inference(cnf_transformation,[],[f123])).
114.26/112.61	tff(f138,plain,(
114.26/112.61	  ( ! [X0:$int] : (~$less(abs1(X0),0)) )),
114.26/112.61	  inference(cnf_transformation,[],[f67])).
114.26/112.61	tff(f140,plain,(
114.26/112.61	  ( ! [X0:$int] : (div1(X0,1) = X0) )),
114.26/112.61	  inference(cnf_transformation,[],[f68])).
114.26/112.61	tff(f143,plain,(
114.26/112.61	  ( ! [X0:$int] : ($less(X0,0) | abs1(X0) = X0) )),
114.26/112.61	  inference(cnf_transformation,[],[f93])).
114.26/112.61	tff(f147,plain,(
114.26/112.61	  ( ! [X0:$int,X1:$int] : (~$less(abs1(X0),abs1($product(div1(X0,X1),X1))) | 0 = X1) )),
114.26/112.61	  inference(cnf_transformation,[],[f94])).
114.26/112.61	tff(f148,plain,(
114.26/112.61	  ( ! [X0:$int,X1:$int] : ($sum($product(X1,div1(X0,X1)),mod1(X0,X1)) = X0 | 0 = X1) )),
114.26/112.61	  inference(cnf_transformation,[],[f95])).
114.26/112.61	tff(f150,plain,(
114.26/112.61	  ( ! [X0:$int,X1:$int] : ($less(mod1(X0,X1),abs1(X1)) | 0 = X1) )),
114.26/112.61	  inference(cnf_transformation,[],[f96])).
114.26/112.61	tff(f157,plain,(
114.26/112.61	  ( ! [X0:$int,X1:$int] : (~$less(0,div1(X0,X1)) | ~$less(0,X1) | $less(0,X0)) )),
114.26/112.61	  inference(cnf_transformation,[],[f108])).
114.26/112.61	tff(f158,plain,(
114.26/112.61	  ( ! [X0:$int,X1:$int] : (~$less(X0,X1) | mod1(X0,X1) = X0 | $less(X0,0)) )),
114.26/112.61	  inference(cnf_transformation,[],[f110])).
114.26/112.61	tff(f161,plain,(
114.26/112.61	  ( ! [X0:$int,X1:$int] : ($less(X1,abs1(X0)) | ~$less(X1,X0)) )),
114.26/112.61	  inference(cnf_transformation,[],[f125])).
114.26/112.61	tff(f166,plain,(
114.26/112.61	  ( ! [X2:$int,X0:$int,X1:$int] : (~$less($product(X1,X2),$product(X0,X2)) | $less(X2,0) | $less(X1,X0)) )),
114.26/112.61	  inference(cnf_transformation,[],[f116])).
114.26/112.61	tff(f167,plain,(
114.26/112.61	  ( ! [X2:$int,X0:$int,X1:$int] : (~$less(0,X0) | $less(X2,0) | $less(X1,0) | mod1(X2,X0) = mod1($sum($product(X0,X1),X2),X0)) )),
114.26/112.61	  inference(cnf_transformation,[],[f118])).
114.26/112.61	tff(f170,plain,(
114.26/112.61	  ( ! [X2:$int,X0:$int,X3:$int] : ($product(X0,X2) != $product(X0,X3) | 0 = X0 | X2 = X3) )),
114.26/112.61	  inference(equality_resolution,[],[f48])).
114.26/112.61	tff(f171,plain,(
114.26/112.61	  ~$less(sK0,$product($sum(1,sK2),$sum(1,sK2))) | $less(sK0,$product(sK2,sK2))),
114.26/112.61	  inference(forward_demodulation,[],[f135,f32])).
114.26/112.61	tff(f172,plain,(
114.26/112.61	  div1($sum(sK2,div1(sK0,sK2)),2) = sK1),
114.26/112.61	  inference(forward_demodulation,[],[f131,f32])).
114.26/112.61	tff(f174,plain,(
114.26/112.61	  $less(sK0,$product($sum(1,sK2),$sum(1,sK2)))),
114.26/112.61	  inference(forward_demodulation,[],[f129,f32])).
114.26/112.61	tff(f175,plain,(
114.26/112.61	  $less(sK0,$product(sK2,sK2))),
114.26/112.61	  inference(subsumption_resolution,[],[f171,f174])).
114.26/112.61	tff(f176,plain,(
114.26/112.61	  ( ! [X0:$int,X1:$int] : (~$less(abs1(X0),abs1($product(X1,div1(X0,X1)))) | 0 = X1) )),
114.26/112.61	  inference(forward_demodulation,[],[f147,f43])).
114.26/112.61	tff(f181,plain,(
114.26/112.61	  0 != sK1),
114.26/112.61	  inference(constrained_resolution,[],[f134,f132])).
114.26/112.61	tff(f184,plain,(
114.26/112.61	  0 != $product(sK2,sK2)),
114.26/112.61	  inference(constrained_resolution,[],[f175,f126])).
114.26/112.61	tff(f193,plain,(
114.26/112.61	  0 != sK2),
114.26/112.61	  inference(constrained_resolution,[],[f37,f132])).
114.26/112.61	tff(f276,plain,(
114.26/112.61	  abs1(sK0) = sK0),
114.26/112.61	  inference(resolution,[],[f143,f126])).
114.26/112.61	tff(f369,plain,(
114.26/112.61	  ( ! [X0:$int,X1:$int] : (~$less(X0,X1) | $less(X0,0) | abs1(X1) = X1) )),
114.26/112.61	  inference(resolution,[],[f38,f143])).
114.26/112.61	tff(f370,plain,(
114.26/112.61	  ( ! [X4:$int,X2:$int,X3:$int] : ($less(X2,abs1(X4)) | ~$less(X2,X3) | ~$less(X3,X4)) )),
114.26/112.61	  inference(resolution,[],[f38,f161])).
114.26/112.61	tff(f375,plain,(
114.26/112.61	  ( ! [X11:$int] : ($less(X11,$product(sK2,sK2)) | ~$less(X11,sK0)) )),
114.26/112.61	  inference(resolution,[],[f38,f175])).
114.26/112.61	tff(f433,plain,(
114.26/112.61	  ( ! [X6:$int,X4:$int,X5:$int] : ($less($sum(X6,X5),$sum(X5,X4)) | ~$less(X6,X4)) )),
114.26/112.61	  inference(superposition,[],[f40,f32])).
114.26/112.61	tff(f501,plain,(
114.26/112.61	  ( ! [X8:$int,X7:$int,X9:$int] : ($product(X7,$product(X8,X9)) = $product(X9,$product(X7,X8))) )),
114.26/112.61	  inference(superposition,[],[f44,f43])).
114.26/112.61	tff(f593,plain,(
114.26/112.61	  ~$less(0,sK1) | ~$less(0,2) | $less(0,$sum(sK2,div1(sK0,sK2)))),
114.26/112.61	  inference(superposition,[],[f157,f172])).
114.26/112.61	tff(f596,plain,(
114.26/112.61	  ~$less(0,sK1) | $less(0,$sum(sK2,div1(sK0,sK2)))),
114.26/112.61	  inference(evaluation,[],[f593])).
114.26/112.61	tff(f598,plain,(
114.26/112.61	  $less(0,$sum(sK2,div1(sK0,sK2)))),
114.26/112.61	  inference(subsumption_resolution,[],[f596,f133])).
114.26/112.61	tff(f609,plain,(
114.26/112.61	  mod1(0,sK2) = 0 | $less(0,0)),
114.26/112.61	  inference(resolution,[],[f158,f132])).
114.26/112.61	tff(f610,plain,(
114.26/112.61	  mod1(0,sK1) = 0 | $less(0,0)),
114.26/112.61	  inference(resolution,[],[f158,f133])).
114.26/112.61	tff(f614,plain,(
114.26/112.61	  mod1(sK0,$product(sK2,sK2)) = sK0 | $less(sK0,0)),
114.26/112.61	  inference(resolution,[],[f158,f175])).
114.26/112.61	tff(f619,plain,(
114.26/112.61	  mod1(0,sK1) = 0),
114.26/112.61	  inference(evaluation,[],[f610])).
114.26/112.61	tff(f620,plain,(
114.26/112.61	  mod1(0,sK2) = 0),
114.26/112.61	  inference(evaluation,[],[f609])).
114.26/112.61	tff(f621,plain,(
114.26/112.61	  mod1(sK0,$product(sK2,sK2)) = sK0),
114.26/112.61	  inference(subsumption_resolution,[],[f614,f126])).
114.26/112.61	tff(f673,plain,(
114.26/112.61	  ( ! [X0:$int,X1:$int] : (~$less(abs1(X1),$product(X0,div1(X1,X0))) | 0 = X0) )),
114.26/112.61	  inference(resolution,[],[f176,f161])).
114.26/112.61	tff(f679,plain,(
114.26/112.61	  ~$less(abs1($sum(sK2,div1(sK0,sK2))),abs1($product(2,sK1))) | 0 = 2),
114.26/112.61	  inference(superposition,[],[f176,f172])).
114.26/112.61	tff(f690,plain,(
114.26/112.61	  ~$less(abs1($sum(sK2,div1(sK0,sK2))),abs1($product(2,sK1)))),
114.26/112.61	  inference(evaluation,[],[f679])).
114.26/112.61	tff(f702,plain,(
114.26/112.61	  ( ! [X0:$int,X1:$int] : ($product(X0,$sum(1,X1)) = $sum(X0,$product(X0,X1))) )),
114.26/112.61	  inference(superposition,[],[f47,f45])).
114.26/112.61	tff(f717,plain,(
114.26/112.61	  ( ! [X6:$int,X4:$int,X7:$int,X5:$int] : ($less($sum(X7,$product(X4,X6)),$product(X4,$sum(X5,X6))) | ~$less(X7,$product(X4,X5))) )),
114.26/112.61	  inference(superposition,[],[f40,f47])).
114.26/112.61	tff(f718,plain,(
114.26/112.61	  ( ! [X10:$int,X8:$int,X11:$int,X9:$int] : ($less($product(X8,$sum(X9,X10)),$sum(X11,$product(X8,X10))) | ~$less($product(X8,X9),X11)) )),
114.26/112.61	  inference(superposition,[],[f40,f47])).
114.26/112.61	tff(f727,plain,(
114.26/112.61	  ( ! [X2:$int,X0:$int,X1:$int] : ($less($product(X2,X0),$product(X1,X0)) | $less(X1,X2) | $less(X0,0) | $product(X1,X0) = $product(X2,X0)) )),
114.26/112.61	  inference(resolution,[],[f166,f39])).
114.26/112.61	tff(f731,plain,(
114.26/112.61	  ( ! [X6:$int,X4:$int,X5:$int] : (~$less($product(X5,X4),$product(X6,X5)) | $less(X5,0) | $less(X4,X6)) )),
114.26/112.61	  inference(superposition,[],[f166,f43])).
114.26/112.61	tff(f743,plain,(
114.26/112.61	  ( ! [X0:$int,X1:$int] : ($product(X0,X1) != X0 | 0 = X0 | 1 = X1) )),
114.26/112.61	  inference(superposition,[],[f170,f45])).
114.26/112.61	tff(f814,plain,(
114.26/112.61	  ( ! [X0:$int,X1:$int] : ($less(X1,0) | $less(X0,0) | mod1(X0,sK2) = mod1($sum($product(sK2,X1),X0),sK2)) )),
114.26/112.61	  inference(resolution,[],[f167,f132])).
114.26/112.61	tff(f815,plain,(
114.26/112.61	  ( ! [X2:$int,X3:$int] : ($less(X3,0) | $less(X2,0) | mod1(X2,sK1) = mod1($sum($product(sK1,X3),X2),sK1)) )),
114.26/112.61	  inference(resolution,[],[f167,f133])).
114.26/112.61	tff(f1029,plain,(
114.26/112.61	  $less(sK0,abs1($product(sK2,sK2))) | 0 = $product(sK2,sK2)),
114.26/112.61	  inference(superposition,[],[f150,f621])).
114.26/112.61	tff(f1037,plain,(
114.26/112.61	  $less(sK0,abs1($product(sK2,sK2)))),
114.26/112.61	  inference(subsumption_resolution,[],[f1029,f184])).
114.26/112.61	tff(f1115,plain,(
114.26/112.61	  ~$less($product(sK2,sK2),sK0)),
114.26/112.61	  inference(resolution,[],[f375,f37])).
114.26/112.61	tff(f1382,plain,(
114.26/112.61	  ~$less(abs1($sum(sK2,div1(sK0,sK2))),$product(2,sK1))),
114.26/112.61	  inference(resolution,[],[f690,f161])).
114.26/112.61	tff(f1748,plain,(
114.26/112.61	  ( ! [X12:$int,X13:$int,X11:$int] : (~$less(X13,X11) | mod1(X12,sK2) = mod1($sum($product(sK2,X11),X12),sK2) | $less(X12,0) | $less(X13,0)) )),
114.26/112.61	  inference(resolution,[],[f814,f38])).
114.26/112.61	tff(f1826,plain,(
114.26/112.61	  ( ! [X12:$int,X13:$int,X11:$int] : (~$less(X13,X11) | mod1(X12,sK1) = mod1($sum($product(sK1,X11),X12),sK1) | $less(X12,0) | $less(X13,0)) )),
114.26/112.61	  inference(resolution,[],[f815,f38])).
114.26/112.61	tff(f2649,plain,(
114.26/112.61	  $less(0,0) | abs1($sum(sK2,div1(sK0,sK2))) = $sum(sK2,div1(sK0,sK2))),
114.26/112.61	  inference(resolution,[],[f369,f598])).
114.26/112.61	tff(f2653,plain,(
114.26/112.61	  $less(0,0) | abs1(sK2) = sK2),
114.26/112.61	  inference(resolution,[],[f369,f132])).
114.26/112.61	tff(f2658,plain,(
114.26/112.61	  $less(sK0,0) | abs1($product(sK2,sK2)) = $product(sK2,sK2)),
114.26/112.61	  inference(resolution,[],[f369,f175])).
114.26/112.61	tff(f2664,plain,(
114.26/112.61	  abs1(sK2) = sK2),
114.26/112.61	  inference(evaluation,[],[f2653])).
114.26/112.61	tff(f2668,plain,(
114.26/112.61	  abs1($sum(sK2,div1(sK0,sK2))) = $sum(sK2,div1(sK0,sK2))),
114.26/112.61	  inference(evaluation,[],[f2649])).
114.26/112.61	tff(f2673,plain,(
114.26/112.61	  abs1($product(sK2,sK2)) = $product(sK2,sK2)),
114.26/112.61	  inference(subsumption_resolution,[],[f2658,f126])).
114.26/112.61	tff(f2688,plain,(
114.26/112.61	  ( ! [X26:$int] : (~$less(abs1($sum(sK2,div1(sK0,sK2))),X26) | ~$less(X26,$product(2,sK1))) )),
114.26/112.61	  inference(resolution,[],[f370,f690])).
114.26/112.61	tff(f2705,plain,(
114.26/112.61	  ( ! [X26:$int] : (~$less($sum(sK2,div1(sK0,sK2)),X26) | ~$less(X26,$product(2,sK1))) )),
114.26/112.61	  inference(forward_demodulation,[],[f2688,f2668])).
114.26/112.61	tff(f2711,plain,(
114.26/112.61	  ~$less(sK2,0)),
114.26/112.61	  inference(superposition,[],[f138,f2664])).
114.26/112.61	tff(f3783,plain,(
114.26/112.61	  ( ! [X5:$int] : (~$less(sK0,$product(X5,div1(sK0,X5))) | 0 = X5) )),
114.26/112.61	  inference(superposition,[],[f673,f276])).
114.26/112.61	tff(f3896,plain,(
114.26/112.61	  ( ! [X11:$int] : ($product(X11,$sum(1,1)) = $sum(X11,X11)) )),
114.26/112.61	  inference(superposition,[],[f702,f45])).
114.26/112.61	tff(f3938,plain,(
114.26/112.61	  ( ! [X11:$int] : ($product(X11,2) = $sum(X11,X11)) )),
114.26/112.61	  inference(evaluation,[],[f3896])).
114.26/112.61	tff(f5350,plain,(
114.26/112.61	  ( ! [X0:$int] : ($less(sK2,0) | $less(X0,sK2) | ~$less($product(sK2,X0),sK0)) )),
114.26/112.61	  inference(resolution,[],[f731,f375])).
114.26/112.61	tff(f5379,plain,(
114.26/112.61	  ( ! [X0:$int] : (~$less($product(sK2,X0),sK0) | $less(X0,sK2)) )),
114.26/112.61	  inference(subsumption_resolution,[],[f5350,f2711])).
114.26/112.61	tff(f8485,plain,(
114.26/112.61	  ( ! [X0:$int] : ($product(X0,sK2) != sK0 | $less(X0,sK2) | $less(sK2,0) | $product(sK2,sK2) = $product(X0,sK2)) )),
114.26/112.61	  inference(constrained_resolution,[],[f727,f1115])).
114.26/112.61	tff(f8523,plain,(
114.26/112.61	  ( ! [X0:$int] : ($product(X0,sK2) != sK0 | $less(X0,sK2) | $product(sK2,sK2) = $product(X0,sK2)) )),
114.26/112.61	  inference(subsumption_resolution,[],[f8485,f2711])).
114.26/112.61	tff(f10685,plain,(
114.26/112.61	  ( ! [X11:$int] : ($less(X11,sK2) | $less(sK0,$product(sK2,X11)) | $product(sK2,X11) = sK0) )),
114.26/112.61	  inference(resolution,[],[f5379,f39])).
114.26/112.61	tff(f12532,plain,(
114.26/112.61	  ( ! [X2:$int] : (abs1($product(sK2,sK2)) != $product(X2,div1(sK0,X2)) | 0 = X2) )),
114.26/112.61	  inference(constrained_resolution,[],[f3783,f1037])).
114.26/112.61	tff(f12566,plain,(
114.26/112.61	  ( ! [X2:$int] : ($product(sK2,sK2) != $product(X2,div1(sK0,X2)) | 0 = X2) )),
114.26/112.61	  inference(forward_demodulation,[],[f12532,f2673])).
114.26/112.61	tff(f14988,plain,(
114.26/112.61	  ~$less($sum(sK2,div1(sK0,sK2)),$product(2,sK1))),
114.26/112.61	  inference(superposition,[],[f1382,f2668])).
114.26/112.61	tff(f15049,plain,(
114.26/112.61	  ( ! [X16:$int] : (~$less($sum(div1(sK0,sK2),X16),$product(2,sK1)) | ~$less(sK2,X16)) )),
114.26/112.61	  inference(resolution,[],[f2705,f433])).
114.26/112.61	tff(f31945,plain,(
114.26/112.61	  ~$less(0,1) | mod1(0,sK2) = mod1($sum($product(sK2,1),0),sK2) | $less(0,0) | $less(0,0)),
114.26/112.61	  inference(instantiation,[],[f1748])).
114.26/112.61	tff(f31946,plain,(
114.26/112.61	  mod1(0,sK2) = mod1($sum($product(sK2,1),0),sK2)),
114.26/112.61	  inference(interpreted_simplification,[],[f31945])).
114.26/112.61	tff(f32514,plain,(
114.26/112.61	  mod1(0,sK2) = mod1($product(sK2,1),sK2)),
114.26/112.61	  inference(evaluation,[],[f31946])).
114.26/112.61	tff(f32515,plain,(
114.26/112.61	  mod1(0,sK2) = mod1(sK2,sK2)),
114.26/112.61	  inference(evaluation,[],[f32514])).
114.26/112.61	tff(f32516,plain,(
114.26/112.61	  mod1(sK2,sK2) = 0),
114.26/112.61	  inference(forward_demodulation,[],[f32515,f620])).
114.26/112.61	tff(f32577,plain,(
114.26/112.61	  $sum($product(sK2,div1(sK2,sK2)),0) = sK2 | 0 = sK2),
114.26/112.61	  inference(superposition,[],[f148,f32516])).
114.26/112.61	tff(f32626,plain,(
114.26/112.61	  $product(sK2,div1(sK2,sK2)) = sK2 | 0 = sK2),
114.26/112.61	  inference(evaluation,[],[f32577])).
114.26/112.61	tff(f32627,plain,(
114.26/112.61	  $product(sK2,div1(sK2,sK2)) = sK2),
114.26/112.61	  inference(subsumption_resolution,[],[f32626,f193])).
114.26/112.61	tff(f32686,plain,(
114.26/112.61	  ( ! [X30:$int] : ($product(X30,sK2) = $product(div1(sK2,sK2),$product(X30,sK2))) )),
114.26/112.61	  inference(superposition,[],[f501,f32627])).
114.26/112.61	tff(f32688,plain,(
114.26/112.61	  $product(sK2,$sum(1,div1(sK2,sK2))) = $sum(sK2,sK2)),
114.26/112.61	  inference(superposition,[],[f702,f32627])).
114.26/112.61	tff(f32705,plain,(
114.26/112.61	  ( ! [X53:$int] : ($less($product(X53,div1(sK2,sK2)),sK2) | $less(sK2,X53) | $less(div1(sK2,sK2),0) | $product(sK2,div1(sK2,sK2)) = $product(X53,div1(sK2,sK2))) )),
114.26/112.61	  inference(superposition,[],[f727,f32627])).
114.26/112.61	tff(f32715,plain,(
114.26/112.61	  sK2 != sK2 | 0 = sK2 | div1(sK2,sK2) = 1),
114.26/112.61	  inference(superposition,[],[f743,f32627])).
114.26/112.61	tff(f32750,plain,(
114.26/112.61	  0 = sK2 | div1(sK2,sK2) = 1),
114.26/112.61	  inference(trivial_inequality_removal,[],[f32715])).
114.26/112.61	tff(f32776,plain,(
114.26/112.61	  $product(sK2,2) = $product(sK2,$sum(1,div1(sK2,sK2)))),
114.26/112.61	  inference(forward_demodulation,[],[f32688,f3938])).
114.26/112.61	tff(f32777,plain,(
114.26/112.61	  $product(2,sK2) = $product(sK2,$sum(1,div1(sK2,sK2)))),
114.26/112.61	  inference(forward_demodulation,[],[f32776,f43])).
114.26/112.61	tff(f32793,plain,(
114.26/112.61	  ( ! [X53:$int] : ($less($product(X53,div1(sK2,sK2)),sK2) | $product(X53,div1(sK2,sK2)) = sK2 | $less(sK2,X53) | $less(div1(sK2,sK2),0)) )),
114.26/112.61	  inference(forward_demodulation,[],[f32705,f32627])).
114.26/112.61	tff(f32797,plain,(
114.26/112.61	  div1(sK2,sK2) = 1),
114.26/112.61	  inference(subsumption_resolution,[],[f32750,f193])).
114.26/112.61	tff(f35156,plain,(
114.26/112.61	  ( ! [X16:$int] : ($less($sum(X16,$product(sK2,div1(sK2,sK2))),$product(2,sK2)) | ~$less(X16,$product(sK2,1))) )),
114.26/112.61	  inference(superposition,[],[f717,f32777])).
114.26/112.61	tff(f35270,plain,(
114.26/112.61	  ( ! [X16:$int] : ($less($sum(X16,$product(sK2,div1(sK2,sK2))),$product(2,sK2)) | ~$less(X16,sK2)) )),
114.26/112.61	  inference(evaluation,[],[f35156])).
114.26/112.61	tff(f35313,plain,(
114.26/112.61	  ( ! [X16:$int] : ($less($sum(X16,sK2),$product(2,sK2)) | ~$less(X16,sK2)) )),
114.26/112.61	  inference(forward_demodulation,[],[f35270,f32627])).
114.26/112.61	tff(f40464,plain,(
114.26/112.61	  ~$less(0,1) | mod1(0,sK1) = mod1($sum($product(sK1,1),0),sK1) | $less(0,0) | $less(0,0)),
114.26/112.61	  inference(instantiation,[],[f1826])).
114.26/112.61	tff(f40465,plain,(
114.26/112.61	  mod1(0,sK1) = mod1($sum($product(sK1,1),0),sK1)),
114.26/112.61	  inference(interpreted_simplification,[],[f40464])).
114.26/112.61	tff(f41033,plain,(
114.26/112.61	  mod1(0,sK1) = mod1($product(sK1,1),sK1)),
114.26/112.61	  inference(evaluation,[],[f40465])).
114.26/112.61	tff(f41034,plain,(
114.26/112.61	  mod1(0,sK1) = mod1(sK1,sK1)),
114.26/112.61	  inference(evaluation,[],[f41033])).
114.26/112.61	tff(f41035,plain,(
114.26/112.61	  mod1(sK1,sK1) = 0),
114.26/112.61	  inference(forward_demodulation,[],[f41034,f619])).
114.26/112.61	tff(f41093,plain,(
114.26/112.61	  $sum($product(sK1,div1(sK1,sK1)),0) = sK1 | 0 = sK1),
114.26/112.61	  inference(superposition,[],[f148,f41035])).
114.26/112.61	tff(f41141,plain,(
114.26/112.61	  $product(sK1,div1(sK1,sK1)) = sK1 | 0 = sK1),
114.26/112.61	  inference(evaluation,[],[f41093])).
114.26/112.61	tff(f41142,plain,(
114.26/112.61	  $product(sK1,div1(sK1,sK1)) = sK1),
114.26/112.61	  inference(subsumption_resolution,[],[f41141,f181])).
114.26/112.61	tff(f41219,plain,(
114.26/112.61	  $product(sK1,$sum(1,div1(sK1,sK1))) = $sum(sK1,sK1)),
114.26/112.61	  inference(superposition,[],[f702,f41142])).
114.26/112.61	tff(f41239,plain,(
114.26/112.61	  ( ! [X60:$int] : (~$less($product(div1(sK1,sK1),X60),sK1) | $less(div1(sK1,sK1),0) | $less(X60,sK1)) )),
114.26/112.61	  inference(superposition,[],[f731,f41142])).
114.26/112.61	tff(f41246,plain,(
114.26/112.61	  sK1 != sK1 | 0 = sK1 | div1(sK1,sK1) = 1),
114.26/112.61	  inference(superposition,[],[f743,f41142])).
114.26/112.61	tff(f41280,plain,(
114.26/112.61	  0 = sK1 | div1(sK1,sK1) = 1),
114.26/112.61	  inference(trivial_inequality_removal,[],[f41246])).
114.26/112.61	tff(f41313,plain,(
114.26/112.61	  $product(sK1,2) = $product(sK1,$sum(1,div1(sK1,sK1)))),
114.26/112.61	  inference(forward_demodulation,[],[f41219,f3938])).
114.26/112.61	tff(f41314,plain,(
114.26/112.61	  $product(2,sK1) = $product(sK1,$sum(1,div1(sK1,sK1)))),
114.26/112.61	  inference(forward_demodulation,[],[f41313,f43])).
114.26/112.61	tff(f41334,plain,(
114.26/112.61	  div1(sK1,sK1) = 1),
114.26/112.61	  inference(subsumption_resolution,[],[f41280,f181])).
114.26/112.61	tff(f43675,plain,(
114.26/112.61	  ( ! [X16:$int] : ($less($sum(X16,$product(sK1,div1(sK1,sK1))),$product(2,sK1)) | ~$less(X16,$product(sK1,1))) )),
114.26/112.61	  inference(superposition,[],[f717,f41314])).
114.26/112.61	tff(f43789,plain,(
114.26/112.61	  ( ! [X16:$int] : ($less($sum(X16,$product(sK1,div1(sK1,sK1))),$product(2,sK1)) | ~$less(X16,sK1)) )),
114.26/112.61	  inference(evaluation,[],[f43675])).
114.26/112.61	tff(f43813,plain,(
114.26/112.61	  ( ! [X16:$int] : ($less($sum(X16,sK1),$product(2,sK1)) | ~$less(X16,sK1)) )),
114.26/112.61	  inference(forward_demodulation,[],[f43789,f41142])).
114.26/112.61	tff(f47004,plain,(
114.26/112.61	  ( ! [X4:$int,X2:$int,X3:$int] : ($sum(X2,$product(div1(sK1,sK1),X3)) != sK1 | $less(div1(sK1,sK1),0) | $less($sum(X4,X3),sK1) | ~$less($product(div1(sK1,sK1),X4),X2)) )),
114.26/112.61	  inference(constrained_resolution,[],[f41239,f718])).
114.26/112.61	tff(f47065,plain,(
114.26/112.61	  ( ! [X4:$int,X2:$int,X3:$int] : ($sum(X2,$product(1,X3)) != sK1 | $less(div1(sK1,sK1),0) | $less($sum(X4,X3),sK1) | ~$less($product(div1(sK1,sK1),X4),X2)) )),
114.26/112.61	  inference(forward_demodulation,[],[f47004,f41334])).
114.26/112.61	tff(f47066,plain,(
114.26/112.61	  ( ! [X4:$int,X2:$int,X3:$int] : ($sum(X2,X3) != sK1 | $less(div1(sK1,sK1),0) | $less($sum(X4,X3),sK1) | ~$less($product(div1(sK1,sK1),X4),X2)) )),
114.26/112.61	  inference(evaluation,[],[f47065])).
114.26/112.61	tff(f47067,plain,(
114.26/112.61	  ( ! [X4:$int,X2:$int,X3:$int] : ($less(1,0) | $sum(X2,X3) != sK1 | $less($sum(X4,X3),sK1) | ~$less($product(div1(sK1,sK1),X4),X2)) )),
114.26/112.61	  inference(forward_demodulation,[],[f47066,f41334])).
114.26/112.61	tff(f47068,plain,(
114.26/112.61	  ( ! [X4:$int,X2:$int,X3:$int] : ($sum(X2,X3) != sK1 | $less($sum(X4,X3),sK1) | ~$less($product(div1(sK1,sK1),X4),X2)) )),
114.26/112.61	  inference(evaluation,[],[f47067])).
114.26/112.61	tff(f47069,plain,(
114.26/112.61	  ( ! [X4:$int,X2:$int,X3:$int] : (~$less($product(1,X4),X2) | $sum(X2,X3) != sK1 | $less($sum(X4,X3),sK1)) )),
114.26/112.61	  inference(forward_demodulation,[],[f47068,f41334])).
114.26/112.61	tff(f47070,plain,(
114.26/112.61	  ( ! [X4:$int,X2:$int,X3:$int] : ($sum(X2,X3) != sK1 | ~$less(X4,X2) | $less($sum(X4,X3),sK1)) )),
114.26/112.61	  inference(evaluation,[],[f47069])).
114.26/112.61	tff(f62962,plain,(
114.26/112.61	  $less(sK1,sK2) | $product(sK1,div1(sK2,sK2)) = sK2 | $less(sK2,sK1) | $less(div1(sK2,sK2),0) | div1(sK1,sK1) != div1(sK2,sK2)),
114.26/112.61	  inference(constrained_superposition,[],[f32793,f41142])).
114.26/112.61	tff(f63179,plain,(
114.26/112.61	  $product(sK1,div1(sK2,sK2)) = sK2 | $less(sK2,sK1) | $less(div1(sK2,sK2),0) | div1(sK1,sK1) != div1(sK2,sK2)),
114.26/112.61	  inference(subsumption_resolution,[],[f62962,f134])).
114.26/112.61	tff(f63180,plain,(
114.26/112.61	  $product(sK1,1) = sK2 | $less(sK2,sK1) | $less(div1(sK2,sK2),0) | div1(sK1,sK1) != div1(sK2,sK2)),
114.26/112.61	  inference(forward_demodulation,[],[f63179,f32797])).
114.26/112.61	tff(f63181,plain,(
114.26/112.61	  sK1 = sK2 | $less(sK2,sK1) | $less(div1(sK2,sK2),0) | div1(sK1,sK1) != div1(sK2,sK2)),
114.26/112.61	  inference(evaluation,[],[f63180])).
114.26/112.61	tff(f63182,plain,(
114.26/112.61	  $less(1,0) | sK1 = sK2 | $less(sK2,sK1) | div1(sK1,sK1) != div1(sK2,sK2)),
114.26/112.61	  inference(forward_demodulation,[],[f63181,f32797])).
114.26/112.61	tff(f63183,plain,(
114.26/112.61	  sK1 = sK2 | $less(sK2,sK1) | div1(sK1,sK1) != div1(sK2,sK2)),
114.26/112.61	  inference(evaluation,[],[f63182])).
114.26/112.61	tff(f63184,plain,(
114.26/112.61	  div1(sK1,sK1) != 1 | sK1 = sK2 | $less(sK2,sK1)),
114.26/112.61	  inference(forward_demodulation,[],[f63183,f32797])).
114.26/112.61	tff(f63185,plain,(
114.26/112.61	  $less(sK2,sK1) | sK1 = sK2),
114.26/112.61	  inference(subsumption_resolution,[],[f63184,f41334])).
114.26/112.61	tff(f64498,plain,(
114.26/112.61	  ( ! [X0:$int] : (sK1 = sK2 | ~$less(X0,sK2) | $less(X0,sK1)) )),
114.26/112.61	  inference(resolution,[],[f63185,f38])).
114.26/112.61	tff(f116455,plain,(
114.26/112.61	  ( ! [X0:$int] : ($less($sum(sK2,X0),$product(2,sK2)) | ~$less(X0,sK2)) )),
114.26/112.61	  inference(superposition,[],[f35313,f32])).
114.26/112.61	tff(f153319,plain,(
114.26/112.61	  ( ! [X7:$int] : ($product(sK2,sK2) != $product(X7,sK2) | div1(sK2,sK2) = 0 | div1(sK0,div1(sK2,sK2)) != $product(X7,sK2)) )),
114.26/112.61	  inference(constrained_superposition,[],[f12566,f32686])).
114.26/112.61	tff(f153358,plain,(
114.26/112.61	  ( ! [X7:$int] : (0 = 1 | $product(sK2,sK2) != $product(X7,sK2) | div1(sK0,div1(sK2,sK2)) != $product(X7,sK2)) )),
114.26/112.61	  inference(forward_demodulation,[],[f153319,f32797])).
114.26/112.61	tff(f153359,plain,(
114.26/112.61	  ( ! [X7:$int] : ($product(sK2,sK2) != $product(X7,sK2) | div1(sK0,div1(sK2,sK2)) != $product(X7,sK2)) )),
114.26/112.61	  inference(evaluation,[],[f153358])).
114.26/112.61	tff(f153360,plain,(
114.26/112.61	  ( ! [X7:$int] : (div1(sK0,1) != $product(X7,sK2) | $product(sK2,sK2) != $product(X7,sK2)) )),
114.26/112.61	  inference(forward_demodulation,[],[f153359,f32797])).
114.26/112.61	tff(f153361,plain,(
114.26/112.61	  ( ! [X7:$int] : ($product(X7,sK2) != sK0 | $product(sK2,sK2) != $product(X7,sK2)) )),
114.26/112.61	  inference(forward_demodulation,[],[f153360,f140])).
114.26/112.61	tff(f153362,plain,(
114.26/112.61	  ( ! [X0:$int] : ($product(X0,sK2) != sK0 | $less(X0,sK2)) )),
114.26/112.61	  inference(subsumption_resolution,[],[f8523,f153361])).
114.26/112.61	tff(f153556,plain,(
114.26/112.61	  ( ! [X0:$int] : ($product(sK2,X0) != sK0 | $less(X0,sK2)) )),
114.26/112.61	  inference(superposition,[],[f153362,f43])).
114.26/112.61	tff(f153576,plain,(
114.26/112.61	  ( ! [X11:$int] : ($less(sK0,$product(sK2,X11)) | $less(X11,sK2)) )),
114.26/112.61	  inference(subsumption_resolution,[],[f10685,f153556])).
114.26/112.61	tff(f153805,plain,(
114.26/112.61	  $less(div1(sK0,sK2),sK2) | 0 = sK2),
114.26/112.61	  inference(resolution,[],[f153576,f3783])).
114.26/112.61	tff(f153852,plain,(
114.26/112.61	  $less(div1(sK0,sK2),sK2)),
114.26/112.61	  inference(subsumption_resolution,[],[f153805,f193])).
114.26/112.61	tff(f156452,plain,(
114.26/112.61	  ~$less(sK2,sK1) | ~$less(div1(sK0,sK2),sK1)),
114.26/112.61	  inference(resolution,[],[f15049,f43813])).
114.26/112.61	tff(f190119,plain,(
114.26/112.61	  ( ! [X8:$int,X9:$int] : (sK1 != X8 | ~$less(X9,X8) | $less($sum(X9,0),sK1)) )),
114.26/112.61	  inference(superposition,[],[f47070,f34])).
114.26/112.61	tff(f190136,plain,(
114.26/112.61	  ( ! [X8:$int,X9:$int] : (sK1 != X8 | ~$less(X9,X8) | $less(X9,sK1)) )),
114.26/112.61	  inference(evaluation,[],[f190119])).
114.26/112.61	tff(f190142,plain,(
114.26/112.61	  ( ! [X0:$int] : (~$less(X0,sK2) | $less(X0,sK1)) )),
114.26/112.61	  inference(subsumption_resolution,[],[f64498,f190136])).
114.26/112.61	tff(f190313,plain,(
114.26/112.61	  $less(div1(sK0,sK2),sK1)),
114.26/112.61	  inference(resolution,[],[f190142,f153852])).
114.26/112.61	tff(f190448,plain,(
114.26/112.61	  ~$less(sK2,sK1)),
114.26/112.61	  inference(subsumption_resolution,[],[f156452,f190313])).
114.26/112.61	tff(f190458,plain,(
114.26/112.61	  sK1 = sK2),
114.26/112.61	  inference(subsumption_resolution,[],[f63185,f190448])).
114.26/112.61	tff(f418420,plain,(
114.26/112.61	  $product(2,sK1) != $product(2,sK2) | ~$less(div1(sK0,sK2),sK2)),
114.26/112.61	  inference(constrained_resolution,[],[f116455,f14988])).
114.26/112.61	tff(f418502,plain,(
114.26/112.61	  $product(2,sK1) != $product(2,sK2)),
114.26/112.61	  inference(subsumption_resolution,[],[f418420,f153852])).
114.26/112.61	tff(f418503,plain,(
114.26/112.61	  $product(2,sK1) != $product(2,sK1)),
114.26/112.61	  inference(forward_demodulation,[],[f418502,f190458])).
114.26/112.61	tff(f418504,plain,(
114.26/112.61	  $false),
114.26/112.61	  inference(trivial_inequality_removal,[],[f418503])).
114.26/112.61	% SZS output end Proof for theBenchmark
114.26/112.61	% ------------------------------
114.26/112.61	% Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100)
114.26/112.61	% Termination reason: Refutation
114.26/112.61	
114.26/112.61	% Memory used [KB]: 109635
114.26/112.61	% Time elapsed: 40.973 s
114.26/112.61	% ------------------------------
114.26/112.61	% ------------------------------
114.26/112.62	% Success in time 112.264 s
114.26/112.62	EOF