0.00/0.14	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.03/1.09	% Command    : vampire --mode casc -t %d %s
0.03/1.40	% Computer   : n150.star.cs.uiowa.edu
0.03/1.40	% Model      : x86_64 x86_64
0.03/1.40	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.03/1.40	% Memory     : 32218.625MB
0.03/1.40	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.03/1.40	% CPULimit   : 300
0.03/1.40	% DateTime   : Fri Jul 13 14:53:00 CDT 2018
0.03/1.41	% CPUTime    : 
0.07/1.44	% 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
0.07/1.50	% Refutation not found, incomplete strategy
0.07/1.50	% ------------------------------
0.07/1.50	% Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100)
0.07/1.50	% Termination reason: Refutation not found, incomplete strategy
0.07/1.50	
0.07/1.50	% Memory used [KB]: 5117
0.07/1.50	% Time elapsed: 0.061 s
0.07/1.50	% ------------------------------
0.07/1.50	% ------------------------------
0.07/1.54	% 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
1.70/3.14	% Time limit reached!
1.70/3.14	% ------------------------------
1.70/3.14	% Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100)
1.70/3.14	% Termination reason: Time limit
1.70/3.14	% Termination phase: Saturation
1.70/3.14	
1.70/3.14	% Memory used [KB]: 23922
1.70/3.14	% Time elapsed: 1.600 s
1.70/3.14	% ------------------------------
1.70/3.14	% ------------------------------
1.78/3.18	% 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
1.84/3.24	% Refutation not found, incomplete strategy
1.84/3.24	% ------------------------------
1.84/3.24	% Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100)
1.84/3.24	% Termination reason: Refutation not found, incomplete strategy
1.84/3.24	
1.84/3.24	% Memory used [KB]: 5117
1.84/3.24	% Time elapsed: 0.061 s
1.84/3.24	% ------------------------------
1.84/3.24	% ------------------------------
1.90/3.27	% 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
1.90/3.30	% Refutation not found, incomplete strategy
1.90/3.30	% ------------------------------
1.90/3.30	% Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100)
1.90/3.30	% Termination reason: Refutation not found, incomplete strategy
1.90/3.30	
1.90/3.30	% Memory used [KB]: 5117
1.90/3.30	% Time elapsed: 0.031 s
1.90/3.30	% ------------------------------
1.90/3.30	% ------------------------------
1.97/3.34	% 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
1.97/3.34	% Refutation not found, incomplete strategy
1.97/3.34	% ------------------------------
1.97/3.34	% Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100)
1.97/3.34	% Termination reason: Refutation not found, incomplete strategy
1.97/3.34	
1.97/3.34	% Memory used [KB]: 5117
1.97/3.34	% Time elapsed: 0.002 s
1.97/3.34	% ------------------------------
1.97/3.34	% ------------------------------
2.00/3.38	% 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
2.00/3.41	% Refutation not found, incomplete strategy
2.00/3.41	% ------------------------------
2.00/3.41	% Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100)
2.00/3.41	% Termination reason: Refutation not found, incomplete strategy
2.00/3.41	
2.00/3.41	% Memory used [KB]: 4989
2.00/3.41	% Time elapsed: 0.033 s
2.00/3.41	% ------------------------------
2.00/3.41	% ------------------------------
2.07/3.44	% 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
2.07/3.48	% Refutation not found, incomplete strategy
2.07/3.48	% ------------------------------
2.07/3.48	% Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100)
2.07/3.48	% Termination reason: Refutation not found, incomplete strategy
2.07/3.48	
2.07/3.48	% Memory used [KB]: 5117
2.07/3.48	% Time elapsed: 0.034 s
2.07/3.48	% ------------------------------
2.07/3.48	% ------------------------------
2.14/3.51	% 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
4.55/5.91	% Time limit reached!
4.55/5.91	% ------------------------------
4.55/5.91	% Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100)
4.55/5.91	% Termination reason: Time limit
4.55/5.91	% Termination phase: Saturation
4.55/5.91	
4.55/5.91	% Memory used [KB]: 15095
4.55/5.91	% Time elapsed: 2.400 s
4.55/5.91	% ------------------------------
4.55/5.91	% ------------------------------
4.59/5.95	% 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
4.59/5.98	% Refutation not found, incomplete strategy
4.59/5.98	% ------------------------------
4.59/5.98	% Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100)
4.59/5.98	% Termination reason: Refutation not found, incomplete strategy
4.59/5.98	
4.59/5.98	% Memory used [KB]: 5117
4.59/5.98	% Time elapsed: 0.034 s
4.59/5.98	% ------------------------------
4.59/5.98	% ------------------------------
4.68/6.02	% 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
4.68/6.05	% Refutation not found, incomplete strategy
4.68/6.05	% ------------------------------
4.68/6.05	% Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100)
4.68/6.05	% Termination reason: Refutation not found, incomplete strategy
4.68/6.05	
4.68/6.05	% Memory used [KB]: 4989
4.68/6.05	% Time elapsed: 0.032 s
4.68/6.05	% ------------------------------
4.68/6.05	% ------------------------------
4.72/6.08	% 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
4.72/6.08	% Refutation not found, incomplete strategy
4.72/6.08	% ------------------------------
4.72/6.08	% Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100)
4.72/6.08	% Termination reason: Refutation not found, incomplete strategy
4.72/6.08	
4.72/6.08	% Memory used [KB]: 9466
4.72/6.08	% Time elapsed: 0.001 s
4.72/6.08	% ------------------------------
4.72/6.08	% ------------------------------
4.72/6.12	% 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
4.75/6.15	% Refutation not found, incomplete strategy
4.75/6.15	% ------------------------------
4.75/6.15	% Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100)
4.75/6.15	% Termination reason: Refutation not found, incomplete strategy
4.75/6.15	
4.75/6.15	% Memory used [KB]: 5117
4.75/6.15	% Time elapsed: 0.035 s
4.75/6.15	% ------------------------------
4.75/6.15	% ------------------------------
4.83/6.19	% 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
5.34/6.69	% Time limit reached!
5.34/6.69	% ------------------------------
5.34/6.69	% Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100)
5.34/6.69	% Termination reason: Time limit
5.34/6.69	% Termination phase: Saturation
5.34/6.69	
5.34/6.69	% Memory used [KB]: 27376
5.34/6.69	% Time elapsed: 0.500 s
5.34/6.69	% ------------------------------
5.34/6.69	% ------------------------------
5.34/6.72	% 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
5.36/6.76	% Refutation not found, incomplete strategy
5.36/6.76	% ------------------------------
5.36/6.76	% Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100)
5.36/6.76	% Termination reason: Refutation not found, incomplete strategy
5.36/6.76	
5.36/6.76	% Memory used [KB]: 5117
5.36/6.76	% Time elapsed: 0.033 s
5.36/6.76	% ------------------------------
5.36/6.76	% ------------------------------
5.43/6.79	% 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
5.43/6.85	% Refutation not found, incomplete strategy
5.43/6.85	% ------------------------------
5.43/6.85	% Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100)
5.43/6.85	% Termination reason: Refutation not found, incomplete strategy
5.43/6.85	
5.43/6.85	% Memory used [KB]: 5117
5.43/6.85	% Time elapsed: 0.060 s
5.43/6.85	% ------------------------------
5.43/6.85	% ------------------------------
5.43/6.89	% 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
5.52/6.92	% Refutation not found, incomplete strategy
5.52/6.92	% ------------------------------
5.52/6.92	% Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100)
5.52/6.92	% Termination reason: Refutation not found, incomplete strategy
5.52/6.92	
5.52/6.92	% Memory used [KB]: 4989
5.52/6.92	% Time elapsed: 0.031 s
5.52/6.92	% ------------------------------
5.52/6.92	% ------------------------------
5.52/6.95	% 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
5.58/6.98	% Refutation not found, incomplete strategy
5.58/6.98	% ------------------------------
5.58/6.98	% Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100)
5.58/6.98	% Termination reason: Refutation not found, incomplete strategy
5.58/6.98	
5.58/6.98	% Memory used [KB]: 511
5.58/6.98	% Time elapsed: 0.032 s
5.58/6.98	% ------------------------------
5.58/6.98	% ------------------------------
5.58/7.02	% 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
5.58/7.05	% Refutation not found, incomplete strategy
5.58/7.05	% ------------------------------
5.58/7.05	% Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100)
5.58/7.05	% Termination reason: Refutation not found, incomplete strategy
5.58/7.05	
5.58/7.05	% Memory used [KB]: 4989
5.58/7.05	% Time elapsed: 0.032 s
5.58/7.05	% ------------------------------
5.58/7.05	% ------------------------------
5.72/7.08	% 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
5.72/7.08	% Refutation not found, incomplete strategy
5.72/7.08	% ------------------------------
5.72/7.08	% Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100)
5.72/7.08	% Termination reason: Refutation not found, incomplete strategy
5.72/7.08	
5.72/7.08	% Memory used [KB]: 4989
5.72/7.08	% Time elapsed: 0.002 s
5.72/7.08	% ------------------------------
5.72/7.08	% ------------------------------
5.72/7.12	% 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
5.80/7.15	% Refutation not found, incomplete strategy
5.80/7.15	% ------------------------------
5.80/7.15	% Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100)
5.80/7.15	% Termination reason: Refutation not found, incomplete strategy
5.80/7.15	
5.80/7.15	% Memory used [KB]: 5117
5.80/7.15	% Time elapsed: 0.033 s
5.80/7.15	% ------------------------------
5.80/7.15	% ------------------------------
5.80/7.18	% 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
7.44/8.78	% Time limit reached!
7.44/8.78	% ------------------------------
7.44/8.78	% Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100)
7.44/8.78	% Termination reason: Time limit
7.44/8.78	% Termination phase: Saturation
7.44/8.78	
7.44/8.78	% Memory used [KB]: 41833
7.44/8.78	% Time elapsed: 1.600 s
7.44/8.78	% ------------------------------
7.44/8.78	% ------------------------------
7.44/8.82	% 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
7.46/8.86	% Refutation not found, incomplete strategy
7.46/8.86	% ------------------------------
7.46/8.86	% Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100)
7.46/8.86	% Termination reason: Refutation not found, incomplete strategy
7.46/8.86	
7.46/8.86	% Memory used [KB]: 5117
7.46/8.86	% Time elapsed: 0.035 s
7.46/8.86	% ------------------------------
7.46/8.86	% ------------------------------
7.54/8.89	% 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
9.25/10.59	% Time limit reached!
9.25/10.59	% ------------------------------
9.25/10.59	% Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100)
9.25/10.59	% Termination reason: Time limit
9.25/10.59	% Termination phase: Saturation
9.25/10.59	
9.25/10.59	% Memory used [KB]: 6012
9.25/10.59	% Time elapsed: 1.700 s
9.25/10.59	% ------------------------------
9.25/10.59	% ------------------------------
9.25/10.63	% 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
9.28/10.66	% Refutation not found, incomplete strategy
9.28/10.66	% ------------------------------
9.28/10.66	% Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100)
9.28/10.66	% Termination reason: Refutation not found, incomplete strategy
9.28/10.66	
9.28/10.66	% Memory used [KB]: 511
9.28/10.66	% Time elapsed: 0.031 s
9.28/10.66	% ------------------------------
9.28/10.66	% ------------------------------
9.35/10.69	% 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
27.41/28.68	% Refutation found. Thanks to Tanya!
27.41/28.68	% SZS status Theorem for theBenchmark
27.41/28.68	% SZS output start Proof for theBenchmark
27.41/28.68	tff(func_def_6, type, sK0: $int).
27.41/28.68	tff(func_def_7, type, sK1: $int).
27.41/28.68	tff(func_def_8, type, sK2: $int).
27.41/28.68	tff(func_def_9, type, '$inst3': $int).
27.41/28.68	tff(func_def_10, type, '$inst4': $int).
27.41/28.68	tff(func_def_11, type, '$inst5': $int).
27.41/28.68	tff(func_def_12, type, '$inst6': $int).
27.41/28.68	tff(func_def_14, type, '$inst7': $int).
27.41/28.68	tff(func_def_20, type, '$inst8': $int).
27.41/28.68	tff(f1,conjecture,(
27.41/28.68	  ! [X0 : $int,X1 : $int,X2 : $int] : (($less(0,X0) & $lesseq(0,X1) & $lesseq(0,X2) & ($less(X0,X1) | $less(X0,X2))) => ? [X3 : $int] : ($less($sum(X0,X3),4) & $less(3,$sum($sum(X1,X2),X3))))),
27.41/28.68	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',mix_quant_ineq_sys_solvable_4)).
27.41/28.68	tff(f2,negated_conjecture,(
27.41/28.68	  ~! [X0 : $int,X1 : $int,X2 : $int] : (($less(0,X0) & $lesseq(0,X1) & $lesseq(0,X2) & ($less(X0,X1) | $less(X0,X2))) => ? [X3 : $int] : ($less($sum(X0,X3),4) & $less(3,$sum($sum(X1,X2),X3))))),
27.41/28.68	  inference(negated_conjecture,[],[f1])).
27.41/28.68	tff(f3,plain,(
27.41/28.68	  ( ! [X0:$int,X1:$int] : ($sum(X0,X1) = $sum(X1,X0)) )),
27.41/28.68	  introduced(theory_axiom,[])).
27.41/28.68	tff(f4,plain,(
27.41/28.68	  ( ! [X2:$int,X0:$int,X1:$int] : ($sum(X0,$sum(X1,X2)) = $sum($sum(X0,X1),X2)) )),
27.41/28.68	  introduced(theory_axiom,[])).
27.41/28.68	tff(f6,plain,(
27.41/28.68	  ( ! [X0:$int,X1:$int] : ($sum($uminus(X1),$uminus(X0)) = $uminus($sum(X0,X1))) )),
27.41/28.68	  introduced(theory_axiom,[])).
27.41/28.68	tff(f7,plain,(
27.41/28.68	  ( ! [X0:$int] : ($sum(X0,$uminus(X0)) = 0) )),
27.41/28.68	  introduced(theory_axiom,[])).
27.41/28.68	tff(f9,plain,(
27.41/28.68	  ( ! [X2:$int,X0:$int,X1:$int] : (~$less(X1,X2) | ~$less(X0,X1) | $less(X0,X2)) )),
27.41/28.68	  introduced(theory_axiom,[])).
27.41/28.68	tff(f10,plain,(
27.41/28.68	  ( ! [X0:$int,X1:$int] : ($less(X1,X0) | $less(X0,X1) | X0 = X1) )),
27.41/28.68	  introduced(theory_axiom,[])).
27.41/28.68	tff(f11,plain,(
27.41/28.68	  ( ! [X2:$int,X0:$int,X1:$int] : ($less($sum(X0,X2),$sum(X1,X2)) | ~$less(X0,X1)) )),
27.41/28.68	  introduced(theory_axiom,[])).
27.41/28.68	tff(f12,plain,(
27.41/28.68	  ( ! [X0:$int,X1:$int] : ($less(X1,$sum(X0,1)) | $less(X0,X1)) )),
27.41/28.68	  introduced(theory_axiom,[])).
27.41/28.68	tff(f13,plain,(
27.41/28.68	  ( ! [X0:$int] : ($uminus($uminus(X0)) = X0) )),
27.41/28.68	  introduced(theory_axiom,[])).
27.41/28.68	tff(f14,plain,(
27.41/28.68	  ( ! [X0:$int,X1:$int] : (~$less(X1,$sum(X0,1)) | ~$less(X0,X1)) )),
27.41/28.68	  introduced(theory_axiom,[])).
27.41/28.68	tff(f15,plain,(
27.41/28.68	  ~! [X0 : $int,X1 : $int,X2 : $int] : (($less(0,X0) & ~$less(X1,0) & ~$less(X2,0) & ($less(X0,X1) | $less(X0,X2))) => ? [X3 : $int] : ($less($sum(X0,X3),4) & $less(3,$sum($sum(X1,X2),X3))))),
27.41/28.68	  inference(evaluation,[],[f2])).
27.41/28.68	tff(f16,plain,(
27.41/28.68	  ? [X0 : $int,X1 : $int,X2 : $int] : (! [X3 : $int] : (~$less($sum(X0,X3),4) | ~$less(3,$sum($sum(X1,X2),X3))) & ($less(0,X0) & ~$less(X1,0) & ~$less(X2,0) & ($less(X0,X1) | $less(X0,X2))))),
27.41/28.68	  inference(ennf_transformation,[],[f15])).
27.41/28.68	tff(f17,plain,(
27.41/28.68	  ? [X0 : $int,X1 : $int,X2 : $int] : (! [X3 : $int] : (~$less($sum(X0,X3),4) | ~$less(3,$sum($sum(X1,X2),X3))) & $less(0,X0) & ~$less(X1,0) & ~$less(X2,0) & ($less(X0,X1) | $less(X0,X2)))),
27.41/28.68	  inference(flattening,[],[f16])).
27.41/28.68	tff(f18,plain,(
27.41/28.68	  ? [X0 : $int,X1 : $int,X2 : $int] : (! [X3 : $int] : (~$less($sum(X0,X3),4) | ~$less(3,$sum($sum(X1,X2),X3))) & $less(0,X0) & ~$less(X1,0) & ~$less(X2,0) & ($less(X0,X1) | $less(X0,X2))) => (! [X3 : $int] : (~$less($sum(sK0,X3),4) | ~$less(3,$sum($sum(sK1,sK2),X3))) & $less(0,sK0) & ~$less(sK1,0) & ~$less(sK2,0) & ($less(sK0,sK1) | $less(sK0,sK2)))),
27.41/28.68	  introduced(choice_axiom,[])).
27.41/28.68	tff(f19,plain,(
27.41/28.68	  ! [X3 : $int] : (~$less($sum(sK0,X3),4) | ~$less(3,$sum($sum(sK1,sK2),X3))) & $less(0,sK0) & ~$less(sK1,0) & ~$less(sK2,0) & ($less(sK0,sK1) | $less(sK0,sK2))),
27.41/28.68	  inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f17,f18])).
27.41/28.68	tff(f20,plain,(
27.41/28.68	  $less(sK0,sK2) | $less(sK0,sK1)),
27.41/28.68	  inference(cnf_transformation,[],[f19])).
27.41/28.68	tff(f21,plain,(
27.41/28.68	  ~$less(sK2,0)),
27.41/28.68	  inference(cnf_transformation,[],[f19])).
27.41/28.68	tff(f22,plain,(
27.41/28.68	  ~$less(sK1,0)),
27.41/28.68	  inference(cnf_transformation,[],[f19])).
27.41/28.68	tff(f24,plain,(
27.41/28.68	  ( ! [X3:$int] : (~$less($sum(sK0,X3),4) | ~$less(3,$sum($sum(sK1,sK2),X3))) )),
27.41/28.68	  inference(cnf_transformation,[],[f19])).
27.41/28.68	tff(f25,plain,(
27.41/28.68	  ( ! [X3:$int] : (~$less(3,$sum(sK1,$sum(sK2,X3))) | ~$less($sum(sK0,X3),4)) )),
27.41/28.68	  inference(forward_demodulation,[],[f24,f4])).
27.41/28.68	tff(f57,plain,(
27.41/28.68	  ( ! [X0:$int] : ($sum(X0,1) != 0 | $less(X0,sK1)) )),
27.41/28.68	  inference(constrained_resolution,[],[f12,f22])).
27.41/28.68	tff(f64,plain,(
27.41/28.68	  ( ! [X0:$int] : ($uminus(1) != X0 | $less(X0,sK1)) )),
27.41/28.68	  inference(evaluation,[],[f57])).
27.41/28.68	tff(f65,plain,(
27.41/28.68	  ( ! [X0:$int] : (-1 != X0 | $less(X0,sK1)) )),
27.41/28.68	  inference(evaluation,[],[f64])).
27.41/28.68	tff(f73,plain,(
27.41/28.68	  ( ! [X4:$int,X5:$int] : (~$less(X5,$sum(1,X4)) | ~$less(X4,X5)) )),
27.41/28.68	  inference(superposition,[],[f14,f3])).
27.41/28.68	tff(f95,plain,(
27.41/28.68	  ( ! [X6:$int,X5:$int] : ($sum($uminus(X6),$uminus(X5)) = $uminus($sum(X6,X5))) )),
27.41/28.68	  inference(superposition,[],[f6,f3])).
27.41/28.68	tff(f114,plain,(
27.41/28.68	  ( ! [X2:$int,X3:$int] : ($less($sum(X3,$uminus(X2)),0) | ~$less(X3,X2)) )),
27.41/28.68	  inference(superposition,[],[f11,f7])).
27.41/28.68	tff(f121,plain,(
27.41/28.68	  ( ! [X2:$int,X3:$int] : ($sum(0,X3) = $sum(X2,$sum($uminus(X2),X3))) )),
27.41/28.68	  inference(superposition,[],[f4,f7])).
27.41/28.68	tff(f129,plain,(
27.41/28.68	  ( ! [X12:$int,X13:$int,X11:$int] : ($sum(X11,$sum(X12,X13)) = $sum(X13,$sum(X11,X12))) )),
27.41/28.68	  inference(superposition,[],[f4,f3])).
27.41/28.68	tff(f132,plain,(
27.41/28.68	  ( ! [X6:$int,X4:$int,X7:$int,X5:$int] : ($less($sum(X4,$sum(X5,X6)),$sum(X7,X6)) | ~$less($sum(X4,X5),X7)) )),
27.41/28.68	  inference(superposition,[],[f11,f4])).
27.41/28.68	tff(f137,plain,(
27.41/28.68	  ( ! [X21:$int,X19:$int,X20:$int] : ($less(X21,$sum(X19,$sum(X20,1))) | $less($sum(X19,X20),X21)) )),
27.41/28.68	  inference(superposition,[],[f12,f4])).
27.41/28.68	tff(f141,plain,(
27.41/28.68	  ( ! [X2:$int,X3:$int] : ($sum(X2,$sum($uminus(X2),X3)) = X3) )),
27.41/28.68	  inference(evaluation,[],[f121])).
27.41/28.68	tff(f148,plain,(
27.41/28.68	  $less(-1,sK1)),
27.41/28.68	  inference(equality_resolution,[],[f65])).
27.41/28.68	tff(f421,plain,(
27.41/28.68	  ( ! [X12:$int,X13:$int,X11:$int] : ($sum(X11,$sum(X12,$sum($uminus($sum(X11,X12)),X13))) = X13) )),
27.41/28.68	  inference(superposition,[],[f141,f4])).
27.41/28.68	tff(f424,plain,(
27.41/28.68	  ( ! [X6:$int,X7:$int,X5:$int] : ($less($sum(X7,$sum($uminus(X5),X6)),X6) | ~$less(X7,X5)) )),
27.41/28.68	  inference(superposition,[],[f11,f141])).
27.41/28.68	tff(f441,plain,(
27.41/28.68	  ( ! [X39:$int] : (~$less($sum(sK0,$sum($uminus(sK2),X39)),4) | ~$less(3,$sum(sK1,X39))) )),
27.41/28.68	  inference(superposition,[],[f25,f141])).
27.41/28.68	tff(f467,plain,(
27.41/28.68	  ( ! [X2:$int,X3:$int] : ($sum(X2,$uminus(X3)) != sK2 | ~$less(X2,X3)) )),
27.41/28.68	  inference(constrained_resolution,[],[f114,f21])).
27.41/28.68	tff(f588,plain,(
27.41/28.68	  ( ! [X6:$int,X5:$int] : ($sum(X5,$uminus($sum(X5,X6))) = $uminus(X6)) )),
27.41/28.68	  inference(superposition,[],[f141,f95])).
27.41/28.68	tff(f1126,plain,(
27.41/28.68	  ( ! [X8:$int,X9:$int] : (~$less($sum(X8,1),X9) | $less($sum(1,X8),X9)) )),
27.41/28.68	  inference(resolution,[],[f137,f73])).
27.41/28.68	tff(f1617,plain,(
27.41/28.68	  ( ! [X10:$int,X8:$int,X11:$int,X9:$int] : ($less($sum(X10,$sum(X11,$sum($uminus(X8),X9))),X9) | ~$less($sum(X10,X11),X8)) )),
27.41/28.68	  inference(superposition,[],[f132,f141])).
27.41/28.68	tff(f7480,plain,(
27.41/28.68	  ( ! [X23:$int,X22:$int] : ($uminus(X23) != sK2 | ~$less(X22,$sum(X22,X23))) )),
27.41/28.68	  inference(superposition,[],[f467,f588])).
27.41/28.68	tff(f9379,plain,(
27.41/28.68	  ~$less(sK0,sK2) | ~$less(3,$sum(sK1,4))),
27.41/28.68	  inference(resolution,[],[f424,f441])).
27.41/28.68	tff(f9439,plain,(
27.41/28.68	  ~$less(sK0,sK2) | ~$less($sum(3,-4),sK1)),
27.41/28.68	  inference(evaluation,[],[f9379])).
27.41/28.68	tff(f9440,plain,(
27.41/28.68	  ~$less(sK0,sK2) | ~$less(-1,sK1)),
27.41/28.68	  inference(evaluation,[],[f9439])).
27.41/28.68	tff(f9462,plain,(
27.41/28.68	  ~$less(sK0,sK2)),
27.41/28.68	  inference(subsumption_resolution,[],[f9440,f148])).
27.41/28.68	tff(f9463,plain,(
27.41/28.68	  $less(sK0,sK1)),
27.41/28.68	  inference(subsumption_resolution,[],[f20,f9462])).
27.41/28.68	tff(f9498,plain,(
27.41/28.68	  ( ! [X4:$int] : ($sum(X4,1) != sK0 | $less($sum(1,X4),sK1)) )),
27.41/28.68	  inference(constrained_resolution,[],[f9463,f1126])).
27.41/28.68	tff(f9503,plain,(
27.41/28.68	  ( ! [X9:$int] : (~$less(X9,sK0) | $less(X9,sK1)) )),
27.41/28.68	  inference(resolution,[],[f9463,f9])).
27.41/28.68	tff(f9520,plain,(
27.41/28.68	  ( ! [X6:$int] : ($less(sK0,X6) | $less(X6,sK1) | sK0 = X6) )),
27.41/28.68	  inference(resolution,[],[f9503,f10])).
27.41/28.68	tff(f9746,plain,(
27.41/28.68	  ( ! [X10:$int] : ($less(sK0,$sum(X10,1)) | $sum(X10,1) = sK0 | $less($sum(1,X10),sK1)) )),
27.41/28.68	  inference(resolution,[],[f9520,f1126])).
27.41/28.68	tff(f9750,plain,(
27.41/28.68	  ( ! [X10:$int] : ($less($sum(1,X10),sK1) | $less(sK0,$sum(X10,1))) )),
27.41/28.68	  inference(subsumption_resolution,[],[f9746,f9498])).
27.41/28.68	tff(f78538,plain,(
27.41/28.68	  ( ! [X165:$int] : (~$less($sum(sK0,$uminus(sK2)),X165) | ~$less(3,$sum(sK1,$sum($uminus(X165),4)))) )),
27.41/28.68	  inference(resolution,[],[f1617,f441])).
27.41/28.68	tff(f78838,plain,(
27.41/28.68	  ( ! [X165:$int] : (~$less(3,$sum(4,$sum(sK1,$uminus(X165)))) | ~$less($sum(sK0,$uminus(sK2)),X165)) )),
27.41/28.68	  inference(forward_demodulation,[],[f78538,f129])).
27.41/28.68	tff(f89946,plain,(
27.41/28.68	  ( ! [X64:$int,X63:$int] : ($less(X64,sK1) | $less(sK0,$sum($sum(X63,$sum($uminus($sum(1,X63)),X64)),1))) )),
27.41/28.68	  inference(superposition,[],[f9750,f421])).
27.41/28.68	tff(f89984,plain,(
27.41/28.68	  ( ! [X64:$int,X63:$int] : ($less(sK0,$sum(1,$sum(X63,$sum($uminus($sum(1,X63)),X64)))) | $less(X64,sK1)) )),
27.41/28.68	  inference(forward_demodulation,[],[f89946,f3])).
27.41/28.68	tff(f89985,plain,(
27.41/28.68	  ( ! [X64:$int] : ($less(sK0,X64) | $less(X64,sK1)) )),
27.41/28.68	  inference(forward_demodulation,[],[f89984,f421])).
27.41/28.68	tff(f108130,plain,(
27.41/28.68	  ~$less(3,$sum(4,0)) | ~$less($sum(sK0,$uminus(sK2)),sK1)),
27.41/28.68	  inference(superposition,[],[f78838,f7])).
27.41/28.68	tff(f108132,plain,(
27.41/28.68	  ~$less($sum(sK0,$uminus(sK2)),sK1)),
27.41/28.68	  inference(evaluation,[],[f108130])).
27.41/28.68	tff(f110239,plain,(
27.41/28.68	  $less(sK0,$sum(sK0,$uminus(sK2)))),
27.41/28.68	  inference(resolution,[],[f108132,f89985])).
27.41/28.68	tff(f112832,plain,(
27.41/28.68	  ( ! [X0:$int] : ($less(sK0,$sum(sK0,X0)) | $uminus(X0) != sK2) )),
27.41/28.68	  inference(constrained_superposition,[],[f110239,f13])).
27.41/28.68	tff(f112839,plain,(
27.41/28.68	  ( ! [X0:$int] : ($uminus(X0) != sK2) )),
27.41/28.68	  inference(subsumption_resolution,[],[f112832,f7480])).
27.41/28.68	tff(f114074,plain,(
27.41/28.68	  ( ! [X0:$int] : (sK2 != X0) )),
27.41/28.68	  inference(superposition,[],[f112839,f13])).
27.41/28.68	tff(f116748,plain,(
27.41/28.68	  $false),
27.41/28.68	  inference(equality_resolution,[],[f114074])).
27.41/28.68	% SZS output end Proof for theBenchmark
27.41/28.68	% ------------------------------
27.41/28.68	% Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100)
27.41/28.68	% Termination reason: Refutation
27.41/28.68	
27.41/28.68	% Memory used [KB]: 122556
27.41/28.68	% Time elapsed: 17.985 s
27.41/28.68	% ------------------------------
27.41/28.68	% ------------------------------
27.41/28.69	% Success in time 27.271 s
27.49/28.80	EOF