0.02/0.10	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.02/0.10	% Command    : run_vampire %s %d THM
0.09/0.30	% Computer : n012.cluster.edu
0.09/0.30	% Model    : x86_64 x86_64
0.09/0.30	% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.09/0.30	% Memory   : 8042.1875MB
0.09/0.30	% OS       : Linux 3.10.0-693.el7.x86_64
0.09/0.30	% CPULimit   : 960
0.09/0.30	% WCLimit    : 120
0.09/0.30	% DateTime   : Wed Jul 30 06:08:49 EDT 2025
0.09/0.30	% CPUTime    : 
0.15/0.32	This is a TFF_ problem
0.15/0.32	Running first-order theorem proving
0.15/0.32	Running /export/starexec/sandbox/solver/bin/vampire --mode casc -m 16384 --cores 7 -t 120 /export/starexec/sandbox/benchmark/theBenchmark.p
0.15/0.42	% (4852)Running in auto input_syntax mode. Trying TPTP
0.15/0.42	% (4855)dis+1011_1:64_drc=off:flr=on:nwc=2.0:sac=on:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (1199ds/8Mi)
0.15/0.43	% (4855)Instruction limit reached!
0.15/0.43	% (4855)------------------------------
0.15/0.43	% (4855)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
0.15/0.43	% (4855)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
0.15/0.43	% (4855)Termination reason: Time limit
0.15/0.43	% (4855)Termination phase: Saturation
0.15/0.43	
0.15/0.43	% (4855)Memory used [KB]: 880
0.15/0.43	% (4855)Time elapsed: 0.052 s
0.15/0.43	% (4855)Instructions burned: 8 (million)
0.15/0.43	% (4852)Running in auto input_syntax mode. Trying TPTP
0.15/0.43	% (4859)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=32:si=on:rawr=on:rtra=on_0 on theBenchmark for (1199ds/32Mi)
0.15/0.43	% (4852)Running in auto input_syntax mode. Trying TPTP
0.15/0.43	% (4854)lrs+1010_1:1_aac=none:bce=on:nicw=on:nm=0:plsq=on:plsql=on:sac=on:sos=on:sp=frequency:spb=units:to=lpo:i=34:si=on:rawr=on:rtra=on_0 on theBenchmark for (1199ds/34Mi)
0.15/0.44	% (4854)Refutation not found, incomplete strategy% (4854)------------------------------
0.15/0.44	% (4854)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
0.15/0.44	% (4854)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
0.15/0.44	% (4854)Termination reason: Refutation not found, incomplete strategy
0.15/0.44	
0.15/0.44	% (4854)Memory used [KB]: 816
0.15/0.44	% (4854)Time elapsed: 0.003 s
0.15/0.44	% (4854)Instructions burned: 4 (million)
0.15/0.44	% (4854)------------------------------
0.15/0.44	% (4854)------------------------------
0.15/0.44	% (4852)Running in auto input_syntax mode. Trying TPTP
0.15/0.44	% (4857)ott+1011_1:2_br=off:bs=unit_only:bsr=unit_only:nwc=5.0:s2a=on:s2agt=32:urr=on:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (1199ds/37Mi)
0.15/0.44	% (4852)Running in auto input_syntax mode. Trying TPTP
0.15/0.44	% (4856)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (1199ds/2Mi)
0.15/0.44	% (4856)Instruction limit reached!
0.15/0.44	% (4856)------------------------------
0.15/0.44	% (4856)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
0.15/0.44	% (4856)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
0.15/0.44	% (4856)Termination reason: Time limit
0.15/0.44	% (4856)Termination phase: Saturation
0.15/0.44	
0.15/0.44	% (4856)Memory used [KB]: 770
0.15/0.44	% (4856)Time elapsed: 0.003 s
0.15/0.44	% (4856)Instructions burned: 2 (million)
0.15/0.45	% (4859)Instruction limit reached!
0.15/0.45	% (4859)------------------------------
0.15/0.45	% (4859)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
0.15/0.45	% (4859)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
0.15/0.45	% (4859)Termination reason: Time limit
0.15/0.45	% (4859)Termination phase: Saturation
0.15/0.45	
0.15/0.45	% (4859)Memory used [KB]: 970
0.15/0.45	% (4859)Time elapsed: 0.074 s
0.15/0.45	% (4859)Instructions burned: 32 (million)
0.15/0.46	% (4852)Running in auto input_syntax mode. Trying TPTP
0.15/0.46	% (4853)dis+1010_1:4_aac=none:abs=on:atotf=0.5:avsq=on:avsqc=2:avsqr=215,247:awrs=converge:awrsf=128:bsd=on:erd=off:fde=none:gve=cautious:newcnf=on:nwc=5.0:rnwc=on:sac=on:sas=z3:sp=const_min:tgt=ground:thsq=on:thsqc=64:thsqr=1,4:i=59848:si=on:rawr=on:rtra=on_0 on theBenchmark for (1199ds/59848Mi)
0.15/0.48	% (4857)Instruction limit reached!
0.15/0.48	% (4857)------------------------------
0.15/0.48	% (4857)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
0.15/0.48	% (4857)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
0.15/0.48	% (4857)Termination reason: Time limit
0.15/0.48	% (4857)Termination phase: Saturation
0.15/0.48	
0.15/0.48	% (4857)Memory used [KB]: 1057
0.15/0.48	% (4857)Time elapsed: 0.057 s
0.15/0.48	% (4857)Instructions burned: 38 (million)
0.15/0.49	% (4852)Running in auto input_syntax mode. Trying TPTP
0.15/0.49	% (4858)lrs+10_1:32_s2a=on:s2agt=10:sgt=8:ss=axioms:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (1199ds/15Mi)
0.15/0.51	% (4858)Instruction limit reached!
0.15/0.51	% (4858)------------------------------
0.15/0.51	% (4858)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
0.15/0.51	% (4858)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
0.15/0.51	% (4858)Termination reason: Time limit
0.15/0.51	% (4858)Termination phase: Saturation
0.15/0.51	
0.15/0.51	% (4858)Memory used [KB]: 907
0.15/0.51	% (4858)Time elapsed: 0.118 s
0.15/0.51	% (4858)Instructions burned: 16 (million)
0.15/0.51	% (4852)Running in auto input_syntax mode. Trying TPTP
0.15/0.51	% (4865)lrs+10_1:1_canc=force:tha=some:to=lpo:i=35:si=on:rawr=on:rtra=on_0 on theBenchmark for (1198ds/35Mi)
0.15/0.53	% (4865)Instruction limit reached!
0.15/0.53	% (4865)------------------------------
0.15/0.53	% (4865)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
0.15/0.53	% (4865)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
0.15/0.53	% (4865)Termination reason: Time limit
0.15/0.53	% (4865)Termination phase: Saturation
0.15/0.53	
0.15/0.53	% (4865)Memory used [KB]: 886
0.15/0.53	% (4865)Time elapsed: 0.019 s
0.15/0.53	% (4865)Instructions burned: 37 (million)
1.00/0.58	% (4852)Running in auto input_syntax mode. Trying TPTP
1.00/0.58	% (4861)lrs+1010_1:1_ep=RST:s2a=on:s2at=5.0:sos=all:i=26:si=on:rawr=on:rtra=on_0 on theBenchmark for (1198ds/26Mi)
1.00/0.58	% (4852)Running in auto input_syntax mode. Trying TPTP
1.00/0.58	% (4860)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=36:si=on:rawr=on:rtra=on_0 on theBenchmark for (1198ds/36Mi)
1.00/0.60	% (4860)Refutation not found, incomplete strategy% (4860)------------------------------
1.00/0.60	% (4860)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
1.00/0.60	% (4860)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
1.00/0.60	% (4860)Termination reason: Refutation not found, incomplete strategy
1.00/0.60	
1.00/0.60	% (4860)Memory used [KB]: 754
1.00/0.60	% (4860)Time elapsed: 0.109 s
1.00/0.60	% (4860)Instructions burned: 2 (million)
1.00/0.60	% (4860)------------------------------
1.00/0.60	% (4860)------------------------------
1.00/0.60	% (4852)Running in auto input_syntax mode. Trying TPTP
1.00/0.60	% (4863)lrs+10_1:8_ep=R:erd=off:fs=off:fsr=off:gve=force:nwc=2.0:uwa=one_side_interpreted:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (1198ds/2Mi)
1.00/0.60	% (4863)Instruction limit reached!
1.00/0.60	% (4863)------------------------------
1.00/0.60	% (4863)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
1.00/0.60	% (4863)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
1.00/0.60	% (4863)Termination reason: Time limit
1.00/0.60	% (4863)Termination phase: Equality proxy
1.00/0.60	
1.00/0.60	% (4863)Memory used [KB]: 740
1.00/0.60	% (4863)Time elapsed: 0.005 s
1.00/0.60	% (4863)Instructions burned: 2 (million)
1.00/0.62	% (4861)Instruction limit reached!
1.00/0.62	% (4861)------------------------------
1.00/0.62	% (4861)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
1.00/0.62	% (4861)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
1.00/0.62	% (4861)Termination reason: Time limit
1.00/0.62	% (4861)Termination phase: Saturation
1.00/0.62	
1.00/0.62	% (4861)Memory used [KB]: 1106
1.00/0.62	% (4861)Time elapsed: 0.106 s
1.00/0.62	% (4861)Instructions burned: 27 (million)
1.00/0.63	% (4853)First to succeed.
1.00/0.63	% (4853)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-4852"
1.00/0.63	% (4852)Running in auto input_syntax mode. Trying TPTP
1.00/0.63	% (4853)Refutation found. Thanks to Tanya!
1.00/0.63	% SZS status Theorem for theBenchmark
1.00/0.63	% SZS output start Proof for theBenchmark
1.00/0.63	tff(func_def_0, type, a: $int).
1.00/0.63	tff(func_def_9, type, sF0: $int).
1.00/0.63	tff(f1968,plain,(
1.00/0.63	  $false),
1.00/0.63	  inference(avatar_smt_refutation,[],[f34,f38,f42,f316,f328,f355,f378,f630,f638,f653,f836,f928,f935,f940,f1151,f1213,f1217,f1347,f1362,f1368,f1387,f1564,f1569,f1593,f1598,f1717,f1799,f1917,f1921,f1956])).
1.00/0.63	tff(f1956,plain,(
1.00/0.63	  spl1_13 | ~spl1_29),
1.00/0.63	  inference(avatar_contradiction_clause,[],[f1955])).
1.00/0.63	tff(f1955,plain,(
1.00/0.63	  $false | (spl1_13 | ~spl1_29)),
1.00/0.63	  inference(evaluation,[],[f1938])).
1.00/0.63	tff(f1938,plain,(
1.00/0.63	  ~$less($sum(-1,1),1) | (spl1_13 | ~spl1_29)),
1.00/0.63	  inference(backward_demodulation,[],[f835,f1795])).
1.00/0.63	tff(f1795,plain,(
1.00/0.63	  1 = $abs(a) | ~spl1_29),
1.00/0.63	  inference(avatar_component_clause,[],[f1794])).
1.00/0.63	tff(f1794,plain,(
1.00/0.63	  spl1_29 <=> 1 = $abs(a)),
1.00/0.63	  introduced(avatar_definition,[new_symbols(naming,[spl1_29])])).
1.00/0.63	tff(f835,plain,(
1.00/0.63	  ~$less($sum(-1,$abs(a)),1) | spl1_13),
1.00/0.63	  inference(avatar_component_clause,[],[f834])).
1.00/0.63	tff(f834,plain,(
1.00/0.63	  spl1_13 <=> $less($sum(-1,$abs(a)),1)),
1.00/0.63	  introduced(avatar_definition,[new_symbols(naming,[spl1_13])])).
1.00/0.63	tff(f1921,plain,(
1.00/0.63	  ~spl1_32 | spl1_1 | ~spl1_10 | ~spl1_16),
1.00/0.63	  inference(avatar_split_clause,[],[f1906,f933,f633,f32,f1919])).
1.00/0.63	tff(f1919,plain,(
1.00/0.63	  spl1_32 <=> $less($uminus(a),1)),
1.00/0.63	  introduced(avatar_definition,[new_symbols(naming,[spl1_32])])).
1.00/0.63	tff(f32,plain,(
1.00/0.63	  spl1_1 <=> 0 = a),
1.00/0.63	  introduced(avatar_definition,[new_symbols(naming,[spl1_1])])).
1.00/0.63	tff(f633,plain,(
1.00/0.63	  spl1_10 <=> $less(1,$remainder_e(0,a))),
1.00/0.63	  introduced(avatar_definition,[new_symbols(naming,[spl1_10])])).
1.00/0.63	tff(f933,plain,(
1.00/0.63	  spl1_16 <=> $less(a,0)),
1.00/0.63	  introduced(avatar_definition,[new_symbols(naming,[spl1_16])])).
1.00/0.63	tff(f1906,plain,(
1.00/0.63	  ~$less($uminus(a),1) | (spl1_1 | ~spl1_10 | ~spl1_16)),
1.00/0.63	  inference(evaluation,[],[f1894])).
1.00/0.63	tff(f1894,plain,(
1.00/0.63	  ~$less($uminus(a),1) | ~$less(-1,$uminus(0)) | (spl1_1 | ~spl1_10 | ~spl1_16)),
1.00/0.63	  inference(superposition,[],[f1838,f5])).
1.00/0.63	tff(f5,plain,(
1.00/0.63	  ( ! [X0 : $int] : ($sum(X0,0) = X0) )),
1.00/0.63	  introduced(theory_axiom_145,[])).
1.00/0.63	tff(f1838,plain,(
1.00/0.63	  ( ! [X0 : $int] : (~$less($uminus($sum(a,X0)),1) | ~$less(-1,$uminus(X0))) ) | (spl1_1 | ~spl1_10 | ~spl1_16)),
1.00/0.63	  inference(subsumption_resolution,[],[f1817,f934])).
1.00/0.63	tff(f934,plain,(
1.00/0.63	  $less(a,0) | ~spl1_16),
1.00/0.63	  inference(avatar_component_clause,[],[f933])).
1.00/0.63	tff(f1817,plain,(
1.00/0.63	  ( ! [X0 : $int] : (~$less(-1,$uminus(X0)) | ~$less($uminus($sum(a,X0)),1) | ~$less(a,0)) ) | (spl1_1 | ~spl1_10)),
1.00/0.63	  inference(superposition,[],[f1135,f143])).
1.00/0.63	tff(f143,plain,(
1.00/0.63	  ( ! [X0 : $int,X1 : $int] : ($uminus($sum(X0,X1)) = $sum($uminus(X1),$abs(X0)) | ~$less(X0,0)) )),
1.00/0.63	  inference(superposition,[],[f6,f21])).
1.00/0.63	tff(f21,plain,(
1.00/0.63	  ( ! [X1 : $int] : ($uminus(X1) = $abs(X1) | ~$less(X1,0)) )),
1.00/0.63	  introduced(theory_axiom_166,[])).
1.00/0.63	tff(f6,plain,(
1.00/0.63	  ( ! [X0 : $int,X1 : $int] : ($uminus($sum(X0,X1)) = $sum($uminus(X1),$uminus(X0))) )),
1.00/0.63	  introduced(theory_axiom_147,[])).
1.00/0.63	tff(f1135,plain,(
1.00/0.63	  ( ! [X0 : $int] : (~$less($sum(X0,$abs(a)),1) | ~$less(-1,X0)) ) | (spl1_1 | ~spl1_10)),
1.00/0.63	  inference(resolution,[],[f1121,f11])).
1.00/0.63	tff(f11,plain,(
1.00/0.63	  ( ! [X2 : $int,X0 : $int,X1 : $int] : ($less($sum(X0,X2),$sum(X1,X2)) | ~$less(X0,X1)) )),
1.00/0.63	  introduced(theory_axiom_153,[])).
1.00/0.63	tff(f1121,plain,(
1.00/0.63	  ( ! [X0 : $int] : (~$less($sum(-1,$abs(a)),X0) | ~$less(X0,1)) ) | (spl1_1 | ~spl1_10)),
1.00/0.63	  inference(forward_demodulation,[],[f1120,f3])).
1.00/0.63	tff(f3,plain,(
1.00/0.63	  ( ! [X0 : $int,X1 : $int] : ($sum(X0,X1) = $sum(X1,X0)) )),
1.00/0.63	  introduced(theory_axiom_143,[])).
1.00/0.63	tff(f1120,plain,(
1.00/0.63	  ( ! [X0 : $int] : (~$less(X0,1) | ~$less($sum($abs(a),-1),X0)) ) | (spl1_1 | ~spl1_10)),
1.00/0.63	  inference(subsumption_resolution,[],[f1119,f33])).
1.00/0.63	tff(f33,plain,(
1.00/0.63	  0 != a | spl1_1),
1.00/0.63	  inference(avatar_component_clause,[],[f32])).
1.00/0.63	tff(f1119,plain,(
1.00/0.63	  ( ! [X0 : $int] : (~$less(X0,1) | ~$less($sum($abs(a),-1),X0) | 0 = a) ) | ~spl1_10),
1.00/0.63	  inference(evaluation,[],[f1117])).
1.00/0.63	tff(f1117,plain,(
1.00/0.63	  ( ! [X0 : $int] : (~$less(X0,1) | 0 = a | ~$less($sum($abs(a),$uminus(1)),X0)) ) | ~spl1_10),
1.00/0.63	  inference(resolution,[],[f641,f24])).
1.00/0.63	tff(f24,plain,(
1.00/0.63	  ( ! [X2 : $int,X1 : $int] : (~$less($sum($abs(X2),$uminus(1)),$remainder_e(X1,X2)) | 0 = X2) )),
1.00/0.63	  introduced(theory_axiom_162,[])).
1.00/0.63	tff(f641,plain,(
1.00/0.63	  ( ! [X0 : $int,X1 : $int] : ($less(X1,$remainder_e(0,a)) | ~$less(X0,1) | ~$less(X1,X0)) ) | ~spl1_10),
1.00/0.63	  inference(resolution,[],[f639,f9])).
1.00/0.63	tff(f9,plain,(
1.00/0.63	  ( ! [X2 : $int,X0 : $int,X1 : $int] : (~$less(X1,X2) | $less(X0,X2) | ~$less(X0,X1)) )),
1.00/0.63	  introduced(theory_axiom_151,[])).
1.00/0.63	tff(f639,plain,(
1.00/0.63	  ( ! [X0 : $int] : ($less(X0,$remainder_e(0,a)) | ~$less(X0,1)) ) | ~spl1_10),
1.00/0.63	  inference(resolution,[],[f634,f9])).
1.00/0.63	tff(f634,plain,(
1.00/0.63	  $less(1,$remainder_e(0,a)) | ~spl1_10),
1.00/0.63	  inference(avatar_component_clause,[],[f633])).
1.00/0.63	tff(f1917,plain,(
1.00/0.63	  ~spl1_31 | spl1_1 | ~spl1_10 | ~spl1_16),
1.00/0.63	  inference(avatar_split_clause,[],[f1903,f933,f633,f32,f1915])).
1.00/0.63	tff(f1915,plain,(
1.00/0.63	  spl1_31 <=> $less(-1,a)),
1.00/0.63	  introduced(avatar_definition,[new_symbols(naming,[spl1_31])])).
1.00/0.63	tff(f1903,plain,(
1.00/0.63	  ~$less(-1,a) | (spl1_1 | ~spl1_10 | ~spl1_16)),
1.00/0.63	  inference(evaluation,[],[f1899])).
1.00/0.63	tff(f1899,plain,(
1.00/0.63	  ~$less(-1,$uminus($uminus(a))) | ~$less($uminus(0),1) | (spl1_1 | ~spl1_10 | ~spl1_16)),
1.00/0.63	  inference(superposition,[],[f1838,f7])).
1.00/0.63	tff(f7,plain,(
1.00/0.63	  ( ! [X0 : $int] : (0 = $sum(X0,$uminus(X0))) )),
1.00/0.63	  introduced(theory_axiom_148,[])).
1.00/0.63	tff(f1799,plain,(
1.00/0.63	  spl1_29 | spl1_30 | spl1_18),
1.00/0.63	  inference(avatar_split_clause,[],[f1208,f1149,f1797,f1794])).
1.00/0.63	tff(f1797,plain,(
1.00/0.63	  spl1_30 <=> $less(1,$abs(a))),
1.00/0.63	  introduced(avatar_definition,[new_symbols(naming,[spl1_30])])).
1.00/0.63	tff(f1149,plain,(
1.00/0.63	  spl1_18 <=> $less($abs(a),1)),
1.00/0.63	  introduced(avatar_definition,[new_symbols(naming,[spl1_18])])).
1.00/0.63	tff(f1208,plain,(
1.00/0.63	  1 = $abs(a) | $less(1,$abs(a)) | spl1_18),
1.00/0.63	  inference(resolution,[],[f1150,f10])).
1.00/0.63	tff(f10,plain,(
1.00/0.63	  ( ! [X0 : $int,X1 : $int] : ($less(X1,X0) | X0 = X1 | $less(X0,X1)) )),
1.00/0.63	  introduced(theory_axiom_152,[])).
1.00/0.63	tff(f1150,plain,(
1.00/0.63	  ~$less($abs(a),1) | spl1_18),
1.00/0.63	  inference(avatar_component_clause,[],[f1149])).
1.00/0.63	tff(f1717,plain,(
1.00/0.63	  spl1_28 | ~spl1_24),
1.00/0.63	  inference(avatar_split_clause,[],[f1710,f1385,f1715])).
1.00/0.63	tff(f1715,plain,(
1.00/0.63	  spl1_28 <=> $less($sum(-1,$product(a,sF0)),1)),
1.00/0.63	  introduced(avatar_definition,[new_symbols(naming,[spl1_28])])).
1.00/0.63	tff(f1385,plain,(
1.00/0.63	  spl1_24 <=> $less($product(a,sF0),1)),
1.00/0.63	  introduced(avatar_definition,[new_symbols(naming,[spl1_24])])).
1.00/0.63	tff(f1710,plain,(
1.00/0.63	  $less($sum(-1,$product(a,sF0)),1) | ~spl1_24),
1.00/0.63	  inference(resolution,[],[f1388,f257])).
1.00/0.63	tff(f257,plain,(
1.00/0.63	  ( ! [X0 : $int] : ($less($sum(-1,X0),X0)) )),
1.00/0.63	  inference(evaluation,[],[f254])).
1.00/0.63	tff(f254,plain,(
1.00/0.63	  ( ! [X0 : $int] : ($less($sum($uminus(1),X0),X0)) )),
1.00/0.63	  inference(superposition,[],[f84,f204])).
1.00/0.63	tff(f204,plain,(
1.00/0.63	  ( ! [X0 : $int,X1 : $int] : ($sum(X0,$sum($uminus(X0),X1)) = X1) )),
1.00/0.63	  inference(evaluation,[],[f184])).
1.00/0.63	tff(f184,plain,(
1.00/0.63	  ( ! [X0 : $int,X1 : $int] : ($sum(0,X1) = $sum(X0,$sum($uminus(X0),X1))) )),
1.00/0.63	  inference(superposition,[],[f4,f7])).
1.00/0.63	tff(f4,plain,(
1.00/0.63	  ( ! [X2 : $int,X0 : $int,X1 : $int] : ($sum(X0,$sum(X1,X2)) = $sum($sum(X0,X1),X2)) )),
1.00/0.63	  introduced(theory_axiom_144,[])).
1.00/0.63	tff(f84,plain,(
1.00/0.63	  ( ! [X0 : $int] : ($less(X0,$sum(1,X0))) )),
1.00/0.63	  inference(superposition,[],[f67,f3])).
1.00/0.63	tff(f67,plain,(
1.00/0.63	  ( ! [X0 : $int] : ($less(X0,$sum(X0,1))) )),
1.00/0.63	  inference(resolution,[],[f12,f8])).
1.00/0.63	tff(f8,plain,(
1.00/0.63	  ( ! [X0 : $int] : (~$less(X0,X0)) )),
1.00/0.63	  introduced(theory_axiom_150,[])).
1.00/0.63	tff(f12,plain,(
1.00/0.63	  ( ! [X0 : $int,X1 : $int] : ($less(X1,$sum(X0,1)) | $less(X0,X1)) )),
1.00/0.63	  introduced(theory_axiom_155,[])).
1.00/0.63	tff(f1388,plain,(
1.00/0.63	  ( ! [X0 : $int] : (~$less(X0,$product(a,sF0)) | $less(X0,1)) ) | ~spl1_24),
1.00/0.63	  inference(resolution,[],[f1386,f9])).
1.00/0.63	tff(f1386,plain,(
1.00/0.63	  $less($product(a,sF0),1) | ~spl1_24),
1.00/0.63	  inference(avatar_component_clause,[],[f1385])).
1.00/0.63	tff(f1598,plain,(
1.00/0.63	  ~spl1_27 | ~spl1_10),
1.00/0.63	  inference(avatar_split_clause,[],[f1126,f633,f1596])).
1.00/0.63	tff(f1596,plain,(
1.00/0.63	  spl1_27 <=> $less($sum(1,$remainder_e(0,a)),1)),
1.00/0.63	  introduced(avatar_definition,[new_symbols(naming,[spl1_27])])).
1.00/0.63	tff(f1126,plain,(
1.00/0.63	  ~$less($sum(1,$remainder_e(0,a)),1) | ~spl1_10),
1.00/0.63	  inference(resolution,[],[f1114,f84])).
1.00/0.63	tff(f1114,plain,(
1.00/0.63	  ( ! [X0 : $int] : (~$less($remainder_e(0,a),X0) | ~$less(X0,1)) ) | ~spl1_10),
1.00/0.63	  inference(resolution,[],[f641,f8])).
1.00/0.63	tff(f1593,plain,(
1.00/0.63	  spl1_26 | ~spl1_9),
1.00/0.63	  inference(avatar_split_clause,[],[f1379,f628,f1591])).
1.00/0.63	tff(f1591,plain,(
1.00/0.63	  spl1_26 <=> $less($sum(-1,$product(a,sF0)),0)),
1.00/0.63	  introduced(avatar_definition,[new_symbols(naming,[spl1_26])])).
1.00/0.63	tff(f628,plain,(
1.00/0.63	  spl1_9 <=> $less($product(a,sF0),0)),
1.00/0.63	  introduced(avatar_definition,[new_symbols(naming,[spl1_9])])).
1.00/0.63	tff(f1379,plain,(
1.00/0.63	  $less($sum(-1,$product(a,sF0)),0) | ~spl1_9),
1.00/0.63	  inference(resolution,[],[f1376,f257])).
1.00/0.63	tff(f1376,plain,(
1.00/0.63	  ( ! [X0 : $int] : (~$less(X0,$product(a,sF0)) | $less(X0,0)) ) | ~spl1_9),
1.00/0.63	  inference(resolution,[],[f1364,f9])).
1.00/0.63	tff(f1364,plain,(
1.00/0.63	  $less($product(a,sF0),0) | ~spl1_9),
1.00/0.63	  inference(avatar_component_clause,[],[f628])).
1.00/0.63	tff(f1569,plain,(
1.00/0.63	  ~spl1_25 | spl1_1 | ~spl1_10),
1.00/0.63	  inference(avatar_split_clause,[],[f1226,f633,f32,f1567])).
1.00/0.63	tff(f1567,plain,(
1.00/0.63	  spl1_25 <=> $less($sum(-1,$abs(a)),0)),
1.00/0.63	  introduced(avatar_definition,[new_symbols(naming,[spl1_25])])).
1.00/0.63	tff(f1226,plain,(
1.00/0.63	  ~$less($sum(-1,$abs(a)),0) | (spl1_1 | ~spl1_10)),
1.00/0.63	  inference(evaluation,[],[f1223])).
1.00/0.63	tff(f1223,plain,(
1.00/0.63	  ~$less($sum(-1,$abs(a)),0) | ~$less($sum(-1,1),1) | (spl1_1 | ~spl1_10)),
1.00/0.63	  inference(resolution,[],[f1139,f82])).
1.00/0.63	tff(f82,plain,(
1.00/0.63	  ( ! [X0 : $int] : (~$less(-1,X0) | ~$less(X0,0)) )),
1.00/0.63	  inference(evaluation,[],[f81])).
1.00/0.63	tff(f81,plain,(
1.00/0.63	  ( ! [X0 : $int] : (~$less(X0,0) | ~$less($uminus(1),X0)) )),
1.00/0.63	  inference(superposition,[],[f25,f43])).
1.00/0.63	tff(f43,plain,(
1.00/0.63	  ( ! [X0 : $int] : (0 = $sum($uminus(X0),X0)) )),
1.00/0.63	  inference(superposition,[],[f7,f13])).
1.00/0.63	tff(f13,plain,(
1.00/0.63	  ( ! [X0 : $int] : ($uminus($uminus(X0)) = X0) )),
1.00/0.63	  introduced(theory_axiom_156,[])).
1.00/0.63	tff(f25,plain,(
1.00/0.63	  ( ! [X0 : $int,X1 : $int] : (~$less(X1,$sum(X0,1)) | ~$less(X0,X1)) )),
1.00/0.63	  introduced(theory_axiom_169,[])).
1.00/0.63	tff(f1139,plain,(
1.00/0.63	  ( ! [X0 : $int] : ($less(X0,$sum(-1,$abs(a))) | ~$less($sum(X0,1),1)) ) | (spl1_1 | ~spl1_10)),
1.00/0.63	  inference(resolution,[],[f1121,f12])).
1.00/0.63	tff(f1564,plain,(
1.00/0.63	  spl1_15 | ~spl1_17),
1.00/0.63	  inference(avatar_split_clause,[],[f1559,f938,f926])).
1.00/0.63	tff(f926,plain,(
1.00/0.63	  spl1_15 <=> $less($sum(-1,a),1)),
1.00/0.63	  introduced(avatar_definition,[new_symbols(naming,[spl1_15])])).
1.00/0.63	tff(f938,plain,(
1.00/0.63	  spl1_17 <=> $less(a,1)),
1.00/0.63	  introduced(avatar_definition,[new_symbols(naming,[spl1_17])])).
1.00/0.63	tff(f1559,plain,(
1.00/0.63	  $less($sum(-1,a),1) | ~spl1_17),
1.00/0.63	  inference(resolution,[],[f1132,f257])).
1.00/0.63	tff(f1132,plain,(
1.00/0.63	  ( ! [X0 : $int] : (~$less(X0,a) | $less(X0,1)) ) | ~spl1_17),
1.00/0.63	  inference(resolution,[],[f939,f9])).
1.00/0.63	tff(f939,plain,(
1.00/0.63	  $less(a,1) | ~spl1_17),
1.00/0.63	  inference(avatar_component_clause,[],[f938])).
1.00/0.63	tff(f1387,plain,(
1.00/0.63	  spl1_24 | ~spl1_9),
1.00/0.63	  inference(avatar_split_clause,[],[f1382,f628,f1385])).
1.00/0.63	tff(f1382,plain,(
1.00/0.63	  $less($product(a,sF0),1) | ~spl1_9),
1.00/0.63	  inference(evaluation,[],[f1378])).
1.00/0.63	tff(f1378,plain,(
1.00/0.63	  $less($product(a,sF0),1) | $less(0,0) | ~spl1_9),
1.00/0.63	  inference(resolution,[],[f1376,f112])).
1.00/0.63	tff(f112,plain,(
1.00/0.63	  ( ! [X0 : $int] : ($less(0,X0) | $less(X0,1)) )),
1.00/0.63	  inference(superposition,[],[f68,f5])).
1.00/0.63	tff(f68,plain,(
1.00/0.63	  ( ! [X0 : $int,X1 : $int] : ($less(X1,$sum(1,X0)) | $less(X0,X1)) )),
1.00/0.63	  inference(superposition,[],[f12,f3])).
1.00/0.63	tff(f1368,plain,(
1.00/0.63	  spl1_9 | ~spl1_23 | ~spl1_4),
1.00/0.63	  inference(avatar_split_clause,[],[f1247,f314,f1366,f628])).
1.00/0.63	tff(f1366,plain,(
1.00/0.63	  spl1_23 <=> $less(0,$remainder_e(0,a))),
1.00/0.63	  introduced(avatar_definition,[new_symbols(naming,[spl1_23])])).
1.00/0.63	tff(f314,plain,(
1.00/0.63	  spl1_4 <=> 0 = $sum($remainder_e(0,a),$product(a,sF0))),
1.00/0.63	  introduced(avatar_definition,[new_symbols(naming,[spl1_4])])).
1.00/0.63	tff(f1247,plain,(
1.00/0.63	  ~$less(0,$remainder_e(0,a)) | $less($product(a,sF0),0) | ~spl1_4),
1.00/0.63	  inference(superposition,[],[f692,f5])).
1.00/0.63	tff(f692,plain,(
1.00/0.63	  ( ! [X0 : $int] : ($less($sum($product(a,sF0),X0),0) | ~$less(X0,$remainder_e(0,a))) ) | ~spl1_4),
1.00/0.63	  inference(superposition,[],[f165,f315])).
1.00/0.63	tff(f315,plain,(
1.00/0.63	  0 = $sum($remainder_e(0,a),$product(a,sF0)) | ~spl1_4),
1.00/0.63	  inference(avatar_component_clause,[],[f314])).
1.00/0.63	tff(f165,plain,(
1.00/0.63	  ( ! [X2 : $int,X0 : $int,X1 : $int] : ($less($sum(X1,X0),$sum(X2,X1)) | ~$less(X0,X2)) )),
1.00/0.63	  inference(superposition,[],[f11,f3])).
1.00/0.63	tff(f1362,plain,(
1.00/0.63	  spl1_22 | ~spl1_16),
1.00/0.63	  inference(avatar_split_clause,[],[f1354,f933,f1360])).
1.00/0.63	tff(f1360,plain,(
1.00/0.63	  spl1_22 <=> $less($sum(-1,a),0)),
1.00/0.63	  introduced(avatar_definition,[new_symbols(naming,[spl1_22])])).
1.00/0.63	tff(f1354,plain,(
1.00/0.63	  $less($sum(-1,a),0) | ~spl1_16),
1.00/0.63	  inference(resolution,[],[f936,f257])).
1.00/0.63	tff(f936,plain,(
1.00/0.63	  ( ! [X0 : $int] : (~$less(X0,a) | $less(X0,0)) ) | ~spl1_16),
1.00/0.63	  inference(resolution,[],[f934,f9])).
1.00/0.63	tff(f1347,plain,(
1.00/0.63	  spl1_21 | spl1_19),
1.00/0.63	  inference(avatar_split_clause,[],[f1337,f1211,f1345])).
1.00/0.63	tff(f1345,plain,(
1.00/0.63	  spl1_21 <=> $less($uminus($abs(a)),0)),
1.00/0.63	  introduced(avatar_definition,[new_symbols(naming,[spl1_21])])).
1.00/0.63	tff(f1211,plain,(
1.00/0.63	  spl1_19 <=> $less(-1,$uminus($abs(a)))),
1.00/0.63	  introduced(avatar_definition,[new_symbols(naming,[spl1_19])])).
1.00/0.63	tff(f1337,plain,(
1.00/0.63	  $less($uminus($abs(a)),0) | spl1_19),
1.00/0.63	  inference(resolution,[],[f1212,f71])).
1.00/0.63	tff(f71,plain,(
1.00/0.63	  ( ! [X0 : $int] : ($less(-1,X0) | $less(X0,0)) )),
1.00/0.63	  inference(evaluation,[],[f70])).
1.00/0.63	tff(f70,plain,(
1.00/0.63	  ( ! [X0 : $int] : ($less(X0,0) | $less($uminus(1),X0)) )),
1.00/0.63	  inference(superposition,[],[f12,f43])).
1.00/0.63	tff(f1212,plain,(
1.00/0.63	  ~$less(-1,$uminus($abs(a))) | spl1_19),
1.00/0.63	  inference(avatar_component_clause,[],[f1211])).
1.00/0.63	tff(f1217,plain,(
1.00/0.63	  spl1_20 | ~spl1_10),
1.00/0.63	  inference(avatar_split_clause,[],[f1200,f633,f1215])).
1.00/0.63	tff(f1215,plain,(
1.00/0.63	  spl1_20 <=> $less(-1,$remainder_e(0,a))),
1.00/0.63	  introduced(avatar_definition,[new_symbols(naming,[spl1_20])])).
1.00/0.63	tff(f1200,plain,(
1.00/0.63	  $less(-1,$remainder_e(0,a)) | ~spl1_10),
1.00/0.63	  inference(resolution,[],[f1124,f257])).
1.00/0.63	tff(f1124,plain,(
1.00/0.63	  ( ! [X0 : $int] : (~$less($sum(X0,1),1) | $less(X0,$remainder_e(0,a))) ) | ~spl1_10),
1.00/0.63	  inference(resolution,[],[f1114,f12])).
1.00/0.63	tff(f1213,plain,(
1.00/0.63	  ~spl1_19 | spl1_1 | ~spl1_10),
1.00/0.63	  inference(avatar_split_clause,[],[f1199,f633,f32,f1211])).
1.00/0.63	tff(f1199,plain,(
1.00/0.63	  ~$less(-1,$uminus($abs(a))) | (spl1_1 | ~spl1_10)),
1.00/0.63	  inference(evaluation,[],[f1197])).
1.00/0.63	tff(f1197,plain,(
1.00/0.63	  ~$less(0,1) | ~$less(-1,$uminus($abs(a))) | (spl1_1 | ~spl1_10)),
1.00/0.63	  inference(superposition,[],[f1135,f43])).
1.00/0.63	tff(f1151,plain,(
1.00/0.63	  ~spl1_18 | spl1_1 | ~spl1_10),
1.00/0.63	  inference(avatar_split_clause,[],[f1133,f633,f32,f1149])).
1.00/0.63	tff(f1133,plain,(
1.00/0.63	  ~$less($abs(a),1) | (spl1_1 | ~spl1_10)),
1.00/0.63	  inference(resolution,[],[f1121,f257])).
1.00/0.63	tff(f940,plain,(
1.00/0.63	  spl1_17 | spl1_14),
1.00/0.63	  inference(avatar_split_clause,[],[f929,f923,f938])).
1.00/0.63	tff(f923,plain,(
1.00/0.63	  spl1_14 <=> $less(0,a)),
1.00/0.63	  introduced(avatar_definition,[new_symbols(naming,[spl1_14])])).
1.00/0.63	tff(f929,plain,(
1.00/0.63	  $less(a,1) | spl1_14),
1.00/0.63	  inference(resolution,[],[f924,f112])).
1.00/0.63	tff(f924,plain,(
1.00/0.63	  ~$less(0,a) | spl1_14),
1.00/0.63	  inference(avatar_component_clause,[],[f923])).
1.00/0.63	tff(f935,plain,(
1.00/0.63	  spl1_16 | spl1_1 | spl1_14),
1.00/0.63	  inference(avatar_split_clause,[],[f931,f923,f32,f933])).
1.00/0.63	tff(f931,plain,(
1.00/0.63	  $less(a,0) | (spl1_1 | spl1_14)),
1.00/0.63	  inference(subsumption_resolution,[],[f930,f33])).
1.00/0.63	tff(f930,plain,(
1.00/0.63	  0 = a | $less(a,0) | spl1_14),
1.00/0.63	  inference(resolution,[],[f924,f10])).
1.00/0.63	tff(f928,plain,(
1.00/0.63	  ~spl1_14 | ~spl1_15 | spl1_13),
1.00/0.63	  inference(avatar_split_clause,[],[f850,f834,f926,f923])).
1.00/0.63	tff(f850,plain,(
1.00/0.63	  ~$less(0,a) | ~$less($sum(-1,a),1) | spl1_13),
1.00/0.63	  inference(superposition,[],[f835,f20])).
1.00/0.63	tff(f20,plain,(
1.00/0.63	  ( ! [X1 : $int] : ($abs(X1) = X1 | ~$less(0,X1)) )),
1.00/0.63	  introduced(theory_axiom_165,[])).
1.00/0.63	tff(f836,plain,(
1.00/0.63	  ~spl1_13 | spl1_1 | ~spl1_10),
1.00/0.63	  inference(avatar_split_clause,[],[f649,f633,f32,f834])).
1.00/0.63	tff(f649,plain,(
1.00/0.63	  ~$less($sum(-1,$abs(a)),1) | (spl1_1 | ~spl1_10)),
1.00/0.63	  inference(forward_demodulation,[],[f648,f3])).
1.00/0.63	tff(f648,plain,(
1.00/0.63	  ~$less($sum($abs(a),-1),1) | (spl1_1 | ~spl1_10)),
1.00/0.63	  inference(subsumption_resolution,[],[f647,f33])).
1.00/0.63	tff(f647,plain,(
1.00/0.63	  0 = a | ~$less($sum($abs(a),-1),1) | ~spl1_10),
1.00/0.63	  inference(evaluation,[],[f643])).
1.00/0.63	tff(f643,plain,(
1.00/0.63	  ~$less($sum($abs(a),$uminus(1)),1) | 0 = a | ~spl1_10),
1.00/0.63	  inference(resolution,[],[f639,f24])).
1.00/0.63	tff(f653,plain,(
1.00/0.63	  ~spl1_12 | ~spl1_10),
1.00/0.63	  inference(avatar_split_clause,[],[f646,f633,f651])).
1.00/0.63	tff(f651,plain,(
1.00/0.63	  spl1_12 <=> $less($remainder_e(0,a),0)),
1.00/0.63	  introduced(avatar_definition,[new_symbols(naming,[spl1_12])])).
1.00/0.63	tff(f646,plain,(
1.00/0.63	  ~$less($remainder_e(0,a),0) | ~spl1_10),
1.00/0.63	  inference(evaluation,[],[f644])).
1.00/0.63	tff(f644,plain,(
1.00/0.63	  ~$less($remainder_e(0,a),0) | ~$less(-1,1) | ~spl1_10),
1.00/0.63	  inference(resolution,[],[f639,f82])).
1.00/0.63	tff(f638,plain,(
1.00/0.63	  spl1_10 | spl1_11 | spl1_8),
1.00/0.63	  inference(avatar_split_clause,[],[f631,f625,f636,f633])).
1.00/0.63	tff(f636,plain,(
1.00/0.63	  spl1_11 <=> 1 = $remainder_e(0,a)),
1.00/0.63	  introduced(avatar_definition,[new_symbols(naming,[spl1_11])])).
1.00/0.63	tff(f625,plain,(
1.00/0.63	  spl1_8 <=> $less($remainder_e(0,a),1)),
1.00/0.63	  introduced(avatar_definition,[new_symbols(naming,[spl1_8])])).
1.00/0.63	tff(f631,plain,(
1.00/0.63	  1 = $remainder_e(0,a) | $less(1,$remainder_e(0,a)) | spl1_8),
1.00/0.63	  inference(resolution,[],[f626,f10])).
1.00/0.63	tff(f626,plain,(
1.00/0.63	  ~$less($remainder_e(0,a),1) | spl1_8),
1.00/0.63	  inference(avatar_component_clause,[],[f625])).
1.00/0.63	tff(f630,plain,(
1.00/0.63	  ~spl1_8 | ~spl1_9 | ~spl1_4),
1.00/0.63	  inference(avatar_split_clause,[],[f567,f314,f628,f625])).
1.00/0.63	tff(f567,plain,(
1.00/0.63	  ~$less($product(a,sF0),0) | ~$less($remainder_e(0,a),1) | ~spl1_4),
1.00/0.63	  inference(resolution,[],[f321,f79])).
1.00/0.63	tff(f79,plain,(
1.00/0.63	  ( ! [X0 : $int,X1 : $int] : (~$less(X1,$sum(1,X0)) | ~$less(X0,X1)) )),
1.00/0.63	  inference(superposition,[],[f25,f3])).
1.00/0.63	tff(f321,plain,(
1.00/0.63	  ( ! [X0 : $int] : ($less(0,$sum(X0,$product(a,sF0))) | ~$less($remainder_e(0,a),X0)) ) | ~spl1_4),
1.00/0.63	  inference(superposition,[],[f11,f315])).
1.00/0.63	tff(f378,plain,(
1.00/0.63	  spl1_7 | ~spl1_6),
1.00/0.63	  inference(avatar_split_clause,[],[f360,f353,f376])).
1.00/0.63	tff(f376,plain,(
1.00/0.63	  spl1_7 <=> $product(a,sF0) = $uminus($remainder_e(0,a))),
1.00/0.63	  introduced(avatar_definition,[new_symbols(naming,[spl1_7])])).
1.00/0.63	tff(f353,plain,(
1.00/0.63	  spl1_6 <=> $remainder_e(0,a) = $uminus($product(a,sF0))),
1.00/0.63	  introduced(avatar_definition,[new_symbols(naming,[spl1_6])])).
1.00/0.63	tff(f360,plain,(
1.00/0.63	  $product(a,sF0) = $uminus($remainder_e(0,a)) | ~spl1_6),
1.00/0.63	  inference(superposition,[],[f13,f354])).
1.00/0.63	tff(f354,plain,(
1.00/0.63	  $remainder_e(0,a) = $uminus($product(a,sF0)) | ~spl1_6),
1.00/0.63	  inference(avatar_component_clause,[],[f353])).
1.00/0.63	tff(f355,plain,(
1.00/0.63	  spl1_6 | ~spl1_4),
1.00/0.63	  inference(avatar_split_clause,[],[f350,f314,f353])).
1.00/0.63	tff(f350,plain,(
1.00/0.63	  $remainder_e(0,a) = $uminus($product(a,sF0)) | ~spl1_4),
1.00/0.63	  inference(evaluation,[],[f346])).
1.00/0.63	tff(f346,plain,(
1.00/0.63	  $sum($remainder_e(0,a),0) = $uminus($product(a,sF0)) | ~spl1_4),
1.00/0.63	  inference(superposition,[],[f324,f7])).
1.00/0.63	tff(f324,plain,(
1.00/0.63	  ( ! [X0 : $int] : ($sum($remainder_e(0,a),$sum($product(a,sF0),X0)) = X0) ) | ~spl1_4),
1.00/0.63	  inference(evaluation,[],[f319])).
1.00/0.63	tff(f319,plain,(
1.00/0.63	  ( ! [X0 : $int] : ($sum(0,X0) = $sum($remainder_e(0,a),$sum($product(a,sF0),X0))) ) | ~spl1_4),
1.00/0.63	  inference(superposition,[],[f4,f315])).
1.00/0.63	tff(f328,plain,(
1.00/0.63	  spl1_5 | ~spl1_4),
1.00/0.63	  inference(avatar_split_clause,[],[f317,f314,f326])).
1.00/0.63	tff(f326,plain,(
1.00/0.63	  spl1_5 <=> 0 = $sum($product(a,sF0),$remainder_e(0,a))),
1.00/0.63	  introduced(avatar_definition,[new_symbols(naming,[spl1_5])])).
1.00/0.63	tff(f317,plain,(
1.00/0.63	  0 = $sum($product(a,sF0),$remainder_e(0,a)) | ~spl1_4),
1.00/0.63	  inference(superposition,[],[f315,f3])).
1.00/0.63	tff(f316,plain,(
1.00/0.63	  spl1_4 | spl1_1 | ~spl1_3),
1.00/0.63	  inference(avatar_split_clause,[],[f312,f40,f32,f314])).
1.00/0.63	tff(f40,plain,(
1.00/0.63	  spl1_3 <=> $quotient_e(0,a) = sF0),
1.00/0.63	  introduced(avatar_definition,[new_symbols(naming,[spl1_3])])).
1.00/0.63	tff(f312,plain,(
1.00/0.63	  0 = $sum($remainder_e(0,a),$product(a,sF0)) | (spl1_1 | ~spl1_3)),
1.00/0.63	  inference(subsumption_resolution,[],[f307,f33])).
1.00/0.63	tff(f307,plain,(
1.00/0.63	  0 = a | 0 = $sum($remainder_e(0,a),$product(a,sF0)) | ~spl1_3),
1.00/0.63	  inference(superposition,[],[f22,f41])).
1.00/0.63	tff(f41,plain,(
1.00/0.63	  $quotient_e(0,a) = sF0 | ~spl1_3),
1.00/0.63	  inference(avatar_component_clause,[],[f40])).
1.00/0.63	tff(f22,plain,(
1.00/0.63	  ( ! [X2 : $int,X1 : $int] : ($sum($remainder_e(X1,X2),$product(X2,$quotient_e(X1,X2))) = X1 | 0 = X2) )),
1.00/0.63	  introduced(theory_axiom_160,[])).
1.00/0.63	tff(f42,plain,(
1.00/0.63	  spl1_3),
1.00/0.63	  inference(avatar_split_clause,[],[f29,f40])).
1.00/0.63	tff(f29,plain,(
1.00/0.63	  $quotient_e(0,a) = sF0),
1.00/0.63	  introduced(function_definition,[new_symbols(definition,[sF0])])).
1.00/0.63	tff(f38,plain,(
1.00/0.63	  ~spl1_2),
1.00/0.63	  inference(avatar_split_clause,[],[f30,f36])).
1.00/0.63	tff(f36,plain,(
1.00/0.63	  spl1_2 <=> 0 = sF0),
1.00/0.63	  introduced(avatar_definition,[new_symbols(naming,[spl1_2])])).
1.00/0.63	tff(f30,plain,(
1.00/0.63	  0 != sF0),
1.00/0.63	  inference(definition_folding,[],[f27,f29])).
1.00/0.63	tff(f27,plain,(
1.00/0.63	  0 != $quotient_e(0,a)),
1.00/0.63	  inference(cnf_transformation,[],[f26])).
1.00/0.63	tff(f26,plain,(
1.00/0.63	  0 != a & 0 != $quotient_e(0,a)),
1.00/0.63	  inference(ennf_transformation,[],[f2])).
1.00/0.63	tff(f2,negated_conjecture,(
1.00/0.63	  ~(0 != a => 0 = $quotient_e(0,a))),
1.00/0.63	  inference(negated_conjecture,[],[f1])).
1.00/0.63	tff(f1,conjecture,(
1.00/0.63	  0 != a => 0 = $quotient_e(0,a)),
1.00/0.63	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)).
1.00/0.63	tff(f34,plain,(
1.00/0.63	  ~spl1_1),
1.00/0.63	  inference(avatar_split_clause,[],[f28,f32])).
1.00/0.63	tff(f28,plain,(
1.00/0.63	  0 != a),
1.00/0.63	  inference(cnf_transformation,[],[f26])).
1.00/0.63	% SZS output end Proof for theBenchmark
1.00/0.63	% (4853)------------------------------
1.00/0.63	% (4853)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
1.00/0.63	% (4853)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
1.00/0.63	% (4853)Termination reason: Refutation
1.00/0.63	
1.00/0.63	% (4853)Memory used [KB]: 1609
1.00/0.63	% (4853)Time elapsed: 0.247 s
1.00/0.63	% (4853)Instructions burned: 258 (million)
1.00/0.63	% (4853)------------------------------
1.00/0.63	% (4853)------------------------------
1.00/0.63	% (4852)Success in time 0.306 s
1.00/0.63	EOF