0.12/0.12	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.12/0.12	% Command    : run_vampire %s %d THM
0.12/0.33	% Computer : n005.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   : 960
0.12/0.33	% WCLimit    : 120
0.12/0.33	% DateTime   : Wed Jul 30 05:57:34 EDT 2025
0.18/0.34	% CPUTime    : 
0.18/0.36	This is a TFF_ problem
0.18/0.36	Running first-order theorem proving
0.18/0.36	Running /export/starexec/sandbox/solver/bin/vampire --mode casc -m 16384 --cores 7 -t 120 /export/starexec/sandbox/benchmark/theBenchmark.p
0.22/0.42	% (8992)Running in auto input_syntax mode. Trying TPTP
0.22/0.42	% (8997)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)
0.22/0.42	% (8992)Running in auto input_syntax mode. Trying TPTP
0.22/0.42	% (8993)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)
0.22/0.42	% (8992)Running in auto input_syntax mode. Trying TPTP
0.22/0.42	% (8995)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)
0.22/0.42	% (8992)Running in auto input_syntax mode. Trying TPTP
0.22/0.42	% (8994)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)
0.22/0.42	% (8992)Running in auto input_syntax mode. Trying TPTP
0.22/0.42	% (8996)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)
0.22/0.42	% (8992)Running in auto input_syntax mode. Trying TPTP
0.22/0.42	% (8998)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)
0.22/0.42	% (8992)Running in auto input_syntax mode. Trying TPTP
0.22/0.42	% (8999)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)
0.22/0.43	% (8996)Instruction limit reached!
0.22/0.43	% (8996)------------------------------
0.22/0.43	% (8996)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
0.22/0.43	% (8996)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
0.22/0.43	% (8996)Termination reason: Time limit
0.22/0.43	% (8996)Termination phase: Saturation
0.22/0.43	
0.22/0.43	% (8996)Memory used [KB]: 786
0.22/0.43	% (8996)Time elapsed: 0.003 s
0.22/0.43	% (8996)Instructions burned: 2 (million)
0.22/0.43	% (8995)Instruction limit reached!
0.22/0.43	% (8995)------------------------------
0.22/0.43	% (8995)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
0.22/0.43	% (8995)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
0.22/0.43	% (8995)Termination reason: Time limit
0.22/0.43	% (8995)Termination phase: Saturation
0.22/0.43	
0.22/0.43	% (8995)Memory used [KB]: 886
0.22/0.43	% (8995)Time elapsed: 0.009 s
0.22/0.43	% (8995)Instructions burned: 8 (million)
0.22/0.44	% (8998)Instruction limit reached!
0.22/0.44	% (8998)------------------------------
0.22/0.44	% (8998)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
0.22/0.44	% (8998)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
0.22/0.44	% (8998)Termination reason: Time limit
0.22/0.44	% (8998)Termination phase: Saturation
0.22/0.44	
0.22/0.44	% (8998)Memory used [KB]: 908
0.22/0.44	% (8998)Time elapsed: 0.013 s
0.22/0.44	% (8998)Instructions burned: 15 (million)
0.22/0.45	% (8999)Instruction limit reached!
0.22/0.45	% (8999)------------------------------
0.22/0.45	% (8999)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
0.22/0.45	% (8999)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
0.22/0.45	% (8999)Termination reason: Time limit
0.22/0.45	% (8999)Termination phase: Saturation
0.22/0.45	
0.22/0.45	% (8999)Memory used [KB]: 1017
0.22/0.45	% (8999)Time elapsed: 0.026 s
0.22/0.45	% (8999)Instructions burned: 32 (million)
0.22/0.45	% (8994)Instruction limit reached!
0.22/0.45	% (8994)------------------------------
0.22/0.45	% (8994)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
0.22/0.45	% (8994)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
0.22/0.45	% (8994)Termination reason: Time limit
0.22/0.45	% (8994)Termination phase: Saturation
0.22/0.45	
0.22/0.45	% (8994)Memory used [KB]: 988
0.22/0.45	% (8994)Time elapsed: 0.028 s
0.22/0.45	% (8994)Instructions burned: 34 (million)
0.22/0.46	% (8997)Instruction limit reached!
0.22/0.46	% (8997)------------------------------
0.22/0.46	% (8997)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
0.22/0.46	% (8997)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
0.22/0.46	% (8997)Termination reason: Time limit
0.22/0.46	% (8997)Termination phase: Saturation
0.22/0.46	
0.22/0.46	% (8997)Memory used [KB]: 1202
0.22/0.46	% (8997)Time elapsed: 0.036 s
0.22/0.46	% (8997)Instructions burned: 37 (million)
0.22/0.50	% (8992)Running in auto input_syntax mode. Trying TPTP
0.22/0.50	% (9010)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 (1199ds/36Mi)
0.22/0.51	% (8992)Running in auto input_syntax mode. Trying TPTP
0.22/0.51	% (9013)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 (1199ds/26Mi)
0.22/0.51	% (8992)Running in auto input_syntax mode. Trying TPTP
0.22/0.51	% (9016)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 (1199ds/2Mi)
0.22/0.51	% (9016)Instruction limit reached!
0.22/0.51	% (9016)------------------------------
0.22/0.51	% (9016)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
0.22/0.51	% (9016)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
0.22/0.51	% (9016)Termination reason: Time limit
0.22/0.51	% (9016)Termination phase: Property scanning
0.22/0.51	
0.22/0.51	% (9016)Memory used [KB]: 748
0.22/0.51	% (9016)Time elapsed: 0.002 s
0.22/0.51	% (9016)Instructions burned: 2 (million)
0.22/0.51	% (8992)Running in auto input_syntax mode. Trying TPTP
0.22/0.51	% (9025)lrs+10_1:1_canc=force:tha=some:to=lpo:i=35:si=on:rawr=on:rtra=on_0 on theBenchmark for (1199ds/35Mi)
0.22/0.52	% (9013)Instruction limit reached!
0.22/0.52	% (9013)------------------------------
0.22/0.52	% (9013)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
0.22/0.52	% (9013)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
0.22/0.52	% (9013)Termination reason: Time limit
0.22/0.52	% (9013)Termination phase: Saturation
0.22/0.52	
0.22/0.52	% (9013)Memory used [KB]: 941
0.22/0.52	% (9013)Time elapsed: 0.017 s
0.22/0.52	% (9013)Instructions burned: 26 (million)
0.22/0.52	% (9010)Instruction limit reached!
0.22/0.52	% (9010)------------------------------
0.22/0.52	% (9010)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
0.22/0.52	% (9010)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
0.22/0.52	% (9010)Termination reason: Time limit
0.22/0.52	% (9010)Termination phase: Saturation
0.22/0.52	
0.22/0.52	% (9010)Memory used [KB]: 952
0.22/0.52	% (9010)Time elapsed: 0.023 s
0.22/0.52	% (9010)Instructions burned: 36 (million)
0.22/0.53	% (8993)First to succeed.
0.22/0.53	% (8993)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-8992"
0.22/0.53	% (8992)Running in auto input_syntax mode. Trying TPTP
0.22/0.53	% (8993)Refutation found. Thanks to Tanya!
0.22/0.53	% SZS status Theorem for theBenchmark
0.22/0.53	% SZS output start Proof for theBenchmark
0.22/0.53	tff(func_def_11, type, sK0: $real).
0.22/0.53	tff(func_def_12, type, sF1: $int).
0.22/0.53	tff(func_def_13, type, sF2: $real).
0.22/0.53	tff(func_def_14, type, sF3: $int).
0.22/0.53	tff(func_def_15, type, sF4: $real).
0.22/0.53	tff(f346,plain,(
0.22/0.53	  $false),
0.22/0.53	  inference(avatar_smt_refutation,[],[f40,f44,f48,f52,f56,f61,f66,f73,f103,f187,f269,f314,f322,f328,f334,f343,f345])).
0.22/0.53	tff(f345,plain,(
0.22/0.53	  ~spl5_4 | ~spl5_5 | ~spl5_6 | ~spl5_13 | ~spl5_15),
0.22/0.53	  inference(avatar_contradiction_clause,[],[f344])).
0.22/0.53	tff(f344,plain,(
0.22/0.53	  $false | (~spl5_4 | ~spl5_5 | ~spl5_6 | ~spl5_13 | ~spl5_15)),
0.22/0.53	  inference(evaluation,[],[f339])).
0.22/0.53	tff(f339,plain,(
0.22/0.53	  $less(-1,-1) | (~spl5_4 | ~spl5_5 | ~spl5_6 | ~spl5_13 | ~spl5_15)),
0.22/0.53	  inference(backward_demodulation,[],[f313,f335])).
0.22/0.53	tff(f335,plain,(
0.22/0.53	  sF3 = -1 | (~spl5_4 | ~spl5_5 | ~spl5_6 | ~spl5_13)),
0.22/0.53	  inference(evaluation,[],[f330])).
0.22/0.53	tff(f330,plain,(
0.22/0.53	  sF3 = $to_int(-1.0) | (~spl5_4 | ~spl5_5 | ~spl5_6 | ~spl5_13)),
0.22/0.53	  inference(backward_demodulation,[],[f55,f324])).
0.22/0.53	tff(f324,plain,(
0.22/0.53	  sF2 = -1.0 | (~spl5_4 | ~spl5_6 | ~spl5_13)),
0.22/0.53	  inference(evaluation,[],[f317])).
0.22/0.53	tff(f317,plain,(
0.22/0.53	  sF2 = $ceiling(-1.0) | (~spl5_4 | ~spl5_6 | ~spl5_13)),
0.22/0.53	  inference(backward_demodulation,[],[f51,f307])).
0.22/0.53	tff(f307,plain,(
0.22/0.53	  sK0 = -1.0 | (~spl5_6 | ~spl5_13)),
0.22/0.53	  inference(evaluation,[],[f301])).
0.22/0.53	tff(f301,plain,(
0.22/0.53	  sK0 = $to_real(-1) | (~spl5_6 | ~spl5_13)),
0.22/0.53	  inference(backward_demodulation,[],[f60,f265])).
0.22/0.53	tff(f265,plain,(
0.22/0.53	  sF1 = -1 | ~spl5_13),
0.22/0.53	  inference(avatar_component_clause,[],[f264])).
0.22/0.53	tff(f264,plain,(
0.22/0.53	  spl5_13 <=> sF1 = -1),
0.22/0.53	  introduced(avatar_definition,[new_symbols(naming,[spl5_13])])).
0.22/0.53	tff(f60,plain,(
0.22/0.53	  sK0 = $to_real(sF1) | ~spl5_6),
0.22/0.53	  inference(avatar_component_clause,[],[f59])).
0.22/0.53	tff(f59,plain,(
0.22/0.53	  spl5_6 <=> sK0 = $to_real(sF1)),
0.22/0.53	  introduced(avatar_definition,[new_symbols(naming,[spl5_6])])).
0.22/0.53	tff(f51,plain,(
0.22/0.53	  $ceiling(sK0) = sF2 | ~spl5_4),
0.22/0.53	  inference(avatar_component_clause,[],[f50])).
0.22/0.53	tff(f50,plain,(
0.22/0.53	  spl5_4 <=> $ceiling(sK0) = sF2),
0.22/0.53	  introduced(avatar_definition,[new_symbols(naming,[spl5_4])])).
0.22/0.53	tff(f55,plain,(
0.22/0.53	  $to_int(sF2) = sF3 | ~spl5_5),
0.22/0.53	  inference(avatar_component_clause,[],[f54])).
0.22/0.53	tff(f54,plain,(
0.22/0.53	  spl5_5 <=> $to_int(sF2) = sF3),
0.22/0.53	  introduced(avatar_definition,[new_symbols(naming,[spl5_5])])).
0.22/0.53	tff(f313,plain,(
0.22/0.53	  $less(-1,sF3) | ~spl5_15),
0.22/0.53	  inference(avatar_component_clause,[],[f312])).
0.22/0.53	tff(f312,plain,(
0.22/0.53	  spl5_15 <=> $less(-1,sF3)),
0.22/0.53	  introduced(avatar_definition,[new_symbols(naming,[spl5_15])])).
0.22/0.53	tff(f343,plain,(
0.22/0.53	  spl5_19 | ~spl5_4 | ~spl5_5 | ~spl5_6 | ~spl5_13),
0.22/0.53	  inference(avatar_split_clause,[],[f335,f264,f59,f54,f50,f341])).
0.22/0.53	tff(f341,plain,(
0.22/0.53	  spl5_19 <=> sF3 = -1),
0.22/0.53	  introduced(avatar_definition,[new_symbols(naming,[spl5_19])])).
0.22/0.53	tff(f334,plain,(
0.22/0.53	  spl5_18 | ~spl5_4 | ~spl5_6 | ~spl5_13),
0.22/0.53	  inference(avatar_split_clause,[],[f324,f264,f59,f50,f332])).
0.22/0.53	tff(f332,plain,(
0.22/0.53	  spl5_18 <=> sF2 = -1.0),
0.22/0.53	  introduced(avatar_definition,[new_symbols(naming,[spl5_18])])).
0.22/0.53	tff(f328,plain,(
0.22/0.53	  spl5_17 | ~spl5_2 | ~spl5_6 | ~spl5_13),
0.22/0.53	  inference(avatar_split_clause,[],[f318,f264,f59,f42,f326])).
0.22/0.53	tff(f326,plain,(
0.22/0.53	  spl5_17 <=> sF4 = -1.0),
0.22/0.53	  introduced(avatar_definition,[new_symbols(naming,[spl5_17])])).
0.22/0.53	tff(f42,plain,(
0.22/0.53	  spl5_2 <=> sK0 = sF4),
0.22/0.53	  introduced(avatar_definition,[new_symbols(naming,[spl5_2])])).
0.22/0.53	tff(f318,plain,(
0.22/0.53	  sF4 = -1.0 | (~spl5_2 | ~spl5_6 | ~spl5_13)),
0.22/0.53	  inference(backward_demodulation,[],[f43,f307])).
0.22/0.53	tff(f43,plain,(
0.22/0.53	  sK0 = sF4 | ~spl5_2),
0.22/0.53	  inference(avatar_component_clause,[],[f42])).
0.22/0.53	tff(f322,plain,(
0.22/0.53	  spl5_16 | ~spl5_6 | ~spl5_13),
0.22/0.53	  inference(avatar_split_clause,[],[f307,f264,f59,f320])).
0.22/0.53	tff(f320,plain,(
0.22/0.53	  spl5_16 <=> sK0 = -1.0),
0.22/0.53	  introduced(avatar_definition,[new_symbols(naming,[spl5_16])])).
0.22/0.53	tff(f314,plain,(
0.22/0.53	  spl5_15 | ~spl5_1 | ~spl5_13),
0.22/0.53	  inference(avatar_split_clause,[],[f299,f264,f38,f312])).
0.22/0.53	tff(f38,plain,(
0.22/0.53	  spl5_1 <=> $less(sF1,sF3)),
0.22/0.53	  introduced(avatar_definition,[new_symbols(naming,[spl5_1])])).
0.22/0.53	tff(f299,plain,(
0.22/0.53	  $less(-1,sF3) | (~spl5_1 | ~spl5_13)),
0.22/0.53	  inference(backward_demodulation,[],[f39,f265])).
0.22/0.53	tff(f39,plain,(
0.22/0.53	  $less(sF1,sF3) | ~spl5_1),
0.22/0.53	  inference(avatar_component_clause,[],[f38])).
0.22/0.53	tff(f269,plain,(
0.22/0.53	  spl5_13 | spl5_14 | spl5_10),
0.22/0.53	  inference(avatar_split_clause,[],[f262,f179,f267,f264])).
0.22/0.53	tff(f267,plain,(
0.22/0.53	  spl5_14 <=> $less(sF1,-1)),
0.22/0.53	  introduced(avatar_definition,[new_symbols(naming,[spl5_14])])).
0.22/0.53	tff(f179,plain,(
0.22/0.53	  spl5_10 <=> $less(-1,sF1)),
0.22/0.53	  introduced(avatar_definition,[new_symbols(naming,[spl5_10])])).
0.22/0.53	tff(f262,plain,(
0.22/0.53	  sF1 = -1 | $less(sF1,-1) | spl5_10),
0.22/0.53	  inference(resolution,[],[f180,f10])).
0.22/0.53	tff(f10,plain,(
0.22/0.53	  ( ! [X0 : $int,X1 : $int] : ($less(X1,X0) | $less(X0,X1) | X0 = X1) )),
0.22/0.53	  introduced(theory_axiom_152,[])).
0.22/0.53	tff(f180,plain,(
0.22/0.53	  ~$less(-1,sF1) | spl5_10),
0.22/0.53	  inference(avatar_component_clause,[],[f179])).
0.22/0.53	tff(f187,plain,(
0.22/0.53	  ~spl5_10 | spl5_11 | spl5_12 | ~spl5_1),
0.22/0.53	  inference(avatar_split_clause,[],[f161,f38,f185,f182,f179])).
0.22/0.53	tff(f182,plain,(
0.22/0.53	  spl5_11 <=> 0 = sF1),
0.22/0.53	  introduced(avatar_definition,[new_symbols(naming,[spl5_11])])).
0.22/0.53	tff(f185,plain,(
0.22/0.53	  spl5_12 <=> $less(0,sF3)),
0.22/0.53	  introduced(avatar_definition,[new_symbols(naming,[spl5_12])])).
0.22/0.53	tff(f161,plain,(
0.22/0.53	  $less(0,sF3) | 0 = sF1 | ~$less(-1,sF1) | ~spl5_1),
0.22/0.53	  inference(evaluation,[],[f160])).
0.22/0.53	tff(f160,plain,(
0.22/0.53	  $less(0,sF3) | 0 = sF1 | ~$less($uminus(1),sF1) | ~spl5_1),
0.22/0.53	  inference(superposition,[],[f142,f67])).
0.22/0.53	tff(f67,plain,(
0.22/0.53	  ( ! [X0 : $int] : (0 = $sum($uminus(X0),X0)) )),
0.22/0.53	  inference(superposition,[],[f7,f13])).
0.22/0.53	tff(f13,plain,(
0.22/0.53	  ( ! [X0 : $int] : ($uminus($uminus(X0)) = X0) )),
0.22/0.53	  introduced(theory_axiom_156,[])).
0.22/0.53	tff(f7,plain,(
0.22/0.53	  ( ! [X0 : $int] : (0 = $sum(X0,$uminus(X0))) )),
0.22/0.53	  introduced(theory_axiom_148,[])).
0.22/0.53	tff(f142,plain,(
0.22/0.53	  ( ! [X0 : $int] : ($less($sum(X0,1),sF3) | ~$less(X0,sF1) | $sum(X0,1) = sF1) ) | ~spl5_1),
0.22/0.53	  inference(resolution,[],[f139,f14])).
0.22/0.53	tff(f14,plain,(
0.22/0.53	  ( ! [X0 : $int,X1 : $int] : (~$less(X1,$sum(X0,1)) | ~$less(X0,X1)) )),
0.22/0.53	  introduced(theory_axiom_169,[])).
0.22/0.53	tff(f139,plain,(
0.22/0.53	  ( ! [X0 : $int] : ($less(sF1,X0) | $less(X0,sF3) | sF1 = X0) ) | ~spl5_1),
0.22/0.53	  inference(resolution,[],[f132,f10])).
0.22/0.53	tff(f132,plain,(
0.22/0.53	  ( ! [X0 : $int] : (~$less(X0,sF1) | $less(X0,sF3)) ) | ~spl5_1),
0.22/0.53	  inference(resolution,[],[f9,f39])).
0.22/0.53	tff(f9,plain,(
0.22/0.53	  ( ! [X2 : $int,X0 : $int,X1 : $int] : (~$less(X1,X2) | $less(X0,X2) | ~$less(X0,X1)) )),
0.22/0.53	  introduced(theory_axiom_151,[])).
0.22/0.53	tff(f103,plain,(
0.22/0.53	  spl5_9 | ~spl5_8),
0.22/0.53	  inference(avatar_split_clause,[],[f89,f71,f101])).
0.22/0.53	tff(f101,plain,(
0.22/0.53	  spl5_9 <=> $less(sF2,$sum(1.0,sK0))),
0.22/0.53	  introduced(avatar_definition,[new_symbols(naming,[spl5_9])])).
0.22/0.53	tff(f71,plain,(
0.22/0.53	  spl5_8 <=> $less(sF2,$sum(sK0,1.0))),
0.22/0.53	  introduced(avatar_definition,[new_symbols(naming,[spl5_8])])).
0.22/0.53	tff(f89,plain,(
0.22/0.53	  $less(sF2,$sum(1.0,sK0)) | ~spl5_8),
0.22/0.53	  inference(backward_demodulation,[],[f72,f15])).
0.22/0.53	tff(f15,plain,(
0.22/0.53	  ( ! [X0 : $real,X1 : $real] : ($sum(X0,X1) = $sum(X1,X0)) )),
0.22/0.53	  introduced(theory_axiom_143,[])).
0.22/0.53	tff(f72,plain,(
0.22/0.53	  $less(sF2,$sum(sK0,1.0)) | ~spl5_8),
0.22/0.53	  inference(avatar_component_clause,[],[f71])).
0.22/0.53	tff(f73,plain,(
0.22/0.53	  spl5_8 | ~spl5_4),
0.22/0.53	  inference(avatar_split_clause,[],[f69,f50,f71])).
0.22/0.53	tff(f69,plain,(
0.22/0.53	  $less(sF2,$sum(sK0,1.0)) | ~spl5_4),
0.22/0.53	  inference(superposition,[],[f27,f51])).
0.22/0.53	tff(f27,plain,(
0.22/0.53	  ( ! [X0 : $real] : ($less($ceiling(X0),$sum(X0,1.0))) )),
0.22/0.53	  introduced(theory_axiom_173,[])).
0.22/0.53	tff(f66,plain,(
0.22/0.53	  ~spl5_7 | ~spl5_4),
0.22/0.53	  inference(avatar_split_clause,[],[f62,f50,f64])).
0.22/0.53	tff(f64,plain,(
0.22/0.53	  spl5_7 <=> $less(sF2,sK0)),
0.22/0.53	  introduced(avatar_definition,[new_symbols(naming,[spl5_7])])).
0.22/0.53	tff(f62,plain,(
0.22/0.53	  ~$less(sF2,sK0) | ~spl5_4),
0.22/0.53	  inference(superposition,[],[f26,f51])).
0.22/0.53	tff(f26,plain,(
0.22/0.53	  ( ! [X0 : $real] : (~$less($ceiling(X0),X0)) )),
0.22/0.53	  introduced(theory_axiom_172,[])).
0.22/0.53	tff(f61,plain,(
0.22/0.53	  spl5_6 | ~spl5_2),
0.22/0.53	  inference(avatar_split_clause,[],[f57,f42,f59])).
0.22/0.53	tff(f57,plain,(
0.22/0.53	  sK0 = $to_real(sF1) | ~spl5_2),
0.22/0.53	  inference(forward_demodulation,[],[f35,f43])).
0.22/0.53	tff(f35,plain,(
0.22/0.53	  $to_real(sF1) = sF4),
0.22/0.53	  introduced(function_definition,[new_symbols(definition,[sF4])])).
0.22/0.53	tff(f56,plain,(
0.22/0.53	  spl5_5),
0.22/0.53	  inference(avatar_split_clause,[],[f33,f54])).
0.22/0.53	tff(f33,plain,(
0.22/0.53	  $to_int(sF2) = sF3),
0.22/0.53	  introduced(function_definition,[new_symbols(definition,[sF3])])).
0.22/0.53	tff(f52,plain,(
0.22/0.53	  spl5_4),
0.22/0.53	  inference(avatar_split_clause,[],[f32,f50])).
0.22/0.53	tff(f32,plain,(
0.22/0.53	  $ceiling(sK0) = sF2),
0.22/0.53	  introduced(function_definition,[new_symbols(definition,[sF2])])).
0.22/0.53	tff(f48,plain,(
0.22/0.53	  spl5_3),
0.22/0.53	  inference(avatar_split_clause,[],[f31,f46])).
0.22/0.53	tff(f46,plain,(
0.22/0.53	  spl5_3 <=> $to_int(sK0) = sF1),
0.22/0.53	  introduced(avatar_definition,[new_symbols(naming,[spl5_3])])).
0.22/0.53	tff(f31,plain,(
0.22/0.53	  $to_int(sK0) = sF1),
0.22/0.53	  introduced(function_definition,[new_symbols(definition,[sF1])])).
0.22/0.53	tff(f44,plain,(
0.22/0.53	  spl5_2),
0.22/0.53	  inference(avatar_split_clause,[],[f36,f42])).
0.22/0.53	tff(f36,plain,(
0.22/0.53	  sK0 = sF4),
0.22/0.53	  inference(definition_folding,[],[f29,f35,f31])).
0.22/0.53	tff(f29,plain,(
0.22/0.53	  sK0 = $to_real($to_int(sK0))),
0.22/0.53	  inference(cnf_transformation,[],[f28])).
0.22/0.53	tff(f28,plain,(
0.22/0.53	  ? [X0 : $real] : ($less($to_int(X0),$to_int($ceiling(X0))) & $to_real($to_int(X0)) = X0)),
0.22/0.53	  inference(ennf_transformation,[],[f2])).
0.22/0.53	tff(f2,negated_conjecture,(
0.22/0.53	  ~! [X0 : $real] : ($less($to_int(X0),$to_int($ceiling(X0))) => $to_real($to_int(X0)) != X0)),
0.22/0.53	  inference(negated_conjecture,[],[f1])).
0.22/0.53	tff(f1,conjecture,(
0.22/0.53	  ! [X0 : $real] : ($less($to_int(X0),$to_int($ceiling(X0))) => $to_real($to_int(X0)) != X0)),
0.22/0.53	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)).
0.22/0.53	tff(f40,plain,(
0.22/0.53	  spl5_1),
0.22/0.53	  inference(avatar_split_clause,[],[f34,f38])).
0.22/0.53	tff(f34,plain,(
0.22/0.53	  $less(sF1,sF3)),
0.22/0.53	  inference(definition_folding,[],[f30,f33,f32,f31])).
0.22/0.53	tff(f30,plain,(
0.22/0.53	  $less($to_int(sK0),$to_int($ceiling(sK0)))),
0.22/0.53	  inference(cnf_transformation,[],[f28])).
0.22/0.53	% SZS output end Proof for theBenchmark
0.22/0.53	% (8993)------------------------------
0.22/0.53	% (8993)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
0.22/0.53	% (8993)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
0.22/0.53	% (8993)Termination reason: Refutation
0.22/0.53	
0.22/0.53	% (8993)Memory used [KB]: 907
0.22/0.53	% (8993)Time elapsed: 0.106 s
0.22/0.53	% (8993)Instructions burned: 152 (million)
0.22/0.53	% (8993)------------------------------
0.22/0.53	% (8993)------------------------------
0.22/0.53	% (8992)Success in time 0.156 s
0.22/0.53	EOF