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
0.12/0.34	% CPUTime    : 
0.12/0.36	This is a TFF_ problem
0.12/0.36	Running first-order theorem proving
0.12/0.36	Running /export/starexec/sandbox2/solver/bin/vampire --mode casc -m 16384 --cores 7 -t 120 /export/starexec/sandbox2/benchmark/theBenchmark.p
0.21/0.45	% (9015)Running in auto input_syntax mode. Trying TPTP
0.21/0.45	% (9022)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=833422588:i=4:rtra=on_1200 on theBenchmark for (1200ds/4Mi)
0.21/0.45	% (9015)Running in auto input_syntax mode. Trying TPTP
0.21/0.45	% (9023)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=2327267195:i=46:rtra=on_1200 on theBenchmark for (1200ds/46Mi)
0.21/0.45	% (9015)Running in auto input_syntax mode. Trying TPTP
0.21/0.45	% (9021)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=3002612743:s2a=on:i=7:rtra=on:inst=on_1200 on theBenchmark for (1200ds/7Mi)
0.21/0.46	% (9015)Running in auto input_syntax mode. Trying TPTP
0.21/0.46	% (9018)dis+1002_16:1_to=lpo:sil=64000:norm_ineq=on:sas=z3:si=on:gve=force:uwa=one_side_constant:random_seed=2242666308:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_1200 on theBenchmark for (1200ds/12Mi)
0.21/0.46	% (9015)Running in auto input_syntax mode. Trying TPTP
0.21/0.46	% (9020)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=2464495271:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_1200 on theBenchmark for (1200ds/201Mi)
0.21/0.46	% (9022)Instruction limit reached! 
0.21/0.46	% (9022)------------------------------
0.21/0.46	% (9022)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200)
0.21/0.46	% (9022)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
0.21/0.46	% (9022)Termination reason: Instruction limit
0.21/0.46	% (9022)Termination phase: Saturation
0.21/0.46	
0.21/0.46	% (9022)Time elapsed: 0.005 s
0.21/0.46	% (9022)Peak memory usage: 8 MB
0.21/0.46	% (9022)Instructions burned: 4 (million)
0.21/0.46	% (9015)Running in auto input_syntax mode. Trying TPTP
0.21/0.46	% (9024)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=4051914959:i=33:rtra=on_1200 on theBenchmark for (1200ds/33Mi)
0.21/0.46	% (9015)Running in auto input_syntax mode. Trying TPTP
0.21/0.46	% (9019)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=2456540954:i=307:kws=precedence:nm=0:rtra=on_1200 on theBenchmark for (1200ds/307Mi)
0.21/0.46	% (9021)Instruction limit reached! 
0.21/0.46	% (9021)------------------------------
0.21/0.46	% (9021)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200)
0.21/0.46	% (9021)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
0.21/0.46	% (9021)Termination reason: Instruction limit
0.21/0.46	% (9021)Termination phase: Saturation
0.21/0.46	
0.21/0.46	% (9021)Time elapsed: 0.004 s
0.21/0.46	% (9021)Peak memory usage: 8 MB
0.21/0.46	% (9021)Instructions burned: 8 (million)
0.21/0.47	% (9018)Instruction limit reached! 
0.21/0.47	% (9018)------------------------------
0.21/0.47	% (9018)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200)
0.21/0.47	% (9018)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
0.21/0.47	% (9018)Termination reason: Instruction limit
0.21/0.47	% (9018)Termination phase: Saturation
0.21/0.47	
0.21/0.47	% (9018)Time elapsed: 0.012 s
0.21/0.47	% (9018)Peak memory usage: 28 MB
0.21/0.47	% (9018)Instructions burned: 12 (million)
0.21/0.47	% (9024)First to succeed.
0.21/0.47	% (9019)Also succeeded, but the first one will report.
0.21/0.47	% (9024)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-9015"
0.21/0.47	% (9015)Running in auto input_syntax mode. Trying TPTP
0.21/0.47	% (9024)Refutation found. Thanks to Tanya!
0.21/0.47	% SZS status Theorem for theBenchmark
0.21/0.47	% SZS output start Proof for theBenchmark
0.21/0.47	tff(func_def_11, type, sK0: $real).
0.21/0.47	tff(func_def_12, type, sF1: $int).
0.21/0.47	tff(func_def_13, type, sF2: $real).
0.21/0.47	tff(func_def_14, type, sF3: $int).
0.21/0.47	tff(func_def_15, type, sF4: $real).
0.21/0.47	tff(f69,plain,(
0.21/0.47	  $false),
0.21/0.47	  inference(avatar_smt_refutation,[],[f43,f48,f53,f58,f63,f68])).
0.21/0.47	tff(f68,plain,(
0.21/0.47	  spl5_6),
0.21/0.47	  inference(avatar_split_clause,[],[f37,f65])).
0.21/0.47	tff(f65,definition,(
0.21/0.47	  spl5_6 <=> $to_real(sF1) = sF4),
0.21/0.47	  introduced(definition,[new_symbols(naming,[spl5_6])],[avatar_definition])).
0.21/0.47	tff(f37,definition,(
0.21/0.47	  $to_real(sF1) = sF4),
0.21/0.47	  introduced(definition,[new_symbols(definition,[sF4])],[function_definition])).
0.21/0.47	tff(f63,plain,(
0.21/0.47	  spl5_5),
0.21/0.47	  inference(avatar_split_clause,[],[f34,f60])).
0.21/0.47	tff(f60,definition,(
0.21/0.47	  spl5_5 <=> sF2 = $ceiling(sK0)),
0.21/0.47	  introduced(definition,[new_symbols(naming,[spl5_5])],[avatar_definition])).
0.21/0.47	tff(f34,definition,(
0.21/0.47	  sF2 = $ceiling(sK0)),
0.21/0.47	  introduced(definition,[new_symbols(definition,[sF2])],[function_definition])).
0.21/0.47	tff(f58,plain,(
0.21/0.47	  spl5_4),
0.21/0.47	  inference(avatar_split_clause,[],[f38,f55])).
0.21/0.47	tff(f55,definition,(
0.21/0.47	  spl5_4 <=> sK0 = sF4),
0.21/0.47	  introduced(definition,[new_symbols(naming,[spl5_4])],[avatar_definition])).
0.21/0.47	tff(f38,plain,(
0.21/0.47	  sK0 = sF4),
0.21/0.47	  inference(definition_folding,[],[f31,f37,f33])).
0.21/0.47	tff(f33,definition,(
0.21/0.47	  sF1 = $to_int(sK0)),
0.21/0.47	  introduced(definition,[new_symbols(definition,[sF1])],[function_definition])).
0.21/0.47	tff(f31,plain,(
0.21/0.47	  $to_real($to_int(sK0)) = sK0),
0.21/0.47	  inference(cnf_transformation,[],[f30])).
0.21/0.47	tff(f30,plain,(
0.21/0.47	  $less($to_int(sK0),$to_int($ceiling(sK0))) & $to_real($to_int(sK0)) = sK0),
0.21/0.47	  inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f28,f29])).
0.21/0.47	tff(f29,plain,(
0.21/0.47	  ? [X0 : $real] : ($less($to_int(X0),$to_int($ceiling(X0))) & $to_real($to_int(X0)) = X0) => ($less($to_int(sK0),$to_int($ceiling(sK0))) & $to_real($to_int(sK0)) = sK0)),
0.21/0.47	  introduced(definition,[],[choice_axiom])).
0.21/0.47	tff(f28,plain,(
0.21/0.47	  ? [X0 : $real] : ($less($to_int(X0),$to_int($ceiling(X0))) & $to_real($to_int(X0)) = X0)),
0.21/0.47	  inference(ennf_transformation,[],[f2])).
0.21/0.47	tff(f2,negated_conjecture,(
0.21/0.47	  ~! [X0 : $real] : ($less($to_int(X0),$to_int($ceiling(X0))) => $to_real($to_int(X0)) != X0)),
0.21/0.47	  inference(negated_conjecture,[status(cth)],[f1])).
0.21/0.47	tff(f1,conjecture,(
0.21/0.47	  ! [X0 : $real] : ($less($to_int(X0),$to_int($ceiling(X0))) => $to_real($to_int(X0)) != X0)),
0.21/0.47	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)).
0.21/0.47	tff(f53,plain,(
0.21/0.47	  spl5_3),
0.21/0.47	  inference(avatar_split_clause,[],[f33,f50])).
0.21/0.47	tff(f50,definition,(
0.21/0.47	  spl5_3 <=> sF1 = $to_int(sK0)),
0.21/0.47	  introduced(definition,[new_symbols(naming,[spl5_3])],[avatar_definition])).
0.21/0.47	tff(f48,plain,(
0.21/0.47	  spl5_2),
0.21/0.47	  inference(avatar_split_clause,[],[f36,f45])).
0.21/0.47	tff(f45,definition,(
0.21/0.47	  spl5_2 <=> $less(sF1,sF3)),
0.21/0.47	  introduced(definition,[new_symbols(naming,[spl5_2])],[avatar_definition])).
0.21/0.47	tff(f36,plain,(
0.21/0.47	  $less(sF1,sF3)),
0.21/0.47	  inference(definition_folding,[],[f32,f35,f34,f33])).
0.21/0.47	tff(f35,definition,(
0.21/0.47	  $to_int(sF2) = sF3),
0.21/0.47	  introduced(definition,[new_symbols(definition,[sF3])],[function_definition])).
0.21/0.47	tff(f32,plain,(
0.21/0.47	  $less($to_int(sK0),$to_int($ceiling(sK0)))),
0.21/0.47	  inference(cnf_transformation,[],[f30])).
0.21/0.47	tff(f43,plain,(
0.21/0.47	  spl5_1),
0.21/0.47	  inference(avatar_split_clause,[],[f35,f40])).
0.21/0.47	tff(f40,definition,(
0.21/0.47	  spl5_1 <=> $to_int(sF2) = sF3),
0.21/0.47	  introduced(definition,[new_symbols(naming,[spl5_1])],[avatar_definition])).
0.21/0.47	% SZS output end Proof for theBenchmark
0.21/0.47	% (9024)------------------------------
0.21/0.47	% (9024)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200)
0.21/0.47	% (9024)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
0.21/0.47	% (9024)Termination reason: Refutation
0.21/0.47	
0.21/0.47	% (9024)Time elapsed: 0.012 s
0.21/0.47	% (9024)Peak memory usage: 28 MB
0.21/0.47	% (9024)Instructions burned: 11 (million)
0.21/0.47	% (9024)------------------------------
0.21/0.47	% (9024)------------------------------
0.21/0.47	% (9015)Success in time 0.108 s
0.21/0.47	% (9023)Refutation not found, SMT solver inside AVATAR returned Unknown% (9023)------------------------------
0.21/0.47	% (9023)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200)
0.21/0.47	% (9023)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
0.21/0.47	% (9023)Termination reason: Refutation not found, SMT solver inside AVATAR returned Unknown
0.21/0.47	
0.21/0.47	% (9023)Time elapsed: 0.018 s
0.21/0.47	% (9023)Peak memory usage: 28 MB
0.21/0.47	% (9023)Instructions burned: 25 (million)
0.21/0.47	EOF