0.09/0.12	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.09/0.12	% Command    : run_vampire %s %d THM
0.10/0.33	% Computer   : n001.cluster.edu
0.10/0.33	% Model      : x86_64 x86_64
0.10/0.33	% CPU        : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.10/0.33	% Memory     : 8042.1875MB
0.10/0.33	% OS         : Linux 3.10.0-693.el7.x86_64
0.10/0.33	% CPULimit   : 960
0.10/0.33	% WCLimit    : 120
0.10/0.33	% DateTime   : Wed Jul 30 06:38:04 EDT 2025
0.10/0.33	% CPUTime    : 
0.10/0.35	This is a TFF_ problem
0.10/0.35	Running first-order theorem proving
0.10/0.35	Running /export/starexec/sandbox2/solver/bin/vampire --mode casc -m 16384 --cores 7 -t 120 /export/starexec/sandbox2/benchmark/theBenchmark.p
0.19/0.42	% (12546)Running in auto input_syntax mode. Trying TPTP
0.19/0.42	% (12553)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=3524178082:i=46:rtra=on_1200 on theBenchmark for (1200ds/46Mi)
0.19/0.42	% (12546)Running in auto input_syntax mode. Trying TPTP
0.19/0.42	% (12552)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=107444386:i=4:rtra=on_1200 on theBenchmark for (1200ds/4Mi)
0.19/0.42	% (12546)Running in auto input_syntax mode. Trying TPTP
0.19/0.42	% (12548)dis+1002_16:1_to=lpo:sil=64000:norm_ineq=on:sas=z3:si=on:gve=force:uwa=one_side_constant:random_seed=3542274874:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_1200 on theBenchmark for (1200ds/12Mi)
0.19/0.42	% (12546)Running in auto input_syntax mode. Trying TPTP
0.19/0.42	% (12554)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=2862397328:i=33:rtra=on_1200 on theBenchmark for (1200ds/33Mi)
0.19/0.42	% (12546)Running in auto input_syntax mode. Trying TPTP
0.19/0.42	% (12551)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=2856794394:s2a=on:i=7:rtra=on:inst=on_1200 on theBenchmark for (1200ds/7Mi)
0.19/0.42	% (12546)Running in auto input_syntax mode. Trying TPTP
0.19/0.42	% (12550)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=3338148305:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_1200 on theBenchmark for (1200ds/201Mi)
0.19/0.42	% (12546)Running in auto input_syntax mode. Trying TPTP
0.19/0.42	% (12549)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=480868524:i=307:kws=precedence:nm=0:rtra=on_1200 on theBenchmark for (1200ds/307Mi)
0.19/0.43	% (12552)Instruction limit reached! 
0.19/0.43	% (12552)------------------------------
0.19/0.43	% (12552)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200)
0.19/0.43	% (12552)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
0.19/0.43	% (12552)Termination reason: Instruction limit
0.19/0.43	% (12552)Termination phase: Saturation
0.19/0.43	
0.19/0.43	% (12552)Time elapsed: 0.003 s
0.19/0.43	% (12552)Peak memory usage: 7 MB
0.19/0.43	% (12552)Instructions burned: 5 (million)
0.19/0.43	% (12551)Instruction limit reached! 
0.19/0.43	% (12551)------------------------------
0.19/0.43	% (12551)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200)
0.19/0.43	% (12551)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
0.19/0.43	% (12551)Termination reason: Instruction limit
0.19/0.43	% (12551)Termination phase: Saturation
0.19/0.43	
0.19/0.43	% (12551)Time elapsed: 0.004 s
0.19/0.43	% (12551)Peak memory usage: 8 MB
0.19/0.43	% (12551)Instructions burned: 7 (million)
0.19/0.44	% (12548)Instruction limit reached! 
0.19/0.44	% (12548)------------------------------
0.19/0.44	% (12548)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200)
0.19/0.44	% (12548)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
0.19/0.44	% (12548)Termination reason: Instruction limit
0.19/0.44	% (12548)Termination phase: Saturation
0.19/0.44	
0.19/0.44	% (12548)Time elapsed: 0.013 s
0.19/0.44	% (12548)Peak memory usage: 29 MB
0.19/0.44	% (12548)Instructions burned: 12 (million)
0.19/0.44	% (12549)First to succeed.
0.19/0.44	% (12554)Also succeeded, but the first one will report.
0.19/0.44	% (12549)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-12546"
0.19/0.44	% (12546)Running in auto input_syntax mode. Trying TPTP
0.19/0.44	% (12549)Refutation found. Thanks to Tanya!
0.19/0.44	% SZS status Theorem for theBenchmark
0.19/0.44	% SZS output start Proof for theBenchmark
0.19/0.44	tff(func_def_0, type, a: $int).
0.19/0.44	tff(func_def_1, type, b: $int).
0.19/0.44	tff(func_def_2, type, c: $int).
0.19/0.44	tff(func_def_3, type, d: $int).
0.19/0.44	tff(func_def_9, type, sF0: $int).
0.19/0.44	tff(func_def_10, type, sF1: $int).
0.19/0.44	tff(func_def_11, type, sF2: $int).
0.19/0.44	tff(func_def_12, type, sF3: $int).
0.19/0.44	tff(func_def_13, type, sF4: $int).
0.19/0.44	tff(f58,plain,(
0.19/0.44	  $false),
0.19/0.44	  inference(avatar_smt_refutation,[],[f22,f27,f32,f37,f42,f47,f52,f57])).
0.19/0.44	tff(f57,plain,(
0.19/0.44	  spl5_8),
0.19/0.44	  inference(avatar_split_clause,[],[f14,f54])).
0.19/0.44	tff(f54,definition,(
0.19/0.44	  spl5_8 <=> $uminus(d) = sF2),
0.19/0.44	  introduced(definition,[new_symbols(naming,[spl5_8])],[avatar_definition])).
0.19/0.44	tff(f14,definition,(
0.19/0.44	  $uminus(d) = sF2),
0.19/0.44	  introduced(definition,[new_symbols(definition,[sF2])],[function_definition])).
0.19/0.44	tff(f52,plain,(
0.19/0.44	  spl5_7),
0.19/0.44	  inference(avatar_split_clause,[],[f17,f49])).
0.19/0.44	tff(f49,definition,(
0.19/0.44	  spl5_7 <=> $less(sF4,0)),
0.19/0.44	  introduced(definition,[new_symbols(naming,[spl5_7])],[avatar_definition])).
0.19/0.44	tff(f17,plain,(
0.19/0.44	  $less(sF4,0)),
0.19/0.44	  inference(definition_folding,[],[f9,f16,f15,f14,f13,f12])).
0.19/0.44	tff(f12,definition,(
0.19/0.44	  $uminus(b) = sF0),
0.19/0.44	  introduced(definition,[new_symbols(definition,[sF0])],[function_definition])).
0.19/0.44	tff(f13,definition,(
0.19/0.44	  sF1 = $sum(a,sF0)),
0.19/0.44	  introduced(definition,[new_symbols(definition,[sF1])],[function_definition])).
0.19/0.44	tff(f15,definition,(
0.19/0.44	  sF3 = $sum(c,sF2)),
0.19/0.44	  introduced(definition,[new_symbols(definition,[sF3])],[function_definition])).
0.19/0.44	tff(f16,definition,(
0.19/0.44	  $product(sF1,sF3) = sF4),
0.19/0.44	  introduced(definition,[new_symbols(definition,[sF4])],[function_definition])).
0.19/0.44	tff(f9,plain,(
0.19/0.44	  $less($product($sum(a,$uminus(b)),$sum(c,$uminus(d))),0)),
0.19/0.44	  inference(cnf_transformation,[],[f8])).
0.19/0.44	tff(f8,plain,(
0.19/0.44	  $less($product($sum(a,$uminus(b)),$sum(c,$uminus(d))),0)),
0.19/0.44	  inference(flattening,[],[f7])).
0.19/0.44	tff(f7,plain,(
0.19/0.44	  ~~$less($product($sum(a,$uminus(b)),$sum(c,$uminus(d))),0)),
0.19/0.44	  inference(theory_normalization,[],[f2])).
0.19/0.44	tff(f2,negated_conjecture,(
0.19/0.44	  ~$lesseq(0,$product($difference(a,b),$difference(c,d)))),
0.19/0.44	  inference(negated_conjecture,[status(cth)],[f1])).
0.19/0.44	tff(f1,conjecture,(
0.19/0.44	  $lesseq(0,$product($difference(a,b),$difference(c,d)))),
0.19/0.44	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)).
0.19/0.44	tff(f47,plain,(
0.19/0.44	  ~spl5_6),
0.19/0.44	  inference(avatar_split_clause,[],[f11,f44])).
0.19/0.44	tff(f44,definition,(
0.19/0.44	  spl5_6 <=> $less(c,d)),
0.19/0.44	  introduced(definition,[new_symbols(naming,[spl5_6])],[avatar_definition])).
0.19/0.44	tff(f11,plain,(
0.19/0.44	  ~$less(c,d)),
0.19/0.44	  inference(cnf_transformation,[],[f6])).
0.19/0.44	tff(f6,plain,(
0.19/0.44	  ~$less(c,d)),
0.19/0.44	  inference(theory_normalization,[],[f3])).
0.19/0.44	tff(f3,axiom,(
0.19/0.44	  $lesseq(d,c)),
0.19/0.44	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)).
0.19/0.44	tff(f42,plain,(
0.19/0.44	  ~spl5_5),
0.19/0.44	  inference(avatar_split_clause,[],[f10,f39])).
0.19/0.44	tff(f39,definition,(
0.19/0.44	  spl5_5 <=> $less(a,b)),
0.19/0.44	  introduced(definition,[new_symbols(naming,[spl5_5])],[avatar_definition])).
0.19/0.44	tff(f10,plain,(
0.19/0.44	  ~$less(a,b)),
0.19/0.44	  inference(cnf_transformation,[],[f5])).
0.19/0.44	tff(f5,plain,(
0.19/0.44	  ~$less(a,b)),
0.19/0.44	  inference(theory_normalization,[],[f4])).
0.19/0.44	tff(f4,axiom,(
0.19/0.44	  $lesseq(b,a)),
0.19/0.44	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)).
0.19/0.44	tff(f37,plain,(
0.19/0.44	  spl5_4),
0.19/0.44	  inference(avatar_split_clause,[],[f15,f34])).
0.19/0.44	tff(f34,definition,(
0.19/0.44	  spl5_4 <=> sF3 = $sum(c,sF2)),
0.19/0.44	  introduced(definition,[new_symbols(naming,[spl5_4])],[avatar_definition])).
0.19/0.44	tff(f32,plain,(
0.19/0.44	  spl5_3),
0.19/0.44	  inference(avatar_split_clause,[],[f12,f29])).
0.19/0.44	tff(f29,definition,(
0.19/0.44	  spl5_3 <=> $uminus(b) = sF0),
0.19/0.44	  introduced(definition,[new_symbols(naming,[spl5_3])],[avatar_definition])).
0.19/0.44	tff(f27,plain,(
0.19/0.44	  spl5_2),
0.19/0.44	  inference(avatar_split_clause,[],[f16,f24])).
0.19/0.44	tff(f24,definition,(
0.19/0.44	  spl5_2 <=> $product(sF1,sF3) = sF4),
0.19/0.44	  introduced(definition,[new_symbols(naming,[spl5_2])],[avatar_definition])).
0.19/0.44	tff(f22,plain,(
0.19/0.44	  spl5_1),
0.19/0.44	  inference(avatar_split_clause,[],[f13,f19])).
0.19/0.44	tff(f19,definition,(
0.19/0.44	  spl5_1 <=> sF1 = $sum(a,sF0)),
0.19/0.44	  introduced(definition,[new_symbols(naming,[spl5_1])],[avatar_definition])).
0.19/0.44	% SZS output end Proof for theBenchmark
0.19/0.44	% (12549)------------------------------
0.19/0.44	% (12549)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200)
0.19/0.44	% (12549)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
0.19/0.44	% (12549)Termination reason: Refutation
0.19/0.44	
0.19/0.44	% (12549)Time elapsed: 0.014 s
0.19/0.44	% (12549)Peak memory usage: 28 MB
0.19/0.44	% (12549)Instructions burned: 12 (million)
0.19/0.44	% (12549)------------------------------
0.19/0.44	% (12549)------------------------------
0.19/0.44	% (12546)Success in time 0.087 s
0.19/0.44	EOF