0.06/0.12	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.06/0.12	% Command    : run_vampire %s %d THM
0.12/0.33	% Computer   : n027.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 06:03:04 EDT 2025
0.12/0.33	% CPUTime    : 
0.12/0.35	This is a TFF_ problem
0.12/0.35	Running first-order theorem proving
0.12/0.35	Running /export/starexec/sandbox2/solver/bin/vampire --mode casc -m 16384 --cores 7 -t 120 /export/starexec/sandbox2/benchmark/theBenchmark.p
0.21/0.43	% (24176)Running in auto input_syntax mode. Trying TPTP
0.21/0.43	% (24182)dis+1002_16:1_to=lpo:sil=64000:norm_ineq=on:sas=z3:si=on:gve=force:uwa=one_side_constant:random_seed=512402539:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_1200 on theBenchmark for (1200ds/12Mi)
0.21/0.43	% (24176)Running in auto input_syntax mode. Trying TPTP
0.21/0.43	% (24184)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=4236110140:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_1200 on theBenchmark for (1200ds/201Mi)
0.21/0.43	% (24176)Running in auto input_syntax mode. Trying TPTP
0.21/0.43	% (24183)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=1340283697:i=307:kws=precedence:nm=0:rtra=on_1200 on theBenchmark for (1200ds/307Mi)
0.21/0.44	% (24176)Running in auto input_syntax mode. Trying TPTP
0.21/0.44	% (24188)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=1767130709:i=33:rtra=on_1200 on theBenchmark for (1200ds/33Mi)
0.21/0.44	% (24176)Running in auto input_syntax mode. Trying TPTP
0.21/0.44	% (24186)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=4006529002:i=4:rtra=on_1200 on theBenchmark for (1200ds/4Mi)
0.21/0.44	% (24176)Running in auto input_syntax mode. Trying TPTP
0.21/0.44	% (24187)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=2990772142:i=46:rtra=on_1200 on theBenchmark for (1200ds/46Mi)
0.21/0.44	% (24186)Instruction limit reached! 
0.21/0.44	% (24186)------------------------------
0.21/0.44	% (24186)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200)
0.21/0.44	% (24186)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
0.21/0.44	% (24186)Termination reason: Instruction limit
0.21/0.44	% (24186)Termination phase: Saturation
0.21/0.44	
0.21/0.44	% (24186)Time elapsed: 0.004 s
0.21/0.44	% (24186)Peak memory usage: 8 MB
0.21/0.44	% (24186)Instructions burned: 5 (million)
0.21/0.45	% (24176)Running in auto input_syntax mode. Trying TPTP
0.21/0.45	% (24185)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=3017989336:s2a=on:i=7:rtra=on:inst=on_1200 on theBenchmark for (1200ds/7Mi)
0.21/0.45	% (24183)First to succeed.
0.21/0.45	% (24182)Also succeeded, but the first one will report.
0.21/0.45	% (24183)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-24176"
0.21/0.45	% (24188)Also succeeded, but the first one will report.
0.21/0.46	% (24185)Instruction limit reached! 
0.21/0.46	% (24185)------------------------------
0.21/0.46	% (24185)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200)
0.21/0.46	% (24185)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
0.21/0.46	% (24185)Termination reason: Instruction limit
0.21/0.46	% (24185)Termination phase: Saturation
0.21/0.46	
0.21/0.46	% (24185)Time elapsed: 0.006 s
0.21/0.46	% (24185)Peak memory usage: 8 MB
0.21/0.46	% (24185)Instructions burned: 10 (million)
0.21/0.46	% (24176)Running in auto input_syntax mode. Trying TPTP
0.21/0.46	% (24183)Refutation found. Thanks to Tanya!
0.21/0.46	% SZS status Theorem for theBenchmark
0.21/0.46	% SZS output start Proof for theBenchmark
0.21/0.46	tff(func_def_0, type, x: $real).
0.21/0.46	tff(func_def_1, type, y: $real).
0.21/0.46	tff(func_def_5, type, sF0: $real).
0.21/0.46	tff(func_def_6, type, sF1: $real).
0.21/0.46	tff(func_def_7, type, sF2: $real).
0.21/0.46	tff(f38,plain,(
0.21/0.46	  $false),
0.21/0.46	  inference(avatar_smt_refutation,[],[f17,f22,f27,f32,f37])).
0.21/0.46	tff(f37,plain,(
0.21/0.46	  spl3_5),
0.21/0.46	  inference(avatar_split_clause,[],[f12,f34])).
0.21/0.46	tff(f34,definition,(
0.21/0.46	  spl3_5 <=> $less(sF2,sF1)),
0.21/0.46	  introduced(definition,[new_symbols(naming,[spl3_5])],[avatar_definition])).
0.21/0.46	tff(f12,plain,(
0.21/0.46	  $less(sF2,sF1)),
0.21/0.46	  inference(definition_folding,[],[f7,f10,f9,f11,f10,f9])).
0.21/0.46	tff(f11,definition,(
0.21/0.46	  sF2 = $product(sF1,x)),
0.21/0.46	  introduced(definition,[new_symbols(definition,[sF2])],[function_definition])).
0.21/0.46	tff(f9,definition,(
0.21/0.46	  $product(y,y) = sF0),
0.21/0.46	  introduced(definition,[new_symbols(definition,[sF0])],[function_definition])).
0.21/0.46	tff(f10,definition,(
0.21/0.46	  sF1 = $sum(1/1,sF0)),
0.21/0.46	  introduced(definition,[new_symbols(definition,[sF1])],[function_definition])).
0.21/0.46	tff(f7,plain,(
0.21/0.46	  $less($product($sum(1/1,$product(y,y)),x),$sum(1/1,$product(y,y)))),
0.21/0.46	  inference(cnf_transformation,[],[f6])).
0.21/0.46	tff(f6,plain,(
0.21/0.46	  $less($product($sum(1/1,$product(y,y)),x),$sum(1/1,$product(y,y)))),
0.21/0.46	  inference(flattening,[],[f4])).
0.21/0.46	tff(f4,plain,(
0.21/0.46	  ~~$less($product($sum(1/1,$product(y,y)),x),$sum(1/1,$product(y,y)))),
0.21/0.46	  inference(theory_normalization,[],[f3])).
0.21/0.46	tff(f3,negated_conjecture,(
0.21/0.46	  ~$greatereq($product($sum(1/1,$product(y,y)),x),$sum(1/1,$product(y,y)))),
0.21/0.46	  inference(negated_conjecture,[status(cth)],[f2])).
0.21/0.46	tff(f2,conjecture,(
0.21/0.46	  $greatereq($product($sum(1/1,$product(y,y)),x),$sum(1/1,$product(y,y)))),
0.21/0.46	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)).
0.21/0.46	tff(f32,plain,(
0.21/0.46	  spl3_4),
0.21/0.46	  inference(avatar_split_clause,[],[f8,f29])).
0.21/0.46	tff(f29,definition,(
0.21/0.46	  spl3_4 <=> $less(1/1,x)),
0.21/0.46	  introduced(definition,[new_symbols(naming,[spl3_4])],[avatar_definition])).
0.21/0.46	tff(f8,plain,(
0.21/0.46	  $less(1/1,x)),
0.21/0.46	  inference(cnf_transformation,[],[f5])).
0.21/0.46	tff(f5,plain,(
0.21/0.46	  $less(1/1,x)),
0.21/0.46	  inference(theory_normalization,[],[f1])).
0.21/0.46	tff(f1,axiom,(
0.21/0.46	  $greater(x,1/1)),
0.21/0.46	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)).
0.21/0.46	tff(f27,plain,(
0.21/0.46	  spl3_3),
0.21/0.46	  inference(avatar_split_clause,[],[f10,f24])).
0.21/0.46	tff(f24,definition,(
0.21/0.46	  spl3_3 <=> sF1 = $sum(1/1,sF0)),
0.21/0.46	  introduced(definition,[new_symbols(naming,[spl3_3])],[avatar_definition])).
0.21/0.46	tff(f22,plain,(
0.21/0.46	  spl3_2),
0.21/0.46	  inference(avatar_split_clause,[],[f9,f19])).
0.21/0.46	tff(f19,definition,(
0.21/0.46	  spl3_2 <=> $product(y,y) = sF0),
0.21/0.46	  introduced(definition,[new_symbols(naming,[spl3_2])],[avatar_definition])).
0.21/0.46	tff(f17,plain,(
0.21/0.46	  spl3_1),
0.21/0.46	  inference(avatar_split_clause,[],[f11,f14])).
0.21/0.46	tff(f14,definition,(
0.21/0.46	  spl3_1 <=> sF2 = $product(sF1,x)),
0.21/0.46	  introduced(definition,[new_symbols(naming,[spl3_1])],[avatar_definition])).
0.21/0.46	% SZS output end Proof for theBenchmark
0.21/0.46	% (24183)------------------------------
0.21/0.46	% (24183)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200)
0.21/0.46	% (24183)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
0.21/0.46	% (24183)Termination reason: Refutation
0.21/0.46	
0.21/0.46	% (24183)Time elapsed: 0.019 s
0.21/0.46	% (24183)Peak memory usage: 28 MB
0.21/0.46	% (24183)Instructions burned: 10 (million)
0.21/0.46	% (24183)------------------------------
0.21/0.46	% (24183)------------------------------
0.21/0.46	% (24176)Success in time 0.097 s
0.21/0.46	EOF