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
0.12/0.32	% Computer   : n014.cluster.edu
0.12/0.32	% Model      : x86_64 x86_64
0.12/0.32	% CPU        : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.12/0.32	% Memory     : 8042.1875MB
0.12/0.32	% OS         : Linux 3.10.0-693.el7.x86_64
0.12/0.32	% CPULimit   : 960
0.12/0.32	% WCLimit    : 120
0.12/0.32	% DateTime   : Wed Jul 30 05:53:04 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/sandbox/solver/bin/vampire --mode casc -m 16384 --cores 7 -t 120 /export/starexec/sandbox/benchmark/theBenchmark.p
0.21/0.43	% (18114)Running in auto input_syntax mode. Trying TPTP
0.21/0.43	% (18122)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=249568611:i=33:rtra=on_1199 on theBenchmark for (1199ds/33Mi)
0.21/0.43	% (18114)Running in auto input_syntax mode. Trying TPTP
0.21/0.43	% (18117)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=2832521305:i=307:kws=precedence:nm=0:rtra=on_1199 on theBenchmark for (1199ds/307Mi)
0.21/0.43	% (18114)Running in auto input_syntax mode. Trying TPTP
0.21/0.43	% (18121)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=4078607126:i=46:rtra=on_1199 on theBenchmark for (1199ds/46Mi)
0.21/0.43	% (18114)Running in auto input_syntax mode. Trying TPTP
0.21/0.43	% (18118)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=854993422:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_1199 on theBenchmark for (1199ds/201Mi)
0.21/0.43	% (18114)Running in auto input_syntax mode. Trying TPTP
0.21/0.43	% (18119)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=1979049373:s2a=on:i=7:rtra=on:inst=on_1199 on theBenchmark for (1199ds/7Mi)
0.21/0.43	% (18114)Running in auto input_syntax mode. Trying TPTP
0.21/0.43	% (18116)dis+1002_16:1_to=lpo:sil=64000:norm_ineq=on:sas=z3:si=on:gve=force:uwa=one_side_constant:random_seed=3709854116:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_1199 on theBenchmark for (1199ds/12Mi)
0.21/0.43	% (18114)Running in auto input_syntax mode. Trying TPTP
0.21/0.43	% (18120)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=1303802950:i=4:rtra=on_1199 on theBenchmark for (1199ds/4Mi)
0.21/0.44	% (18120)Instruction limit reached! 
0.21/0.44	% (18120)------------------------------
0.21/0.44	% (18120)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200)
0.21/0.44	% (18120)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
0.21/0.44	% (18120)Termination reason: Instruction limit
0.21/0.44	% (18120)Termination phase: Saturation
0.21/0.44	
0.21/0.44	% (18120)Time elapsed: 0.012 s
0.21/0.44	% (18120)Peak memory usage: 8 MB
0.21/0.44	% (18120)Instructions burned: 21 (million)
0.21/0.44	% (18119)Instruction limit reached! 
0.21/0.44	% (18119)------------------------------
0.21/0.44	% (18119)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200)
0.21/0.44	% (18119)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
0.21/0.44	% (18119)Termination reason: Instruction limit
0.21/0.44	% (18119)Termination phase: Saturation
0.21/0.44	
0.21/0.44	% (18119)Time elapsed: 0.013 s
0.21/0.44	% (18119)Peak memory usage: 8 MB
0.21/0.44	% (18119)Instructions burned: 26 (million)
0.21/0.45	% (18116)Instruction limit reached! 
0.21/0.45	% (18116)------------------------------
0.21/0.45	% (18116)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200)
0.21/0.45	% (18116)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
0.21/0.45	% (18116)Termination reason: Instruction limit
0.21/0.45	
0.21/0.45	% (18116)Time elapsed: 0.018 s
0.21/0.45	% (18116)Peak memory usage: 29 MB
0.21/0.45	% (18116)Instructions burned: 13 (million)
0.21/0.45	% (18121)First to succeed.
0.21/0.45	% (18121)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-18114"
0.21/0.45	% (18117)Also succeeded, but the first one will report.
0.21/0.45	% (18114)Running in auto input_syntax mode. Trying TPTP
0.21/0.45	% (18121)Refutation found. Thanks to Tanya!
0.21/0.45	% SZS status Theorem for theBenchmark
0.21/0.45	% SZS output start Proof for theBenchmark
0.21/0.45	tff(func_def_0, type, x: $real).
0.21/0.45	tff(f27,plain,(
0.21/0.45	  $false),
0.21/0.45	  inference(avatar_smt_refutation,[],[f16,f21,f26])).
0.21/0.45	tff(f26,plain,(
0.21/0.45	  spl0_3),
0.21/0.45	  inference(avatar_split_clause,[],[f8,f23])).
0.21/0.45	tff(f23,definition,(
0.21/0.45	  spl0_3 <=> $less(x,1/1)),
0.21/0.45	  introduced(definition,[new_symbols(naming,[spl0_3])],[avatar_definition])).
0.21/0.45	tff(f8,plain,(
0.21/0.45	  $less(x,1/1)),
0.21/0.45	  inference(cnf_transformation,[],[f3])).
0.21/0.45	tff(f3,axiom,(
0.21/0.45	  $less(x,1/1)),
0.21/0.45	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)).
0.21/0.45	tff(f21,plain,(
0.21/0.45	  ~spl0_2),
0.21/0.45	  inference(avatar_split_clause,[],[f11,f18])).
0.21/0.45	tff(f18,definition,(
0.21/0.45	  spl0_2 <=> $less($quotient(1/1,$sum($uminus($product(x,x)),1/1)),$quotient(1/1,$sum($uminus(x),1/1)))),
0.21/0.45	  introduced(definition,[new_symbols(naming,[spl0_2])],[avatar_definition])).
0.21/0.45	tff(f11,plain,(
0.21/0.45	  ~$less($quotient(1/1,$sum($uminus($product(x,x)),1/1)),$quotient(1/1,$sum($uminus(x),1/1)))),
0.21/0.45	  inference(evaluation,[],[f9])).
0.21/0.45	tff(f9,plain,(
0.21/0.45	  ~$less($quotient(1/1,$sum($product(-1/1,$product(x,x)),1/1)),$quotient(1/1,$sum($product(-1/1,x),1/1)))),
0.21/0.45	  inference(cnf_transformation,[],[f7])).
0.21/0.45	tff(f7,plain,(
0.21/0.45	  ~$less($quotient(1/1,$sum($product(-1/1,$product(x,x)),1/1)),$quotient(1/1,$sum($product(-1/1,x),1/1)))),
0.21/0.45	  inference(flattening,[],[f5])).
0.21/0.45	tff(f5,plain,(
0.21/0.45	  ~$less($quotient(1/1,$sum($product(-1/1,$product(x,x)),1/1)),$quotient(1/1,$sum($product(-1/1,x),1/1)))),
0.21/0.45	  inference(theory_normalization,[],[f2])).
0.21/0.45	tff(f2,negated_conjecture,(
0.21/0.45	  ~$greater($quotient(1/1,$sum($product(-1/1,x),1/1)),$quotient(1/1,$sum($product(-1/1,$product(x,x)),1/1)))),
0.21/0.45	  inference(negated_conjecture,[status(cth)],[f1])).
0.21/0.45	tff(f1,conjecture,(
0.21/0.45	  $greater($quotient(1/1,$sum($product(-1/1,x),1/1)),$quotient(1/1,$sum($product(-1/1,$product(x,x)),1/1)))),
0.21/0.45	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)).
0.21/0.45	tff(f16,plain,(
0.21/0.45	  spl0_1),
0.21/0.45	  inference(avatar_split_clause,[],[f10,f13])).
0.21/0.45	tff(f13,definition,(
0.21/0.45	  spl0_1 <=> $less(0/1,x)),
0.21/0.45	  introduced(definition,[new_symbols(naming,[spl0_1])],[avatar_definition])).
0.21/0.45	tff(f10,plain,(
0.21/0.45	  $less(0/1,x)),
0.21/0.45	  inference(cnf_transformation,[],[f6])).
0.21/0.45	tff(f6,plain,(
0.21/0.45	  $less(0/1,x)),
0.21/0.45	  inference(theory_normalization,[],[f4])).
0.21/0.45	tff(f4,axiom,(
0.21/0.45	  $greater(x,0/1)),
0.21/0.45	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)).
0.21/0.45	% SZS output end Proof for theBenchmark
0.21/0.45	% (18121)------------------------------
0.21/0.45	% (18121)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200)
0.21/0.45	% (18121)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
0.21/0.45	% (18121)Termination reason: Refutation
0.21/0.45	
0.21/0.45	% (18121)Time elapsed: 0.020 s
0.21/0.45	% (18121)Peak memory usage: 29 MB
0.21/0.45	% (18121)Instructions burned: 12 (million)
0.21/0.45	% (18121)------------------------------
0.21/0.45	% (18121)------------------------------
0.21/0.45	% (18114)Success in time 0.1 s
0.21/0.45	EOF