0.11/0.12	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.11/0.12	% Command    : run_vampire %s %d THM
0.12/0.33	% Computer   : n028.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 06:02:04 EDT 2025
0.12/0.33	% CPUTime    : 
0.12/0.35	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
0.21/0.44	% (26016)Running in auto input_syntax mode. Trying TPTP
0.21/0.44	% (26024)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=2946957754:i=33:rtra=on_1199 on theBenchmark for (1199ds/33Mi)
0.21/0.44	% (26016)Running in auto input_syntax mode. Trying TPTP
0.21/0.44	% (26022)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=202916522:i=4:rtra=on_1199 on theBenchmark for (1199ds/4Mi)
0.21/0.44	% (26016)Running in auto input_syntax mode. Trying TPTP
0.21/0.44	% (26018)dis+1002_16:1_to=lpo:sil=64000:norm_ineq=on:sas=z3:si=on:gve=force:uwa=one_side_constant:random_seed=3507038204:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_1199 on theBenchmark for (1199ds/12Mi)
0.21/0.44	% (26016)Running in auto input_syntax mode. Trying TPTP
0.21/0.44	% (26021)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=647399764:s2a=on:i=7:rtra=on:inst=on_1199 on theBenchmark for (1199ds/7Mi)
0.21/0.44	% (26016)Running in auto input_syntax mode. Trying TPTP
0.21/0.44	% (26019)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=3575804006:i=307:kws=precedence:nm=0:rtra=on_1199 on theBenchmark for (1199ds/307Mi)
0.21/0.44	% (26016)Running in auto input_syntax mode. Trying TPTP
0.21/0.44	% (26020)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=4000573751:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_1199 on theBenchmark for (1199ds/201Mi)
0.21/0.44	% (26016)Running in auto input_syntax mode. Trying TPTP
0.21/0.44	% (26023)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=243540159:i=46:rtra=on_1199 on theBenchmark for (1199ds/46Mi)
0.21/0.44	% (26021)Instruction limit reached! 
0.21/0.44	% (26021)------------------------------
0.21/0.44	% (26021)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200)
0.21/0.44	% (26021)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
0.21/0.44	% (26021)Termination reason: Instruction limit
0.21/0.44	% (26021)Termination phase: Saturation
0.21/0.44	
0.21/0.44	% (26021)Time elapsed: 0.004 s
0.21/0.44	% (26021)Peak memory usage: 7 MB
0.21/0.44	% (26021)Instructions burned: 7 (million)
0.21/0.44	% (26022)Instruction limit reached! 
0.21/0.44	% (26022)------------------------------
0.21/0.44	% (26022)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200)
0.21/0.44	% (26022)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
0.21/0.44	% (26022)Termination reason: Instruction limit
0.21/0.44	% (26022)Termination phase: Saturation
0.21/0.44	
0.21/0.44	% (26022)Time elapsed: 0.004 s
0.21/0.44	% (26022)Peak memory usage: 7 MB
0.21/0.44	% (26022)Instructions burned: 7 (million)
0.21/0.46	% (26018)Instruction limit reached! 
0.21/0.46	% (26018)------------------------------
0.21/0.46	% (26018)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200)
0.21/0.46	% (26018)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
0.21/0.46	% (26018)Termination reason: Instruction limit
0.21/0.46	% (26018)Termination phase: Saturation
0.21/0.46	
0.21/0.46	% (26018)Time elapsed: 0.018 s
0.21/0.46	% (26018)Peak memory usage: 28 MB
0.21/0.46	% (26018)Instructions burned: 12 (million)
0.21/0.47	% (26019)First to succeed.
0.21/0.47	% (26019)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-26016"
0.21/0.47	% (26016)Running in auto input_syntax mode. Trying TPTP
0.21/0.47	% (26019)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_0, type, u: $real).
0.21/0.47	tff(func_def_1, type, v: $real).
0.21/0.47	tff(func_def_2, type, w: $real).
0.21/0.47	tff(func_def_3, type, z: $real).
0.21/0.47	tff(func_def_8, type, sF0: $real).
0.21/0.47	tff(func_def_9, type, sF1: $real).
0.21/0.47	tff(func_def_10, type, sF2: $real).
0.21/0.47	tff(func_def_11, type, sF3: $real).
0.21/0.47	tff(func_def_12, type, sF4: $real).
0.21/0.47	tff(func_def_13, type, sF5: $real).
0.21/0.47	tff(func_def_14, type, sF6: $real).
0.21/0.47	tff(func_def_15, type, sF7: $real).
0.21/0.47	tff(func_def_16, type, sF8: $real).
0.21/0.47	tff(func_def_17, type, sF9: $real).
0.21/0.47	tff(f101,plain,(
0.21/0.47	  $false),
0.21/0.47	  inference(avatar_smt_refutation,[],[f30,f35,f40,f45,f50,f55,f60,f65,f70,f75,f80,f85,f90,f95,f100])).
0.21/0.47	tff(f100,plain,(
0.21/0.47	  spl10_15),
0.21/0.47	  inference(avatar_split_clause,[],[f20,f97])).
0.21/0.47	tff(f97,definition,(
0.21/0.47	  spl10_15 <=> $sum(sF4,1/1) = sF5),
0.21/0.47	  introduced(definition,[new_symbols(naming,[spl10_15])],[avatar_definition])).
0.21/0.47	tff(f20,definition,(
0.21/0.47	  $sum(sF4,1/1) = sF5),
0.21/0.47	  introduced(definition,[new_symbols(definition,[sF5])],[function_definition])).
0.21/0.47	tff(f95,plain,(
0.21/0.47	  spl10_14),
0.21/0.47	  inference(avatar_split_clause,[],[f11,f92])).
0.21/0.47	tff(f92,definition,(
0.21/0.47	  spl10_14 <=> $less($sum(1/1,z),w)),
0.21/0.47	  introduced(definition,[new_symbols(naming,[spl10_14])],[avatar_definition])).
0.21/0.47	tff(f11,plain,(
0.21/0.47	  $less($sum(1/1,z),w)),
0.21/0.47	  inference(cnf_transformation,[],[f1])).
0.21/0.47	tff(f1,axiom,(
0.21/0.47	  $less($sum(1/1,z),w)),
0.21/0.47	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)).
0.21/0.47	tff(f90,plain,(
0.21/0.47	  spl10_13),
0.21/0.47	  inference(avatar_split_clause,[],[f17,f87])).
0.21/0.47	tff(f87,definition,(
0.21/0.47	  spl10_13 <=> $product(sF1,sF1) = sF2),
0.21/0.47	  introduced(definition,[new_symbols(naming,[spl10_13])],[avatar_definition])).
0.21/0.47	tff(f17,definition,(
0.21/0.47	  $product(sF1,sF1) = sF2),
0.21/0.47	  introduced(definition,[new_symbols(definition,[sF2])],[function_definition])).
0.21/0.47	tff(f85,plain,(
0.21/0.47	  spl10_12),
0.21/0.47	  inference(avatar_split_clause,[],[f16,f82])).
0.21/0.47	tff(f82,definition,(
0.21/0.47	  spl10_12 <=> sF1 = $sum(sF0,z)),
0.21/0.47	  introduced(definition,[new_symbols(naming,[spl10_12])],[avatar_definition])).
0.21/0.47	tff(f16,definition,(
0.21/0.47	  sF1 = $sum(sF0,z)),
0.21/0.47	  introduced(definition,[new_symbols(definition,[sF1])],[function_definition])).
0.21/0.47	tff(f80,plain,(
0.21/0.47	  spl10_11),
0.21/0.47	  inference(avatar_split_clause,[],[f10,f77])).
0.21/0.47	tff(f77,definition,(
0.21/0.47	  spl10_11 <=> $less(u,v)),
0.21/0.47	  introduced(definition,[new_symbols(naming,[spl10_11])],[avatar_definition])).
0.21/0.47	tff(f10,plain,(
0.21/0.47	  $less(u,v)),
0.21/0.47	  inference(cnf_transformation,[],[f6])).
0.21/0.47	tff(f6,axiom,(
0.21/0.47	  $less(u,v)),
0.21/0.47	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)).
0.21/0.47	tff(f75,plain,(
0.21/0.47	  ~spl10_10),
0.21/0.47	  inference(avatar_split_clause,[],[f25,f72])).
0.21/0.47	tff(f72,definition,(
0.21/0.47	  spl10_10 <=> $less(sF3,sF9)),
0.21/0.47	  introduced(definition,[new_symbols(naming,[spl10_10])],[avatar_definition])).
0.21/0.47	tff(f25,plain,(
0.21/0.47	  ~$less(sF3,sF9)),
0.21/0.47	  inference(definition_folding,[],[f14,f24,f20,f19,f15,f23,f20,f19,f15,f22,f20,f19,f15,f21,f20,f19,f15,f20,f19,f15,f18,f16,f15,f17,f16,f15,f16,f15])).
0.21/0.47	tff(f18,definition,(
0.21/0.47	  $product(sF2,sF1) = sF3),
0.21/0.47	  introduced(definition,[new_symbols(definition,[sF3])],[function_definition])).
0.21/0.47	tff(f21,definition,(
0.21/0.47	  sF6 = $product(sF5,sF5)),
0.21/0.47	  introduced(definition,[new_symbols(definition,[sF6])],[function_definition])).
0.21/0.47	tff(f22,definition,(
0.21/0.47	  $product(sF6,sF5) = sF7),
0.21/0.47	  introduced(definition,[new_symbols(definition,[sF7])],[function_definition])).
0.21/0.47	tff(f23,definition,(
0.21/0.47	  $product(sF7,sF5) = sF8),
0.21/0.47	  introduced(definition,[new_symbols(definition,[sF8])],[function_definition])).
0.21/0.47	tff(f15,definition,(
0.21/0.47	  $sum(u,v) = sF0),
0.21/0.47	  introduced(definition,[new_symbols(definition,[sF0])],[function_definition])).
0.21/0.47	tff(f19,definition,(
0.21/0.47	  $sum(sF0,w) = sF4),
0.21/0.47	  introduced(definition,[new_symbols(definition,[sF4])],[function_definition])).
0.21/0.47	tff(f24,definition,(
0.21/0.47	  $product(sF8,sF5) = sF9),
0.21/0.47	  introduced(definition,[new_symbols(definition,[sF9])],[function_definition])).
0.21/0.47	tff(f14,plain,(
0.21/0.47	  ~$less($product($product($sum($sum(u,v),z),$sum($sum(u,v),z)),$sum($sum(u,v),z)),$product($product($product($product($sum($sum($sum(u,v),w),1/1),$sum($sum($sum(u,v),w),1/1)),$sum($sum($sum(u,v),w),1/1)),$sum($sum($sum(u,v),w),1/1)),$sum($sum($sum(u,v),w),1/1)))),
0.21/0.47	  inference(cnf_transformation,[],[f9])).
0.21/0.47	tff(f9,plain,(
0.21/0.47	  ~$less($product($product($sum($sum(u,v),z),$sum($sum(u,v),z)),$sum($sum(u,v),z)),$product($product($product($product($sum($sum($sum(u,v),w),1/1),$sum($sum($sum(u,v),w),1/1)),$sum($sum($sum(u,v),w),1/1)),$sum($sum($sum(u,v),w),1/1)),$sum($sum($sum(u,v),w),1/1)))),
0.21/0.47	  inference(flattening,[],[f5])).
0.21/0.47	tff(f5,negated_conjecture,(
0.21/0.47	  ~$less($product($product($sum($sum(u,v),z),$sum($sum(u,v),z)),$sum($sum(u,v),z)),$product($product($product($product($sum($sum($sum(u,v),w),1/1),$sum($sum($sum(u,v),w),1/1)),$sum($sum($sum(u,v),w),1/1)),$sum($sum($sum(u,v),w),1/1)),$sum($sum($sum(u,v),w),1/1)))),
0.21/0.47	  inference(negated_conjecture,[status(cth)],[f4])).
0.21/0.47	tff(f4,conjecture,(
0.21/0.47	  $less($product($product($sum($sum(u,v),z),$sum($sum(u,v),z)),$sum($sum(u,v),z)),$product($product($product($product($sum($sum($sum(u,v),w),1/1),$sum($sum($sum(u,v),w),1/1)),$sum($sum($sum(u,v),w),1/1)),$sum($sum($sum(u,v),w),1/1)),$sum($sum($sum(u,v),w),1/1)))),
0.21/0.47	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)).
0.21/0.47	tff(f70,plain,(
0.21/0.47	  spl10_9),
0.21/0.47	  inference(avatar_split_clause,[],[f15,f67])).
0.21/0.47	tff(f67,definition,(
0.21/0.47	  spl10_9 <=> $sum(u,v) = sF0),
0.21/0.47	  introduced(definition,[new_symbols(naming,[spl10_9])],[avatar_definition])).
0.21/0.47	tff(f65,plain,(
0.21/0.47	  spl10_8),
0.21/0.47	  inference(avatar_split_clause,[],[f24,f62])).
0.21/0.47	tff(f62,definition,(
0.21/0.47	  spl10_8 <=> $product(sF8,sF5) = sF9),
0.21/0.47	  introduced(definition,[new_symbols(naming,[spl10_8])],[avatar_definition])).
0.21/0.47	tff(f60,plain,(
0.21/0.47	  spl10_7),
0.21/0.47	  inference(avatar_split_clause,[],[f22,f57])).
0.21/0.47	tff(f57,definition,(
0.21/0.47	  spl10_7 <=> $product(sF6,sF5) = sF7),
0.21/0.47	  introduced(definition,[new_symbols(naming,[spl10_7])],[avatar_definition])).
0.21/0.47	tff(f55,plain,(
0.21/0.47	  spl10_6),
0.21/0.47	  inference(avatar_split_clause,[],[f19,f52])).
0.21/0.47	tff(f52,definition,(
0.21/0.47	  spl10_6 <=> $sum(sF0,w) = sF4),
0.21/0.47	  introduced(definition,[new_symbols(naming,[spl10_6])],[avatar_definition])).
0.21/0.47	tff(f50,plain,(
0.21/0.47	  spl10_5),
0.21/0.47	  inference(avatar_split_clause,[],[f13,f47])).
0.21/0.47	tff(f47,definition,(
0.21/0.47	  spl10_5 <=> $less(0/1,u)),
0.21/0.47	  introduced(definition,[new_symbols(naming,[spl10_5])],[avatar_definition])).
0.21/0.47	tff(f13,plain,(
0.21/0.47	  $less(0/1,u)),
0.21/0.47	  inference(cnf_transformation,[],[f8])).
0.21/0.47	tff(f8,plain,(
0.21/0.47	  $less(0/1,u)),
0.21/0.47	  inference(theory_normalization,[],[f3])).
0.21/0.47	tff(f3,axiom,(
0.21/0.47	  $greater(u,0/1)),
0.21/0.47	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)).
0.21/0.47	tff(f45,plain,(
0.21/0.47	  spl10_4),
0.21/0.47	  inference(avatar_split_clause,[],[f12,f42])).
0.21/0.47	tff(f42,definition,(
0.21/0.47	  spl10_4 <=> $less(0/1,z)),
0.21/0.47	  introduced(definition,[new_symbols(naming,[spl10_4])],[avatar_definition])).
0.21/0.47	tff(f12,plain,(
0.21/0.47	  $less(0/1,z)),
0.21/0.47	  inference(cnf_transformation,[],[f7])).
0.21/0.47	tff(f7,plain,(
0.21/0.47	  $less(0/1,z)),
0.21/0.47	  inference(theory_normalization,[],[f2])).
0.21/0.47	tff(f2,axiom,(
0.21/0.47	  $greater(z,0/1)),
0.21/0.47	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)).
0.21/0.47	tff(f40,plain,(
0.21/0.47	  spl10_3),
0.21/0.47	  inference(avatar_split_clause,[],[f18,f37])).
0.21/0.47	tff(f37,definition,(
0.21/0.47	  spl10_3 <=> $product(sF2,sF1) = sF3),
0.21/0.47	  introduced(definition,[new_symbols(naming,[spl10_3])],[avatar_definition])).
0.21/0.47	tff(f35,plain,(
0.21/0.47	  spl10_2),
0.21/0.47	  inference(avatar_split_clause,[],[f23,f32])).
0.21/0.47	tff(f32,definition,(
0.21/0.47	  spl10_2 <=> $product(sF7,sF5) = sF8),
0.21/0.47	  introduced(definition,[new_symbols(naming,[spl10_2])],[avatar_definition])).
0.21/0.47	tff(f30,plain,(
0.21/0.47	  spl10_1),
0.21/0.47	  inference(avatar_split_clause,[],[f21,f27])).
0.21/0.47	tff(f27,definition,(
0.21/0.47	  spl10_1 <=> sF6 = $product(sF5,sF5)),
0.21/0.47	  introduced(definition,[new_symbols(naming,[spl10_1])],[avatar_definition])).
0.21/0.47	% SZS output end Proof for theBenchmark
0.21/0.47	% (26019)------------------------------
0.21/0.47	% (26019)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200)
0.21/0.47	% (26019)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
0.21/0.47	% (26019)Termination reason: Refutation
0.21/0.47	
0.21/0.47	% (26019)Time elapsed: 0.029 s
0.21/0.47	% (26019)Peak memory usage: 29 MB
0.21/0.47	% (26019)Instructions burned: 19 (million)
0.21/0.47	% (26019)------------------------------
0.21/0.47	% (26019)------------------------------
0.21/0.47	% (26016)Success in time 0.109 s
0.21/0.47	EOF