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
0.12/0.34	% Computer   : n008.cluster.edu
0.12/0.34	% Model      : x86_64 x86_64
0.12/0.34	% CPU        : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.12/0.34	% Memory     : 8042.1875MB
0.12/0.34	% OS         : Linux 3.10.0-693.el7.x86_64
0.12/0.34	% CPULimit   : 960
0.12/0.34	% WCLimit    : 120
0.12/0.34	% DateTime   : Wed Jul 30 06:07:34 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/sandbox/solver/bin/vampire --mode casc -m 16384 --cores 7 -t 120 /export/starexec/sandbox/benchmark/theBenchmark.p
0.22/0.44	% (13081)Running in auto input_syntax mode. Trying TPTP
0.22/0.44	% (13095)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=145420650:i=33:rtra=on_1199 on theBenchmark for (1199ds/33Mi)
0.22/0.44	% (13081)Running in auto input_syntax mode. Trying TPTP
0.22/0.44	% (13092)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=1994278116:s2a=on:i=7:rtra=on:inst=on_1199 on theBenchmark for (1199ds/7Mi)
0.22/0.44	% (13081)Running in auto input_syntax mode. Trying TPTP
0.22/0.44	% (13091)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=2760743949:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_1199 on theBenchmark for (1199ds/201Mi)
0.22/0.44	% (13081)Running in auto input_syntax mode. Trying TPTP
0.22/0.44	% (13093)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=3449924070:i=4:rtra=on_1199 on theBenchmark for (1199ds/4Mi)
0.22/0.44	% (13081)Running in auto input_syntax mode. Trying TPTP
0.22/0.44	% (13090)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=3467999855:i=307:kws=precedence:nm=0:rtra=on_1199 on theBenchmark for (1199ds/307Mi)
0.22/0.45	% (13081)Running in auto input_syntax mode. Trying TPTP
0.22/0.45	% (13089)dis+1002_16:1_to=lpo:sil=64000:norm_ineq=on:sas=z3:si=on:gve=force:uwa=one_side_constant:random_seed=759977232:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_1199 on theBenchmark for (1199ds/12Mi)
0.22/0.45	% (13093)Instruction limit reached! 
0.22/0.45	% (13093)------------------------------
0.22/0.45	% (13093)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200)
0.22/0.45	% (13093)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
0.22/0.45	% (13093)Termination reason: Instruction limit
0.22/0.45	% (13093)Termination phase: Saturation
0.22/0.45	
0.22/0.45	% (13093)Time elapsed: 0.003 s
0.22/0.45	% (13093)Peak memory usage: 7 MB
0.22/0.45	% (13093)Instructions burned: 4 (million)
0.22/0.45	% (13092)Instruction limit reached! 
0.22/0.45	% (13092)------------------------------
0.22/0.45	% (13092)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200)
0.22/0.45	% (13092)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
0.22/0.45	% (13092)Termination reason: Instruction limit
0.22/0.45	% (13092)Termination phase: Saturation
0.22/0.45	
0.22/0.45	% (13092)Time elapsed: 0.005 s
0.22/0.45	% (13092)Peak memory usage: 8 MB
0.22/0.45	% (13092)Instructions burned: 7 (million)
0.22/0.46	% (13081)Running in auto input_syntax mode. Trying TPTP
0.22/0.46	% (13094)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=3978808198:i=46:rtra=on_1199 on theBenchmark for (1199ds/46Mi)
0.22/0.46	% (13089)Instruction limit reached! 
0.22/0.46	% (13089)------------------------------
0.22/0.46	% (13089)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200)
0.22/0.46	% (13089)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
0.22/0.46	% (13089)Termination reason: Instruction limit
0.22/0.46	% (13089)Termination phase: Saturation
0.22/0.46	
0.22/0.46	% (13089)Time elapsed: 0.019 s
0.22/0.46	% (13089)Peak memory usage: 28 MB
0.22/0.46	% (13089)Instructions burned: 12 (million)
0.22/0.47	% (13095)First to succeed.
0.22/0.47	% (13090)Also succeeded, but the first one will report.
0.22/0.48	% (13095)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-13081"
0.22/0.48	% (13081)Running in auto input_syntax mode. Trying TPTP
0.22/0.48	% (13095)Refutation found. Thanks to Tanya!
0.22/0.48	% SZS status Theorem for theBenchmark
0.22/0.48	% SZS output start Proof for theBenchmark
0.22/0.48	tff(type_def_5, type, uni: $tType).
0.22/0.48	tff(type_def_6, type, ty: $tType).
0.22/0.48	tff(type_def_7, type, bool: $tType).
0.22/0.48	tff(type_def_8, type, tuple0: $tType).
0.22/0.48	tff(func_def_0, type, witness: ty > uni).
0.22/0.48	tff(func_def_1, type, int: ty).
0.22/0.48	tff(func_def_2, type, real: ty).
0.22/0.48	tff(func_def_3, type, bool1: ty).
0.22/0.48	tff(func_def_4, type, true: bool).
0.22/0.48	tff(func_def_5, type, false: bool).
0.22/0.48	tff(func_def_6, type, match_bool: (ty * bool * uni * uni) > uni).
0.22/0.48	tff(func_def_7, type, tuple01: ty).
0.22/0.48	tff(func_def_8, type, tuple02: tuple0).
0.22/0.48	tff(func_def_9, type, qtmark: ty).
0.22/0.48	tff(func_def_10, type, power: ($int * $int) > $int).
0.22/0.48	tff(func_def_11, type, abs: $int > $int).
0.22/0.48	tff(func_def_12, type, div: ($int * $int) > $int).
0.22/0.48	tff(func_def_13, type, mod: ($int * $int) > $int).
0.22/0.48	tff(func_def_14, type, ref: ty > ty).
0.22/0.48	tff(func_def_15, type, mk_ref: (ty * uni) > uni).
0.22/0.48	tff(func_def_16, type, contents: (ty * uni) > uni).
0.22/0.48	tff(func_def_23, type, sK0: $int).
0.22/0.48	tff(func_def_24, type, sK1: $int).
0.22/0.48	tff(func_def_25, type, sK2: $int).
0.22/0.48	tff(func_def_26, type, sK3: $int).
0.22/0.48	tff(func_def_27, type, sK4: $int).
0.22/0.48	tff(func_def_28, type, sF5: $int).
0.22/0.48	tff(func_def_29, type, sF6: $int).
0.22/0.48	tff(func_def_30, type, sF7: $int).
0.22/0.48	tff(pred_def_1, type, sort: (ty * uni) > $o).
0.22/0.48	tff(f414,plain,(
0.22/0.48	  $false),
0.22/0.48	  inference(avatar_smt_refutation,[],[f219,f224,f229,f234,f239,f244,f249,f256,f261,f267,f299,f304,f309,f377,f379,f388,f398,f403,f413])).
0.22/0.48	tff(f413,plain,(
0.22/0.48	  spl8_19 | ~spl8_2 | ~spl8_16),
0.22/0.48	  inference(avatar_split_clause,[],[f408,f385,f221,f410])).
0.22/0.48	tff(f410,definition,(
0.22/0.48	  spl8_19 <=> 1 = sF6),
0.22/0.48	  introduced(definition,[new_symbols(naming,[spl8_19])],[avatar_definition])).
0.22/0.48	tff(f221,definition,(
0.22/0.48	  spl8_2 <=> power(sK2,sK4) = sF6),
0.22/0.48	  introduced(definition,[new_symbols(naming,[spl8_2])],[avatar_definition])).
0.22/0.48	tff(f385,definition,(
0.22/0.48	  spl8_16 <=> 0 = sK4),
0.22/0.48	  introduced(definition,[new_symbols(naming,[spl8_16])],[avatar_definition])).
0.22/0.48	tff(f408,plain,(
0.22/0.48	  1 = sF6 | (~spl8_2 | ~spl8_16)),
0.22/0.48	  inference(forward_demodulation,[],[f405,f176])).
0.22/0.48	tff(f176,plain,(
0.22/0.48	  ( ! [X0 : $int] : (1 = power(X0,0)) )),
0.22/0.48	  inference(cnf_transformation,[],[f10])).
0.22/0.48	tff(f10,axiom,(
0.22/0.48	  ! [X0 : $int] : 1 = power(X0,0)),
0.22/0.48	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)).
0.22/0.48	tff(f405,plain,(
0.22/0.48	  sF6 = power(sK2,0) | (~spl8_2 | ~spl8_16)),
0.22/0.48	  inference(superposition,[],[f223,f387])).
0.22/0.48	tff(f387,plain,(
0.22/0.48	  0 = sK4 | ~spl8_16),
0.22/0.48	  inference(avatar_component_clause,[],[f385])).
0.22/0.48	tff(f223,plain,(
0.22/0.48	  power(sK2,sK4) = sF6 | ~spl8_2),
0.22/0.48	  inference(avatar_component_clause,[],[f221])).
0.22/0.48	tff(f403,plain,(
0.22/0.48	  spl8_18),
0.22/0.48	  inference(avatar_split_clause,[],[f394,f400])).
0.22/0.48	tff(f400,definition,(
0.22/0.48	  spl8_18 <=> $less(0,abs(1))),
0.22/0.48	  introduced(definition,[new_symbols(naming,[spl8_18])],[avatar_definition])).
0.22/0.48	tff(f394,plain,(
0.22/0.48	  $less(0,abs(1))),
0.22/0.48	  inference(evaluation,[],[f391])).
0.22/0.48	tff(f391,plain,(
0.22/0.48	  0 = 1 | $less(0,abs(1))),
0.22/0.48	  inference(superposition,[],[f171,f188])).
0.22/0.48	tff(f188,plain,(
0.22/0.48	  ( ! [X0 : $int] : (0 = mod(X0,1)) )),
0.22/0.48	  inference(cnf_transformation,[],[f11])).
0.22/0.48	tff(f11,axiom,(
0.22/0.48	  ! [X0 : $int] : 0 = mod(X0,1)),
0.22/0.48	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)).
0.22/0.48	tff(f171,plain,(
0.22/0.48	  ( ! [X0 : $int,X1 : $int] : ($less(mod(X0,X1),abs(X1)) | 0 = X1) )),
0.22/0.48	  inference(cnf_transformation,[],[f146])).
0.22/0.48	tff(f146,plain,(
0.22/0.48	  ! [X0 : $int,X1 : $int] : (0 = X1 | ($less(mod(X0,X1),abs(X1)) & $less($uminus(abs(X1)),mod(X0,X1))))),
0.22/0.48	  inference(rectify,[],[f119])).
0.22/0.48	tff(f119,plain,(
0.22/0.48	  ! [X1 : $int,X0 : $int] : (0 = X0 | ($less(mod(X1,X0),abs(X0)) & $less($uminus(abs(X0)),mod(X1,X0))))),
0.22/0.48	  inference(ennf_transformation,[],[f85])).
0.22/0.48	tff(f85,plain,(
0.22/0.48	  ! [X1 : $int,X0 : $int] : (0 != X0 => ($less(mod(X1,X0),abs(X0)) & $less($uminus(abs(X0)),mod(X1,X0))))),
0.22/0.48	  inference(rectify,[],[f31])).
0.22/0.48	tff(f31,axiom,(
0.22/0.48	  ! [X1 : $int,X0 : $int] : (0 != X1 => ($less(mod(X0,X1),abs(X1)) & $less($uminus(abs(X1)),mod(X0,X1))))),
0.22/0.48	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)).
0.22/0.48	tff(f398,plain,(
0.22/0.48	  spl8_17 | spl8_15 | ~spl8_11),
0.22/0.48	  inference(avatar_split_clause,[],[f392,f296,f374,f396])).
0.22/0.48	tff(f396,definition,(
0.22/0.48	  spl8_17 <=> ! [X0 : $int] : $less(mod(X0,sK1),sK1)),
0.22/0.48	  introduced(definition,[new_symbols(naming,[spl8_17])],[avatar_definition])).
0.22/0.48	tff(f374,definition,(
0.22/0.48	  spl8_15 <=> 0 = sK1),
0.22/0.48	  introduced(definition,[new_symbols(naming,[spl8_15])],[avatar_definition])).
0.22/0.48	tff(f296,definition,(
0.22/0.48	  spl8_11 <=> abs(sK1) = sK1),
0.22/0.48	  introduced(definition,[new_symbols(naming,[spl8_11])],[avatar_definition])).
0.22/0.48	tff(f392,plain,(
0.22/0.48	  ( ! [X0 : $int] : (0 = sK1 | $less(mod(X0,sK1),sK1)) ) | ~spl8_11),
0.22/0.48	  inference(superposition,[],[f171,f298])).
0.22/0.48	tff(f298,plain,(
0.22/0.48	  abs(sK1) = sK1 | ~spl8_11),
0.22/0.48	  inference(avatar_component_clause,[],[f296])).
0.22/0.48	tff(f388,plain,(
0.22/0.48	  spl8_16 | spl8_1 | spl8_7),
0.22/0.48	  inference(avatar_split_clause,[],[f380,f246,f216,f385])).
0.22/0.48	tff(f216,definition,(
0.22/0.48	  spl8_1 <=> $less(0,sK4)),
0.22/0.48	  introduced(definition,[new_symbols(naming,[spl8_1])],[avatar_definition])).
0.22/0.48	tff(f246,definition,(
0.22/0.48	  spl8_7 <=> $less(sK4,0)),
0.22/0.48	  introduced(definition,[new_symbols(naming,[spl8_7])],[avatar_definition])).
0.22/0.48	tff(f380,plain,(
0.22/0.48	  0 = sK4 | (spl8_1 | spl8_7)),
0.22/0.48	  inference(subsumption_resolution,[],[f357,f218])).
0.22/0.48	tff(f218,plain,(
0.22/0.48	  ~$less(0,sK4) | spl8_1),
0.22/0.48	  inference(avatar_component_clause,[],[f216])).
0.22/0.48	tff(f357,plain,(
0.22/0.48	  $less(0,sK4) | 0 = sK4 | spl8_7),
0.22/0.48	  inference(resolution,[],[f66,f248])).
0.22/0.48	tff(f248,plain,(
0.22/0.48	  ~$less(sK4,0) | spl8_7),
0.22/0.48	  inference(avatar_component_clause,[],[f246])).
0.22/0.48	tff(f66,plain,(
0.22/0.48	  ( ! [X0 : $int,X1 : $int] : ($less(X1,X0) | $less(X0,X1) | X0 = X1) )),
0.22/0.48	  introduced(definition,[],[theory_axiom_170])).
0.22/0.48	tff(f379,plain,(
0.22/0.48	  spl8_14 | spl8_15 | spl8_9),
0.22/0.48	  inference(avatar_split_clause,[],[f365,f258,f374,f370])).
0.22/0.48	tff(f370,definition,(
0.22/0.48	  spl8_14 <=> $less(0,sK1)),
0.22/0.48	  introduced(definition,[new_symbols(naming,[spl8_14])],[avatar_definition])).
0.22/0.48	tff(f258,definition,(
0.22/0.48	  spl8_9 <=> $less(sK1,0)),
0.22/0.48	  introduced(definition,[new_symbols(naming,[spl8_9])],[avatar_definition])).
0.22/0.48	tff(f365,plain,(
0.22/0.48	  $less(0,sK1) | 0 = sK1 | spl8_9),
0.22/0.48	  inference(resolution,[],[f66,f260])).
0.22/0.48	tff(f260,plain,(
0.22/0.48	  ~$less(sK1,0) | spl8_9),
0.22/0.48	  inference(avatar_component_clause,[],[f258])).
0.22/0.48	tff(f377,plain,(
0.22/0.48	  spl8_14 | spl8_15 | spl8_9),
0.22/0.48	  inference(avatar_split_clause,[],[f356,f258,f374,f370])).
0.22/0.48	tff(f356,plain,(
0.22/0.48	  0 = sK1 | $less(0,sK1) | spl8_9),
0.22/0.48	  inference(resolution,[],[f66,f260])).
0.22/0.48	tff(f309,plain,(
0.22/0.48	  spl8_13 | spl8_7),
0.22/0.48	  inference(avatar_split_clause,[],[f294,f246,f306])).
0.22/0.48	tff(f306,definition,(
0.22/0.48	  spl8_13 <=> abs(sK4) = sK4),
0.22/0.48	  introduced(definition,[new_symbols(naming,[spl8_13])],[avatar_definition])).
0.22/0.48	tff(f294,plain,(
0.22/0.48	  abs(sK4) = sK4 | spl8_7),
0.22/0.48	  inference(resolution,[],[f193,f248])).
0.22/0.48	tff(f193,plain,(
0.22/0.48	  ( ! [X0 : $int] : ($less(X0,0) | abs(X0) = X0) )),
0.22/0.48	  inference(cnf_transformation,[],[f136])).
0.22/0.48	tff(f136,plain,(
0.22/0.48	  ! [X0 : $int] : ((abs(X0) = $uminus(X0) | ~$less(X0,0)) & ($less(X0,0) | abs(X0) = X0))),
0.22/0.48	  inference(ennf_transformation,[],[f51])).
0.22/0.48	tff(f51,plain,(
0.22/0.48	  ! [X0 : $int] : (($less(X0,0) => abs(X0) = $uminus(X0)) & (~$less(X0,0) => abs(X0) = X0))),
0.22/0.48	  inference(theory_normalization,[],[f3])).
0.22/0.48	tff(f3,axiom,(
0.22/0.48	  ! [X0 : $int] : (($lesseq(0,X0) => abs(X0) = X0) & (~$lesseq(0,X0) => abs(X0) = $uminus(X0)))),
0.22/0.48	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)).
0.22/0.48	tff(f304,plain,(
0.22/0.48	  spl8_12),
0.22/0.48	  inference(avatar_split_clause,[],[f290,f301])).
0.22/0.48	tff(f301,definition,(
0.22/0.48	  spl8_12 <=> 0 = abs(0)),
0.22/0.48	  introduced(definition,[new_symbols(naming,[spl8_12])],[avatar_definition])).
0.22/0.48	tff(f290,plain,(
0.22/0.48	  0 = abs(0)),
0.22/0.48	  inference(resolution,[],[f193,f64])).
0.22/0.48	tff(f64,plain,(
0.22/0.48	  ( ! [X0 : $int] : (~$less(X0,X0)) )),
0.22/0.48	  introduced(definition,[],[theory_axiom_168])).
0.22/0.48	tff(f299,plain,(
0.22/0.48	  spl8_11 | spl8_9),
0.22/0.48	  inference(avatar_split_clause,[],[f293,f258,f296])).
0.22/0.48	tff(f293,plain,(
0.22/0.48	  abs(sK1) = sK1 | spl8_9),
0.22/0.48	  inference(resolution,[],[f193,f260])).
0.22/0.48	tff(f267,plain,(
0.22/0.48	  spl8_10 | ~spl8_3 | ~spl8_6),
0.22/0.48	  inference(avatar_split_clause,[],[f262,f241,f226,f264])).
0.22/0.48	tff(f264,definition,(
0.22/0.48	  spl8_10 <=> sF5 = $product(sK3,sF6)),
0.22/0.48	  introduced(definition,[new_symbols(naming,[spl8_10])],[avatar_definition])).
0.22/0.48	tff(f226,definition,(
0.22/0.48	  spl8_3 <=> sF5 = sF7),
0.22/0.48	  introduced(definition,[new_symbols(naming,[spl8_3])],[avatar_definition])).
0.22/0.48	tff(f241,definition,(
0.22/0.48	  spl8_6 <=> sF7 = $product(sK3,sF6)),
0.22/0.48	  introduced(definition,[new_symbols(naming,[spl8_6])],[avatar_definition])).
0.22/0.48	tff(f262,plain,(
0.22/0.48	  sF5 = $product(sK3,sF6) | (~spl8_3 | ~spl8_6)),
0.22/0.48	  inference(forward_demodulation,[],[f243,f228])).
0.22/0.48	tff(f228,plain,(
0.22/0.48	  sF5 = sF7 | ~spl8_3),
0.22/0.48	  inference(avatar_component_clause,[],[f226])).
0.22/0.48	tff(f243,plain,(
0.22/0.48	  sF7 = $product(sK3,sF6) | ~spl8_6),
0.22/0.48	  inference(avatar_component_clause,[],[f241])).
0.22/0.48	tff(f261,plain,(
0.22/0.48	  ~spl8_9),
0.22/0.48	  inference(avatar_split_clause,[],[f163,f258])).
0.22/0.48	tff(f163,plain,(
0.22/0.48	  ~$less(sK1,0)),
0.22/0.48	  inference(cnf_transformation,[],[f144])).
0.22/0.48	tff(f144,plain,(
0.22/0.48	  (power(sK0,sK1) = $product(sK3,power(sK2,sK4)) & ~$less(0,sK4) & ~$less(sK4,0) & power(sK0,sK1) != sK3) & ~$less(sK1,0)),
0.22/0.48	  inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4])],[f141,f143,f142])).
0.22/0.48	tff(f142,plain,(
0.22/0.48	  ? [X0 : $int,X1 : $int] : (? [X2 : $int,X3 : $int,X4 : $int] : (power(X0,X1) = $product(X3,power(X2,X4)) & ~$less(0,X4) & ~$less(X4,0) & power(X0,X1) != X3) & ~$less(X1,0)) => (? [X4 : $int,X3 : $int,X2 : $int] : (power(sK0,sK1) = $product(X3,power(X2,X4)) & ~$less(0,X4) & ~$less(X4,0) & power(sK0,sK1) != X3) & ~$less(sK1,0))),
0.22/0.48	  introduced(definition,[],[choice_axiom])).
0.22/0.48	tff(f143,plain,(
0.22/0.48	  ? [X4 : $int,X3 : $int,X2 : $int] : (power(sK0,sK1) = $product(X3,power(X2,X4)) & ~$less(0,X4) & ~$less(X4,0) & power(sK0,sK1) != X3) => (power(sK0,sK1) = $product(sK3,power(sK2,sK4)) & ~$less(0,sK4) & ~$less(sK4,0) & power(sK0,sK1) != sK3)),
0.22/0.48	  introduced(definition,[],[choice_axiom])).
0.22/0.48	tff(f141,plain,(
0.22/0.48	  ? [X0 : $int,X1 : $int] : (? [X2 : $int,X3 : $int,X4 : $int] : (power(X0,X1) = $product(X3,power(X2,X4)) & ~$less(0,X4) & ~$less(X4,0) & power(X0,X1) != X3) & ~$less(X1,0))),
0.22/0.48	  inference(rectify,[],[f126])).
0.22/0.48	tff(f126,plain,(
0.22/0.48	  ? [X1 : $int,X0 : $int] : (? [X2 : $int,X3 : $int,X4 : $int] : (power(X1,X0) = $product(X3,power(X2,X4)) & ~$less(0,X4) & ~$less(X4,0) & power(X1,X0) != X3) & ~$less(X0,0))),
0.22/0.48	  inference(flattening,[],[f125])).
0.22/0.48	tff(f125,plain,(
0.22/0.48	  ? [X1 : $int,X0 : $int] : (? [X2 : $int,X4 : $int,X3 : $int] : ((power(X1,X0) != X3 & ~$less(0,X4)) & (power(X1,X0) = $product(X3,power(X2,X4)) & ~$less(X4,0))) & ~$less(X0,0))),
0.22/0.48	  inference(ennf_transformation,[],[f98])).
0.22/0.48	tff(f98,plain,(
0.22/0.48	  ~! [X1 : $int,X0 : $int] : (~$less(X0,0) => ! [X2 : $int,X4 : $int,X3 : $int] : ((power(X1,X0) = $product(X3,power(X2,X4)) & ~$less(X4,0)) => (~$less(0,X4) => power(X1,X0) = X3)))),
0.22/0.48	  inference(rectify,[],[f53])).
0.22/0.48	tff(f53,plain,(
0.22/0.48	  ~! [X5 : $int,X0 : $int] : (~$less(X5,0) => ! [X9 : $int,X10 : $int,X8 : $int] : ((power(X0,X5) = $product(X10,power(X9,X8)) & ~$less(X8,0)) => (~$less(0,X8) => power(X0,X5) = X10)))),
0.22/0.48	  inference(theory_normalization,[],[f33])).
0.22/0.48	tff(f33,negated_conjecture,(
0.22/0.48	  ~! [X5 : $int,X0 : $int] : ($lesseq(0,X5) => ! [X9 : $int,X10 : $int,X8 : $int] : ((power(X0,X5) = $product(X10,power(X9,X8)) & $lesseq(0,X8)) => (~$less(0,X8) => power(X0,X5) = X10)))),
0.22/0.48	  inference(negated_conjecture,[status(cth)],[f32])).
0.22/0.48	tff(f32,conjecture,(
0.22/0.48	  ! [X5 : $int,X0 : $int] : ($lesseq(0,X5) => ! [X9 : $int,X10 : $int,X8 : $int] : ((power(X0,X5) = $product(X10,power(X9,X8)) & $lesseq(0,X8)) => (~$less(0,X8) => power(X0,X5) = X10)))),
0.22/0.48	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)).
0.22/0.48	tff(f256,plain,(
0.22/0.48	  spl8_8),
0.22/0.48	  inference(avatar_split_clause,[],[f209,f253])).
0.22/0.48	tff(f253,definition,(
0.22/0.48	  spl8_8 <=> power(sK0,sK1) = sF5),
0.22/0.48	  introduced(definition,[new_symbols(naming,[spl8_8])],[avatar_definition])).
0.22/0.48	tff(f209,definition,(
0.22/0.48	  power(sK0,sK1) = sF5),
0.22/0.48	  introduced(definition,[new_symbols(definition,[sF5])],[function_definition])).
0.22/0.48	tff(f249,plain,(
0.22/0.48	  ~spl8_7),
0.22/0.48	  inference(avatar_split_clause,[],[f165,f246])).
0.22/0.48	tff(f165,plain,(
0.22/0.48	  ~$less(sK4,0)),
0.22/0.48	  inference(cnf_transformation,[],[f144])).
0.22/0.48	tff(f244,plain,(
0.22/0.48	  spl8_6),
0.22/0.48	  inference(avatar_split_clause,[],[f211,f241])).
0.22/0.48	tff(f211,definition,(
0.22/0.48	  sF7 = $product(sK3,sF6)),
0.22/0.48	  introduced(definition,[new_symbols(definition,[sF7])],[function_definition])).
0.22/0.48	tff(f239,plain,(
0.22/0.48	  ~spl8_5),
0.22/0.48	  inference(avatar_split_clause,[],[f213,f236])).
0.22/0.48	tff(f236,definition,(
0.22/0.48	  spl8_5 <=> sF5 = sK3),
0.22/0.48	  introduced(definition,[new_symbols(naming,[spl8_5])],[avatar_definition])).
0.22/0.48	tff(f213,plain,(
0.22/0.48	  sF5 != sK3),
0.22/0.48	  inference(definition_folding,[],[f164,f209])).
0.22/0.48	tff(f164,plain,(
0.22/0.48	  power(sK0,sK1) != sK3),
0.22/0.48	  inference(cnf_transformation,[],[f144])).
0.22/0.48	tff(f234,plain,(
0.22/0.48	  ~spl8_4),
0.22/0.48	  inference(avatar_split_clause,[],[f206,f231])).
0.22/0.48	tff(f231,definition,(
0.22/0.48	  spl8_4 <=> true = false),
0.22/0.48	  introduced(definition,[new_symbols(naming,[spl8_4])],[avatar_definition])).
0.22/0.48	tff(f206,plain,(
0.22/0.48	  true != false),
0.22/0.48	  inference(cnf_transformation,[],[f7])).
0.22/0.48	tff(f7,axiom,(
0.22/0.48	  true != false),
0.22/0.48	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)).
0.22/0.48	tff(f229,plain,(
0.22/0.48	  spl8_3),
0.22/0.48	  inference(avatar_split_clause,[],[f212,f226])).
0.22/0.48	tff(f212,plain,(
0.22/0.48	  sF5 = sF7),
0.22/0.48	  inference(definition_folding,[],[f167,f211,f210,f209])).
0.22/0.48	tff(f210,definition,(
0.22/0.48	  power(sK2,sK4) = sF6),
0.22/0.48	  introduced(definition,[new_symbols(definition,[sF6])],[function_definition])).
0.71/0.48	tff(f167,plain,(
0.71/0.48	  power(sK0,sK1) = $product(sK3,power(sK2,sK4))),
0.71/0.48	  inference(cnf_transformation,[],[f144])).
0.71/0.48	tff(f224,plain,(
0.71/0.48	  spl8_2),
0.71/0.48	  inference(avatar_split_clause,[],[f210,f221])).
0.71/0.48	tff(f219,plain,(
0.71/0.48	  ~spl8_1),
0.71/0.48	  inference(avatar_split_clause,[],[f166,f216])).
0.71/0.48	tff(f166,plain,(
0.71/0.48	  ~$less(0,sK4)),
0.71/0.48	  inference(cnf_transformation,[],[f144])).
0.71/0.48	% SZS output end Proof for theBenchmark
0.71/0.48	% (13095)------------------------------
0.71/0.48	% (13095)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200)
0.71/0.48	% (13095)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
0.71/0.48	% (13095)Termination reason: Refutation
0.71/0.48	
0.71/0.48	% (13095)Time elapsed: 0.031 s
0.71/0.48	% (13095)Peak memory usage: 29 MB
0.71/0.48	% (13095)Instructions burned: 29 (million)
0.71/0.48	% (13095)------------------------------
0.71/0.48	% (13095)------------------------------
0.71/0.48	% (13081)Success in time 0.111 s
0.71/0.48	EOF