%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWW592_2 : TPTP v9.3.1. Released v6.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n014.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 01:30:53 PM UTC 2026
% Result : Theorem 3.49s 1.06s
% Output : Refutation 3.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 3
% Syntax : Number of formulae : 18 ( 9 unt; 0 typ; 1 def)
% Number of atoms : 33 ( 20 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 29 ( 14 ~; 2 |; 6 &)
% ( 1 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number arithmetic : 142 ( 6 atm; 8 fun; 123 num; 5 var)
% Number of types : 7 ( 5 usr; 1 ari; 0 dat; 0 cdt)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 6 ( 2 usr; 2 prp; 0-2 aty)
% Number of functors : 24 ( 21 usr; 12 con; 0-4 aty)
% Number of variables : 7 ( 5 !; 2 ?; 7 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
uni: $tType ).
tff(type_def_6,type,
ty: $tType ).
tff(type_def_7,type,
bool1: $tType ).
tff(type_def_8,type,
tuple02: $tType ).
tff(type_def_9,type,
t1: $tType ).
tff(func_def_0,type,
witness1: ty > uni ).
tff(func_def_1,type,
int: ty ).
tff(func_def_2,type,
real: ty ).
tff(func_def_3,type,
bool: ty ).
tff(func_def_4,type,
true1: bool1 ).
tff(func_def_5,type,
false1: bool1 ).
tff(func_def_6,type,
match_bool1: ( ty * bool1 * uni * uni ) > uni ).
tff(func_def_7,type,
tuple0: ty ).
tff(func_def_8,type,
tuple03: tuple02 ).
tff(func_def_9,type,
qtmark: ty ).
tff(func_def_12,type,
fib1: $int > $int ).
tff(func_def_17,type,
abs1: $int > $int ).
tff(func_def_21,type,
t: ty ).
tff(func_def_22,type,
mk_t1: ( $int * $int * $int * $int ) > t1 ).
tff(func_def_23,type,
a111: t1 > $int ).
tff(func_def_24,type,
a121: t1 > $int ).
tff(func_def_25,type,
a211: t1 > $int ).
tff(func_def_26,type,
a221: t1 > $int ).
tff(func_def_27,type,
mult1: ( t1 * t1 ) > t1 ).
tff(func_def_28,type,
power1: ( t1 * $int ) > t1 ).
tff(func_def_29,type,
sK0: $int ).
tff(pred_def_1,type,
sort1: ( ty * uni ) > $o ).
tff(f27,axiom,
! [X0: t1] : ( power1(X0,0) = mk_t1(1,0,0,1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',power_0) ).
tff(f34,conjecture,
! [X0: $int] :
( $lesseq(0,X0)
=> ( ( X0 = 0 )
=> ( power1(mk_t1(1,1,1,0),X0) = mk_t1($sum(1,0),0,0,1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',wP_parameter_logfib) ).
tff(f35,negated_conjecture,
~ ! [X0: $int] :
( $lesseq(0,X0)
=> ( ( X0 = 0 )
=> ( power1(mk_t1(1,1,1,0),X0) = mk_t1($sum(1,0),0,0,1) ) ) ),
inference(negated_conjecture,[status(cth)],[f34]) ).
tff(f44,plain,
~ ! [X0: $int] :
( ~ $less(X0,0)
=> ( ( X0 = 0 )
=> ( power1(mk_t1(1,1,1,0),X0) = mk_t1($sum(1,0),0,0,1) ) ) ),
inference(theory_normalization,[],[f35]) ).
tff(f65,plain,
? [X0: $int] :
( ( power1(mk_t1(1,1,1,0),X0) != mk_t1($sum(1,0),0,0,1) )
& ( X0 = 0 )
& ~ $less(X0,0) ),
inference(ennf_transformation,[],[f44]) ).
tff(f66,plain,
? [X0: $int] :
( ( power1(mk_t1(1,1,1,0),X0) != mk_t1($sum(1,0),0,0,1) )
& ~ $less(X0,0)
& ( X0 = 0 ) ),
inference(flattening,[],[f65]) ).
tff(f89,plain,
( ( mk_t1($sum(1,0),0,0,1) != power1(mk_t1(1,1,1,0),sK0) )
& ~ $less(sK0,0)
& ( 0 = sK0 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f66]) ).
tff(f118,plain,
0 = sK0,
inference(cnf_transformation,[],[f89]) ).
tff(f120,plain,
mk_t1($sum(1,0),0,0,1) != power1(mk_t1(1,1,1,0),sK0),
inference(cnf_transformation,[],[f89]) ).
tff(f128,plain,
! [X0: t1] : ( mk_t1(1,0,0,1) = power1(X0,0) ),
inference(cnf_transformation,[],[f27]) ).
tff(f143,plain,
mk_t1($sum(1,0),0,0,1) != power1(mk_t1(1,1,1,0),0),
inference(definition_unfolding,[],[f120,f118]) ).
tff(f149,plain,
mk_t1(1,0,0,1) != power1(mk_t1(1,1,1,0),0),
inference(evaluation,[],[f143]) ).
tff(f166,definition,
( spl1_3
<=> ( mk_t1(1,0,0,1) = power1(mk_t1(1,1,1,0),0) ) ),
introduced(definition,[new_symbols(definition,[spl1_3])],[avatar_definition]) ).
tff(f168,plain,
( ( mk_t1(1,0,0,1) != power1(mk_t1(1,1,1,0),0) )
| spl1_3 ),
inference(avatar_component_clause,[],[f166]) ).
tff(f169,plain,
~ spl1_3,
inference(avatar_split_clause,[],[f149,f166]) ).
tff(f194,plain,
( $false
| spl1_3 ),
inference(forward_subsumption_resolution,[],[f168,f128]) ).
tff(f195,plain,
spl1_3,
inference(avatar_contradiction_clause,[],[f194]) ).
tff(f196,plain,
$false,
inference(avatar_smt_refutation,[],[f195,f169]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWW592_2 : TPTP v9.3.1. Released v6.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.19 % Computer : n014.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Mon Sep 28 14:20:01 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.22 Running first-order theorem proving
% 0.08/0.22 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.49/1.06 % (1803409)Detected arithmetic, will pick strategies from an ALASCA-aware ARI schedule.
% 3.49/1.06 % (1803420)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=2478794961:i=33:rtra=on_2999 on theBenchmark for (2999ds/33Mi)
% 3.49/1.06 % (1803420)Instruction limit reached!
% 3.49/1.06 % (1803420)------------------------------
% 3.49/1.06 % (1803420)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.49/1.06 % (1803420)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.49/1.06 % (1803420)CaDiCaL version: 2.1.3
% 3.49/1.06 % (1803420)Termination reason: Instruction limit
% 3.49/1.06 % (1803420)Termination phase: Saturation
% 3.49/1.06 % (1803420)Time elapsed: 0.026 s
% 3.49/1.06 % (1803420)Peak memory usage: 116 MB
% 3.49/1.06 % (1803420)Instructions burned: 33 (million)
% 3.49/1.06 % (1803418)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=2994126027:i=4:rtra=on_2999 on theBenchmark for (2999ds/4Mi)
% 3.49/1.06 % (1803419)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=407573951:i=46:rtra=on_2999 on theBenchmark for (2999ds/46Mi)
% 3.49/1.06 % (1803415)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=2871081282:i=307:kws=precedence:nm=0:rtra=on_2999 on theBenchmark for (2999ds/307Mi)
% 3.49/1.06 % (1803417)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=3609425228:s2a=on:i=7:rtra=on:inst=on_2999 on theBenchmark for (2999ds/7Mi)
% 3.49/1.06 % (1803414)dis+1002_16:1_to=lpo:sil=64000:sas=z3:si=on:norm_ineq=on:gve=force:uwa=one_side_constant:random_seed=921030917:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_2999 on theBenchmark for (2999ds/12Mi)
% 3.49/1.06 % (1803416)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=2282511118:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_2999 on theBenchmark for (2999ds/201Mi)
% 3.49/1.06 % (1803418)Instruction limit reached!
% 3.49/1.06 % (1803418)------------------------------
% 3.49/1.06 % (1803418)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.49/1.06 % (1803418)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.49/1.06 % (1803418)CaDiCaL version: 2.1.3
% 3.49/1.06 % (1803418)Termination reason: Instruction limit
% 3.49/1.06 % (1803418)Termination phase: Saturation
% 3.49/1.06 % (1803418)Time elapsed: 0.003 s
% 3.49/1.06 % (1803418)Peak memory usage: 88 MB
% 3.49/1.06 % (1803418)Instructions burned: 6 (million)
% 3.49/1.06 % (1803417)Instruction limit reached!
% 3.49/1.06 % (1803417)------------------------------
% 3.49/1.06 % (1803417)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.49/1.06 % (1803417)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.49/1.06 % (1803417)CaDiCaL version: 2.1.3
% 3.49/1.06 % (1803417)Termination reason: Instruction limit
% 3.49/1.06 % (1803417)Termination phase: Saturation
% 3.49/1.06 % (1803417)Time elapsed: 0.005 s
% 3.49/1.06 % (1803417)Peak memory usage: 88 MB
% 3.49/1.06 % (1803417)Instructions burned: 7 (million)
% 3.49/1.06 % (1803414)Instruction limit reached!
% 3.49/1.06 % (1803414)------------------------------
% 3.49/1.06 % (1803414)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.49/1.06 % (1803414)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.49/1.06 % (1803414)CaDiCaL version: 2.1.3
% 3.49/1.06 % (1803414)Termination reason: Instruction limit
% 3.49/1.06 % (1803414)Termination phase: Saturation
% 3.49/1.06 % (1803414)Time elapsed: 0.030 s
% 3.49/1.06 % (1803414)Peak memory usage: 115 MB
% 3.49/1.06 % (1803414)Instructions burned: 13 (million)
% 3.49/1.06 % (1803419)First to succeed.
% 3.49/1.06 % (1803419)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1803409"
% 3.49/1.06 % (1803415)Also succeeded, but the first one will report.
% 3.49/1.06 % (1803428)dis+11_3_anc=none:drc=ordering:si=on:urr=ec_only:bce=on:tha=off:sac=on:random_seed=649547916:st=5:i=14:sd=10:rtra=on:ss=axioms:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 3.49/1.06 % (1803428)Also succeeded, but the first one will report.
% 3.49/1.06 % (1803416)Instruction limit reached!
% 3.49/1.06 % (1803416)------------------------------
% 3.49/1.06 % (1803416)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.49/1.06 % (1803416)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.49/1.06 % (1803416)CaDiCaL version: 2.1.3
% 3.49/1.06 % (1803416)Termination reason: Instruction limit
% 3.49/1.06 % (1803416)Termination phase: Saturation
% 3.49/1.06 % (1803416)Time elapsed: 0.116 s
% 3.49/1.06 % (1803416)Peak memory usage: 116 MB
% 3.49/1.06 % (1803416)Instructions burned: 202 (million)
% 3.49/1.06 % (1803429)dis+1011_2:1_to=kbo:sil=128000:tgt=full:fde=none:si=on:norm_ineq=on:spb=goal_then_units:tha=some:nwc=2:sac=on:random_seed=2913838497:i=29:thsqd=64:nm=0:thsqc=8:rtra=on:thsq=on:ev=off_2998 on theBenchmark for (2998ds/29Mi)
% 3.49/1.06 % (1803430)ott+21_1024_to=lakbo:sil=128000:bsd=on:si=on:alasca=on:uwa=alasca_main:nwc=0.5:random_seed=3996295794:cond=on:i=16:fgj=on:ep=RS:asg=force:nm=10:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/16Mi)
% 3.49/1.06 % (1803430)Instruction limit reached!
% 3.49/1.06 % (1803430)------------------------------
% 3.49/1.06 % (1803430)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.49/1.06 % (1803430)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.49/1.06 % (1803430)CaDiCaL version: 2.1.3
% 3.49/1.06 % (1803430)Termination reason: Instruction limit
% 3.49/1.06 % (1803430)Termination phase: Saturation
% 3.49/1.06 % (1803430)Time elapsed: 0.009 s
% 3.49/1.06 % (1803430)Peak memory usage: 88 MB
% 3.49/1.06 % (1803430)Instructions burned: 16 (million)
% 3.49/1.06 % (1803429)Instruction limit reached!
% 3.49/1.06 % (1803429)------------------------------
% 3.49/1.06 % (1803429)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.49/1.06 % (1803429)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.49/1.06 % (1803429)CaDiCaL version: 2.1.3
% 3.49/1.06 % (1803429)Termination reason: Instruction limit
% 3.49/1.06 % (1803429)Termination phase: Saturation
% 3.49/1.06 % (1803429)Time elapsed: 0.019 s
% 3.49/1.06 % (1803429)Peak memory usage: 88 MB
% 3.49/1.06 % (1803429)Instructions burned: 29 (million)
% 3.49/1.06 % (1803431)dis+1011_1_prc=on:drc=off:si=on:sac=on:random_seed=1405774926:i=24:canc=force:rtra=on_2998 on theBenchmark for (2998ds/24Mi)
% 3.49/1.06 % (1803431)Also succeeded, but the first one will report.
% 3.49/1.06 % (1803433)ott+1010_8_to=lpo:sil=128000:si=on:norm_ineq=on:sp=unary_frequency:sos=on:gve=cautious:spb=goal_then_units:uwa=alasca_main_floor:tha=some:random_seed=502542917:i=27:canc=cautious:fsr=off:rtra=on_2997 on theBenchmark for (2997ds/27Mi)
% 3.49/1.06 % (1803433)Also succeeded, but the first one will report.
% 3.49/1.06 % (1803437)ott+1002_1_si=on:sp=occurrence:spb=goal:lcm=predicate:random_seed=3732226470:i=2:bd=preordered:nm=2:ins=3:rtra=on:inst=on:tar=off_2997 on theBenchmark for (2997ds/2Mi)
% 3.49/1.06 % (1803436)dis+1002_24_to=kbo:sil=128000:si=on:random_seed=3722422068:i=85:gtgl=4:rtra=on:gtg=exists_sym_2997 on theBenchmark for (2997ds/85Mi)
% 3.49/1.06 % (1803437)Instruction limit reached!
% 3.49/1.06 % (1803437)------------------------------
% 3.49/1.06 % (1803437)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.49/1.06 % (1803437)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.49/1.06 % (1803437)CaDiCaL version: 2.1.3
% 3.49/1.06 % (1803437)Termination reason: Instruction limit
% 3.49/1.06 % (1803437)Termination phase: Property scanning
% 3.49/1.06 % (1803437)Time elapsed: 0.002 s
% 3.49/1.06 % (1803437)Peak memory usage: 86 MB
% 3.49/1.06 % (1803437)Instructions burned: 3 (million)
% 3.49/1.06 % (1803419)Refutation found. Thanks to Tanya!
% 3.49/1.06 % SZS status Theorem for theBenchmark
% 3.49/1.06 % SZS output start Proof for theBenchmark
% See solution above
% 3.49/1.06 % (1803419)------------------------------
% 3.49/1.06 % (1803419)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.49/1.06 % (1803419)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.49/1.06 % (1803419)CaDiCaL version: 2.1.3
% 3.49/1.06 % (1803419)Termination reason: Refutation
% 3.49/1.06 % (1803419)Time elapsed: 0.036 s
% 3.49/1.06 % (1803419)Peak memory usage: 116 MB
% 3.49/1.06 % (1803419)Instructions burned: 19 (million)
% 3.49/1.06 % (1803419)------------------------------
% 3.49/1.06 % (1803419)------------------------------
% 3.49/1.06 % (1803409)Success in time 0.438 s
% 3.49/1.06 % Vampire exiting
%------------------------------------------------------------------------------