%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : DAT060_1 : TPTP v9.3.1. Released v5.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n006.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 09:47:12 AM UTC 2026
% Result : Theorem 3.61s 1.21s
% Output : Refutation 3.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 3
% Syntax : Number of formulae : 18 ( 6 unt; 0 typ; 0 def)
% Number of atoms : 30 ( 20 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 25 ( 13 ~; 7 |; 3 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number arithmetic : 30 ( 9 atm; 0 fun; 0 num; 21 var)
% Number of types : 3 ( 2 usr; 1 ari; 0 dat; 0 cdt)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 3 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-3 aty)
% Number of variables : 41 ( 33 !; 8 ?; 41 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
data: $tType ).
tff(type_def_6,type,
array: $tType ).
tff(func_def_0,type,
mkarray: array ).
tff(func_def_1,type,
none: data ).
tff(func_def_2,type,
put: ( array * $int * data ) > array ).
tff(func_def_3,type,
get: ( array * $int ) > data ).
tff(func_def_8,type,
sK0: data ).
tff(func_def_9,type,
sK1: array ).
tff(func_def_10,type,
sK2: $int ).
tff(func_def_11,type,
sK3: $int ).
tff(func_def_12,type,
sK4: ( array * array ) > $int ).
tff(f3,axiom,
! [X3: $int,X1: data,X0: $int,X2: array] :
( ( X3 != X0 )
=> ( get(put(X2,X0,X1),X3) = get(X2,X3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_19) ).
tff(f6,conjecture,
! [X2: $int,X1: array,X0: data,X3: $int] :
( ( get(put(X1,X3,X0),X2) = get(X1,X2) )
| ~ $less(X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',th_lem_6) ).
tff(f7,negated_conjecture,
~ ! [X2: $int,X1: array,X0: data,X3: $int] :
( ( get(put(X1,X3,X0),X2) = get(X1,X2) )
| ~ $less(X2,X3) ),
inference(negated_conjecture,[status(cth)],[f6]) ).
tff(f13,plain,
! [X0: $int] : ~ $less(X0,X0),
introduced(definition,[],[tha_non-reflexivity]) ).
tff(f20,plain,
~ ! [X3: $int,X2: data,X1: array,X0: $int] :
( ~ $less(X0,X3)
| ( get(put(X1,X3,X2),X0) = get(X1,X0) ) ),
inference(rectify,[],[f7]) ).
tff(f22,plain,
! [X3: array,X1: data,X0: $int,X2: $int] :
( ( X0 != X2 )
=> ( get(put(X3,X2,X1),X0) = get(X3,X0) ) ),
inference(rectify,[],[f3]) ).
tff(f24,plain,
! [X2: $int,X3: array,X1: data,X0: $int] :
( ( get(put(X3,X2,X1),X0) = get(X3,X0) )
| ( X0 = X2 ) ),
inference(ennf_transformation,[],[f22]) ).
tff(f25,plain,
? [X2: data,X1: array,X0: $int,X3: $int] :
( $less(X0,X3)
& ( get(put(X1,X3,X2),X0) != get(X1,X0) ) ),
inference(ennf_transformation,[],[f20]) ).
tff(f26,plain,
! [X0: $int,X1: array,X2: data,X3: $int] :
( ( get(X1,X3) = get(put(X1,X0,X2),X3) )
| ( X0 = X3 ) ),
inference(rectify,[],[f24]) ).
tff(f27,plain,
? [X0: data,X1: array,X2: $int,X3: $int] :
( $less(X2,X3)
& ( get(X1,X2) != get(put(X1,X3,X0),X2) ) ),
inference(rectify,[],[f25]) ).
tff(f28,plain,
( $less(sK2,sK3)
& ( get(put(sK1,sK3,sK0),sK2) != get(sK1,sK2) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3)],[f27]) ).
tff(f34,plain,
! [X2: data,X3: $int,X0: $int,X1: array] :
( ( get(X1,X3) = get(put(X1,X0,X2),X3) )
| ( X0 = X3 ) ),
inference(cnf_transformation,[],[f26]) ).
tff(f35,plain,
get(put(sK1,sK3,sK0),sK2) != get(sK1,sK2),
inference(cnf_transformation,[],[f28]) ).
tff(f36,plain,
$less(sK2,sK3),
inference(cnf_transformation,[],[f28]) ).
tff(f135,plain,
( ( get(sK1,sK2) != get(sK1,sK2) )
| ( sK2 = sK3 ) ),
inference(superposition,[],[f35,f34]) ).
tff(f151,plain,
sK2 = sK3,
inference(trivial_inequality_removal,[],[f135]) ).
tff(f163,plain,
$less(sK2,sK2),
inference(superposition,[],[f36,f151]) ).
tff(f165,plain,
$false,
inference(forward_subsumption_resolution,[],[f163,f13]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : DAT060_1 : TPTP v9.3.1. Released v5.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.18 % Computer : n006.cluster.edu
% 0.09/0.18 % Model : x86_64 x86_64
% 0.09/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.18 % Memory : 8046.5625MB
% 0.09/0.18 % OS : Linux 6.8.0-71-generic
% 0.09/0.18 % CPULimit : 300
% 0.09/0.18 % WCLimit : 300
% 0.09/0.18 % DateTime : Tue Sep 29 00:07:10 UTC 2026
% 0.09/0.18 % CPUTime :
% 0.09/0.18 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.21 Running first-order theorem proving
% 0.09/0.21 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.61/1.21 % (329765)Detected arithmetic, will pick strategies from an ALASCA-aware ARI schedule.
% 3.61/1.21 % (329776)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=2361167123:i=33:rtra=on_2999 on theBenchmark for (2999ds/33Mi)
% 3.61/1.21 % (329776)Instruction limit reached!
% 3.61/1.21 % (329776)------------------------------
% 3.61/1.21 % (329776)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.61/1.21 % (329776)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.61/1.21 % (329776)CaDiCaL version: 2.1.3
% 3.61/1.21 % (329776)Termination reason: Instruction limit
% 3.61/1.21 % (329776)Termination phase: Saturation
% 3.61/1.21 % (329776)Time elapsed: 0.028 s
% 3.61/1.21 % (329776)Peak memory usage: 116 MB
% 3.61/1.21 % (329776)Instructions burned: 33 (million)
% 3.61/1.21 % (329775)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=850527338:i=46:rtra=on_2999 on theBenchmark for (2999ds/46Mi)
% 3.61/1.21 % (329771)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=1294747081:i=307:kws=precedence:nm=0:rtra=on_2999 on theBenchmark for (2999ds/307Mi)
% 3.61/1.21 % (329772)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=487291376:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_2999 on theBenchmark for (2999ds/201Mi)
% 3.61/1.21 % (329770)dis+1002_16:1_to=lpo:sil=64000:sas=z3:si=on:norm_ineq=on:gve=force:uwa=one_side_constant:random_seed=1733378214:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_2999 on theBenchmark for (2999ds/12Mi)
% 3.61/1.21 % (329773)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=550737453:s2a=on:i=7:rtra=on:inst=on_2999 on theBenchmark for (2999ds/7Mi)
% 3.61/1.21 % (329774)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=646298696:i=4:rtra=on_2999 on theBenchmark for (2999ds/4Mi)
% 3.61/1.21 % (329773)First to succeed.
% 3.61/1.21 % (329774)Instruction limit reached!
% 3.61/1.21 % (329774)------------------------------
% 3.61/1.21 % (329774)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.61/1.21 % (329774)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.61/1.21 % (329774)CaDiCaL version: 2.1.3
% 3.61/1.21 % (329774)Termination reason: Instruction limit
% 3.61/1.21 % (329774)Termination phase: Saturation
% 3.61/1.21 % (329774)Time elapsed: 0.004 s
% 3.61/1.21 % (329774)Peak memory usage: 88 MB
% 3.61/1.21 % (329774)Instructions burned: 5 (million)
% 3.61/1.21 % (329773)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-329765"
% 3.61/1.21 % (329770)Refutation not found, incomplete strategy
% 3.61/1.21 % (329770)------------------------------
% 3.61/1.21 % (329770)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.61/1.21 % (329770)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.61/1.21 % (329770)CaDiCaL version: 2.1.3
% 3.61/1.21 % (329770)Termination reason: Refutation not found, incomplete strategy
% 3.61/1.21 % (329770)Time elapsed: 0.032 s
% 3.61/1.21 % (329770)Peak memory usage: 116 MB
% 3.61/1.21 % (329770)Instructions burned: 10 (million)
% 3.61/1.21 % (329775)Also succeeded, but the first one will report.
% 3.61/1.21 % (329771)Also succeeded, but the first one will report.
% 3.61/1.21 % (329772)Also succeeded, but the first one will report.
% 3.61/1.21 % (329778)dis+11_3_anc=none:drc=ordering:si=on:urr=ec_only:bce=on:tha=off:sac=on:random_seed=3809261306:st=5:i=14:sd=10:rtra=on:ss=axioms:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 3.61/1.21 % (329778)Instruction limit reached!
% 3.61/1.21 % (329778)------------------------------
% 3.61/1.21 % (329778)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.61/1.21 % (329778)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.61/1.21 % (329778)CaDiCaL version: 2.1.3
% 3.61/1.21 % (329778)Termination reason: Instruction limit
% 3.61/1.21 % (329778)Termination phase: Saturation
% 3.61/1.21 % (329778)Time elapsed: 0.006 s
% 3.61/1.21 % (329778)Peak memory usage: 88 MB
% 3.61/1.21 % (329778)Instructions burned: 16 (million)
% 3.61/1.21 % (329785)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=3021698070:i=29:thsqd=64:nm=0:thsqc=8:rtra=on:thsq=on:ev=off_2998 on theBenchmark for (2998ds/29Mi)
% 3.61/1.21 % (329785)Also succeeded, but the first one will report.
% 3.61/1.21 % (329787)ott+21_1024_to=lakbo:sil=128000:bsd=on:si=on:alasca=on:uwa=alasca_main:nwc=0.5:random_seed=2930250872:cond=on:i=16:fgj=on:ep=RS:asg=force:nm=10:rtra=on:rawr=on_2997 on theBenchmark for (2997ds/16Mi)
% 3.61/1.21 % (329787)Refutation not found, incomplete strategy
% 3.61/1.21 % (329787)------------------------------
% 3.61/1.21 % (329787)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.61/1.21 % (329787)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.61/1.21 % (329787)CaDiCaL version: 2.1.3
% 3.61/1.21 % (329787)Termination reason: Refutation not found, incomplete strategy
% 3.61/1.21 % (329787)Time elapsed: 0.003 s
% 3.61/1.21 % (329787)Peak memory usage: 90 MB
% 3.61/1.21 % (329787)Instructions burned: 7 (million)
% 3.61/1.21 % (329773)Refutation found. Thanks to Tanya!
% 3.61/1.21 % SZS status Theorem for theBenchmark
% 3.61/1.21 % SZS output start Proof for theBenchmark
% See solution above
% 3.61/1.21 % (329773)------------------------------
% 3.61/1.21 % (329773)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.61/1.21 % (329773)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.61/1.21 % (329773)CaDiCaL version: 2.1.3
% 3.61/1.21 % (329773)Termination reason: Refutation
% 3.61/1.21 % (329773)Time elapsed: 0.004 s
% 3.61/1.21 % (329773)Peak memory usage: 89 MB
% 3.61/1.21 % (329773)Instructions burned: 4 (million)
% 3.61/1.21 % (329773)------------------------------
% 3.61/1.21 % (329773)------------------------------
% 3.61/1.21 % (329765)Success in time 0.432 s
% 3.61/1.21 % Vampire exiting
%------------------------------------------------------------------------------