%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : DAT007_1 : TPTP v9.3.1. Released v5.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n015.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 09:47:05 AM UTC 2026
% Result : Theorem 2.71s 1.16s
% Output : Refutation 2.71s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 3
% Syntax : Number of formulae : 23 ( 7 unt; 0 typ; 0 def)
% Number of atoms : 49 ( 34 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 36 ( 10 ~; 18 |; 5 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 5 ( 1 avg)
% Number arithmetic : 138 ( 14 atm; 0 fun; 94 num; 30 var)
% Number of types : 2 ( 1 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 : 13 ( 4 usr; 11 con; 0-3 aty)
% Number of variables : 46 ( 41 !; 5 ?; 46 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
array: $tType ).
tff(func_def_0,type,
read: ( array * $int ) > $int ).
tff(func_def_1,type,
write: ( array * $int * $int ) > array ).
tff(func_def_15,type,
sK0: array ).
tff(func_def_16,type,
sK1: array ).
tff(f1,axiom,
! [X2: $int,X1: $int,X0: array] : ( read(write(X0,X1,X2),X1) = X2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1) ).
tff(f2,axiom,
! [X3: $int,X2: $int,X1: $int,X0: array] :
( ( X1 = X2 )
| ( read(write(X0,X1,X3),X2) = read(X0,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).
tff(f3,conjecture,
! [X1: array,X0: array] :
( ( X0 = write(write(write(write(X1,3,33),4,444),5,55),4,44) )
=> ? [X2: $int] :
( $less(read(X0,X2),40)
& $less(30,read(X0,X2)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
tff(f4,negated_conjecture,
~ ! [X1: array,X0: array] :
( ( X0 = write(write(write(write(X1,3,33),4,444),5,55),4,44) )
=> ? [X2: $int] :
( $less(read(X0,X2),40)
& $less(30,read(X0,X2)) ) ),
inference(negated_conjecture,[status(cth)],[f3]) ).
tff(f17,plain,
~ ! [X1: array,X0: array] :
( ( write(write(write(write(X0,3,33),4,444),5,55),4,44) = X1 )
=> ? [X2: $int] :
( $less(30,read(X1,X2))
& $less(read(X1,X2),40) ) ),
inference(rectify,[],[f4]) ).
tff(f18,plain,
! [X1: $int,X0: $int,X3: array,X2: $int] :
( ( X1 = X2 )
| ( read(X3,X1) = read(write(X3,X2,X0),X1) ) ),
inference(rectify,[],[f2]) ).
tff(f19,plain,
! [X1: $int,X0: $int,X2: array] : ( read(write(X2,X1,X0),X1) = X0 ),
inference(rectify,[],[f1]) ).
tff(f20,plain,
? [X0: array,X1: array] :
( ! [X2: $int] :
( ~ $less(30,read(X1,X2))
| ~ $less(read(X1,X2),40) )
& ( write(write(write(write(X0,3,33),4,444),5,55),4,44) = X1 ) ),
inference(ennf_transformation,[],[f17]) ).
tff(f21,plain,
( ! [X2: $int] :
( ~ $less(30,read(sK1,X2))
| ~ $less(read(sK1,X2),40) )
& ( sK1 = write(write(write(write(sK0,3,33),4,444),5,55),4,44) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X0,sK0),skolemize(X1,sK1)],[f20]) ).
tff(f22,plain,
! [X0: $int,X1: $int,X2: array] : ( read(write(X2,X0,X1),X0) = X1 ),
inference(rectify,[],[f19]) ).
tff(f23,plain,
! [X0: $int,X1: $int,X2: array,X3: $int] :
( ( X0 = X3 )
| ( read(write(X2,X3,X1),X0) = read(X2,X0) ) ),
inference(rectify,[],[f18]) ).
tff(f24,plain,
sK1 = write(write(write(write(sK0,3,33),4,444),5,55),4,44),
inference(cnf_transformation,[],[f21]) ).
tff(f25,plain,
! [X2: $int] :
( ~ $less(30,read(sK1,X2))
| ~ $less(read(sK1,X2),40) ),
inference(cnf_transformation,[],[f21]) ).
tff(f26,plain,
! [X2: array,X0: $int,X1: $int] : ( read(write(X2,X0,X1),X0) = X1 ),
inference(cnf_transformation,[],[f22]) ).
tff(f27,plain,
! [X2: array,X3: $int,X0: $int,X1: $int] :
( ( read(write(X2,X3,X1),X0) = read(X2,X0) )
| ( X0 = X3 ) ),
inference(cnf_transformation,[],[f23]) ).
tff(f271,plain,
! [X0: $int] :
( ( read(sK1,X0) = read(write(write(write(sK0,3,33),4,444),5,55),X0) )
| ( 4 = X0 ) ),
inference(superposition,[],[f27,f24]) ).
tff(f273,plain,
! [X0: $int] :
( ( read(write(write(sK0,3,33),4,444),X0) = read(sK1,X0) )
| ( 4 = X0 )
| ( 5 = X0 ) ),
inference(superposition,[],[f271,f27]) ).
tff(f314,plain,
! [X0: $int] :
( ( 4 = X0 )
| ( read(sK1,X0) = read(write(sK0,3,33),X0) )
| ( 4 = X0 )
| ( 5 = X0 ) ),
inference(superposition,[],[f273,f27]) ).
tff(f316,plain,
! [X0: $int] :
( ( read(sK1,X0) = read(write(sK0,3,33),X0) )
| ( 5 = X0 )
| ( 4 = X0 ) ),
inference(duplicate_literal_removal,[],[f314]) ).
tff(f318,plain,
( ( 3 = 5 )
| ( 33 = read(sK1,3) )
| ( 3 = 4 ) ),
inference(superposition,[],[f316,f26]) ).
tff(f322,plain,
33 = read(sK1,3),
inference(evaluation,[],[f318]) ).
tff(f324,plain,
( ~ $less(30,33)
| ~ $less(33,40) ),
inference(superposition,[],[f25,f322]) ).
tff(f325,plain,
$false,
inference(evaluation,[],[f324]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : DAT007_1 : TPTP v9.3.1. Released v5.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.19 % Computer : n015.cluster.edu
% 0.07/0.19 % Model : x86_64 x86_64
% 0.07/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.19 % Memory : 8046.5625MB
% 0.07/0.19 % OS : Linux 6.8.0-71-generic
% 0.07/0.19 % CPULimit : 300
% 0.07/0.19 % WCLimit : 300
% 0.07/0.19 % DateTime : Tue Sep 29 00:08:32 UTC 2026
% 0.07/0.19 % CPUTime :
% 0.07/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.23 Running first-order theorem proving
% 0.07/0.23 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
% 2.71/1.16 % (3163564)Detected arithmetic, will pick strategies from an ALASCA-aware ARI schedule.
% 2.71/1.16 % (3163571)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=2855133051:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_2999 on theBenchmark for (2999ds/201Mi)
% 2.71/1.16 % (3163571)First to succeed.
% 2.71/1.16 % (3163571)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3163564"
% 2.71/1.16 % (3163575)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=2760622956:i=33:rtra=on_2999 on theBenchmark for (2999ds/33Mi)
% 2.71/1.16 % (3163574)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=2072154749:i=46:rtra=on_2999 on theBenchmark for (2999ds/46Mi)
% 2.71/1.16 % (3163572)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=1248359687:s2a=on:i=7:rtra=on:inst=on_2999 on theBenchmark for (2999ds/7Mi)
% 2.71/1.16 % (3163569)dis+1002_16:1_to=lpo:sil=64000:sas=z3:si=on:norm_ineq=on:gve=force:uwa=one_side_constant:random_seed=3084427672:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_2999 on theBenchmark for (2999ds/12Mi)
% 2.71/1.16 % (3163573)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=2920566674:i=4:rtra=on_2999 on theBenchmark for (2999ds/4Mi)
% 2.71/1.16 % (3163570)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=1733565023:i=307:kws=precedence:nm=0:rtra=on_2999 on theBenchmark for (2999ds/307Mi)
% 2.71/1.16 % (3163573)Instruction limit reached!
% 2.71/1.16 % (3163573)------------------------------
% 2.71/1.16 % (3163573)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.71/1.16 % (3163573)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.71/1.16 % (3163573)CaDiCaL version: 2.1.3
% 2.71/1.16 % (3163573)Termination reason: Instruction limit
% 2.71/1.16 % (3163573)Termination phase: Saturation
% 2.71/1.16 % (3163573)Time elapsed: 0.004 s
% 2.71/1.16 % (3163573)Peak memory usage: 88 MB
% 2.71/1.16 % (3163573)Instructions burned: 5 (million)
% 2.71/1.16 % (3163572)Instruction limit reached!
% 2.71/1.16 % (3163572)------------------------------
% 2.71/1.16 % (3163572)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.71/1.16 % (3163572)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.71/1.16 % (3163572)CaDiCaL version: 2.1.3
% 2.71/1.16 % (3163572)Termination reason: Instruction limit
% 2.71/1.16 % (3163572)Termination phase: Saturation
% 2.71/1.16 % (3163572)Time elapsed: 0.005 s
% 2.71/1.16 % (3163572)Peak memory usage: 88 MB
% 2.71/1.16 % (3163572)Instructions burned: 8 (million)
% 2.71/1.16 % (3163569)Instruction limit reached!
% 2.71/1.16 % (3163569)------------------------------
% 2.71/1.16 % (3163569)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.71/1.16 % (3163569)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.71/1.16 % (3163569)CaDiCaL version: 2.1.3
% 2.71/1.16 % (3163569)Termination reason: Instruction limit
% 2.71/1.16 % (3163569)Termination phase: Saturation
% 2.71/1.16 % (3163569)Time elapsed: 0.030 s
% 2.71/1.16 % (3163569)Peak memory usage: 115 MB
% 2.71/1.16 % (3163569)Instructions burned: 13 (million)
% 2.71/1.16 % (3163574)Also succeeded, but the first one will report.
% 2.71/1.16 % (3163570)Also succeeded, but the first one will report.
% 2.71/1.16 % (3163575)Instruction limit reached!
% 2.71/1.16 % (3163575)------------------------------
% 2.71/1.16 % (3163575)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.71/1.16 % (3163575)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.71/1.16 % (3163575)CaDiCaL version: 2.1.3
% 2.71/1.16 % (3163575)Termination reason: Instruction limit
% 2.71/1.16 % (3163575)Termination phase: Saturation
% 2.71/1.16 % (3163575)Time elapsed: 0.047 s
% 2.71/1.16 % (3163575)Peak memory usage: 115 MB
% 2.71/1.16 % (3163575)Instructions burned: 34 (million)
% 2.71/1.16 % (3163571)Refutation found. Thanks to Tanya!
% 2.71/1.16 % SZS status Theorem for theBenchmark
% 2.71/1.16 % SZS output start Proof for theBenchmark
% See solution above
% 2.71/1.16 % (3163571)------------------------------
% 2.71/1.16 % (3163571)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.71/1.16 % (3163571)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.71/1.16 % (3163571)CaDiCaL version: 2.1.3
% 2.71/1.16 % (3163571)Termination reason: Refutation
% 2.71/1.16 % (3163571)Time elapsed: 0.023 s
% 2.71/1.16 % (3163571)Peak memory usage: 113 MB
% 2.71/1.16 % (3163571)Instructions burned: 20 (million)
% 2.71/1.16 % (3163571)------------------------------
% 2.71/1.16 % (3163571)------------------------------
% 2.71/1.16 % (3163564)Success in time 0.291 s
% 2.71/1.16 % Vampire exiting
%------------------------------------------------------------------------------