%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : DAT015_1 : TPTP v9.3.1. Released v5.0.0.
% 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 09:47:06 AM UTC 2026
% Result : Theorem 3.53s 1.25s
% Output : Refutation 3.53s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 1
% Syntax : Number of formulae : 12 ( 3 unt; 0 typ; 0 def)
% Number of atoms : 37 ( 18 equ)
% Maximal formula atoms : 4 ( 3 avg)
% Number of connectives : 34 ( 9 ~; 12 |; 7 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number arithmetic : 84 ( 18 atm; 9 fun; 41 num; 16 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 : 4 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 3 usr; 5 con; 0-3 aty)
% Number of variables : 22 ( 16 !; 6 ?; 22 :)
% 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_10,type,
sK0: array ).
tff(f3,conjecture,
! [X0: array] :
( ! [X1: $int] :
( ( $lesseq(20,X1)
& $lesseq(X1,30) )
=> ( read(X0,X1) = $sum(X1,25) ) )
=> ? [X2: $int] : ( read(X0,X2) = 50 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
tff(f4,negated_conjecture,
~ ! [X0: array] :
( ! [X1: $int] :
( ( $lesseq(20,X1)
& $lesseq(X1,30) )
=> ( read(X0,X1) = $sum(X1,25) ) )
=> ? [X2: $int] : ( read(X0,X2) = 50 ) ),
inference(negated_conjecture,[status(cth)],[f3]) ).
tff(f5,plain,
~ ! [X0: array] :
( ! [X1: $int] :
( ( ~ $less(30,X1)
& ~ $less(X1,20) )
=> ( read(X0,X1) = $sum(X1,25) ) )
=> ? [X2: $int] : ( read(X0,X2) = 50 ) ),
inference(theory_normalization,[],[f4]) ).
tff(f19,plain,
? [X0: array] :
( ! [X2: $int] : ( read(X0,X2) != 50 )
& ! [X1: $int] :
( ( read(X0,X1) = $sum(X1,25) )
| $less(30,X1)
| $less(X1,20) ) ),
inference(ennf_transformation,[],[f5]) ).
tff(f20,plain,
? [X0: array] :
( ! [X2: $int] : ( read(X0,X2) != 50 )
& ! [X1: $int] :
( $less(X1,20)
| ( read(X0,X1) = $sum(X1,25) )
| $less(30,X1) ) ),
inference(flattening,[],[f19]) ).
tff(f22,plain,
? [X0: array] :
( ! [X1: $int] : ( read(X0,X1) != 50 )
& ! [X2: $int] :
( $less(X2,20)
| ( read(X0,X2) = $sum(X2,25) )
| $less(30,X2) ) ),
inference(rectify,[],[f20]) ).
tff(f23,plain,
( ! [X1: $int] : ( 50 != read(sK0,X1) )
& ! [X2: $int] :
( $less(X2,20)
| ( $sum(X2,25) = read(sK0,X2) )
| $less(30,X2) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f22]) ).
tff(f26,plain,
! [X2: $int] :
( ( $sum(X2,25) = read(sK0,X2) )
| $less(30,X2)
| $less(X2,20) ),
inference(cnf_transformation,[],[f23]) ).
tff(f27,plain,
! [X1: $int] : ( 50 != read(sK0,X1) ),
inference(cnf_transformation,[],[f23]) ).
tff(f44,plain,
( $less(30,25)
| ( read(sK0,25) = $sum(25,25) )
| $less(25,20) ),
inference(instantiation,[],[f26]) ).
tff(f48,plain,
50 = read(sK0,25),
inference(evaluation,[],[f44]) ).
tff(f52,plain,
$false,
inference(forward_subsumption_resolution,[],[f48,f27]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : DAT015_1 : TPTP v9.3.1. Released v5.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.17 % Computer : n014.cluster.edu
% 0.09/0.17 % Model : x86_64 x86_64
% 0.09/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.17 % Memory : 8046.5625MB
% 0.09/0.17 % OS : Linux 6.8.0-71-generic
% 0.09/0.17 % CPULimit : 300
% 0.09/0.17 % WCLimit : 300
% 0.09/0.17 % DateTime : Tue Sep 29 00:05:16 UTC 2026
% 0.09/0.17 % CPUTime :
% 0.09/0.17 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.20 Running first-order theorem proving
% 0.09/0.20 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
% 3.53/1.24 % (2301088)Detected arithmetic, will pick strategies from an ALASCA-aware ARI schedule.
% 3.53/1.24 % (2301093)dis+1002_16:1_to=lpo:sil=64000:sas=z3:si=on:norm_ineq=on:gve=force:uwa=one_side_constant:random_seed=1628335451:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_2999 on theBenchmark for (2999ds/12Mi)
% 3.53/1.24 % (2301093)Refutation not found, incomplete strategy
% 3.53/1.24 % (2301093)------------------------------
% 3.53/1.24 % (2301093)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.53/1.24 % (2301093)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.53/1.24 % (2301093)CaDiCaL version: 2.1.3
% 3.53/1.24 % (2301093)Termination reason: Refutation not found, incomplete strategy
% 3.53/1.24 % (2301093)Time elapsed: 0.018 s
% 3.53/1.24 % (2301093)Peak memory usage: 113 MB
% 3.53/1.24 % (2301093)Instructions burned: 7 (million)
% 3.53/1.24 % (2301098)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=438992625:i=46:rtra=on_2999 on theBenchmark for (2999ds/46Mi)
% 3.53/1.24 % (2301099)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=2319741678:i=33:rtra=on_2999 on theBenchmark for (2999ds/33Mi)
% 3.53/1.24 % (2301094)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=3515897510:i=307:kws=precedence:nm=0:rtra=on_2999 on theBenchmark for (2999ds/307Mi)
% 3.53/1.24 % (2301096)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=4150997433:s2a=on:i=7:rtra=on:inst=on_2999 on theBenchmark for (2999ds/7Mi)
% 3.53/1.24 % (2301097)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=406997855:i=4:rtra=on_2999 on theBenchmark for (2999ds/4Mi)
% 3.53/1.24 % (2301095)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=4128409209:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_2999 on theBenchmark for (2999ds/201Mi)
% 3.53/1.24 % (2301096)First to succeed.
% 3.53/1.24 % (2301096)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2301088"
% 3.53/1.24 % (2301097)Instruction limit reached!
% 3.53/1.24 % (2301097)------------------------------
% 3.53/1.24 % (2301097)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.53/1.24 % (2301097)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.53/1.24 % (2301097)CaDiCaL version: 2.1.3
% 3.53/1.24 % (2301097)Termination reason: Instruction limit
% 3.53/1.24 % (2301097)Termination phase: Saturation
% 3.53/1.24 % (2301097)Time elapsed: 0.004 s
% 3.53/1.24 % (2301097)Peak memory usage: 89 MB
% 3.53/1.24 % (2301097)Instructions burned: 5 (million)
% 3.53/1.24 % (2301094)Refutation not found, incomplete strategy
% 3.53/1.24 % (2301094)------------------------------
% 3.53/1.24 % (2301094)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.53/1.24 % (2301094)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.53/1.24 % (2301094)CaDiCaL version: 2.1.3
% 3.53/1.24 % (2301094)Termination reason: Refutation not found, incomplete strategy
% 3.53/1.24 % (2301094)Time elapsed: 0.027 s
% 3.53/1.24 % (2301094)Peak memory usage: 112 MB
% 3.53/1.24 % (2301094)Instructions burned: 5 (million)
% 3.53/1.24 % (2301098)Refutation not found, incomplete strategy
% 3.53/1.24 % (2301098)------------------------------
% 3.53/1.24 % (2301098)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.53/1.25 % (2301098)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.53/1.25 % (2301098)CaDiCaL version: 2.1.3
% 3.53/1.25 % (2301098)Termination reason: Refutation not found, incomplete strategy
% 3.53/1.25 % (2301098)Time elapsed: 0.028 s
% 3.53/1.25 % (2301098)Peak memory usage: 112 MB
% 3.53/1.25 % (2301098)Instructions burned: 5 (million)
% 3.53/1.25 % (2301099)Instruction limit reached!
% 3.53/1.25 % (2301099)------------------------------
% 3.53/1.25 % (2301099)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.53/1.25 % (2301099)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.53/1.25 % (2301099)CaDiCaL version: 2.1.3
% 3.53/1.25 % (2301099)Termination reason: Instruction limit
% 3.53/1.25 % (2301099)Termination phase: Saturation
% 3.53/1.25 % (2301099)Time elapsed: 0.046 s
% 3.53/1.25 % (2301099)Peak memory usage: 116 MB
% 3.53/1.25 % (2301099)Instructions burned: 33 (million)
% 3.53/1.25 % (2301093)------------------------------
% 3.53/1.25 % (2301093)------------------------------
% 3.53/1.25 % (2301107)dis+11_3_anc=none:drc=ordering:si=on:urr=ec_only:bce=on:tha=off:sac=on:random_seed=2065481897:st=5:i=14:sd=10:rtra=on:ss=axioms:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 3.53/1.25 % (2301107)Refutation not found, incomplete strategy
% 3.53/1.25 % (2301107)------------------------------
% 3.53/1.25 % (2301107)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.53/1.25 % (2301107)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.53/1.25 % (2301107)CaDiCaL version: 2.1.3
% 3.53/1.25 % (2301107)Termination reason: Refutation not found, incomplete strategy
% 3.53/1.25 % (2301107)Time elapsed: 0.001 s
% 3.53/1.25 % (2301107)Peak memory usage: 89 MB
% 3.53/1.25 % (2301095)Instruction limit reached!
% 3.53/1.25 % (2301095)------------------------------
% 3.53/1.25 % (2301095)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.53/1.25 % (2301095)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.53/1.25 % (2301095)CaDiCaL version: 2.1.3
% 3.53/1.25 % (2301095)Termination reason: Instruction limit
% 3.53/1.25 % (2301095)Termination phase: Saturation
% 3.53/1.25 % (2301095)Time elapsed: 0.158 s
% 3.53/1.25 % (2301095)Peak memory usage: 117 MB
% 3.53/1.25 % (2301095)Instructions burned: 201 (million)
% 3.53/1.25 % (2301108)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=4143604870:i=29:thsqd=64:nm=0:thsqc=8:rtra=on:thsq=on:ev=off_2998 on theBenchmark for (2998ds/29Mi)
% 3.53/1.25 % (2301108)Instruction limit reached!
% 3.53/1.25 % (2301108)------------------------------
% 3.53/1.25 % (2301108)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.53/1.25 % (2301108)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.53/1.25 % (2301108)CaDiCaL version: 2.1.3
% 3.53/1.25 % (2301108)Termination reason: Instruction limit
% 3.53/1.25 % (2301108)Termination phase: Saturation
% 3.53/1.25 % (2301108)Time elapsed: 0.016 s
% 3.53/1.25 % (2301108)Peak memory usage: 88 MB
% 3.53/1.25 % (2301108)Instructions burned: 30 (million)
% 3.53/1.25 % (2301110)ott+21_1024_to=lakbo:sil=128000:bsd=on:si=on:alasca=on:uwa=alasca_main:nwc=0.5:random_seed=363028028:cond=on:i=16:fgj=on:ep=RS:asg=force:nm=10:rtra=on:rawr=on_2997 on theBenchmark for (2997ds/16Mi)
% 3.53/1.25 % (2301110)Also succeeded, but the first one will report.
% 3.53/1.25 % (2301096)Refutation found. Thanks to Tanya!
% 3.53/1.25 % SZS status Theorem for theBenchmark
% 3.53/1.25 % SZS output start Proof for theBenchmark
% See solution above
% 3.53/1.25 % (2301096)------------------------------
% 3.53/1.25 % (2301096)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.53/1.25 % (2301096)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.53/1.25 % (2301096)CaDiCaL version: 2.1.3
% 3.53/1.25 % (2301096)Termination reason: Refutation
% 3.53/1.25 % (2301096)Time elapsed: 0.003 s
% 3.53/1.25 % (2301096)Peak memory usage: 89 MB
% 3.53/1.25 % (2301096)Instructions burned: 2 (million)
% 3.53/1.25 % (2301096)------------------------------
% 3.53/1.25 % (2301096)------------------------------
% 3.53/1.25 % (2301088)Success in time 0.417 s
% 3.53/1.25 % Vampire exiting
%------------------------------------------------------------------------------