%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : DAT004_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 : n007.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 3.03s 1.16s
% Output : Refutation 3.03s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 18
% Syntax : Number of formulae : 69 ( 27 unt; 0 typ; 15 def)
% Number of atoms : 152 ( 85 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 143 ( 60 ~; 62 |; 8 &)
% ( 10 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 5 ( 1 avg)
% Number arithmetic : 172 ( 0 atm; 0 fun; 142 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 : 12 ( 10 usr; 11 prp; 0-2 aty)
% Number of functors : 17 ( 10 usr; 15 con; 0-3 aty)
% Number of variables : 50 ( 41 !; 9 ?; 50 :)
% 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_9,type,
sK0: array ).
tff(func_def_10,type,
sK1: array ).
tff(func_def_11,type,
sK2: $int ).
tff(func_def_12,type,
sF3: array ).
tff(func_def_13,type,
sF4: array ).
tff(func_def_14,type,
sF5: array ).
tff(func_def_15,type,
sF6: array ).
tff(func_def_16,type,
sF7: $int ).
tff(f1,axiom,
! [X2: $int,X0: array,X1: $int] : ( read(write(X0,X1,X2),X1) = X2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1) ).
tff(f2,axiom,
! [X2: $int,X0: array,X1: $int,X3: $int] :
( ( X1 = X2 )
| ( read(write(X0,X1,X3),X2) = read(X0,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2) ).
tff(f3,conjecture,
! [X1: array,X0: array,X2: $int] :
( ( X0 = write(write(write(write(X1,3,33),4,44),5,55),X2,66) )
=> ( ( read(X0,4) = 66 )
| ( read(X0,4) = 44 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
tff(f4,negated_conjecture,
~ ! [X1: array,X0: array,X2: $int] :
( ( X0 = write(write(write(write(X1,3,33),4,44),5,55),X2,66) )
=> ( ( read(X0,4) = 66 )
| ( read(X0,4) = 44 ) ) ),
inference(negated_conjecture,[status(cth)],[f3]) ).
tff(f5,plain,
! [X2: $int,X1: array,X0: $int,X3: $int] :
( ( X0 = X2 )
| ( read(X1,X0) = read(write(X1,X2,X3),X0) ) ),
inference(rectify,[],[f2]) ).
tff(f6,plain,
~ ! [X2: $int,X0: array,X1: array] :
( ( write(write(write(write(X0,3,33),4,44),5,55),X2,66) = X1 )
=> ( ( 44 = read(X1,4) )
| ( 66 = read(X1,4) ) ) ),
inference(rectify,[],[f4]) ).
tff(f7,plain,
! [X1: array,X2: $int,X0: $int] : ( read(write(X1,X2,X0),X2) = X0 ),
inference(rectify,[],[f1]) ).
tff(f8,plain,
? [X2: $int,X0: array,X1: array] :
( ( 44 != read(X1,4) )
& ( 66 != read(X1,4) )
& ( write(write(write(write(X0,3,33),4,44),5,55),X2,66) = X1 ) ),
inference(ennf_transformation,[],[f6]) ).
tff(f9,plain,
? [X1: array,X0: array,X2: $int] :
( ( write(write(write(write(X0,3,33),4,44),5,55),X2,66) = X1 )
& ( 44 != read(X1,4) )
& ( 66 != read(X1,4) ) ),
inference(flattening,[],[f8]) ).
tff(f10,plain,
! [X0: array,X1: $int,X2: $int] : ( read(write(X0,X1,X2),X1) = X2 ),
inference(rectify,[],[f7]) ).
tff(f11,plain,
! [X0: $int,X1: array,X2: $int,X3: $int] :
( ( X0 = X2 )
| ( read(X1,X2) = read(write(X1,X0,X3),X2) ) ),
inference(rectify,[],[f5]) ).
tff(f12,plain,
? [X0: array,X1: array,X2: $int] :
( ( write(write(write(write(X1,3,33),4,44),5,55),X2,66) = X0 )
& ( 44 != read(X0,4) )
& ( 66 != read(X0,4) ) ),
inference(rectify,[],[f9]) ).
tff(f13,plain,
( ( write(write(write(write(sK1,3,33),4,44),5,55),sK2,66) = sK0 )
& ( 44 != read(sK0,4) )
& ( 66 != read(sK0,4) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2)],[f12]) ).
tff(f14,plain,
! [X2: $int,X0: array,X1: $int] : ( read(write(X0,X1,X2),X1) = X2 ),
inference(cnf_transformation,[],[f10]) ).
tff(f15,plain,
! [X2: $int,X3: $int,X0: $int,X1: array] :
( ( read(X1,X2) = read(write(X1,X0,X3),X2) )
| ( X0 = X2 ) ),
inference(cnf_transformation,[],[f11]) ).
tff(f16,plain,
66 != read(sK0,4),
inference(cnf_transformation,[],[f13]) ).
tff(f17,plain,
44 != read(sK0,4),
inference(cnf_transformation,[],[f13]) ).
tff(f18,plain,
write(write(write(write(sK1,3,33),4,44),5,55),sK2,66) = sK0,
inference(cnf_transformation,[],[f13]) ).
tff(f19,definition,
sF3 = write(sK1,3,33),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
tff(f20,definition,
sF4 = write(sF3,4,44),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
tff(f21,plain,
write(sF3,4,44) = sF4,
inference(reorient_equations,[],[f20]) ).
tff(f22,definition,
sF5 = write(sF4,5,55),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
tff(f23,plain,
write(sF4,5,55) = sF5,
inference(reorient_equations,[],[f22]) ).
tff(f24,definition,
sF6 = write(sF5,sK2,66),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
tff(f25,plain,
write(sF5,sK2,66) = sF6,
inference(reorient_equations,[],[f24]) ).
tff(f26,plain,
sF6 = sK0,
inference(definition_folding,[],[f18,f25,f23,f21,f19]) ).
tff(f27,definition,
sF7 = read(sK0,4),
introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).
tff(f28,plain,
read(sK0,4) = sF7,
inference(reorient_equations,[],[f27]) ).
tff(f29,plain,
44 != sF7,
inference(definition_folding,[],[f17,f28]) ).
tff(f30,plain,
66 != sF7,
inference(definition_folding,[],[f16,f28]) ).
tff(f32,definition,
( spl8_1
<=> ( 44 = sF7 ) ),
introduced(definition,[new_symbols(definition,[spl8_1])],[avatar_definition]) ).
tff(f34,plain,
( ( 44 != sF7 )
| spl8_1 ),
inference(avatar_component_clause,[],[f32]) ).
tff(f35,plain,
~ spl8_1,
inference(avatar_split_clause,[],[f29,f32]) ).
tff(f37,definition,
( spl8_2
<=> ( read(sK0,4) = sF7 ) ),
introduced(definition,[new_symbols(definition,[spl8_2])],[avatar_definition]) ).
tff(f39,plain,
( ( read(sK0,4) = sF7 )
| ~ spl8_2 ),
inference(avatar_component_clause,[],[f37]) ).
tff(f40,plain,
spl8_2,
inference(avatar_split_clause,[],[f28,f37]) ).
tff(f42,definition,
( spl8_3
<=> ( write(sF3,4,44) = sF4 ) ),
introduced(definition,[new_symbols(definition,[spl8_3])],[avatar_definition]) ).
tff(f44,plain,
( ( write(sF3,4,44) = sF4 )
| ~ spl8_3 ),
inference(avatar_component_clause,[],[f42]) ).
tff(f45,plain,
spl8_3,
inference(avatar_split_clause,[],[f21,f42]) ).
tff(f47,definition,
( spl8_4
<=> ( write(sF4,5,55) = sF5 ) ),
introduced(definition,[new_symbols(definition,[spl8_4])],[avatar_definition]) ).
tff(f49,plain,
( ( write(sF4,5,55) = sF5 )
| ~ spl8_4 ),
inference(avatar_component_clause,[],[f47]) ).
tff(f50,plain,
spl8_4,
inference(avatar_split_clause,[],[f23,f47]) ).
tff(f57,definition,
( spl8_6
<=> ( 66 = sF7 ) ),
introduced(definition,[new_symbols(definition,[spl8_6])],[avatar_definition]) ).
tff(f60,plain,
~ spl8_6,
inference(avatar_split_clause,[],[f30,f57]) ).
tff(f62,definition,
( spl8_7
<=> ( write(sF5,sK2,66) = sF6 ) ),
introduced(definition,[new_symbols(definition,[spl8_7])],[avatar_definition]) ).
tff(f64,plain,
( ( write(sF5,sK2,66) = sF6 )
| ~ spl8_7 ),
inference(avatar_component_clause,[],[f62]) ).
tff(f65,plain,
spl8_7,
inference(avatar_split_clause,[],[f25,f62]) ).
tff(f67,definition,
( spl8_8
<=> ( sF6 = sK0 ) ),
introduced(definition,[new_symbols(definition,[spl8_8])],[avatar_definition]) ).
tff(f69,plain,
( ( sF6 = sK0 )
| ~ spl8_8 ),
inference(avatar_component_clause,[],[f67]) ).
tff(f70,plain,
spl8_8,
inference(avatar_split_clause,[],[f26,f67]) ).
tff(f72,plain,
( ( 44 = read(sF4,4) )
| ~ spl8_3 ),
inference(superposition,[],[f14,f44]) ).
tff(f74,plain,
( ( 66 = read(sF6,sK2) )
| ~ spl8_7 ),
inference(superposition,[],[f14,f64]) ).
tff(f80,plain,
( ( 66 = read(sK0,sK2) )
| ~ spl8_7
| ~ spl8_8 ),
inference(forward_demodulation,[],[f74,f69]) ).
tff(f82,definition,
( spl8_10
<=> ( 44 = read(sF4,4) ) ),
introduced(definition,[new_symbols(definition,[spl8_10])],[avatar_definition]) ).
tff(f84,plain,
( ( 44 = read(sF4,4) )
| ~ spl8_10 ),
inference(avatar_component_clause,[],[f82]) ).
tff(f85,plain,
( spl8_10
| ~ spl8_3 ),
inference(avatar_split_clause,[],[f72,f42,f82]) ).
tff(f92,definition,
( spl8_12
<=> ( 66 = read(sK0,sK2) ) ),
introduced(definition,[new_symbols(definition,[spl8_12])],[avatar_definition]) ).
tff(f95,plain,
( spl8_12
| ~ spl8_7
| ~ spl8_8 ),
inference(avatar_split_clause,[],[f80,f67,f62,f92]) ).
tff(f98,plain,
( ! [X0: $int] :
( ( read(sF5,X0) = read(sF4,X0) )
| ( 5 = X0 ) )
| ~ spl8_4 ),
inference(superposition,[],[f15,f49]) ).
tff(f99,plain,
( ! [X0: $int] :
( ( read(sF5,X0) = read(sF6,X0) )
| ( sK2 = X0 ) )
| ~ spl8_7 ),
inference(superposition,[],[f15,f64]) ).
tff(f100,plain,
( ! [X0: $int] :
( ( read(sK0,X0) = read(sF5,X0) )
| ( sK2 = X0 ) )
| ~ spl8_7
| ~ spl8_8 ),
inference(forward_demodulation,[],[f99,f69]) ).
tff(f113,plain,
( ! [X0: $int] :
( ( read(sK0,X0) = read(sF4,X0) )
| ( sK2 = X0 )
| ( 5 = X0 ) )
| ~ spl8_4
| ~ spl8_7
| ~ spl8_8 ),
inference(superposition,[],[f98,f100]) ).
tff(f115,plain,
( ( 44 = read(sK0,4) )
| ( 4 = 5 )
| ( 4 = sK2 )
| ~ spl8_4
| ~ spl8_7
| ~ spl8_8
| ~ spl8_10 ),
inference(superposition,[],[f113,f84]) ).
tff(f119,plain,
( ( 44 = read(sK0,4) )
| ( 4 = sK2 )
| ~ spl8_4
| ~ spl8_7
| ~ spl8_8
| ~ spl8_10 ),
inference(evaluation,[],[f115]) ).
tff(f121,plain,
( ( 4 = sK2 )
| ( 44 = sF7 )
| ~ spl8_2
| ~ spl8_4
| ~ spl8_7
| ~ spl8_8
| ~ spl8_10 ),
inference(forward_demodulation,[],[f119,f39]) ).
tff(f123,plain,
( ( 4 = sK2 )
| spl8_1
| ~ spl8_2
| ~ spl8_4
| ~ spl8_7
| ~ spl8_8
| ~ spl8_10 ),
inference(forward_subsumption_resolution,[],[f121,f34]) ).
tff(f126,definition,
( spl8_15
<=> ( 4 = sK2 ) ),
introduced(definition,[new_symbols(definition,[spl8_15])],[avatar_definition]) ).
tff(f129,plain,
( spl8_15
| spl8_1
| ~ spl8_2
| ~ spl8_4
| ~ spl8_7
| ~ spl8_8
| ~ spl8_10 ),
inference(avatar_split_clause,[],[f123,f82,f67,f62,f47,f37,f32,f126]) ).
tff(f130,plain,
$false,
inference(avatar_smt_refutation,[],[f129,f95,f85,f70,f65,f60,f50,f45,f40,f35]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : DAT004_1 : TPTP v9.3.1. Released v5.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.18 % Computer : n007.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
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Tue Sep 29 00:03:10 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.22 Running first-order theorem proving
% 0.09/0.22 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
% 3.03/1.16 % (2983895)Detected arithmetic, will pick strategies from an ALASCA-aware ARI schedule.
% 3.03/1.16 % (2984002)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=138439068:i=33:rtra=on_2999 on theBenchmark for (2999ds/33Mi)
% 3.03/1.16 % (2983990)dis+1002_16:1_to=lpo:sil=64000:sas=z3:si=on:norm_ineq=on:gve=force:uwa=one_side_constant:random_seed=312071226:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_2999 on theBenchmark for (2999ds/12Mi)
% 3.03/1.16 % (2983993)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=3685663279:i=307:kws=precedence:nm=0:rtra=on_2999 on theBenchmark for (2999ds/307Mi)
% 3.03/1.16 % (2983997)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=836167285:s2a=on:i=7:rtra=on:inst=on_2999 on theBenchmark for (2999ds/7Mi)
% 3.03/1.16 % (2983994)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=593037202:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_2999 on theBenchmark for (2999ds/201Mi)
% 3.03/1.16 % (2984002)First to succeed.
% 3.03/1.16 % (2984002)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2983895"
% 3.03/1.16 % (2983997)Also succeeded, but the first one will report.
% 3.03/1.16 % (2984001)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=3626143479:i=46:rtra=on_2999 on theBenchmark for (2999ds/46Mi)
% 3.03/1.16 % (2983994)Also succeeded, but the first one will report.
% 3.03/1.16 % (2983990)Refutation not found, incomplete strategy
% 3.03/1.16 % (2983990)------------------------------
% 3.03/1.16 % (2983990)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.03/1.16 % (2983990)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.03/1.16 % (2983990)CaDiCaL version: 2.1.3
% 3.03/1.16 % (2983990)Termination reason: Refutation not found, incomplete strategy
% 3.03/1.16 % (2983990)Time elapsed: 0.029 s
% 3.03/1.16 % (2983990)Peak memory usage: 115 MB
% 3.03/1.16 % (2983990)Instructions burned: 7 (million)
% 3.03/1.16 % (2983998)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=1853104164:i=4:rtra=on_2999 on theBenchmark for (2999ds/4Mi)
% 3.03/1.16 % (2983998)Also succeeded, but the first one will report.
% 3.03/1.16 % (2983993)Also succeeded, but the first one will report.
% 3.03/1.16 % (2984001)Also succeeded, but the first one will report.
% 3.03/1.16 % (2984002)Refutation found. Thanks to Tanya!
% 3.03/1.16 % SZS status Theorem for theBenchmark
% 3.03/1.16 % SZS output start Proof for theBenchmark
% See solution above
% 3.03/1.16 % (2984002)------------------------------
% 3.03/1.16 % (2984002)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.03/1.16 % (2984002)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.03/1.16 % (2984002)CaDiCaL version: 2.1.3
% 3.03/1.16 % (2984002)Termination reason: Refutation
% 3.03/1.16 % (2984002)Time elapsed: 0.025 s
% 3.03/1.16 % (2984002)Peak memory usage: 116 MB
% 3.03/1.16 % (2984002)Instructions burned: 18 (million)
% 3.03/1.16 % (2984002)------------------------------
% 3.03/1.16 % (2984002)------------------------------
% 3.03/1.16 % (2983895)Success in time 0.339 s
% 3.03/1.16 % Vampire exiting
%------------------------------------------------------------------------------