%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : AGT014+2 : TPTP v9.3.1. Bugfixed v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n019.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 09:06:35 AM UTC 2026
% Result : Theorem 3.71s 1.21s
% Output : Refutation 3.71s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 8
% Syntax : Number of formulae : 40 ( 18 unt; 5 def)
% Number of atoms : 99 ( 0 equ)
% Maximal formula atoms : 12 ( 2 avg)
% Number of connectives : 101 ( 42 ~; 39 |; 14 &)
% ( 6 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 6 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 11 con; 0-0 aty)
% Number of variables : 16 ( 0 sgn 10 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f16,axiom,
! [X0] :
( ( accept_population(X0,atheist,n75)
& accept_population(X0,christian,n24)
& accept_population(X0,muslim,n1)
& accept_population(X0,native,n0)
& accept_population(X0,other,n0) )
<=> accept_city(X0,towna) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a2_9) ).
fof(f635,axiom,
~ accept_city(muslimcountrybhumanitarianorganization,towna),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',deduced_366) ).
fof(f923,conjecture,
? [X0,X1,X2] : ~ accept_population(X0,X1,X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',query_14) ).
fof(f924,negated_conjecture,
~ ? [X0,X1,X2] : ~ accept_population(X0,X1,X2),
inference(negated_conjecture,[status(cth)],[f923]) ).
fof(f943,plain,
! [X0,X1,X2] : accept_population(X0,X1,X2),
inference(ennf_transformation,[],[f924]) ).
fof(f950,plain,
! [X0] :
( ( ( accept_population(X0,atheist,n75)
& accept_population(X0,christian,n24)
& accept_population(X0,muslim,n1)
& accept_population(X0,native,n0)
& accept_population(X0,other,n0) )
| ~ accept_city(X0,towna) )
& ( accept_city(X0,towna)
| ~ accept_population(X0,atheist,n75)
| ~ accept_population(X0,christian,n24)
| ~ accept_population(X0,muslim,n1)
| ~ accept_population(X0,native,n0)
| ~ accept_population(X0,other,n0) ) ),
inference(nnf_transformation,[],[f16]) ).
fof(f951,plain,
! [X0] :
( ( ( accept_population(X0,atheist,n75)
& accept_population(X0,christian,n24)
& accept_population(X0,muslim,n1)
& accept_population(X0,native,n0)
& accept_population(X0,other,n0) )
| ~ accept_city(X0,towna) )
& ( accept_city(X0,towna)
| ~ accept_population(X0,atheist,n75)
| ~ accept_population(X0,christian,n24)
| ~ accept_population(X0,muslim,n1)
| ~ accept_population(X0,native,n0)
| ~ accept_population(X0,other,n0) ) ),
inference(flattening,[],[f950]) ).
fof(f956,plain,
! [X2,X0,X1] : accept_population(X0,X1,X2),
inference(cnf_transformation,[],[f943]) ).
fof(f1055,plain,
! [X0] :
( accept_city(X0,towna)
| ~ accept_population(X0,atheist,n75)
| ~ accept_population(X0,christian,n24)
| ~ accept_population(X0,muslim,n1)
| ~ accept_population(X0,native,n0)
| ~ accept_population(X0,other,n0) ),
inference(cnf_transformation,[],[f951]) ).
fof(f1489,plain,
~ accept_city(muslimcountrybhumanitarianorganization,towna),
inference(cnf_transformation,[],[f635]) ).
fof(f1742,plain,
( ~ accept_population(muslimcountrybhumanitarianorganization,atheist,n75)
| ~ accept_population(muslimcountrybhumanitarianorganization,christian,n24)
| ~ accept_population(muslimcountrybhumanitarianorganization,muslim,n1)
| ~ accept_population(muslimcountrybhumanitarianorganization,native,n0)
| ~ accept_population(muslimcountrybhumanitarianorganization,other,n0) ),
inference(resolution,[],[f1055,f1489]) ).
fof(f1745,definition,
( spl0_1
<=> accept_population(muslimcountrybhumanitarianorganization,other,n0) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f1746,plain,
( ~ accept_population(muslimcountrybhumanitarianorganization,other,n0)
| spl0_1 ),
inference(avatar_component_clause,[],[f1745]) ).
fof(f1748,definition,
( spl0_2
<=> accept_population(muslimcountrybhumanitarianorganization,native,n0) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f1749,plain,
( ~ accept_population(muslimcountrybhumanitarianorganization,native,n0)
| spl0_2 ),
inference(avatar_component_clause,[],[f1748]) ).
fof(f1751,definition,
( spl0_3
<=> accept_population(muslimcountrybhumanitarianorganization,muslim,n1) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f1752,plain,
( ~ accept_population(muslimcountrybhumanitarianorganization,muslim,n1)
| spl0_3 ),
inference(avatar_component_clause,[],[f1751]) ).
fof(f1754,definition,
( spl0_4
<=> accept_population(muslimcountrybhumanitarianorganization,christian,n24) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f1755,plain,
( ~ accept_population(muslimcountrybhumanitarianorganization,christian,n24)
| spl0_4 ),
inference(avatar_component_clause,[],[f1754]) ).
fof(f1757,definition,
( spl0_5
<=> accept_population(muslimcountrybhumanitarianorganization,atheist,n75) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f1758,plain,
( ~ accept_population(muslimcountrybhumanitarianorganization,atheist,n75)
| spl0_5 ),
inference(avatar_component_clause,[],[f1757]) ).
fof(f1759,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f1742,f1757,f1754,f1751,f1748,f1745]) ).
fof(f1760,plain,
( $false
| spl0_1 ),
inference(resolution,[],[f1746,f956]) ).
fof(f1761,plain,
spl0_1,
inference(avatar_contradiction_clause,[],[f1760]) ).
fof(f1762,plain,
( $false
| spl0_2 ),
inference(resolution,[],[f1749,f956]) ).
fof(f1763,plain,
spl0_2,
inference(avatar_contradiction_clause,[],[f1762]) ).
fof(f1764,plain,
( $false
| spl0_3 ),
inference(resolution,[],[f1752,f956]) ).
fof(f1765,plain,
spl0_3,
inference(avatar_contradiction_clause,[],[f1764]) ).
fof(f1766,plain,
( $false
| spl0_4 ),
inference(resolution,[],[f1755,f956]) ).
fof(f1767,plain,
spl0_4,
inference(avatar_contradiction_clause,[],[f1766]) ).
fof(f1768,plain,
( $false
| spl0_5 ),
inference(resolution,[],[f1758,f956]) ).
fof(f1769,plain,
spl0_5,
inference(avatar_contradiction_clause,[],[f1768]) ).
cnf(s1,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5 ),
inference(sat_conversion,[],[f1759]) ).
cnf(s2,plain,
spl0_1,
inference(sat_conversion,[],[f1761]) ).
cnf(s3,plain,
spl0_2,
inference(sat_conversion,[],[f1763]) ).
cnf(s4,plain,
spl0_3,
inference(sat_conversion,[],[f1765]) ).
cnf(s5,plain,
spl0_4,
inference(sat_conversion,[],[f1767]) ).
cnf(s6,plain,
spl0_5,
inference(sat_conversion,[],[f1769]) ).
cnf(s7,plain,
$false,
inference(rat,[],[s1,s6,s5,s4,s3,s2]) ).
fof(f1770,plain,
$false,
inference(avatar_sat_refutation,[],[s7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : AGT014+2 : TPTP v9.3.1. Bugfixed v3.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.17 % Computer : n019.cluster.edu
% 0.07/0.17 % Model : x86_64 x86_64
% 0.07/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.17 % Memory : 8046.5625MB
% 0.07/0.17 % OS : Linux 6.8.0-71-generic
% 0.07/0.17 % CPULimit : 300
% 0.07/0.17 % WCLimit : 300
% 0.07/0.17 % DateTime : Mon Sep 28 19:11:03 UTC 2026
% 0.07/0.17 % CPUTime :
% 0.07/0.17 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.20 Running first-order theorem proving
% 0.07/0.21 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
% 3.00/1.11 % (132437)Detected formulas, will run a generic FOF schedule.
% 3.00/1.11 % (132444)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=160505626:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.00/1.11 % (132447)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=583076282:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.00/1.11 % (132442)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=3827118024:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.00/1.11 % (132445)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=339023041:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.00/1.11 % (132446)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3110202822:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.00/1.11 % (132448)dis-21_1_sil=8000:lcm=predicate:random_seed=3531481071:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 3.00/1.11 % (132443)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=18698569:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.00/1.11 % (132446)Refutation not found, incomplete strategy
% 3.00/1.11 % (132446)------------------------------
% 3.00/1.11 % (132446)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.00/1.11 % (132446)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.00/1.11 % (132445)Refutation not found, incomplete strategy
% 3.00/1.11 % (132445)------------------------------
% 3.00/1.11 % (132445)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.00/1.11 % (132446)CaDiCaL version: 2.1.3
% 3.00/1.11 % (132445)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.00/1.11 % (132446)Termination reason: Refutation not found, incomplete strategy
% 3.00/1.11 % (132446)Time elapsed: 0.002 s
% 3.00/1.11 % (132446)Peak memory usage: 86 MB
% 3.00/1.11 % (132445)CaDiCaL version: 2.1.3
% 3.00/1.11 % (132446)Instructions burned: 2 (million)
% 3.00/1.11 % (132445)Termination reason: Refutation not found, incomplete strategy
% 3.00/1.11 % (132445)Time elapsed: 0.002 s
% 3.00/1.11 % (132445)Peak memory usage: 86 MB
% 3.00/1.11 % (132445)Instructions burned: 2 (million)
% 3.00/1.11 % (132448)First to succeed.
% 3.00/1.11 % (132448)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-132437"
% 3.00/1.11 % (132447)Also succeeded, but the first one will report.
% 3.00/1.11 [W928 19:11:04.485957437 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 3.00/1.11 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 3.00/1.11 [W928 19:11:04.486024825 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 3.00/1.11 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 3.00/1.11 [W928 19:11:04.486053304 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 3.00/1.11 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 3.00/1.11 [W928 19:11:04.486059990 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 3.00/1.11 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 3.00/1.11 [W928 19:11:04.486074206 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 3.00/1.11 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 3.71/1.21 [W928 19:11:04.486079941 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 3.71/1.21 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 3.71/1.21 [W928 19:11:04.486093036 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 3.71/1.21 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 3.71/1.21 [W928 19:11:04.486098996 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 3.71/1.21 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 3.71/1.21 [W928 19:11:04.486111564 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 3.71/1.21 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 3.71/1.21 [W928 19:11:04.486117408 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 3.71/1.21 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 3.71/1.21 [W928 19:11:04.486130151 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 3.71/1.21 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 3.71/1.21 [W928 19:11:04.486135846 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 3.71/1.21 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 3.71/1.21 % (132446)------------------------------
% 3.71/1.21 % (132446)------------------------------
% 3.71/1.21 % (132445)------------------------------
% 3.71/1.21 % (132445)------------------------------
% 3.71/1.21 % (132448)Refutation found. Thanks to Tanya!
% 3.71/1.21 % SZS status Theorem for theBenchmark
% 3.71/1.21 % SZS output start Proof for theBenchmark
% See solution above
% 3.71/1.21 % (132448)------------------------------
% 3.71/1.21 % (132448)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.71/1.21 % (132448)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.71/1.21 % (132448)CaDiCaL version: 2.1.3
% 3.71/1.21 % (132448)Termination reason: Refutation
% 3.71/1.21 % (132448)Time elapsed: 0.011 s
% 3.71/1.21 % (132448)Peak memory usage: 90 MB
% 3.71/1.21 % (132448)Instructions burned: 19 (million)
% 3.71/1.21 % (132448)------------------------------
% 3.71/1.21 % (132448)------------------------------
% 3.71/1.21 % (132437)Success in time 0.463 s
% 3.71/1.21 % Vampire exiting
%------------------------------------------------------------------------------