%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : PUZ134_2 : TPTP v9.3.1. Released v5.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n026.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 12:32:33 PM UTC 2026
% Result : Theorem 0.11s 0.44s
% Output : Refutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 17
% Syntax : Number of formulae : 82 ( 23 unt; 0 typ; 8 def)
% Number of atoms : 201 ( 28 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 215 ( 96 ~; 101 |; 8 &)
% ( 9 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 4 ( 3 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 11 ( 9 usr; 9 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 11 con; 0-1 aty)
% Number of variables : 29 ( 0 sgn 28 !; 1 ?; 29 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
knowheyan: $tType ).
tff(type_def_6,type,
job: $tType ).
tff(type_def_7,type,
age: $tType ).
tff(func_def_0,type,
age_of: knowheyan > age ).
tff(func_def_1,type,
job_of: knowheyan > job ).
tff(func_def_2,type,
a: knowheyan ).
tff(func_def_3,type,
b: knowheyan ).
tff(func_def_4,type,
c: knowheyan ).
tff(func_def_5,type,
d: knowheyan ).
tff(func_def_6,type,
e: knowheyan ).
tff(func_def_7,type,
airfoil_technician: job ).
tff(func_def_8,type,
communications_consultant: job ).
tff(func_def_9,type,
space_planner: job ).
tff(func_def_10,type,
lunar_energy_engineer: job ).
tff(func_def_11,type,
synthetic_food_nutitionist: job ).
tff(func_def_12,type,
sK0: knowheyan ).
tff(pred_def_1,type,
greater: ( age * age ) > $o ).
tff(f21,axiom,
! [X0: knowheyan] :
( ( X0 = a )
| ( X0 = b )
| ( X0 = c )
| ( X0 = d )
| ( X0 = e ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',only_knowheyans) ).
tff(f25,axiom,
! [X0: age,X1: age,X2: age] :
( ( greater(X0,X1)
& greater(X1,X2) )
=> greater(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',age_transitive) ).
tff(f26,axiom,
! [X0: age,X1: age] :
~ ( greater(X0,X1)
& greater(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',age_irreflexive) ).
tff(f27,axiom,
! [X0: age,X1: age] :
( ( X0 != X1 )
<=> ( greater(X0,X1)
| greater(X1,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',age_greater) ).
tff(f29,axiom,
greater(age_of(a),age_of(d)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',age_info1) ).
tff(f30,axiom,
greater(age_of(d),age_of(b)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',age_info2) ).
tff(f32,axiom,
greater(age_of(b),age_of(c)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',age_info4) ).
tff(f35,axiom,
? [X0: knowheyan] : greater(age_of(c),age_of(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c_not_youngest) ).
tff(f36,conjecture,
( greater(age_of(a),age_of(d))
& greater(age_of(d),age_of(b))
& greater(age_of(b),age_of(c))
& greater(age_of(c),age_of(e)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',age_order) ).
tff(f37,negated_conjecture,
~ ( greater(age_of(a),age_of(d))
& greater(age_of(d),age_of(b))
& greater(age_of(b),age_of(c))
& greater(age_of(c),age_of(e)) ),
inference(negated_conjecture,[status(cth)],[f36]) ).
tff(f40,plain,
! [X0: age,X1: age,X2: age] :
( greater(X0,X2)
| ~ greater(X0,X1)
| ~ greater(X1,X2) ),
inference(ennf_transformation,[],[f25]) ).
tff(f41,plain,
! [X0: age,X1: age,X2: age] :
( greater(X0,X2)
| ~ greater(X0,X1)
| ~ greater(X1,X2) ),
inference(flattening,[],[f40]) ).
tff(f42,plain,
! [X0: age,X1: age] :
( ~ greater(X0,X1)
| ~ greater(X1,X0) ),
inference(ennf_transformation,[],[f26]) ).
tff(f49,plain,
( ~ greater(age_of(a),age_of(d))
| ~ greater(age_of(d),age_of(b))
| ~ greater(age_of(b),age_of(c))
| ~ greater(age_of(c),age_of(e)) ),
inference(ennf_transformation,[],[f37]) ).
tff(f70,plain,
! [X0: knowheyan] :
( ( e = X0 )
| ( d = X0 )
| ( c = X0 )
| ( b = X0 )
| ( a = X0 ) ),
inference(cnf_transformation,[],[f21]) ).
tff(f74,plain,
! [X2: age,X0: age,X1: age] :
( ~ greater(X1,X2)
| ~ greater(X0,X1)
| greater(X0,X2) ),
inference(cnf_transformation,[],[f41]) ).
tff(f75,plain,
! [X0: age,X1: age] :
( ~ greater(X1,X0)
| ~ greater(X0,X1) ),
inference(cnf_transformation,[],[f42]) ).
tff(f77,plain,
! [X0: age,X1: age] :
( ~ greater(X1,X0)
| ( X0 != X1 ) ),
inference(cnf_transformation,[],[f27]) ).
tff(f80,plain,
greater(age_of(a),age_of(d)),
inference(cnf_transformation,[],[f29]) ).
tff(f81,plain,
greater(age_of(d),age_of(b)),
inference(cnf_transformation,[],[f30]) ).
tff(f83,plain,
greater(age_of(b),age_of(c)),
inference(cnf_transformation,[],[f32]) ).
tff(f86,plain,
greater(age_of(c),age_of(sK0)),
inference(cnf_transformation,[],[f35]) ).
tff(f87,plain,
( ~ greater(age_of(c),age_of(e))
| ~ greater(age_of(b),age_of(c))
| ~ greater(age_of(d),age_of(b))
| ~ greater(age_of(a),age_of(d)) ),
inference(cnf_transformation,[],[f49]) ).
tff(f89,plain,
! [X1: age] : ~ greater(X1,X1),
inference(equality_resolution,[],[f77]) ).
tff(f91,definition,
( spl1_1
<=> greater(age_of(a),age_of(d)) ),
introduced(definition,[new_symbols(definition,[spl1_1])],[avatar_definition]) ).
tff(f92,plain,
( greater(age_of(a),age_of(d))
| ~ spl1_1 ),
inference(avatar_component_clause,[],[f91]) ).
tff(f95,definition,
( spl1_2
<=> greater(age_of(d),age_of(b)) ),
introduced(definition,[new_symbols(definition,[spl1_2])],[avatar_definition]) ).
tff(f96,plain,
( greater(age_of(d),age_of(b))
| ~ spl1_2 ),
inference(avatar_component_clause,[],[f95]) ).
tff(f99,definition,
( spl1_3
<=> greater(age_of(b),age_of(c)) ),
introduced(definition,[new_symbols(definition,[spl1_3])],[avatar_definition]) ).
tff(f100,plain,
( greater(age_of(b),age_of(c))
| ~ spl1_3 ),
inference(avatar_component_clause,[],[f99]) ).
tff(f103,definition,
( spl1_4
<=> greater(age_of(c),age_of(e)) ),
introduced(definition,[new_symbols(definition,[spl1_4])],[avatar_definition]) ).
tff(f105,plain,
( ~ greater(age_of(c),age_of(e))
| spl1_4 ),
inference(avatar_component_clause,[],[f103]) ).
tff(f106,plain,
( ~ spl1_1
| ~ spl1_2
| ~ spl1_3
| ~ spl1_4 ),
inference(avatar_split_clause,[],[f87,f103,f99,f95,f91]) ).
tff(f107,plain,
spl1_3,
inference(avatar_split_clause,[],[f83,f99]) ).
tff(f108,plain,
spl1_2,
inference(avatar_split_clause,[],[f81,f95]) ).
tff(f109,plain,
spl1_1,
inference(avatar_split_clause,[],[f80,f91]) ).
tff(f113,plain,
( ~ greater(age_of(b),age_of(d))
| ~ spl1_2 ),
inference(resolution,[],[f75,f96]) ).
tff(f116,plain,
( ! [X0: age] :
( ~ greater(X0,age_of(a))
| greater(X0,age_of(d)) )
| ~ spl1_1 ),
inference(resolution,[],[f74,f92]) ).
tff(f122,plain,
( ! [X0: age] :
( ~ greater(age_of(c),X0)
| greater(age_of(b),X0) )
| ~ spl1_3 ),
inference(resolution,[],[f74,f100]) ).
tff(f124,plain,
( ! [X0: age] :
( greater(age_of(d),X0)
| ~ greater(age_of(b),X0) )
| ~ spl1_2 ),
inference(resolution,[],[f74,f96]) ).
tff(f272,plain,
( greater(age_of(c),age_of(e))
| ( d = sK0 )
| ( c = sK0 )
| ( b = sK0 )
| ( a = sK0 ) ),
inference(superposition,[],[f86,f70]) ).
tff(f277,plain,
( ( d = sK0 )
| ( c = sK0 )
| ( b = sK0 )
| ( a = sK0 )
| spl1_4 ),
inference(forward_subsumption_resolution,[],[f272,f105]) ).
tff(f279,definition,
( spl1_24
<=> ( a = sK0 ) ),
introduced(definition,[new_symbols(definition,[spl1_24])],[avatar_definition]) ).
tff(f281,plain,
( ( a = sK0 )
| ~ spl1_24 ),
inference(avatar_component_clause,[],[f279]) ).
tff(f283,definition,
( spl1_25
<=> ( b = sK0 ) ),
introduced(definition,[new_symbols(definition,[spl1_25])],[avatar_definition]) ).
tff(f285,plain,
( ( b = sK0 )
| ~ spl1_25 ),
inference(avatar_component_clause,[],[f283]) ).
tff(f287,definition,
( spl1_26
<=> ( c = sK0 ) ),
introduced(definition,[new_symbols(definition,[spl1_26])],[avatar_definition]) ).
tff(f289,plain,
( ( c = sK0 )
| ~ spl1_26 ),
inference(avatar_component_clause,[],[f287]) ).
tff(f291,definition,
( spl1_27
<=> ( d = sK0 ) ),
introduced(definition,[new_symbols(definition,[spl1_27])],[avatar_definition]) ).
tff(f293,plain,
( ( d = sK0 )
| ~ spl1_27 ),
inference(avatar_component_clause,[],[f291]) ).
tff(f294,plain,
( spl1_24
| spl1_25
| spl1_26
| spl1_27
| spl1_4 ),
inference(avatar_split_clause,[],[f277,f103,f291,f287,f283,f279]) ).
tff(f337,plain,
( greater(age_of(b),age_of(sK0))
| ~ spl1_3 ),
inference(resolution,[],[f122,f86]) ).
tff(f346,plain,
( greater(age_of(b),age_of(a))
| ~ spl1_3
| ~ spl1_24 ),
inference(forward_demodulation,[],[f337,f281]) ).
tff(f355,plain,
( ~ greater(age_of(b),age_of(a))
| greater(age_of(d),age_of(d))
| ~ spl1_1
| ~ spl1_2 ),
inference(resolution,[],[f124,f116]) ).
tff(f357,plain,
( greater(age_of(d),age_of(d))
| ~ spl1_1
| ~ spl1_2
| ~ spl1_3
| ~ spl1_24 ),
inference(forward_subsumption_resolution,[],[f355,f346]) ).
tff(f360,plain,
( $false
| ~ spl1_1
| ~ spl1_2
| ~ spl1_3
| ~ spl1_24 ),
inference(forward_subsumption_resolution,[],[f357,f89]) ).
tff(f361,plain,
( ~ spl1_1
| ~ spl1_2
| ~ spl1_3
| ~ spl1_24 ),
inference(avatar_contradiction_clause,[],[f360]) ).
tff(f362,plain,
( greater(age_of(b),age_of(b))
| ~ spl1_3
| ~ spl1_25 ),
inference(forward_demodulation,[],[f337,f285]) ).
tff(f364,plain,
( $false
| ~ spl1_3
| ~ spl1_25 ),
inference(forward_subsumption_resolution,[],[f362,f89]) ).
tff(f365,plain,
( ~ spl1_3
| ~ spl1_25 ),
inference(avatar_contradiction_clause,[],[f364]) ).
tff(f372,plain,
( greater(age_of(c),age_of(c))
| ~ spl1_26 ),
inference(superposition,[],[f86,f289]) ).
tff(f373,plain,
( $false
| ~ spl1_26 ),
inference(forward_subsumption_resolution,[],[f372,f89]) ).
tff(f374,plain,
~ spl1_26,
inference(avatar_contradiction_clause,[],[f373]) ).
tff(f375,plain,
( greater(age_of(b),age_of(d))
| ~ spl1_3
| ~ spl1_27 ),
inference(forward_demodulation,[],[f337,f293]) ).
tff(f376,plain,
( $false
| ~ spl1_2
| ~ spl1_3
| ~ spl1_27 ),
inference(forward_subsumption_resolution,[],[f375,f113]) ).
tff(f377,plain,
( ~ spl1_2
| ~ spl1_3
| ~ spl1_27 ),
inference(avatar_contradiction_clause,[],[f376]) ).
cnf(s1,plain,
( ~ spl1_1
| ~ spl1_2
| ~ spl1_3
| ~ spl1_4 ),
inference(sat_conversion,[],[f106]) ).
cnf(s2,plain,
spl1_3,
inference(sat_conversion,[],[f107]) ).
cnf(s3,plain,
spl1_2,
inference(sat_conversion,[],[f108]) ).
cnf(s4,plain,
spl1_1,
inference(sat_conversion,[],[f109]) ).
cnf(s17,plain,
( spl1_4
| spl1_24
| spl1_25
| spl1_26
| spl1_27 ),
inference(sat_conversion,[],[f294]) ).
cnf(s21,plain,
( ~ spl1_1
| ~ spl1_2
| ~ spl1_3
| ~ spl1_24 ),
inference(sat_conversion,[],[f361]) ).
cnf(s22,plain,
( ~ spl1_3
| ~ spl1_25 ),
inference(sat_conversion,[],[f365]) ).
cnf(s23,plain,
~ spl1_26,
inference(sat_conversion,[],[f374]) ).
cnf(s24,plain,
( ~ spl1_2
| ~ spl1_3
| ~ spl1_27 ),
inference(sat_conversion,[],[f377]) ).
cnf(s25,plain,
( spl1_4
| spl1_24
| spl1_25
| spl1_27 ),
inference(rat,[],[s17,s23]) ).
cnf(s26,plain,
~ spl1_27,
inference(rat,[],[s24,s3,s2]) ).
cnf(s27,plain,
~ spl1_25,
inference(rat,[],[s22,s2]) ).
cnf(s29,plain,
~ spl1_24,
inference(rat,[],[s21,s3,s4,s2]) ).
cnf(s30,plain,
spl1_4,
inference(rat,[],[s25,s26,s27,s29]) ).
cnf(s31,plain,
$false,
inference(rat,[],[s1,s30,s2,s3,s4]) ).
tff(f378,plain,
$false,
inference(avatar_sat_refutation,[],[s31]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PUZ134_2 : TPTP v9.3.1. Released v5.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.36 % Computer : n026.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Sun Sep 27 22:47:56 UTC 2026
% 0.11/0.36 % CPUTime :
% 0.11/0.36 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.40 Running first-order model finding
% 0.11/0.40 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.44 % (3285660)Will run a generic schedule for satisfiability detection.
% 0.11/0.44 % (3285669)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1958621547:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.11/0.44 % (3285669) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3285660-3285669"...
% 0.11/0.44 % (3285666)% WARNING: option uhcvi not known.
% 0.11/0.44 % (3285669)...printing done.
% 0.11/0.44 % (3285669)Refutation found. Thanks to Tanya!
% 0.11/0.44 % SZS status Theorem for theBenchmark
% 0.11/0.44 % SZS output start Proof for theBenchmark
% See solution above
% 0.11/0.44 % (3285669)------------------------------
% 0.11/0.44 % (3285669)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.11/0.44 % (3285669)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.11/0.44 % (3285669)CaDiCaL version: 2.1.3
% 0.11/0.44 % (3285669)Termination reason: Refutation
% 0.11/0.44 % (3285669)Time elapsed: 0.005 s
% 0.11/0.44 % (3285669)Peak memory usage: 12 MB
% 0.11/0.44 % (3285669)Instructions burned: 11 (million)
% 0.11/0.44 % (3285660)Success in time 0.031 s
% 0.11/0.44 % Vampire exiting
%------------------------------------------------------------------------------