%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : PUZ134_2 : TPTP v9.3.1. Released v5.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n012.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 12:31:41 PM UTC 2026
% Result : Theorem 0.44s 0.83s
% Output : Refutation 2.31s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 17
% Syntax : Number of formulae : 87 ( 24 unt; 0 typ; 8 def)
% Number of atoms : 217 ( 36 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 231 ( 101 ~; 108 |; 12 &)
% ( 9 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 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 : 33 ( 0 sgn 32 !; 1 ?; 33 :)
% 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/sandbox/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/sandbox/benchmark/theBenchmark.p',age_transitive) ).
tff(f26,axiom,
! [X0: age,X1: age] :
~ ( greater(X0,X1)
& greater(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',age_irreflexive) ).
tff(f27,axiom,
! [X0: age,X1: age] :
( ( X0 != X1 )
<=> ( greater(X0,X1)
| greater(X1,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',age_greater) ).
tff(f29,axiom,
greater(age_of(a),age_of(d)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',age_info1) ).
tff(f30,axiom,
greater(age_of(d),age_of(b)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',age_info2) ).
tff(f32,axiom,
greater(age_of(b),age_of(c)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',age_info4) ).
tff(f35,axiom,
? [X0: knowheyan] : greater(age_of(c),age_of(X0)),
file('/export/starexec/sandbox/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/sandbox/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(f50,plain,
! [X0: age,X1: age] :
( ( ( X0 != X1 )
| ( ~ greater(X0,X1)
& ~ greater(X1,X0) ) )
& ( greater(X0,X1)
| greater(X1,X0)
| ( X0 = X1 ) ) ),
inference(nnf_transformation,[],[f27]) ).
tff(f51,plain,
! [X0: age,X1: age] :
( ( ( X0 != X1 )
| ( ~ greater(X0,X1)
& ~ greater(X1,X0) ) )
& ( greater(X0,X1)
| greater(X1,X0)
| ( X0 = X1 ) ) ),
inference(flattening,[],[f50]) ).
tff(f52,plain,
greater(age_of(c),age_of(sK0)),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f35]) ).
tff(f73,plain,
! [X0: knowheyan] :
( ( e = X0 )
| ( b = X0 )
| ( c = X0 )
| ( d = X0 )
| ( a = X0 ) ),
inference(cnf_transformation,[],[f21]) ).
tff(f77,plain,
! [X2: age,X0: age,X1: age] :
( ~ greater(X0,X1)
| greater(X0,X2)
| ~ greater(X1,X2) ),
inference(cnf_transformation,[],[f41]) ).
tff(f78,plain,
! [X0: age,X1: age] :
( ~ greater(X0,X1)
| ~ greater(X1,X0) ),
inference(cnf_transformation,[],[f42]) ).
tff(f81,plain,
! [X0: age,X1: age] :
( ( X0 != X1 )
| ~ greater(X0,X1) ),
inference(cnf_transformation,[],[f51]) ).
tff(f83,plain,
greater(age_of(a),age_of(d)),
inference(cnf_transformation,[],[f29]) ).
tff(f84,plain,
greater(age_of(d),age_of(b)),
inference(cnf_transformation,[],[f30]) ).
tff(f86,plain,
greater(age_of(b),age_of(c)),
inference(cnf_transformation,[],[f32]) ).
tff(f89,plain,
greater(age_of(c),age_of(sK0)),
inference(cnf_transformation,[],[f52]) ).
tff(f90,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(cnf_transformation,[],[f49]) ).
tff(f91,plain,
! [X1: age] : ~ greater(X1,X1),
inference(equality_resolution,[],[f81]) ).
tff(f94,definition,
( spl1_1
<=> greater(age_of(c),age_of(e)) ),
introduced(definition,[new_symbols(definition,[spl1_1])],[avatar_definition]) ).
tff(f96,plain,
( ~ greater(age_of(c),age_of(e))
| spl1_1 ),
inference(avatar_component_clause,[],[f94]) ).
tff(f98,definition,
( spl1_2
<=> greater(age_of(b),age_of(c)) ),
introduced(definition,[new_symbols(definition,[spl1_2])],[avatar_definition]) ).
tff(f99,plain,
( greater(age_of(b),age_of(c))
| ~ spl1_2 ),
inference(avatar_component_clause,[],[f98]) ).
tff(f102,definition,
( spl1_3
<=> greater(age_of(d),age_of(b)) ),
introduced(definition,[new_symbols(definition,[spl1_3])],[avatar_definition]) ).
tff(f103,plain,
( greater(age_of(d),age_of(b))
| ~ spl1_3 ),
inference(avatar_component_clause,[],[f102]) ).
tff(f106,definition,
( spl1_4
<=> greater(age_of(a),age_of(d)) ),
introduced(definition,[new_symbols(definition,[spl1_4])],[avatar_definition]) ).
tff(f107,plain,
( greater(age_of(a),age_of(d))
| ~ spl1_4 ),
inference(avatar_component_clause,[],[f106]) ).
tff(f109,plain,
( ~ spl1_1
| ~ spl1_2
| ~ spl1_3
| ~ spl1_4 ),
inference(avatar_split_clause,[],[f90,f106,f102,f98,f94]) ).
tff(f110,plain,
spl1_2,
inference(avatar_split_clause,[],[f86,f98]) ).
tff(f111,plain,
spl1_3,
inference(avatar_split_clause,[],[f84,f102]) ).
tff(f112,plain,
spl1_4,
inference(avatar_split_clause,[],[f83,f106]) ).
tff(f114,plain,
( ~ greater(age_of(c),age_of(b))
| ~ spl1_2 ),
inference(resolution,[],[f78,f99]) ).
tff(f116,plain,
( ~ greater(age_of(b),age_of(d))
| ~ spl1_3 ),
inference(resolution,[],[f78,f103]) ).
tff(f119,plain,
( ! [X0: age] :
( ~ greater(age_of(d),X0)
| greater(age_of(a),X0) )
| ~ spl1_4 ),
inference(resolution,[],[f77,f107]) ).
tff(f120,plain,
( ! [X0: age] :
( ~ greater(age_of(c),X0)
| greater(age_of(b),X0) )
| ~ spl1_2 ),
inference(resolution,[],[f77,f99]) ).
tff(f142,plain,
( greater(age_of(a),age_of(b))
| ~ spl1_3
| ~ spl1_4 ),
inference(resolution,[],[f119,f103]) ).
tff(f145,plain,
( ~ greater(age_of(b),age_of(a))
| ~ spl1_3
| ~ spl1_4 ),
inference(resolution,[],[f142,f78]) ).
tff(f147,plain,
( greater(age_of(b),age_of(sK0))
| ~ spl1_2 ),
inference(resolution,[],[f120,f89]) ).
tff(f154,plain,
( ! [X0: knowheyan] :
( ~ greater(age_of(c),age_of(X0))
| ( b = X0 )
| ( c = X0 )
| ( d = X0 )
| ( a = X0 ) )
| spl1_1 ),
inference(superposition,[],[f96,f73]) ).
tff(f163,definition,
( spl1_7
<=> ( a = sK0 ) ),
introduced(definition,[new_symbols(definition,[spl1_7])],[avatar_definition]) ).
tff(f164,plain,
( ( a != sK0 )
| spl1_7 ),
inference(avatar_component_clause,[],[f163]) ).
tff(f165,plain,
( ( a = sK0 )
| ~ spl1_7 ),
inference(avatar_component_clause,[],[f163]) ).
tff(f167,definition,
( spl1_8
<=> ( d = sK0 ) ),
introduced(definition,[new_symbols(definition,[spl1_8])],[avatar_definition]) ).
tff(f169,plain,
( ( d = sK0 )
| ~ spl1_8 ),
inference(avatar_component_clause,[],[f167]) ).
tff(f171,definition,
( spl1_9
<=> ( c = sK0 ) ),
introduced(definition,[new_symbols(definition,[spl1_9])],[avatar_definition]) ).
tff(f173,plain,
( ( c = sK0 )
| ~ spl1_9 ),
inference(avatar_component_clause,[],[f171]) ).
tff(f175,definition,
( spl1_10
<=> ( b = sK0 ) ),
introduced(definition,[new_symbols(definition,[spl1_10])],[avatar_definition]) ).
tff(f177,plain,
( ( b = sK0 )
| ~ spl1_10 ),
inference(avatar_component_clause,[],[f175]) ).
tff(f183,plain,
( greater(age_of(b),age_of(a))
| ~ spl1_2
| ~ spl1_7 ),
inference(forward_demodulation,[],[f147,f165]) ).
tff(f184,plain,
( $false
| ~ spl1_2
| ~ spl1_3
| ~ spl1_4
| ~ spl1_7 ),
inference(forward_subsumption_resolution,[],[f183,f145]) ).
tff(f185,plain,
( ~ spl1_2
| ~ spl1_3
| ~ spl1_4
| ~ spl1_7 ),
inference(avatar_contradiction_clause,[],[f184]) ).
tff(f190,plain,
( ( b = sK0 )
| ( c = sK0 )
| ( d = sK0 )
| ( a = sK0 )
| spl1_1 ),
inference(resolution,[],[f154,f89]) ).
tff(f193,plain,
( greater(age_of(b),age_of(d))
| ~ spl1_2
| ~ spl1_8 ),
inference(forward_demodulation,[],[f147,f169]) ).
tff(f194,plain,
( $false
| ~ spl1_2
| ~ spl1_3
| ~ spl1_8 ),
inference(forward_subsumption_resolution,[],[f193,f116]) ).
tff(f195,plain,
( ~ spl1_2
| ~ spl1_3
| ~ spl1_8 ),
inference(avatar_contradiction_clause,[],[f194]) ).
tff(f196,plain,
( ( b = sK0 )
| ( c = sK0 )
| ( d = sK0 )
| spl1_1
| spl1_7 ),
inference(forward_subsumption_resolution,[],[f190,f164]) ).
tff(f197,plain,
( spl1_8
| spl1_9
| spl1_10
| spl1_1
| spl1_7 ),
inference(avatar_split_clause,[],[f196,f163,f94,f175,f171,f167]) ).
tff(f202,plain,
( greater(age_of(c),age_of(c))
| ~ spl1_9 ),
inference(superposition,[],[f89,f173]) ).
tff(f203,plain,
( $false
| ~ spl1_9 ),
inference(forward_subsumption_resolution,[],[f202,f91]) ).
tff(f204,plain,
~ spl1_9,
inference(avatar_contradiction_clause,[],[f203]) ).
tff(f210,plain,
( greater(age_of(c),age_of(b))
| ~ spl1_10 ),
inference(superposition,[],[f89,f177]) ).
tff(f211,plain,
( $false
| ~ spl1_2
| ~ spl1_10 ),
inference(forward_subsumption_resolution,[],[f210,f114]) ).
tff(f212,plain,
( ~ spl1_2
| ~ spl1_10 ),
inference(avatar_contradiction_clause,[],[f211]) ).
cnf(s1,plain,
( ~ spl1_1
| ~ spl1_2
| ~ spl1_3
| ~ spl1_4 ),
inference(sat_conversion,[],[f109]) ).
cnf(s2,plain,
spl1_2,
inference(sat_conversion,[],[f110]) ).
cnf(s3,plain,
spl1_3,
inference(sat_conversion,[],[f111]) ).
cnf(s4,plain,
spl1_4,
inference(sat_conversion,[],[f112]) ).
cnf(s7,plain,
( ~ spl1_2
| ~ spl1_3
| ~ spl1_4
| ~ spl1_7 ),
inference(sat_conversion,[],[f185]) ).
cnf(s8,plain,
( ~ spl1_2
| ~ spl1_3
| ~ spl1_8 ),
inference(sat_conversion,[],[f195]) ).
cnf(s9,plain,
( spl1_1
| spl1_7
| spl1_8
| spl1_9
| spl1_10 ),
inference(sat_conversion,[],[f197]) ).
cnf(s10,plain,
~ spl1_9,
inference(sat_conversion,[],[f204]) ).
cnf(s11,plain,
( ~ spl1_2
| ~ spl1_10 ),
inference(sat_conversion,[],[f212]) ).
cnf(s12,plain,
( spl1_1
| spl1_7
| spl1_8
| spl1_10 ),
inference(rat,[],[s9,s10]) ).
cnf(s14,plain,
~ spl1_10,
inference(rat,[],[s11,s2]) ).
cnf(s15,plain,
~ spl1_8,
inference(rat,[],[s8,s3,s2]) ).
cnf(s16,plain,
~ spl1_7,
inference(rat,[],[s7,s3,s4,s2]) ).
cnf(s17,plain,
spl1_1,
inference(rat,[],[s12,s14,s15,s16]) ).
cnf(s18,plain,
$false,
inference(rat,[],[s1,s4,s3,s2,s17]) ).
tff(f213,plain,
$false,
inference(avatar_sat_refutation,[],[s18]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : PUZ134_2 : TPTP v9.3.1. Released v5.1.0.
% 0.00/0.03 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.04/0.31 % Computer : n012.cluster.edu
% 0.04/0.31 % Model : x86_64 x86_64
% 0.04/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.04/0.31 % Memory : 8046.5625MB
% 0.04/0.31 % OS : Linux 6.8.0-71-generic
% 0.04/0.31 % CPULimit : 300
% 0.04/0.31 % WCLimit : 300
% 0.04/0.31 % DateTime : Sun Sep 27 22:44:49 UTC 2026
% 0.04/0.31 % CPUTime :
% 0.04/0.31 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.32 Running first-order theorem proving
% 0.08/0.32 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
% 0.44/0.83 % (2826847)Detected formulas, will run a generic FOF schedule.
% 0.44/0.83 % (2826889)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3503847794:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 0.44/0.83 % (2826883)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=493331710:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 0.44/0.83 % (2826887)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2483514781:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 0.44/0.83 % (2826885)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=1978622637:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 0.44/0.83 % (2826886)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=298345315:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 0.44/0.83 % (2826884)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=3637798639:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 0.44/0.83 % (2826890)dis-21_1_sil=8000:lcm=predicate:random_seed=12194457: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)
% 0.44/0.83 % (2826889)First to succeed.
% 0.44/0.83 % (2826889)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2826847"
% 0.44/0.83 % (2826887)Also succeeded, but the first one will report.
% 0.44/0.83 % (2826886)Also succeeded, but the first one will report.
% 0.44/0.83 % (2826890)Instruction limit reached!
% 0.44/0.83 % (2826890)------------------------------
% 0.44/0.83 % (2826890)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.44/0.83 % (2826890)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.44/0.83 % (2826890)CaDiCaL version: 2.1.3
% 0.44/0.83 % (2826890)Termination reason: Instruction limit
% 0.44/0.83 % (2826890)Termination phase: Saturation
% 0.44/0.83 % (2826890)Time elapsed: 0.038 s
% 0.44/0.83 % (2826890)Peak memory usage: 88 MB
% 0.44/0.83 % (2826890)Instructions burned: 132 (million)
% 0.44/0.83 % (2826967)lrs+10_1_sil=8000:sp=occurrence:random_seed=3868111197:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 0.44/0.83 % (2826889)Refutation found. Thanks to Tanya!
% 0.44/0.83 % SZS status Theorem for theBenchmark
% 0.44/0.83 % SZS output start Proof for theBenchmark
% See solution above
% 2.31/0.93 % (2826889)------------------------------
% 2.31/0.93 % (2826889)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.31/0.93 % (2826889)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.31/0.93 % (2826889)CaDiCaL version: 2.1.3
% 2.31/0.93 % (2826889)Termination reason: Refutation
% 2.31/0.93 % (2826889)Time elapsed: 0.003 s
% 2.31/0.93 % (2826889)Peak memory usage: 89 MB
% 2.31/0.93 % (2826889)Instructions burned: 7 (million)
% 2.31/0.93 % (2826889)------------------------------
% 2.31/0.93 % (2826889)------------------------------
% 2.31/0.93 % (2826847)Success in time 0.288 s
% 2.31/0.93 % Vampire exiting
%------------------------------------------------------------------------------