%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NLP145-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n018.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 12:07:37 PM UTC 2026
% Result : Unsatisfiable 3.60s 1.41s
% Output : Refutation 3.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 18
% Syntax : Number of formulae : 46 ( 11 unt; 2 def)
% Number of atoms : 81 ( 4 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 76 ( 41 ~; 33 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 17 ( 15 usr; 3 prp; 0-4 aty)
% Number of functors : 6 ( 6 usr; 2 con; 0-2 aty)
% Number of variables : 42 ( 0 sgn 42 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X0,X1] :
( ~ fellow(X0,X1)
| man(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause2) ).
fof(f14,axiom,
! [X0,X1] :
( ~ man(X0,X1)
| male(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause14) ).
fof(f30,axiom,
! [X0,X1] :
( ~ instrumentality(X0,X1)
| artifact(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause30) ).
fof(f31,axiom,
! [X0,X1] :
( ~ artifact(X0,X1)
| object(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause31) ).
fof(f35,axiom,
! [X0,X1] :
( ~ object(X0,X1)
| unisex(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause35) ).
fof(f48,axiom,
! [X0,X1] :
( ~ frontseat(X0,X1)
| seat(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause48) ).
fof(f49,axiom,
! [X0,X1] :
( ~ seat(X0,X1)
| furniture(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause49) ).
fof(f50,axiom,
! [X0,X1] :
( ~ furniture(X0,X1)
| instrumentality(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause50) ).
fof(f52,axiom,
! [X0,X1] :
( ~ unisex(X0,X1)
| ~ male(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause52) ).
fof(f59,axiom,
! [X2,X3,X0,X1] :
( ~ be(X0,X1,X2,X3)
| X2 = X3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause59) ).
fof(f60,axiom,
! [X0,X1] :
( member(X0,skf10(X1,X0),X1)
| ~ two(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause60) ).
fof(f61,axiom,
! [X0,X1] :
( member(X0,skf8(X1,X0),X1)
| ~ two(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause61) ).
fof(f76,negated_conjecture,
two(skc7,skc8),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause74) ).
fof(f90,negated_conjecture,
! [X0] :
( ~ member(skc7,X0,skc8)
| fellow(skc7,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause88) ).
fof(f91,negated_conjecture,
! [X0,X1] :
( ~ member(skc7,X0,skc8)
| frontseat(skc7,skf5(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause89) ).
fof(f94,negated_conjecture,
! [X0] :
( be(skc7,skf6(X0),X0,skf5(X0))
| ~ member(skc7,X0,skc8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause92) ).
fof(f99,definition,
( spl0_2
<=> ! [X0] : ~ member(skc7,X0,skc8) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f100,plain,
( ! [X0] : ~ member(skc7,X0,skc8)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f99]) ).
fof(f103,definition,
( spl0_3
<=> ! [X1] : frontseat(skc7,skf5(X1)) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f104,plain,
( ! [X1] : frontseat(skc7,skf5(X1))
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f103]) ).
fof(f105,plain,
( spl0_3
| spl0_2 ),
inference(avatar_split_clause,[],[f91,f99,f103]) ).
fof(f140,plain,
! [X0] :
( ~ member(skc7,X0,skc8)
| skf5(X0) = X0 ),
inference(resolution,[],[f59,f94]) ).
fof(f144,plain,
( ~ two(skc7,skc8)
| ~ spl0_2 ),
inference(resolution,[],[f60,f100]) ).
fof(f145,plain,
( $false
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f144,f76]) ).
fof(f146,plain,
~ spl0_2,
inference(avatar_contradiction_clause,[],[f145]) ).
fof(f152,plain,
( ! [X0] : seat(skc7,skf5(X0))
| ~ spl0_3 ),
inference(resolution,[],[f104,f48]) ).
fof(f153,plain,
( ~ two(skc7,skc8)
| fellow(skc7,skf8(skc8,skc7)) ),
inference(resolution,[],[f61,f90]) ).
fof(f156,plain,
fellow(skc7,skf8(skc8,skc7)),
inference(forward_subsumption_resolution,[],[f153,f76]) ).
fof(f172,plain,
( ! [X0] : furniture(skc7,skf5(X0))
| ~ spl0_3 ),
inference(resolution,[],[f152,f49]) ).
fof(f179,plain,
( ! [X0] : instrumentality(skc7,skf5(X0))
| ~ spl0_3 ),
inference(resolution,[],[f172,f50]) ).
fof(f180,plain,
man(skc7,skf8(skc8,skc7)),
inference(resolution,[],[f156,f2]) ).
fof(f182,plain,
( skf8(skc8,skc7) = skf5(skf8(skc8,skc7))
| ~ two(skc7,skc8) ),
inference(resolution,[],[f140,f61]) ).
fof(f184,plain,
skf8(skc8,skc7) = skf5(skf8(skc8,skc7)),
inference(forward_subsumption_resolution,[],[f182,f76]) ).
fof(f187,plain,
( ! [X0] : artifact(skc7,skf5(X0))
| ~ spl0_3 ),
inference(resolution,[],[f179,f30]) ).
fof(f190,plain,
( ! [X0] : object(skc7,skf5(X0))
| ~ spl0_3 ),
inference(resolution,[],[f187,f31]) ).
fof(f191,plain,
( ! [X0] : unisex(skc7,skf5(X0))
| ~ spl0_3 ),
inference(resolution,[],[f190,f35]) ).
fof(f193,plain,
male(skc7,skf8(skc8,skc7)),
inference(resolution,[],[f180,f14]) ).
fof(f195,plain,
( ! [X0] : ~ male(skc7,skf5(X0))
| ~ spl0_3 ),
inference(resolution,[],[f191,f52]) ).
fof(f234,plain,
( ~ male(skc7,skf8(skc8,skc7))
| ~ spl0_3 ),
inference(superposition,[],[f195,f184]) ).
fof(f238,plain,
( $false
| ~ spl0_3 ),
inference(forward_subsumption_resolution,[],[f234,f193]) ).
fof(f239,plain,
~ spl0_3,
inference(avatar_contradiction_clause,[],[f238]) ).
cnf(s2,plain,
( spl0_2
| spl0_3 ),
inference(sat_conversion,[],[f105]) ).
cnf(s3,plain,
~ spl0_2,
inference(sat_conversion,[],[f146]) ).
cnf(s7,plain,
~ spl0_3,
inference(sat_conversion,[],[f239]) ).
cnf(s8,plain,
$false,
inference(rat,[],[s2,s7,s3]) ).
fof(f240,plain,
$false,
inference(avatar_sat_refutation,[],[s8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NLP145-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.40 % Computer : n018.cluster.edu
% 0.12/0.40 % Model : x86_64 x86_64
% 0.12/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.40 % Memory : 8046.5625MB
% 0.12/0.40 % OS : Linux 6.8.0-71-generic
% 0.12/0.40 % CPULimit : 300
% 0.12/0.40 % WCLimit : 300
% 0.12/0.40 % DateTime : Sun Sep 27 18:11:54 UTC 2026
% 0.12/0.41 % CPUTime :
% 0.12/0.41 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.44 Running first-order theorem proving
% 0.12/0.44 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
% 3.60/1.41 % (2646628)Input is clausal, will run a generic CNF schedule.
% 3.60/1.41 % (2646637)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2360478682:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.60/1.41 % (2646637)Refutation not found, incomplete strategy
% 3.60/1.41 % (2646637)------------------------------
% 3.60/1.41 % (2646637)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.60/1.41 % (2646637)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.60/1.41 % (2646637)CaDiCaL version: 2.1.3
% 3.60/1.41 % (2646637)Termination reason: Refutation not found, incomplete strategy
% 3.60/1.41 % (2646637)Time elapsed: 0.001 s
% 3.60/1.41 % (2646637)Peak memory usage: 88 MB
% 3.60/1.41 % (2646637)Instructions burned: 2 (million)
% 3.60/1.41 % (2646633)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=2570817152:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.60/1.41 % (2646636)lrs+10_1_sil=8000:sp=occurrence:random_seed=3787291710:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.60/1.41 % (2646635)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=674608455:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.60/1.41 % (2646634)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2897940653:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.60/1.41 % (2646636)First to succeed.
% 3.60/1.41 % (2646636)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2646628"
% 3.60/1.41 % (2646639)dis-21_1_sil=8000:lcm=predicate:random_seed=2035911329:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 3.60/1.41 % (2646638)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2571939501:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.60/1.41 % (2646638)Also succeeded, but the first one will report.
% 3.60/1.41 % (2646639)Instruction limit reached!
% 3.60/1.41 % (2646639)------------------------------
% 3.60/1.41 % (2646639)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.60/1.41 % (2646639)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.60/1.41 % (2646639)CaDiCaL version: 2.1.3
% 3.60/1.41 % (2646639)Termination reason: Instruction limit
% 3.60/1.41 % (2646639)Termination phase: Saturation
% 3.60/1.41 % (2646639)Time elapsed: 0.061 s
% 3.60/1.41 % (2646639)Peak memory usage: 88 MB
% 3.60/1.41 % (2646639)Instructions burned: 118 (million)
% 3.60/1.41 % (2646637)------------------------------
% 3.60/1.41 % (2646637)------------------------------
% 3.60/1.41 % (2646648)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=1041809038:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2997 on theBenchmark for (2997ds/189Mi)
% 3.60/1.41 % (2646647)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=31416610:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 3.60/1.41 % (2646648)Refutation not found, incomplete strategy
% 3.60/1.41 % (2646648)------------------------------
% 3.60/1.41 % (2646648)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.60/1.41 % (2646648)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.60/1.41 % (2646648)CaDiCaL version: 2.1.3
% 3.60/1.41 % (2646648)Termination reason: Refutation not found, incomplete strategy
% 3.60/1.41 % (2646648)Time elapsed: 0.003 s
% 3.60/1.41 % (2646648)Peak memory usage: 88 MB
% 3.60/1.41 % (2646648)Instructions burned: 5 (million)
% 3.60/1.41 % (2646647)Refutation not found, incomplete strategy
% 3.60/1.41 % (2646647)------------------------------
% 3.60/1.41 % (2646647)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.60/1.41 % (2646647)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.60/1.41 % (2646647)CaDiCaL version: 2.1.3
% 3.60/1.41 % (2646647)Termination reason: Refutation not found, incomplete strategy
% 3.60/1.41 % (2646647)Time elapsed: 0.003 s
% 3.60/1.41 % (2646647)Peak memory usage: 88 MB
% 3.60/1.41 % (2646647)Instructions burned: 3 (million)
% 3.60/1.41 % (2646636)Refutation found. Thanks to Tanya!
% 3.60/1.41 % SZS status Unsatisfiable for theBenchmark
% 3.60/1.41 % SZS output start Proof for theBenchmark
% See solution above
% 3.60/1.42 % (2646636)------------------------------
% 3.60/1.42 % (2646636)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.60/1.42 % (2646636)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.60/1.42 % (2646636)CaDiCaL version: 2.1.3
% 3.60/1.42 % (2646636)Termination reason: Refutation
% 3.60/1.42 % (2646636)Time elapsed: 0.006 s
% 3.60/1.42 % (2646636)Peak memory usage: 89 MB
% 3.60/1.42 % (2646636)Instructions burned: 6 (million)
% 3.60/1.42 % (2646636)------------------------------
% 3.60/1.42 % (2646636)------------------------------
% 3.60/1.42 % (2646628)Success in time 0.432 s
% 3.60/1.42 % Vampire exiting
%------------------------------------------------------------------------------