%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : NUM784_8 : TPTP v9.3.1. Released v8.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n009.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 12:25:42 PM UTC 2026
% Result : Theorem 0.13s 0.42s
% Output : Refutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 5
% Syntax : Number of formulae : 29 ( 12 unt; 0 typ; 2 def)
% Number of atoms : 62 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 73 ( 40 ~; 16 |; 4 &)
% ( 2 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 6 ( 5 usr; 3 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 14 ( 0 sgn 14 !; 0 ?; 14 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
rat: $tType ).
tff(func_def_0,type,
x0: rat ).
tff(func_def_1,type,
y0: rat ).
tff(pred_def_1,type,
more: ( rat * rat ) > $o ).
tff(pred_def_2,type,
is: ( rat * rat ) > $o ).
tff(pred_def_3,type,
less: ( rat * rat ) > $o ).
tff(f1,axiom,
( ~ more(x0,y0)
=> is(x0,y0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m) ).
tff(f3,axiom,
! [X0: rat,X1: rat] :
~ ( ( is(X0,X1)
=> ~ more(X0,X1) )
=> ~ ~ ( ( more(X0,X1)
=> ~ less(X0,X1) )
=> ~ ( less(X0,X1)
=> ~ is(X0,X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',satz81b) ).
tff(f4,conjecture,
~ less(x0,y0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',satz81c) ).
tff(f5,negated_conjecture,
~ ~ less(x0,y0),
inference(negated_conjecture,[status(cth)],[f4]) ).
tff(f8,plain,
! [X0: rat,X1: rat] :
~ ( ( is(X0,X1)
=> ~ more(X0,X1) )
=> ( ( more(X0,X1)
=> ~ less(X0,X1) )
=> ~ ( less(X0,X1)
=> ~ is(X0,X1) ) ) ),
inference(flattening,[],[f3]) ).
tff(f9,plain,
less(x0,y0),
inference(flattening,[],[f5]) ).
tff(f10,plain,
( is(x0,y0)
| more(x0,y0) ),
inference(ennf_transformation,[],[f1]) ).
tff(f12,plain,
! [X0: rat,X1: rat] :
( ( ~ is(X0,X1)
| ~ less(X0,X1) )
& ( ~ less(X0,X1)
| ~ more(X0,X1) )
& ( ~ more(X0,X1)
| ~ is(X0,X1) ) ),
inference(ennf_transformation,[],[f8]) ).
tff(f13,plain,
! [X0: rat,X1: rat] :
( ( ~ is(X0,X1)
| ~ less(X0,X1) )
& ( ~ less(X0,X1)
| ~ more(X0,X1) )
& ( ~ more(X0,X1)
| ~ is(X0,X1) ) ),
inference(flattening,[],[f12]) ).
tff(f14,plain,
( more(x0,y0)
| is(x0,y0) ),
inference(cnf_transformation,[],[f10]) ).
tff(f15,plain,
! [X0: rat,X1: rat] :
( ~ less(X0,X1)
| ~ is(X0,X1) ),
inference(cnf_transformation,[],[f13]) ).
tff(f16,plain,
! [X0: rat,X1: rat] :
( ~ less(X0,X1)
| ~ more(X0,X1) ),
inference(cnf_transformation,[],[f13]) ).
tff(f18,plain,
less(x0,y0),
inference(cnf_transformation,[],[f9]) ).
tff(f19,plain,
( more(x0,y0)
| ~ is(x0,y0) ),
inference(consistent_polarity_flipping,[],[f14]) ).
tff(f21,plain,
! [X0: rat,X1: rat] :
( ~ less(X0,X1)
| is(X0,X1) ),
inference(consistent_polarity_flipping,[],[f15]) ).
tff(f23,definition,
( spl0_1
<=> is(x0,y0) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
tff(f25,plain,
( ~ is(x0,y0)
| spl0_1 ),
inference(avatar_component_clause,[],[f23]) ).
tff(f27,definition,
( spl0_2
<=> more(x0,y0) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
tff(f30,plain,
( ~ spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f19,f27,f23]) ).
tff(f31,plain,
~ more(x0,y0),
inference(resolution,[],[f16,f18]) ).
tff(f32,plain,
~ spl0_2,
inference(avatar_split_clause,[],[f31,f27]) ).
tff(f33,plain,
is(x0,y0),
inference(resolution,[],[f21,f18]) ).
tff(f34,plain,
( $false
| spl0_1 ),
inference(forward_subsumption_resolution,[],[f33,f25]) ).
tff(f35,plain,
spl0_1,
inference(avatar_contradiction_clause,[],[f34]) ).
cnf(s1,plain,
( ~ spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f30]) ).
cnf(s2,plain,
~ spl0_2,
inference(sat_conversion,[],[f32]) ).
cnf(s3,plain,
spl0_1,
inference(sat_conversion,[],[f35]) ).
cnf(s4,plain,
$false,
inference(rat,[],[s1,s2,s3]) ).
tff(f36,plain,
$false,
inference(avatar_sat_refutation,[],[s4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUM784_8 : TPTP v9.3.1. Released v8.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.35 % Computer : n009.cluster.edu
% 0.10/0.35 % Model : x86_64 x86_64
% 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35 % Memory : 8046.5625MB
% 0.10/0.35 % OS : Linux 6.8.0-71-generic
% 0.10/0.35 % CPULimit : 300
% 0.10/0.35 % WCLimit : 300
% 0.10/0.35 % DateTime : Sun Sep 27 21:23:15 UTC 2026
% 0.10/0.35 % CPUTime :
% 0.10/0.35 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.13/0.39 Running first-order model finding
% 0.13/0.39 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.42 % (2406908)Will run a generic schedule for satisfiability detection.
% 0.13/0.42 % (2406917)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1575656579_3000 on theBenchmark for (3000ds/0Mi)
% 0.13/0.42 % Detected minimum model sizes of [1,1]
% 0.13/0.42 % Detected maximum model sizes of [2,2]
% 0.13/0.42 % TRYING [1,1]
% 0.13/0.42 % (2406917)Cannot enumerate next child to try in an incomplete setup
% 0.13/0.42 % (2406917)Refutation not found, incomplete strategy
% 0.13/0.42 % (2406917)------------------------------
% 0.13/0.42 % (2406917)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.13/0.42 % (2406917)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.13/0.42 % (2406917)CaDiCaL version: 2.1.3
% 0.13/0.42 % (2406917)Termination reason: Refutation not found, incomplete strategy
% 0.13/0.42 % (2406917)Time elapsed: 0.0000 s
% 0.13/0.42 % (2406917)Peak memory usage: 11 MB
% 0.13/0.42 % (2406917)------------------------------
% 0.13/0.42 % (2406917)------------------------------
% 0.13/0.42 % (2406918)% WARNING: option uhcvi not known.
% 0.13/0.42 % (2406918)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3033009814:i=135531:add=off:rawr=on_3000 on theBenchmark for (3000ds/135531Mi)
% 0.13/0.42 % (2406922)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=671488839:i=131_3000 on theBenchmark for (3000ds/131Mi)
% 0.13/0.42 % (2406921)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1034144528:i=116_3000 on theBenchmark for (3000ds/116Mi)
% 0.13/0.42 % (2406919)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2644162109:i=88024:add=on:rawr=on_3000 on theBenchmark for (3000ds/88024Mi)
% 0.13/0.42 % (2406923)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=499040415:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_3000 on theBenchmark for (3000ds/159Mi)
% 0.13/0.42 % (2406920)dis+10_1_sil=32000:sp=arity:random_seed=2695315369:i=103:fgj=on_3000 on theBenchmark for (3000ds/103Mi)
% 0.13/0.42 % (2406918) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2406908-2406918"...
% 0.13/0.42 % (2406921) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2406908-2406921"...
% 0.13/0.42 % (2406922) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2406908-2406922"...
% 0.13/0.42 % (2406923) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2406908-2406923"...
% 0.13/0.42 % (2406919) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2406908-2406919"...
% 0.13/0.42 % (2406920) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2406908-2406920"...
% 0.13/0.42 % (2406918)...printing done.
% 0.13/0.42 % (2406921)...printing done.
% 0.13/0.42 % (2406922)...printing done.
% 0.13/0.42 % (2406923)...printing done.
% 0.13/0.42 % (2406919)...printing done.
% 0.13/0.42 % (2406920)...printing done.
% 0.13/0.42 % (2406918)Refutation found. Thanks to Tanya!
% 0.13/0.42 % SZS status Theorem for theBenchmark
% 0.13/0.42 % SZS output start Proof for theBenchmark
% See solution above
% 0.13/0.42 % (2406918)------------------------------
% 0.13/0.42 % (2406918)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.13/0.42 % (2406918)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.13/0.42 % (2406918)CaDiCaL version: 2.1.3
% 0.13/0.42 % (2406918)Termination reason: Refutation
% 0.13/0.42 % (2406918)Time elapsed: 0.002 s
% 0.13/0.42 % (2406918)Peak memory usage: 12 MB
% 0.13/0.42 % (2406918)Instructions burned: 1 (million)
% 0.13/0.42 % (2406908)Success in time 0.026 s
% 0.13/0.42 % Vampire exiting
%------------------------------------------------------------------------------