%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : NUM656_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 : n005.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 12:25:13 PM UTC 2026
% Result : Theorem 0.17s 0.47s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 5
% Syntax : Number of formulae : 30 ( 10 unt; 0 typ; 2 def)
% Number of atoms : 66 ( 17 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 80 ( 44 ~; 17 |; 4 &)
% ( 2 <=>; 13 =>; 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 ( 4 usr; 3 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 15 ( 0 sgn 15 !; 0 ?; 15 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
nat: $tType ).
tff(func_def_0,type,
x: nat ).
tff(func_def_1,type,
y: nat ).
tff(pred_def_1,type,
more: ( nat * nat ) > $o ).
tff(pred_def_2,type,
less: ( nat * nat ) > $o ).
tff(f1,axiom,
more(x,y),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m) ).
tff(f3,axiom,
! [X0: nat,X1: nat] :
~ ( ( ( X0 = X1 )
=> ~ more(X0,X1) )
=> ~ ~ ( ( more(X0,X1)
=> ~ less(X0,X1) )
=> ~ ( less(X0,X1)
=> ( X0 != X1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',satz10b) ).
tff(f4,conjecture,
~ ( ~ less(x,y)
=> ( x = y ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',satz10g) ).
tff(f5,negated_conjecture,
~ ~ ( ~ less(x,y)
=> ( x = y ) ),
inference(negated_conjecture,[status(cth)],[f4]) ).
tff(f8,plain,
! [X0: nat,X1: nat] :
~ ( ( ( X0 = X1 )
=> ~ more(X0,X1) )
=> ( ( more(X0,X1)
=> ~ less(X0,X1) )
=> ~ ( less(X0,X1)
=> ( X0 != X1 ) ) ) ),
inference(flattening,[],[f3]) ).
tff(f9,plain,
( ~ less(x,y)
=> ( x = y ) ),
inference(flattening,[],[f5]) ).
tff(f11,plain,
! [X0: nat,X1: nat] :
( ( ( X0 != X1 )
| ~ less(X0,X1) )
& ( ~ less(X0,X1)
| ~ more(X0,X1) )
& ( ~ more(X0,X1)
| ( X0 != X1 ) ) ),
inference(ennf_transformation,[],[f8]) ).
tff(f12,plain,
! [X0: nat,X1: nat] :
( ( ( X0 != X1 )
| ~ less(X0,X1) )
& ( ~ less(X0,X1)
| ~ more(X0,X1) )
& ( ~ more(X0,X1)
| ( X0 != X1 ) ) ),
inference(flattening,[],[f11]) ).
tff(f13,plain,
( ( x = y )
| less(x,y) ),
inference(ennf_transformation,[],[f9]) ).
tff(f14,plain,
more(x,y),
inference(cnf_transformation,[],[f1]) ).
tff(f16,plain,
! [X0: nat,X1: nat] :
( ~ more(X0,X1)
| ~ less(X0,X1) ),
inference(cnf_transformation,[],[f12]) ).
tff(f17,plain,
! [X0: nat,X1: nat] :
( ( X0 != X1 )
| ~ more(X0,X1) ),
inference(cnf_transformation,[],[f12]) ).
tff(f18,plain,
( less(x,y)
| ( x = y ) ),
inference(cnf_transformation,[],[f13]) ).
tff(f19,plain,
! [X1: nat] : ~ more(X1,X1),
inference(equality_resolution,[],[f17]) ).
tff(f21,plain,
! [X0: nat,X1: nat] :
( ~ more(X0,X1)
| less(X0,X1) ),
inference(consistent_polarity_flipping,[],[f16]) ).
tff(f23,plain,
( ~ less(x,y)
| ( x = y ) ),
inference(consistent_polarity_flipping,[],[f18]) ).
tff(f25,definition,
( spl0_1
<=> ( x = y ) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
tff(f27,plain,
( ( x = y )
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f25]) ).
tff(f29,definition,
( spl0_2
<=> less(x,y) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
tff(f32,plain,
( spl0_1
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f23,f29,f25]) ).
tff(f33,plain,
less(x,y),
inference(resolution,[],[f21,f14]) ).
tff(f36,plain,
spl0_2,
inference(avatar_split_clause,[],[f33,f29]) ).
tff(f37,plain,
( more(x,x)
| ~ spl0_1 ),
inference(superposition,[],[f14,f27]) ).
tff(f38,plain,
( $false
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[],[f37,f19]) ).
tff(f39,plain,
~ spl0_1,
inference(avatar_contradiction_clause,[],[f38]) ).
cnf(s1,plain,
( spl0_1
| ~ spl0_2 ),
inference(sat_conversion,[],[f32]) ).
cnf(s3,plain,
spl0_2,
inference(sat_conversion,[],[f36]) ).
cnf(s4,plain,
~ spl0_1,
inference(sat_conversion,[],[f39]) ).
cnf(s5,plain,
$false,
inference(rat,[],[s1,s3,s4]) ).
tff(f40,plain,
$false,
inference(avatar_sat_refutation,[],[s5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM656_8 : TPTP v9.3.1. Released v8.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.39 % Computer : n005.cluster.edu
% 0.10/0.39 % Model : x86_64 x86_64
% 0.10/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.39 % Memory : 8046.5625MB
% 0.10/0.39 % OS : Linux 6.8.0-71-generic
% 0.10/0.39 % CPULimit : 300
% 0.10/0.39 % WCLimit : 300
% 0.10/0.39 % DateTime : Sun Sep 27 20:58:56 UTC 2026
% 0.10/0.39 % CPUTime :
% 0.10/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.42 Running first-order model finding
% 0.10/0.42 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
% 0.17/0.47 % (153450)Will run a generic schedule for satisfiability detection.
% 0.17/0.47 % (153455)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2656181674_2999 on theBenchmark for (2999ds/0Mi)
% 0.17/0.47 % Detected minimum model sizes of [1,1]
% 0.17/0.47 % Detected maximum model sizes of [2,2]
% 0.17/0.47 % TRYING [1,1]
% 0.17/0.47 % TRYING [2,1]
% 0.17/0.47 % (153455)Cannot enumerate next child to try in an incomplete setup
% 0.17/0.47 % (153455)Refutation not found, incomplete strategy
% 0.17/0.47 % (153455)------------------------------
% 0.17/0.47 % (153455)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.17/0.47 % (153455)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/0.47 % (153455)CaDiCaL version: 2.1.3
% 0.17/0.47 % (153455)Termination reason: Refutation not found, incomplete strategy
% 0.17/0.47 % (153455)Time elapsed: 0.001 s
% 0.17/0.47 % (153455)Peak memory usage: 11 MB
% 0.17/0.47 % (153455)------------------------------
% 0.17/0.47 % (153455)------------------------------
% 0.17/0.47 % (153456)% WARNING: option uhcvi not known.
% 0.17/0.47 % (153456)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3023491028:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.17/0.47 % (153457)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1891932991:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.17/0.47 % (153458)dis+10_1_sil=32000:sp=arity:random_seed=2839849369:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.17/0.47 % (153459)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3721739044:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.17/0.47 % (153461)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3384576051:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.17/0.47 % (153460)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3006513424:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.17/0.47 % (153456) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-153450-153456"...
% 0.17/0.47 % (153458) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-153450-153458"...
% 0.17/0.47 % (153459) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-153450-153459"...
% 0.17/0.47 % (153457) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-153450-153457"...
% 0.17/0.47 % (153461) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-153450-153461"...
% 0.17/0.47 % (153460) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-153450-153460"...
% 0.17/0.47 % (153456)...printing done.
% 0.17/0.47 % (153458)...printing done.
% 0.17/0.47 % (153459)...printing done.
% 0.17/0.47 % (153457)...printing done.
% 0.17/0.47 % (153461)...printing done.
% 0.17/0.47 % (153456)Refutation found. Thanks to Tanya!
% 0.17/0.47 % SZS status Theorem for theBenchmark
% 0.17/0.47 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/0.47 % (153456)------------------------------
% 0.17/0.47 % (153456)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.17/0.47 % (153456)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/0.47 % (153456)CaDiCaL version: 2.1.3
% 0.17/0.47 % (153456)Termination reason: Refutation
% 0.17/0.47 % (153456)Time elapsed: 0.002 s
% 0.17/0.47 % (153456)Peak memory usage: 12 MB
% 0.17/0.47 % (153456)Instructions burned: 1 (million)
% 0.17/0.47 % (153450)Success in time 0.037 s
% 0.17/0.47 % Vampire exiting
%------------------------------------------------------------------------------