%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : NUM657_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 : n008.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 0.20s 0.51s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 5
% Syntax : Number of formulae : 30 ( 9 unt; 0 typ; 2 def)
% Number of atoms : 67 ( 16 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 83 ( 46 ~; 18 |; 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 : 13 ( 0 sgn 13 !; 0 ?; 13 :)
% 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,
less: ( nat * nat ) > $o ).
tff(pred_def_2,type,
more: ( nat * nat ) > $o ).
tff(f1,axiom,
less(x,y),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l) ).
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,
~ ( ~ more(x,y)
=> ( x = y ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',satz10h) ).
tff(f5,negated_conjecture,
~ ~ ( ~ more(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,
( ~ more(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 )
| more(x,y) ),
inference(ennf_transformation,[],[f9]) ).
tff(f14,plain,
less(x,y),
inference(cnf_transformation,[],[f1]) ).
tff(f15,plain,
! [X0: nat,X1: nat] :
( ~ less(X0,X1)
| ( X0 != X1 ) ),
inference(cnf_transformation,[],[f12]) ).
tff(f16,plain,
! [X0: nat,X1: nat] :
( ~ more(X0,X1)
| ~ less(X0,X1) ),
inference(cnf_transformation,[],[f12]) ).
tff(f18,plain,
( more(x,y)
| ( x = y ) ),
inference(cnf_transformation,[],[f13]) ).
tff(f20,plain,
! [X1: nat] : ~ less(X1,X1),
inference(equality_resolution,[],[f15]) ).
tff(f22,definition,
( spl0_1
<=> ( x = y ) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
tff(f24,plain,
( ( x = y )
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f22]) ).
tff(f26,definition,
( spl0_2
<=> more(x,y) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
tff(f28,plain,
( more(x,y)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f26]) ).
tff(f29,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f18,f26,f22]) ).
tff(f30,plain,
( ~ less(x,y)
| ~ spl0_2 ),
inference(resolution,[],[f16,f28]) ).
tff(f31,plain,
( $false
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f30,f14]) ).
tff(f32,plain,
~ spl0_2,
inference(avatar_contradiction_clause,[],[f31]) ).
tff(f34,plain,
( less(x,x)
| ~ spl0_1 ),
inference(superposition,[],[f14,f24]) ).
tff(f35,plain,
( $false
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[],[f34,f20]) ).
tff(f36,plain,
~ spl0_1,
inference(avatar_contradiction_clause,[],[f35]) ).
cnf(s1,plain,
( spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f29]) ).
cnf(s2,plain,
~ spl0_2,
inference(sat_conversion,[],[f32]) ).
cnf(s3,plain,
~ spl0_1,
inference(sat_conversion,[],[f36]) ).
cnf(s4,plain,
$false,
inference(rat,[],[s1,s2,s3]) ).
tff(f37,plain,
$false,
inference(avatar_sat_refutation,[],[s4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : NUM657_8 : TPTP v9.3.1. Released v8.0.0.
% 0.00/0.07 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.17/0.43 % Computer : n008.cluster.edu
% 0.17/0.43 % Model : x86_64 x86_64
% 0.17/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.43 % Memory : 8046.5625MB
% 0.17/0.43 % OS : Linux 6.8.0-71-generic
% 0.17/0.43 % CPULimit : 300
% 0.17/0.43 % WCLimit : 300
% 0.17/0.43 % DateTime : Sun Sep 27 20:59:54 UTC 2026
% 0.17/0.43 % CPUTime :
% 0.17/0.43 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.20/0.47 Running first-order model finding
% 0.20/0.47 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
% 0.20/0.51 % (1591729)Will run a generic schedule for satisfiability detection.
% 0.20/0.51 % (1591738)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3695356349:i=116_3000 on theBenchmark for (3000ds/116Mi)
% 0.20/0.51 % (1591738) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1591729-1591738"...
% 0.20/0.51 % (1591738)...printing done.
% 0.20/0.51 % (1591738)Refutation found. Thanks to Tanya!
% 0.20/0.51 % SZS status Theorem for theBenchmark
% 0.20/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.51 % (1591738)------------------------------
% 0.20/0.51 % (1591738)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.51 % (1591738)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.51 % (1591738)CaDiCaL version: 2.1.3
% 0.20/0.51 % (1591738)Termination reason: Refutation
% 0.20/0.51 % (1591738)Time elapsed: 0.002 s
% 0.20/0.51 % (1591738)Peak memory usage: 12 MB
% 0.20/0.51 % (1591738)Instructions burned: 1 (million)
% 0.20/0.51 % (1591729)Success in time 0.023 s
% 0.20/0.51 % Vampire exiting
%------------------------------------------------------------------------------