%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : NUM743_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 : n010.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 12:25:33 PM UTC 2026
% Result : Theorem 0.21s 0.54s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 8
% Syntax : Number of formulae : 38 ( 14 unt; 0 typ; 2 def)
% Number of atoms : 78 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 76 ( 36 ~; 32 |; 0 &)
% ( 2 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 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 : 5 ( 4 usr; 3 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 34 ( 0 sgn 34 !; 0 ?; 34 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
frac: $tType ).
tff(func_def_0,type,
x: frac ).
tff(func_def_1,type,
y: frac ).
tff(func_def_2,type,
z: frac ).
tff(pred_def_1,type,
lessf: ( frac * frac ) > $o ).
tff(pred_def_2,type,
eq: ( frac * frac ) > $o ).
tff(f1,axiom,
lessf(x,y),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l) ).
tff(f2,axiom,
( ~ lessf(y,z)
=> eq(y,z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',k) ).
tff(f4,axiom,
! [X0: frac,X1: frac,X2: frac,X3: frac] :
( lessf(X0,X1)
=> ( eq(X0,X2)
=> ( eq(X1,X3)
=> lessf(X2,X3) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',satz45) ).
tff(f5,axiom,
! [X0: frac] : eq(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',satz37) ).
tff(f6,axiom,
! [X0: frac,X1: frac,X2: frac] :
( lessf(X0,X1)
=> ( lessf(X1,X2)
=> lessf(X0,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',satz50) ).
tff(f7,conjecture,
lessf(x,z),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',satz51b) ).
tff(f8,negated_conjecture,
~ lessf(x,z),
inference(negated_conjecture,[status(cth)],[f7]) ).
tff(f12,plain,
~ lessf(x,z),
inference(flattening,[],[f8]) ).
tff(f13,plain,
( eq(y,z)
| lessf(y,z) ),
inference(ennf_transformation,[],[f2]) ).
tff(f15,plain,
! [X0: frac,X1: frac,X2: frac,X3: frac] :
( lessf(X2,X3)
| ~ eq(X1,X3)
| ~ eq(X0,X2)
| ~ lessf(X0,X1) ),
inference(ennf_transformation,[],[f4]) ).
tff(f16,plain,
! [X0: frac,X1: frac,X2: frac,X3: frac] :
( lessf(X2,X3)
| ~ eq(X1,X3)
| ~ eq(X0,X2)
| ~ lessf(X0,X1) ),
inference(flattening,[],[f15]) ).
tff(f17,plain,
! [X0: frac,X1: frac,X2: frac] :
( lessf(X0,X2)
| ~ lessf(X1,X2)
| ~ lessf(X0,X1) ),
inference(ennf_transformation,[],[f6]) ).
tff(f18,plain,
! [X0: frac,X1: frac,X2: frac] :
( lessf(X0,X2)
| ~ lessf(X1,X2)
| ~ lessf(X0,X1) ),
inference(flattening,[],[f17]) ).
tff(f19,plain,
lessf(x,y),
inference(cnf_transformation,[],[f1]) ).
tff(f20,plain,
( eq(y,z)
| lessf(y,z) ),
inference(cnf_transformation,[],[f13]) ).
tff(f22,plain,
! [X2: frac,X3: frac,X0: frac,X1: frac] :
( ~ eq(X1,X3)
| lessf(X2,X3)
| ~ eq(X0,X2)
| ~ lessf(X0,X1) ),
inference(cnf_transformation,[],[f16]) ).
tff(f23,plain,
! [X0: frac] : eq(X0,X0),
inference(cnf_transformation,[],[f5]) ).
tff(f24,plain,
! [X2: frac,X0: frac,X1: frac] :
( ~ lessf(X1,X2)
| lessf(X0,X2)
| ~ lessf(X0,X1) ),
inference(cnf_transformation,[],[f18]) ).
tff(f25,plain,
~ lessf(x,z),
inference(cnf_transformation,[],[f12]) ).
tff(f30,definition,
( spl0_1
<=> lessf(y,z) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
tff(f32,plain,
( lessf(y,z)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f30]) ).
tff(f34,definition,
( spl0_2
<=> eq(y,z) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
tff(f36,plain,
( eq(y,z)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f34]) ).
tff(f37,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f20,f34,f30]) ).
tff(f68,plain,
( ! [X0: frac] :
( ~ lessf(X0,y)
| lessf(X0,z) )
| ~ spl0_1 ),
inference(resolution,[],[f24,f32]) ).
tff(f93,plain,
( lessf(x,z)
| ~ spl0_1 ),
inference(resolution,[],[f68,f19]) ).
tff(f94,plain,
( $false
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[],[f93,f25]) ).
tff(f95,plain,
~ spl0_1,
inference(avatar_contradiction_clause,[],[f94]) ).
tff(f152,plain,
( ! [X0: frac,X1: frac] :
( ~ eq(X1,X0)
| lessf(X0,z)
| ~ lessf(X1,y) )
| ~ spl0_2 ),
inference(resolution,[],[f22,f36]) ).
tff(f169,plain,
( ! [X0: frac] :
( ~ lessf(X0,y)
| lessf(X0,z) )
| ~ spl0_2 ),
inference(resolution,[],[f152,f23]) ).
tff(f171,plain,
( lessf(x,z)
| ~ spl0_2 ),
inference(resolution,[],[f169,f19]) ).
tff(f172,plain,
( $false
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f171,f25]) ).
tff(f173,plain,
~ spl0_2,
inference(avatar_contradiction_clause,[],[f172]) ).
cnf(s14,plain,
( spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f37]) ).
cnf(s53,plain,
~ spl0_1,
inference(sat_conversion,[],[f95]) ).
cnf(s93,plain,
~ spl0_2,
inference(sat_conversion,[],[f173]) ).
cnf(s94,plain,
$false,
inference(rat,[],[s14,s93,s53]) ).
tff(f174,plain,
$false,
inference(avatar_sat_refutation,[],[s94]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : NUM743_8 : TPTP v9.3.1. Released v8.0.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.20/0.44 % Computer : n010.cluster.edu
% 0.20/0.44 % Model : x86_64 x86_64
% 0.20/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.20/0.44 % Memory : 8046.5625MB
% 0.20/0.44 % OS : Linux 6.8.0-71-generic
% 0.20/0.44 % CPULimit : 300
% 0.20/0.44 % WCLimit : 300
% 0.20/0.44 % DateTime : Sun Sep 27 21:16:02 UTC 2026
% 0.20/0.45 % CPUTime :
% 0.20/0.45 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.21/0.50 Running first-order model finding
% 0.21/0.50 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
% 0.21/0.54 % (1310563)Will run a generic schedule for satisfiability detection.
% 0.21/0.54 % (1310570)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3329282174:i=88024:add=on:rawr=on_3000 on theBenchmark for (3000ds/88024Mi)
% 0.21/0.54 % (1310570) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1310563-1310570"...
% 0.21/0.54 % (1310570)...printing done.
% 0.21/0.54 % (1310569)% WARNING: option uhcvi not known.
% 0.21/0.54 % (1310570)Refutation found. Thanks to Tanya!
% 0.21/0.54 % SZS status Theorem for theBenchmark
% 0.21/0.54 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.54 % (1310570)------------------------------
% 0.21/0.54 % (1310570)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.54 % (1310570)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.54 % (1310570)CaDiCaL version: 2.1.3
% 0.21/0.54 % (1310570)Termination reason: Refutation
% 0.21/0.54 % (1310570)Time elapsed: 0.004 s
% 0.21/0.54 % (1310570)Peak memory usage: 12 MB
% 0.21/0.54 % (1310570)Instructions burned: 4 (million)
% 0.21/0.54 % (1310563)Success in time 0.028 s
% 0.21/0.54 % Vampire exiting
%------------------------------------------------------------------------------