%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : NUM635^2 : TPTP v9.3.1. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n012.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 : Wed Sep 30 08:19:09 AM UTC 2026
% Result : Theorem 0.06s 0.20s
% Output : Refutation 0.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 2
% Syntax : Number of formulae : 12 ( 4 unt; 0 typ; 0 def)
% Number of atoms : 32 ( 19 equ; 0 cnn)
% Maximal formula atoms : 2 ( 2 avg)
% Number of connectives : 37 ( 11 ~; 3 |; 2 &; 18 @)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 8 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 13 ( 0 ^; 11 !; 2 ?; 13 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_1,type,
succ: $i > $i ).
thf(func_def_5,type,
sK0: ( $i > $o ) > $i ).
thf(func_def_8,type,
vNOT: $o > $o ).
thf(f2,axiom,
! [X0: $i,X1: $i] :
( ( ( succ @ X0 )
= ( succ @ X1 ) )
=> ( X0 = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',succ_injective) ).
thf(f4,conjecture,
! [X0: $i,X1: $i] :
( ( X0 != X1 )
=> ( ( succ @ X0 )
!= ( succ @ X1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',satz1) ).
thf(f5,negated_conjecture,
~ ! [X0: $i,X1: $i] :
( ( X0 != X1 )
=> ( ( succ @ X0 )
!= ( succ @ X1 ) ) ),
inference(negated_conjecture,[status(cth)],[f4]) ).
thf(f8,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( ( succ @ X0 )
!= ( succ @ X1 ) ) ),
inference(ennf_transformation,[],[f2]) ).
thf(f11,plain,
? [X0: $i,X1: $i] :
( ( ( succ @ X0 )
= ( succ @ X1 ) )
& ( X0 != X1 ) ),
inference(ennf_transformation,[],[f5]) ).
thf(f14,plain,
( ( ( succ @ sK1 )
= ( succ @ sK2 ) )
& ( sK1 != sK2 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1,sK2]),skolemize(X0,sK1),skolemize(X1,sK2)],[f11]) ).
thf(f16,plain,
! [X0: $i,X1: $i] :
( ( ( succ @ X0 )
!= ( succ @ X1 ) )
| ( X0 = X1 ) ),
inference(cnf_transformation,[],[f8]) ).
thf(f19,plain,
sK1 != sK2,
inference(cnf_transformation,[],[f14]) ).
thf(f20,plain,
( ( succ @ sK1 )
= ( succ @ sK2 ) ),
inference(cnf_transformation,[],[f14]) ).
thf(f65,plain,
! [X0: $i] :
( ( ( succ @ X0 )
!= ( succ @ sK1 ) )
| ( sK2 = X0 ) ),
inference(constrained_superposition,[],[f16,f20]) ).
thf(f78,plain,
sK1 = sK2,
inference(equality_resolution,[],[f65]) ).
thf(f79,plain,
$false,
inference(forward_subsumption_resolution,[],[f78,f19]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUM635^2 : TPTP v9.3.1. Released v3.7.0.
% 0.00/0.04 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.06/0.15 % Computer : n012.cluster.edu
% 0.06/0.15 % Model : x86_64 x86_64
% 0.06/0.15 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.15 % Memory : 8046.5625MB
% 0.06/0.15 % OS : Linux 6.8.0-71-generic
% 0.06/0.15 % CPULimit : 300
% 0.06/0.15 % WCLimit : 300
% 0.06/0.15 % DateTime : Tue Sep 29 11:59:19 UTC 2026
% 0.06/0.15 % CPUTime :
% 0.06/0.15 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.06/0.18 Running first-order model finding
% 0.06/0.18 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
% 0.06/0.20 % (5811)Will run a generic schedule for satisfiability detection.
% 0.06/0.20 % (5818)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3562609496:i=88024:add=on:rawr=on_3000 on theBenchmark for (3000ds/88024Mi)
% 0.06/0.20 % (5818) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-5811-5818"...
% 0.06/0.20 % (5817)% WARNING: option uhcvi not known.
% 0.06/0.20 % (5818)...printing done.
% 0.06/0.20 % (5818)Refutation found. Thanks to Tanya!
% 0.06/0.20 % SZS status Theorem for theBenchmark
% 0.06/0.20 % SZS output start Proof for theBenchmark
% See solution above
% 0.06/0.20 % (5818)------------------------------
% 0.06/0.20 % (5818)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.06/0.20 % (5818)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.06/0.20 % (5818)CaDiCaL version: 2.1.3
% 0.06/0.20 % (5818)Termination reason: Refutation
% 0.06/0.20 % (5818)Time elapsed: 0.002 s
% 0.06/0.20 % (5818)Peak memory usage: 12 MB
% 0.06/0.20 % (5818)Instructions burned: 2 (million)
% 0.06/0.20 % (5811)Success in time 0.017 s
% 0.06/0.20 % Vampire exiting
%------------------------------------------------------------------------------