%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : NUM647^1 : 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 : n011.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 08:19:12 AM UTC 2026
% Result : Theorem 0.19s 0.28s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 3
% Syntax : Number of formulae : 12 ( 8 unt; 0 typ; 0 def)
% Number of atoms : 16 ( 15 equ; 0 cnn)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 36 ( 8 ~; 3 |; 0 &; 24 @)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 8 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 10 ( 0 ^; 10 !; 0 ?; 10 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
nat: $tType ).
thf(type_def_6,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_0,type,
x: nat ).
thf(func_def_1,type,
y: nat ).
thf(func_def_2,type,
z: nat ).
thf(func_def_3,type,
pl: nat > nat > nat ).
thf(func_def_7,type,
vNOT: $o > $o ).
thf(f1,axiom,
( ( pl @ x @ y )
= ( pl @ x @ z ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',i) ).
thf(f3,axiom,
! [X0: nat,X1: nat,X2: nat] :
( ( X1 != X2 )
=> ( ( pl @ X0 @ X1 )
!= ( pl @ X0 @ X2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',satz8) ).
thf(f4,conjecture,
y = z,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',satz8a) ).
thf(f5,negated_conjecture,
y != z,
inference(negated_conjecture,[status(cth)],[f4]) ).
thf(f9,plain,
y != z,
inference(flattening,[],[f5]) ).
thf(f11,plain,
! [X0: nat,X1: nat,X2: nat] :
( ( ( pl @ X0 @ X1 )
!= ( pl @ X0 @ X2 ) )
| ( X1 = X2 ) ),
inference(ennf_transformation,[],[f3]) ).
thf(f12,plain,
( ( pl @ x @ y )
= ( pl @ x @ z ) ),
inference(cnf_transformation,[],[f1]) ).
thf(f14,plain,
! [X2: nat,X0: nat,X1: nat] :
( ( ( pl @ X0 @ X1 )
!= ( pl @ X0 @ X2 ) )
| ( X1 = X2 ) ),
inference(cnf_transformation,[],[f11]) ).
thf(f15,plain,
y != z,
inference(cnf_transformation,[],[f9]) ).
thf(f26,plain,
! [X0: nat] :
( ( ( pl @ x @ y )
!= ( pl @ x @ X0 ) )
| ( z = X0 ) ),
inference(constrained_superposition,[],[f14,f12]) ).
thf(f28,plain,
y = z,
inference(equality_resolution,[],[f26]) ).
thf(f29,plain,
$false,
inference(forward_subsumption_resolution,[],[f28,f15]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM647^1 : TPTP v9.3.1. Released v3.7.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.20 % Computer : n011.cluster.edu
% 0.08/0.20 % Model : x86_64 x86_64
% 0.08/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.20 % Memory : 8046.5625MB
% 0.08/0.20 % OS : Linux 6.8.0-71-generic
% 0.08/0.20 % CPULimit : 300
% 0.08/0.20 % WCLimit : 300
% 0.08/0.20 % DateTime : Tue Sep 29 12:30:17 UTC 2026
% 0.08/0.21 % CPUTime :
% 0.08/0.21 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.24 Running first-order model finding
% 0.08/0.24 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
% 0.19/0.28 % (19907)Will run a generic schedule for satisfiability detection.
% 0.19/0.28 % (19917)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=4156718655:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.19/0.28 % (19917) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-19907-19917"...
% 0.19/0.28 % (19917)...printing done.
% 0.19/0.28 % (19917)Refutation found. Thanks to Tanya!
% 0.19/0.28 % SZS status Theorem for theBenchmark
% 0.19/0.28 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.28 % (19917)------------------------------
% 0.19/0.28 % (19917)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.28 % (19917)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.28 % (19917)CaDiCaL version: 2.1.3
% 0.19/0.28 % (19917)Termination reason: Refutation
% 0.19/0.28 % (19917)Time elapsed: 0.001 s
% 0.19/0.28 % (19917)Peak memory usage: 12 MB
% 0.19/0.28 % (19917)Instructions burned: 1 (million)
% 0.19/0.28 % (19907)Success in time 0.028 s
% 0.19/0.28 % Vampire exiting
%------------------------------------------------------------------------------