%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM647^1 : TPTP v9.3.1. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n020.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 08:18:22 AM UTC 2026
% Result : Theorem 0.08s 0.25s
% Output : Refutation 0.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 3
% Syntax : Number of formulae : 13 ( 8 unt; 0 typ; 0 def)
% Number of atoms : 18 ( 17 equ; 0 cnn)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 42 ( 9 ~; 4 |; 0 &; 28 @)
% ( 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 : 13 ( 0 ^; 13 !; 0 ?; 13 :)
% 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/sandbox2/benchmark/theBenchmark.p',i) ).
thf(f3,axiom,
! [X0: nat,X1: nat,X2: nat] :
( ( X1 != X2 )
=> ( ( pl @ X0 @ X1 )
!= ( pl @ X0 @ X2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',satz8) ).
thf(f4,conjecture,
y = z,
file('/export/starexec/sandbox2/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(f10,plain,
! [X2: nat,X1: nat,X0: nat] :
( ( ( pl @ X0 @ X1 )
!= ( pl @ X0 @ X2 ) )
| ( X1 = X2 ) ),
inference(ennf_transformation,[],[f3]) ).
thf(f12,plain,
! [X0: nat,X1: nat,X2: nat] :
( ( ( pl @ X2 @ X1 )
!= ( pl @ X2 @ X0 ) )
| ( X0 = X1 ) ),
inference(rectify,[],[f10]) ).
thf(f13,plain,
( ( pl @ x @ y )
= ( pl @ x @ z ) ),
inference(cnf_transformation,[],[f1]) ).
thf(f15,plain,
! [X2: nat,X0: nat,X1: nat] :
( ( ( pl @ X2 @ X1 )
!= ( pl @ X2 @ X0 ) )
| ( X0 = X1 ) ),
inference(cnf_transformation,[],[f12]) ).
thf(f16,plain,
y != z,
inference(cnf_transformation,[],[f9]) ).
thf(f20,plain,
! [X0: nat] :
( ( ( pl @ x @ y )
!= ( pl @ x @ X0 ) )
| ( z = X0 ) ),
inference(constrained_superposition,[],[f15,f13]) ).
thf(f23,plain,
y = z,
inference(equality_resolution,[],[f20]) ).
thf(f24,plain,
$false,
inference(forward_subsumption_resolution,[],[f23,f16]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM647^1 : TPTP v9.3.1. Released v3.7.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.19 % Computer : n020.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Tue Sep 29 12:31:05 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.22 Running higher-order theorem proving
% 0.08/0.23 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.25 % (983543)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.08/0.25 % (983548)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=3242901920:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.08/0.25 % (983548) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-983543-983548"...
% 0.08/0.25 % (983548)...printing done.
% 0.08/0.25 % (983548)Refutation found. Thanks to Tanya!
% 0.08/0.25 % SZS status Theorem for theBenchmark
% 0.08/0.25 % SZS output start Proof for theBenchmark
% See solution above
% 0.08/0.25 % (983548)------------------------------
% 0.08/0.25 % (983548)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.08/0.25 % (983548)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.08/0.25 % (983548)CaDiCaL version: 2.1.3
% 0.08/0.25 % (983548)Termination reason: Refutation
% 0.08/0.25 % (983548)Time elapsed: 0.001 s
% 0.08/0.25 % (983548)Peak memory usage: 12 MB
% 0.08/0.25 % (983548)Instructions burned: 1 (million)
% 0.08/0.25 % (983543)Success in time 0.015 s
% 0.08/0.25 % Vampire exiting
%------------------------------------------------------------------------------